Teacher resources and professional development across the curriculum
Teacher professional development and classroom resources across the curriculum
In this session:
Observing Student Reasoning and Proof
Exploring Reasoning and Proof
Defining Reasoning and Proof
Applying Reasoning and Proof
Evaluating Reasoning and Proof
The ability to reason allows us to use mathematical knowledge and to generate and solidify mathematical ideas that are new to us. As part of the reasoning and proof process, students develop their mathematical ideas by making, testing, and refining conjectures. In the middle grades, students sharpen and extend their reasoning skills by analyzing their assertions, using both inductive and deductive reasoning.
How do we help students reason mathematically? In this session, we look at some of the specific steps of mathematical reasoning and proof, examine examples of student reasoning and proof as students solve problems, describe the teacher's role in setting the classroom environment to encourage student reasoning, and reflect on classroom practice in employing the Reasoning and Proof Standard.
This session shows how to help students do the following
NCTM Reasoning and Proof Standard
Instructional programs . . . should enable all students to --
Principles and Standards of School Mathematics (NCTM, 2000.)
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