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Lim, Kien H. – Mathematics Teaching in the Middle School, 2014
Student errors are springboards for analyzing, reasoning, and justifying. The mathematics education community recognizes the value of student errors, noting that "mistakes are seen not as dead ends but rather as potential avenues for learning." To induce specific errors and help students learn, choose tasks that might produce mistakes.…
Descriptors: Secondary School Mathematics, Middle School Students, Error Patterns, Error Correction
Levenson, Esther – Journal of Mathematical Behavior, 2012
This paper focuses on three junior high school mathematics teachers and their knowledge of the nature of definitions. The mathematical context of exponentiation is used as a springboard for discussing two aspects of definitions: their corresponding domains and the distinction and relationships between definitions, proofs, and theorems. Through…
Descriptors: Mathematics, Definitions, Mathematics Teachers, Secondary School Teachers