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Volumn 62, Issue 2, 2006, Pages 127-147

Equivalent structures on sets: Equivalence classes, partitions and fiber structures of functions

Author keywords

APOS theory; Equivalence classes; Equivalence relations; Functions; Genetic decomposition; Partitions; Set structures

Indexed keywords


EID: 33746754074     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/s10649-006-5798-9     Document Type: Article
Times cited : (9)

References (13)
  • 2
    • 0031521274 scopus 로고    scopus 로고
    • The development of students' graphical understanding of the derivative
    • Asiala, M., Cottrill, J. and Dubinsky, E.: 1997, The development of students' graphical understanding of the derivative", Journal of Mathematical Behavior 16(4), 339-431.
    • (1997) Journal of Mathematical Behavior , vol.16 , Issue.4 , pp. 339-431
    • Asiala, M.1    Cottrill, J.2    Dubinsky, E.3
  • 5
    • 0002573795 scopus 로고
    • Reflective abstraction in advanced mathematical thinking
    • D. Tall (ed.), Kluwer, Dordrecht
    • Dubinsky, E.: 1991, 'Reflective abstraction in advanced mathematical thinking', in D. Tall (ed.), Advanced Mathematical Thinking, Kluwer, Dordrecht, pp. 95-126.
    • (1991) Advanced Mathematical Thinking , pp. 95-126
    • Dubinsky, E.1
  • 7
    • 0001995528 scopus 로고
    • Reflective abstraction and mathematics education: The genetic decomposition of induction and compactness
    • Dubinsky, E. and Lewin, P.: 1986, 'Reflective abstraction and mathematics education: The genetic decomposition of induction and compactness', The Journal of Mathematical Behavior 5, 55-92.
    • (1986) The Journal of Mathematical Behavior , vol.5 , pp. 55-92
    • Dubinsky, E.1    Lewin, P.2
  • 8
    • 27544500430 scopus 로고    scopus 로고
    • Understanding sequences: A tale of two objects
    • E. Dubinsky, A. Schoenfeld and J. Kaput (eds.), American Mathematical Society, Providence
    • McDonald, M.A., Mathews, D.M. and Strobel, K.H.: 2000, 'Understanding sequences: A tale of two objects', in E. Dubinsky, A. Schoenfeld and J. Kaput (eds.), Research in Collegiate Mathematics Education IV American Mathematical Society, Providence, pp. 77-102.
    • (2000) Research in Collegiate Mathematics Education IV , pp. 77-102
    • McDonald, M.A.1    Mathews, D.M.2    Strobel, K.H.3
  • 9
    • 0037888035 scopus 로고    scopus 로고
    • On equivalent and nonequivalent definitions I and II
    • Leikin, R. and Winicky-Landman, G.: 2000, 'On equivalent and nonequivalent definitions I and II', For the Learning of Mathematics 20(2), 24-29.
    • (2000) For the Learning of Mathematics , vol.20 , Issue.2 , pp. 24-29
    • Leikin, R.1    Winicky-Landman, G.2
  • 11
    • 0004241624 scopus 로고
    • (Derek Coltman, Trans.) The University of Chicago Press, Chicago, London
    • Piaget, J.: 1980, Experiments in Contradiction (Derek Coltman, Trans.) The University of Chicago Press, Chicago, London.
    • (1980) Experiments in Contradiction
    • Piaget, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.