메뉴 건너뛰기




Volumn 11, Issue 3, 2009, Pages 113-135

Developing prospective elementary teachers' flexibility in the domain of proportional reasoning

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77953670634     PISSN: 10986065     EISSN: 15327833     Source Type: Journal    
DOI: 10.1080/10986060903022714     Document Type: Article
Times cited : (54)

References (42)
  • 1
    • 0026878037 scopus 로고
    • Automaticity and the ACT* theory
    • Anderson, J. R. (1992). Automaticity and the ACT* theory. American Journal of Psychology, 105(2), 165-180.
    • (1992) American Journal of Psychology , vol.105 , Issue.2 , pp. 165-180
    • Anderson, J.R.1
  • 2
    • 0003141787 scopus 로고
    • Prospective elementary and secondary teachers' understanding of division
    • Ball, D. L. (1990). 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
  • 3
    • 0001239343 scopus 로고    scopus 로고
    • Developing practice, developing practitioners: Toward a practice-based theory of professional education
    • In L. Darling-Hammond and G. Sykes (Eds.), San Francisco: Jossey-Bass
    • Ball, D. L., & Cohen, D. K. (1999). Developing practice, developing practitioners: Toward a practice-based theory of professional education. In L. Darling-Hammond and G. Sykes (Eds.), Teaching as the learning profession: Handbook of policy and practice (pp. 3-32). San Francisco: Jossey-Bass.
    • (1999) Teaching As the Learning Profession: Handbook of Policy and Practice , pp. 3-32
    • Ball, D.L.1    Cohen, D.K.2
  • 5
    • 0035438176 scopus 로고    scopus 로고
    • Students' flexibility in solving two-digit addition and subtraction problems: Instruction effects
    • Blöte, A. W., Van der Burg, E., & Klein, A. S. (2001). Students' flexibility in solving two-digit addition and subtraction problems: Instruction effects. Journal of Educational Psychology, 93(3), 627-638.
    • (2001) Journal of Educational Psychology , vol.93 , Issue.3 , pp. 627-638
    • Blöte, A.W.1    van der Burg, E.2    Klein, A.S.3
  • 6
    • 0004134359 scopus 로고    scopus 로고
    • Bransford, J. D., Brown, A. L., & Cocking, R. R. (Eds.), Washington, DC: National Academy Press
    • Bransford, J. D., Brown, A. L., & Cocking, R. R. (Eds.). (1999). How people learn: Brain, mind, experience, and school. Washington, DC: National Academy Press.
    • (1999) How People Learn: Brain, Mind, Experience, and School
  • 8
    • 0038585880 scopus 로고
    • Computational estimation strategies of professional mathematicians
    • Dowker, A. (1992). Computational estimation strategies of professional mathematicians. Journal for Research in Mathematics Education, 23(1), 45-55.
    • (1992) Journal For Research In Mathematics Education , vol.23 , Issue.1 , pp. 45-55
    • Dowker, A.1
  • 11
    • 21444451370 scopus 로고    scopus 로고
    • Young children's perceptions of mathematics in problem-solving environments
    • Franke, M. L., & Carey, D. A. (1997). Young children's perceptions of mathematics in problem-solving environments. Journal for Research in Mathematics Education, 28(1), 8-25.
    • (1997) Journal For Research In Mathematics Education , vol.28 , Issue.1 , pp. 8-25
    • Franke, M.L.1    Carey, D.A.2
  • 15
    • 0002050269 scopus 로고
    • Two courses of expertise
    • In H. Stevenson, H. Azuma, & K. Hakuta (Eds.), New York: W. H. Freeman
    • Hatano, G., & Inagaki, K. (1986). Two courses of expertise. In H. Stevenson, H. Azuma, & K. Hakuta (Eds.), Child development and education in Japan (pp. 263-272). New York: W. H. Freeman.
    • (1986) Child Development and Education In Japan , pp. 263-272
    • Hatano, G.1    Inagaki, K.2
  • 18
    • 8644231607 scopus 로고    scopus 로고
    • Learning mathematics for teaching: Results from California's Mathematics Professional Development Institutes
    • Hill, H. C., & Ball, D. L. (2004). Learning mathematics for teaching: Results from California's Mathematics Professional Development Institutes. Journal for Research in Mathematics Education, 35(5), 330-351.
