So, I must be honest; this chapter didn’t find me as enthusiastic as the others. I must be reflective and say that technology when used in math classes give me flashes to a calculus class that was not fondly remembered- so that is probably why I was not thrilled to read this one. However, despite my hesitation to read this seventh chapter there was some very good information in it. I like that this chapter delineates when it is acceptable to use the calculator and when the calculators should be spared. To me, this issue is more often than not left up to the teacher’s particular policy- which in my experience has normally been one of no calculators. I especially like that they focused on doing time consuming calculations with the use of the calculator- it makes sense. Rather than bore your students to tears, let them accelerate through a problem using the calculator for large tedious calculations. I also like that they mentioned specifically that the input into the calculator must be correct in order to gain a correct answer. In other words, students must first understand what is required in the problem before they can use the calculator to solve it. I think this is something that many people overlook- believing that a calculator ‘does it all’ for a student. I believe that this chapter has helped me to see the benefits of utilizing a variety of technologies within my classroom. Like practically everyone has stated, you can’t teach all students the same way. Why would I not allow the opportunity to reach more students on a level that is very familiar to them? I found they suggestions in this chapter to be applicable and useful in order to make the combination of math and technology effective and fun for students.
The first thing that comes to my mind when using technology to teach math is the calculator. This is the first thing discussed in this chapter and the first thing most students use as a resource in math class. The demonstration Dr. Stramel did in class with the calculators/ pen & paper/ and mental math strategies, I was surprised that calculators were not the fastest method every time. When I bought my first graphing calculator I was amazed to find out all the things that it did. I called it "my little computer." What a great resource for those individuals in upper level math classes. I will be teaching in an elementary school setting and hopefully in a 1st or 2nd grade, therefore graphing calculators are not going to be in my vocabulary but I do hope to use other technology while teaching math. In the school I currently work in we have Smartboards in each classroom. This is a wonderful way to use the interactive tools to enable students to move the pieces of a worksheet or manipulate objects to view all the sides. The possibilities are endless and I can see the lightbulb moments happening as they tough the screen and figure out different ways to solve problems. I was happy to see the text talk about digital gaming. I will be happy to use this type of technology in my future classroom to enhance the learning of high and low students alike. This type of technology is said to be the way our society is going and I will be on board wit the teaching. Many times these games can translate into the classroom without the student even realizing they are doing work. Games can be created by teachers on websites like quia.com. Although this was a short chapter the information may be one of the most valuable pieces we learn this semester in this class. Student learn through technology and the more we use it the more they will learn.
Comment for Adrianne Hoefler: O Adrianne, I wish you had not had a bad experience with technology in math class. As you stated, each child learns differently. Using technology in math instruction is a way to get students to think out of the box. Technology can also be useful when creating games for students to play. I used a Powerpoint jeopardy game as a way to give a formative test to 2nd graders. This type of assessment was informal and I was able to capture the students attention with the interactive pieces of the presentation.
Chapter seven of the textbook “Elementary and Middle School Mathematics: Teaching Developmentally (2010) by J.A. Van De Walle, K.S. Karp and J.M. Bay-Williams talked about all the different technologies that can used in mathematics and the different advantages and disadvantages they may have. After reading this chapter I discover pieces of information that was very interesting and made me think of matters differently and made me reevaluate my own views. Something that I learned in chapter seven of the Van De Walle et al. text book was that according to the textbook “Research results reveal that students who frequently use calculators have better attitudes toward the subject of mathematics” (Van De Walle et al.,113). This is a statement that I was not aware of before but does make sense because the calculator gives the student a feeling of confidence. Something that I learned in chapter seven of the text book that made me think differently was when the textbook states that “Based on efficiency and effectiveness, the student should learn when to use mental mathematics, when to use estimation, when to tackle a problem with paper and pencil, and when to use a calculator” (Van De Walle et al.,112). I have always thought that students rely too much on the calculator and on the internet but that is what they will be using in the future I agree that students should be taught what technology is appropriate for different circumstances. Van De Walle et al. textbook goes on to state that “Help families understand that calculator use will in no way prevent children from learning rigorous mathematics: in fact, calculators used thoughtfully and meaningfully can enhance the learning of mathematics” (Van De Walle et al.,112). Just because the student is using a calculator doesn’t mean that they are not understanding the problem and not using mental math as well. I liked how the textbook mentioned many different websites and programs that teachers can have student explore. I have been in different classrooms where these different websites are used and I think they are a positive technology to use in the classroom. One of my favorite websites is “CoolMath4kids.com” this website seems to be fun and exciting for students which actually makes math enjoyable. Also having those different programs where you can interact with different manipulatives is very useful because there is less time getting the materials ready and more time engaging in the subject. Something in the text that I want to point out that is very important is the section of the text that talks about “Guidelines for Selecting and Using Software” (Van De Walle et al.,119). Teachers cannot just use any software or website they want at any time they have to really think about they are giving the students. References: Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2010). Elementary and middle school mathematics: Teaching developmentally (7 th ed.). Boston: Allyn & Bacon.
Jennifer Pen reply to Jena, I defiantly agree with you calculators are the first thing that come to my mind as well. In a way I do not like it when students use calculators because they become dependent on them. Just like the the instructor demonstrated during class sometimes they are not faster and students need to understand that they do not always need one. I think it is more of a security thing then they actually need one. I also like they idea of playing games on the computer as well. I think that this will make it fun for students. I have made games on different websites for other classes that I have taken and I think that do work really well in the classroom.
When reading Chapter 7 over using technology to teach mathematics there were many different areas that I was able to consider throughout the chapter. I liked the sections that talked about the uses of calculators as well as the different benefits that come as a result of using calculators in the classroom. I loved the part of the chapter that talked about how a student should know the right time to use mental math, estimation, paper and pencil and calculator. This is a really important concept for a student to grasp and is an essential strategy to use when going about solving a math problem. I thought that the section dealing with guidelines for using software was very helpful to me as a future educator. I now know the different steps I need to take now in order to select the best software available for my classroom and my particular groups of students in my class. The software that might work for one 2nd grade classroom may be totally wrong for another 2nd grade classroom you need to look at the students’ individuals needs. Lastly table 7.1 was helpful because it told me how to evaluate web resources. This is a table that I can refer back to in order to check the web resources that I find to use in my future classroom.
In response to Adrianne H. I also liked that the book explained when it is appropriate to use a calculator and when it is not. I feel that sometimes students rely too heavily on calculators and don’t use mental math or paper and pencil when they easily can. I liked the fact about making sure that everything is put into the calculator correctly in order to get a correct response. It sounds like an obvious fact but sometimes students don’t realize that they are entering the problem into the calculator wrong and then can’t figure out what they are doing wrong. Lastly I also found this chapter to be very beneficial to me and allowed me to see the way that technology can be used to teach mathematics.
Chapter 7 was on how teachers can incorporate technology into mathematics. Obviously, the first technology that comes to mind is a calculator. When I went to school, we weren’t allowed to use them until we got into Jr. High. I can see why the teachers didn’t let us use them, but I don’t agree with them. In my Educational Psychology textbook, the author presents these two views; whether or not calculators should be used. I think that they should be used because I believe that they benefit learning. We are far from the days of pencil and paper, and technology is readily available. I thought that the section on drawing tools. I know that there are programs that can draw 3-D shapes. I can’t help but think that these would help a student in Geometry. Being able to see all the sides of the shape could flip a switch on in their minds that help them solve the problem. I believe that we should be embracing technology in the classroom, and especially in mathematics. As I said earlier, the world has changed drastically within the last 20 years. We as teachers need to realize this, and incorporate it into our lessons.
In response to Jena- I like that you brought up digital gaming. I think that this method could be used in the classroom. I think we all remember using the program “Math Blasters” in elementary school. This was one form of early gaming that helped students. I think that the gaming industry needs to gear more of their products toward fun, educational programs. If there was a quality program that would benefit the students in my classroom, I would be more than happy to let it in.
In response to Jena S, You are fortunate to have access to Smartboards in your internship setting. I am in a very financially stressed district, and I have thought to myself how much better the instruction could be if the students had access to technology like this. Even manipulatives are scarce, and I know that some of my students would have their own lightbulb moments if they could just have another way to 'look' at the concept. I also like that you mentioned digital gaming, I think this is a wonderful, often under used, asset to all of us. Thanks for your thoughts!
Chapter seven reminded me so much of my internship this week. The first graders started using calculators. They had a total of five numbers and had to use a calculator to add them up. They all were excited, of course. They loved using them. I think every single one had typed their phone number as soon as they received the calculator. When the teacher told me they were going to be using calculators I was shocked. When I was in elementary school we never used calculators until the fourth grade. Even then we hardly had the chance to use them. I liked the information the book had on calculators. I do think they are a great tool to use during math, but I really think they should go through the basics steps of addition before handed one. I mean, what will they do now? I can just see them being lazy and saying “I will just use a calculator.”
In response to Brooke: I thought the computer activities mentioned were great. Children love to use the computer and most of them know a lot more about it then I do. I thought the Isometric Drawing Tool was really cool. I think it is important to incorporate different content like that instead of those constant computer math games, you know? Get the student to interact with the game. Make them draw a shape using the mouse or touch pad. It will develop different motor skills.
Calculators are a useful tool that children should learn how and when to use at a young age. You make a good point in regards to when, when is the hard one to learn. Will students want to use them all the time, certainly. Calculators available in any classroom must be carefully monitored to use when they should not be used. Most school provide calculators so the teacher can put them up when the students should not be using them, maybe even lock them up
Technology, in math that does mean more then calculators, but calculators are what first comes to mind. As I read this chapter I came to understand more about how far technology has come since I was a student. Technology is one area that really tests every teachers willingness to change they way they do things in the classroom. While the development speed of computers and computer software has slowed down it is still fast. at times in the past 20 years it has been suggested that a computer is out of date by the time you have a chance to buy it and get it set up in your home.
Technology changes quickly, we as teachers have to deal with that. While teachers should not bring every little thing that his that market and quickly goes away into the classroom we should be early adopters of the things that last.
This chapter does a good job of discussing the basic issues of technology and its use in relation to the math classroom, but it is only the beginning of what is out there waiting for us.
I like this chapter, but I understand that technology changes quickly and costs a lot of money. As teacher we must understand that our students will use technology their whole life, we need to teach them how to use it and when to use it to the best of our ability.
Chapter 7 is based on using technology to teach math. Technology is so important to incorporate into every subject, math included. Students get so bored if you are just using the whiteboard to teach. Some examples of technology are desktop and laptop computers, handheld devices, collaborative authoring tools, computer algebra systems, online digital games, podcasts, spreadsheets, and many others.
Calculators are also an important tool to have in the classroom. But I believe there is a fine line of when to use them and when not to. I think that it is perfectly fine for students to use calculators during a math lesson, as long as they know the information in their head first. I think that teachers need to switch it up so that students aren't always using a calculator though. When students are allowed to use a calculator (no matter what grade level) on every problem, they will slowly start forgetting even the most basic skills.
I think that my favorite thing for students to be able to do on the computers is use software to learn or practice math through gaming. I think that students learn best when they don't even know that they are actually learning. There are so many software games out there that make math practice fun!
Deidre J- I totally agree with you. Calculators are a useful tool and students should be taught how to use them. But there is a fine line. Students need to know the basic math skills first. They need to be able to do them on paper or in their head and then learn how to do them on the calculator. That's just my opinion.
Getting used to using calculators in the school is going to be a problem for me. I guess it’s a stigma for me to change. I enjoyed reading that calculators can be used for drills. I wouldn’t have thought that calculators could improve attitudes and motivation. As a special education para, I can see how letting the students use a calculator for basic solving to help enable them to answer more difficult problems in a timely manner. I can see how important it is to teach them how to use calculator properly and have practice using them on a regular basis. I had no idea of applets. These are great! I went and played hiding ladybug and making rectangles. I think the guidelines for using software. I like the idea of going to a good site to hopefully find other good sites; such as “myeducationlab.com.” I also think it’s great to make a list of all the web sites that you like to use and share them with each other. I had not thought about checking a web site for authority, content, objectivity, accuracy, currency, and audience. Digital I’m still getting used to; Wikis, Web Logs, and Blogs. I’m glad were experiencing Blogs for this class, I had never used them before.
I agree with Jeremiah G. technology is expensive and constantly changing but it really does benefit us in teaching our children. From Elmo's that help us allow children to see what we are working on better, calculators to aid us in our lessons, or the fast and unending supply of ideas that are on the web to make learning fun for our children. It all helps us to reach our children and keep them engaged.We can make teaching rewarding for both us and our students, while making it connect to their lives and futures.
I sometimes feel overwhelmed with all of the technology that is found in a classroom today. I still haven’t gotten used to the SmartBoards that are in just about every classroom today. However, this technology thing won’t disappear. Even in two years or so when I have my own classroom, I’m sure there will be tons of new things to learn to use.
When it comes to math specifically I always tend to think calculators are as far as technology goes. The text (and witnessing things in my internship) has proven this to be wrong. However, I do have a problem with calculators. I think too often we rely completely on calculators, and in now way is this helping the students learn. I actually just took a statistics class a few semesters ago and the professor told the class that she could teach us to do the calculations by hand but it would take too long and we’ll never use long hand calculations. WHAT?! I paid money to take this class, and you’re going to only teach me how to put things in my calculator? Granted it was a group of college students, but I’d hate for any teacher to be this way with a group of elementary students.
I think bringing technology into a classroom benefits all students. It’s something new and exciting, and given most of these kids have been around technology (like computers) it is what they are used to. It can make learning memorable, especially if the students have an interest in technology.
I never would have thought about teaching the students how to properly use a calculator prior to reading and watching the lecture that corresponded to Chapter 7. Typically in elementary schools there are classroom sets of calculators for the students to use. If they do not properly use them or take care of them they might not have calculators to use in the future. Good thing graphing calculators aren’t used in elementary school… I could only imagine the headache that would cause for educators.
Even today I don’t typically thing about authority, content, objectivity, accuracy, currency, or audience (unless I’m doing a research paper). This is something I really need to keep in mind. I also agree with the technology / digital things. I think they have a lot to offer, but it can be quite confusing to get used to.
