• Title/Summary/Keyword: Mathematical Beliefs

검색결과 109건 처리시간 0.021초

역사 발생적 원리와 구성주의

  • 김종명
    • 한국수학사학회지
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    • 제13권1호
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    • pp.49-62
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    • 2000
  • In this paper we analyzed the histo-genetic principle and constructivism on the mathematics education. This study is tried to suggest teacher's a role in mathematics learning and to find out the teacher's mathematical beliefs on the mathematics education be based on the histo-genetic principle and constructivism.

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"이해만 됐다면 수학은..." -어느 초등 교사의 이해 중심의 수학지도- ("Once Mathematics is Understood, Then..." -An Elementary Teacher′s Teaching of Mathematics with Understanding-)

  • 조정수
    • 한국수학교육학회지시리즈A:수학교육
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    • 제41권2호
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    • pp.173-187
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    • 2002
  • The purpose of this study through ethnographic inquiry is to describe how an elementary teacher teaches mathematics with understanding. The ways that teachers'beliefs affect instructional activities, what means understanding from the view of cognitive psychology, and ethnographic research tradition were reviewed to anchor theoretical background of this study. A third-grade teacher and his 45 students were selected in order to capture vivid and thick descriptions of the teaching and learning activities of mathematics. Three major sources of data, that is, participant-observation with video taping, formal and informal interviews with the teacher and his students, and a variety of official documents were collected. These data were analyzed through two phases: data analysis in the field and after the fieldwork. According to data analysis, ‘teaching mathematics with understanding’ was identified as the teachers central belief of teaching mathematics. In order to implement his belief in teaching practices, the teacher made use of three strategies: ⑴ valuing individual student's own way of understanding, ⑵ bring students' everyday experiences into mathematics classroom, and ⑶ lesson objectivies stated by students. It is suggested for future research that concrete and specific norms of mathematics classroom for the improvement of mathematics understanding are needed to be identified and that experienced and skillful teachers' practical knowledge should be incorporated with theories of teaching mathematics and necessarily paid more attention by mathematics educators.

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An Elementary Teacher's Practical Knowledge of Using mathematical Tasks for Promoting Students' Understanding and Discourse

  • Cho, Cheong-Soo
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제6권1호
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    • pp.39-51
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    • 2002
  • This study described an elementary teacher's practical knowledge of selecting and using mathematical tasks for promoting students' understanding and discourse. The informant of this ethnographic inquiry was a third grade teacher and has 10 years of teaching experience. According to the analysis of multiple data sources, this study showed that based on his beliefs about the development of understanding of mathematics and discourse, he continually employed two different types of tasks: open-ended tasks and tasks from students' mistakes and comments during discourse. Teachers' practical knowledge of teaching mathematics and the classroom norms for students' understanding and discourse are suggested to be given attention for further research on this area.

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수학 교실의 이원론적 신념과 그 극복을 위한 교수방안 고찰 (Dualism in mathematics classroom and some teaching strategies for overcoming students' dualistic beliefs)

  • 이지현
    • 한국학교수학회논문집
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    • 제19권3호
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    • pp.261-275
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    • 2016
  • 많은 학생들이 수학에는 하나의 정답이 존재하며, 수학 수업은 교사로부터 문제를 푸는 방법을 전달받는 수동적 과정이라는 이원론적 신념을 가지고 있다. 이 연구는 인식론적 신념의 개념화와 발달에 대한 교육심리학의 여러 연구를 고찰하고, 이를 바탕으로 수학적 사실 및 절차를 절대적이고 확실한 것으로 제시하며 학생의 오류도 절대적인 방식으로 다루는 통상적인 수학 교수 관행의 인식론적 한계를 살펴보고 그에 대한 대안을 탐색하였다. Langer와 Piper(1987)의 실험 및 Oliveira 외(2012) 등의 교실 관찰 연구는 교사가 지식을 불확실성을 허용하는 조건부적 언어로 제시하고 논의하는 것이 학생들의 인식론적 신념을 생산적인 방향으로 유도할 수 있다는 가능성을 제시하고 있다. 한편, 학생의 오류에 대한 교실 의사소통의 초점과 패턴의 변화는 수학 교실을 지배하는 이원론적 신념의 극복에 도움이 될 수 있다. 이상의 논의는 수학 수업이 암묵적으로 전달하는 인식론적 메시지의 분석 및 학생들의 인식론적 신념 발달을 자극하는 교수 전략을 탐색하는 데 토대를 제공할 수 있을 것이다.

초등 교사의 수학 및 수학 교수-학습에 대한 신념의 변화 (The Consideration of Elementary Teachers' Beliefs on Mathematics)

  • 임해경;추신해;김정은
    • 한국초등수학교육학회지
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    • 제14권1호
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    • pp.103-121
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    • 2010
  • 초등교사의 수학과 수학 교수-학습에 대한 신념을 알아보고자 세 가지의 연구문제를 설정하였고, 연구문제의 해답을 찾기 위한 방법으로 선택형과 서술형 문항을 개발하여 설문 결과를 분석하였으며, 그 외에 면담과 관찰을 통하여 자료를 수집하였다. 연구 결과로서 각각의 문항에 대한 통계처리 자료를 일목요연하게 표로 나타내었고, 문항 별로 특이한 점에 대하여 논의를 하였다. 연구 결과 중 특이한 점은 "생활과 수학"과목을 수강한 후 수학에 대한 신념의 변화가 현저하게 나타남을 볼 수 있었다.