    • (2004) Journal For Research In Mathematics Education , vol.35 , Issue.5 , pp. 330-351
    • Hill, H.C.1    Ball, D.L.2
  • 19
    • 70449558104 scopus 로고    scopus 로고
    • Interpreting middle school students' proportional reasoning strategies: Observations from preservice teachers
    • Hines, E., & McMahon, M. T. (2005). Interpreting middle school students' proportional reasoning strategies: Observations from preservice teachers. School Science and Mathematics, 105(2), 88-105.
    • (2005) School Science and Mathematics , vol.105 , Issue.2 , pp. 88-105
    • Hines, E.1    McMahon, M.T.2
  • 20
    • 0003601049 scopus 로고    scopus 로고
    • Kilpatrick, J., Swafford, J., & Findell, B. (Eds.), Washington, DC: National Academy Press
    • Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.
    • (2001) Adding it Up: Helping Children Learn Mathematics
  • 21
    • 0010036012 scopus 로고
    • Ratio and proportion: Elementary didactical phenomenology
    • In J. T. Sowder & B. P. Schappell (Eds.), Albany, NY: State University of New York Press
    • Lamon, S. J. (1995). Ratio and proportion: Elementary didactical phenomenology. In J. T. Sowder & B. P. Schappell (Eds.), Providing a foundation for teaching mathematics in the middle grades (pp.167-198). Albany, NY: State University of New York Press.
    • (1995) Providing a Foundation For Teaching Mathematics In the Middle Grades , pp. 167-198
    • Lamon, S.J.1
  • 22
    • 0002929122 scopus 로고
    • Proportional reasoning
    • In J. Hiebert & M. Behr (Eds.), Reston, VA: National Council of Teachers of Mathematics
    • Lesh, R., Post, T., & Behr, M. (1988). Proportional reasoning. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (Vol. 2, pp. 93-118). Reston, VA: National Council of Teachers of Mathematics.
    • (1988) Number Concepts and Operations In the Middle Grades , vol.2 , pp. 93-118
    • Lesh, R.1    Post, T.2    Behr, M.3
  • 23
    • 38249031637 scopus 로고
    • Why and how to learn why: Analysis-based generalization of procedures
    • Lewis, C. (1988). Why and how to learn why: Analysis-based generalization of procedures. Cognitive Science, 12, 211-256.
    • (1988) Cognitive Science , vol.12 , pp. 211-256
    • Lewis, C.1
  • 25
    • 20444381423 scopus 로고    scopus 로고
    • Teaching, teachers' knowledge, and their professional development
    • In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), Reston, VA: National Council of Teachers of Mathematics
    • Mewborn, D. S. (2003). Teaching, teachers' knowledge, and their professional development. In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to Principles and Standards for School Mathematics (pp. 45-52). Reston, VA: National Council of Teachers of Mathematics.
    • (2003) A Research Companion to Principles and Standards For School Mathematics , pp. 45-52
    • Mewborn, D.S.1
  • 26
    • 0003865799 scopus 로고    scopus 로고
    • National Council of Teachers of Mathematics, Reston, VA: Author
    • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
    • (2000) Principles and Standards For School Mathematics
  • 27
    • 0002359754 scopus 로고
    • Learning to teach
    • In L. Shulman & G. Sykes (Eds.), New York: Longman
    • Nemser, S. F. (1983). Learning to teach. In L. Shulman & G. Sykes (Eds.), Handbook of teaching and policy (pp. 150-170). New York: Longman.
    • (1983) Handbook of Teaching and Policy , pp. 150-170
    • Nemser, S.F.1
  • 28
    • 77953656372 scopus 로고    scopus 로고
    • Evolving research of mathematics teacher educators: The case of non-standard issues in solving standard problems
    • Peled, I., & Hershkovitz, S. (2004). Evolving research of mathematics teacher educators: The case of non-standard issues in solving standard problems. Journal of Mathematics Teacher Education, 7, 299-327.
