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    CAS 그래핑 계산기의 임베디드 시각화를 통한 함수의 극한 지도 방안 탐색 = Exploring a Teaching Method of Limits of Functions with Embodied Visualization of CAS Graphing Calculators

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    https://www.riss.kr/link?id=A82505192

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    The purpose of this study is to explore a teaching method of limits of functions with more intuitive and visual of CAS graphing calculators rather than with the rigorous ε - δ method. Texas Instruments Voyage200 CAS graphing calculators are used for studying the possibility of the use of technology in calculus course. For this, various related theoretical constructs are reviewed: concept image, concept definition, cognitive conflict, the use of visualization of technology for calculus concepts, the theory of APOS, and local straightness. Based on such theoretical constructs this study suggests a teaching method of limits of functions with embodied visualization of CAS graphing calculators.
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    The purpose of this study is to explore a teaching method of limits of functions with more intuitive and visual of CAS graphing calculators rather than with the rigorous ε - δ method. Texas Instruments Voyage200 CAS graphing calculators are used for...

    The purpose of this study is to explore a teaching method of limits of functions with more intuitive and visual of CAS graphing calculators rather than with the rigorous ε - δ method. Texas Instruments Voyage200 CAS graphing calculators are used for studying the possibility of the use of technology in calculus course. For this, various related theoretical constructs are reviewed: concept image, concept definition, cognitive conflict, the use of visualization of technology for calculus concepts, the theory of APOS, and local straightness. Based on such theoretical constructs this study suggests a teaching method of limits of functions with embodied visualization of CAS graphing calculators.

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    참고문헌 (Reference)

    1 윌리엄 던햄, "수학의 천재들" 경문사 2004

    2 Lakoff, G, "Where mathematics comes from: How the embodied mind brings mathematics into being" Basic Books 2000

    3 Cottrill, J., "Understanding the limit concept: Beginning with a coordinated process scheme" 15 : 167-192, 1996

    4 Vinner,S, "The role of definitions in the teaching and learning mathematics in Advanced mathematical thinking" Kluwer Academic Publishers 65-81, 1991

    5 Tall, D, "Technology and calculus in Research on technology and the teaching and learning of mathematics: Volume 1" Information Age Publishing 207-258, 2008

    6 Pinto,M.M.F, "Students' understanding of real analysis" Warwick University 1998

    7 Dubinsky, Ed, "Some historical issues and paradoxes regarding the concept of infinity: An APOS-based analysis: Part 1" 58 : 335-359, 2005

    8 Tall,D, "Real mathematics, rational computers and complex people" Addison-Wesley 243-258, 1993

    9 Tall,D, "Natural and formal infinities" 48 : 199-238, 2002

    10 Williams,S, "Models of limit held by college calculus students" 22 : 219-236, 1991

    1 윌리엄 던햄, "수학의 천재들" 경문사 2004

    2 Lakoff, G, "Where mathematics comes from: How the embodied mind brings mathematics into being" Basic Books 2000

    3 Cottrill, J., "Understanding the limit concept: Beginning with a coordinated process scheme" 15 : 167-192, 1996

    4 Vinner,S, "The role of definitions in the teaching and learning mathematics in Advanced mathematical thinking" Kluwer Academic Publishers 65-81, 1991

    5 Tall, D, "Technology and calculus in Research on technology and the teaching and learning of mathematics: Volume 1" Information Age Publishing 207-258, 2008

    6 Pinto,M.M.F, "Students' understanding of real analysis" Warwick University 1998

    7 Dubinsky, Ed, "Some historical issues and paradoxes regarding the concept of infinity: An APOS-based analysis: Part 1" 58 : 335-359, 2005

    8 Tall,D, "Real mathematics, rational computers and complex people" Addison-Wesley 243-258, 1993

    9 Tall,D, "Natural and formal infinities" 48 : 199-238, 2002

    10 Williams,S, "Models of limit held by college calculus students" 22 : 219-236, 1991

    11 Tall,D, "Mathematical intuition, with special reference to limiting processes" 170-176, 1980

    12 Wood,N.G, "Mathematical analysis: A comparison of students development and historical development" Cambridge University 1992

    13 Cornu.B, "Limits" Kluwer Academic Publishers 153-166, 1991

    14 Tall, D, "Concept image and concept definition in mathematics with particular reference to limits and continuity" 12 : 151-169, 1981

    15 Tall,D, "Cognitive development in advanced mathematics using technology" 12 : 196-218, 2001

    16 Smith D. A., "Calculus:Modeling and application" Houghton Mifflin 1996

    17 Artigue,M, "Analysis" Kluwer Academic Publishers 167-198, 1991

    18 Monaghan,J.D, "Adolescents' understanding of limits and infinity" Warwick University 1986

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    2026 평가 재인증평가 신청대상 (재인증)
    2020-01-01 등재 등재학술지 유지 (재인증) KCI등재
    2017-01-01 등재 등재학술지 유지 (계속평가) KCI등재
    2013-01-01 등재 등재학술지 유지 (등재유지) KCI등재
    2010-01-01 등재 등재학술지 선정 (등재후보2차) KCI등재
    2009-01-01 등재 등재후보 1차 PASS (등재후보1차) KCI등재후보
    2007-01-01 등재 등재후보학술지 선정 (신규평가) KCI등재후보
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    기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
    2016 0.97 0.97 1.13
    KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
    1.13 0.97 1.51 0.26
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