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    수학 수업에서 드러나는 교사 지식을 분석하기 위한 틀로서의 교사 지식의 사중주(Knowledge Quartet) = The Knowledge Quartet as a framework of analyzing teacher knowledge in mathematics instruction

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    The purpose of this study was to introduce the Knowledge Quartet (KQ) framework by which we can analyze teacher knowledge revealed in teaching mathematics. Specifically, this paper addressed how the KQ framework has been developed and employed in the context of research on teacher knowledge. In order to make the framework accessible, this paper analyzed an elementary school teacher`s knowledge in teaching her fifth grade students how to figure out the area of a trapezoid using the four dimensions of the KQ (i.e.,foundation, transformation, connection, and contingency). This paper is expected to provide mathematics educators with a basis of understanding the nature of teacher knowledge in teaching mathematics and to induce further detailed analyses of teacher knowledge using some dimensions of the KQ framework.
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    The purpose of this study was to introduce the Knowledge Quartet (KQ) framework by which we can analyze teacher knowledge revealed in teaching mathematics. Specifically, this paper addressed how the KQ framework has been developed and employed in the ...

    The purpose of this study was to introduce the Knowledge Quartet (KQ) framework by which we can analyze teacher knowledge revealed in teaching mathematics. Specifically, this paper addressed how the KQ framework has been developed and employed in the context of research on teacher knowledge. In order to make the framework accessible, this paper analyzed an elementary school teacher`s knowledge in teaching her fifth grade students how to figure out the area of a trapezoid using the four dimensions of the KQ (i.e.,foundation, transformation, connection, and contingency). This paper is expected to provide mathematics educators with a basis of understanding the nature of teacher knowledge in teaching mathematics and to induce further detailed analyses of teacher knowledge using some dimensions of the KQ framework.

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    참고문헌 (Reference)

    1 안선영, "평면도형의 넓이에 대한 교사의 수학적 내용 지식과 수업 실제 분석" 대한수학교육학회 16 (16): 25-41, 2006

    2 박경미, "수학의 교수학적 내용 지식(PCK)에 대한 연구의 메타적 검토" 한국수학교육학회 48 (48): 93-105, 2009

    3 최승현, "수학과 내용 교수 지식(PCK)의 의미 및 분석틀 개발에 관한 연구" 한국학교수학회 11 (11): 569-593, 2008

    4 김보민, "분수에 대한 교사의 PCK와 수업 실제의 비교 분석" 대한수학교육학회 13 (13): 675-696, 2011

    5 권민성, "미국의 선다형 문항 적용을 통한 우리나라 초등 교사의 수학을 가르치는데 필요한 지식 분석" 한국수학교육학회 48 (48): 399-417, 2009

    6 Ball, D.L, "What does it take to make a teacher?" 92 (92): 8-12, 2010

    7 Turner, F., "Using the Knowledge Quartet to develop mathematics content knowledge: the role of reflection on professional development" 14 (14): 253-271, 2012

    8 Rowland, T, "Triggers of contingency in mathematics teaching" PME 4 : 73-80, 2011

    9 Kwon, M, "To change or not to change: adapting mathematical knowledge for teaching (MKT) measures for use in Korea" 44 (44): 371-385, 2012

    10 Shulman, L, "Those who understand, knowledge growth in teaching" 15 (15): 4-14, 1986

    1 안선영, "평면도형의 넓이에 대한 교사의 수학적 내용 지식과 수업 실제 분석" 대한수학교육학회 16 (16): 25-41, 2006

    2 박경미, "수학의 교수학적 내용 지식(PCK)에 대한 연구의 메타적 검토" 한국수학교육학회 48 (48): 93-105, 2009

    3 최승현, "수학과 내용 교수 지식(PCK)의 의미 및 분석틀 개발에 관한 연구" 한국학교수학회 11 (11): 569-593, 2008

    4 김보민, "분수에 대한 교사의 PCK와 수업 실제의 비교 분석" 대한수학교육학회 13 (13): 675-696, 2011

    5 권민성, "미국의 선다형 문항 적용을 통한 우리나라 초등 교사의 수학을 가르치는데 필요한 지식 분석" 한국수학교육학회 48 (48): 399-417, 2009

    6 Ball, D.L, "What does it take to make a teacher?" 92 (92): 8-12, 2010

    7 Turner, F., "Using the Knowledge Quartet to develop mathematics content knowledge: the role of reflection on professional development" 14 (14): 253-271, 2012

