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Volumn 25, Issue 1, 2006, Pages 18-45

Making sense of instruction on fractions when a student lacks necessary fractional schemes: The case of Tim

Author keywords

Coordinated research design; Fractional schemes; Instructional strategies

Indexed keywords


EID: 32044451344     PISSN: 07323123     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmathb.2005.11.003     Document Type: Article
Times cited : (35)

References (26)
  • 1
    • 0002910835 scopus 로고    scopus 로고
    • The evolution of mathematical practices: A case study
    • J. Bowers P. Cobb & K. McClain The evolution of mathematical practices: A case study Cognition and Instruction 17 1 1999 25-64
    • (1999) Cognition and Instruction , vol.17 , Issue.1 , pp. 25-64
    • Bowers, J.1    Cobb, P.2    McClain, K.3
  • 3
    • 0002298741 scopus 로고    scopus 로고
    • Individual and collective mathematical development: The case of statistical data analysis
    • P. Cobb Individual and collective mathematical development: The case of statistical data analysis Mathematical Thinking and Learning 1 1 1999 5-43
    • (1999) Mathematical Thinking and Learning , vol.1 , Issue.1 , pp. 5-43
    • Cobb, P.1
  • 5
    • 0004237908 scopus 로고    scopus 로고
    • Instruction, capacity, and improvement
    • (Consortium for Policy Research in Education, Research Report Series No. RR-43) Philadelphia, PA: The University of Pennsylvania, Graduate School of Education
    • Cohen, D. K., & Ball, D. L. (1999). Instruction, capacity, and improvement (Consortium for Policy Research in Education, Research Report Series No. RR-43). Philadelphia, PA: The University of Pennsylvania, Graduate School of Education.
    • (1999)
    • Cohen, D.K.1    Ball, D.L.2
  • 6
    • 0010239219 scopus 로고    scopus 로고
    • Making change: Instruction and its improvement
    • D.K. Cohen & D.L. Ball Making change: Instruction and its improvement Phi Delta Kappan 83 1 2001 73-77
    • (2001) Phi Delta Kappan , vol.83 , Issue.1 , pp. 73-77
    • Cohen, D.K.1    Ball, D.L.2
  • 9
    • 85070008202 scopus 로고    scopus 로고
    • There's five little notches in here: Dilemmas in teaching and learning the conventional structure of rate
    • J. Greeno S. Goldman Erlbaum Mahwah, NJ
    • R. Hall A. Rubin There's five little notches in here: Dilemmas in teaching and learning the conventional structure of rate J. Greeno S. Goldman Thinking practices in mathematics and science learning 1998 Erlbaum Mahwah, NJ 189-235
    • (1998) Thinking Practices in Mathematics and Science Learning , pp. 189-235
    • Hall, R.1    Rubin, A.2
  • 12
    • 14844327841 scopus 로고    scopus 로고
    • How "focusing phenomena" in the instructional environment support individual students' generalizations
    • J. Lobato A. Ellis & R. Muñoz How "focusing phenomena"; in the instructional environment support individual students' generalizations Mathematical Thinking and Learning 5 1 2003 1-36
    • (2003) Mathematical Thinking and Learning , vol.5 , Issue.1 , pp. 1-36
    • Lobato, J.1    Ellis, A.2    Muñoz, R.3
  • 13
    • 0035615290 scopus 로고    scopus 로고
    • An analysis of development of sociomathematical norms in one first-grade classroom
    • K. McClain & P. Cobb An analysis of development of sociomathematical norms in one first-grade classroom Journal for Research in Mathematics Education 32 3 2001 236-266
    • (2001) Journal for Research in Mathematics Education , vol.32 , Issue.3 , pp. 236-266
    • McClain, K.1    Cobb, P.2
  • 14
  • 15
    • 0001549062 scopus 로고    scopus 로고
    • From fractions to rational numbers of arithmetic: A reorganization hypothesis
    • J. Olive From fractions to rational numbers of arithmetic: A reorganization hypothesis Mathematical Thinking and Learning 1 4 1999 279-314
