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수학교사의 신념, 교실 규범 및 교실 담화가 교실 내의 공정성에 미치는 영향 연구
Teachers' Beliefs, Classroom Norms and Discourse, and Equity in Mathematics Classrooms 원문보기

Journal of the Korean Society of Mathematical Education. Series C : Education of primary school mathematics, v.21 no.2, 2018년, pp.163 - 192  

황성환 (보스턴 대학교)

초록
AI-Helper 아이콘AI-Helper

본 연구의 목적은 수학교사의 신념, 교실 규범 및 교실 담화가 교실 내의 공정성에 미치는 영향을 연구하는 것이다. 이를 위해 동일한 학교에 근무하는 세 명의 초등 교사의 신념과 수학 수업을 다음과 같이 분석하였다. 첫째, 교사의 수학 교수 학습에 대한 신념과 교실 내 학생들의 수학적 능력과 흥미에 관한 신념을 인터뷰를 통해 분석을 하였다. 둘째, 수학 교실 내의 교실사회규범과 (Classroom social norms) 사회수학적 규범 (Sociomathematics norms)을 탐험적 사례분석 (Exploratory case study) 방법을 통해 분석을 하였다. 셋째, 교실 담화의 주체와 목적을 분석하기 위해 카이 자승 검증을 (Chi-square test) 실시하였으며, 각 교실간의 차이점과 유사점을 비교 분석하였다. 넷째, 수학교사의 신념, 교실 규범 및 교실 담화를 종합적으로 분석하여 교실 내 낮은 학업성취도를 가진 소외된 학생들이 (Marginalized low-achieving students) 어떻게 '수학을 하는 학생으로서'의 (doers of mathematics) 정체성을 형성해가고 이것이 어떻게 교실 내의 공정성에 영향을 미치는지를 분석하였다. 분석결과 교사가 학생들의 수학적 탐구과정에 관심을 갖고 개개인의 능력과 참여를 고려해서 수학수업을 구성할 때 소외된 학생들이 긍정적인 자아를 형성하였으며 교실 내의 공정성이 향상되는 것으로 나타났다. 하지만, 교사가 학생의 수학적 흥미나 수학적 정확성에만 관심을 갖고 교사가 제시한 수학적 절차만을 사용하여 정확한 한 개의 답을 구하도록 지도할 경우 수학적 개념을 학원에서 미리 배워서 알고 있거나 기존에 높은 학업성취도를 가진 학생들만이 (Dominant high-achievers) 수학수업에 참여하는 것으로 나타났다. 이런 점에서 본 연구는 수학 교사의 신념, 교실 규범 및 교실 담화가 교실 내의 공정성을 미치는 영향을 조사 하는 연구에 시사점을 제시하고 있다.

Abstract AI-Helper 아이콘AI-Helper

The purpose of this study was to examine the relations among mathematics teachers' beliefs, classroom norms and discourse, and equity issues in mathematics classrooms. In order to achieve this purpose, three teachers who work in the same school were analyzed. The analysis revealed that the participa...

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참고문헌 (84)

  1. Alba, A. (2001). An analysis of secondary mathematics teachers' beliefs and classroom practices in relationship to the NCTM standards. Unpublished Doctoral Dissertation, University of Connecticut. 

  2. Ambrose, R. (2004). Initiating change in prospective elementary school teachers’ orientations to mathematics teaching by building on beliefs. Journal of Mathematics Teacher Education, 7(2), 91-119. 

  3. Apple, M. W. (1979). Ideology and curriculum. London: Routledge & Kegan Paul. 

  4. Ball, D. L. (1991). What's All This Talk about" Discourse"? The Arithmetic Teacher, 39(3), 44. 

  5. Berne, R., & Stiefel, L. (1984). The measurement of equity in school finance: Conceptual, methodological and empirical dimensions. Johns Hopkins University Press. 

  6. Bishop, J. P. (2012). "She's Always Been the Smart One. I've Always Been the Dumb One": Identities in the Mathematics Classroom. Journal for Research in Mathematics Education, 43(1), 34. 

  7. Boaler, J., & Greeno, J. G. (2000). Identity, agency, and knowing in mathematics worlds. In Multiple perspectives on mathematics teaching and learning (pp. 171-200). 

  8. Brown, M. W. (2009). The teacher-tool relationship: Theorizing the design and use of curriculum materials. In J. T. Remillard, B. A. Herbel-Eisenmann, & G. M. Lloyd (Eds.), Mathematics teachers at work: Connecting curriculum materials and classroom instruction (pp. 17-36). New York: Routledge. 

