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    증명학습에 대한 학생들의 성향과 GSP를 활용한 증명학습 = Students' attitudes toward learning proofs and learning proofs with GSP

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    The purposes of this study were to investigate what attitudes students have toward learning proofs and what difficulties they have in learning proofs, and to examine how the use of dynamic geometry software, the Geometer's Sketchpad, helps students' proof learning. The study involved 117 9th graders in 2 high schools. According to questionnaire data, over 50 percent of the total respondents(116) indicated negative attitudes toward learning proofs, on the other hand, only 16 percent of the total respondents indicated positive attitudes toward the learning. Memorizing and remembering many kinds of theorems, definitions, and postulates to use in proving statements was the most difficult part in learning proofs, which the largest proportion of the total respondents indicated. The study found that the use of the Geometer's Sketchpad played positive roles in developing students' understanding of proofs and stimulating students' interests in learning proofs.
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    The purposes of this study were to investigate what attitudes students have toward learning proofs and what difficulties they have in learning proofs, and to examine how the use of dynamic geometry software, the Geometer's Sketchpad, helps students' p...

    The purposes of this study were to investigate what attitudes students have toward learning proofs and what difficulties they have in learning proofs, and to examine how the use of dynamic geometry software, the Geometer's Sketchpad, helps students' proof learning. The study involved 117 9th graders in 2 high schools. According to questionnaire data, over 50 percent of the total respondents(116) indicated negative attitudes toward learning proofs, on the other hand, only 16 percent of the total respondents indicated positive attitudes toward the learning. Memorizing and remembering many kinds of theorems, definitions, and postulates to use in proving statements was the most difficult part in learning proofs, which the largest proportion of the total respondents indicated. The study found that the use of the Geometer's Sketchpad played positive roles in developing students' understanding of proofs and stimulating students' interests in learning proofs.

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    참고문헌 (Reference)

    1 류성림, "피아제의 균형화 모델에 의한 증명의 지도 방법 탐" 한국교원대학교 1998

    2 류희찬, "증명의 필요성 이해와 탐구형 기하 소프트웨어의 활용, 수학교육학연구" 9 (9): 419-438, 1999

    3 나귀수, "증명의 본질과 지도 실제의 분석-중학교 기하단원을 중심으로" 서울대학교 1998

    4 우정호, "증명 지도의 재음미" 4 (4): 3-24, 1994

    5 서동엽, "중학교 학생의 증명 능력 분석, 수학교육학연구" 9 (9): 183-203, 1999

    6 Usiskin,Z., "van Hiele levels and achievement in secondary school geometry" University of Chicago 1982

    7 Crowley, M. L., "The van Hiele model of the development of geometric thought in : Learning and teaching geometry" NCTM 1-16, 1987

    8 van Hiele P.M., "The child's thought and geometry in : English translation of selected writings of Dina van Hiele-Geldof and Pierre M. van Hieles" Booklyn College 243-252, 1984

    9 Jackiw,N., "The Geometer's Sketchpad (Version 4.0) [Computer software]"

    10 Connell, M. L., "Technology in constructivist mathematics classrooms" 17 (17): 311-338, 1998

    1 류성림, "피아제의 균형화 모델에 의한 증명의 지도 방법 탐" 한국교원대학교 1998

    2 류희찬, "증명의 필요성 이해와 탐구형 기하 소프트웨어의 활용, 수학교육학연구" 9 (9): 419-438, 1999

    3 나귀수, "증명의 본질과 지도 실제의 분석-중학교 기하단원을 중심으로" 서울대학교 1998

    4 우정호, "증명 지도의 재음미" 4 (4): 3-24, 1994

    5 서동엽, "중학교 학생의 증명 능력 분석, 수학교육학연구" 9 (9): 183-203, 1999

    6 Usiskin,Z., "van Hiele levels and achievement in secondary school geometry" University of Chicago 1982

    7 Crowley, M. L., "The van Hiele model of the development of geometric thought in : Learning and teaching geometry" NCTM 1-16, 1987

    8 van Hiele P.M., "The child's thought and geometry in : English translation of selected writings of Dina van Hiele-Geldof and Pierre M. van Hieles" Booklyn College 243-252, 1984

    9 Jackiw,N., "The Geometer's Sketchpad (Version 4.0) [Computer software]"

    10 Connell, M. L., "Technology in constructivist mathematics classrooms" 17 (17): 311-338, 1998

    11 de Villiers, M., "Rethinking proof with the Geometer's Sketchpad" Key Curriculum Press 1999

    12 Kahan,J., "Relationships among mathematical proof, high-school students, and a reform curriculum. Doctoral dissertation, University of Mayland"

    13 Marrades, R., "Proofs produced by secondary school students learning geometry in a dynamic computer environment" 44 : 87-125, 2000

    14 National Council of Teachers of Mathematics, "Principles and standards for school mathematics" NCTM 2000

    15 Fennema, E., "Learning mathematics with understanding: Cognitively guided instruction in : Advances in research on teaching" JAI Press 195-221, 1989

    16 Simon, M., "Justification in the mathematics classroom: A study of prospective elementary teachers" 15 : 3-31, 1996

    17 Tall, D. O., "Intuition and rigor: The role of visualization in the calculus in : Visualization in teaching and learning mathematics" MAA Notes Series #19 105-119, 1991

    18 Senk, S. L., "How well do students write geometry proofs" 78 (78): 448-456, 1985

    19 Chazan,D., "High school geometry students' justification for their views of empirical evidence and mathematical proof" 24 : 359-387, 1993

    20 Scher,D., "Folded paper, dynamic geometry, and proof: A three-tier approach to the conics" 89 (89): 188-193, 1996

    21 Edwards,L., "Exploring the territory before proof: Students' generalizations in a computer microworld for transformation geometry" 2 : 187-215, 1997

    22 Bennett, D., "Exploring geometry with the Geometer's Sketchpad" Key Curriculum Press 2002

    23 National Council of Teachers of Mathematics, "Curriculum and evaluation standards for school mathematics" NCTM 1989

    24 Reys, R., "Assessing the impact of standards-based middle grades mathematics curriculum materials on the student achievement" 34 (34): 74-95, 2003

    25 Galindo, E., "Assessing justification and proof in geometry classes taught using dynamic software" 91 (91): 76-81, 1998

    26 Laborde,C, "A new generation of diagrams in dynamic geometry software. Paper presented at the 18th conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, Panama City, FL"

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    학술지 이력

    학술지 이력
    연월일 이력구분 이력상세 등재구분
    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 등재 1차 FAIL (등재유지) KCI등재
    2010-01-01 등재 등재학술지 유지 (등재유지) KCI등재
    2007-01-01 등재 등재학술지 선정 (등재후보2차) KCI등재
    2006-01-01 등재 등재후보 1차 PASS (등재후보1차) KCI등재후보
    2004-07-01 등재 등재후보학술지 선정 (신규평가) KCI등재후보
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    학술지 인용정보

    학술지 인용정보
    기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
    2016 0.77 0.77 0.74
    KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
    0.67 0.67 1.103 0.04
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