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Volumn 5, Issue 2, 2005, Pages 241-252

The embodied, proceptual, and formal worlds in the context of functions

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EID: 85011463438     PISSN: 14926156     EISSN: 19424051     Source Type: Journal    
DOI: 10.1080/14926150509556656     Document Type: Article
Times cited : (4)

References (17)
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    • Crete: Wiley
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    • (2002) Proceedings in the 10Th ICME Conference
    • Christou, C.1    Zachariades, T.H.2    Papageorgiou, E.3
  • 2
    • 21344483370 scopus 로고
    • Duality, ambiguity and flexibility: A proceptual view of simple arithmetic
    • Gray, E.M., & Tall, D.O. (1994). Duality, ambiguity and flexibility: A proceptual view of simple arithmetic. Journal for Research in Mathematics Education, 26(2), 115-141.
    • (1994) Journal for Research in Mathematics Education , vol.26 , Issue.2 , pp. 115-141
    • Gray, E.M.1    Tall, D.O.2
  • 5
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    • Difficulties in the articulation of different representations linked to the concept of function
    • Hitt, F. (1998). Difficulties in the articulation of different representations linked to the concept of function. Journal of Mathematical Behavior, 77(1), 123-134.
    • (1998) Journal of Mathematical Behavior , vol.77 , Issue.1 , pp. 123-134
    • Hitt, F.1
  • 9
    • 0002796699 scopus 로고
    • Teachers’ mathematical knowledge of the concept of function
    • E. Dubinsky & G. Harel (Eds.), Washington, DC: Mathematical Association of America
    • Norman, A. (1992). Teachers’ mathematical knowledge of the concept of function. In E. Dubinsky & G. Harel (Eds.), The concept of function: Aspects of epistemology and pedagogy (pp. 215-232). Washington, DC: Mathematical Association of America.
    • (1992) The Concept of Function: Aspects of Epistemology and Pedagogy , pp. 215-232
    • Norman, A.1
  • 10
    • 0002447711 scopus 로고
    • Operational origins of mathematical objects and the quandary of reification: The case of function
    • E. Dubinsky & G. Harel (Eds.), Washington, DC: Mathematical Association of America
    • Sfard, A. (1992). Operational origins of mathematical objects and the quandary of reification: The case of function. In E. Dubinsky & G. Harel (Eds.), The concept of function: Aspects of epistemology and pedagogy (pp. 59-84). Washington, DC: Mathematical Association of America.
    • (1992) The Concept of Function: Aspects of Epistemology and Pedagogy , pp. 59-84
    • Sfard, A.1
  • 11
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    • Using technology to support an embodied approach to learning concepts in mathematics
    • L.M. Carvalho and L.C. Guimaraes (Eds.), Rio de Janeiro, Brasil: Universidade Federal de Rio de Janiero
    • Tall, D.O. (2003). Using technology to support an embodied approach to learning concepts in mathematics. In L.M. Carvalho and L.C. Guimaraes (Eds.), Historia e Tecnologia no Ensino da Matemdtica (Vol. 1, pp. 1-28). Rio de Janeiro, Brasil: Universidade Federal de Rio de Janiero.
    • (2003) Historia E Tecnologia No Ensino Da Matemdtica , vol.1 , pp. 1-28
    • Tall, D.O.1
  • 12
    • 33751090126 scopus 로고    scopus 로고
    • Building theories-The three worlds of mathematics: A comment on Inglis
    • Tall, D.O. (2004). Building theories-The three worlds of mathematics: A comment on Inglis. For the Learning of Mathematics, 23(3), 29-32.
    • (2004) For the Learning of Mathematics , vol.23 , Issue.3 , pp. 29-32
    • Tall, D.O.1
  • 14
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    • The function concept as a prototype for problems in mathematics learning
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    • Vinner, S. (1992). The function concept as a prototype for problems in mathematics learning. In E. Dubinsky & G. Harel (Eds.), The concept of function: Aspects of epistemology and pedagogy (pp. 195-214). Washington, DC: Mathematical Association of America.
    • (1992) The Concept of Function: Aspects of Epistemology and Pedagogy , pp. 195-214
    • Vinner, S.1
  • 15
    • 37649014583 scopus 로고    scopus 로고
    • The relationship between physical embodiment and mathematical symbolism: The concept of vector
    • Watson, A., Spirou, P., & Tall, D. (2002). The relationship between physical embodiment and mathematical symbolism: The concept of vector. Mediterranean Journal for Research in Mathematics Education, 7(2), 73-97.
    • (2002) Mediterranean Journal for Research in Mathematics Education , vol.7 , Issue.2 , pp. 73-97
    • Watson, A.1    Spirou, P.2    Tall, D.3
  • 17
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    • Designing representations: Reasoning about functions of two variables
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    • (1997) Journal for Research in Mathematics Education , vol.27 , Issue.4 , pp. 431-466
    • Yerushalmy, M.1


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