• Communications of Mathematical Education
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• v.14
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• pp.469-475
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• 2001

21세기 지식 기반 사회를 준비하기 위한 신교육의 방향은 교사 중심의 교수 교육(teaching ed.)과 학생중심의 학습 교육(learning ed.)에서 교사와 학생이 함께 주도하는 사고중심 교육(thinking ed.)으로 옮겨가고 있다. 그리고 수학은 우리의 마음에 존재하는 모든 관념적 대상을 다루는 도구로서, 인간 사회의 여러 분야에서 인간의 사고를 도우며 인간이 직면하는 어려운 문제들을 합리적으로 풀어 나갈 수 있는 능력을 키우고 또 항상 새로운 것을 창조하는 학문이다. 이와 같이 창의적 사고를 필요로 하는 신교육 사조와 창조적 사고를 특정으로 하는 가장 유용하고 매력적인 수학은 본질적으로 서로 맥을 같이 하고 있다. 이런 관점에서 21세기 수학교육의 필요성은 더욱 중대되어 가고 있는 것이 국제적 추세이다. 그럼에도 불구하고 공교육 위기설이 나돌고 있는 우리 나라 중등교육 현장에서 수학교육의 나아갈 길은 과연 무엇인가?

• Communications of Mathematical Education
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• v.15
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• pp.23-28
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• 2003

실수계와 n-차원 벡터 공간을 대수적 특성, 순서적 특성 그리고 위상적 특성을 중심으로 전개하고, 실변수 실가 함수와 n-차원 벡터 공간을 정의역으로 하는 실가함수를 연속성 (미분가능성), 단조성 그리고 볼록성을 중심으로 내용을 다룬다. 특히 실생활과 관련하여 이론을 전개하여 학습을 지도할 수 있는 교육과정을 개발하고, 직관적인 사고와 수리 논리적인 사고의 적절한 배합을 통해 학습자들이 적극적으로 학습에 임할 수 있는 교수 학습 방법을 개발하는 것을 목적으로 한다.

• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.747-769
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• 2014

The purposes of this study were to investigate pre-service mathematics teachers' perceptions of the role of cooperating teachers and teacher interactions during teaching practicum. Thirty-four pre-service mathematics teachers who finished student teaching participated in the study. The researcher collected data from various sources such as a questionnaire, interviews, and written documents. According to the results of the study, more than 50 percent of the participants showed negative responses to all of the questionnaire items on teaching activities or guidance of cooperating teachers. Cooperating teachers mainly played a role in the stage of reflection of student teacher's teaching practice, and they provided specific feedback and guidance of teaching and learning methods and contents. Cooperating teachers played roles as (mathematics) teacher educators, classroom observers, and co-teachers, but their roles as teacher educators or co-teachers should be more stressed for pre-service mathematics teachers' professional development.

• School Mathematics
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• v.19 no.1
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• pp.189-208
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• 2017

The purpose of this study is to capture and explain the roles that signs and attention play in the fraction learning process, through a previous study that employs Deleuze's perspective on sign and the role of attention. From this case study of elementary school students, we found that signs are a prerequisite for learning and that learning takes place as different forms of attention shifts. The various types of semiotic resources used by teachers and students have been found to play an important role in coordinating collective attention between teachers and students.

• School Mathematics
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• v.4 no.3
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• pp.495-511
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• 2002

In this paper, we deal with the teaching of parameter in the school mathematics. The roles of letters become different according to the letters-used context. That is, the meaning of letters may change in the course of being used. But specifying the roles of letters without understanding the distinction between the roles is not enough for students to learn the meaning of variables, specifically that of parameters. Therefore, the parameter-learning should focus on the dynamic change of roles. That implies flexible thinking and changing of perspectives.

• Journal of Educational Research in Mathematics
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• v.19 no.3
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• pp.355-369
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• 2009

Though there is no agreement on the definition of analogical reasoning, there is no doubt that analogical reasoning is the means of mathematical knowledge construction. Mathematicians generally have a tendency or desire to find similarities between new and existing Ideas, and new and existing representations. They construct appropriate links to new ideas or new representations by focusing on common relational structures of mathematical situations rather than on superficial details. This focus is analogical reasoning at work in the construction of mathematical knowledge. Since analogical reasoning is the means by which mathematicians do mathematics and is close]y linked to measures of intelligence, it should be considered important in mathematics education. This study investigates how mathematicians used analogical reasoning, what role did it flay when they construct new concept or problem solving strategy.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.293-303
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• 2010

The purpose of this study is to classify a three-fold role of the history of mathematics through epistemological analysis. Based on the history of infinity and limit, the "potential infinity" and "actual infinity" discourses are described using four different historical epistemologies. The interdependence between the mathematical concepts is also addressed. By using these analyses, three different uses of the history of mathematical concepts, infinity and limit, are discussed: past, present, and future use.

• The Mathematical Education
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• v.46 no.4
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• pp.423-443
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• 2007

Based on the framework of Huffered-Ackles, Fuson and Sherin(2004), data were analyzed in terms of 3 components: explaining(E), questioning(Q) and justifying(J) of students' mathematical concepts and problem solving in a math classroom. The students used varied presentations to explain and justify their mathematical concepts and ideas. They corrected their mathematical errors or misconceptions through discourses. In addition, they constructed and clarified their concepts and thinking while they were interacted. We were able to recognize there was a special feature in discourses that encouraged the students to construct and develop their mathematical concepts. As they participated in math class and received feedback on their learning, the whole class worked cooperatively in a positive way. Their discourse was improved from the level of the actual development to the level of the potential development and the pattern of interaction moved from ERE(Elicitaion-Response-Elaboration to PD(Proposition Discussion).

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2007.06a
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• pp.29-32
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• 2007

• Communications of Mathematical Education
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• v.18 no.2 s.19
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• pp.427-440
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• 2004

Freudenthal의 수학화 이론에 대한 지금까지의 대부분의 연구는 이론의 탐색에 집중하고 이에 따른 학습 지도 방안과 자료개발에만 역점을 두었던 것이 그 한계점으로 지적되어져 왔다. 이에 본 연구자는 실제 이 이론이 어떻게 학습 현장에 적용될 수 있는지에 대해 첫째, Freudenthal의 수학화에 의한 도형 지도에서 학생이 어떻게 수학화를 이루어 가는지를 조사하였고, 둘째, 학습의 주체자인 학생들의 능동적인 활동을 강조한 수학화 과정에서 교수의 주체자인 교사는 학생들의 수학화가 원만히 이루어지게 하기 위하여 어떤 역할을 수행하게 되는지를 중학교 1학년 학생을 대상으로 사례연구를 실시하여 조사하였다.