School Mathematics (대한수학교육학회지:학교수학)

The Korea Society of Educational Studies in Mathematics (대한수학교육학회)
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Development of the Attitudes toward Mathematics Inventory based on Perry Scheme and Langer's Mindfulness

수학에 대한 태도 검사도구 개발 연구 - Perry의 발달도식과 Langer의 마인드풀니스를 기반으로 -

  • Received : 2017.11.10
  • Accepted : 2017.12.22
  • Published : 2017.12.29
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Abstract

In this study, instruments were developed to measure of mathematics attitudes by conceptualization of epistemological beliefs as a cognitive dimension, mindfulness as a conative dimension, affect as an affective dimension. Perry's epistemological development scheme and Langer's mindfulness theory was noticed as a theoretical approach. Exploratory factor and confirmatory factor analyses, and a reliability test were assessed. This article suggest a new framework for analysing attitudes toward mathematics and changes in attitudes toward mathematics.

본 연구에서는 수학에 대한 태도를 인지적 차원의 인식론적 신념과 능동적 차원의 행동 의도, 정서적 차원의 감정으로 개념화하여, 수학에 대한 태도를 측정하기 위한 검사도구를 개발하고 타당화하였다. 인지적 차원의 수학에 대한 인식론적 신념과 능동적 차원의 수학에 대한 마인드풀니스의 하부구인을 구성하기 위하여 Perry의 인식론적 신념 발달도식과 Langer의 마인드풀니스 이론을 고찰하였다. 예비조사와 본조사를 거쳐 신뢰도와 탐색적 확인적 요인분석을 실시한 결과, 본 연구에서 개발한 검사도구는 수학에 대한 태도를 측정하기에 적합함을 확인할 수 있었다. 본 연구에서 개발한 수학에 대한 태도 측정 검사도구는 수학적 지식을 수동적으로 암기하는 수학 교수학습 상황을 진단하고 그 대안을 모색하기 위한 새로운 관점의 분석적 틀을 제공할 수 있을 것이다.

