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The Story of a South Korean Elementary Teacher’s Knowledge of Mathematics Curriculum

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The aim of the case study presented in this paper was to explore mathematics curriculum knowledge of a South Korean elementary teacher. An in-depth case study is applied to examine mathematics curriculum knowledge that influences teachers’ instructional process including analysis of diverse artifacts such as lesson plan, observation and interviews. Findings of this study suggest that mathematics curriculum knowledge has direct relevance to teaching a lesson, designing a lesson and assessing students’ work. In addition, this study identified that mathematics curriculum knowledge may be divided into two sub-categories: vertical mathematics curriculum knowledge and horizontal mathematics curriculum knowledge. The results of this case study help our understanding of South Korean elementary teachers’ mathematics curriculum knowledge, which has a deep impact on their teaching practice. Moreover, this cross-national research offers implications for researchers, policymakers, and teachers in U.S. as well as those in South Korea.

Abstract

The aim of the case study presented in this paper was to explore mathematics curriculum knowledge of a South Korean elementary teacher. An in-depth case study is applied to examine mathematics curriculum knowledge that influences teachers’ instructional process including analysis of diverse artifacts such as lesson plan, observation and interviews. Findings of this study suggest that mathematics curriculum knowledge has direct relevance to teaching a lesson, designing a lesson and assessing students’ work. In addition, this study identified that mathematics curriculum knowledge may be divided into two sub-categories: vertical mathematics curriculum knowledge and horizontal mathematics curriculum knowledge. The results of this case study help our understanding of South Korean elementary teachers’ mathematics curriculum knowledge, which has a deep impact on their teaching practice. Moreover, this cross-national research offers implications for researchers, policymakers, and teachers in U.S. as well as those in South Korea.

참고문헌 (60)