  9. Cobb, P., Boufi, A., McClain, K., & Whitenack, J. (1997). Reflective Discourse and Collective Reflection. Journal for Research in Mathematics Education, 28(3), 258. https://doi.org/10.2307/749781 

  10. Cobb, P., Gresalfi, M., & Hodge, L. L. (2009). An interpretive scheme for analyzing the identities that students develop in mathematics classrooms. Journal for Research in Mathematics Education, 40-68. 

  11. Cobb, P., & Hodge, L. L. (2010). Culture, identity, and equity in the mathematics classroom. In A journey in mathematics education research (pp. 179-195). Springer. 

  12. Cohen, E. G., & Lotan, R. A. (1995). Producing equal-status interaction in the heterogeneous classroom. American Educational Research Journal, 32(1), 99-120. 

  13. Crenshaw, K. W. (1988). Race, Reform, and Retrenchment: Transformation and Legitimation in Antidiscrimination Law. Harvard Law Review, 101(7), 1331. https://doi.org/10.2307/1341398 

  14. Creswell, J. W., & Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches. Sage publications. 

  15. Cross, D. I. (2009). Alignment, cohesion, and change: Examining mathematics teachers’ belief structures and their influence on instructional practices. Journal of Mathematics Teacher Education, 12(5), 325-346. 

  16. Dames, B., & Harre, R. (2001). Positioning: The discursive production of selves. Discourse Theory and Practice: A Reader, 20, 261. 

  17. Darling-Hammond, L. (2000). Teacher quality and student achievement. Education Policy Analysis Archives, 8, 1. 

  18. De Freitas, E., & Zolkower, B. (2009). Using social semiotics to prepare mathematics teachers to teach for social justice. Journal of Mathematics Teacher Education, 12(3), 187-203. 

  19. Deng, Z., & Luke, A. (2008). Subject Matter: Defining and Theorizing School Subjects. In The SAGE Handbook of Curriculum and Instruction (pp. 66-88). 2455 Teller Road, Thousand Oaks California 91320 United States: SAGE Publications, Inc. 

  20. Esmonde, I. (2012). Mathematics learning in groups: Analysing equity within an activity structure. In Equity in Discourse for Mathematics Education (pp. 51-67). Springer. 

  21. Esmonde, I. (2014). "Nobody's Rich and Nobody's Poor... It Sounds Good, but It's Actually Not": Affluent Students Learning Mathematics and Social Justice. Journal of the Learning Sciences, 23(3), 348-391. 

  22. Fraenkel, J. R., Wallen, N. E., & Hyun, H. H. (1993). How to design and evaluate research in education (Vol. 7). McGraw-Hill New York. 

  23. Francis, D. I. C. (2015). Dispelling the notion of inconsistencies in teachers’ mathematics beliefs and practices: A 3-year case study. Journal of Mathematics Teacher Education, 18(2), 173-201. 

  24. Franke, M. L., Kazemi, E., & Battey, D. (2007). Mathematics teaching and classroom practice. Second Handbook of Research on Mathematics Teaching and Learning, 1(1), 225-256. 

  25. Fredricks, J. A., Blumenfeld, P. C., &Paris, A. H. (2004). School engagement: Potential of the concept, state of the evidence. Review of educational research, 74(1), 59-109. 

  26. Freire, P. (1970). Pedagogy of the Oppressed, trans. Myra Bergman Ramos. New York: Continuum, 65-80. 

  27. Gaffney, A. M. (2014). Change in experienced teachers' pedagogical beliefs through learning elementary mathematics content. RIVIER UNIVERSITY. 

  28. Gardner, D. P., Larsen, Y. W., Baker, W., Campbell, A., & Crosby, E. A. (1983). A nation at risk: The imperative for educational reform. United States Department of Education. 

  29. Gee, J. P. (2011). An introduction to discourse analysis: theory and method (3rd ed). Milton Park, Abingdon ; New York: Routledge. 

  30. Gutierrez, R. (2002). Enabling the Practice of Mathematics Teachers in Context: Toward a New Equity Research Agenda. Mathematical Thinking and Learning, 4(2-3), 145-187. 

  31. Gutierrez, R. (2007). Context matters: Equity, success, and the future of mathematics education. In Proceedings of the 29th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1-18). University of Nevada, Reno Stateline (Lake Tahoe), NV. 

  32. Gutstein, E. (2003). Teaching and Learning Mathematics for Social Justice in an Urban, Latino School. Journal for Research in Mathematics Education, 34(1), 37. https://doi.org/10.2307/30034699 

  33. Handal, B., & Herrington, A. (2003). Mathematics teachers’ beliefs and curriculum reform. Mathematics Education Research Journal, 15(1), 59-69. 

