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Building Mathematical Maturity in Calculus: Teaching Implicit Differentiation through a Review of Functions

Angela Hare, Doug Phillippy 

August 2004, Volume 98, Issue 1, Page 6

Abstract:
Identifies characteristics of mathematically maturity at the calculus level and provides a project focusing on implicit differentiation that is designed to build students' mathematical maturity by helping them connect calculus concepts with prerequisite material. Gives prelesson assignment and lesson outline with examples of student responses that indicate weak understanding of problems and their probable reasoning. Solutions are included.

Keywords:
Derivatives
Article
Conceptual Development
Grades 9-12
Teacher
Lesson Plans
Problem Solving / Problem Posing
Representation