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Developing Reasoning through Proof in High School Calculus

John Perrin 

December 2008, Volume 102, Issue 5, Page 341

Abstract:
Developing students’ ability to reason has long been a fundamental goal of mathematics education. A primary way in which mathematics students develop reasoning skills is by constructing mathematical proofs. This article presents a number of nontypical results, along with their proofs, that can be explored with students in any calculus classroom. Carefully investigating these results with calculus students is meant to strengthen students’ reasoning skills as well as their understanding of calculus.

Keywords:
Article
Calculus and Higher Level Mathematics
Grades 9-12
Teacher
Lesson Plans
Professional Development / Teacher Education
Reasoning and Proof