  34. Hanna, G. (2003). Reaching Gender Equity in Mathematics Education. The Educational Forum, 67(3), 204-214. 

  35. Henningsen, M., & Stein, M. K. (1997). Mathematical Tasks and Student Cognition: Classroom-Based Factors That Support and Inhibit High-Level Mathematical Thinking and Reasoning. Journal for Research in Mathematics Education, 28(5), 524. 

  36. Hiebert, J., Stigler, J. W., Jacobs, J. K., Givvin, K. B., Garnier, H., Smith, M.,... Gallimore, R. (2005). Mathematics teaching in the United States today (and tomorrow): Results from the TIMSS 1999 video study. Educational Evaluation and Policy Analysis, 27(2), 111-132. 

  37. Hiebert, J., & Wearne, D. (1993). Instructional Tasks, Classroom Discourse, and Students’ Learning in Second-Grade Arithmetic. American Educational Research Journal, 30(2), 393. 

  38. Huang, J., Normandia, B., & Greer, S. (2005). Communicating Mathematically: Comparison of Knowledge Structures in Teacher and Student Discourse in a Secondary Math Classroom. Communication Education, 54(1), 34-51. 

  39. Jackson, P. (1968). Life in Classrooms (New York: Holt, Rinehart and Winston, 1968). 

  40. Jorgensen, R. (2012). Exploring scholastic mortality among working-class and Indigenous students. In Equity in Discourse for Mathematics Education (pp. 35-49). Springer. 

  41. Kuttner, P. (2016, October 29). The problem with that equity vs. equality graphic you're using. Retrieved April 2, 2018, from http://culturalorganizing.org/the-problem-with-that-equity-vs-equality-graphic/ 

  42. Kvale, S., & Brinkmann, S. (2009). Interviews: Learning the craft of qualitative research. California, US: SAGE, 230-43. 

  43. Ladson-Billings, G. (1995). Making mathematics meaningful in multicultural contexts. New Directions for Equity in Mathematics Education, 126-145. 

  44. Ladson-Billings, G. (1997). It Doesn't Add up: African American Students' Mathematics Achievement. Journal for Research in Mathematics Education, 28(6), 697. https://doi.org/10.2307/749638 

  45. Mahn, H. (1999). Vygotsky’s Methodological Contribution to Sociocultural Theory. Remedial and Special Education, 20(6), 341-350. 

  46. Martin, D. B. (2003). Hidden assumptions and unaddressed questions in mathematics for all rhetoric. The Mathematics Educator, 13(2). 

  47. Mercado, J. (2017). Broadening Participation in Mathematics: A Study of Secondary Mathematics Teachers and Noticing for Equity (PhD Thesis). UC Irvine. 

  48. Mewborn, D. S., & Cross, D. I. (2007). Mathematics teachers' beliefs about mathematics and links to students' learning. The Learning of Mathematics, 259-269. 

  49. Mizell, J. A., & Cates, J. (2004). The Impact of Additional Content Courses on Teacher Candidates' Beliefs regarding Mathematics Content and Pedagogy. Issues in the Undergraduate Mathematics Preparation of School Teachers, 4. 

  50. Moschkovich, J. N. (2012). How equity concerns lead to attention to mathematical discourse. In Equity in Discourse for Mathematics Education (pp. 89-105). Springer. 

  51. Moses, R. P., & Cobb, C. E. (2001). Radical equations: Math literacy and civil rights. Beacon Press (MA). 

  52. Nathan, M. J., & Knuth, E. J. (2003). A Study of Whole Classroom Mathematical Discourse and Teacher Change. Cognition and Instruction, 21(2), 175-207. https://doi.org/10.1207/S1532690XCI2102_03 

  53. National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Author Reston, VA. 

  54. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics (Vol. 1). Author Reston, VA. 

  55. National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. Author Reston, VA. 

  56. Pallant, J. (2013). SPSS survival manual. McGraw-Hill Education (UK). 

  57. Parks, R., & King, C. S. (2007). Culture, race, power and mathematics education. In Second handbook of research on mathematics teaching and learning (pp. 405-433). NCTM. 

  58. Philipp, R. A. (2007). Mathematics Teachers' beliefs and affect. In Second Handbook of Research on Mathematics Teaching and Learning (pp. 257-315). Charlotte, NC: Lester Jr, F.K. 

  59. Raymond, A. M. (1997). Inconsistency between a Beginning Elementary School Teacher’s Mathematics Beliefs and Teaching Practice. Journal for Research in Mathematics Education, 28(5), 550. 