I found this chapter about using technology to teach mathematics very informative and it gave some great ways to implement it in the classroom. One of the quotes that I really liked stated, “Using calculators thoughtfully and meaningfully can enhance the learning of mathematics,” and I think the key words to take away from that are thoughtfully and meaningfully. Instead of only having calculators be used to avoid actually thinking through a problem, they should be used in a way that enhances the thought process. When students are not trying to compute, using a calculator can be helpful, such as looking for a pattern. I found the section about the automatic-constant feature very interesting and I honestly can’t remember if we were taught how to use that and if so, I don’t think it was really encouraged. I think it’s a great way for students to practice counting by twos, tens, etc. and it’s an easy way for them to be able to self-check. Students will be expected to know how to use a calculator as they get into high level mathematics classes as well as in society, so teaching them these calculator skills at an early age can be beneficial.
The capabilities of graphing calculators are endless and can be very helpful to students. They include many different programs and are able to calculate large formulas. If students are able to understand how to do these processes without a calculator, I believe that using it will only help enhance their understanding. Students can generate two-dimensional representations using graphs and plot points and using a calculator for these operations makes these tasks much more user-friendly. I didn’t know that there was a special Texas Instruments motion detector and it sounds awesome. It can be used to help students calculate rate, inclines, distance and many other things.
The chapter also gave some great resources for finding online manipulatives that help students have a visual of the mathematics concepts. There are endless resources on the Internet that can be used to practice geometry concepts, formulas, graphing and using virtual manipulatives. These programs can also be very beneficial for students that have special needs or ELLs by providing additional audio and speech enhancements. There are also computer programs that emphasis drill that can be helpful to students and they can also be customized depending on their needs. With all of the available software and programs out there, teachers need to be sure that it’s appropriate for the needs of their students. Some programs may boast of awesome graphics and colors, but if the content isn’t up to par, it’s not worth the money. I enjoyed many of the strategies and programs that were presented in this chapter and I can’t wait to try them out in my future classroom.
I thought your post about how we are in the age of technology was very insightful and true. We are at the point where we can do mathematics using a variety of materials, manipulatives and technology and our teaching practices need to reflect that. It’s like the question that Dr. Stramel asked in class: Can teachers be effective if they don’t know how to use the Internet? I honestly don’t think so and believe their students will be missing out on some valuable lessons if technology is not emphasized in the classroom. I think that if I had access to 3-D models during geometry class, I might have been able to visualize the shapes much better.
Chapter 7 is about using technology to teach mathematics. The text states that technology can be used as a tool to teach and learn mathematics. Obviously, the first thing that comes to mind with technology and mathematics is calculators. I know I rely way too heavily on calculators, and this can be the downside of technology. I am not confident in even the simplest math problems because I stopped using these skills a long time ago and use a calculator for everything. I know students need to learn to use a calculator, but they need to have the basic skills first. The text actually discussed many benefits for using calculators. The text also discusses how computers can be used for mathematics instruction. There is software available and I have also seen websites where students can get on there, maybe for an enrichment activity, and work different problems. One thing that I think will be really useful in the future is the sections on guidelines for using software and how to select software. This will help teachers, like myself, find appropriate software for math instruction.
I agree that using technology in math can help get the students excited about it. Teachers need to switch things up and can't just stick to the same old things they do every day. I also agree that there is a fine line with the use of calculators. Students need to have a basic knowledge of math skills and continue to use them with and without calculators. If they only use calculators they will come to rely too heavily on them and forget what it is like to actually work a problem.
I was going to talk about calculators because I just found out (prior to reading about it in the text) the benefits of allowing a student to use them. BUUUUUUtttttt...just about everyone saw the same as me. Van De Walle (who also did an Anatomy and Physiology book, by the way) talks about working online in his "Drill and Reinforcement" section. The kids at school were just in a competition using SUMDOG.com to earn cash and prizes. Moscow won, I believe. The kids get on and they play math games. They loved it and it really increases their speed of calculations because they play against other kids in other schools who are playing the same time. It was great! I work with a 12 year old whose math level is 2nd grade but he has learned so much in just doing this program! I used to take him out of the class, but now we stay in the classroom and he proudly works very hard to learn his class level. I never understood the benefits of online gaming but it truly has benefits!
In this chapter right away we start talking about calculators. Many teachers have different views on letting student use them in math. I really like all the benefits of calculators that the book brought to our attention. The section that stuck out most to me was “calculators can improve attitudes and motivation.” In the chapter is said that student should know when to use mental math, calculator, paper and pencil. I found this very interesting because just like Dr. Stramel had us is groups doing this same thing, it isn't always fast to grab the calculator. Each student learns different ways so we as future teachers need to accommodate to them.
Emily M, I understand how you feel about the use of calculators in the classroom, however, the first time I was told "They will never use the hand calculating" I thought "You're right!" Then I went on and said "But they need to understand the how, if they are to understand the answer. Then I began learning the benefits of the calculator and how by using a calculator they actually pick up the methods. Grant it, it is a slow process, but they do! Interesting isn't it. Excellent post by the way.I like the fact that you took the underdog side and were not afraid to express your feelings about it.
To Linda McC: This program sounds amazing! I have never heard of it before. I think that students are very competitive and having them play against other people is great because they want to win, and therefor they are doing math and not even realizing it. I agree with you that online gaming really does have its benefits. Like Dr. Stramel has pointed out students learn many different ways.
Tammy M I am not only reading, but seeing the benefits of technology with students. For one it aids in the teaching and second the students love it. It's cool, it's up to date, it's not boring! Kids would much rather play on the computer than sit with a pencil and paper using their mind! (did I sneak that dig in?) Personally, I think they need to learn the process and allow technology to take over when they get older, but I am seeing that is not the consensus of the majority. It is exciting though, to see how much the kids learn and how excited they are to do math if they get to use the computer.
I think I wore my highlighter out in this chapter. First, I learned what was considered technology in mathematics. Then the section about the debate on the use of calculators in the classroom was very informative. I like how the book gave both the pros and the cons of the research. This section really made me think about what I believed and gave me a different insight on it. The activity they used with Goodnight Moon sounds like a wonderful way to get younger children engaged in counting and listening at the same time. The section on computers in mathematics gave me a lot of new ideas to use in the classroom. One of the many programs that caught my eye was the Base Ten Block Applet by arcytech.org. What a great way to for the students to practice using base ten. I would probably first demonstrate it to the whole class on the big screen then use it as a center during choice time for math once a week. I also liked what the book said about Thinkport programs. Kids today need more skills in problem solving and this program offers stories in a real context setting. The book also gives suggestions and tips on how to select computer programs. The last technology I feel I could use in my classroom would be a podcast. I think it would be great to record me teaching new concepts and put it on the class website for my students to review as needed at home. Being an online student has made me very aware of how valuable technology can be in the classroom and how much our students need to be familiar with what is out there. Yes, it may be more time consuming, but I hope to be able to use technology on a regular basis in my lesson plans.
I have never heard of that game, but I am looking forward to trying it out after this blog. It would be an excellent tool to use in the special education room. The kids love to play on the computer, but they have to earn computer time and it has to be an educational game. This would be so much fun for them because many of the kids are very competitive and they would enjoy playing against students from other places. Thank you for your comment! I have something new for the kids, how exciting!
While I did not find this chapter as interesting as some of the others we have read, there was a lot of information pertaining to the use of technology in the classroom. I used to think the use of calculators in the classroom defeated the purpose of teaching math but then I began working in a classroom and saw how the calculators were actually used. Just as it states in our text while a student should not use a calculator to do basic computations, the calculator can be used to perform more in-depth calculations in relation to more strategic math problems such as exponents, square roots, graphing, and numerous other math problems. When teaching students geometry there are also good computer programs that can be used to teach the concepts but I feel teachers must always remember that many students need to have the visual hands-on manipulatives to experience the concept in a real life situation. The students need to be able to feel and see the 3D models. Spreadsheets are an important concept for students to learn on the computer. It was interesting to go to some of the websites this chapter provided and I will have to remember these when I am in my own classroom.
This chapter was great! I absolutely love the resources that the author provided me with!
First of all, technology enhances any lesson. Students thrive on getting to push buttons, turn knobs, etc. As teachers we can get students motivated by providing appropriate technology so that kids will love math and want to come back for more.
Okay, so I realize the calculator debate has been around for ages. My own personal experience is that I am a perfectionist and I must check my answers. It drives me nuts not knowing if my answer to a math problem has been checked and rechecked. All of my math teachers have given me ample time to use the calculator. I guess in this debate it is like the cell phone argument in school all over the nation. Kids have them, and we know they are going to use them; let just let them use them without having to be sneaky about it!
So, I wanted to share an awesome resource with you guys and gals. Check out illuminations.nctm.org Click on the "Lessons" tab, and you can bring up several lesson plans to fit your grade level and the standards. Plus the site gives extensions and assessment options. I have bookmarked this site because I know I will be using it for my unit lessons!
In response to Angela, Thank you for bringing up the spreadsheets idea. I remember in junior high, my teacher had a whole unit on spreadsheets. Data interpretation is a standard and what a great way to incorporate technology.
I am in science methods internship where I go to a fifth grade science room. In this class, the students are always inputting their values into a spreadsheet and graphing the results. The students are learning about science while plotting data on different kinds of graphs (bar, circle, line, etc.). Integration at it's finest!
@Brooke M. I liked how your brought up the part about that students should know when to use mental math, paper and pencil, and calculators. “The use of calculators does not threaten the development of basic skills and that it can enhance conceptual understanding, strategic competence, and disposition toward mathematics.”
I enjoyed chapter 7, however I found it a bit hard to get in, most of it seemed a bit common sense. The first part of the chapter talked about calculators. I also think that computers have a very important role in a mathematics classroom. I think they can be used in so many ways including general instruction and practice. I also liked the part about how to select good software and how to use it appropriately. I also think there are some great resources on the internet however they have to be closely monitored because of site ads and such. All in all a good chapter with good resources.
To Lacey: I loved your post. I agree that kids love technology. In my internship they just got a Smartboard and the kids love it. It's kind of funny because they offer assistance when the teacher is having trouble with. What technology we are afraid of doesn't bother them at all.
First of all as reading through the posts I noticed a lot of people comment about the use of calculators. Personally, I have been anti calculator for the use of basic math. However, my opinion has changed some after what I learned in class this week. I never had thought about how punching numbers into a calculator could be used as practice for the students to learn facts. I still believe it is very important for students to learn their basic facts. In addition, I like how the chapter addressed the use of a calculator. I remember taking Algebra II in high school and trying to figure out how to operate my scientific calculator. I still struggle with this concept. However, I agree with the text about it helps students visualize the concept. I think the use of computers in a math class is awesome. I work as para and just a few years ago students had to draw their images on paper for drafting. Now they have computerized program that produce three or four d images. I imagine how much fast a project can get done with this kind of technology. My children have been able to access math sites on the computer to practice their multiplication. This has come a long way from when we used flash cards. Technology is great because it can reach all kind of learners.
To Angela R: I think for most of us we need to get past the idea of a calculator only being used for basic math. I am amazed at what a calculator can do. I think in advanced math classes a calculator is a must.
Chapter 7 was very hard to keep interested in for me. Even though it wasn’t very long it had information in it that I felt was pretty much common sense. I guess I just agree with what the book is saying so I didn’t really have to think about anything very much. The facts about the importance of calculators could some day be helpful because if a school does not want kids to use calculators you could state why they are helpful. I actually grew up doing math on a computer. When I was in 6th grade we started accelerated math. This is pretty common these days, but I think kids really enjoy it. The one thing I did not enjoy about accelerated math was it was difficult to actually teach a lesson. I think it is great that every single student can go at their own pace but at the same time its hard to teach 12 lessons every day. Then there were the students who were so far ahead, their information on AR Math was much more complicated and took longer for the teacher to explain. It seemed that this kind of math did not benefit every child just the flourishing ones. Using the computer to actually teach math is a great idea. I had some children in summer school this year and they loved playing addition games on line. This is a great way for children to learn but also have fun in the process. I also think that Smart Boards are amazing. Smart boards are interactive and technology based. How amazing is that?
I love the statement you made about keeping manipulatives in the classroom. I think that that is very important. Children do need the hands on feeling of the manipulative to actually grasp the concepts sometimes. There are children that probably learn better by computer and others that don't. That is why it is important to keep an open mind in your classroom and be very adaptable.
@ Jena Simms I agree the information in this chapter is so helpful and will be a good resource to come back to. Technology and gaming in the classroom is so important because it is in our students lives daily, so it only makes sense for us to try to incorporate it into our lessons. I completely agree about the gaming aspect, so many of our students are gamers so this is a fantastic option to have to integrate technology into our classroom.
Chapter 7 was all about incorporating technology into the classroom and using manipulatives. I found this chapter to be very informative and interesting because technology is only going to get more complex so I believe all teachers should know as much as they can about technology in the classrooms. I really enjoyed our discussion about to use or not to use calculators, we had this discussion in class and I watched my adobe connect. It is interesting to me to hear everyone's opinions on rather calculators should be used in the classroom or not. I used to be very old fashion and agreed that they shouldn't be used on test, etc. but now as I get older and see the technology increasing I am all for using calculators on tough lessons. I also really enjoyed the section on the benefits of calculator use because I agree with each benefit. When I have a classroom of my own I play to use as much technology as I can and get my students prepared for the real world of technology. I believe technology can be a great resource used for teaching, you just have to know how to use it.
In response to Angela R--I also completely agree with you when you stated that manipulatives should be kept in the classroom. Since I do work at a school, I do know there are so many useful manipulatives that can be used with many different lessons. I believe most students even enjoy using manipulatives because it makes learning active. You made some very great points in your post, thanks for sharing!
I really enjoyed this chapter on technology. I liked reading about the different types of technology that you can integrate into your math lessons. In my internship my mentor teacher uses her smart board all the time. She has recently started showing me how to use it and it is a great way to teach the kids the lesson and still be able to walk around the room. I love it! I think that I will always use technology to teach math. In response to Amanda- I agree. I didn't feel like there was anything in the chapter that I didn't already know.
