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Counterexamples as Starting Points for Reasoning and Sense Making

David A. Yopp 

May 2013, Volume 106, Issue 9, Page 674

Abstract:
Asked to “fix” a false conjecture, students combine their reasoning and observations about absolute value inequalities, signed numbers, and distance to write true mathematical statements.

Keywords:
Absolute Value
Teacher Education
Curriculum Developer
Conceptual Development
Communication
Teacher in Training / Preservice Teacher
Grades 9-12
Math Coordinator / Coach
Curriculum
Problem Solving / Problem Posing
Reasoning and Proof