메뉴 건너뛰기




Volumn 38, Issue 7, 2007, Pages 927-937

Embodied, symbolic and formal thinking in linear algebra

Author keywords

APOS; Embodied; Linear algebra; Mathematics education; Object; Process; Representation; University

Indexed keywords


EID: 34648840494     PISSN: 0020739X     EISSN: 14645211     Source Type: Journal    
DOI: 10.1080/00207390701573335     Document Type: Article
Times cited : (14)

References (14)
  • 1
    • 4043113996 scopus 로고    scopus 로고
    • Teaching linear algebra: Must the fog always roll in?
    • D. Carlson, CR. Johnson, D.C. Lay, A.D. Porter, A. Watkins and W. Watkins Eds, Washington: Mathematical Association of America, pp
    • Carlson, D., 1997, Teaching linear algebra: must the fog always roll in? In: D. Carlson, CR. Johnson, D.C. Lay, A.D. Porter, A. Watkins and W. Watkins (Eds) Resources for Teaching Linear Algebra. MAA Notes, Vol. 42 (Washington: Mathematical Association of America), pp. 39-51.
    • (1997) Resources for Teaching Linear Algebra. MAA Notes , vol.42 , pp. 39-51
    • Carlson, D.1
  • 2
    • 4544224394 scopus 로고    scopus 로고
    • Research into the teaching and learning of linear algebra
    • D. Holton Ed, Dordrecht, Netherlands: Kluwer Academic Publishers, pp
    • Dorier, J.-L. and Sierpinska, A., 2001, Research into the teaching and learning of linear algebra. In: D. Holton (Ed.) The Teaching and Learning of Mathematics at University Level: An ICMI Study (Dordrecht, Netherlands: Kluwer Academic Publishers), pp. 255-273.
    • (2001) The Teaching and Learning of Mathematics at University Level: An ICMI Study , pp. 255-273
    • Dorier, J.-L.1    Sierpinska, A.2
  • 3
    • 34648863509 scopus 로고    scopus 로고
    • A study of relationships between theoretical thinking and high achievement in linear algebra
    • Available online at
    • Sierpinska, A., Nnadozie, A. and Okta, A., 2002, A study of relationships between theoretical thinking and high achievement in linear algebra. Unpublished research report. Available online at: http://alcor.concordia.ca/ ~sierp/downloadpapers.html
    • (2002) Unpublished research report
    • Sierpinska, A.1    Nnadozie, A.2    Okta, A.3
  • 6
    • 21344483370 scopus 로고
    • Duality, ambiguity & flexibility: A proceptual view of simple arithmetic
    • Gray, E. and Tall, D.O., 1994, Duality, ambiguity & flexibility: a proceptual view of simple arithmetic. Journal for Research in Mathematics Education, 26, 115-141.
    • (1994) Journal for Research in Mathematics Education , vol.26 , pp. 115-141
    • Gray, E.1    Tall, D.O.2
  • 7
    • 33751090126 scopus 로고    scopus 로고
    • Building theories: The three worlds of mathematics
    • Tall, D.O., 2004, Building theories: the three worlds of mathematics. For the Learning of Mathematics, 24(1), 29-32.
    • (2004) For the Learning of Mathematics , vol.24 , Issue.1 , pp. 29-32
    • Tall, D.O.1
  • 9
    • 27844578566 scopus 로고    scopus 로고
    • Relationships between embodied objects and symbolic procepts: An explanatory theory of success and failure in mathematics
    • M. van den Heuvel-Panhuizen Ed, Utrecht, Netherlands
    • Gray, E. and Tall, D.O., 2001, Relationships between embodied objects and symbolic procepts: an explanatory theory of success and failure in mathematics. In: M. van den Heuvel-Panhuizen (Ed.) Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education, Utrecht, Netherlands, Vol. 3, 65-72.
    • (2001) Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education , vol.3 , pp. 65-72
    • Gray, E.1    Tall, D.O.2
  • 11
    • 0742292832 scopus 로고    scopus 로고
    • Modes of description and the problem of representation in linear algebra
    • J.-L. Dorier Ed, Dordrecht, Netherlands: Kluwer Academic Publishers, pp
    • Hillel, J., 2000, Modes of description and the problem of representation in linear algebra. In: J.-L. Dorier (Ed.) The Teaching of Linear Algebra in Question (Dordrecht, Netherlands: Kluwer Academic Publishers), pp. 191-207.
    • (2000) The Teaching of Linear Algebra in Question , pp. 191-207
    • Hillel, J.1
  • 13
    • 1442326599 scopus 로고    scopus 로고
    • The development of representational abilities in middle school mathematics
    • I.E. Sigel Ed, Hillsdale, NJ: Lawrence Erlbaum Associates, pp
    • Lesh, R., 1999, The development of representational abilities in middle school mathematics. In: I.E. Sigel (Ed.) Development of Mental Representation: Theories and Application (Hillsdale, NJ: Lawrence Erlbaum Associates), pp. 323-350.
    • (1999) Development of Mental Representation: Theories and Application , pp. 323-350
    • Lesh, R.1
  • 14
    • 0032344717 scopus 로고    scopus 로고
    • The role of isomorphisms in mathematical cognition
    • Greer, B. and Harel, G., 1998, The role of isomorphisms in mathematical cognition. Journal of Mathematical Behavior, 17(1), 5-24.
    • (1998) Journal of Mathematical Behavior , vol.17 , Issue.1 , pp. 5-24
    • Greer, B.1    Harel, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.