• 제목/요약/키워드: mathematics skills

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핵심역량에 기초한 중학교 수학 수업 방안 탐색 -수학 영재 수업을 중심으로- (Schemes to incorporate key competencies for the gifted in the middle school math teaching)

  • 최승현;박지현;남금천
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제27권2호
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    • pp.99-119
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    • 2013
  • 본 연구는 기존에 교육과정 총론 수준에서 논의되고 있던 핵심역량을 수학 교과 수업에 적용할 수 있는 방안을 탐색하는 것을 목적으로 하고 있다. 특히 창의성이나 문제해결력과 관련된 수학적 능력은 뛰어나지만 대인관계 능력과 의사소통능력이 부족할 수 있는 수학 영재를 연구 대상으로 하여, 그들의 역량이 신장되어가는 과정을 분석하였다. 이를 위해 그래프를 내용 목표로 선정하고, 대인관계능력과 의사소통능력을 역량 목표로 설정하여 이 두 가지 목표를 달성하기 위한 핵심역량 기반 수업을 설계하고 이를 실제 수업에 적용하였다. 수업 참여 관찰을 통해 수학 영재 학생들의 학습 과정에서 대인관계능력과 의사소통능력이 신장되는 것을 확인 수 있었으며, 그 이외의 역량들이 복합적으로 함께 신장되는 것을 확인하였다. 이러한 결과는 역량 목표가 수학 수업에서도 달성될 수 있다는 가능성을 나타내는 것으로, 앞으로 이에 대한 좀 더 심층적인 연구가 필요할 것이라 생각된다.

국제 공통의 초등 수학 내용 요소 추출 (Global Common Knowledge and Skills in Elementary Mathematics)

  • 최지선;상경아
    • 대한수학교육학회지:학교수학
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    • 제17권1호
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    • pp.119-134
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    • 2015
  • 국제사회는 세계 모든 아동이 달성해야 할 학습성과를 설정하고 이를 측정하려는 일련의 노력을 기울이고 있다. 연구진은 이러한 국제사회의 관점에 초점을 맞추어, 초등교육단계에서 세계 모든 아동이 달성해야 할 수학 학습성과란 무엇인가를 구체화하려고 하였다. 이러한 측면에서 본 연구는 범세계적으로 초등교육 단계에서 아동이 성취하기를 기대하는 수학 내용 요소를 추출하는 것을 목적으로 하였다. 이를 위하여 지리적, 경제적 특성을 고려하여 세계 12개국의 수학과 교육과정 문서를 분석하였다. 본 연구의 결과, 초등교육의 범위를 초등학교 6학년까지라고 가정할 수 있었고, 공통 내용 요소를 추출할 수 있었다. 특히 수와 연산 영역의 내용 요소들은 범세계적으로 동일한 수준인 것으로 밝혀졌다. 기하, 측정, 대수 영역에서도 유사한 수준으로 내용 요소들이 나타났다. 반면, 비례와 대수는 초등 교육 마지막 단계에서 다루어지는 내용이지만 공통 내용 영역 혹은 내용 요소로 보기에 한계가 있었다. 이 연구 결과는 범세계적으로 초등 교육을 논의하는데 중요한 기초 자료 역할을 할 것으로 기대된다.

Pre-service teachers' perceptions of Mathematics as a language

  • Timor, Tsafi;Patkin, Dorit
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제14권3호
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    • pp.233-247
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    • 2010
  • The article deals with the perceptions of Mathematics as a language of pre-service teachers of Mathematics in a College of Education in Israel. The formal language of studying in the College of Education is Hebrew. The goals of the study were to examine the perceptions of pre-service teachers on the following issues: the language components involved in learning Mathematics, the basic cognitive skills required for learning Mathematics, and the perception of Mathematics as a language (PML). Findings indicated that due to new attitudes in mathematical training, pre-service teachers of Mathematics perceived Mathematics as a language regarding all language components.

Notes on "Perpetual Question" of Problem Solving: How Can Learners Best Be Taught Problem-Solving Skills?

  • Oleksiy, Yevdokimov;Peter, Taylor
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제12권3호
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    • pp.179-191
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    • 2008
  • Although problem solving was a major focus of mathematics education research in many countries throughout the 1990s, not enough is known about how people best acquire problem-solving skills. This paper is an attempt to advance further development of problem-solving skills of talented school students through combination of some methods accessible from curriculum knowledge and more special techniques that are beyond curriculum. Analysis of various problems is provided in detail. Educational aspects of challenging problems in mathematical contests up to IMO level are, also, taken into account and discussed in the paper.

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The 'Two Basics' Mathematics Teaching Approach and the Open Ended Problem Solving in China

  • Zhang, Dianzhou;Dai, Zaiping
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제8권3호
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    • pp.123-144
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    • 2004
  • There is a tradition of advocating the 'two basics' (basic knowledge and basic skills) in Chinese mathematics education. The direct consequence is that Chinese students are able to produce excellent performance in the international mathematics examinations and outstanding results in the international mathematics competitions. In this article, we will present why and how Chinese teachers teach the 'two basics,' and how combine the pupil's creativity with their 'two basics.' Open ended problem solving is a way to meet the goal. The following topics will be concerned: Culture background; the speed of computation; 'make perfect' ; Efficiency in classroom; Balance between 'two basics' and personal development. In Particular, Chinese mathematics educators pay more attentions to the link between open ended problem solving and the 'two basics' principal.