    8 Rowland, T, "Triggers of contingency in mathematics teaching" PME 4 : 73-80, 2011

    9 Kwon, M, "To change or not to change: adapting mathematical knowledge for teaching (MKT) measures for use in Korea" 44 (44): 371-385, 2012

    10 Shulman, L, "Those who understand, knowledge growth in teaching" 15 (15): 4-14, 1986

    11 Turner, F, "The mathematics content knowledge of beginning teachers" CERME 2004-2013, 2007

    12 Rowland, T, "The knowledge quartet" 23 (23): 97-103, 2003

    13 Turner, F, "The Knowledge Quartet as an organising framework for developing and deepening teachers' mathematics knowledge, In Mathematical Knowledge in Teaching" Springer 195-212, 2011

    14 Ball, D. L, "Teaching skillful teaching" 68 (68): 40-45, 2010

    15 Fennema, E, "Teachers’ knowledge and its impact, In Handbook of research on mathematics teaching and learning" Macmillan 147-164, 1992

    16 Even, R, "Teacher knowledge and teaching: Considering the connections between perspectives and findings" PME 1 : 147-148, 2009

    17 Rowland, T, "Researching teachers' mathematics disciplinary knowledge, In International handbook of mathematics teacher education: Vol.1. Knowledge and beliefs in mathematics teaching and teaching development" Sense Publishers 273-298, 2008

    18 Rowland, T, "Reflecting on prospective elementary teachers’ mathematics content knowledge: The Case of Laura" PME 4 : 121-128, 2004

    19 Kleve. B, "Literacy in mathematics: A challenge for teachers in their work with pupils" 2011

    20 Rowland, T, "Knowledge for teaching: contrasting elementary and secondary mathematics" 1841-1850, 2010

    21 Shulman, L.S, "Knowledge and teaching : Foundations of the new reform" 57 (57): 1-22, 1987

    22 Ma, L, "Knowing and teaching elementary mathematics: teachers' understanding of fundamental mathematics in China and the United States" Lawrence Erlbaum Associates 1999

    23 Hodgen, J, "Knowing and identity: A situated theory of mathematics knowledge in teaching, In Mathematical Knowledge in Teaching" Springer 27-42, 2011

    24 Rowland, T, "Frogs and ski-slopes: contrasting knowledge for elementary and secondary mathematics teaching, In Mathematics Education Research at the University of Cyprus and the University of Cambridge" University of Cyprus 185-201, 2010

    25 Baroody, A. J, "Fostering children's mathematical power: An investigative approach to K-8 mathematics instruction" Lawrence Erlbaum Associates 1998

    26 Rowland, T, "Elementary Teachers' Mathematics Subject Knowledge: The Knowledge Quartet and the Case of Naomi" 8 (8): 255-281, 2005

    27 Rowland, T, "Developing primary mathematics teaching" SAGE 2009

    28 Rowland, T, "Developing and using the 'knowledge quartet': a framework for the observation of mathematics teaching" 10 (10): 107-124, 2007

    29 Weston, T. L, "Developing an online coding manual for The Knowledge Quartet: An international project" 32 (32): 179-184, 2012

    30 Ball, D. L, "Content knowledge for teaching: What makes it s pecial?" 59 (59): 389-407, 2008

    31 Petrou, M, "Conceptualising teachers’ mathematical knowledge in teaching, In Mathematical Knowledge in Teaching" Springer 9-25, 2011

    32 Steinbring, H, "Changed views on mathematical knowledge in the course of didactical thoery development: Independent corpus of scientific knowledge or result of social constructions?, In Mathematical Knowledge in Teaching" Springer 43-64, 2011

    33 Kleve. B, "Aspects of a teacher’s mathematical knowledge on a lesson on fractions" 29 (29): 67-72, 2009

    34 Thawaites, A, "Analysing secondary mathematics teaching with the Knowledge Quartet" 13 (13): 227-228, 2011

    35 Petrou, M, "Adapting the knowledge quartet in the Cypriot mathematics classroom" 2020-2029, 2009

    36 Livy, S, "A ‘knowledge quartet’ used to identify a second-year pre-service teacher’s primary mathematical content knowledge" MERGA 2011

    37 Rowland, T, "A framework for the observation and review of mathematics teaching" 18 : 3-17, 2006

    38 Smith, M. S, "5 practices for orchestrating productive mathematics discussions" NCTM 2011

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