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Volumn 15, Issue 6, 2012, Pages 481-500

Prospective elementary teachers' knowledge of fraction division

Author keywords

Fraction division; Mathematical knowledge for teaching; Prospective elementary teacher; Teacher education

Indexed keywords


EID: 84884413369     PISSN: 13864416     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10857-012-9221-4     Document Type: Article
Times cited : (46)

References (43)
  • 2
    • 0001413504 scopus 로고
    • The mathematical understandings that prospective teachers bring to teacher education
    • Ball, D. L. (1990a). The mathematical understandings that prospective teachers bring to teacher education. Elementary School Journal, 90, 449-466.
    • (1990) Elementary School Journal , vol.90 , pp. 449-466
    • Ball, D.L.1
  • 3
    • 0003141787 scopus 로고
    • Prospective elementary and secondary teachers' understanding of division
    • Ball, D. L. (1990b). Prospective elementary and secondary teachers' understanding of division. Journal for Research in Mathematics Education, 21, 132-144.
    • (1990) Journal for Research in Mathematics Education , vol.21 , pp. 132-144
    • Ball, D.L.1
  • 4
    • 54049084937 scopus 로고    scopus 로고
    • Content knowledge for teaching: What makes it special?
    • Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59, 399-407.
    • (2008) Journal of Teacher Education , vol.59 , pp. 399-407
    • Ball, D.L.1    Thames, M.H.2    Phelps, G.3
  • 6
    • 21444437773 scopus 로고    scopus 로고
    • Conceptual units analysis of preservice elementary school teachers' strategies on a rational-number-as-operator task
    • Behr, M. J., Khoury, H. A., Harel, G., Post, T., & Lesh, R. (1997). Conceptual units analysis of preservice elementary school teachers' strategies on a rational-number-as-operator task. Journal for Research in Mathematics Education, 28, 48-69.
    • (1997) Journal for Research in Mathematics Education , vol.28 , pp. 48-69
    • Behr, M.J.1    Khoury, H.A.2    Harel, G.3    Post, T.4    Lesh, R.5
  • 10
    • 57849096647 scopus 로고    scopus 로고
    • Approaches to the teaching of creative and non-creative mathematical problems
    • Chiu, M. (2009). Approaches to the teaching of creative and non-creative mathematical problems. International Journal of Science and Mathematics Education, 7(1), 55-79.
    • (2009) International Journal of Science and Mathematics Education , vol.7 , Issue.1 , pp. 55-79
    • Chiu, M.1
  • 11
    • 79955700973 scopus 로고    scopus 로고
    • Common Core State Standards Initiative, Retrieved September 10, 2010, from
    • Common Core State Standards Initiative. (2010). Common core state standards for mathematics. Retrieved September 10, 2010, from http://www. corestandards. org/the-standards/mathematics.
    • (2010) Common core state standards for mathematics
  • 12
    • 84884417913 scopus 로고    scopus 로고
    • Conference Board of the Mathematical Sciences, Providence, RI: American Mathematical Society and Mathematical Association of America
    • Conference Board of the Mathematical Sciences. (2001). The mathematical education of teachers. Issues in mathematics education (Vol. 11). Providence, RI: American Mathematical Society and Mathematical Association of America.
    • (2001) The Mathematical Education of Teachers. Issues in Mathematics Education , vol.11
  • 13
    • 33744534959 scopus 로고    scopus 로고
    • Mathematics-for-teaching: An ongoing investigation of the mathematics that teachers (need to) know
    • Davis, B., & Simmt, E. (2006). Mathematics-for-teaching: An ongoing investigation of the mathematics that teachers (need to) know. Educational Studies in Mathematics, 61, 293-319.
    • (2006) Educational Studies in Mathematics , vol.61 , pp. 293-319
    • Davis, B.1    Simmt, E.2
  • 14
    • 33747744679 scopus 로고
    • Using sharing situations to help children learn fractions
    • Empson, S. B. (1995). Using sharing situations to help children learn fractions. Teaching Children Mathematics, 2, 110-114.
