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Volumn , Issue , 2008, Pages 43-52

The concept of accumulation in calculus

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EID: 84928359259     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.5948/UPO9780883859759.005     Document Type: Chapter
Times cited : (76)

References (22)
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  • 5
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    • The notion of limit: Some seemingly unavoidable misconception stages
    • Davis, R. B., & Vinner, S. (1986). The notion of limit: Some seemingly unavoidable misconception stages. Journal of Mathematical Behavior, 5(3), 281–303.
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  • 6
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    • The nature of the process conception of function
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    • Dubinsky, E., & Harel, G. (1992). The nature of the process conception of function. In G. Harel & E. Dubinsky (Eds.), The concept of function: Aspects of epistemology and pedagogy (pp. 85–106). Washington, D. C.: Mathematical Association of America.
    • (1992) The Concept of Function: Aspects of Epistemology and Pedagogy , pp. 85-106
    • Dubinsky, E.1    Harel, G.2
  • 7
    • 0002395817 scopus 로고
    • Research in calculus learning: Understanding of limits, derivatives, and integrals
    • In J. J. Kaput & E. Dubinsky (Eds.), Washington, D. C.: Mathematical Association of America
    • Ferrini-Mundy, J., & Graham, K. (1994). Research in calculus learning: Understanding of limits, derivatives, and integrals. In J. J. Kaput & E. Dubinsky (Eds.), Research issues in undergraduate mathematics learning. Washington, D. C.: Mathematical Association of America.
    • (1994) Research Issues in Undergraduate Mathematics Learning
    • Ferrini-Mundy, J.1    Graham, K.2
  • 8
    • 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, 25(2), 116–140.
    • (1994) Journal for Research in Mathematics Education , vol.25 , Issue.2 , pp. 116-140
    • Gray, E.M.1    Tall, D.O.2
  • 9
    • 84928371796 scopus 로고    scopus 로고
    • Gottfried wilhelm von leibniz
    • Retrieved January 2, 2006, from
    • O’Connor, J. J., & Robertson, E. F. (2005). Gottfried Wilhelm von Leibniz. The MacTutor History of Mathematics Archive Retrieved January 2, 2006, from www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Leibniz.html
    • (2005) The Mactutor History of Mathematics Archive
    • O’Connor, J.J.1    Robertson, E.F.2
  • 13
    • 0002038327 scopus 로고
    • The transition to advanced mathematical thinking: Functions, limits, infinity and proof
    • In D. Grouws (Ed.), New York: Macmillan
    • Tall, D. (1992). The transition to advanced mathematical thinking: Functions, limits, infinity and proof. In D. Grouws (Ed.), Handbook for research on mathematics teaching and learning (pp. 495–514). New York: Macmillan.
    • (1992) Handbook for Research on Mathematics Teaching and Learning , pp. 495-514
    • Tall, D.1
  • 14
    • 0000213855 scopus 로고
    • Concept images and concept definitions in mathematics with particular reference to limits and continuity
    • Tall, D., & Vinner, S. (1981). Concept images and concept definitions in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics, 12, 151–169.
    • (1981) Educational Studies in Mathematics , vol.12 , pp. 151-169
    • Tall, D.1    Vinner, S.2
  • 15
    • 1542438872 scopus 로고    scopus 로고
    • Talking about rates conceptually, part ii: Mathematical knowledge for teaching
    • Thompson, A. G., & Thompson, P. W. (1996). Talking about rates conceptually, Part II: Mathematical knowledge for teaching. Journal for Research in Mathematics Education, 27(1), 2–24.
    • (1996) Journal for Research in Mathematics Education , vol.27 , Issue.1 , pp. 2-24
    • Thompson, A.G.1    Thompson, P.W.2
  • 16
    • 0000019871 scopus 로고
    • Images of rate and operational understanding of the fundamental theorem of calculus
    • Thompson, P. W. (1994a). Images of rate and operational understanding of the Fundamental Theorem of Calculus. Educational Studies in Mathematics, 26(2-3), 229–274.
    • (1994) Educational Studies in Mathematics , vol.26 , Issue.2-3 , pp. 229-274
    • Thompson, P.W.1
  • 17
    • 0003130954 scopus 로고
    • Students, functions, and the undergraduate mathematics curriculum
    • In E. Dubinsky, A.H. Schoenfeld & J. J. Kaput (Eds.), Providence, RI: American Mathematical Society
    • Thompson, P. W. (1994b). Students, functions, and the undergraduate mathematics curriculum. In E. Dubinsky, A.H. Schoenfeld & J. J. Kaput (Eds.), Research in Collegiate Mathematics Education, 1 (Vol. 4, pp. 21–44). Providence, RI: American Mathematical Society.
    • (1994) Research in Collegiate Mathematics Education, 1 , vol.4 , pp. 21-44
    • Thompson, P.W.1
  • 18
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    • The development of the concept of speed and its relationship to concepts of rate
    • In G. Harel & J. Confrey (Eds.), Albany, NY: SUNY Press
    • Thompson, P. W. (1994c). The development of the concept of speed and its relationship to concepts of rate. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 179–234).Albany, NY: SUNY Press.
    • (1994) The Development of Multiplicative Reasoning in the Learning of Mathematics , pp. 179-234
    • Thompson, P.W.1
  • 20
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    • Pseudo-conceptual and pseudo-analytic thought processes in mathematics learning
    • Vinner, S. (1997). Pseudo-conceptual and pseudo-analytic thought processes in mathematics learning. Educational Studies in Mathematics, 34, 97–129.
    • (1997) Educational Studies in Mathematics , vol.34 , pp. 97-129
    • Vinner, S.1
  • 22


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.