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Elementary School Students Who Give Up on Learning Mathematics: Correlations with Non-cognitive Learner Characteristics

초등학생의 수학학습 포기 인식과 정의적 요인 연관성 분석

  • Ko, Ho Kyoung (Graduate School of Education, Ajou University) ;
  • Kim, Hyung Won (School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley) ;
  • Kaji, Shizuo (Department of Mathematical Sciences, Faculty of Science, Yamaguchi University) ;
  • Choi, Suyoung (Department of mathematics, Ajou University)
  • Received : 2017.03.19
  • Accepted : 2017.04.26
  • Published : 2017.04.30

Abstract

An increasing number of students are giving up on learning mathematics at all grade levels, including elementary school. The study in this paper considers seven non-cognitive student characteristics to identify which are strongly correlated with giving up on mathematics at the elementary school level. Data were collected with a survey on the non-cognitive domain of mathematics learning that was developed by the Korea Foundation for the Advancement of Science and Creativity in 2015. The data were collected from 3,636 elementary school students in Korea, and we analyzed the data using the statistical computing program R. Of the seven components, efficacy and interest have a strong correlation with students' tendency to profess that they have given up trying to learn mathematics. The findings of the study shed light on which non-cognitive domain areas mathematics teachers need to pay more attention to in order to make their teaching effective. This study further investigated the correlation between responses to each of the 24 survey items and students' claim that they have given up on mathematics. Using the 8 items with the highest correlations, we have developed a shorter, 8-item version of the survey, which will be useful for similar future studies.

본 연구는 수학포기자가 사회적 이슈로 대두되면서 실시한 수학학습 실태조사 데이터를 활용하여 초등학생 수학학습 포기 인식과 연관성이 높은 정의적 영역 요인과 정의적 영역 검사 문항을 추출하였다. 데이터 분석을 위하여 R의 빅데이터 분석 기법을 통해 기계학습 분석과 연관성 분석을 하였다. 그 결과 정의적 영역 요인 중에서는 효능감, 흥미 등이 가장 연관성이 높은 것으로 나타났다. 또한 정의적 영역 문항 중에서는 수학학습 포기 인식과 흥미 요인의 문항인 '나는 수학이 좋다'와 효능감 문항인 '나는 앞으로 수학을 더 잘할 수 있을 것이라 생각한다' 등 8문항을 순위별로 추출하여 초등학생을 대상으로 하는 정의적 영역 검사 간편 버전을 추출하였다. 본 연구에서 나온 결과는 초등학생의 정의적 영역 함양을 위한 지도에 있어서 보다 중점을 두어야 하는 사항을 시사할 것이다. 또한 본 연구에서 개발한 간편 버전은 향후 초등학생을 대상으로 하는 정의적 영역 검사에 활용될 것으로 본다.