Keywords

References

  1. 김민강(2003). 수학영재의 신념, 태도 및 정서적 특성에 관한 연구. 서울대학교 대학원 석사학위논문.
  2. 김부미(1996). 교사변인과 학생의 수학적 태도에 관한 연구. 이화여자대학교 교육대학원 석사학위논문.
  3. 김부미, 김수진(2012). 중학생의 수학에 대한 태도 측정 도구 개발 및 특성 분석. 교과교육학연구, 16, 1229-1252.
  4. 박선화, 김명화, 주미경(2010). 수학에 대한 정의적 특성 향상 방안 연구. 한국교육과정평가원 연구보고 RRI, 9, 2010-9.
  5. 백수연(1999). 성취수준에 따른 남녀학생의 수학에 대한 태도 연구. 이화여자대학교 교육대학원 석사학위논문.
  6. 상경아, 곽영순, 박지현, 박상욱(2016). 수학.과학 성취도 추이변화 국제비교 연구: TIMSS 2015 결과 분석. 한국교육과정평가원 연구보고 PRE 2016-15-1.
  7. 서울대학교 교육연구소(1995). 교육학용어사전. 서울: 하우동설.
  8. 양명희. (2004). 태도의 요인구조에 대한 경험적 접근: 수학에 대한 태도를 중심으로. 교육학연구, 42, 619-641.
  9. 윤성경(2004). 초등학생의 성격유형과 수학적 태도 및 학업성취도와의 관계 연구. 부산교육대학교 석사학위논문.
  10. 이규희, 이지현, 최영기(2016). Perry의 인식론적 신념 발달도식의 수학교육 적용 방안 연구. 수학교육학연구, 26(4), 683-700.
  11. 이민찬; 길양숙(1998). 수학 학습에 영향을 미치는 정의(情意)적 특성의 학년별 변화 및 성별 성취 집단별 차이. A-수학교육, 37(2), 147-158.
  12. 이순묵(2000). 요인분석의 기초. 서울: 교육과학사.
  13. 이종희, 김부미(2010). 수학 학습 동기와 귀인의 측정 도구 개발 및 분석. 수학교육학연구, 20(3), 413-444.
  14. 이종희, 김선희(2010). 중.고등학교 학생들의 수학 정의적 성취의 차이 분석. 교과교육학연구, 14, 759-785.
  15. 이종희, 김선희, 김수진, 김기연, 김부미, 윤수철, 김윤민(2011). 수학 학습에 대한 정의적 성취 검사 도구 개발 및 검증. A-수학교육, 50(2), 247-261.
  16. 이환철, 김형원, 이지혜, 이현숙, 고호경(2017). 수학학습 정의적 영역 검사 도구 개발 연구. 학교수학, 19(2), 267-287.
  17. 임성환, 황우형(2010). 초등학교 수학영재와 일반 학생의 귀인성향과 수학에 대한 태도와의 관계. E-수학교육 논문집, 24(2), 415-444.
  18. 임효신(2015). 중학생 진로개발역량 검사도구 개발. 서울대학교 박사학위논문.
  19. 홍세희(2000). 구조 방정식 모형의 적합도 지수 선정기준과 그 근거. Korean Journal of Clinical Psychology, 19(1), 161-177.
  20. Ahire, S. L., & Devaraj, S. (2001). An empirical comparison of statistical construct validation approaches. IEEE Transactions on Engineering Management, 48(3), 319-329. https://doi.org/10.1109/17.946530
  21. Aiken Jr, L. R. (1970). Attitudes toward mathematics. Review of educational research, 40(4), 551-596. https://doi.org/10.3102/00346543040004551
  22. Alro, H., & Skovsmose, O. (1996). On the right track. For the Learning of Mathematics, 16(1), 2-22.
  23. Ajzen, I. (1988). Attitudes, Personality and Behavior, Open University Press, Milton Keynes.
  24. Bentler, P. M. (1990). Comparative fit indexes in structural models. Psychological Bulletin, 107(2), 238-246. https://doi.org/10.1037/0033-2909.107.2.238
  25. Bentler, P. M., & Bonett, D. G. (1980). Significance tests and goodness of fit in the analysis of covariance structure. Psychological Bulletin, 88, 588-606. https://doi.org/10.1037/0033-2909.88.3.588
  26. Bodner, T. E., & Langer, E. J. (2001, June). Individual differences in mindfulness: the mindfulness/ mindlessness scale. In Poster presented at the 13th annual American Psychological Society Convention, Toronto, Ontario, Canada.
  27. Brown, K. W., & Ryan, R. M. (2003). The benefits of being present: mindfulness and its role in psychological well-being. Journal of Personality and Social Psychology, 84, 822-848. https://doi.org/10.1037/0022-3514.84.4.822
  28. Browne, M. W., & Cudeck, R. (1993). Alternative ways of assessing model fit. in K. A. Bollen & J. S. Long (Eds.), Testing structural equations models. Newbury Park, CA: Sage, 136-162.
  29. Buehl, M. M. (2003). At the crossroads of epistemology and motivation: Modeling the relations between students' domain-specific epistemological beliefs, achievement motivation, and task performance.
  30. Crocker, L., & Algina, J. (1986). Introduction to classical and modern test theory. Holt, Rinehart and Winston, 6277 Sea Harbor Drive, Orlando, FL 32887.
  31. Di Martino, P., & Zan, R. (2001, August). Attitude toward mathematics: some theoretical issues. In PME CONFERENCE, 2, 3-351.
  32. Diaz-Obando, E., Plasencia-Cruz, I., & Solano-Alvarado, A. (2003). The impact of beliefs in student's learning: An investigation with students of two different contexts. International Journal of Mathematical Education in Science and Technology, 34(2), 161-173. https://doi.org/10.1080/0020739031000071476
  33. Eagly, A. H., & Chaiken, S. (1993). The psychology of attitudes. Harcourt Brace Jovanovich College Publishers.
  34. Fishbein, M. & Ajzen, I.(1975). Belief, Attitude, Intention, and Behaviour: An Introduction to Theory and Research. Addison-Wesley Publishing Company.
  35. Flores, A. (2006). How do students know what they learn in middle school mathematics is true?. School science and mathematics, 106(3), 124-132. https://doi.org/10.1111/j.1949-8594.2006.tb18169.x
  36. Frank, M. L. (1988). Problem Solving and Mathematical Beliefs. Arithmetic teacher, 35(5), 32-34.
  37. Garofalo, J. (1989). Beliefs and their influence on mathematical performance. The Mathematics Teacher, 82(7), 502-505.
  38. Hofer, B. K., & Pintrich, P. R. (1997). The development of epistemological theories: Beliefs about knowledge and knowing and their relation to learning. Review of Educational Research, 67, 88-140. https://doi.org/10.3102/00346543067001088
  39. Hofer, B. K. (2001). Personal epistemology research: Implications for learning and teaching. Educational Psychology Review, 13(4), 353-383. https://doi.org/10.1023/A:1011965830686