When I think of technology in the classroom, calculators are not what I tend to think of first. I recently read something that said, its only technology if it was created after you were born. I thought that kind of an interesting statement or a controversial one at least. I think I would have to disagree with that statement, because that would mean that technology would be different for everyone and I believe that technology is just that…technology. This topic is something that really intrigues me. I agree with the part of this chapter that basically states there is a time and place for the use of calculators in the classroom and they do present a value. What really get me excited about technology is our emerging technologies. I have already been involved in many classes that are using blogs, web based documents centers, chat rooms, skype, wikis, and podcast. All of these types of resources have made it possible for many of us to earn our education in a more untraditional way. With tablets, software, and cell phones growing in their strength I believe the sky is most definitely the limit for the possibilities within our own classroom. I can’t wait to use technology as much as possible. I believe that it is something that can help engage the students not matter what subject is being taught.
I am probably one of the many that supports technology in mathematics. I feel that calculators are very beneficial for students. I don't think they should be used until they get a grasp of the basic skills though. If they know how to get to the answer, then the calculator will just help them get to the answer quicker. As students get older, they will definitely want to use them more often, especially when getting into higher level algebra and geometry classes. It's very interesting to see all the different types of technology that is available for use. It is greatly beneficial to all students. Not only do they help children with the problem, but they will also have a little more fun using the technology. It's very exciting to wonder about what the future holds for technology use.
I haven't been able to use a smart board in my internship yet. I have heard many great things about them. I do know that they are very beneficial to not only the students, but the teacher as well. But I agree with you when you said that this chapter contained a lot of information we already probably knew about. It's just kind of fun to think about what they may come up with next!
Technology has never been one of my areas of strength, so I am grateful for all of the information on educational technology I can get. I don’t remember using any kind of technology in mathematics when I was in grade school. Calculators were not allowed. We were supposed to do it in our heads or work the problems out on paper. It wasn’t until I got into high school that we could use calculators, and those were graphing calculators for Algebra. It wasn’t until reading this book and taking this class that I realized there are benefits to using calculators in the elementary classroom. I like the idea of using computer probability tools to generate coin flips or spinners. I think students would find it interesting to do these things on the computer from time to time. I am beginning to see that there are unlimited ways in which we can incorporate technology into mathematics instruction.
Matthew B., I agree with you that it is exciting to think about what new technology will be available in the future. The other day I saw a fourth grade math class using their fingers to write out their math problems on ipads and make videos of themselves talking out the process. I know I sound old for this, but I thought to myself, what will they think of next!
Chapter 7 discusses the different types of technology that can be used to aid in mathematics instruction, the most basic of these, being the calculator. The use of a calculator or rather when a calculator should be allowed to be used is something that most people have an opinion about, and something many people feel strongly about. However, I think that text put it perfectly. It states that “based on efficiency and effectiveness, the student should learn when to use mental mathematics, when to use estimation, when to tackle a problem with paper and pencil, and when to use a calculator. Ignoring the potential benefits of calculators by prohibiting their use entirely can inhibit students’ learning.” I personally, was not allowed to use a calculator until I knew how to work out the problems using pencil and paper. I think this was effective, because I learned how to find the answer without relying on a calculator. I also think that sometimes exceptions need to be made for students with special needs. If using a calculator allows them to do higher level math problems, then I think the pros outweigh the cons. I also like the texts suggestion of using calculators for drills, because students can “self-check” themselves. Chapter 7 also discussed the use of computers and software in mathematics instruction. There are several ways that I could see this being particularly useful. One of these ways is through the use of probability tools. With these tools the teacher, or even the students, can design their own “controlled probability experiments.” I think this could be a really fun option for a lesson on probability and also is a great alternative to pencil and paper assignments. I also appreciated the section on how to use software. I think the text gave some good guidelines for how to introduce software, as well as balance it with other activities. Overall, I thought Chapter 7 was a good discussion on how technology can and should be used to enhance learning.
I was allowed to use calculators sooner than high school, but I wasn't allowed to use them until I knew how to work the problems out on pen and paper first. I like the example the text gave for students using the calculators for drills and self checking. I think this is a great way for calculators to be beneficial.
I was excited about this chapter because I’m all for integrating technology into the curriculum whenever possible. I’m familiar with the use of calculators and computers in mathematics but I was mostly interested in the types of instructional software discussed in this chapter. I know I’ve mentioned this in a previous post but a few students in the classroom I intern in are doing an RTI called IPASS. I would consider it a drill and response program. The students start from the beginning, Kindergarten, concepts and learn them through repetition. Once they have the new concept down pat the software then tests them on it. They must achieve a certain percent to pass the test, otherwise they go back to the concept review. I hadn’t heard of IPASS before I started interning but it got me interested in other types of mathematics software. I’ve heard good things about the Prime time math series listed in the book. What I like about it is the fact that it utilizes real-world examples. I think any concept is learned easier when students can relate it to a real life situation or experience. I do realize the need for hands on math instruction though as well but I think that it can be combined with technology instruction to reinforce concepts in a fun way. I also enjoyed reading the short paragraph on digital gaming. I think more and more education websites are becoming focused on gaming and I can’t say that I’m against it. By no means do I think students should be on a computer constantly but I hate worksheets and whenever a game can be substituted for a worksheet assignment I’m all for it. There are so many new, fun, and exciting ways for students to learn with the internet, why not utilize it? I know there has to be a happy medium with the use of technology and verbal teaching but I think technology should be integrated as often as possible.
Elizabeth, There really are so many ways to integrate technology into the curriculum. I was able to utilize lots of technology as a student growing up so I had a very different experience from you. Technology allows for out of the ordinary experiences for students. Instead of the regular chalk board lesson they get to play with interactive smartboards now. Instead of the plain old worksheet they get to do interactive games instead. These are both things that are more hands on and exciting for students, and therefore more memorable as well. I hope you find the use of technology a positive integration in your future classroom!
First of all when I think of technology I think of computers mainly. It's really hard for me to realize that it's more than just computers. The book defines the use of technology in mathematics as "desktop and laptop computers, calculators, and other handheld devices, collaborative authoring tools, computer algebra systems, dynamic geometry software, online digital games, podcasts, interactive presentation devices, spreadsheets, as well as internet based resources." That to me is a lot of ways to use technology. I feel technology is a good thing, but feel it must not be over used. Children who are born today know nothing of what it was like before we had technology. All they know is how to do things using some form of technology. I think stepping away from technology a little bit can be a good things. My mentor teacher allowed her students to use any types of resources for her students first unit exam, but then after that they can't use anything that way they can prepare for CSAP. I think that is a great way to do it. Standardized tests don't allow students to use any type of resources except for pencil and paper sometimes, why not practice it in your classroom that way it's not a shocker when they can't use a calculator. The book mentioned how electronic or virtual manipulatives have some advantage when they are integrated into the instruction and aren't just there for fillers. Such things as qualitative differences in use, connections of symbolism, unlimited materials with easy cleanup, and accommodations for special purposes. Instructional software is out there for concept instruction, problem solving and for Drill and reinforcement. The book also talked about four considerations when it come to selecting and using software.
I love technology. In fact our entire family loves technology. However, technology is very hard on the bank account. A lot of research is needed before purchasing any type of technology. Thankfully a number of free resources are available when it comes to games and virtual manipulatives. I am grateful for the websites listed in the text that will be a valuable resources for researching technology.
This is my first year to be in a school that has a smart board. Everyday my mentor teacher uses the smart board with her math lesson. It is a great piece of technology. However, I wish the curriculum used would be more interactive with the smart board. In the classroom the book is displayed on the screen and the students work together at the board to solve the problems. So essentially it is being used as a projector. I know that it could be used for so much more than that.
@Shawna I'm glad that you mentioned cell phones. The week my son had an assignment to play with an adults cell phone for number recognition. We had a blast doing this assignment together. I would call out three or more numbers then he would type them in. A very simple activity that can be adapted to many degrees.
In response to Lindsay Sabala, I agree with you and the book on the use of calculators. I feel like the students should try and figure the problem out using ever way the have learned before using the calculator. I feel children theses days rely on technology enough as it is that we can try and get them to try the old fashioned ways until they feel they can't solve the problem. I agree though that they shouldn't be denied the calculator they just need to attempt the problems without one first.
Chapter 7 was about technology in mathematics. The calculator is a widely used piece of technology. I really enjoyed the activity that Dr. Stramel had the face to face students do with the mental, pen & paper and calculator, was very interesting. There are a few different types of calculators, and many calculators are more elaborate and a lot harder to understand. The teacher needs to make sure that the students know how to use the calculator and what they can do with them. Teachers also need to make sure that the students know the right time to use it. They need to know that they are not able to use it all the time and that sometimes it is quicker to do it by mental math or paper and pencil. I feel that other sources of technology should be available for math. Many people have mentioned smart boards, and I would really enjoy using them and seeing what they can do to help students during math. The computer is another great technology tool. There are so many great websites out there that can help students learn mathematics. There are also some great resources and websites for games that can teach students their math problems. My son is in 8th grade and his teacher uses a program like Mathematics Island (I think that is what it is called), and they do problems and get practice for the types of problems that come straight out of their textbooks.
In response to Brandi s--- Our family loves technology as well. We own a desktop, a few laptops and an iPad. We use technology for just about everything we possibly can. My husband is going to school for computer programming. I am on the internet daily for my school stuff, and also for my banking and other things that I need to worry about in life. I had my computer hard drive crash about a month or two ago and I lost everything I had on it. The most important things were my pictures and my school work, but I learned that I need to start backing up my stuff. I would be completely lost without my computer and to save my stuff because it is my life.
Chapter 7 was all about using technology in mathematics. As technology keeps advancing there are so many different options and tools for teachers to use within their classrooms. One thing that I really found useful was the virtual geo-board. This is a great way for students to see the shapes they create on their personal boards on a larger scale and they can compare them to how their shapes can differentiate from the ones other students in the classroom create.
I also enjoy how this chapter gives a guide of how to choose software to use and different ways to use the software. There are so many different software programs that it can be difficult to know which one may be the best for what you are teaching. This goes along with Internet resources. It is important to choose a reliable and accurate resource.
I do however wish the textbook gave a bit more information as to what software or resources they would recommend.
I agree that it is very important for the teachers to make sure the students know the basic functions of the calculators and how to use them. A calculator is not a good resource for students if they cannot use it correctly and get they answers they need from it. Smart Boards are a great tool for teachers and get the students excited when they have the chance to interact with the Smart Boards.
I enjoy technology and feel that students love to use it and because of that, I really enjoyed this chapter. As one who feels really inadequate doing math without a calculator, I can understand and respect being cautious when introducing calculators to students. I feel that I was not taught very well in my fourth grade class and that since then, I have struggled with math without a calculator. I feel that it is very important to teach students how to do math without a calculator. On the contrary, I love calculators! I know that they can only do what we as the operator tell it to do. In upper level math, I feel that it is necessary to have a calculator to do math. I also feel that computer games are very helpful with learning math because students don't feel like they are working, they are doing math and enjoying it.
Chapter 7 was a pretty basic chapter over the different uses of technology in a math classroom. When I think of technology, I think of a computer, but when I think of it in math I think of a calculator. My reasoning is because I was forced as a child to always pen and paper. Even if we did a problem using a calculator we still had to show some kind of work on the paper. I’m not saying I disagree with the way my teachers taught me, I am very good at math and love it. The topic on the use of calculators is so controversial. We do want our students to be able to do the basics of math without calculators but we don’t want them to spend so much time on the problem that they lose site of the actual concept that you are trying to teach. Another students pointed out that we have to prepare our students for the state test and I know ever year on the 7th grade test they have a basic 4 digit long division problem and you would be surprise how many students can’t do long division and get the right answer. Another key point is that you have to make sure students understand how to use a calculator before allowing them to use it…putting 4/48 get a completely different answer than 48/4. In conclusion I do think it is important for our students to use calculators and any other type of technology in all of their classes, because honestly think about how often you use these things in everyday life. I know for sure the calculator on my phone is used way more than the scratch paper in my purse.
In response to Carissa K.: I also liked the fact that the book gave suggestions for different software to use for teaching math. When I taught pre-k, I had a computer in my room called a Hatch computer. This was one of the most interesting pieces of educational technology I had seen in a classroom before. Each child had their picture on the computer, to log on, the child would touch their picture, then touch it again in a different line up to ensure that they child chose themselves. (It was touch screen). This computer tracked their progress on different subjects and different aspects of each subject including math: patterns, number recognition, rote counting, sorting, etc. When they began, it would say how well they are doing in each portion and it would inform me, as the teacher, when they were "ready for kindergarten" in that area. It would also tell me when they are struggling in an area and need one on one help! It was so interesting and a wonderful tool to have in the classroom!!
In response to Kymberly R. I totally agree with you, the calculator is only as smart as the person operating it. I know at the beginning of the year the 7th grade math teacher goes over all the buttons on the students (new) graphing calculator so that they can properly use it. The students get so upset with her during one lesson where the first day she teaches them how to do exponents long hand and the next day she shows them the button on the calculator for it. It makes me laugh because you can see the sigh of relief that they now don’t have to do their algebraic problems without a calculator and spend hours doing it. I couldn’t imagine doing upper math without a calculator, I would spend so much time working out the problem that I would loss site of what the real concept of the assignment is.
Chapter 7 was about technology and how it can be used in teaching mathematics. The two main devices that were talked about in the chapter were calculators and computers. Technology is a great thing and it can enhance learning. As I was growing up I absolutely loved being able to use my calculator in my math courses. There were a few times when we weren't allowed to use them on certain tests and I would be upset. When I actually looked at the problems I would realize that I knew how to do them without a calculator. A lot of the time I was just too lazy too do the math in my head or with pencil and paper. I remember catching myself using my calculator for simple math like 12+13 . The only reason I used my calculator was because I was use to it. Although there are many benefits to using technology, it can also be bad when we rely on it all the time. In my high school math courses my teacher would always teach us how to solve the problems with pencil and paper before she taught us the short cuts and how to do it on our graphing calculators. I loved that because students need to understand why they are punching certain numbers on a calculator. You need to start at the bottom and build the knowledge and understanding up.
In response to Brandi S They just got a smart board installed into my internship classroom about a week or two ago. The students were so eager to be able to work with it. They have been using the smart board for some of their work and the students really enjoy it. It is a great way to introduce them to technology because I do not think that they are ready to use calculator just yet. Using the smart board is a great way to help the students interact and learn together.