    • (1999) Mathematical Thinking and Learning , vol.1 , Issue.4 , pp. 279-314
    • Olive, J.1
  • 16
  • 18
    • 0842331720 scopus 로고    scopus 로고
    • Nathan's strategies for simplifying and adding fractions in third grade
    • N. A. Pateman, B. J. Dougherty, & J. T. Zilliox (Eds.) held jointly with the 25th conference of PME-NA Honolulu, HI: CRDG, College of Education, University of Hawaii
    • Olive, J. (2003). Nathan's strategies for simplifying and adding fractions in third grade. In: N. A. Pateman, B. J. Dougherty, & J. T. Zilliox (Eds.), Proceedings of the 27th conference of the international group for the psychology of mathematics education (PME-27) held jointly with the 25th conference of PME-NA (Vol. 3, pp. 421-428). Honolulu, HI: CRDG, College of Education, University of Hawaii.
    • (2003) Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education (PME-27) , vol.3 , pp. 421-428
    • Olive, J.1
  • 19
    • 0035743092 scopus 로고    scopus 로고
    • The construction of an iterative fractional scheme: The case of Joe
    • J. Olive & L.P. Steffe The construction of an iterative fractional scheme: The case of Joe Journal of Mathematical Behavior 20 2002 413-437
    • (2002) Journal of Mathematical Behavior , vol.20 , pp. 413-437
    • Olive, J.1    Steffe, L.P.2
  • 20
    • 32044474151 scopus 로고    scopus 로고
    • Fraction bars [Computer software]
    • Athens, GA: Transparent Media
    • J. Orrill Fraction bars [Computer software] 2003 Transparent Media Athens, GA
    • (2003)
    • Orrill, J.1
  • 22
    • 23044518580 scopus 로고    scopus 로고
    • Steering (dis)course between metaphors and rigor: Using focal analysis to investigate an emergence of mathematical objects
    • A. Sfard Steering (dis)course between metaphors and rigor: Using focal analysis to investigate an emergence of mathematical objects Journal for Research in Mathematics Education 31 3 2000 296-327
    • (2000) Journal for Research in Mathematics Education , vol.31 , Issue.3 , pp. 296-327
    • Sfard, A.1
  • 23
    • 0009596605 scopus 로고    scopus 로고
    • A new hypothesis concerning children's fractional knowledge
    • L.P. Steffe A new hypothesis concerning children's fractional knowledge Journal of Mathematical Behavior 102 2002 1-41
    • (2002) Journal of Mathematical Behavior , vol.102 , pp. 1-41
    • Steffe, L.P.1
  • 24
    • 0042881175 scopus 로고    scopus 로고
    • Fractional commensurate, composition, and adding schemes: Learning trajectories of Jason and Laura: Grade 5
    • L.P. Steffe Fractional commensurate, composition, and adding schemes: Learning trajectories of Jason and Laura: Grade 5 Journal of Mathematical Behavior 22 2003 237-295
    • (2003) Journal of Mathematical Behavior , vol.22 , pp. 237-295
    • Steffe, L.P.1
  • 25
    • 22644452255 scopus 로고    scopus 로고
    • An integrated study of children's construction of improper fractions and the teacher's role in promoting the learning
    • R. Tzur An integrated study of children's construction of improper fractions and the teacher's role in promoting the learning Journal for Research in Mathematics Education 30 4 1999 390-416
    • (1999) Journal for Research in Mathematics Education , vol.30 , Issue.4 , pp. 390-416
    • Tzur, R.1
  • 26
    • 0008785253 scopus 로고
    • The concept of equilibration in a constructivist theory of knowledge
    • F. Benseler P.M. Hejl W.K. Kock Campus Verlag Frankfurt, West Germany
    • E. von Glasersfeld The concept of equilibration in a constructivist theory of knowledge F. Benseler P.M. Hejl W.K. Kock Autopoisis, communication, and society 1980 Campus Verlag Frankfurt, West Germany 75-85
    • (1980) Autopoisis, Communication, and Society , pp. 75-85
    • von Glasersfeld, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.