메뉴 건너뛰기




Volumn 25, Issue 1, 2006, Pages 46-56

The emergence of multiplicative thinking in children's solutions to paper folding tasks

Author keywords

Folding; Multiplication; Multiplicative thinking; Partitioning; Problem solving; Repeated halving

Indexed keywords


EID: 32044462983     PISSN: 07323123     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmathb.2005.11.001     Document Type: Article
Times cited : (21)

References (20)
  • 2
    • 84970382585 scopus 로고
    • Toward a solution of the learning paradox
    • C. Bereiter Toward a solution of the learning paradox Review of Educational Research 55 2 1985 201-226
    • (1985) Review of Educational Research , vol.55 , Issue.2 , pp. 201-226
    • Bereiter, C.1
  • 3
    • 32044442239 scopus 로고
    • Paper folding and equivalent fractions - Bridging a gap
    • H. Bohan Paper folding and equivalent fractions - bridging a gap The Arithmetic Teacher 18 4 1971 245-249
    • (1971) The Arithmetic Teacher , vol.18 , Issue.4 , pp. 245-249
    • Bohan, H.1
  • 4
    • 3543040324 scopus 로고    scopus 로고
    • Thinking mathematically: Integrating arithmetic and algebra in elementary school
    • Portsmouth, NH: Heinemann
    • T.P. Carpenter M. Franke & L. Levi Thinking mathematically: Integrating arithmetic and algebra in elementary school 2003 Heinemann Portsmouth, NH
    • (2003)
    • Carpenter, T.P.1    Franke, M.2    Levi, L.3
  • 5
    • 0001311877 scopus 로고
    • Splitting, similarity and rate of change: A new approach to multiplication and exponential functions
    • G. Harel J. Confrey State University of New York Press Albany, NY
    • J. Confrey Splitting, similarity and rate of change: A new approach to multiplication and exponential functions G. Harel J. Confrey The development of multiplicative reasoning in the learning of mathematics 1994 State University of New York Press Albany, NY 291-330
    • (1994) The Development of Multiplicative Reasoning in the Learning of Mathematics , pp. 291-330
    • Confrey, J.1
  • 6
    • 0039560896 scopus 로고
    • Preschoolers' spontaneous partitioning of discrete items
    • R. Hunting G. Davis Springer-Verlag New York
    • G. Davis & R. Hunting Preschoolers' spontaneous partitioning of discrete items R. Hunting G. Davis Early fraction learning 1991 Springer-Verlag New York
    • (1991) Early Fraction Learning
    • Davis, G.1    Hunting, R.2
  • 8
    • 33748995349 scopus 로고    scopus 로고
    • Fractions as the coordination of multiplicatively related quantities: A cross-sectional study of children's thinking
    • in press
    • Empson, S. B., Junk, D., Dominguez, H., & Turner, E. E. Fractions as the coordination of multiplicatively related quantities: A cross-sectional study of children's thinking. Educational Studies in Mathematics, in press.
    • Educational Studies in Mathematics
    • Empson, S.B.1    Junk, D.2    Dominguez, H.3    Turner, E.E.4
  • 9
    • 0003906503 scopus 로고
    • Ratio: Children's strategies and errors
    • Windsor, England: NFR-NELSON
    • K. Hart Ratio: Children's strategies and errors 1984 NFR-NELSON Windsor, England
    • (1984)
    • Hart, K.1
  • 10
    • 49549151274 scopus 로고
    • If you want to get ahead, get a theory
    • A. Karmiloff-Smith & B. Inhelder If you want to get ahead, get a theory Cognition 3 3 1974/75 195-212
    • (1974) Cognition , vol.3 , Issue.3 , pp. 195-212
    • Karmiloff-Smith, A.1    Inhelder, B.2
  • 12
    • 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
  • 14
    • 0000398501 scopus 로고
    • Partitioning: The emergence of rational number ideas in young children
    • Y. Pothier & D. Sawada Partitioning: The emergence of rational number ideas in young children Journal for Research in Mathematics Education 14 1983 307-317
    • (1983) Journal for Research in Mathematics Education , vol.14 , pp. 307-317
    • Pothier, Y.1    Sawada, D.2
  • 15
    • 32044445969 scopus 로고
    • Emeryville, CA: Key Curriculum Press
    • M. Serra Patty paper geometry 1994 Key Curriculum Press Emeryville, CA
    • (1994) Patty Paper Geometry
    • Serra, M.1
  • 16
    • 0026176902 scopus 로고
    • The microgenetic method. A direct means for studying cognitive development
    • R. Siegler & K. Crowley The microgenetic method. A direct means for studying cognitive development American Psychologist 46 6 1991 606-620
    • (1991) American Psychologist , vol.46 , Issue.6 , pp. 606-620
    • Siegler, R.1    Crowley, K.2
  • 18
    • 0035729603 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 2 2002 267-307
    • (2002) Journal of Mathematical Behavior , vol.2 , pp. 267-307
    • Steffe, L.P.1
  • 19
    • 22644452255 scopus 로고    scopus 로고
    • An integrated study of children's construction of improper fractions and the teacher's role in promoting that learning
    • R. Tzur An integrated study of children's construction of improper fractions and the teacher's role in promoting that learning Journal for Research in Mathematics Education 30 1999 390-416
    • (1999) Journal for Research in Mathematics Education , vol.30 , pp. 390-416
    • Tzur, R.1
  • 20
    • 0001328390 scopus 로고
    • Multiplicative structures
    • J. Hiebert M. Behr Lawrence Erlbaum Hillsdale, NJ
    • G. Vergnaud Multiplicative structures J. Hiebert M. Behr Number concepts and operations in the middle grades 1988 Lawrence Erlbaum Hillsdale, NJ 141-161
    • (1988) Number Concepts and Operations in the Middle Grades , pp. 141-161
    • Vergnaud, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.