Developing Reasoning through Proof in High School Calculus

  • Developing Reasoning through Proof in High School Calculus

    John Perrin
    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.