    • (1995) Teaching Children Mathematics , vol.2 , pp. 110-114
    • Empson, S.B.1
  • 17
    • 0000734451 scopus 로고
    • Multiplication and division as models of situations
    • D. A. Grouws (Ed.), New York: Macmillan
    • Greer, B. (1992). Multiplication and division as models of situations. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 276-295). New York: Macmillan.
    • (1992) Handbook of Research on Mathematics Teaching and Learning , pp. 276-295
    • Greer, B.1
  • 18
    • 78649283699 scopus 로고    scopus 로고
    • The nature and predictors of elementary teachers' mathematical knowledge for teaching
    • Hill, H. C. (2010). The nature and predictors of elementary teachers' mathematical knowledge for teaching. Journal for Research in Mathematics Education, 41, 513-545.
    • (2010) Journal for Research in Mathematics Education , vol.41 , pp. 513-545
    • Hill, H.C.1
  • 19
    • 21144450961 scopus 로고    scopus 로고
    • Effects of teachers' mathematical knowledge for teaching on student achievement
    • Hill, H. C., Rowen, B., & Ball, D. L. (2005). Effects of teachers' mathematical knowledge for teaching on student achievement. American Educational Research Journal, 42, 371-406.
    • (2005) American Educational Research Journal , vol.42 , pp. 371-406
    • Hill, H.C.1    Rowen, B.2    Ball, D.L.3
  • 20
    • 54949096914 scopus 로고    scopus 로고
    • Rational numbers and proportional reasoning: Towards a theoretical framework for research
    • F. K. LesterJr (Ed.), Reston, VA: National Council of Teachers of Mathematics
    • Lamon, S. (2007). Rational numbers and proportional reasoning: Towards a theoretical framework for research. In F. K. Lester Jr (Ed.), Second handbook of research on mathematics teaching and learning (pp. 629-667). Reston, VA: National Council of Teachers of Mathematics.
    • (2007) Second Handbook of Research on Mathematics Teaching and Learning , pp. 629-667
    • Lamon, S.1
  • 22
    • 84867463854 scopus 로고    scopus 로고
    • Conceptualizing and organizing content for teaching and learning in selected Chinese, Japanese and US mathematics textbooks: The case of fraction division
    • Li, Y., Chen, X., & An, S. (2009). Conceptualizing and organizing content for teaching and learning in selected Chinese, Japanese and US mathematics textbooks: The case of fraction division. ZDM-The International Journal on Mathematics Education, 41, 809-826.
    • (2009) ZDM-The International Journal on Mathematics Education , vol.41 , pp. 809-826
    • Li, Y.1    Chen, X.2    An, S.3
  • 23
    • 70450198731 scopus 로고    scopus 로고
    • Knowledge and confidence of prospective mathematics teachers: The case of fraction division
    • Li, Y., & Kulm, G. (2008). Knowledge and confidence of prospective mathematics teachers: The case of fraction division. ZDM-The International Journal on Mathematics Education, 40, 833-843.
    • (2008) ZDM-The International Journal on Mathematics Education , vol.40 , pp. 833-843
    • Li, Y.1    Kulm, G.2
  • 24
    • 84875497648 scopus 로고    scopus 로고
    • Fundamental fraction knowledge of pre-service elementary teachers: A cross-national study in the United States and Taiwan
    • Luo, F., Lo, J., & Leu, Y. (2011). Fundamental fraction knowledge of pre-service elementary teachers: A cross-national study in the United States and Taiwan. School Science and Mathematics, 111, 164-177.
    • (2011) School Science and Mathematics , vol.111 , pp. 164-177
    • Luo, F.1    Lo, J.2    Leu, Y.3
  • 27
    • 77951854257 scopus 로고    scopus 로고
    • National Council of Teachers of Mathematics, Reston, VA: Author
    • National Council of Teachers of Mathematics. (2000). Principles and standards of school mathematics. Reston, VA: Author.
    • (2000) Principles and Standards of School Mathematics
  • 28
    • 54049154441 scopus 로고    scopus 로고
    • National Mathematics Advisory Panel, Retrieved January 10, 2009, from
    • National Mathematics Advisory Panel. (2008). The foundations for success. Retrieved January 10, 2009, from http://www. ed. gov/about/bdscomm/list/mathpanel/report/final-report. pdf.
