[논문]전개도 과제에서 지오픽스와 Cabri 3D를 활용한 학습의 효과 비교

서화진; 이광호

doi:10.7468/mathedu.2021.60.1.159

[국내논문] 전개도 과제에서 지오픽스와 Cabri 3D를 활용한 학습의 효과 비교
Comparative study of the effects in using geofix and cabri 3D on folding nets' activities 원문보기

Journal of the Korean Society of Mathematical Education. Series A. The Mathematical Education, v.60 no.2, 2021년, pp.159 - 172

서화진 (전주송원초등학교) , 이광호 (한국교원대학교)

초록
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본 연구의 목적은 조작 교구와 탐구형 기하 소프트웨어를 활용한 전개도 학습이 초등학교 5학년 학생들의 공간 감각에 주는 영향을 비교·분석하는 것이다. 이를 위해 한 실험집단은 조작 교구인 지오픽스를 한 실험집단은 탐구형 기하 소프트웨어인 Cabri 3D를 활용하여 전개도를 학습하였다. 비교 집단은 교구나 소프트웨어의 사용 없이 학습지만으로 학습을 진행하였다. 사전과 사후에 공간 감각 검사를 실시하여 그 수준을 파악하였고, 시선 추적 검사를 실시하여 전개도 과제를 해결하는 학생들의 전략을 분석하였다. 그 결과 조작 교구인 지오픽스를 활용한 전개도 학습이 공간 감각에 가장 효과적이었으며, Cabri 3D 또한 전개도를 학습하기 위한 좋은 도구가 될 수 있음을 확인할 수 있었다. 또한, 전개도 학습 이후 학생들의 해결 전략은 가장 효율적인 전략이었던 분석적 전략이 증가하였으며, 이러한 과정에서 시선 추적은 학생들의 전략을 탐색하는 매우 유용한 도구가 됨을 알 수 있었다.

Abstract ▼ AI-Helper

The purpose of this study is to compare and analyze the effects of physical manipulative and exploratory geometry software on the spatial sense for 5th grade elementary school students in learning nets. For this purpose, ton experimental group used Geofix, an operational learning tool, and the experimental group used Cabri 3D, an exploratory geometry software to learn the nets of solids. The comparison group was learned by worksheet only without any manipulative or software. Spatial sense tests were conducted before and after to determine the level, and eye tracking were used to analyze the strategies of students in solving nets problems. As a result, it was confirmed that the using Geofix group was the most effective for the spatial sense, and Cabri 3D could also be a good tool for learning the nets of solids. In addition, after learning the nets of solids, the analytical strategy, which was the most effective strategy for students' solving strategies, increased. In the process of solving spatial tasks such as the spatial sense tasks, eye tracking technology become a very useful tool for exploring students' strategies, so it is expected that objective and useful data will be collected through more active use in the future.

주제어

표/그림 (15)

그림 [Fig. 1] An example of Tartre's spatial factor classification and its tasks (Tartre, 1990b, p.30)
그림 [Fig. 2] The framework for the spatial test
표 [Table 1] The schedule of the course activities
표 [Table 2] Contents of spatial sense test
표 [Table 3] Sample questions in eye tracking tasks
표 [Table 4] Strategy division of the development tasks
표 [Table 5] Descriptive statistics of the three groups in pre and post tests
표 [Table 6] Descriptive statistics of the data from eye tracking tests
표 [Table 7] The results of Bonferroni between three groups
표 [Table 8] An example of holistic strategy on a gaze plot(students G20(left) and P04(right))
표 [Table 9] An example of analytic strategy on a gaze plot(students C05(left) and P03(right))
표 [Table 10] Gaze plot of a participant G20
그림 [Fig. 3] Accuracy and response time for the strategy in eye tracking tests
표 [Table 11] Accuracy and response time for the strategy in eye tracking tests
표 [Table 12] Percentages used the strategy in pre-test and post-test (%)

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