영재 사사과정에서 공학도구를 활용한 미적분 및 미분방정식 탐구 지도 사례

Abstract

The purpose of this study is to present a year-long instructional case study of middle school mathematically gifted students in Science Gifted Education Center using technological devices to explore mathematical models based oncalculus and differential equation, and to draw implications for gifted education. In the classes conducted in this study, technological devices were used to compute expressions and visualize graphs. The use of technological devices reduced the amount of time spent on calculations and graphing, allowing more time for interpretation and discussion of models. As a result, students understood the calculus and differential equation models and interpreted the models in various ways using graphs based on abundant discussion time. The results of this study show that it is possible to explore calculus and differential equation models at the middle school level by using technological devices. Furthermore, visualization with technological devices provides opportunities for observation and discovery of mathematics and allows for plentiful discussion and interpretation by securing time for interaction among students, so there is a need for more active use of technological devices in gifted classes.