    • (2004) Journal of Mathematics Teacher Education , vol.7 , pp. 299-327
    • Peled, I.1    Hershkovitz, S.2
  • 29
    • 33947389148 scopus 로고    scopus 로고
    • It's not too late to conceptualize: Constructing a generalized subtraction schema by abstracting and connecting procedures
    • Peled, I., & Segalis, B. (2005). It's not too late to conceptualize: Constructing a generalized subtraction schema by abstracting and connecting procedures. Mathematical Thinking and Learning, 7(3), 207-230.
    • (2005) Mathematical Thinking and Learning , vol.7 , Issue.3 , pp. 207-230
    • Peled, I.1    Segalis, B.2
  • 30
    • 0347860121 scopus 로고
    • Intermediate teachers' knowledge of rational number concepts
    • In E. Fennema, T. P. Carpenter, & S. J. Lamon (Eds.), Albany, NY: SUNY
    • Post, T. R., Harel, G., Behr, M., & Lesh, R. (1988). Intermediate teachers' knowledge of rational number concepts. In E. Fennema, T. P. Carpenter, & S. J. Lamon (Eds.), Integrating research on teaching and learning mathematics (pp. 177-198). Albany, NY: SUNY.
    • (1988) Integrating Research On Teaching and Learning Mathematics , pp. 177-198
    • Post, T.R.1    Harel, G.2    Behr, M.3    Lesh, R.4
  • 31
    • 0035602865 scopus 로고    scopus 로고
    • Developing conceptual understanding and procedural skill in mathematics: An iterative process
    • Rittle-Johnson, B., Siegler, R. S., & Alibali, M. W. (2001). Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of Educational Psychology, 93 (2), 346-362.
    • (2001) Journal of Educational Psychology , vol.93 , Issue.2 , pp. 346-362
    • Rittle-Johnson, B.1    Siegler, R.S.2    Alibali, M.W.3
  • 32
    • 34548852840 scopus 로고    scopus 로고
    • Does comparing solution methods facilitate conceptual and procedural knowledge? An experimental study on learning to solve equations
    • Rittle-Johnson, B., & Star, J. R. (2007). Does comparing solution methods facilitate conceptual and procedural knowledge? An experimental study on learning to solve equations. Journal of Educational Psychology, 99 (3), 561-574.
    • (2007) Journal of Educational Psychology , vol.99 , Issue.3 , pp. 561-574
    • Rittle-Johnson, B.1    Star, J.R.2
  • 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(3), 233-254.
    • (1993) Journal For Research In Mathematics Education , vol.24 , Issue.3 , pp. 233-254
    • Simon, M.A.1
  • 35
    • 38149146081 scopus 로고
    • Mathematical modeling as a component of understanding ratio-as-measure: A study of prospective elementary teachers
    • Simon, M. A., & Blume, G. W. (1994). Mathematical modeling as a component of understanding ratio-as-measure: A study of prospective elementary teachers. The Journal of Mathematical Behavior, 13(2), 183-197.
    • (1994) The Journal of Mathematical Behavior , vol.13 , Issue.2 , pp. 183-197
    • Simon, M.A.1    Blume, G.W.2
  • 36
    • 0031185021 scopus 로고    scopus 로고
    • Beyond competence: The significance of performance for conceptual development
    • Sophian, C. (1997). Beyond competence: The significance of performance for conceptual development. Cognitive Development, 12, 281-303.
    • (1997) Cognitive Development , vol.12 , pp. 281-303
    • Sophian, C.1
  • 37
    • 0001867292 scopus 로고
    • Estimation and number sense
    • In D. A. Grouws (Ed.), New York: Simon & Schuster
    • Sowder, J. (1992). Estimation and number sense. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 371-389). New York: Simon & Schuster.
    • (1992) Handbook of Research On Mathematics Teaching and Learning , pp. 371-389
    • Sowder, J.1
  • 42
    • 33748080809 scopus 로고    scopus 로고
    • The development of flexibility in equation solving
    • Star, J. R., & Seifert, C. (2006). The development of flexibility in equation solving. Contemporary Educational Psychology, 31, 280-300.
    • (2006) Contemporary Educational Psychology , vol.31 , pp. 280-300
    • Star, J.R.1    Seifert, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.