Chapter 7 opened up a whole new way of looking at technology in Mathematics for me. In the past, technological tools tend to be viewed as the enemy. NCTM’s take on calculators in the classroom is refreshing. I like that technology should not be an “extra” or an “add on” but that technology should be viewed as an essential tool for teaching and learning. I think this goes together with what FHSU is all about in regard to technology and laptop learning. This is also in line with what is happening in the school that I have my internship in. They are very forward thinking in regard to technology in the classroom and it is a great tool, it is not used just for the sake of technology and it is not ignored or viewed as one more thing that teachers have to incorporate. It is a tool to enable more group projects, more opportunity for the teacher to observe students’ work (since she can set it up that she can see all her students’ pages at once). I like that calculators are acknowledged as a tool that can improve attitude and motivation. Page 115 gives the web-based tool reference of arcytech.org (the whole address is listed in the text) which gives many more online resources! It is a great resource and one that I will bookmark for later reference.
Rebbecca B.~ I thought you made good points about the calculator. It is important that students know how to use a calculator and the technology at their disposal properly in order for it to be a useful tool for them.
I think that technology in the classroom is becoming the new frontier of teaching. Where as before we had calculators and overheads, now we have smart-boards, laptops, and ELMO's. I was reading about how technology improves the attitudes of the students who are using them, and I totally agree. I was a student who struggled a lot in math when I was younger as well as now. When I had a calculator in my hand or a computer at my disposal it was much more comforting than doing mental math. Technology, in my opinion, for math is a great thing. I don't think it should be used all of the time but sometimes it is very beneficial.
In response to Carrie H: I think it is great that you are learning about how technology can be an assistant for teaching rather than a hindrance. Many teacher may feel hindered by it at first but as they get to use it more it can become a part of their teaching style.
I found chapter 7 very informative. I prefer using as much technology when it comes to math. This being I struggle with it and I can depend on it to do what I need to do. In the classroom I think that it should be used to some point. Over using technology only teaches the students to depend on technology like I do.
Chapter 7 was all about technology in math today, which is really weird because my mentor teacher and I just were talking about this. In class the kids have been practicing mean, median and mode. After a couple lessons she wanted them to create their own data and use it so we did some Wii Bowling! It was a lot of fun and kids loved it. She had a room set up that had 8 TVs with Wiis hooked up. Each tv had 2-4 students and they each had to do four rounds of bowling. It took the whole hour but they use the information in so many ways, comparing with other table members, tables comparing as a whole. It was really good practice and they understand where the date came from and how it was all applied. Technology can be a great thing if used right. The book mentions this software to do geometry that I really liked. Of course we have our smart boards and access to the internet so the programs and games are unlimited to us. I mention geometry because I hated this subject. I would get so lost trying to look back and forth between pages as our teacher talked about this shape and this shape. I never did learn them all. With technology comes challenges like all other classes that use it, you must be able to provide it to all students. For instance some of the kids didn’t get their 4 games of bowling in so that was homework. Most students have WIIs at home so no big deal but there were a couple that didn’t. Fortunately their library has a Wii set up for those kids that don’t.
In response to Carrie H,
I totally agree that technology shouldn’t be looked upon as one more thing they have to integrate into their lesson plans but make it the lesson itself. The only problem I see with this is the fact that there are many older generation teachers who stress out thinking about technology. It’s not a natural function for them and they sometimes really resist this tool. I think it’s great that your school has accepted it so well. As I look back on my grade school they really didn’t use technology to better their lessons but it was a privileged item we were able to play on if we got everything done. I do appreciate that they did begin us typing as soon as possible. We had typing at least once a day and I haven’t seen that in many grade schools today. I know most probably just think kids already know how to type but if you watch many do it incorrectly.
Technology is very useful in the classroom. I do not think that there is any limit to how much it is used but I think it can be overused. In my internship class I am in, my cooperative teacher has a smartboard that she never uses. She said she does not enjoy using it but other teachers use it everyday. I think that the district can save money by placing items like the smartboard in some classrooms but not every classroom. Technology reaches students where instructing or tutoring cannot reach. It is a great tool to use and students need to be taught how to use it as technology advances daily.
I do not know you or anything but I do not think that we can depend on technology. Technology is a source where you learn best. I think that you are correct in saying there is a limit to technology because students do also need to be taught to write and write without spell check. Technology is a great learning tool and it needs to be used in the classroom as technology is advancing more and more everyday and these students will be using it possibly as they get older.
Chapter 7 was all about using technology and manipulatives. I think that using technology in the classroom is great because technology is becoming more and more commonly used by the younger children by the time they are grown up who knows how much technology will be used. Probably for everything, even more than it is now! My mentor teacher uses the ELMO everyday in class to show students assignments and help them when they work on a problem together. I haven't seen calculators being used in the classroom yet but I think that they should be used for a variety of things. I do believe that students should try and learn their basic math facts without a calculator if they are able to, but calculators will be used later in life so I think that students should be able to use them for some assignments. Technology can be a great tool to bring into the classroom!
I really like what you said about the calculator on your phone is used much more often than the scratch paper and pen you have in your purse. This is so true! I think students should know their basic math facts as well, but we use a calculator everyday, think about how that is going to be in ten to fifteen years! Technology isn't going to slow down and the more students use it the better they will be, so I think they should use it in the classroom.
Chapter 7 talks about using technology to teach mathematics. After going to the math conference, I feel like I am more knowledgeable in this topic as there was a session or two that talked about this. Not to deviate from the topic at hand, but in one of the sessions we learned how to make a SMARTboard form a wii remote and how to make your own light pen that goes with it. This is extremely helpful when it comes to budgets especially since SMARTboards are costly. Anyways, using graphic calculators helps students visualize what they are computing and can allow them to relate the data to real world situations. Students can go online and find resources that relate to math such as specific activities. Other technologies include podcasts, wikis, web logs and digital gaming.
Technology is so important these days that we need to incorporate it whenever we can. I think that technology will only get more advanced and will be the only thing the younger generation will know. I have never used ELMO but would like to see how it works as I have heard good things about it.
I liked the way the chapter began and gave a little bit of insight into what the term Pedagogical content knowledge is. I have heard the term and read about it but for some reason the way this author defined the term has given me an "AHA" moment:). He says "it is a body of information possessed by teachers that the average person, even one strong in mathematics, would not likely know. PCK is the specific strategies and approaches that teachers use to deliver mathematical content to students." I think the use of calculators is a great idea but it is still our job to teach the students "why" they get the answer they get when doing things like simple math. The book says one activity to do is to let the students practice multiples of 7, but we must teach them that when multiplying they are taking 7 objects of something in 3 or 4 or so on different groups so they can see what the term multiply means. This is getting them to think about the concept in a deeper way so that they can retain the information and not just memorize math facts.
I think that it is sad that your mentor teacher has that wonderful technology and does not use it. I think a lot of times adults are like children and if something is new and unfamiliar to them they say they don't enjoy it when really they just don't know enough about it to enjoy it. I think if she were willing to use it even though she is uncomfortable with it than that would be a good role model to the students that we all have to learn new concepts no matter the age and it can be very rewarding when we do.
Wow what an inventive mentor teacher you have! That sounds like a classroom I want to be in:). How did she manage to get all the Wii's? Did they belong to the district or did she have several friends bring them in? Sounds like a lot of initial work and setup but it paid off. That is the kind of lessons I want to do. She gave the students something to connect the information to and made them think deeper than if they were just doing worksheets. Those students will probably remember what Mean, Median, and Mode means for the rest of their lives.
I have mixed feelings about all of the use of technology in the classroom. I understand the use of calculators because we do need to know how to use them. On the other hand, when we have access to them it is easy to punch in number to get the answer and not ever learn how to solve for the answer. I definitely think there is a need for technology in the class because it can make it fun for the students. We all know that Math tends to be a subject we all have anxiety over! By having these different technologies we are able to take these and expand in so many ways! I think we still have to be taught the old way of learning with all of the basics but I will completely agree that technology in the classroom has great benefits with it!
I am so bummed I didn't make it to the Math conference. I think that would have been awesome to learn how to make a Smartboard from a Wii remote! I bet it was a blast seeing all of the new things when integrating technology! It is so crazy all of the things our young children have access to. I would have loved to have had anything like this back when I was in school. I can remember the only technology we had was on the computer and it was a game called falling Math facts. Wow! We have come a long way!
Personally, I am a full supporter of technology use in mathematics, and in any subject. I see no problem with students using a calculator when needed. Many people say that using a calculator causes student to become too dependent and not do any mental math. This is the reason that children should be taught basic computation before being introduced to the calculator. Once students can add, subtract, multiply, and divide on their own, they should be allowed to have a calculator. My question is, why not use the technology we have? We use computers for spell check when writing, we use the Internet to look up facts about history, current events, scientific findings, etc., so why not use a calculator to do math? There are other technologies besides calculators that are great to use in mathematics instruction as well. There are many computer programs and games that can help students learn as well as provide motivation for learning. I think technology is very useful and should be used to learn mathematics whenever possible.
I went to the math conference, but did not attend the session you talked about. After hearing what you learned, I'm really wishing I had. I would really like to hear this information, please share!
As for using a calculator, or any other technology for that matter, I don't have a major issue with it and am in full support of using them. My only problem is that I see more and more students becoming completely dependent on them because they don't want to learn the basic skills. What they don't realize is that if they don't understand the basic skills then they will never fully be able to take advantage of the calculator because they won't know why they are doing what they are doing. I have a great example of somebody being to dependent on a calculator. When I was in Jr. High, if memory serves me right, my grandma went to one of the local produce stores and was at the check out counter and the lady was putting the price of everything in her calculator and trying to figure the change to give my grandma back. My grandma had already figured it out because it was such basic math, I don't remember what the price of everything was or how much change was due back, but the lady wasn't coming up with the right amount. My grandma told her this and the check out lady just thought there was no reason the calculator could be wrong but went with what my grandma was saying anyway. My grandma had me do the math in my head when she told me the story and I came to the same answer as her. So if you don't know how to use the basics for solving a problem then using a calculator isn't going to do you any good EVER as far as I am concerned.
Dina I am with you. I have mixed fillings about using technology and calculators in the classroom also. Maybe it's just because I've always been partial to the "old school" ways and prefer to see everything right in front of me. I know in math though that, unless I need to solve the problem slightly quick, I prefer to work the problem out by writing it down so that I can see the entire process of finding the answer right in front of me. But a lot of the times I will use a calculator to help me solve the different parts of the equation so that I can write it down so I take advantage of both ways at the same time.
This chapter discusses the use of technology in mathematics instruction. The first issue addressed, the use of the calculator, showed a huge change from the way things were when I was in school. Teachers actually referred to using the calculator as “cheating” when I was young. Everything was to be done in your head or on paper. Now, calculators are actually put on the required materials list when beginning the school year. I completely agree that if the basis of the math concept being learned is not changed by using a calculator, students should be able to use them. In a real life situation, adults will grab a calculator to speed up the process of figuring out “how much is needed, how much will be spent, etc.” The overall problem deals with something other than just adding, subtracting, multiplying, or dividing, so why not allow our students to move on to the more difficult task at hand by speeding up concepts they already understand. However, the calculator should not be used to replace basic math instruction. Students need to understand the basics before short-cuts are incorporated. It is important, too, to understand each of our students and their abilities. I am almost embarrassed to say that it had never really occurred to me that some children may actually not be able to memorize math facts. In a situation like this, a calculator would provide an excellent accommodation strategy for these special needs students. In regard to using the computer, I completely agree that it is a wonderful tool!!! For instance, in using the base 10 blocks in school, the children end up focusing more on using them as building blocks than they do for the actual learning activity. Using the computer, in this case, would actually be more affective, in my opinion. I was so disappointed that the link in the book regarding base ten blocks did not work, but I did find the following link (http://learningbox.com/Base10/BaseTen.html) that had a cute game that might help. I think the one described on page 115 would have been much better, though. :-( A resource that I have been debating on subscribing to for years is www.ixl.com. I think this site is wonderful, but it only allows a small amount of daily practice before requiring the membership fee of about $90. I think that speaking to children in “the language they understand” really helps children to understand, so the cost would be worth it! I just need to bite the bullet and do it!
In response to Andrew D...I really agree that being able to use online programs for concepts such as geometry would really help students. I am finding in the classroom where I am a Para, students often "play" with the manipulatives, rather than use them to learn. There are the few that focus on the task of learning, but in this school, the majority find the temptation to play too great to handle. They all have access to a portable computer lab, so using the internet for teaching math is ideal.
I too see the SmartBoard being used a lot-and like it! The students seem to love it as well. Also, I feel overall, the topics mentioned in this chapter were topics I have been introduced to and at least had some idea about.
I think incorporating technology into the classroom is not only beneficial, but necessary. Technology allows for all students to learn in a different way, while having fun. Technology is the future and with so many careers expanding on technology, it's our job to introduce the topic to our students NOW. I personally am a visual learner, and using technology allows me to see what is going on. IT can be used individually or in a group or classroom. I think that technology can be sop versatile.
So, I must be honest; this chapter didn’t find me as enthusiastic as the others. I must be reflective and say that technology when used in math classes give me flashes to a calculus class that was not fondly remembered- so that is probably why I was not thrilled to read this one. However, despite my hesitation to read this seventh chapter there was some very good information in it.
ReplyDeleteI like that this chapter delineates when it is acceptable to use the calculator and when the calculators should be spared. To me, this issue is more often than not left up to the teacher’s particular policy- which in my experience has normally been one of no calculators. I especially like that they focused on doing time consuming calculations with the use of the calculator- it makes sense. Rather than bore your students to tears, let them accelerate through a problem using the calculator for large tedious calculations.
I also like that they mentioned specifically that the input into the calculator must be correct in order to gain a correct answer. In other words, students must first understand what is required in the problem before they can use the calculator to solve it. I think this is something that many people overlook- believing that a calculator ‘does it all’ for a student.
I believe that this chapter has helped me to see the benefits of utilizing a variety of technologies within my classroom. Like practically everyone has stated, you can’t teach all students the same way. Why would I not allow the opportunity to reach more students on a level that is very familiar to them? I found they suggestions in this chapter to be applicable and useful in order to make the combination of math and technology effective and fun for students.
