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수학 교수 학습에 대한 예비초등교사의 신념 연구

A Study on Pre-service Elementary Teachers’ Mathematical Beliefs about the Nature of Mathematics and the Mathematics Learning

김상미|박만구|김진호|강은경|조수윤|권성룡
한국수학교육학회|2019.01|초등수학교육 (Education of Primary School Mathematics)|제22권 제1호|pp. 49-64|DOI https://doi.org/10.7468/jksmec.2019.22.1.49

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참고문헌

키워드

초등예비교사수학적 신념mathematical beliefs교과학습prospective elementary school teachers

초록

이 연구는 우리나라 초등예비교사의 수학의 본질 및 수학 학습에 대한 수학적 신념 및 수학적 신념의 범주별 관련성을 알아보는 데 목적을 두었다. 이를 위해 4개 교육대학교 수학교육과에 재학 중인 1, 2, 3, 4학년 초등예비교사399명(여학생 283명, 남학생 116명)의 수학적 신념에 대한자료를 수집하였다. 설문조사에 사용된 문항은 2008년에실시한 TEDS-M의 신념 관련 연구에 사용하였던 설문지를 국문으로 번역하여 사용하였으며 성별, 학년별, 교육대학교별로 나누어 분석하였다. 또한, 수학의 본질에 대한신념 사이의 상관 관계를 분석 하였다. 먼저 일원분산분석을 통하여 신념이 각 그룹별로 통계적으로 유의미하게 다른지를 살펴보았으며, 그 후 Duncan의 사후 검증 및Tukey의 HSD 사후 검증을 실시하여 분석하였다. 연구결과, 예비교사들의 수학의 본질에 대한 신념은 수학이 이미만들어진 결과인 지식과 절차로 보는 것보다는 탐구의 과정이 수학적 본질에 더 가깝다고 생각하고 있는 것으로드러났다. 수학학습에 대한 신념 측면에서 연구에 참여한예비교사들은 ‘교사지시’에 대해서는 교수 행위로 바람직하지 않다고 보는 반면, 학생들의 주도적 학습에 대해서는바람직한 것으로 보는 경향이 있었다. 초등 예비교사의 수학적 신념의 범주별 관련성에서 수학을 ‘탐구의 과정’으로보는 신념과 수학의 학습이 ‘주도적 학습'이어야 한다는신념이 통계적으로 유의미하게 관련되어 있고, 수학을 ‘규칙과 절차’로 보는 신념과 수학의 학습은 ‘교사 지시’여야한다는 신념이 통계적으로 유의미하게 관련이 있는 것으로 나타났다.

Abstract

The purpose of the study was to examine the current status of prospective elementary school teachers’ mathematical beliefs. 339 future elementary school teachers majoring in mathematics education from 4 universities participated in the study. The questionnaire used in the TEDS-M(Tatto et al., 2008) was translated into Korean for the purpose of the study. The researchers analyzed the pre-service elementary teachers’ beliefs about the nature of mathematics and about mathematics learning. Also, the results of the survey was analyzed by various aspects. To determine differences between the groups, one-way analysis of variance was used. To check the relationship between beliefs about the nature of mathematics and about the mathematics learning, correlation analysis was used. The results of the study revealed that the pre-service elementary teachers tends to believe that the nature of mathematics as ‘process of inquiry’ rather than ‘rules and procedures’ which is a view that mathematics as ready-made knowledge. In addition, the pre-service elementary teachers tend to consider ‘active learning’ as desirable aspects in mathematics teaching-learning practice, while ‘teacher’s direction’ was not. We found that there were statistically significant correlation between ‘process of inquiry’ and ‘active learning’ and between ‘rules and procedures’ and ‘teacher direction’. On the basis of these results, more extensive and multifaced research on mathematical beliefs should be needed to design curriculum and plan lessons for future teachers.

