Communications of Mathematical Education (한국수학교육학회지시리즈E:수학교육논문집)

Korean Society of Mathematical Education (한국수학교육학회)
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A Causal Model Analysis of Non-Cognitive Characteristics of Mathematics Learning

수학학습 정의적 영역에 대한 인과 모형 분석

  • Lee, Hwan Chul (Korea Foundation for the Advancement of Science and Creativity) ;
  • Kim, Hyung Won (School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley) ;
  • Baeck, SeungGeun (Admission office of Ajou University, Ajou University) ;
  • Ko, Ho Kyoung (Graduate School of Education, Ajou University) ;
  • Yi, Hyun Sook (Department of Education, Konkuk University)
  • Received : 2017.04.21
  • Accepted : 2017.05.04
  • Published : 2017.05.15
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Abstract

The study in this paper, which is part of a bigger study investigating non-cognitive characteristics of Korean students at the 4-12 grade levels, aims to identify the influential characteristics that explain students' decision to give up on mathematics learning. We consider seven non-cognitive student characteristics: value, interest, attitudes, external motivation, internal motivation, learning conation and efficacy. Data were collected from 21,485 Korean students, and were analyzed with a logistic regression method using SPSS. The findings show that efficacy was the most significant indicator of students' decision to give up on mathematics learning in all three grade level bands: elementary (4th-6th), middle (7th-9th) and high (10th-12th). In particular, the causal model analysis shows that students who highly value mathematics tend to have stronger internal and external motivation, which bring about stronger interest and learning conation, which in turn lead to positive attitudes and strong efficacy regarding the learning of mathematics. It was further found that while external motivation was a significant indicator of upper grade level students' decision to give up on mathematics learning, it was only a moderate indicator for lower grade level students. The findings of this study provide useful information about which non-cognitive areas need to be focused on, in what grade levels, to help students stay on track and not fall behind in learning mathematics.

본 연구는 우리나라 초 중 고 학생들의 수학학습 실태 조사 연구의 일환으로 시도되었다. 본 연구는 수학학습에 영향을 미칠 수 있는 가치, 흥미, 학습태도, 외적 동기, 내적 동기, 학습의지, 효능감 등 7개의 정의적 요인을 가지고 분석하였다. 로지스틱 회귀분석을 통해 추출한 결과 '효능감'이 초 중 고 학생 모두에게 가장 영향을 많이 미치는 요인으로 나타났다. 또한 인과 모형으로 분석한 결과에 따르면, 학생들이 수학에 대한 '가치'를 인식할 때 '외적/내적동기'가 발생하고, 두 동기는 수학에 대한 '흥미'와 '학습의지'를 높이며, 마지막으로 긍정적인 '학습태도'와 '효능감'을 발달시킨다는 사실을 확인할 수 있었다. 또한 학교급이 높아질수록 외적동기의 영향력이 강해지는 반면에 초등학생인 경우 외적 동기가 흥미로 이어지지 않았으며, 초등학생과 중학생의 경우 '흥미'가 수학 포기여부에 영향을 준 주요 매개 변인으로 나타났다. 본 연구에서 제시한 경로 분석 연구 결과는 정의적 영역의 각 요소가 어떤 경로로 수학포기에 이르는가를 분석한 것으로, 향후 학생들의 수학 학습 지도에 중점을 두어야 할 사항과 우선순위를 두고 접근해야하는 요소 등에 대한 시사점으로 활용할 수 있을 것으로 기대한다.

Keywords

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