The first thing that comes to my mind when using technology to teach math is the calculator. This is the first thing discussed in this chapter and the first thing most students use as a resource in math class. The demonstration Dr. Stramel did in class with the calculators/ pen & paper/ and mental math strategies, I was surprised that calculators were not the fastest method every time. When I bought my first graphing calculator I was amazed to find out all the things that it did. I called it "my little computer." What a great resource for those individuals in upper level math classes.
ReplyDeleteI will be teaching in an elementary school setting and hopefully in a 1st or 2nd grade, therefore graphing calculators are not going to be in my vocabulary but I do hope to use other technology while teaching math. In the school I currently work in we have Smartboards in each classroom. This is a wonderful way to use the interactive tools to enable students to move the pieces of a worksheet or manipulate objects to view all the sides. The possibilities are endless and I can see the lightbulb moments happening as they tough the screen and figure out different ways to solve problems.
I was happy to see the text talk about digital gaming. I will be happy to use this type of technology in my future classroom to enhance the learning of high and low students alike. This type of technology is said to be the way our society is going and I will be on board wit the teaching. Many times these games can translate into the classroom without the student even realizing they are doing work. Games can be created by teachers on websites like quia.com. Although this was a short chapter the information may be one of the most valuable pieces we learn this semester in this class. Student learn through technology and the more we use it the more they will learn.
Comment for Adrianne Hoefler:
ReplyDeleteO Adrianne, I wish you had not had a bad experience with technology in math class. As you stated, each child learns differently. Using technology in math instruction is a way to get students to think out of the box. Technology can also be useful when creating games for students to play. I used a Powerpoint jeopardy game as a way to give a formative test to 2nd graders. This type of assessment was informal and I was able to capture the students attention with the interactive pieces of the presentation.
Chapter seven of the textbook “Elementary and Middle School Mathematics: Teaching Developmentally (2010) by J.A. Van De Walle, K.S. Karp and J.M. Bay-Williams talked about all the different technologies that can used in mathematics and the different advantages and disadvantages they may have. After reading this chapter I discover pieces of information that was very interesting and made me think of matters differently and made me reevaluate my own views.
ReplyDeleteSomething that I learned in chapter seven of the Van De Walle et al. text book was that according to the textbook “Research results reveal that students who frequently use calculators have better attitudes toward the subject of mathematics” (Van De Walle et al.,113). This is a statement that I was not aware of before but does make sense because the calculator gives the student a feeling of confidence.
Something that I learned in chapter seven of the text book that made me think differently was when the textbook states that “Based on efficiency and effectiveness, the student should learn when to use mental mathematics, when to use estimation, when to tackle a problem with paper and pencil, and when to use a calculator” (Van De Walle et al.,112). I have always thought that students rely too much on the calculator and on the internet but that is what they will be using in the future I agree that students should be taught what technology is appropriate for different circumstances. Van De Walle et al. textbook goes on to state that “Help families understand that calculator use will in no way prevent children from learning rigorous mathematics: in fact, calculators used thoughtfully and meaningfully can enhance the learning of mathematics” (Van De Walle et al.,112). Just because the student is using a calculator doesn’t mean that they are not understanding the problem and not using mental math as well.
I liked how the textbook mentioned many different websites and programs that teachers can have student explore. I have been in different classrooms where these different websites are used and I think they are a positive technology to use in the classroom. One of my favorite websites is “CoolMath4kids.com” this website seems to be fun and exciting for students which actually makes math enjoyable. Also having those different programs where you can interact with different manipulatives is very useful because there is less time getting the materials ready and more time engaging in the subject.
Something in the text that I want to point out that is very important is the section of the text that talks about “Guidelines for Selecting and Using Software” (Van De Walle et al.,119). Teachers cannot just use any software or website they want at any time they have to really think about they are giving the students.
References:
Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2010). Elementary and middle school mathematics: Teaching developmentally (7 th ed.). Boston: Allyn & Bacon.
Jennifer Pen reply to Jena,
ReplyDeleteI defiantly agree with you calculators are the first thing that come to my mind as well. In a way I do not like it when students use calculators because they become dependent on them. Just like the the instructor demonstrated during class sometimes they are not faster and students need to understand that they do not always need one. I think it is more of a security thing then they actually need one.
I also like they idea of playing games on the computer as well. I think that this will make it fun for students. I have made games on different websites for other classes that I have taken and I think that do work really well in the classroom.
When reading Chapter 7 over using technology to teach mathematics there were many different areas that I was able to consider throughout the chapter. I liked the sections that talked about the uses of calculators as well as the different benefits that come as a result of using calculators in the classroom. I loved the part of the chapter that talked about how a student should know the right time to use mental math, estimation, paper and pencil and calculator. This is a really important concept for a student to grasp and is an essential strategy to use when going about solving a math problem.
ReplyDeleteI thought that the section dealing with guidelines for using software was very helpful to me as a future educator. I now know the different steps I need to take now in order to select the best software available for my classroom and my particular groups of students in my class. The software that might work for one 2nd grade classroom may be totally wrong for another 2nd grade classroom you need to look at the students’ individuals needs. Lastly table 7.1 was helpful because it told me how to evaluate web resources. This is a table that I can refer back to in order to check the web resources that I find to use in my future classroom.
In response to Adrianne H.
ReplyDeleteI also liked that the book explained when it is appropriate to use a calculator and when it is not. I feel that sometimes students rely too heavily on calculators and don’t use mental math or paper and pencil when they easily can. I liked the fact about making sure that everything is put into the calculator correctly in order to get a correct response. It sounds like an obvious fact but sometimes students don’t realize that they are entering the problem into the calculator wrong and then can’t figure out what they are doing wrong. Lastly I also found this chapter to be very beneficial to me and allowed me to see the way that technology can be used to teach mathematics.
Chapter 7 was on how teachers can incorporate technology into mathematics. Obviously, the first technology that comes to mind is a calculator. When I went to school, we weren’t allowed to use them until we got into Jr. High. I can see why the teachers didn’t let us use them, but I don’t agree with them. In my Educational Psychology textbook, the author presents these two views; whether or not calculators should be used. I think that they should be used because I believe that they benefit learning. We are far from the days of pencil and paper, and technology is readily available.
ReplyDeleteI thought that the section on drawing tools. I know that there are programs that can draw 3-D shapes. I can’t help but think that these would help a student in Geometry. Being able to see all the sides of the shape could flip a switch on in their minds that help them solve the problem. I believe that we should be embracing technology in the classroom, and especially in mathematics. As I said earlier, the world has changed drastically within the last 20 years. We as teachers need to realize this, and incorporate it into our lessons.
In response to Jena-
ReplyDeleteI like that you brought up digital gaming. I think that this method could be used in the classroom. I think we all remember using the program “Math Blasters” in elementary school. This was one form of early gaming that helped students. I think that the gaming industry needs to gear more of their products toward fun, educational programs. If there was a quality program that would benefit the students in my classroom, I would be more than happy to let it in.
In response to Jena S,
ReplyDeleteYou are fortunate to have access to Smartboards in your internship setting. I am in a very financially stressed district, and I have thought to myself how much better the instruction could be if the students had access to technology like this. Even manipulatives are scarce, and I know that some of my students would have their own lightbulb moments if they could just have another way to 'look' at the concept. I also like that you mentioned digital gaming, I think this is a wonderful, often under used, asset to all of us. Thanks for your thoughts!
Chapter seven reminded me so much of my internship this week. The first graders started using calculators. They had a total of five numbers and had to use a calculator to add them up. They all were excited, of course. They loved using them. I think every single one had typed their phone number as soon as they received the calculator. When the teacher told me they were going to be using calculators I was shocked. When I was in elementary school we never used calculators until the fourth grade. Even then we hardly had the chance to use them. I liked the information the book had on calculators. I do think they are a great tool to use during math, but I really think they should go through the basics steps of addition before handed one. I mean, what will they do now? I can just see them being lazy and saying “I will just use a calculator.”
ReplyDeleteIn response to Brooke: I thought the computer activities mentioned were great. Children love to use the computer and most of them know a lot more about it then I do. I thought the Isometric Drawing Tool was really cool. I think it is important to incorporate different content like that instead of those constant computer math games, you know? Get the student to interact with the game. Make them draw a shape using the mouse or touch pad. It will develop different motor skills.
ReplyDeleteIn response to DeidreJ
ReplyDeleteCalculators are a useful tool that children should learn how and when to use at a young age. You make a good point in regards to when, when is the hard one to learn. Will students want to use them all the time, certainly. Calculators available in any classroom must be carefully monitored to use when they should not be used. Most school provide calculators so the teacher can put them up when the students should not be using them, maybe even lock them up
Technology, in math that does mean more then calculators, but calculators are what first comes to mind. As I read this chapter I came to understand more about how far technology has come since I was a student. Technology is one area that really tests every teachers willingness to change they way they do things in the classroom. While the development speed of computers and computer software has slowed down it is still fast. at times in the past 20 years it has been suggested that a computer is out of date by the time you have a chance to buy it and get it set up in your home.
ReplyDeleteTechnology changes quickly, we as teachers have to deal with that. While teachers should not bring every little thing that his that market and quickly goes away into the classroom we should be early adopters of the things that last.
This chapter does a good job of discussing the basic issues of technology and its use in relation to the math classroom, but it is only the beginning of what is out there waiting for us.
I like this chapter, but I understand that technology changes quickly and costs a lot of money. As teacher we must understand that our students will use technology their whole life, we need to teach them how to use it and when to use it to the best of our ability.
Chapter 7 is based on using technology to teach math. Technology is so important to incorporate into every subject, math included. Students get so bored if you are just using the whiteboard to teach. Some examples of technology are desktop and laptop computers, handheld devices, collaborative authoring tools, computer algebra systems, online digital games, podcasts, spreadsheets, and many others.
ReplyDeleteCalculators are also an important tool to have in the classroom. But I believe there is a fine line of when to use them and when not to. I think that it is perfectly fine for students to use calculators during a math lesson, as long as they know the information in their head first. I think that teachers need to switch it up so that students aren't always using a calculator though. When students are allowed to use a calculator (no matter what grade level) on every problem, they will slowly start forgetting even the most basic skills.
I think that my favorite thing for students to be able to do on the computers is use software to learn or practice math through gaming. I think that students learn best when they don't even know that they are actually learning. There are so many software games out there that make math practice fun!
Deidre J- I totally agree with you. Calculators are a useful tool and students should be taught how to use them. But there is a fine line. Students need to know the basic math skills first. They need to be able to do them on paper or in their head and then learn how to do them on the calculator. That's just my opinion.
ReplyDeleteGetting used to using calculators in the school is going to be a problem for me. I guess it’s a stigma for me to change. I enjoyed reading that calculators can be used for drills. I wouldn’t have thought that calculators could improve attitudes and motivation. As a special education para, I can see how letting the students use a calculator for basic solving to help enable them to answer more difficult problems in a timely manner. I can see how important it is to teach them how to use calculator properly and have practice using them on a regular basis. I had no idea of applets. These are great! I went and played hiding ladybug and making rectangles. I think the guidelines for using software. I like the idea of going to a good site to hopefully find other good sites; such as “myeducationlab.com.” I also think it’s great to make a list of all the web sites that you like to use and share them with each other. I had not thought about checking a web site for authority, content, objectivity, accuracy, currency, and audience. Digital I’m still getting used to; Wikis, Web Logs, and Blogs. I’m glad were experiencing Blogs for this class, I had never used them before.
ReplyDeleteI agree with Jeremiah G. technology is expensive and constantly changing but it really does benefit us in teaching our children. From Elmo's that help us allow children to see what we are working on better, calculators to aid us in our lessons, or the fast and unending supply of ideas that are on the web to make learning fun for our children. It all helps us to reach our children and keep them engaged.We can make teaching rewarding for both us and our students, while making it connect to their lives and futures.
ReplyDeleteI sometimes feel overwhelmed with all of the technology that is found in a classroom today. I still haven’t gotten used to the SmartBoards that are in just about every classroom today. However, this technology thing won’t disappear. Even in two years or so when I have my own classroom, I’m sure there will be tons of new things to learn to use.
ReplyDeleteWhen it comes to math specifically I always tend to think calculators are as far as technology goes. The text (and witnessing things in my internship) has proven this to be wrong. However, I do have a problem with calculators. I think too often we rely completely on calculators, and in now way is this helping the students learn. I actually just took a statistics class a few semesters ago and the professor told the class that she could teach us to do the calculations by hand but it would take too long and we’ll never use long hand calculations. WHAT?! I paid money to take this class, and you’re going to only teach me how to put things in my calculator? Granted it was a group of college students, but I’d hate for any teacher to be this way with a group of elementary students.
I think bringing technology into a classroom benefits all students. It’s something new and exciting, and given most of these kids have been around technology (like computers) it is what they are used to. It can make learning memorable, especially if the students have an interest in technology.
@ Tammy M
ReplyDeleteI never would have thought about teaching the students how to properly use a calculator prior to reading and watching the lecture that corresponded to Chapter 7. Typically in elementary schools there are classroom sets of calculators for the students to use. If they do not properly use them or take care of them they might not have calculators to use in the future. Good thing graphing calculators aren’t used in elementary school… I could only imagine the headache that would cause for educators.
Even today I don’t typically thing about authority, content, objectivity, accuracy, currency, or audience (unless I’m doing a research paper). This is something I really need to keep in mind. I also agree with the technology / digital things. I think they have a lot to offer, but it can be quite confusing to get used to.
I found this chapter about using technology to teach mathematics very informative and it gave some great ways to implement it in the classroom. One of the quotes that I really liked stated, “Using calculators thoughtfully and meaningfully can enhance the learning of mathematics,” and I think the key words to take away from that are thoughtfully and meaningfully. Instead of only having calculators be used to avoid actually thinking through a problem, they should be used in a way that enhances the thought process. When students are not trying to compute, using a calculator can be helpful, such as looking for a pattern. I found the section about the automatic-constant feature very interesting and I honestly can’t remember if we were taught how to use that and if so, I don’t think it was really encouraged. I think it’s a great way for students to practice counting by twos, tens, etc. and it’s an easy way for them to be able to self-check. Students will be expected to know how to use a calculator as they get into high level mathematics classes as well as in society, so teaching them these calculator skills at an early age can be beneficial.
