• 한국수학교육학회지시리즈A:수학교육
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• 제49권2호
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• pp.223-246
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• 2010

Goos(2004) introduced educational researchers' demand for change on the way that mathematics is taught in schools and the series of curriculum documents produced by the National council of Teachers of Mathematics. The documents have placed emphasis on the processes of problem solving, reasoning, and communication. In Korea, the national curriculum documents have also placed increased emphasis on mathematical activities such as reasoning and communication(1997, 2007).The purpose of this study is to analyze the impact of inquiry-oriented instruction with guided reinvention on students' mathematical activities containing communication and reasoning for science high school students. In this paper, we introduce an inquiry-oriented instruction containing Polya's plausible reasoning, Freudenthal's guided reinvention, Forman's sociocultural approach of learning, and Vygotsky's zone of proximal development. We analyze the impact of mathematical findings from inquiry-oriented instruction on students' mathematical activities containing communication and reasoning.

• 한국학교수학회논문집
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• 제11권2호
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• pp.177-199
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• 2008

Streefland(Elbers, 2003)는 네덜란드에서 11세에서 13세 사이의 초등학생들을 대상으로 하는 탐구-집단(community of inquiry)의 구성과 활동에 관한 연구를 통하여 지식을 구성하는 과정에 학생들이 참여할 수 있도록 교사가 도울 수 있는 방법에 대한 해결책을 제시하고자 했다. Goos(2004)는 오스트레일리아의 고등학교 3학년 수학교실에서는 당연한 것으로 여겨진 탐구 문화를 고등학교 2학년 교실에서 교사가 어떻게 형성시키는지를 관찰과 인터뷰를 통하여 분석하였다. 한국에서는 대학입시 제도를 포함한 다양한 문제점들로 인하여 고등학교 학생들을 대상으로 하는 탐구-중심 수업에서 교사의 역할과 관련된 체계적인 연구는 거의 없었다. 본 연구에서는 과학고등학교 학생들을 대상으로 하는 탐구-중심 수업의 활성화를 위한 교사의 역할에 대하여 논의 하고자 한다. 이를 위하여 탐구-중심 수업 모델을 개발하고, 개발된 탐구-중심 수업 모델을 바탕으로 소집단별로 문제를 선정하고 해결하면서 학생 스스로 수학적인 활동을 할 수 있도록 안내하는 조력자로서의 교사의 역할에 관하여 탐색한다.

• 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