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Analysis of Pre-Service Teachers’ Interpretation and Utilization of Non-Textual Elements in Mathematics Curriculum Materials

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This study explores how pre-service teachers (PSTs) view, interpret, and utilize non-textual elements (NTEs) in mathematics curriculum. Fifty-two PSTs, who enrolled in a mathematics methods course at a Midwestern university in the U.S., engaged in a three-part task that consisted of evaluations and modifications of NTEs in the sample mathematics curriculum materials. We ascertain what PSTs consider to be the strengths and weaknesses of NTEs, how they define the primary goals of NTEs, and how they would work to modify or adapt existing NTEs with effective teaching in mind. By using the Curricular Noticing Framework, we can better understand how PSTs recognize opportunities within mathematics curriculum and gain a deeper understanding regarding how PSTs’ prior experiences may affect their curricular-attending habits, which has consequences for their future teaching. Findings indicate that PSTs understand NTEs to be simply a support for traditional mathematics curriculum, rather than tools on their own. Also, they tend to prefer NTEs that are familiar to them. From our findings, we draw implications for teacher educators who support PSTs’ interpretation and utilization of NTEs.

Abstract

This study explores how pre-service teachers (PSTs) view, interpret, and utilize non-textual elements (NTEs) in mathematics curriculum. Fifty-two PSTs, who enrolled in a mathematics methods course at a Midwestern university in the U.S., engaged in a three-part task that consisted of evaluations and modifications of NTEs in the sample mathematics curriculum materials. We ascertain what PSTs consider to be the strengths and weaknesses of NTEs, how they define the primary goals of NTEs, and how they would work to modify or adapt existing NTEs with effective teaching in mind. By using the Curricular Noticing Framework, we can better understand how PSTs recognize opportunities within mathematics curriculum and gain a deeper understanding regarding how PSTs’ prior experiences may affect their curricular-attending habits, which has consequences for their future teaching. Findings indicate that PSTs understand NTEs to be simply a support for traditional mathematics curriculum, rather than tools on their own. Also, they tend to prefer NTEs that are familiar to them. From our findings, we draw implications for teacher educators who support PSTs’ interpretation and utilization of NTEs.

참고문헌 (56)