ReplyDeleteThe capabilities of graphing calculators are endless and can be very helpful to students. They include many different programs and are able to calculate large formulas. If students are able to understand how to do these processes without a calculator, I believe that using it will only help enhance their understanding. Students can generate two-dimensional representations using graphs and plot points and using a calculator for these operations makes these tasks much more user-friendly. I didn’t know that there was a special Texas Instruments motion detector and it sounds awesome. It can be used to help students calculate rate, inclines, distance and many other things.
The chapter also gave some great resources for finding online manipulatives that help students have a visual of the mathematics concepts. There are endless resources on the Internet that can be used to practice geometry concepts, formulas, graphing and using virtual manipulatives. These programs can also be very beneficial for students that have special needs or ELLs by providing additional audio and speech enhancements. There are also computer programs that emphasis drill that can be helpful to students and they can also be customized depending on their needs. With all of the available software and programs out there, teachers need to be sure that it’s appropriate for the needs of their students. Some programs may boast of awesome graphics and colors, but if the content isn’t up to par, it’s not worth the money. I enjoyed many of the strategies and programs that were presented in this chapter and I can’t wait to try them out in my future classroom.
In response to Andrew Dempewolf:
ReplyDeleteI thought your post about how we are in the age of technology was very insightful and true. We are at the point where we can do mathematics using a variety of materials, manipulatives and technology and our teaching practices need to reflect that. It’s like the question that Dr. Stramel asked in class: Can teachers be effective if they don’t know how to use the Internet? I honestly don’t think so and believe their students will be missing out on some valuable lessons if technology is not emphasized in the classroom. I think that if I had access to 3-D models during geometry class, I might have been able to visualize the shapes much better.
Chapter 7 is about using technology to teach mathematics. The text states that technology can be used as a tool to teach and learn mathematics. Obviously, the first thing that comes to mind with technology and mathematics is calculators. I know I rely way too heavily on calculators, and this can be the downside of technology. I am not confident in even the simplest math problems because I stopped using these skills a long time ago and use a calculator for everything. I know students need to learn to use a calculator, but they need to have the basic skills first. The text actually discussed many benefits for using calculators. The text also discusses how computers can be used for mathematics instruction. There is software available and I have also seen websites where students can get on there, maybe for an enrichment activity, and work different problems. One thing that I think will be really useful in the future is the sections on guidelines for using software and how to select software. This will help teachers, like myself, find appropriate software for math instruction.
ReplyDeleteIn response to Kristle,
ReplyDeleteI agree that using technology in math can help get the students excited about it. Teachers need to switch things up and can't just stick to the same old things they do every day. I also agree that there is a fine line with the use of calculators. Students need to have a basic knowledge of math skills and continue to use them with and without calculators. If they only use calculators they will come to rely too heavily on them and forget what it is like to actually work a problem.
I was going to talk about calculators because I just found out (prior to reading about it in the text) the benefits of allowing a student to use them. BUUUUUUtttttt...just about everyone saw the same as me.
ReplyDeleteVan De Walle (who also did an Anatomy and Physiology book, by the way) talks about working online in his "Drill and Reinforcement" section. The kids at school were just in a competition using SUMDOG.com to earn cash and prizes. Moscow won, I believe. The kids get on and they play math games. They loved it and it really increases their speed of calculations because they play against other kids in other schools who are playing the same time. It was great!
I work with a 12 year old whose math level is 2nd grade but he has learned so much in just doing this program! I used to take him out of the class, but now we stay in the classroom and he proudly works very hard to learn his class level.
I never understood the benefits of online gaming but it truly has benefits!
In this chapter right away we start talking about calculators. Many teachers have different views on letting student use them in math. I really like all the benefits of calculators that the book brought to our attention. The section that stuck out most to me was “calculators can improve attitudes and motivation.” In the chapter is said that student should know when to use mental math, calculator, paper and pencil. I found this very interesting because just like Dr. Stramel had us is groups doing this same thing, it isn't always fast to grab the calculator. Each student learns different ways so we as future teachers need to accommodate to them.
ReplyDeleteEmily M,
ReplyDeleteI understand how you feel about the use of calculators in the classroom, however, the first time I was told "They will never use the hand calculating" I thought "You're right!" Then I went on and said "But they need to understand the how, if they are to understand the answer.
Then I began learning the benefits of the calculator and how by using a calculator they actually pick up the methods. Grant it, it is a slow process, but they do!
Interesting isn't it.
Excellent post by the way.I like the fact that you took the underdog side and were not afraid to express your feelings about it.
To Linda McC:
ReplyDeleteThis program sounds amazing! I have never heard of it before. I think that students are very competitive and having them play against other people is great because they want to win, and therefor they are doing math and not even realizing it. I agree with you that online gaming really does have its benefits. Like Dr. Stramel has pointed out students learn many different ways.
Tammy M
ReplyDeleteI am not only reading, but seeing the benefits of technology with students. For one it aids in the teaching and second the students love it. It's cool, it's up to date, it's not boring! Kids would much rather play on the computer than sit with a pencil and paper using their mind! (did I sneak that dig in?) Personally, I think they need to learn the process and allow technology to take over when they get older, but I am seeing that is not the consensus of the majority.
It is exciting though, to see how much the kids learn and how excited they are to do math if they get to use the computer.
I think I wore my highlighter out in this chapter. First, I learned what was considered technology in mathematics. Then the section about the debate on the use of calculators in the classroom was very informative. I like how the book gave both the pros and the cons of the research. This section really made me think about what I believed and gave me a different insight on it. The activity they used with Goodnight Moon sounds like a wonderful way to get younger children engaged in counting and listening at the same time. The section on computers in mathematics gave me a lot of new ideas to use in the classroom. One of the many programs that caught my eye was the Base Ten Block Applet by arcytech.org. What a great way to for the students to practice using base ten. I would probably first demonstrate it to the whole class on the big screen then use it as a center during choice time for math once a week. I also liked what the book said about Thinkport programs. Kids today need more skills in problem solving and this program offers stories in a real context setting. The book also gives suggestions and tips on how to select computer programs. The last technology I feel I could use in my classroom would be a podcast. I think it would be great to record me teaching new concepts and put it on the class website for my students to review as needed at home. Being an online student has made me very aware of how valuable technology can be in the classroom and how much our students need to be familiar with what is out there. Yes, it may be more time consuming, but I hope to be able to use technology on a regular basis in my lesson plans.
ReplyDeleteIn response to Linda McC.,
ReplyDeleteI have never heard of that game, but I am looking forward to trying it out after this blog. It would be an excellent tool to use in the special education room. The kids love to play on the computer, but they have to earn computer time and it has to be an educational game. This would be so much fun for them because many of the kids are very competitive and they would enjoy playing against students from other places. Thank you for your comment! I have something new for the kids, how exciting!
While I did not find this chapter as interesting as some of the others we have read, there was a lot of information pertaining to the use of technology in the classroom. I used to think the use of calculators in the classroom defeated the purpose of teaching math but then I began working in a classroom and saw how the calculators were actually used. Just as it states in our text while a student should not use a calculator to do basic computations, the calculator can be used to perform more in-depth calculations in relation to more strategic math problems such as exponents, square roots, graphing, and numerous other math problems. When teaching students geometry there are also good computer programs that can be used to teach the concepts but I feel teachers must always remember that many students need to have the visual hands-on manipulatives to experience the concept in a real life situation. The students need to be able to feel and see the 3D models. Spreadsheets are an important concept for students to learn on the computer. It was interesting to go to some of the websites this chapter provided and I will have to remember these when I am in my own classroom.
ReplyDeleteLacey Keller
ReplyDeleteThis chapter was great! I absolutely love the resources that the author provided me with!
First of all, technology enhances any lesson. Students thrive on getting to push buttons, turn knobs, etc. As teachers we can get students motivated by providing appropriate technology so that kids will love math and want to come back for more.
Okay, so I realize the calculator debate has been around for ages. My own personal experience is that I am a perfectionist and I must check my answers. It drives me nuts not knowing if my answer to a math problem has been checked and rechecked. All of my math teachers have given me ample time to use the calculator. I guess in this debate it is like the cell phone argument in school all over the nation. Kids have them, and we know they are going to use them; let just let them use them without having to be sneaky about it!
So, I wanted to share an awesome resource with you guys and gals. Check out illuminations.nctm.org Click on the "Lessons" tab, and you can bring up several lesson plans to fit your grade level and the standards. Plus the site gives extensions and assessment options. I have bookmarked this site because I know I will be using it for my unit lessons!
Lacey Keller
ReplyDeleteIn response to Angela,
Thank you for bringing up the spreadsheets idea. I remember in junior high, my teacher had a whole unit on spreadsheets. Data interpretation is a standard and what a great way to incorporate technology.
I am in science methods internship where I go to a fifth grade science room. In this class, the students are always inputting their values into a spreadsheet and graphing the results. The students are learning about science while plotting data on different kinds of graphs (bar, circle, line, etc.). Integration at it's finest!
@Brooke M.
ReplyDeleteI liked how your brought up the part about that students should know when to use mental math, paper and pencil, and calculators. “The use of calculators does not threaten the development of basic skills and that it can enhance conceptual understanding, strategic competence, and disposition toward mathematics.”
I enjoyed chapter 7, however I found it a bit hard to get in, most of it seemed a bit common sense. The first part of the chapter talked about calculators. I also think that computers have a very important role in a mathematics classroom. I think they can be used in so many ways including general instruction and practice. I also liked the part about how to select good software and how to use it appropriately. I also think there are some great resources on the internet however they have to be closely monitored because of site ads and such. All in all a good chapter with good resources.
To Lacey: I loved your post. I agree that kids love technology. In my internship they just got a Smartboard and the kids love it. It's kind of funny because they offer assistance when the teacher is having trouble with. What technology we are afraid of doesn't bother them at all.
ReplyDeleteFirst of all as reading through the posts I noticed a lot of people comment about the use of calculators. Personally, I have been anti calculator for the use of basic math. However, my opinion has changed some after what I learned in class this week. I never had thought about how punching numbers into a calculator could be used as practice for the students to learn facts. I still believe it is very important for students to learn their basic facts.
ReplyDeleteIn addition, I like how the chapter addressed the use of a calculator. I remember taking Algebra II in high school and trying to figure out how to operate my scientific calculator. I still struggle with this concept. However, I agree with the text about it helps students visualize the concept.
I think the use of computers in a math class is awesome. I work as para and just a few years ago students had to draw their images on paper for drafting. Now they have computerized program that produce three or four d images. I imagine how much fast a project can get done with this kind of technology.
My children have been able to access math sites on the computer to practice their multiplication. This has come a long way from when we used flash cards. Technology is great because it can reach all kind of learners.
To Angela R: I think for most of us we need to get past the idea of a calculator only being used for basic math. I am amazed at what a calculator can do. I think in advanced math classes a calculator is a must.
ReplyDeleteChapter 7 was very hard to keep interested in for me. Even though it wasn’t very long it had information in it that I felt was pretty much common sense. I guess I just agree with what the book is saying so I didn’t really have to think about anything very much. The facts about the importance of calculators could some day be helpful because if a school does not want kids to use calculators you could state why they are helpful. I actually grew up doing math on a computer. When I was in 6th grade we started accelerated math. This is pretty common these days, but I think kids really enjoy it. The one thing I did not enjoy about accelerated math was it was difficult to actually teach a lesson. I think it is great that every single student can go at their own pace but at the same time its hard to teach 12 lessons every day. Then there were the students who were so far ahead, their information on AR Math was much more complicated and took longer for the teacher to explain. It seemed that this kind of math did not benefit every child just the flourishing ones. Using the computer to actually teach math is a great idea. I had some children in summer school this year and they loved playing addition games on line. This is a great way for children to learn but also have fun in the process. I also think that Smart Boards are amazing. Smart boards are interactive and technology based. How amazing is that?
ReplyDeleteIn Response to Angela R.
ReplyDeleteI love the statement you made about keeping manipulatives in the classroom. I think that that is very important. Children do need the hands on feeling of the manipulative to actually grasp the concepts sometimes. There are children that probably learn better by computer and others that don't. That is why it is important to keep an open mind in your classroom and be very adaptable.
@ Jena Simms
ReplyDeleteI agree the information in this chapter is so helpful and will be a good resource to come back to. Technology and gaming in the classroom is so important because it is in our students lives daily, so it only makes sense for us to try to incorporate it into our lessons. I completely agree about the gaming aspect, so many of our students are gamers so this is a fantastic option to have to integrate technology into our classroom.
Chapter 7 was all about incorporating technology into the classroom and using manipulatives. I found this chapter to be very informative and interesting because technology is only going to get more complex so I believe all teachers should know as much as they can about technology in the classrooms. I really enjoyed our discussion about to use or not to use calculators, we had this discussion in class and I watched my adobe connect. It is interesting to me to hear everyone's opinions on rather calculators should be used in the classroom or not. I used to be very old fashion and agreed that they shouldn't be used on test, etc. but now as I get older and see the technology increasing I am all for using calculators on tough lessons. I also really enjoyed the section on the benefits of calculator use because I agree with each benefit. When I have a classroom of my own I play to use as much technology as I can and get my students prepared for the real world of technology. I believe technology can be a great resource used for teaching, you just have to know how to use it.
ReplyDeleteIn response to Angela R--I also completely agree with you when you stated that manipulatives should be kept in the classroom. Since I do work at a school, I do know there are so many useful manipulatives that can be used with many different lessons. I believe most students even enjoy using manipulatives because it makes learning active. You made some very great points in your post, thanks for sharing!
ReplyDeleteI really enjoyed this chapter on technology. I liked reading about the different types of technology that you can integrate into your math lessons. In my internship my mentor teacher uses her smart board all the time. She has recently started showing me how to use it and it is a great way to teach the kids the lesson and still be able to walk around the room. I love it! I think that I will always use technology to teach math.
ReplyDeleteIn response to Amanda-
I agree. I didn't feel like there was anything in the chapter that I didn't already know.
