Developing Mathematical Reasoning Part 4
Throughout this series we have discussed each of the stages of the Development of Mathematical Reasoning. In order to identify where students are in their development and to nudge them to more sophisticated ways of thinking, we need to listen and observe students carefully to what type of reasoning they are currently using. To help you, we have put together infographics for each stage of the progression, with short detailed descriptions and models used. We’ve also included exemplar videos highlighting students who are currently using and those still working towards each of the stages.
Developing Mathematical Reasoning Overview
Author
Pam Harris
Math Educator
Pam Harris is a mom, a former high school math teacher, a university lecturer, an author, and she wants to change the way we view and teach mathematics. While Pam was teaching high school math, her four children grew and mathematized their world in a way she had never imagined. “I had always bought into the myth that math is a disconnected set of facts to memorize, with rules and procedures to mimic. I now call that fake math.” Pam’s own kids, research, and experiences teaching real math have shown her what it means to mathematize and to support learners in their own journeys. Real math is thinking mathematically, not just mimicking what a teacher does on the board. You can shift your brain from using rote memory to mathematizing. Pam helps teachers make this shift for themselves, and helps teachers teach in a way that supports students to learn real math.
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