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Teachers’ Decision and Enactment of Their Content Knowledge Assessed Through Problem Posing - A U.S. Case

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164 preservice elementary teachers’ decision and enactment of their knowledge of fraction multiplication were examined in a context where they were asked to write a story problem for a multiplication problem with two proper fractions. Participants were selected from an entry level course and an exit level course of their teacher preparation program to reveal any differences between the groups as well as any recognizable patterns within each group and overall. Patterns and tendencies in writing story problems were identified and analyzed. Implications of the findings for teaching and teacher education are discussed

Abstract

164 preservice elementary teachers’ decision and enactment of their knowledge of fraction multiplication were examined in a context where they were asked to write a story problem for a multiplication problem with two proper fractions. Participants were selected from an entry level course and an exit level course of their teacher preparation program to reveal any differences between the groups as well as any recognizable patterns within each group and overall. Patterns and tendencies in writing story problems were identified and analyzed. Implications of the findings for teaching and teacher education are discussed

참고문헌 (33)

  1. Ball, D. L., "Prospective elementary and secondary teachers’ understanding of division", Journal for Research in Mathematics Education, 21, pp.132~144 (1990)
  2. Ball, D., "Knowing mathematics for teaching: who knows mathematics well enough to teach third grade and how can we decide?", American Educator, 29, pp.14~22 (2005)
  3. Ball, D. L., "Content knowledge for teaching: What makes it special?", Journal of Teacher Education, 59(5), pp.389~407 (2008)
  4. Barlow, A.T., "The impact of problem posing on elementary teachers’ beliefs about mathematics and mathematics teaching", School Science and Mathematics, 106(2), pp.64~73 (2006)
  5. Charalambous, C. Y., "Two negative don’t always make a positive:Exploring how limitations in teacher knowledge and the curriculum contribute to instructional quality", Journal of Curriculum Studies, 44(4), pp.489~513 (2012)
  6. Common Core State Standards Initiative, "The common core state standards for mathematics", National Governors Association Center for Best Practices and Council of Chief State School Officers, ~ (2010)
  7. Conference Board of the Mathematical Sciences, "The mathematical education of teachers, Washington", Mathematical Association of America, ~ (2001)
  8. Conference Board of the Mathematical Sciences, "The mathematical education of teachers II", Conference Board of the Mathematical Sciences, ~ (2012)
  9. Crespo, S., "Learning to pose mathematical problems: Exploring changes in pre-service teachers’practices", Educational Studies in Mathematics, 52(3), pp.243~270 (2003)
  10. Hill, H. C., "Effects of teachers’ mathematical knowledge for teaching on student achievement", American Educational Research Journal, 42(2), pp.371~406 (2005)
  11. Krathwohl, D. R., "Methods of educational and social science research: An integrated approach" (1998), Addison Wesley Longman
  12. Lampert, M, "Thinking practice", pp.53~78 (1998), Erlbaum
  13. Landis, J.R., "The measurement of observer agreement for categorical data", Biometrics, 33(1), pp.159~174 (1977)
  14. Lee, S., "Mathematics teachers' reasoning about fractions and decimals using drawn representations", Mathematical Thinking and Learning, 13(3), pp.198~220 (2011)
  15. Ma, L., "Knowing and teaching elementary mathematics: Teachers’ understandings of fundamental mathematics in China and the United States" (1999), Erlbaum
  16. McAllister, C., "Identification of error types in preservice teachers’ attempts to create fraction story problems for specified operations", School Science and Mathematics, 112(2), pp.88~98 (2012)
  17. National Council of Teachers of Mathematics, "Principles and standards for school mathematics", National Council of Teachers of Mathematics, ~ (2000)
  18. "Foundations for success: The final report of the National Mathematics Advisory Pane" (2008)[URL]
  19. National Research Council, "Adding it up: Helping children learn mathematics" (2001), National Academy Press
  20. Newton, K. J., "An extensive analysis of pre-service elementary teachers’ knowledge of fractions", American Educational Research Journal, 45(4), pp.1080~1110 (2008)
  21. Noh, J., "What does multiplying two candy bars really mean?", Educational Leadership, 71(7) (2014)
  22. Noh, J., "Teacher learning of subject matter knowledge through an educative curriculum", Journal of Educational Research, 108(4), pp.292~305 (2014)
  23. Rea, L.M., "Designing and conducting survey research" (1992), Jossey-Boss
  24. Remillard, J. T., "Mathematics teachers at work: Connecting curriculum materials and classroom instructio" (2009), Routledge
  25. Rittle-Johnson, B., "Designing knowledge scaffolds to support mathematical problem solving", Cognition and Instruction, 23(3), pp.313~349 (2005)
  26. Smith, J. P., "Misconceptions reconceived: A constructivist analysis of knowledge in transition", The Journal of the Learning Sciences, 3(2), pp.115~163 (1993)
  27. Son, J. W., "Prospective teachers’ reasoning and response to a student’s non-traditional strategy when dividing fractions", Journal of Mathematics Teacher Education, 12, pp.235~261 (2009)
  28. Thompson, P. W., "A research companion to principles and standards for school mathematics", pp.95~113 (2003), NCTM
  29. Tirosh, D., "Enhancing prospective teachers’ knowledge of children’s conceptions: The case of division of fractions", Journal for Research in Mathematics Education, 31, pp.5~25 (2000)
  30. Tirosh, D., "Evoking cognitive conflict to explore preservice teachers’ thinking about division", Journal for Research in Mathematics Education, 21, pp.98~108 (1990)
  31. Toluk-Uçar, Z., "Developing preservice teachers understanding of fractions through problem posing", Teaching and Teacher Education, 25(1), pp.166~175 (2009)
  32. Whitin, D. J., "Perspectives on the teaching of mathematics: Sixty-sixth yearbook", pp.129~140 (2004), NCTM
  33. Young, E., "Fractions operations: An examination of prospective teachers’ errors, confidence, and bias", Investigations in Mathematics Learning, 4(1), pp.1~23 (2011)

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