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Article

전자저널 논문

2019; 29(4): 481-506

Published online November 30, 2019 https://doi.org/10.29275/jerm.2019.11.29.4.481

Copyright © Korea Society of Education Studies in Mathematics.

High School Students’ Process-object Understanding of Derivatives at a Point in Multiple Contexts

고등학생들의 다양한 맥락에서 미분계수 과정-대상 이해에 대한 사례 연구

이지현, 이기돈

Abstract

The purpose of this case study was to explore seven high school students’ understanding of derivatives at a point in terms of multiple contexts (symbolic, graphic, numerical/verbal, physical, applied contexts) and also the process-object layers. Student participants who demonstrated a structural conception of the ratio layer in symbolic, graphic, and physical contexts revealed a weak understanding of rate values as the results of comparing two quantities multiplicatively. As for the limit layer, some participants failed to think of the limit process, or could only think of the partial limit process. The analysis of students’ understanding may suggest, in terms of multiple contexts and the process-object layers, which aspects are lacking in current high school teaching and learning practices of derivatives.

Keywords미분계수,다양한 맥락(혹은 표현),과정-대상 이론,변화율,Derivative,multiple contexts(or representations),the process-object theory,rate of change