June 19, 2007
Having considered the question, how students learn mathematics through terms like constructivism and understanding, how do these theories and perspectives with what you have thought prior to this course? What do you think are the implications for constructivism in the classroom -- what would it look like?
Having only taught one year, and pretty much using the trial and error method, I am excited about constructivism. It's kind of exciting the way students construct their own knowledge and understanding using the knowledge and experiences they already have to create new ideas. When I envision constructivism in the classroom, i envision students working together in groups, a somewhat noisy environment (the good kind), students motivated to learn and engaged in the task at hand and being able to explain their strategies and solutions.
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I see the same things you see. I allowed my students to work in groups a lot last year, but it wasn't what you'd consider constructivist. I helped them too much and gave them too many algorithms. I want to make the transition this year and see how it goes.
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