When I think of technology in the classroom, calculators are not what I tend to think of first. I recently read something that said, its only technology if it was created after you were born. I thought that kind of an interesting statement or a controversial one at least. I think I would have to disagree with that statement, because that would mean that technology would be different for everyone and I believe that technology is just that…technology. This topic is something that really intrigues me. I agree with the part of this chapter that basically states there is a time and place for the use of calculators in the classroom and they do present a value. What really get me excited about technology is our emerging technologies. I have already been involved in many classes that are using blogs, web based documents centers, chat rooms, skype, wikis, and podcast. All of these types of resources have made it possible for many of us to earn our education in a more untraditional way. With tablets, software, and cell phones growing in their strength I believe the sky is most definitely the limit for the possibilities within our own classroom. I can’t wait to use technology as much as possible. I believe that it is something that can help engage the students not matter what subject is being taught.
ReplyDeleteI am probably one of the many that supports technology in mathematics. I feel that calculators are very beneficial for students. I don't think they should be used until they get a grasp of the basic skills though. If they know how to get to the answer, then the calculator will just help them get to the answer quicker. As students get older, they will definitely want to use them more often, especially when getting into higher level algebra and geometry classes. It's very interesting to see all the different types of technology that is available for use. It is greatly beneficial to all students. Not only do they help children with the problem, but they will also have a little more fun using the technology. It's very exciting to wonder about what the future holds for technology use.
ReplyDeleteTammi,
ReplyDeleteI haven't been able to use a smart board in my internship yet. I have heard many great things about them. I do know that they are very beneficial to not only the students, but the teacher as well. But I agree with you when you said that this chapter contained a lot of information we already probably knew about. It's just kind of fun to think about what they may come up with next!
Technology has never been one of my areas of strength, so I am grateful for all of the information on educational technology I can get. I don’t remember using any kind of technology in mathematics when I was in grade school. Calculators were not allowed. We were supposed to do it in our heads or work the problems out on paper. It wasn’t until I got into high school that we could use calculators, and those were graphing calculators for Algebra. It wasn’t until reading this book and taking this class that I realized there are benefits to using calculators in the elementary classroom. I like the idea of using computer probability tools to generate coin flips or spinners. I think students would find it interesting to do these things on the computer from time to time. I am beginning to see that there are unlimited ways in which we can incorporate technology into mathematics instruction.
ReplyDeleteMatthew B., I agree with you that it is exciting to think about what new technology will be available in the future. The other day I saw a fourth grade math class using their fingers to write out their math problems on ipads and make videos of themselves talking out the process. I know I sound old for this, but I thought to myself, what will they think of next!
ReplyDeleteChapter 7 discusses the different types of technology that can be used to aid in mathematics instruction, the most basic of these, being the calculator. The use of a calculator or rather when a calculator should be allowed to be used is something that most people have an opinion about, and something many people feel strongly about. However, I think that text put it perfectly. It states that “based on efficiency and effectiveness, the student should learn when to use mental mathematics, when to use estimation, when to tackle a problem with paper and pencil, and when to use a calculator. Ignoring the potential benefits of calculators by prohibiting their use entirely can inhibit students’ learning.” I personally, was not allowed to use a calculator until I knew how to work out the problems using pencil and paper. I think this was effective, because I learned how to find the answer without relying on a calculator. I also think that sometimes exceptions need to be made for students with special needs. If using a calculator allows them to do higher level math problems, then I think the pros outweigh the cons. I also like the texts suggestion of using calculators for drills, because students can “self-check” themselves.
ReplyDeleteChapter 7 also discussed the use of computers and software in mathematics instruction. There are several ways that I could see this being particularly useful. One of these ways is through the use of probability tools. With these tools the teacher, or even the students, can design their own “controlled probability experiments.” I think this could be a really fun option for a lesson on probability and also is a great alternative to pencil and paper assignments. I also appreciated the section on how to use software. I think the text gave some good guidelines for how to introduce software, as well as balance it with other activities. Overall, I thought Chapter 7 was a good discussion on how technology can and should be used to enhance learning.
@ Elizabeth Adams
ReplyDeleteI was allowed to use calculators sooner than high school, but I wasn't allowed to use them until I knew how to work the problems out on pen and paper first. I like the example the text gave for students using the calculators for drills and self checking. I think this is a great way for calculators to be beneficial.
I was excited about this chapter because I’m all for integrating technology into the curriculum whenever possible. I’m familiar with the use of calculators and computers in mathematics but I was mostly interested in the types of instructional software discussed in this chapter. I know I’ve mentioned this in a previous post but a few students in the classroom I intern in are doing an RTI called IPASS. I would consider it a drill and response program. The students start from the beginning, Kindergarten, concepts and learn them through repetition. Once they have the new concept down pat the software then tests them on it. They must achieve a certain percent to pass the test, otherwise they go back to the concept review. I hadn’t heard of IPASS before I started interning but it got me interested in other types of mathematics software. I’ve heard good things about the Prime time math series listed in the book. What I like about it is the fact that it utilizes real-world examples. I think any concept is learned easier when students can relate it to a real life situation or experience. I do realize the need for hands on math instruction though as well but I think that it can be combined with technology instruction to reinforce concepts in a fun way.
ReplyDeleteI also enjoyed reading the short paragraph on digital gaming. I think more and more education websites are becoming focused on gaming and I can’t say that I’m against it. By no means do I think students should be on a computer constantly but I hate worksheets and whenever a game can be substituted for a worksheet assignment I’m all for it. There are so many new, fun, and exciting ways for students to learn with the internet, why not utilize it? I know there has to be a happy medium with the use of technology and verbal teaching but I think technology should be integrated as often as possible.
Elizabeth,
ReplyDeleteThere really are so many ways to integrate technology into the curriculum. I was able to utilize lots of technology as a student growing up so I had a very different experience from you. Technology allows for out of the ordinary experiences for students. Instead of the regular chalk board lesson they get to play with interactive smartboards now. Instead of the plain old worksheet they get to do interactive games instead. These are both things that are more hands on and exciting for students, and therefore more memorable as well. I hope you find the use of technology a positive integration in your future classroom!
First of all when I think of technology I think of computers mainly. It's really hard for me to realize that it's more than just computers. The book defines the use of technology in mathematics as "desktop and laptop computers, calculators, and other handheld devices, collaborative authoring tools, computer algebra systems, dynamic geometry software, online digital games, podcasts, interactive presentation devices, spreadsheets, as well as internet based resources." That to me is a lot of ways to use technology. I feel technology is a good thing, but feel it must not be over used. Children who are born today know nothing of what it was like before we had technology. All they know is how to do things using some form of technology. I think stepping away from technology a little bit can be a good things. My mentor teacher allowed her students to use any types of resources for her students first unit exam, but then after that they can't use anything that way they can prepare for CSAP. I think that is a great way to do it. Standardized tests don't allow students to use any type of resources except for pencil and paper sometimes, why not practice it in your classroom that way it's not a shocker when they can't use a calculator.
ReplyDeleteThe book mentioned how electronic or virtual manipulatives have some advantage when they are integrated into the instruction and aren't just there for fillers. Such things as qualitative differences in use, connections of symbolism, unlimited materials with easy cleanup, and accommodations for special purposes. Instructional software is out there for concept instruction, problem solving and for Drill and reinforcement. The book also talked about four considerations when it come to selecting and using software.
I love technology. In fact our entire family loves technology. However, technology is very hard on the bank account. A lot of research is needed before purchasing any type of technology. Thankfully a number of free resources are available when it comes to games and virtual manipulatives. I am grateful for the websites listed in the text that will be a valuable resources for researching technology.
ReplyDeleteThis is my first year to be in a school that has a smart board. Everyday my mentor teacher uses the smart board with her math lesson. It is a great piece of technology. However, I wish the curriculum used would be more interactive with the smart board. In the classroom the book is displayed on the screen and the students work together at the board to solve the problems. So essentially it is being used as a projector. I know that it could be used for so much more than that.
@Shawna
I'm glad that you mentioned cell phones. The week my son had an assignment to play with an adults cell phone for number recognition. We had a blast doing this assignment together. I would call out three or more numbers then he would type them in. A very simple activity that can be adapted to many degrees.
In response to Lindsay Sabala,
ReplyDeleteI agree with you and the book on the use of calculators. I feel like the students should try and figure the problem out using ever way the have learned before using the calculator. I feel children theses days rely on technology enough as it is that we can try and get them to try the old fashioned ways until they feel they can't solve the problem. I agree though that they shouldn't be denied the calculator they just need to attempt the problems without one first.
Chapter 7 was about technology in mathematics. The calculator is a widely used piece of technology. I really enjoyed the activity that Dr. Stramel had the face to face students do with the mental, pen & paper and calculator, was very interesting. There are a few different types of calculators, and many calculators are more elaborate and a lot harder to understand. The teacher needs to make sure that the students know how to use the calculator and what they can do with them. Teachers also need to make sure that the students know the right time to use it. They need to know that they are not able to use it all the time and that sometimes it is quicker to do it by mental math or paper and pencil. I feel that other sources of technology should be available for math. Many people have mentioned smart boards, and I would really enjoy using them and seeing what they can do to help students during math. The computer is another great technology tool. There are so many great websites out there that can help students learn mathematics. There are also some great resources and websites for games that can teach students their math problems. My son is in 8th grade and his teacher uses a program like Mathematics Island (I think that is what it is called), and they do problems and get practice for the types of problems that come straight out of their textbooks.
ReplyDeleteIn response to Brandi s---
ReplyDeleteOur family loves technology as well. We own a desktop, a few laptops and an iPad. We use technology for just about everything we possibly can. My husband is going to school for computer programming. I am on the internet daily for my school stuff, and also for my banking and other things that I need to worry about in life. I had my computer hard drive crash about a month or two ago and I lost everything I had on it. The most important things were my pictures and my school work, but I learned that I need to start backing up my stuff. I would be completely lost without my computer and to save my stuff because it is my life.
Carissa Kruse
ReplyDeleteChapter 7-BLOG-
Chapter 7 was all about using technology in mathematics. As technology keeps advancing there are so many different options and tools for teachers to use within their classrooms. One thing that I really found useful was the virtual geo-board. This is a great way for students to see the shapes they create on their personal boards on a larger scale and they can compare them to how their shapes can differentiate from the ones other students in the classroom create.
I also enjoy how this chapter gives a guide of how to choose software to use and different ways to use the software. There are so many different software programs that it can be difficult to know which one may be the best for what you are teaching. This goes along with Internet resources. It is important to choose a reliable and accurate resource.
I do however wish the textbook gave a bit more information as to what software or resources they would recommend.
In response to April B...
ReplyDeleteI agree that it is very important for the teachers to make sure the students know the basic functions of the calculators and how to use them. A calculator is not a good resource for students if they cannot use it correctly and get they answers they need from it.
Smart Boards are a great tool for teachers and get the students excited when they have the chance to interact with the Smart Boards.
I enjoy technology and feel that students love to use it and because of that, I really enjoyed this chapter. As one who feels really inadequate doing math without a calculator, I can understand and respect being cautious when introducing calculators to students. I feel that I was not taught very well in my fourth grade class and that since then, I have struggled with math without a calculator. I feel that it is very important to teach students how to do math without a calculator. On the contrary, I love calculators! I know that they can only do what we as the operator tell it to do. In upper level math, I feel that it is necessary to have a calculator to do math. I also feel that computer games are very helpful with learning math because students don't feel like they are working, they are doing math and enjoying it.
ReplyDeleteChapter 7 was a pretty basic chapter over the different uses of technology in a math classroom. When I think of technology, I think of a computer, but when I think of it in math I think of a calculator. My reasoning is because I was forced as a child to always pen and paper. Even if we did a problem using a calculator we still had to show some kind of work on the paper. I’m not saying I disagree with the way my teachers taught me, I am very good at math and love it. The topic on the use of calculators is so controversial. We do want our students to be able to do the basics of math without calculators but we don’t want them to spend so much time on the problem that they lose site of the actual concept that you are trying to teach. Another students pointed out that we have to prepare our students for the state test and I know ever year on the 7th grade test they have a basic 4 digit long division problem and you would be surprise how many students can’t do long division and get the right answer. Another key point is that you have to make sure students understand how to use a calculator before allowing them to use it…putting 4/48 get a completely different answer than 48/4. In conclusion I do think it is important for our students to use calculators and any other type of technology in all of their classes, because honestly think about how often you use these things in everyday life. I know for sure the calculator on my phone is used way more than the scratch paper in my purse.
ReplyDeleteIn response to Carissa K.:
ReplyDeleteI also liked the fact that the book gave suggestions for different software to use for teaching math. When I taught pre-k, I had a computer in my room called a Hatch computer. This was one of the most interesting pieces of educational technology I had seen in a classroom before. Each child had their picture on the computer, to log on, the child would touch their picture, then touch it again in a different line up to ensure that they child chose themselves. (It was touch screen). This computer tracked their progress on different subjects and different aspects of each subject including math: patterns, number recognition, rote counting, sorting, etc. When they began, it would say how well they are doing in each portion and it would inform me, as the teacher, when they were "ready for kindergarten" in that area. It would also tell me when they are struggling in an area and need one on one help! It was so interesting and a wonderful tool to have in the classroom!!
In response to Kymberly R.
ReplyDeleteI totally agree with you, the calculator is only as smart as the person operating it. I know at the beginning of the year the 7th grade math teacher goes over all the buttons on the students (new) graphing calculator so that they can properly use it. The students get so upset with her during one lesson where the first day she teaches them how to do exponents long hand and the next day she shows them the button on the calculator for it. It makes me laugh because you can see the sigh of relief that they now don’t have to do their algebraic problems without a calculator and spend hours doing it. I couldn’t imagine doing upper math without a calculator, I would spend so much time working out the problem that I would loss site of what the real concept of the assignment is.
Chapter 7 was about technology and how it can be used in teaching mathematics. The two main devices that were talked about in the chapter were calculators and computers. Technology is a great thing and it can enhance learning. As I was growing up I absolutely loved being able to use my calculator in my math courses. There were a few times when we weren't allowed to use them on certain tests and I would be upset. When I actually looked at the problems I would realize that I knew how to do them without a calculator. A lot of the time I was just too lazy too do the math in my head or with pencil and paper. I remember catching myself using my calculator for simple math like 12+13 . The only reason I used my calculator was because I was use to it. Although there are many benefits to using technology, it can also be bad when we rely on it all the time. In my high school math courses my teacher would always teach us how to solve the problems with pencil and paper before she taught us the short cuts and how to do it on our graphing calculators. I loved that because students need to understand why they are punching certain numbers on a calculator. You need to start at the bottom and build the knowledge and understanding up.
