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Dewey Chapter 3

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Chapter 3 John Dewey gave the opening quote: “We only think when we are confronted with problems” (p.32). This feels like a correct statement for this time period in the world. Problem solving in mathematics is difficult for most students. Schroeder and Lester (1989) associated three kinds of methods to problem solving; teaching for, about, and through problem solving. Students have to think to be successful. Thinking out of the box, how to solve a problem and connecting to the everyday life are ways a student produces the critical thinking that we need our students to develop. If a teacher teaches only for problem solving, the students that do not have their foundation of mathematical knowledge will not understand the explanations of the teacher. As the book defined, I am thankfully the “about” …show more content…

If they are excited they are more prone to go the extra mile. Teachers have to really search and plan when developing the math lesson. I do like the before, during, and after shown in figure 3.7 on page 49. I have tables in my classroom and love to listen to my students talk about how they are solving their math problems. Some are so confident when they are presenting to their group. It just makes me happy. It is my belief that we need to assign more extended response questions. These allow for a deeper search and a deeper understanding of the math concept. Sometimes, a much deeper struggle is experienced. Writing is as important in math as in all of our subjects. Mathematical pictures can be drawn. A connection can be made between math and all of our other subjects. I have several sets of wonderfully written math books by German author, Cindy Neuschwander. We are studying geometry now, so Sir Cumference and the Great Knight of Angleland would be a great book to read to my students. Hopefully our school library has the Two of Everything (Hong, 1993). This is one that I want to

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