  40. Langer, E. (1990). 마음챙김. (이양원 역). 서울: 동인.
  41. Langer, E. (2011). 마음의 시계. (변용란 역). 서울: 사이언스북스.
  42. Langer, E., Hatem, M., Joss, J., & Howell, M. (1989). Conditional teaching and mindful learning: The role of uncertainty in education. Creativity Research Journal, 2(3), 139-150. https://doi.org/10.1080/10400418909534311
  43. Langer, E. J. (1993). A mindful education. Educational Psychologist, 28(1), 43-50. https://doi.org/10.1207/s15326985ep2801_4
  44. Langer, E. J. (2000). Mindful learning. Current directions in psychological science, 9(6), 220-223. https://doi.org/10.1111/1467-8721.00099
  45. Langer, E. J., & Moldoveanu, M. (2000). The construct of mindfulness. Journal of social issues, 56(1), 1-9. https://doi.org/10.1111/0022-4537.00148
  46. Langer, E. J., Piper, A. I. (1987). The prevention of mindlessness. Journal of Personality and Social Psychology, 53(2), 280-287. https://doi.org/10.1037/0022-3514.53.2.280
  47. Langer, E., Hatem, M., Joss, J., & Howell, M. (1989). Conditional teaching and mindful learning: The role of uncertainty in education. Creativity Research Journal, 2(3), 139-150. https://doi.org/10.1080/10400418909534311
  48. Lim, S. Y., & Chapman, E. (2013). Development of a short form of the attitudes toward mathematics inventory. Educational Studies in Mathematics, 82(1), 145-164. https://doi.org/10.1007/s10649-012-9414-x
  49. Maio, G., & Haddock, G. (2014). The psychology of attitudes and attitude change. Sage.
  50. Ma, X., & Kishor, N. (1997). Assessing the relationship between attitude toward mathematics and achievement in mathematics: A metaanalysis. Journal for research in mathematics education, 26-47.
  51. McLeod, D. B. (1987). A constructivist approach to research on attitude toward mathematics. Proceedings of the 21st PME, 1, 133-140.
  52. Muis, K. R. (2004). Personal epistemology and mathematics: A critical review and synthesis of research. Review of educational research, 74(3), 317-377. https://doi.org/10.3102/00346543074003317
  53. Nunnally, J. C. (1967). Psychometric Theory. New York, NY: McGraw Hill.
  54. Perry, W. G., Jr. (1968). Patterns of development in thought and values of students in a liberal arts college: A validation of a scheme. Cambridge, MA: Bureau of Study Counsel, Harvard University. (ERIC Document Reproduction Service No. ED 024315)
  55. Perry, W. G., Jr. (1970). Forms of intellectual and ethical development in the college years: A scheme. New York: Holt, Rinehart & Winston.
  56. Perry, W., & Chickering, A. (1997). Cognitive and ethical growth: The making of meaning. College student development and academic life, 4, 48-116.
  57. Schoenfeld, A. H. (1985). Mathematical problem solving. New York: Academic Press.
  58. Schommer, M. (1990). Effects of beliefs about the nature of knowledge on comprehension. Journal of Educational Psychology, 82, 498-504. https://doi.org/10.1037/0022-0663.82.3.498
  59. Schukajlow, S., Leiss, D., Pekrun, R., Blum, W., Muller, M., & Messner, R. (2012). Teaching methods for modelling problems and students' task-specific enjoyment, value, interest and self-efficacy expectations. Educational studies in mathematics, 79(2), 215-237. https://doi.org/10.1007/s10649-011-9341-2
  60. Sherman, A. C. (2006). Development of the Langer Mindfulness Scale - Youth Version. Unpublished doctoral dissertation. Pacific Graduate School of Psychology.
  61. Palo Alto, CA. Sternberg, R. (2000). Image of mindfulness. Journal of Social Issues, 56(1), 11-26. https://doi.org/10.1111/0022-4537.00149
  62. Thurstone, L. L. (1931). The measurement of social attitudes. The journal of abnormal and social psychology, 26(3), 249. https://doi.org/10.1037/h0070363
  63. Triandis, H. C. (1971). Attitude and Attitude Change. Wiley and Sons Inc, New York.
  64. Tsai, C. C. (2002). Nested epistemologies: Science teachers' beliefs of teaching, learning and science. International Journal of Science Education, 24(8), 771-783. https://doi.org/10.1080/09500690110049132
  65. Tulis, M. (2013). Error management behavior in classrooms: Teachers' responses to student mistakes. Teaching and Teacher Education, 33, 56-68. doi:10.1016/j.tate.2013.02.003.
  66. White, B. C. (2000). Pre-service teachers' epistemology viewed through perspectives on problematic classroom situations. Journal of Education for Teaching: International Research and Pedagogy, 26(3), 279-305. https://doi.org/10.1080/713676891
  67. White, O. L. (2007). An investigation into the utilization of a constructivist teaching strategy to improve preservice elementary teachers geological content knowledge: Is there a relationship between intellectual level and content understanding?. ProQuest.
  68. Zan, R., Brown, L., Evans, J., & Hannula, M. S. (2006). Affect in mathematics education: An introduction. Educational studies in mathematics, 63(2), 113-121. https://doi.org/10.1007/s10649-006-9028-2