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Attitudes toward Mathematics and Mathematics Self-Efficacy on a Learning Community Model: A Case Study

  • Ryang, Dohyoung
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제13권2호
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    • pp.109-122
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    • 2009
  • This study investigates the change in two theoretical constructs, attitudes toward mathematics and mathematics self-efficacy, among college students involved in a learning community model. The case of this study was a developmental mathematics class offered at a historically black college located in the southeastern United States. Subjects included 31 students enrolled in an introductory mathematics course, some of whom participated in a learning community (treatment group). The participants completed mathematics attitudes and mathematics efficacy instruments twice: at the beginning of the semester and again at the end. Data was analyzed using descriptive statistics and a non-parametric statistic. The results showed that students' attitudes toward mathematics and mathematics self-efficacy are strongly correlated; the mathematical problem-solving efficacy changed significantly over time and it is significantly higher in the treatment group than in the control group; and the treatment group produced better outcomes. These findings indicate that a learning community model can increase students' mathematics self-efficacy beliefs. It is recommended that mathematics self-efficacy and attitudes toward mathematics be measured over an extended period of time when a learning community is implemented.

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예비 초등 교사들의 분수 나눗셈에 대한 지식 분석 (An Analysis on the Prospective Elementary Teachers' Knowledge in the Case of Division of Fractions)

  • 방정숙
    • 한국수학교육학회지시리즈A:수학교육
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    • 제47권3호
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    • pp.291-310
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    • 2008
  • This article is based on an international collaborative study that aimed to investigate mathematical preparation of prospective elementary teachers in several selected education systems in East Asia. This article reports the Korean portion of the study. A survey instrument was developed to explore not only prospective teachers' knowledge of elementary mathematics curriculum and their beliefs in their preparation and mathematics instruction but also their subject matter knowledge and pedagogical content knowledge on the topic of fraction division. A total of 291 seniors in 3 universities participated in the survey. The results reveal these prospective teachers' strengths and weaknesses with regard to their knowledge of fraction division, and suggest that content-specific pedagogical knowledge needs to be emphasized in the teacher preparation program.

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Examination of Prospective Teachers' Perceptions on Mathematical Concepts and Their Potential Teaching Strategies

  • Lee, Ji-Eun
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제18권1호
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    • pp.55-74
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    • 2014
  • This study examined the potential teaching strategies of prospective elementary teachers and their perceptions of the procedural/conceptual nature of examples. Fifty-four prospective teachers participated in this study, engaging in two-phase tasks. Analysis of data indicated that: (a) Overall, the participants' perceptions were geared toward putting emphasis on conceptual understanding rather than procedural understanding; but (b) Generally, procedure-oriented strategies were more frequently incorporated in participants' potential teaching plans. This implied that participants' preconceived ideas regarding math examples were not always reliable indicators of their potential teaching strategies. Implications and suggestions for mathematics teacher preparation are discussed.

Social Construction of Mathematics Understanding among Student Peers in Small Group Settings

  • Cho, Cheong-Soo
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제3권2호
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    • pp.89-98
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    • 1999
  • The purpose of this review of literature is to investigate what kinds of research have been done on social construction of mathematics understanding among elementary students in small groups. Only empirical studies were reviewed, and then grouping was done in terms of the purpose of the study. This grouping identified three categories: 1) Social and mathematical norms in mathematics classroom, 2) Teaching productive communication behaviors for active learning in small group, and 3) Participation roles and communication behaviors in different group structure. To enhance social construction of mathematics understanding in small group settings two suggestions are made: the importance of the selection of collaborative tasks or problems and teachers' beliefs about mathematics and the teaching an learning of mathematics.

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부모의 양육신념, 양육태도 및 양육행동이 유아의 다중지능에 미치는 영향 (Impact of the Parental Beliefs, Parental Attitude and Parental Behavior of Parents on the Multiple Intelligences of Preschoolers)

  • 하순련;서현아
    • 한국보육지원학회지
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    • 제9권5호
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    • pp.131-156
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    • 2013
  • 본 연구는 유아부모의 양육신념과 양육태도 및 양육행동의 각 변인들의 중요성에 관한 충분한 이해와 또한 이들 간의 관련성을 살펴보고, 이를 통해 유아의 흥미와 관심, 강점과 약점 등 유아의 구체적인 욕구를 중심으로 유아의 다중지능 경험을 보다 통합적으로 실천할 수 있는 기반을 마련하고자 하였다. 이를 위해 유아부모들을 대상으로 설문조사를 실시하고, 변인 간의 관계를 알아보기 위하여 다중회귀분석을 실시하였다. 그 결과, 첫째, 유아의 성별에 따른 다중지능의 차이를 살펴본 결과, 유아의 성별구분에 따라 언어지능, 음악지능, 논리수학지능, 공간지능에서 유의미한 차이가 있는 것으로 나타났으며, 언어지능, 음악지능, 공간지능은 여아가 높은 수준을 나타냈으나 논리수학지능은 남아가 높은 수준으로 나타났다. 둘째, 유아 연령에 따른 다중지능의 차이를 살펴본 결과, 유아의 연령구분에 따라 전체 다중지능가운데 논리수학지능, 신체운동지능, 자연지능에서 만 5세 유아가 만 4세 유아와 비교하여 높은 수준을 보여주었다. 셋째, 유아부모의 양육신념, 양육태도, 양육행동이 유아 다중지능의 각 하위변인에 미치는 상대적 영향력을 알아보기 위한 중다회귀분석 결과, 전체적으로 유아 다중지능의 가장 큰 변인은 유아부모의 양육태도였으며, 그 다음이 유아부모의 양육행동이었으며, 양육신념은 극히 영향력이 적은 것으로 나타났다. 따라서 본 연구는 유아의 다중지능을 향상시키기 위하여 부모의 양육태도 및 양육행동을 증진시킬 수 있는 다양한 지원이 요구됨을 알 수 있다.