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The Role of “Personal Knowledge” in Solid Geometry among Primary School Mathematics Teachers

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Teachers’ personal knowledge (PK) is an element in their pedagogic-practical knowledge. This study exposes the PK of primary school mathematics teachers regarding solid geometry through reflection. Students are exposed to solid geometry on various levels, from kindergarten age and above. Previous studies attested to the fact that students encounter difficulties—strong dislike and fear engendered by geometry. A good number of teachers have strong dislike to solid geometry, as well. Therefore, those engaged in teaching the subject must address the problem and try to overcome these difficulties. In this paper we have introduced the reflective process among teachers in primary school, including application of Van-Hiele’s theory to solid geometry.

Abstract

Teachers’ personal knowledge (PK) is an element in their pedagogic-practical knowledge. This study exposes the PK of primary school mathematics teachers regarding solid geometry through reflection. Students are exposed to solid geometry on various levels, from kindergarten age and above. Previous studies attested to the fact that students encounter difficulties—strong dislike and fear engendered by geometry. A good number of teachers have strong dislike to solid geometry, as well. Therefore, those engaged in teaching the subject must address the problem and try to overcome these difficulties. In this paper we have introduced the reflective process among teachers in primary school, including application of Van-Hiele’s theory to solid geometry.

참고문헌 (35)

  1. Allen, R. M., "Evolution of Novice through Expert Teachers’ Recall: Implications for Effective on Practice", Teaching and Teacher Education, 7(13), pp.741~755 (1997)
  2. Ben-Chaim, D., "Adolescents’ ability to communicate spatial information: Analyzing and effecting students’ performance", Educ. Stud. Math., 20(2), pp.121~146 (1989)
  3. Calderhead, J., "Reflective Teaching and Teacher Education", Teaching and Teacher Education, 5(1), pp.43~51 (1989)
  4. Caplan, P., "Gender Differences in Human Cognition" (1997), Oxford University Press
  5. Clandinin, D. J., "Personal Practical Knowledge: A Study of Teacher’s Classroom Image", Calgary. University of Calgary. Curriculum Inquiry, 15(4), pp.361~385 (1987)
  6. Clandinin, D. J., "Teachers’ Professional Knowledge landscapes: Teach-ers stories- stories of teachers- school stories- stories of schools", Educational Researcher, 19(2), pp.2~11 (1996)
  7. Colom, R., "Vehicles of spatial ability", Personality and Individual Differences, 32(5), pp.903~912 (2002)
  8. Connelly, F. M., "Teachers as Curriculum Planners Narratives of Experience" (1991), Teachers College Press
  9. Connelly, F. M., "The teacher’s role in curriculum studies. in: Studies in Curriculum Decision-Making", pp.183~198 (1982), Ontario Inst. for Studies in Education
  10. Creswell, J. W., "Qualitative inquiry and Research design; choosing among five traditions" (1998), Sage Publication Ltd.
  11. Creswell, J. W., "Research design: Qualitative, quantitative, and mixed methods approaches" (2003), Sage Publication Ltd.
  12. Elbaz, F. L., "Teacher Thinking: A Study of Practical Knowledge" (1983), Croom-Helm
  13. Fuys, D., "The Van-Hiele model of thinking in geometry among adolescents", Journal for Research in Mathematics Education Monograph, 3 (1988)
  14. Gardner, H., "Frames of mind: The theory of multiple intelligences" (1983), Basic Books
  15. Görn, L., "Expert judgment as evaluation data. in: Handbook of Curricu-lum Evaluation" (1977), UNESCO
  16. Gutierrez, A., "An alternative paradigm to evaluate the acquisition of the van Hiele levels", J. Res. Math. Educ., 22(3), pp.237~251 (1991)
  17. Halat, E., "Van-Hiele Levels of Pre- and In-Service Turkish Elementary School Teachers and Gender Related Difference in Geometry", The Mathematics Educator, 11(1), pp.143~158 (2008)
  18. Halpern, F. D., "Sex, Brains & Hands — Gender Differences in Cognitive Abilities", Skeptic, 2(3), pp.96~103 (2005)
  19. Kinach, B. M., "Developing prospective teachers’ pedagogical content knowledge in the secondary mathematics methods course", Paper presented at the Annual Meeting of the American Educational Research Association (AERA) (1998)
  20. Knight, K. C., "An investigation into the change in the Van-Hiele level of understanding geometry of pre-service elementary and secondary mathematics teachers", 석사, pp.2006
  21. Linn, M. C., "Emergence and characterization of sex differences in spatial ability: A meta-analysis", Child Development, 56(6), pp.1479~1498 (1985)
  22. Louden, W., "Understanding Reflection through Collaboratory Research. in: Understanding Teacher Development", pp.178~215 (1992), Teacher College Press, Columbia University
  23. Mason, M. M., "The Van-Hiele model of geometric understanding and mathematically talented students", Journal for the Education of the Gifted, 21(1), pp.39~53 (1997)
  24. National Council of Teachers of Mathematics (NCTM), "Curriculum and Evaluation Standards for School Mathematics", pp.48~50 (1989), National Council of Teachers of Mathematics Reston
  25. National Council of Teachers of Mathematics (NCTM), "Curriculum and Evaluation Standards for School Mathematics’ Geometry in the Middle Grades", pp.4~7 (1992), National Council of Teachers of Mathematics
  26. National Council of Teachers of Mathematics (NCTM), "Professional Standards for Teaching Mathematics" (1991), National Council of Teachers of Mathematics
  27. National Council of Teachers of Mathematics (NCTM.), "Principles and standards for school mathematics" (2000), NCTM
  28. Ross, D. D., "Reflective Teaching for Student Empowerment" (1993), McMillan Publishing Co.
  29. Schön, D. A., "The Reflective Practitioner: How Professionals Think in Action" (1983), Basic Books
  30. Schön, D. A., "Educating the Reflective Practitioner" (1987), Joss-Bass Publishers
  31. Shulman, L. S., "Knowledge and Teaching: Foundation of the New Reform", Harvard Educational Review, 57(1), pp.1~22 (1987)
  32. Sorby, S. A., "Introduction to 3D Spatial Visualization" (2002), Cengage Learning
  33. Van-Hiele, P. M., "Developing Geometric Thinking through Activities That Begin With Play", Teaching Children Mathematics, 5(6), pp.310~318 (1999)
  34. Zeichner, K. M., "Research in teacher thinking and different views of reflective practice in teaching and teacher education. in: Teachers’ mind and actions: Research on teachers’ thinking and practice", pp.9~27 (1994), The Falmer Press
  35. Zeichner, K. M., "Reflective Teaching an Introduction" (1996), Lawrence Erlbaum Associates Publishers

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