New Insights and Their Implications

Throughout this class, I have begun to understand proofs because I have to break apart a picture and find the proof for myself. In high school, everytime my teacher would say we are doing proofs, I became nervous because I did not understand how to do them; however, when I had to find a formula for a parallogram, I was more confident because I found the formula using everything I knew. Another new insight I have gained from my peers are different ways of solving mathematics. When we were given the Pick's Theorum worksheet, it was amazing to understand how many different routes people took to solve the problems. It allows me to understand that not all students in my classroom are going to learn the same way I did, and it is important to allow them to experience different routes to solving a problem. Lastly, I have learned how to make my own definitions and not rely on the definitions in the book. It is so easy to look in the book, find a definition, and write it down; however, I understand and know the definition better if I write it myself.