Lessons with Research Activity using a graphing calculator to deeply understand the movement on the plane and the implicit function

Abstract

The research activity which deepens the mathematical content of study itself, as well as the method of using the relation between mathematics and reality, is effective in activating learning with graphing calculators. Here, two examples are introduced:research of "movement on a plane" after studying high school "Math III" differentiation and research of "implicit functions" after studying "Math C" conic sections. I show through the student's reports that they deeply understand the contents of study, and try to apply earlier contents to solve a new problem.