Teaching Math: Grades 9-12: Reasoning and Proof


	Observing Student Reasoning and Proof


	Introduction \| Inscribed Triangles \| Problem Reflection #1 \| Inscribed Triangle Continued \| Problem Reflection #2 \| Classroom Practice \| Observe a Classroom \| Your Journal

"Through the classroom environments they create, mathematics teachers should convey the importance of knowing the reasons for mathematical patterns and truths. In order to evaluate the validity of proposed explanations, students must develop enough confidence in their reasoning abilities to questions others' mathematics arguments as well as their own. In this way, they rely more on logic than on external authority to determine the soundness of a mathematical argument."

(NCTM, 2000, p. 346)

We will begin with examples of student work for you to consider. As you observe these problems, think about the importance of developing reasoning and proof as part of the goal of the lesson.

Next Observe student work




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