  60. Remillard, J. T. (2005). Examining key concepts in research on teachers’ use of mathematics curricula. Review of Educational Research, 75(2), 211-246. 

  61. Remillard, J. T., & Bryans, M. B. (2004). Teachers’ Orientations toward Mathematics Curriculum Materials: Implications for Teacher Learning. Journal for Research in Mathematics Education, 35(5), 352. 

  62. Reyes, L. H., & Stanic, G. M. A. (1988). Race, Sex, Socioeconomic Status, and Mathematics. Journal for Research in Mathematics Education, 19(1), 26. 

  63. Rousseau, C. K. (2004). Shared beliefs, conflict, and a retreat from reform: the story of a professional community of high school mathematics teachers. Teaching and Teacher Education, 20(8), 783-796. 

  64. Rubel, L. H. (2017). Equity-Directed Instructional Practices: Beyond the Dominant Perspective. Journal of Urban Mathematics Education, 10(2). 

  65. Secada, W. G. (1989). Agenda setting, enlightened self-interest, and equity in mathematics education. Peabody Journal of Education, 66(2), 22-56. 

  66. Schoenfeld, A. H. (2002). Making mathematics work for all children: Issues of standards, testing, and equity. Educational Researcher, 31(1), 13-25. 

  67. Sherin, M. G. (2002). A balancing act: Developing a discourse community in a mathematics classroom. Journal of Mathematics Teacher Education, 5(3), 205-233. 

  68. Skott, J. (2009). Contextualising the notion of 'belief enactment.' Journal of Mathematics Teacher Education, 12(1), 27-46. 

  69. Solomon, Y. (2008). Mathematical literacy: Developing identities of inclusion. Routledge. 

  70. Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building Student Capacity for Mathematical Thinking and Reasoning: An Analysis of Mathematical Tasks Used in Reform Classrooms. American Educational Research Journal, 33(2), 455. 

  71. Stein, M. K., Remillard, J., & Smith, M. S. (2007). How curriculum influences student learning. In In F. Lester (Ed.), Second Handbook of Research on Mathematics Teaching and Learning (319-369). Reston, VA: NCTM. 

  72. Stipek, D. J., Givvin, K. B., Salmon, J. M., & MacGyvers, V. L. (2001). Teachers’ beliefs and practices related to mathematics instruction. Teaching and Teacher Education, 17(2), 213-226. 

  73. Tate, W. F. (1997). Race-Ethnicity, SES, Gender, and Language Proficiency Trends in Mathematics Achievement: An Update. Journal for Research in Mathematics Education, 28(6), 652. 

  74. Tatto, M. T., Ingvarson, L., Schwille, J., Peck, R., Senk, S. L., & Rowley, G. (2008). Teacher Education and Development Study in Mathematics (TEDS-M): Policy, Practice, and Readiness to Teach Primary and Secondary Mathematics. Conceptual Framework. ERIC. 

  75. Vygotsky. (1986). Thought and language. Cambridge: MIT Press. 

  76. Vygotsky, L. S. (1978). Mind in society: The development of higher mental process. Cambridge, MA: Harvard University Press. 

  77. Wagner, D., & Borden, L. L. (2012). Aiming for equity in ethnomathematics research. In Equity in Discourse for Mathematics Education (pp. 69-87). Springer. 

  78. Warfield, J., Wood, T., & Lehman, J. D. (2005). Autonomy, beliefs and the learning of elementary mathematics teachers. Teaching and Teacher Education, 21(4), 439-456. 

  79. Wigfield, A., &Eccles, J. S. (2000). Expectancy-value theory of achievement motivation. Contemporary educational psychology, 25(1), 68-81. 

  80. Wiggan, G. (2007). Race, School Achievement, and Educational Inequality: Toward a Student-Based Inquiry Perspective. Review of Educational Research, 77(3), 310-333. 

  81. Wortham, S. (2004). From good student to outcast: The emergence of a classroom identity. Ethos, 32(2), 164-187. 

  82. Yackel, E., & Cobb, P. (1996). Sociomathematical Norms, Argumentation, and Autonomy in Mathematics. Journal for Research in Mathematics Education, 27(4), 458. https://doi.org/10.2307/749877 

  83. Yackel, E., &Rasmussen, C. (2002). Beliefs and norms in the mathematics classroom. Beliefs: A hidden variable in mathematics education, 31,313-330. 

  84. Yin, R. K. (2003). Case study research design and methods third edition. Applied Social Research Methods Series, 5. 

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