  1. Anderson, H., "A missing piece in an elementary school mathematics teacher's knowledge base", Teacher Education, 12(2), pp.17~23 (2003)
  2. An. S., "The pedagogical content knowledge of middle school, mathematics teachers in China and the U.S", Journal of mathematics teacher education, pp.145~172 (2004)
  3. Anfara, V, A., "Qualitative Analysis on Stage: Making the research process more public", Educational Researcher, 31(7), pp.28~38 (2002)
  4. Ball. D. L., "Knowledge and reasoning in mathematical pedagogy: examining what prospective teachers bring to teacher education", doctor, pp.1988
  5. Ball. D. L., "With an eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics", Elementary School Journal, 93(4), pp.373~397 (1993)
  6. Ball, D. L., "Multiple perspective on mathematics teaching and learning", pp.83~104 (2000), Ablex
  7. Ball, D. L., "Handbook of research on teaching", pp.433~456 (2001), Macmillan
  8. Ball, D. L., "Content knowledge for teaching: What makes it special?", Journal of Teacher Education, 59(5), pp.389~407 (2008)
  9. Bass, H., "Mathematics, mathematicians and mathematics education", Bulletin of the American Mathematical Society, 42(4), pp.417~430 (2005)
  10. Bell, C, A., "Measuring the effects of professional development : The case of developing mathematical ideas", Journal for Research in Mathematics Education, 41(5), pp.479~ (2010)
  11. Borko, H., "Handbook of educational psychology", pp.637~708 (1996), Macmillan
  12. Brophy, J., "Psychology and educational practice", pp.212~243 (1997), McCutchan
  13. Cai, J, "U. S. and Chinese teachers’constructing, knowing, and evaluating representations to teach mathematics", Mathematical Thinking and Learning an International Journal, 7(2), pp.135~169 (2005)
  14. Carpenter, T. P., "Using knowledge of children’s mathematics thinking in classroom teaching : An experimental study", American Educational Research Journal, 26, pp.499~531 (1989)
  15. Carpenter, T. P., "A longitudinal study of invention and understanding in children’s multidigit addition and subtraction", Journal for Research in Mathematics Education, 29, pp.3~20 (1998)
  16. Castro, A. M, "Preparing Elementary Preservice Teachers to Use Mathematics Curriculum Materials", The Mathematics Educator, 16(2), pp.14~24 (2006)
  17. Chinnappan, M., "A framework for analysis of teachers’ geometric content knowledge and geometric knowledge for teaching", Journal of Mathematics Teacher Education, 8(3), pp.197~221 (2005)
  18. "Common Core State Standards for Mathematics" (2010)[URL]
  19. Delaney, S., ""Mathematical knowledge for teaching" : Adapting U. S. measures for use in Ireland", Journal of Mathematics Teacher Education, 11(3), pp.171~197 (2008)
  20. Donovan, M. S., "How students learn: Mathematics in the classroom" (2005), National Academies Press
  21. Empson, S. B., "Teacher's knowledge of children's mathematics after implementing a student-centered curriculum", Journal of Mathematics Teacher Education, 7, pp.121~144 (2004)
  22. Even, R, "Subject matter knowledge and pedagogical content knowledge : Prospective secondary teachers and the function concepts", Journal for Research in Mathematics Education, 24, pp.94~116 (1993)
  23. Fennema, E., "Advances in research on teaching Vol.1", pp.195~221 (1989), JAIPress
  24. Fennema, E., "Mathematics classrooms that promote understanding" (1999), Lawrence Erlbaum
  25. Hiebert, J., "Learning and teaching with understanding. Handbook of Research on Mathematics Teaching and Learning" (1992), Macmillan Publishing Company
  26. Hill, H. C., "Mathematical knowledge for teaching and the mathematical quality of instruction: An exploratory study", Cognition and Instruction, pp.430~511 (2008)
  27. Hill, H. C., "Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers’ topic specific knowledge of students", Journal for research in Mathematics Education, pp.372~400 (2005)
  28. Hill, H. C, "Developing measures of teachers’ mathematics knowledge for teaching", Elementary School Journal, 105, pp.11~30 (2004)
  29. Hill, H. C., "Mathematical knowledge for teaching and the mathematical quality of instruction : An exploratory study", Cognition and Instruction, 26(4), pp.430~511 (2008)
  30. Hill, H. C., "Effects of teachers' mathematical knowledge for teaching on student achievement", American Educational Research Journal, 42(2), pp.371~406 (2005)
  31. Izsák, A., "Mathematical Knowledge for Teaching Fraction Multiplication", Cognition and Instruction, 26, pp.95~143 (2008)
  32. Kahan, J. A., "The role of mathematics teachers'content knowledge in their teaching: A framework for research applied to a study of student teachers", Journal of Mathematics Teacher Education, 6, pp.223~252 (2003)
  33. "The change of the proportion of female teachers from 1990 to 2011" (2012)[URL]
  34. Kennedy, M. M., "A study package for examining and tracking changes in teachers' knowledge", pp.1993, The National Center for Research on Teacher Education
  35. Kılıç, H., "Preservice Secondary Mathematics Teachers’ Knowledge of Students", Turkish Online Journal of Qualitative Inquiry, 2(2), pp.17~36 (2011)
  36. Kim, R, Y., "Knowledge Expectations in Mathematics Teacher Preparation Programs in South Korea and the United States: Towards International Dialogue", Journal of Teacher Education, 62(1), pp.48~61 (2011)
  37. Kleve, B, "Contingent moments in a lesson on fractions", Research in Mathematics Education, 12(2), pp.157~158 (2010)
  38. Kulm, G., "Curriculum research to improve teaching and learning : national and cross-national studies", ZDM Mathematics Education, 41, pp.709~715 (2009)
  39. Leinhardt, G., "Advances in instructional psychology Vol.4", pp.1~54 (1993), Lawrence Erlbaum Associates, Inc
  40. Li, Y., "Chinese elementary mathematics teachers’ knowledge in mathematics and pedagogy for teaching: The case of fraction division", ZDM, 40(5), pp.845~859 (2008)
  41. Lloyd, G. M, "Curriculum use while learning to teach: one student teacher’s appropriation of mathematics curriculum materials", Journal for Research in Mathematics Education, 39(1), pp.63~94 (2008)
  42. Ma, L. L., "Knowing and teaching elementary mathematics: Teachers understanding o ffundamental mathematics in China and the United States" (1999), Erlbaum
  43. McLellan, J. A., "The psychology of number and its applications to methods of teaching arithmetic" (1895), D.Appleton
  44. Morris, A. K., "Mathematical knowledge for teaching in planning and evaluating instruction: What can preservice teachers learn?", Journal for Research in Mathematics Education, 40, pp.491~529 (2009)
  45. Ng, D, "Indonesian primary teachers'mathematical knowledge for teaching geometry:Implications for educational policy and teacher preparation programs", Asia-Pacific Journal of Teacher Education, 39(2), pp.151~164 (2011)
  46. Peterson, P. L, "Advances in research on teaching Vol.2", pp.49~86 (1991), JAI Press
  47. "Globally Challenged:Are U. S. Students Ready to Compete? Harvard’s Program on Education Policy &Governance (PEPG)" (2011)[URL]
  48. Polly, D, "Developing teachers' technological, pedagogical, and content knowledge (TPACK)through mathematics professional development", International Journal for Technology In Mathematics Education, 18(2), pp.83~95 (2011)
  49. Polya. G., "How to solve it" (1957), Doubleday Anchor Books
  50. Rivers, J. C., "Teacher quality", pp.13~23 (2002), Stanford, CA
  51. Rossman, G.B., "Learning in the Field: An Introduction to Qualitative Research" (2003), SAGE Publications
  52. Rowland, T., "Elementary teachers’ mathematics subject knowledge: The knowledge quartet and the case of Naomi", Journal of Mathematics Teacher Education, (3), pp.255~281 (2005)
  53. Santiban ̃ez, L., "Why we should care if teachers get A’s: Teacher test scores and student achievement in Mexico", Economics of Education Review, 25, pp.510~520 (2005)
  54. Shulman, L., "Knowledge and teaching:Foundations of the new reform", Harvard Educational Review, 57(1), pp.1~22 (1987)
  55. Stigler, J. W., "Theories of mathematics learning", pp.149~177 (1996), Lawrence Erlbaum Associates, Inc
  56. Stylianides, A. J., "Understanding and describing mathematical knowledge for teaching: Knowledge about proof for engaging students in the activity of proving", Journal of Mathematics Teacher Education, 11, pp.307~332 (2008)
  57. Tanase, M., "Teaching place value concepts to first grade Romanian students: Teacher knowledge and its influence on student learning", International Journal for Mathematics Teaching and Learning (2011)
  58. Turner, F, "Beginning elementary teachers’use of representations in mathematics teaching", Research in Mathematics Education, 10(2), pp.209~210 (2008)
  59. "The National Common Basic Curriculum" (2011)[URL]
  60. Wertheimer, M., "Productivet hinking" (1959), Harper&Row

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