New Insights and Their Implications

I have lerned many things from my peers and the instructor so far in this course. I have learned that there are a variety of ways to teach math, and no one way is the correct way. I have learned that you have to allow students (and yourself) to struggle in order to come to a solution to a problem, and to truly understand the concept. I have also learned that there are many ways to approach problems, and various ways (or ramps) to take when solving a problem to get to the correct solution. Some implications for teaching and learning mathematics are to allow the students (and yourself) time to figure out the problem independantly. The students and individual must struggle a bit if they are to understand the concept presented before them. Students must be allowed to test different ways of reaching a solution to a problem, as well as understand how they came to the solution. The same can be said for learning mathematics; you must concentrate, and struggle with problems before coming to a solution to further your understanding. Through this course, I have also learned a lot about myself and my own struggles with mathematics. I am not the best math student, but I find that talking with peers and asking questions about reaching solutions is a great way to learn because it allows me to understand the concept for myself, not just simply coming up with a correct answer. As the semester progresses, I hope to obtain more insight into the teaching and learning of mathematics.