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Volumn , Issue , 2008, Pages 65-80

Layers of abstraction: Theory and design for the instruction of limit concepts

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EID: 84928359408     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.5948/UPO9780883859759.007     Document Type: Chapter
Times cited : (26)

References (27)
  • 1
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    • Analysis
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    • Artigue, M. (1991). Analysis. In D. Tall (Ed.) Advanced mathematical thinking. Boston: Kluwer, 167–198.
    • (1991) Advanced Mathematical Thinking , pp. 167-198
    • Artigue, M.1
  • 3
    • 84928356584 scopus 로고
    • Calculus at university high school
    • In Douglas, R.G. (Ed.), Washington, DC: Mathematical Association of America
    • Davis, R. (1986). Calculus at university high school. In Douglas, R.G. (Ed.). Toward a lean and lively calculus. Washington, DC: Mathematical Association of America.
    • (1986) Toward a Lean and Lively Calculus
    • Davis, R.1
  • 4
    • 85016697527 scopus 로고
    • Three approaches to undergraduate calculus instruction: Their nature and potential impact on students’ language use and sources of conviction
    • , Volume, American Mathematical Society
    • Frid, S. (1994). Three approaches to undergraduate calculus instruction: Their nature and potential impact on students’ language use and sources of conviction. Research in College Mathematics Education I, Conference Board of the Mathematical Society, Issues in Mathematics Education, Volume 4, American Mathematical Society, 69–100.
    • (1994) Research in College Mathematics Education I, Conference Board of the Mathematical Society, Issues in Mathematics Education , vol.4 , pp. 69-100
    • Frid, S.1
  • 7
    • 0000507908 scopus 로고
    • Students’ understanding of a function given by a physical model
    • In G. Harel & E. Dubinsky (Eds.), Washington, DC: Mathematical Association of America
    • Monk, G. (1992). Students’ understanding of a function given by a physical model. In G. Harel & E. Dubinsky (Eds.), The Concept of Function: Aspects of Epistemology and Pedagogy. MAA Notes, Volume 25. Washington, DC: Mathematical Association of America.
    • (1992) The Concept of Function: Aspects of Epistemology and Pedagogy. MAA Notes , vol.25
    • Monk, G.1
  • 17
    • 84928361602 scopus 로고
    • Some systemic weaknesses and the place of intuition and applications in calculus instruction
    • In R.G. Douglas (Ed.), Washington, DC: Mathematical Association of America
    • Rodi, S. (1986). Some systemic weaknesses and the place of intuition and applications in calculus instruction. In R.G. Douglas (Ed.). Toward a lean and lively calculus. Washington, DC: Mathematical Association of America.
    • (1986) Toward a Lean and Lively Calculus
    • Rodi, S.1
  • 19
  • 20
    • 0002010056 scopus 로고
    • Inconsistencies in the learning of calculus and analysis
    • Tall, D. (1990). Inconsistencies in the learning of calculus and analysis. Focus on learning problems in mathematics, 12, 49–62.
    • (1990) Focus on Learning Problems in Mathematics , vol.12 , pp. 49-62
    • Tall, D.1
  • 21
    • 0002038327 scopus 로고
    • The transition to advanced mathematical thinking: Functions, limits, infinity, and proof
    • In Grouws, D. (Ed.), New York: Macmillan
    • Tall, D. (1992). The transition to advanced mathematical thinking: Functions, limits, infinity, and proof. In Grouws, D. (Ed.), Handbook of research on mathematics teaching and learning (pp. 495–511). New York: Macmillan.
    • (1992) Handbook of Research on Mathematics Teaching and Learning , pp. 495-511
    • Tall, D.1
  • 22
    • 0000213855 scopus 로고
    • Concept image and concept definition in mathematics with particular reference to limits and continuity
    • Tall, D. & Vinner, S. (1981). Concept image and concept definition 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
  • 23
    • 0000019871 scopus 로고
    • Images of rate and operational understanding of the fundamental theorem of calculus
    • Thompson, P. (1994). Images of rate and operational understanding of the fundamental theorem of calculus. Educational Studies in Mathematics, 26, 229–274.
    • (1994) Educational Studies in Mathematics , vol.26 , pp. 229-274
    • Thompson, P.1
  • 24
    • 84928359029 scopus 로고
    • Calculus syllabi: Report of the content workshop
    • (Chair), In R. G. Douglas (Ed.), (pp.,). Washington, DC: The Mathematical Association of America
    • Tucker, T. (Chair), (1986). Calculus syllabi: Report of the content workshop. In R. G. Douglas (Ed.), Toward a lean and lively calculus (pp. vii–xiv). Washington, DC: The Mathematical Association of America.
    • (1986) Toward a Lean and Lively Calculus , pp. vii-xiv
    • Tucker, T.1
  • 26
    • 0000696311 scopus 로고
    • The development of scientific concepts in childhood
    • In R. W. Rieber and A. S. Carton (Eds.)
    • Vygotsky, L. (1987). The development of scientific concepts in childhood. In R. W. Rieber and A. S. Carton (Eds.), The collected works of L. S. Vygotsky. Vol. 1, 167–241.
    • (1987) The Collected Works of L. S. Vygotsky , vol.1 , pp. 167-241
    • Vygotsky, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.