Understanding Integer Operations


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Sunday, July 21, 2013

Cooperative Learning

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Cooperative Learning

What is cooperative learning and how can it be implemented in a classroom. Lets look at this idea broadly and narrow it down. From what I have observed and read is that first and foremost as the teacher we need to know our students. I know I taught a lesson this past fall and I did a random name draw to create groups. My cooperating teacher was a bit on edge at first thinking two students who didn’t work well together were put together. When I was drawing the names I knew these students didn’t work well, so I made sure they were all in different groups. 
You really need to know your students. If you have all the bossy kids together they won’t work. All the shy kids together won’t work either. You can do random picks as well from time to time to have students who normally may not work together to allow them time together, sometimes kids can surprise us.

I know I’ve discussed with teachers the number of students in a team or group and the majority say 4-6 per group. More than 6 I have been told just isn't as effective when it comes to group work. Also, that you should assign roles for each student. I remember one teacher she would set colored clips on the desks. We would each pick one out; she would than put the task on the board and what each color represented. One person was the recorder (the writer), another the go-getter and putter away of supplies, pen-holder (so everyone had a chance to share before the writer could write) and many other different jobs depending on the task. I felt this was a great way because each time you could end up with a different task, even if you always picked the same color. 

Some ways to incorporate cooperative learning are through think-pair-share. Students are posed a question and think about it individually, than they pair with a classmate collaborate than share as a whole group. Another way is by having clock buddies. You have students set up a clock with other classmates names on them and when you want students to work cooperatively you can call out “Work with you 2 o’clock buddy” this way you don’t have to worry about a student not being picked.

Check out the article from the U.S. Department of Education regarding cooperative learning. Cengage Learning also has a great website you can read up to learn more about Cooperative Learning.




Wednesday, July 10, 2013

Response to YouTube Videos... What's your take?

Response to YouTube Videos... What's your take?

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It was a great perspective to see all three videos, Math Education: An Inconvenient Truth , Math Education: A response to “An Inconvenient Truth” Part 1 , and Math Education: A response to “An Inconvenient Truth” Part 2 It was great to see the different sides. The College Professor sat a bit on both sides of the fence. In this last video he discusses that math is being taught as abstract. Students developmentally do not start thinking abstract till they hit their early teens. Yet we are expected to teach students in the elementary grades to think abstractly. Students only worry about the here and the now. If it isn't relevant to me today, than why I should learn this... so you say I will use this in the future; my future is in 10 minutes when I go out to recess and if I should play with Bob or Jill. 

He goes on to say that math is useful, that it isn't a bunch of formulas. Rather that students need to think things out. It's the thought process and the understanding of numbers. He really didn't know the books that were being used, but what he could understand of the books and the few he knows, is that the books are trying to make math sensible and useful for students.

He goes on to make another good point; teachers don't always buy into the books. If the teacher teaching the math, from said book, doesn't buy into it than it won't be taught that way. I know many teachers who say yeah we did it the book way the first year and now I modify it to my liking. It seems to me and to the author of the second and third YouTube video, that we as adults, yes, even us teachers, can't get past the way we were taught math. I know personally I learned by a formula method. This is the formula memorize it and that’s it. I can tell you, so I memorized others I had no idea. 

He makes a point that you can't change the curriculum without changing the national tests. I feel that this shouldn't be true, unless they are looking for a specific formula, than yes this would be true. If the goal of the test if for students to answer the questions, show their work and get the question right, than we as teachers using other forms of learning math shouldn't sweat national tests. If these tests require specific formulas to pass, well than buckle up, for the next nine months you will be teaching for a test. Sadly most of the tests are at the beginning of the year and don't reflect your teaching and a summer break in their as well. 

I loved that he said the ultimate goal is for students to understand numbers, make sense of them and to also know the algorithms. Math needs to make sense for it to stick and for us to want to attempt to try it again down the road or to take interest in it again. Once the numbers make sense and you can look at a problem and work your way through it, than that is the time to practice. I would rather spend time teaching kids to think about the numbers and then having them practice and really understand, than to have to try to figure out where they went wrong and try and correct a process that they have wrongly engrained. 

You need to know how to think or you don't trust the process... if you don't trust the process would you keep trying or give up?... step in to an elementary students shoes for a moment to answer that question... Even as an adult, I'm not sure I would...

Friday, July 5, 2013

THINKING BLOCKS

Thinking Blocks
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The Thinking Blocks manipulatives were fun and educational at the same time. With using these manipulatives you could use them as a way to gauge where your students are with comprehension on each section. I probably wouldn’t use it to gauge where students are at comprehensively, but I would use them as a tool that students could use after they had learned the concept.

I feel that if used as a tool and not as a main way to teach the lesson the Thinking Blocks could be helpful for students. I would maybe make this one of the stations during a math lesson and have other stations that student’s would rotate through. I feel that this way I could have different techniques that the students can go through. Some students work best with manipulatives right in their hands and others work better when they work with their peers and some would better their understanding through the website manipulatives.

I’d probably introduce this into a first grade classroom and continue through the second and third grade. Kids today would not have a problem with the technology. All the students would need to be taught how to use the website, so this would be important step to cover first. I would model the website to students as a whole before I would send them of to do on their own. I would make sure that I had charts and 100 tables, as the first graders are still working on numbers. I guess I would see how they did with it, if they struggled I would hold off till second grade.