참고문헌 (60)

  1. 김부미, "우리나라 중·고등학생의 수학적 신념 측정 및 특성 분석", 수학교육학연구, 22(2), pp.229~259 (2012), 대한수학교육학회[DOI]
  2. 김윤민, "초등 예비교사의 수학적 신념 분석 연구", 학교수학, 18(3), pp.691~709 (2016), 대한수학교육학회
  3. AMOS를 이용한 알기 쉬운 통계분석, "SPSS", pp.2011, 성태제
  4. 조수윤, "초등학교 학생과 교사의 수학학습에 대한 가치 및 가치를 고려한 수업의 양상 분석", 박사, pp.2017
  5. Adnan, M., "Relationship between mathematical beliefs, conceptual knowledge and mathematical experience among pre-service teachers", Procedia-Social and Behavioral Sciences, 46, pp.1714~1719 (2012)
  6. Ball, D. L., "Content Knowledge for Teaching", Journal of Teacher Education, 59(5), pp.389~407 (2008)
  7. Brown, C. A., "Handbook of research on mathematics teaching and learning", pp.209~239 (1992), Macmillan
  8. Brown, T., "Primary student teachers’ understanding of mathematics and its teaching", British Educational Research Journal, 25(3), pp.299~322 (1999)
  9. Charalambous, C. Y., "Handbook of international research in mathematics education", pp.19~59 (2016), Routledge
  10. Clark, C. M., "Handbook of research on teaching", pp.255~296 (1986), Macmillan
  11. Crockcroft Report, "Mathematics counts" (1982), HMSO
  12. Cross, D. I., "Alignment, cohesion, and change : Examining mathematics teachers’ belief structures and their influence on instructional practices", Journal of Mathematics Teacher Education, 12(5), pp.325~346 (2009)
  13. Dionne, J., "The perception of mathematics among elementary school teachers", Proceedings of the 6th annual meeting of the North American chapter of the International group for the psychology of mathematics education (PME), pp.223~228 (1984), University of Wisconsin
  14. Ernest, P., "Mathematics teaching: The state of the art", pp.249~254 (1989), Falmer Press
  15. Ernest, P., "The knowledge, beliefs and attitudes of the mathematics teacher: a model", Journal of Education for Teaching, 15(1), pp.13~33 (1989)
  16. Ernest, P., "The philosophy of mathematics education" (1991), The Falmer Press
  17. Ernest, P., "Social constructivism as a philosophy of mathematics" (1998), SUNY Press
  18. Fennema, E., "Using children’s knowledge in instruction", American Educational Research Journal, 30(3), pp.403~434 (1993)
  19. Goldin, G. A., "Beliefs: a hidden variable in mathematics education?", pp.59~72 (2002), Kluwer
  20. Green, T. F., "The activities of teaching" (1971), McGraw-Hill Kogakusha
  21. Handal, B., "Mathematics teachers’ beliefs and curriculum reform", Mathematics Education Research Journal, 15(1), pp.59~69 (2003)
  22. Hart, L., "Preservice teachers’ beliefs and practice after participating in an integrated content", methods course, 2002, pp.102, 4~14
  23. Hill, H. C., "Developing measures of teachers’ mathematics knowledge for teaching", The Elementary School Journal, 105(1), pp.11~30 (2004)
  24. Hollingsworth, S., "Prior beliefs and cognitive change in learning to teach", American Educational Research Journal, 26, pp.160~189 (1989)
  25. Kang, E. K., "Prospective primary teachers’mathematics knowledge for teaching and beliefs", doctoral, pp.2014
  26. Klieme, E., "Creating effective teaching and learning environments. First results from TALIS", pp.87~135 (2009), OECD
  27. Leder, G. C., "Beliefs: A Hidden Variable in Mathematics Education?", pp.95~114 (2002), Kluwer Academic Publishers
  28. Martino, P., "Attitude towards mathematics : A bridge between beliefs and emotions", ZDM, 43(4), pp.471~482 (2011)
  29. McLeod, D. B., "Affects and mathematical problem solving", pp.245~258 (1989), Springer-Verlag
  30. McLeod, D. B., "Handbook of research on mathematics teaching and learning", pp.575~596 (1992), Macmillan
  31. Memon, M., "Curriculum change in Pakistan : An alternative model of change", Curriculum and Teaching, 12(1), pp.55~63 (1997)
  32. National Council of Teachers of Mathematics, "An agenda for action" (1980), National Council of Teachers of Mathematics
  33. Op’t Eynde P., "A hidden variable in mathematics education?. Mathematics Education Library, vol 31" (2002), Springer
  34. Pajares, M. F., "Teachers’ beliefs and educational research : Cleaning up a messy construct", Review of Educational Research, 62(3), pp.307~332 (1992)