Keywords

References

  1. 고호경 외 (2017). 수학나눔지원단 운영. 한국과학창의재단 연구보고서, 2017-1.(Ko, H. K. et al. (2017). Managing the mathematics learning support group. The Korea Foundation for the Advancement of Science and Creativity. Research Report, 2017-1.)
  2. 박분희.황종섭 (2006). 한국과 미국 중학생들의 수학에 대한 신념, 성취도 비교 연구. 아동교육, 15(3), 23-32.(Park. B. H., & Hwang, J. S. (2006). Study and Comparison: Beliefs and Achievement toward Mathematics of Middle School Students in Korea and Americ. Child Education, 15(3), 23-32.)
  3. 박선화.상경아 (2011). 초.중.고등학교 학생의 수학에 대한 태도 특성 및 영향 요인. 학교수학, 13(4), 697-716.(Park, S. H., & Sang, K. (2011). Characteristics of and factors affecting on students' attitude toward mathematics. School Mathematics, 13(4), 697-716.)
  4. 이미경 외 (2004). PISA 2003 결과 분석 연구-수학적 소양, 읽기 소양, 과학적 소양 수준 및 배경변인 분석. 연구보고RRE 2004-2-1. 한국교육과정평가원.(Lee, M. K., et al. (2004). The PISA 2003 Results-An Analysis of performances and influences on Mathematical Literacy, Reading Proficiency, Scientific Literacy. Report, RRE 2004-2-1. Korea Institute for Curriculum and Education.)
  5. 이미경 외 (2007). OECD/PISA 평가틀 및 공개 문항 분석. 한국교육과정평가원. 연구자료 ORM 2007-24.(Lee, M. K., et al. (2007). An Analysis of the Assessment Rubric for and Released Items of OECD/PISA. Report, ORM 2007-24. Korea Institute for Curriculum and Education.)
  6. 이재학.정상권.김선희.최민식.원유미.김영진, 고호경 (2013). 스토리텔링을 활용한 중학교 기하영역 자료 개발 연구. 한국수학교육학회지 시리즈E <수학교육 논문집>, 27(3), 341-356.(Lee, J. H., Chung, S. K., Kim, S. H., Choi, M. S., Won,, Y. M., Kim, Y. J., & Ko, H. K. (2013). Development of Meterial for Middle School Geometry using Storytelling. Communications of Mathematical Education. 27(3). 235-249.)
  7. 이종희.김선희.김수진.김기연.김부미.윤수철.김윤민 (2011). 수학 학습에 대한 정의적 성취 검사 도구 개발 및 검증. 학교수학, 50(2), 247-261.(Lee, C. H., Kim, S. H.. Kim, S. J. Kim, K. Y., Kim, B. M Yun, S. C., & Kim, Y. M. (2011). Development and verification of an affective inventory in Mathematical Learning. The Mathematical Education, 50(2), 247-261.)
  8. 임해미 (2016). 부모의 수학에 대한 태도와 기대가 수학 학습 동기와 성취도에 미치는 영향. 수학교육학연구, 26(4). 701-714.(Rim, H. (2016). The Relationships Among Parental Attitudes, Parental Expectations, Motivation and Achievement Focusing on Mathematics. The journal of educational research in mathematics, 26(4). 701-714.)
  9. 조지민.김수진.이상하.김미영.옥현진.임해미 (2011). 2011년 국제 학업성취도 평가 연구(PISS/TIMSS) : TIMSS 2011 본검사 시행보고서, 연구보고 RRE 2011-4-1. 한국교육과정평가원.(Cho, J. M., Kim, S. J., Lee, S. H., Kim, M. Y., Ok, H. J., & Lim, H. M. (2011). The 2011 International Academic Achievements Tests (PISS/TIMSS): An Administration Report of the 2011 TIMSS. Report, RRE 2011-4-1. Korea Institute for Curriculum and Education.)
  10. 홍순애 (2012). 아동의 수학적 성향, 수학불안, 수학적 자기효능감이 수학성취도에 미치는 영향. 아동교육, 21(2), 311-323.(Hong, S. A. (2012). The Effects of Children's Mathematics Disposition Anxiety and self-efficacy on Mathematics Learning Achievements. Child Education, 21(2), 311-323.)
  11. 한국과학창의재단 (2015). 수학학습 실태조사 및 개선방안 연구. 한국과학창의재단 연구보고서. 2015-12.(The Korea Foundation for the Advancement of Science and Creativity (2015). A Research on the Actual Condition and Improvement of Mathematics Learning. Research Report, 2015-12.)
  12. Collins, J. L. (1982). Self-efficacy and ability in achievement behaviour. Paper presented at the meeting of the American Educational Research Association, New York.
  13. Hidi, S., & Baired, W. (1988). Strategies for increasing text-based interest and students' recall of expository texts. Reading Research Quarterly, 23, 465-483. https://doi.org/10.2307/747644
  14. Ma, X., & Xu, J. (2004). Determining the causal ordering between attitude toward mathematics and achievement in mathematics. American Journal of Education, 110, 256-280. https://doi.org/10.1086/383074
  15. Moore, C. (2009). R workshop: introduction to geographic mapping and spatial analysis with R. http://umn.edu/-moor0554.
  16. Pekrun, R., Frenzel, A. C., Goetz, T., & Perry, R. P. (2007). The Control value theory of achievement emotions. An Integrative approach to emotions in education. In P. A. Schutz & R. Pekrun (Eds.), Emotion in Education (pp. 13-36). London, UK: Elsevier.
  17. Fennema, E., & Sherman, J., A. (1976). Fennema-Sherman mathematics attitude scales: Instruments designed to measure attitudes toward the learning of mathematics by females and males. Journal for Research in Mathematics Education, 7(5), 324-326. https://doi.org/10.2307/748467
  18. Randhawa, B. S., Beamer, J. E., & Lundberg, I. (1991). Role of mathematics self-efficacy in the structural model of mathematics achievement. Journal of Educational Psychology, 85, 41-48.
  19. Revolution Analytics (2013). R: The most powerful and most widely used statistical software. http://www.revolutionanalytic s.com/content/r-most-powerful-and-most-widely-used-statistical-software.
  20. Sherer, M., & Maddux, J. E. (1982). The self-efficacy scale: construction and validation. Psychological Reports, 51, 663-671. https://doi.org/10.2466/pr0.1982.51.2.663