I did not know this going into this class because I was completely caught off guard with all the manipulatives students do now. Multiplication was not my favorite in elementary school because I would always get confused and learning the ways students do now confused me even more. I had never heard of the lattice method or used manipulatives to solve multiplication like students do now. I think it is great because if I were given these options maybe I could have done better. Learning all the conceptual ways made me nervous about teaching elementary math because I thought I was never going to understand it.
My general feelings towards math would have to be because of my elementary math teacher. She would have us sit down and do paper work about math rather, then having us do things that were hands on. The reason I feel like this has contributed to me not liking math is because the teacher gave me the impression that math cannot be fun. In middle school I felt embarrassed because we all were split into math groups, and as a result I felt like was judged because of this. I also thought my math was for people who could not do math well, and the people who were in the highest math group were people who were smart, and could easily do math.
Then, mathematical induction introduced me to the power of proof. In this paper I hope to address the concept of proof, how it relates to understanding and the implications for mathematics education. BACKGROUND In the 1950’s and 60’s proof played a significant role in mathematics education. Then in 1989, the National Council of Teachers of Mathematics (NCTM) deemphasized proof and replaced it with reasoning. Following this, mathematics educators began to see that students had difficulty with proof because they had little contact with it.
Most students would experience great difficulty in working with simple operations such as division. (Fractions may in fact be the work of Satan in the minds of some students). It is of the utmost importance for students to learn how to approach problems without the aid of technology. The great minds of the past did not have computers, calculators, or even chalk boards; yet, they were able to develop a world of reason that we call mathematics. If past scholars could do complex proofs without the aid of today’s technological advancements, I do not think it is nonsensical to expect a student of algebra to be able to graph a function with pencil and paper.
Do I have a math Phobia? I would not say that I have a math phobia, because when I understand the math I am doing I really enjoy it. Math is like a puzzle and it is comforting to know that there is one right answer. In high school, however, I was not a fan of math. My math teachers were not the greatest and I had a lot of trouble grasping the concepts, which made me overly anxious for the tests.
6. How would you convince a fellow teacher that using calculators could be helpful when learning mathematics? As stated by the text, many teachers do not see the importance or value of using calculators in the classroom. Many teachers feel that students’ understanding of basic mathematical skills would suffer with the use of calculators, and personally I have shared these similar feelings about the use of calculators. But the textbook gives several positive rationales for the use of calculators in the classroom.
As I was read the article about Mathematical learning disabilities, mathematics is one of the most practical academic disciplines. It is also involved problem solving which involve affective factors. I choose these current issues, because I just want to know more or study and investigated some Mathematical learning disabilities. There’s no aged, gender, culture. Experiencing this kind of issues in studying because each of us have a different level of thinking each of us can understand easily but mostly everyone must hard to understand when it comes in numbering, solving problems and analyzing in mathematics.
The teachers always made us show all of the steps, and if we used calculators the steps would be missing on the paper. So, I found it very helpful to use a calculator to check my answers. But I also thought that the calculators were somewhat confusing and complicated. I always felt like I was doing so much work to get to an answer than if I did it on my own on paper. I felt that it was easier to do the steps on the paper, than to remember all the buttons that I would have to push on the calculator.
Math is a big part of our life and is used all the time, from handling money to telling time. However some people may have anxiety when they think about having to take a math class because they don’t like math, let alone some having to learn how to teach math. Everyone has a different experience and for some learning math comes easier than others. Thinking about math gives me anxiety and didn’t have the best experiences when it came to learning math. Knowing that I have to teach math makes me a little nervous but I am willing to make my experience a positive one.
Automaticity of math facts is beneficial to all mathematics learning. Fortunately, there are ways to help students learn basic facts without skill and drill. Explicit strategy instruction is more effective than encouraging strict rote memorization (Woodward, 2006). Yet, many educators are unsure of how to help students master facts. Too many educators still have misconceptions of how students learn facts and how they commit them to long-term memory (Baroody, 1985).