ReplyDeleteIn response to Brandi S
ReplyDeleteThey just got a smart board installed into my internship classroom about a week or two ago. The students were so eager to be able to work with it. They have been using the smart board for some of their work and the students really enjoy it. It is a great way to introduce them to technology because I do not think that they are ready to use calculator just yet. Using the smart board is a great way to help the students interact and learn together.
Chapter 7 opened up a whole new way of looking at technology in Mathematics for me. In the past, technological tools tend to be viewed as the enemy. NCTM’s take on calculators in the classroom is refreshing. I like that technology should not be an “extra” or an “add on” but that technology should be viewed as an essential tool for teaching and learning. I think this goes together with what FHSU is all about in regard to technology and laptop learning. This is also in line with what is happening in the school that I have my internship in. They are very forward thinking in regard to technology in the classroom and it is a great tool, it is not used just for the sake of technology and it is not ignored or viewed as one more thing that teachers have to incorporate. It is a tool to enable more group projects, more opportunity for the teacher to observe students’ work (since she can set it up that she can see all her students’ pages at once). I like that calculators are acknowledged as a tool that can improve attitude and motivation. Page 115 gives the web-based tool reference of arcytech.org (the whole address is listed in the text) which gives many more online resources! It is a great resource and one that I will bookmark for later reference.
ReplyDeleteRebbecca B.~
ReplyDeleteI thought you made good points about the calculator. It is important that students know how to use a calculator and the technology at their disposal properly in order for it to be a useful tool for them.
I think that technology in the classroom is becoming the new frontier of teaching. Where as before we had calculators and overheads, now we have smart-boards, laptops, and ELMO's. I was reading about how technology improves the attitudes of the students who are using them, and I totally agree. I was a student who struggled a lot in math when I was younger as well as now. When I had a calculator in my hand or a computer at my disposal it was much more comforting than doing mental math. Technology, in my opinion, for math is a great thing. I don't think it should be used all of the time but sometimes it is very beneficial.
ReplyDeleteIn response to Carrie H:
I think it is great that you are learning about how technology can be an assistant for teaching rather than a hindrance. Many teacher may feel hindered by it at first but as they get to use it more it can become a part of their teaching style.
@ Tessa W.
ReplyDeleteI myself agree that I find myself using that technology rather than using paper pencil because it is more convenient.
I found chapter 7 very informative. I prefer using as much technology when it comes to math. This being I struggle with it and I can depend on it to do what I need to do. In the classroom I think that it should be used to some point. Over using technology only teaches the students to depend on technology like I do.
ReplyDeleteKatie Coulter
ReplyDeleteChapter 7
Chapter 7 was all about technology in math today, which is really weird because my mentor teacher and I just were talking about this. In class the kids have been practicing mean, median and mode. After a couple lessons she wanted them to create their own data and use it so we did some Wii Bowling! It was a lot of fun and kids loved it. She had a room set up that had 8 TVs with Wiis hooked up. Each tv had 2-4 students and they each had to do four rounds of bowling. It took the whole hour but they use the information in so many ways, comparing with other table members, tables comparing as a whole. It was really good practice and they understand where the date came from and how it was all applied. Technology can be a great thing if used right. The book mentions this software to do geometry that I really liked. Of course we have our smart boards and access to the internet so the programs and games are unlimited to us. I mention geometry because I hated this subject. I would get so lost trying to look back and forth between pages as our teacher talked about this shape and this shape. I never did learn them all. With technology comes challenges like all other classes that use it, you must be able to provide it to all students. For instance some of the kids didn’t get their 4 games of bowling in so that was homework. Most students have WIIs at home so no big deal but there were a couple that didn’t. Fortunately their library has a Wii set up for those kids that don’t.
In response to Carrie H,
I totally agree that technology shouldn’t be looked upon as one more thing they have to integrate into their lesson plans but make it the lesson itself. The only problem I see with this is the fact that there are many older generation teachers who stress out thinking about technology. It’s not a natural function for them and they sometimes really resist this tool. I think it’s great that your school has accepted it so well. As I look back on my grade school they really didn’t use technology to better their lessons but it was a privileged item we were able to play on if we got everything done. I do appreciate that they did begin us typing as soon as possible. We had typing at least once a day and I haven’t seen that in many grade schools today. I know most probably just think kids already know how to type but if you watch many do it incorrectly.
Technology is very useful in the classroom. I do not think that there is any limit to how much it is used but I think it can be overused. In my internship class I am in, my cooperative teacher has a smartboard that she never uses. She said she does not enjoy using it but other teachers use it everyday. I think that the district can save money by placing items like the smartboard in some classrooms but not every classroom. Technology reaches students where instructing or tutoring cannot reach. It is a great tool to use and students need to be taught how to use it as technology advances daily.
ReplyDeleteCassandra,
ReplyDeleteI do not know you or anything but I do not think that we can depend on technology. Technology is a source where you learn best. I think that you are correct in saying there is a limit to technology because students do also need to be taught to write and write without spell check. Technology is a great learning tool and it needs to be used in the classroom as technology is advancing more and more everyday and these students will be using it possibly as they get older.
Chapter 7 was all about using technology and manipulatives. I think that using technology in the classroom is great because technology is becoming more and more commonly used by the younger children by the time they are grown up who knows how much technology will be used. Probably for everything, even more than it is now! My mentor teacher uses the ELMO everyday in class to show students assignments and help them when they work on a problem together. I haven't seen calculators being used in the classroom yet but I think that they should be used for a variety of things. I do believe that students should try and learn their basic math facts without a calculator if they are able to, but calculators will be used later in life so I think that students should be able to use them for some assignments. Technology can be a great tool to bring into the classroom!
ReplyDeleteRebecca B.
ReplyDeleteI really like what you said about the calculator on your phone is used much more often than the scratch paper and pen you have in your purse. This is so true! I think students should know their basic math facts as well, but we use a calculator everyday, think about how that is going to be in ten to fifteen years! Technology isn't going to slow down and the more students use it the better they will be, so I think they should use it in the classroom.
Chapter 7 talks about using technology to teach mathematics. After going to the math conference, I feel like I am more knowledgeable in this topic as there was a session or two that talked about this. Not to deviate from the topic at hand, but in one of the sessions we learned how to make a SMARTboard form a wii remote and how to make your own light pen that goes with it. This is extremely helpful when it comes to budgets especially since SMARTboards are costly. Anyways, using graphic calculators helps students visualize what they are computing and can allow them to relate the data to real world situations. Students can go online and find resources that relate to math such as specific activities. Other technologies include podcasts, wikis, web logs and digital gaming.
ReplyDeleteIn response to Jordan O –
ReplyDeleteTechnology is so important these days that we need to incorporate it whenever we can. I think that technology will only get more advanced and will be the only thing the younger generation will know. I have never used ELMO but would like to see how it works as I have heard good things about it.
I liked the way the chapter began and gave a little bit of insight into what the term Pedagogical content knowledge is. I have heard the term and read about it but for some reason the way this author defined the term has given me an "AHA" moment:). He says "it is a body of information possessed by teachers that the average person, even one strong in mathematics, would not likely know. PCK is the specific strategies and approaches that teachers use to deliver mathematical content to students." I think the use of calculators is a great idea but it is still our job to teach the students "why" they get the answer they get when doing things like simple math. The book says one activity to do is to let the students practice multiples of 7, but we must teach them that when multiplying they are taking 7 objects of something in 3 or 4 or so on different groups so they can see what the term multiply means. This is getting them to think about the concept in a deeper way so that they can retain the information and not just memorize math facts.
ReplyDeleteJoel,
ReplyDeleteI think that it is sad that your mentor teacher has that wonderful technology and does not use it. I think a lot of times adults are like children and if something is new and unfamiliar to them they say they don't enjoy it when really they just don't know enough about it to enjoy it. I think if she were willing to use it even though she is uncomfortable with it than that would be a good role model to the students that we all have to learn new concepts no matter the age and it can be very rewarding when we do.
Katie Coulter,
ReplyDeleteWow what an inventive mentor teacher you have! That sounds like a classroom I want to be in:). How did she manage to get all the Wii's? Did they belong to the district or did she have several friends bring them in? Sounds like a lot of initial work and setup but it paid off. That is the kind of lessons I want to do. She gave the students something to connect the information to and made them think deeper than if they were just doing worksheets. Those students will probably remember what Mean, Median, and Mode means for the rest of their lives.
I have mixed feelings about all of the use of technology in the classroom. I understand the use of calculators because we do need to know how to use them. On the other hand, when we have access to them it is easy to punch in number to get the answer and not ever learn how to solve for the answer. I definitely think there is a need for technology in the class because it can make it fun for the students. We all know that Math tends to be a subject we all have anxiety over! By having these different technologies we are able to take these and expand in so many ways! I think we still have to be taught the old way of learning with all of the basics but I will completely agree that technology in the classroom has great benefits with it!
ReplyDeleteIn response to Ashley L,
ReplyDeleteI am so bummed I didn't make it to the Math conference. I think that would have been awesome to learn how to make a Smartboard from a Wii remote! I bet it was a blast seeing all of the new things when integrating technology! It is so crazy all of the things our young children have access to. I would have loved to have had anything like this back when I was in school. I can remember the only technology we had was on the computer and it was a game called falling Math facts. Wow! We have come a long way!
Personally, I am a full supporter of technology use in mathematics, and in any subject. I see no problem with students using a calculator when needed. Many people say that using a calculator causes student to become too dependent and not do any mental math. This is the reason that children should be taught basic computation before being introduced to the calculator. Once students can add, subtract, multiply, and divide on their own, they should be allowed to have a calculator. My question is, why not use the technology we have? We use computers for spell check when writing, we use the Internet to look up facts about history, current events, scientific findings, etc., so why not use a calculator to do math? There are other technologies besides calculators that are great to use in mathematics instruction as well. There are many computer programs and games that can help students learn as well as provide motivation for learning. I think technology is very useful and should be used to learn mathematics whenever possible.
ReplyDeleteAshley L -
ReplyDeleteI went to the math conference, but did not attend the session you talked about. After hearing what you learned, I'm really wishing I had. I would really like to hear this information, please share!
As for using a calculator, or any other technology for that matter, I don't have a major issue with it and am in full support of using them. My only problem is that I see more and more students becoming completely dependent on them because they don't want to learn the basic skills. What they don't realize is that if they don't understand the basic skills then they will never fully be able to take advantage of the calculator because they won't know why they are doing what they are doing. I have a great example of somebody being to dependent on a calculator. When I was in Jr. High, if memory serves me right, my grandma went to one of the local produce stores and was at the check out counter and the lady was putting the price of everything in her calculator and trying to figure the change to give my grandma back. My grandma had already figured it out because it was such basic math, I don't remember what the price of everything was or how much change was due back, but the lady wasn't coming up with the right amount. My grandma told her this and the check out lady just thought there was no reason the calculator could be wrong but went with what my grandma was saying anyway. My grandma had me do the math in my head when she told me the story and I came to the same answer as her. So if you don't know how to use the basics for solving a problem then using a calculator isn't going to do you any good EVER as far as I am concerned.
ReplyDeleteDina
ReplyDeleteI am with you. I have mixed fillings about using technology and calculators in the classroom also. Maybe it's just because I've always been partial to the "old school" ways and prefer to see everything right in front of me. I know in math though that, unless I need to solve the problem slightly quick, I prefer to work the problem out by writing it down so that I can see the entire process of finding the answer right in front of me. But a lot of the times I will use a calculator to help me solve the different parts of the equation so that I can write it down so I take advantage of both ways at the same time.
This chapter discusses the use of technology in mathematics instruction. The first issue addressed, the use of the calculator, showed a huge change from the way things were when I was in school. Teachers actually referred to using the calculator as “cheating” when I was young. Everything was to be done in your head or on paper. Now, calculators are actually put on the required materials list when beginning the school year. I completely agree that if the basis of the math concept being learned is not changed by using a calculator, students should be able to use them. In a real life situation, adults will grab a calculator to speed up the process of figuring out “how much is needed, how much will be spent, etc.” The overall problem deals with something other than just adding, subtracting, multiplying, or dividing, so why not allow our students to move on to the more difficult task at hand by speeding up concepts they already understand. However, the calculator should not be used to replace basic math instruction. Students need to understand the basics before short-cuts are incorporated. It is important, too, to understand each of our students and their abilities. I am almost embarrassed to say that it had never really occurred to me that some children may actually not be able to memorize math facts. In a situation like this, a calculator would provide an excellent accommodation strategy for these special needs students. In regard to using the computer, I completely agree that it is a wonderful tool!!! For instance, in using the base 10 blocks in school, the children end up focusing more on using them as building blocks than they do for the actual learning activity. Using the computer, in this case, would actually be more affective, in my opinion. I was so disappointed that the link in the book regarding base ten blocks did not work, but I did find the following link (http://learningbox.com/Base10/BaseTen.html) that had a cute game that might help. I think the one described on page 115 would have been much better, though. :-( A resource that I have been debating on subscribing to for years is www.ixl.com. I think this site is wonderful, but it only allows a small amount of daily practice before requiring the membership fee of about $90. I think that speaking to children in “the language they understand” really helps children to understand, so the cost would be worth it! I just need to bite the bullet and do it!
ReplyDeleteIn response to Andrew D...I really agree that being able to use online programs for concepts such as geometry would really help students. I am finding in the classroom where I am a Para, students often "play" with the manipulatives, rather than use them to learn. There are the few that focus on the task of learning, but in this school, the majority find the temptation to play too great to handle. They all have access to a portable computer lab, so using the internet for teaching math is ideal.
ReplyDeleteTammi-
ReplyDeleteI too see the SmartBoard being used a lot-and like it! The students seem to love it as well. Also, I feel overall, the topics mentioned in this chapter were topics I have been introduced to and at least had some idea about.
I think incorporating technology into the classroom is not only beneficial, but necessary. Technology allows for all students to learn in a different way, while having fun. Technology is the future and with so many careers expanding on technology, it's our job to introduce the topic to our students NOW. I personally am a visual learner, and using technology allows me to see what is going on. IT can be used individually or in a group or classroom. I think that technology can be sop versatile.