본문 바로가기
KERD
논문KCI 등재

Exploring Preservice Teachers’ Computational and Representational Knowledge of Content and Teaching Fractions

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

초록

The data for the present paper was a part of a large research project conducted to assess preservice teachers' knowledge related to fractions and place value at a southwestern public university in 2007. The study utilized convenience sampling, consisting of 150 elementary preservice teachers who were enrolled in a mathematics methods course before their student teaching. The results demonstrated preservice teachers’ knowledge of teaching comparison, addition, subtraction, and multiplication of fractions was insufficient even though these should be basic knowledge. Teacher preparation programs should emphasize profound knowledge for teaching fractions using representations.

Abstract

The data for the present paper was a part of a large research project conducted to assess preservice teachers' knowledge related to fractions and place value at a southwestern public university in 2007. The study utilized convenience sampling, consisting of 150 elementary preservice teachers who were enrolled in a mathematics methods course before their student teaching. The results demonstrated preservice teachers’ knowledge of teaching comparison, addition, subtraction, and multiplication of fractions was insufficient even though these should be basic knowledge. Teacher preparation programs should emphasize profound knowledge for teaching fractions using representations.

참고문헌 (34)

  1. Ball, D. L., "The mathematical understandings that prospective teachers bring to teacher education", Elementary School Journal, 90(4), pp.449~466 (1990)
  2. Ball, D. L., "Knowing mathematics for teaching: Who knows math-ematics well enough to teach third grade, and how can we decide?", American Educator, 29(3), pp.14~46 (2005)
  3. Ball, D. L.;, "Content knowledge for teaching: What makes it special?", Journal of Teacher Education, 59(5) (2008)[DOI]
  4. Baumert, J., "Teachers’ mathematical knowledge, cognitive activation in the classroom, and student progress", American Educational Research Journal, 47(1), pp.133~180 (2010)
  5. Capraro, R. M.;, "A longitudinal look at the equal sign through the lens of textbooks: A meta-analysis of relational symbols in K-12 textbooks", Paper presented at the annual meeting of the Southwest Educational Research Association held at New Orleans (2010)
  6. Cramer, K, "The rational number project: Fraction lessons for the middle grades, Level 1", pp.1997, Kendall
  7. Cramer, K, "Efficacy of different concrete models for teaching the part-whole construct for fractions", Math. Think. Learn, 11(4), pp.226~257 (2009)[DOI]
  8. Cramer, K. A, "Initial fraction learning by fourth- and fifth-grade students: A comparison of the effects of using commercial curricula with the effects of using the rational number project curriculum", J. Res. Math. Educ, 33(2), pp.111~144 (2002)
  9. Cumming, G, "Inference by eye: Confidence intervals and how to read pictures of data", American Psychologist, 60(2), pp.170~180 (2005)
  10. Diezmann, C, "Promoting the use of diagrams as tools for thinking, In The roles of representation in school mathematics. 2001 Yearbook of the National Council of Teachers of Mathematics", pp.77~89 (2001), National Council of Teachers of Mathematics
  11. Empson, S. B., "Organizing diversity in early fraction thinking, In Making sense of fractions, ratios and proportions. 2002 Yearbook of the National Council of Teachers of Mathematics", pp.29~40 (2002), National Council of Teachers of Mathematics
  12. 한선영, "The Textbook Analysis on Probability: The Case of Korea, Malaysia and U.S. Textbooks", 수학교육연구, 15(2), pp.127~140 (2011), 한국수학교육학회
  13. Hill, H, "Effects of teachers' mathematical knowledge for teaching on student achievement", American Education Research Journal, 42(2), pp.371~406 (2005)
  14. Huck, S. W., "Reading statistics and research" (2008), Pearson Educa-tion
  15. Kiren, T. E., "The rational number construct: Its elements and mechanisms, In Recent research on number learning", pp.125~149 (1980), Eric-SMEAC
  16. Koballa, T. R, "Conceptions of teaching science held by novice teachers in an alternative certification program", J. Sci. Teacher Educ, 16(4), pp.287~308 (2005)
  17. Lamon, S. J., "Teaching fractions and ratios for understanding: Essential content knowledge and instructional strategies for teachers" (1999), Erlbaum
  18. Lamon, S. J., "Presenting and representing from fractions to rational numbers, In The roles of representation in school mathematics", pp.146~165 (2001), The National Council of Teachers of Mathematics
  19. Ma, L., "Knowing and teaching elementary mathematics: Teachers’ understanding of fun-damental mathematics in China and the United States" (1999), Erlbaum
  20. Martin, S, "Fractions: Building a foundation with concrete manipulatives", Illinois Schools Journal, 83(2), pp.2~21 (2004)
  21. Mewborn, D. S., "Teaching, teachers’ knowledge and their professional development, In A research companion to principles and stand-ards for school mathematics", pp.45~52 (2003), National Council of Teachers of Mathe-matics
  22. Miller, S. P., "Helping students with disabilities understand what mathemat-ics means", Teaching Exceptional Children, 39(1), pp.28~35 (2006)
  23. Naiser, E. A, "Teaching fractions: Strategies used for teaching fractions to middle grade students", Journal of Research in Childhood Education, 18(3), pp.193~198 (2004)
  24. "NAEP questions tools" (2005)[URL]
  25. National Council of Teachers of Mathematics, "Principles and standards for school mathematics" (2000), NCTM
  26. Newton, K. J., "An extensive analysis of perservice elementary teachers’ knowledge of frac-tions", American Educational Research Journal, 45(4), pp.1080~1110 (2008)[DOI]
  27. Patterson, J. M, "The divergent child: Fraction concepts from their perspective", Paper presented at the 81st annual meeting of the National Council of Teachers of Mathematics held at San Antonio (2003)
  28. Shulman, L. S., "Those who understand: Knowledge growth in teaching", Educational Re-searcher, 15(2), pp.4~14 (1986)
  29. Simmons, P. E, "Beginning teachers: Beliefs and classroom actions", Journal of Research in Science Teaching, 36(8), pp.930~945 (1999)
  30. Skemp, R, "Relational understanding and instrumental understanding", Math. Teaching, 26(3), pp.9~15 (1978)
  31. Tirosh, D., "Enhancing prospective teachers’ knowledge of children’s conceptions: The case of division of fractions", J. Res. Math. Educ, 31(1), pp.5~25 (2000)
  32. Van de Walle, J. A., "Elementary and middle school mathematics: Teaching developmentally" (2010), Pearson Allyn & Bacon
  33. M. Cole, "Readings on the development of children", pp.42~48 (1978), Worth
  34. Wright, K. B., "Assessing EC-4 preservice teachers’ mathematics knowledge for teaching fractions concepts", 석사, pp.2008

관련 논문AI추천

이 간행물의 다른 논문 (4건)