    • (2008) The foundations for success
  • 30
    • 67349269388 scopus 로고    scopus 로고
    • An extensive analysis of preservice elementary teachers' knowledge of fractions
    • Newton, K. J. (2008). An extensive analysis of preservice elementary teachers' knowledge of fractions. American Educational Research Journal, 45, 1080-1110.
    • (2008) American Educational Research Journal , vol.45 , pp. 1080-1110
    • Newton, K.J.1
  • 32
    • 75349091681 scopus 로고    scopus 로고
    • Prospective teachers' knowledge: Concept of division
    • Rizvi, N. F., & Lawson, M. J. (2007). Prospective teachers' knowledge: Concept of division. International Education Journal, 8(2), 377-392.
    • (2007) International Education Journal , vol.8 , Issue.2 , pp. 377-392
    • Rizvi, N.F.1    Lawson, M.J.2
  • 33
    • 84973848880 scopus 로고
    • Those who understand: Knowledge growth in teaching
    • Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
    • (1986) Educational Researcher , vol.15 , Issue.2 , pp. 4-14
    • Shulman, L.S.1
  • 34
    • 21144471172 scopus 로고
    • Prospective elementary teachers' knowledge of division
    • Simon, M. A. (1993). Prospective elementary teachers' knowledge of division. Journal for Research in Mathematics Education, 24, 233-254.
    • (1993) Journal for Research in Mathematics Education , vol.24 , pp. 233-254
    • Simon, M.A.1
  • 35
    • 67650635140 scopus 로고    scopus 로고
    • Prospective teachers' reasoning and response to a student's non-traditional strategy when dividing fraction
    • Son, J. W., & Crespo, S. (2009). Prospective teachers' reasoning and response to a student's non-traditional strategy when dividing fraction. Journal of Mathematics Teacher Education, 12, 235-261.
    • (2009) Journal of Mathematics Teacher Education , vol.12 , pp. 235-261
    • Son, J.W.1    Crespo, S.2
  • 36
    • 0042881175 scopus 로고    scopus 로고
    • Fractional commensurate, composition, and adding schemes: Learning trajectories of Jason and Laura: Grade 5
    • Steffe, L. P. (2003). Fractional commensurate, composition, and adding schemes: Learning trajectories of Jason and Laura: Grade 5. Journal of Mathematical Behavior, 22, 237-295.
    • (2003) Journal of Mathematical Behavior , vol.22 , pp. 237-295
    • Steffe, L.P.1
  • 37
    • 78650201525 scopus 로고    scopus 로고
    • Variation problems and their role in the topic of fraction division in Chinese mathematics textbook examples
    • Sun, X. (2011). "Variation problems" and their role in the topic of fraction division in Chinese mathematics textbook examples. Educational Studies in Mathematics, 75, 65-85.
    • (2011) Educational Studies in Mathematics , vol.75 , pp. 65-85
    • Sun, X.1
  • 39
    • 0346306445 scopus 로고
    • Evoking cognitive conflict to explore preservice teachers' thinking about division
    • Tirosh, D., & Graeber, A. (1990a). Evoking cognitive conflict to explore preservice teachers' thinking about division. Journal for Research in Mathematics Education, 21, 98-108.
    • (1990) Journal for Research in Mathematics Education , vol.21 , pp. 98-108
    • Tirosh, D.1    Graeber, A.2
  • 40
    • 84867363906 scopus 로고
    • Inconsistencies in preservice elementary teachers' beliefs about multiplication and division
    • Tirosh, D., & Graeber, A. (1990b). Inconsistencies in preservice elementary teachers' beliefs about multiplication and division. Focus on Learning Problems in Mathematics, 20, 95-102.
    • (1990) Focus on Learning Problems in Mathematics , vol.20 , pp. 95-102
    • Tirosh, D.1    Graeber, A.2
  • 43
    • 85010566181 scopus 로고    scopus 로고
    • Fraction operation: An examination of prospective teachers' errors, confidence, and bias
    • Young, E., & Zientek, L. (2011). Fraction operation: An examination of prospective teachers' errors, confidence, and bias. Investigations in Mathematics Learning, 4, 1-24.
    • (2011) Investigations in Mathematics Learning , vol.4 , pp. 1-24
    • Young, E.1    Zientek, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.