메뉴 건너뛰기




Volumn 23, Issue 2, 2004, Pages 205-222

Reflective abstraction, uniframes and the formulation of generalizations

Author keywords

Abstraction; Combinatorics; Generalization; Mathematical structures; Problem solving; Reflection; Uniframes

Indexed keywords


EID: 2942530299     PISSN: 07323123     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmathb.2004.03.005     Document Type: Article
Times cited : (25)

References (19)
  • 1
    • 0002122056 scopus 로고
    • A study of pupils' proof explanations in mathematical situations
    • Bell A.W. A study of pupils' proof explanations in mathematical situations Educational Studies in Mathematics 7 1976 23-40
    • (1976) Educational Studies in Mathematics , vol.7 , pp. 23-40
    • Bell, A.W.1
  • 3
    • 0040669797 scopus 로고
    • Type of generalization in instruction: Logical and psychological problems in the structuring of school curricula
    • J. Kilpatrick (Ed.), Reston, VA: National Council of Teachers of Mathematics
    • Davydov V.V. (1990). Type of generalization in instruction: Logical and psychological problems in the structuring of school curricula. In: J. Kilpatrick (Ed.), Soviet studies in mathematics education (Vol. 2). Reston, VA: National Council of Teachers of Mathematics.
    • (1990) Soviet Studies in Mathematics Education , vol.2
    • Davydov, V.V.1
  • 4
    • 0002263487 scopus 로고
    • Constructive aspects of reflective abstraction in advanced mathematics
    • L. P. Steffe (Ed.) New York: Springer-Verlag
    • Dubinsky E. (1991). Constructive aspects of reflective abstraction in advanced mathematics. In: L. P. Steffe (Ed.) Epistemological foundations of mathematical experience (pp. 160-187). New York: Springer-Verlag.
    • (1991) Epistemological Foundations of Mathematical Experience , pp. 160-187
    • Dubinsky, E.1
  • 5
    • 2942596880 scopus 로고    scopus 로고
    • The last recreations
    • New York: Springer-Verlag
    • Gardner M. (1997). The last recreations. New York: Springer-Verlag.
    • (1997)
    • Gardner, M.1
  • 8
    • 0004240310 scopus 로고
    • The society of mind
    • New York: Simon & Schuster Inc
    • Minsky M. (1985). The society of mind. New York: Simon & Schuster Inc.
    • (1985)
    • Minsky, M.1
  • 9
    • 0010985582 scopus 로고
    • Abstraction, generalization and conceptual change in mathematics
    • Mitchelmore M. Abstraction, generalization and conceptual change in mathematics Hiroshima Journal of Mathematics Education 2 1993 45-57
    • (1993) Hiroshima Journal of Mathematics Education , vol.2 , pp. 45-57
    • Mitchelmore, M.1
  • 10
    • 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
  • 12
    • 0004112394 scopus 로고
    • Edinburgh: Edinburgh University Press
    • Piaget J. (1971). Biology and knowledge. Edinburgh: Edinburgh University Press.
    • (1971) Biology and Knowledge
    • Piaget, J.1
  • 13
    • 0003752618 scopus 로고
    • The child's conception of the world
    • Totowa, NJ: Littlefield, Adams
    • Piaget J. (1975). The child's conception of the world. Totowa, NJ: Littlefield, Adams.
    • (1975)
    • Piaget, J.1
  • 17
    • 2942591342 scopus 로고    scopus 로고
    • Mathematical giftedness problem solving and the ability to formulate generalizations
    • Sriraman B. Mathematical giftedness problem solving and the ability to formulate generalizations The Journal of Secondary Gifted Education XIV 3 2003 151-165
    • (2003) The Journal of Secondary Gifted Education , vol.14 , Issue.3 , pp. 151-165
    • Sriraman, B.1
  • 18
    • 2942566957 scopus 로고    scopus 로고
    • Discovering Steiner Triple Systems via problem solving
    • Sriraman B. Discovering Steiner Triple Systems via problem solving The Mathematics Teacher 95 2004 320-326
    • (2004) The Mathematics Teacher , vol.95 , pp. 320-326
    • Sriraman, B.1
  • 19
    • 33747894306 scopus 로고    scopus 로고
    • Combinatorial mathematics: Research into practice
    • in press
    • Sriraman B. & English L. (2004). Combinatorial mathematics: research into practice. The Mathematics Teacher, in press.
    • (2004) The Mathematics Teacher
    • Sriraman, B.1    English, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.