  35. Pehkonen, E., "Research on mathematical beliefs: the birth and growth of the MAVI group in 1995–2012", Nordic Studies in Mathematics Education, 17(3-4), pp.7~22 (2012)
  36. Philipp, R. A., "Second handbook of research on mathematics teaching and learning", pp.257~315 (2007), Information Age Publishing
  37. Philipp, R. A., "Effects of early field experiences on the mathematical content knowledge and beliefs of prospective elementary school teachers : An experimental study", Journal for Research in Mathematics Education, 38(5), pp.438~476 (2007)
  38. Raymond, A. M., "Inconsistency between a beginning elementary school teacher’s mathematics beliefs and teaching practice", Journal for Research in Mathematics Education, 28, pp.550~576 (1997)
  39. Richardson, V., "Handbook of research on teacher education" (1996)
  40. Romberg, T., "Handbook of research on teaching", pp.850~873 (1986), Macmillan
  41. Roulet, R. G., "Exemplary mathematics teachers: Subject conceptions and instructional practices", doctoral, pp.1998
  42. Schoenfeld, A. H., "When good teaching leads to bad results: The disasters of “well taught”mathematics courses", Educational Psychologist, 23, pp.145~166 (1988)
  43. Schoenfeld, A. H., "Handbook of research on mathematics teaching and learning", pp.334~370 (1992), Macmillan
  44. Schoenfeld, A. H., "Toward a theory of teaching-in-context", Issues in Education, 4(1), pp.1~94 (1998)
  45. Seaman, C. E., "A comparison of preservice elementary teachers' beliefs about mathematics and teaching mathematics : 1968 and 1998", School Science and Mathematics, 105(4), pp.197~211 (2005)
  46. Seah, W. T., "What students value in effective mathematics learning : a ‘Third Wave Project’research study", ZDM, 44(1), pp.33~43 (2012)
  47. Sherin, M. G., "A balancing act : Developing a discourse community in a mathematics classroom", Journal of Mathematics Teacher Education, 5(3), pp.205~233 (2002)
  48. Shulman, L. S., "Knowledge and Teaching : Foundations of the New Reform", Harvard Educational Review, 57(1), pp.1~22 (1987)
  49. Stipek, D. J., "Teachers’ beliefs and practices related to mathematics instruction", Teaching and Teacher Education, 17(2), pp.213~226 (2001)
  50. Swars, S. L., "A longitudinal study of effects of a developmental teacher preparation program on elementary prospective teachers’ mathematics beliefs", Journal of Mathematics Teacher Education, 12(1), pp.47~66 (2009)
  51. Szydlik, J. E., "Mathematical beliefs and conceptual understanding of the limit of a function", Journal for Research in Mathematics Education, 31(3), pp.258~276 (2000)
  52. "The teacher education and development study in mathematics (TEDS-M). Policy, practice, and readiness to teach primary and secondary mathematics in 17countries: Technical report" (2013)[URL]
  53. Tatto, M. T., "Teacher education and development study in mathematics (TEDS-M): Conceptual framework. east lansing" (2008), Teacher Education and Development International Study Center, College of Education, Michigan State University
  54. Policy, practice, and readiness to teach primary and secondary mathematics in 17 countries: Findings from the IEA Teacher Education and Development Study in Mathematics (TEDS-M), "Tatto, M. T.", International Association for the Evaluation of Educational Achievement, ~ (2012)
  55. Teacher Education and Development Study in Mathematics (TEDS-M): Policy, practice, and readiness to teach primary and secondary mathematics. Conceptual framework, "Tatto, M. T.", Teacher Education and Development International Study Center, College of Education, Michigan State University, ~ (2008)
  56. Thompson, A. G., "The relationship of teachers’ conceptions of mathematics and mathematics teaching to instructional practice", Educational Studies in Mathematics, 15(2), pp.105~127 (1984)
  57. Thompson, A. G., "Handbook of research on mathematics teaching and learning", pp.127~146 (1992), Macmillan
  58. Valcke, M., "International encyclopedia of education", pp.622~628 (2010), Elsevier
  59. Vieluf, S., "Expertise in mathematics instruction", pp.295~326 (2011), Springer
  60. Wilson, M., "Beliefs: A hidden variable in mathematics education?", pp.127~148 (2002), Kluwer Academic Press

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