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Volumn 53, Issue 1, 2011, Pages 69-81

Effect of number structure and nature of quantities on secondary school students' proportional reasoning

Author keywords

Additive strategy; Nature of quantities; Number structure; Over use of proportionality; Proportional reasoning

Indexed keywords


EID: 79955808265     PISSN: 00393320     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (18)
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  • 2
    • 0035729517 scopus 로고    scopus 로고
    • Mapping and development of intuitive proportional thinking
    • CHRISTOU, C, PHILIPPOU, G., 2002, Mapping and development of intuitive proportional thinking. Journal of Mathematical Behavior, 20, 321-336.
    • (2002) Journal of Mathematical Behavior , vol.20 , pp. 321-336
    • Christou, C.1    Philippou, G.2
  • 3
    • 0009980501 scopus 로고
    • Learning and teaching ratio and proportion: Research implications
    • D. Owens (Ed.), NY: Macmillan Publishing Company
    • CRAMER, K., POST, T., CURRIER, S., 1993, Learning and teaching ratio and proportion: Research implications. In: D. Owens (Ed.), Research ideas for the classroom: Middle grades mathematics (pp. 159-178). NY: Macmillan Publishing Company.
    • (1993) Research Ideas for the Classroom: middle Grades Mathematics , pp. 159-178
    • Cramer, K.1    Post, T.2    Currier, S.3
  • 5
    • 79551665347 scopus 로고    scopus 로고
    • O. FIGUERAS, A. SEPÚLVEDA (Eds.), Proceedings of the 32nd Conference of the International Group for the Psychology of Mathematics Education Morelia, Michoacán, México: PME.
    • FERNANDEZ, C., LLINARES, S., VALLS, J., 2008, Implicative analysis of strategies in solving proportional and non-proportional problems. In: O. FIGUERAS, A. SEPÚLVEDA (Eds.), Proceedings of the 32nd Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 1-8) Morelia, Michoacán, México: PME.
    • (2008) Implicative Analysis of Strategies in Solving Proportional and Non-proportional Problems , vol.3 , pp. 1-8
    • Fernandez, C.1    Llinares, S.2    Valls, J.3
  • 7
    • 0009998282 scopus 로고
    • Structure and hierarchy of missing-value proportion problems and their representations
    • HAREL, G., BEHR, M., 1989, Structure and hierarchy of missing-value proportion problems and their representations. Journal of Mathematical Behavior, 8, 1, 77-119.
    • (1989) Journal of Mathematical Behavior , vol.8 , Issue.1 , pp. 77-119
    • Harel, G.1    Behr, M.2
  • 9
    • 34447275224 scopus 로고    scopus 로고
    • The development of proportional reasoning: Effect of continuous versus discrete quantities
    • JEONG, Y., LEVINE, S.C., HUTTENLOCHER, J., 2007, The development of proportional reasoning: Effect of continuous versus discrete quantities. Journal of Cognition and Development, 8, 2, 237-256.
    • (2007) Journal of Cognition and Development , vol.8 , Issue.2 , pp. 237-256
    • Jeong, Y.1    Levine, S.C.2    Huttenlocher, J.3
  • 12
    • 0041378204 scopus 로고    scopus 로고
    • Diagnostic assessment of children's proportional reasoning
    • MISAILIDOU, C., WILLIAMS, J., 2003, Diagnostic assessment of children's proportional reasoning. Journal of Mathematical Behavior, 22, 335368.
    • (2003) Journal of Mathematical Behavior , vol.22 , pp. 335368
    • Misailidou, C.1    Williams, J.2
  • 13
    • 34249108883 scopus 로고    scopus 로고
    • Students' improper proportional reasoning: A result of the epistemological obstacle of "linearity"
    • MODESTOU, M., GAGATSIS, A., 2007, Students' improper proportional reasoning: A result of the epistemological obstacle of "linearity". Educational Psychology, 27, 1, 75-92.
    • (2007) Educational Psychology , vol.27 , Issue.1 , pp. 75-92
    • Modestou, M.1    Gagatsis, A.2
  • 14
    • 0011025448 scopus 로고    scopus 로고
    • Proportional reasoning in young children: Part-part comparisons about continuous and discontinuous quantity
    • SPINILLO, A.G., BRYANT, P.E., 1999, Proportional reasoning in young children: Part-part comparisons about continuous and discontinuous quantity. Mathematical Cognition, 5, 2, 181-197.
    • (1999) Mathematical Cognition , vol.5 , Issue.2 , pp. 181-197
    • Spinillo, A.G.1    Bryant, P.E.2
  • 16
  • 17
    • 13944269902 scopus 로고    scopus 로고
    • Not everything is proportional: Effects of age and problem type on propensities of overgeneralization
    • VAN DOOREN, W., DE BOCK, D., HESSELS, A., JANSSENS, D., VERSCHAFFEL, L., 2005, Not everything is proportional: Effects of age and problem type on propensities of overgeneralization. Cognition and Instruction, 23, 1, 57-86.
    • (2005) Cognition and Instruction , vol.23 , Issue.1 , pp. 57-86
    • Van Dooren, W.1    De Bock, D.2    Hessels, A.3    Janssens, D.4    Verschaffel, L.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.