  1. Arcavi, A., "The role of visual representations in the learning of mathematics", Educational Studies in Mathematics, 52, pp.215~241 (2003)
  2. Ball, D. L., "Magical hopes : Manipulatives and the reform of math education", American Educator, 16(2), pp.14~18 (1992)
  3. Ball, D. L., "The work of teaching and the challenge for teacher education", Journal of Teacher Education, 60(5), pp.497~511 (2009)
  4. Berends, I. E., "The effect of illustrations in arithmetic problem-solving : Effects of increased cognitive load", Learning and Instruction, 19, pp.345~353 (2009)
  5. Bosse, M. J., "Using integer manipulatives: Representational determinism", International Journal for Mathematics Teaching and Learning, 17(3) (2016)[DOI]
  6. "Bridges in Mathematics: K-5 student books", The Math Learning Center., ~ (2017)
  7. Brown, M. W., "Mathematics teachers at work: Connecting curriculum materials and classroom instruction", pp.17~36 (2009), Routledge
  8. Bruner, J. S., "Toward a theory of instruction" (1966), Harvard University Press
  9. Burmark, L., "Visual literacy : Learn to see, see to learn" (2002), Association for Supervision and Curriculum Development
  10. Carney, R. N., "Pictorial illustrations still improve students’ learning from text", Educational Psychology Review, 98, pp.182~197 (2002)
  11. Carspecken, P. F., "Critical ethnography in educational research : A theoretical and practical guide" (1996), Routledge
  12. Choppin, J., "Learned adaptations : Teachers’ understanding and use of curriculum resources", Journal of Mathematics Teacher Education, 14(5), pp.331~353 (2011)
  13. Coleman, J. M., "Elementary teachers’ use of graphical representations in science teaching", Journal of Science Teacher Education, 22, pp.613~643 (2011)
  14. Cooper, J. L., "Who benefits from diagrams and illustrations in math problems? Ability and attitudes matter", Applied Cognitive Psychology, 32, pp.24~38 (2018)
  15. Crisp, V., "Can a picture ruin a thousand words? The effect of visual resources in exam questions", Educational Research, 48, pp.139~154 (2006)
  16. DeCuir-Gunby, J. T., "Developing and using a codebook for the analysis of interview data : An example from a professional development research project", Field Methods, 23(2), pp.136~155 (2011)
  17. Dietiker, L., "Curricular noticing : A framework to describe teachers’ interactions with curriculum materials", Journal for Research in Mathematics Education, 49(5), pp.521~532 (2018)
  18. Drake, C., "Mathematics teachers at work: Connecting curriculum materials and classroom instruction", pp.321~337 (2009), Routledge
  19. Duval, R., "A cognitive analysis of problems of comprehension in the learning of mathematics", Educational Studies in Mathematics, 61, pp.103~131 (2006)
  20. Dwyer, F. M., "A review of the research on the effects of the use of color in the teaching-learning process", International Journal of Instructional Media, 70, pp.303~328 (1983)
  21. Filloy, E., "Educational algebra : A theoretical and empirical approach" (2008), Springer
  22. Goldin, G. A., "Encyclopedia of Mathematics Education", pp.409~413 (2014), Springer
  23. Grbich, C., "Qualitative data analysis: An introduction" (2013), Sage
  24. Grossman, P., "Teaching core practices in teacher education" (2018), Harvard Education Press
  25. Hall, T., "Curriculum modification" (2004), National Center on Accessing the General Curriculum
  26. Jacobs, V. R., "Professional noticing of children’s mathematical thinking", Journal for Research in Mathematics Education, 41(2), pp.169~202 (2010)
  27. Kamii, C., "Manipulatives : When are they useful", Journal of Mathematical Behavior, 20(1), pp.21~31 (2001)
  28. Kapyla, M., "A phenomenological view of pictures in teaching and a novel method for analysing them", Nordic Studies in Science Education, 10(2), pp.231~242 (2014)
  29. Kim, R. Y., "Text + book = textbook? Development of a conceptual framework for non-textual elements in middle school mathematics textbooks", doctor, pp.2009
  30. Kim, R. Y., "The quality of non-textual elements in mathematics textbooks : An exploratory comparison between South Korea and the United States", ZDM—The International Journal on Mathematics Education, 44(2), pp.175~187 (2012)
  31. Lee, J., "Preservice teachers’ exploration of model breaking points", International Journal of Science and Mathematics Education, 18(3), pp.549~565 (2020)
  32. Lee, S. J., "Mathematics teachers’ reasoning about fractions and decimals using drawn representations", Mathematical Thinking and Learning, 13(3), pp.198~220 (2011)
  33. Lesh, R., "Problems of representations in the teaching and learning of mathematics", pp.33~40 (1987), Lawrence Erlbaum
  34. Levin, J. R., "Learning from textbooks: Theory and practice", pp.95~111 (1993), Lawrence Erlbaum Associates
  35. Liu, X., "A comparative study of illustrations in the old and new middle school mathematics textbooks in China", Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT- 2014), pp.563~568 (2014), The University of Southampton
  36. Luo, Y., "Effects of illustration types on the English reading performance of senior high school students with different cognitive styles", English Language Teaching, 10(9), pp.1~10 (2017)
  37. McKendree, J., "The role of representation in teaching and learning critical thinking", Educational Review, 54, pp.57~67 (2002)
  38. Metros, S. E., "The educator’s role in preparing visually literate learners", Theory into Practice, 47, pp.102~109 (2008)
  39. National Council of Teachers of Mathematics, "Principles and standards for school mathematics" (2000), National Council of Teachers of Mathematics
  40. National Council of Teachers of Mathematics., "Principles to actions : Ensuring mathematical success for all" (2014), National Council of Teachers of Mathematics
  41. "Common core state standards for mathematics" (2010)[URL]
  42. Presmeg, N. C., "Mathematical reasoning: Analogies, metaphors, and images", pp.299~312 (1997), Lawrence Erlbaum Associates.
  43. Rasmussen, C., "Representation and working memory in early arithmetic", Journal of Experimental Child Psychology, 80, pp.44~57 (2005)
  44. Remillard, J. T., "Examining key concepts in research on teachers’ use of mathematics curricula", Review of Educational Research, 75(2), pp.211~246 (2005)
  45. Remillard, J. T., "Examining resources and re-sourcing as insights into teaching", ZDM : The International Journal on Mathematics Education, 45(7), pp.925~927 (2013)
  46. Writing and reading: The transactional theory, "Rosenblatt, L. M.", University of Illinois at Urbana-Champaign, ~, pp.Technical Report No. 416 (1988)
  47. Ruchti, W. P., "Developing reasoning through pictorial representations", Mathematics Teaching in the Middle School, 19(1), pp.30~36 (2013)
  48. Smith, J., "An investigation into some aspects of the illustration of primary school books" (1972), University of Reading, Typography Unit
  49. Star, J. R., "Learning to observe : Using video to improve preservice mathematics teachers' ability to notice", Journal of Mathematics Teacher Education, 11, pp.107~125 (2008)[DOI]
  50. Stein, M. K., "Second handbook of research on mathematics teaching and learning", pp.319~369 (2007), Information Age
  51. Stylianou, D. A., "The role of visual representations in advanced mathematical problem solving : An examination of expert-novice similarities and differences", Mathematical Thinking and Learning, 6(4), pp.353~387 (2004)
  52. van Es, E. A., "Mathematics teacher noticing: Seeing through teachers’ eyes", pp.134~151 (2011), Routledge
  53. van Es, E. A., "Mathematics teachers’"learning to notice"in the context of a video club", Teaching and Teacher Education, 24, pp.244~276 (2008)
  54. Woleck, K. R., "The Roles of representation in school mathematics, 2001 yearbook", pp.215~227 (2001), National Council of Teachers of Mathematics
  55. Yin, R. K., "Case study research: Design and methods" (2009), Sage
  56. Zeichner, K. M., "The struggle for the soul of teacher education" (2018), Routledge

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