Journal of the Korean School Mathematics Society (한국학교수학회논문집)

The Korean School Mathematics Society (한국학교수학회)
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The Effects of Graphics Representation of Trigonometry Modelling on Question Generating and Idea Sharing

삼각함수의 모델링에서 그래픽 과정이 학생들의 질문 생성과 수학적 아이디어 교환에 미치는 효과

  • Received : 2021.06.02
  • Accepted : 2021.06.23
  • Published : 2021.06.30
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Abstract

The purpose of this study is to qualitatively examine the effects of graphics representation of trigonometry modelling concerning question generating and idea sharing. The experimental setting(Experiment Group) was one class (N=26) at a public high school. The modelling process was designed as a process-oriented conceptualization divided into three steps i.e., (1) game with idea sharing and question generating, (2) graphic representation, and (3) symbolization in the mathematical applied tasks related to trigonometry function. The result indicates that Graphic Representation with Game Activity increases the opportunity of question generating and idea sharing during experimental work. Also, the results show that the introduction of computer graphics enhances the teaching of mathematical quantity in highschool classrooms.

본 연구에서는 삼각함수의 모델링을 통한 그래픽 과정의 효과를 알아보기 위한 실험연구로 실험과정의 분석을 질적연구 방법으로 처리했다. 이를 위해 수학적 모델링의 절차를 세분하여 기존의 모델에 두 단계, 즉, 질문의 생성과 아이디어 교환을 강조하는 놀이실험단계와 컴퓨터 그래픽 과정의 단계를 추가했다. 실험은 고등학교 2학년을 대상으로 실험반(TMG) 26명이 참여했고, 데이터의 질적분석을 위해 활동지, 면담 및 실험과정의 관찰자료를 분석하였다. 국내외 대부분의 연구가 통계적 방법을 이용한 양적 분석 방법이기 때문에 교사들에게는 모델링 수업에 큰 도움을 주지 못한다. 연구결과로 (1) 기존의 수학적 모델링의 절차에 두 개의 단계를 추가하여 보다 세분화한 모델링의 과정은 질문생성, 아이디어교환, 동료들과 소통 등에서 긍정적인 결과를 볼 수 있었다. (2) 실험학교의 수학과 수업에 컴퓨터 그래픽을 포함한 테크놀로지의 도입은 양과 수(Quantity) 교육에 매우 적절함을 보여주었다.

Keywords

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