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직업기초역량으로서의 수리 활용 능력 향상을 위한 보정 학습 프로그램 개발 (A Remedial Education Programs to Improve Mathematics Applying Abilities as one of Core Competencies)

  • 최승현;류현아;남금천
    • 한국학교수학회논문집
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    • 제16권4호
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    • pp.655-674
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    • 2013
  • 현재의 학업성취도 평가가 직업교육이 목적인 특성화고에 적절치 못하다는 현장의 요구를 수용하여 교육과학기술부(2012)는 2013년부터 특성화고 학생의 직업역량 강화를 위해 직업기초능력평가를 도입하기로 하였다. 이 평가의 결과는 인증서로 제공되어 취업 과정에 활용될 수 있게 된다. 이에 본 연구의 목적은 특성화고 학생들의 기초학력을 신장시키고 나아가 이후 학생들이 직업 세계에 적응할 수 있도록 지원하는 수학학습 지원 자료를 개발하는 데 있다. 특성화고 학생들은 수학 기초학력 부족으로 직업기초능력평가에 어려움이 많을 것으로 보여, 이 학생들의 잠재력이 최대한 발휘될 수 있도록 효율적인 수학학습이 이루어져야 할 것이다. 이를 위해 초등학교에서 중학교 3학년까지 수학과 교육과정 지도 내용에서 이후 특성화고 학생들에게 요구되는 수리 활용 능력 학습 요소를 추출하였다. 이를 근거로 내용 영역별 단계 및 하위 레벨을 구성하고, 해당 학습 요소를 구성하여 내용 영역별 학습 요소를 체계화하여 직업기초능력을 향상시킬 수 있는 수리 활용 능력 향상을 위한 프로그램을 개발하였다.

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Students Opportunities to Develop Scientific Argumentation in the Context of Scientific Inquiry: A Review of Literature

  • Flick, Larry;Park, Young-Shin
    • 한국지구과학회지
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    • 제25권3호
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    • pp.194-204
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    • 2004
  • The purpose of this literature review is to investigate what kinds of research have been done about scientific inquiry in terms of scientific argumentation in the classroom context from the upper elementary to the high school levels. First, science educators argued that there had not been differentiation between authentic scientific inquiry by scientists and school scientific inquiry by students in the classroom. This uncertainty of goals or definition of scientific inquiry has led to the problem or limitation of implementing scientific inquiry in the classroom. It was also pointed out that students' learning science as inquiry has been done without opportunities of argumentation to understand how scientific knowledge is constructed. Second, what is scientific argumentation, then? Researchers stated that scientific inquiry in the classroom cannot be guaranteed only through hands-on experimentation. Students can understand how scientific knowledge is constructed through their reasoning skills using opportunities of argumentation based on their procedural skills using opportunities of experimentation. Third, many researchers emphasized the social practices of small or whole group work for enhancing students' scientific reasoning skills through argumentations. Different role of leadership in groups and existence of teachers' roles are found to have potential in enhancing students' scientific reasoning skills to understand science as inquiry. Fourth, what is scientific reasoning? Scientific reasoning is defined as an ability to differentiate evidence or data from theory and coordinate them to construct their scientific knowledge based on their collection of data (Kuhn, 1989, 1992; Dunbar & Klahr, 1988, 1989; Reif & Larkin, 1991). Those researchers found that students skills in scientific reasoning are different from scientists. Fifth, for the purpose of enhancing students' scientific reasoning skills to understand how scientific knowledge is constructed, other researchers suggested that teachers' roles in scaffolding could help students develop those skills. Based on this literature review, it is important to find what kinds of generalizable teaching strategies teachers use for students scientific reasoning skills through scientific argumentation and investigate teachers' knowledge of scientific argumentation in the context of scientific inquiry. The relationship between teachers' knowledge and their teaching strategies and between teachers teaching strategies and students scientific reasoning skills can be found out if there is any.

탐구 지향 미분방정식 교수-학습의 효과 분석 (Effects of Inquiry-oriented Differential Equations Instruction Based on the Realistic Mathematics Education)

  • 권오남;주미경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제44권3호
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    • pp.375-396
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    • 2005
  • This paper reports on the main results of 3 study that compared students' beliefs, skills, and understandings in an innovative approach to differential equations to more conventional approaches. The innovative approach, referred to as the Realistic Mathematics Education Based Differential Equations (IODE) project, capitalizes on advances within the discipline of mathematics and on advances within the discipline of mathematics education, both at the K-12 and tertiary levels. Given the integrated leveraging of developments both within mathematics and mathematics education, the IODE project is paradigmatic of an approach to innovation in undergraduate mathematics, potentially sewing as a model for other undergraduate course reforms. The effect of the IODE projection maintaining desirable mathematical views and in developing students' skills and relational understandings as judged by the three assessment instruments was largely positive. These findings support our conjecture that, when coupled with careful attention to developments within mathematics itself, theoretical advances that initially grew out research in elementary school classrooms can be profitably leveraged and adapted to the university setting. As such, our work in differential equations may serve as a model for others interested in exploring the prospects and possibilities of improving undergraduate mathematics education in ways that connect with innovations at the K-12 level

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이공계위기, 산학협력, 직무능력표준 및 대학수학교육학 (Science-Engineering Education Crisis, Industry-University Co-op, Job-Skill-Standard and College Mathematics Education)

  • 정치봉
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제19권4호
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    • pp.649-670
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    • 2005
  • The university mathematics education has been in a crisis during the last 10 years. In recent years, the crisis is rapidly amplified with a science-engineering student resource downsizing. In korea, government and industry have intervent several supporting policies to treat the mathematics-science-engineering crisis in university education. In this article, policies and its contents about human reasource development, industry-university co-ops, national skills standards are presented in context of university mathematics education.

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