• Journal of the Korean Data and Information Science Society
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• 제27권2호
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• pp.295-304
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• 2016

본 논문에서는 초등학생을 대상으로 수학관의 요인을 규명하고, 이들 하위 요인에 대해 학년 및 성별 차이를 알아보았다. 수학관의 하위요인들로는 자신감, 유용성, 수학의 거부감, 활용능력, 전통적 수학 학습관이라는 5개의 하위 요인으로 설명되어진다. 그리고 3학년, 6학년 각각을 대상으로 수학관에 대한 요인분석을 실시하여 학년 간 요인의 특성을 알아보았다. 분석 결과 요인들은 조사대상자가 처한 상황과 특성에 따라 다를 수 있음을 알 수 있었다. 3학년이 6학년보다 자신감과 활용능력 측면에서 보다 긍정적임을 알 수 있었으며, 이는 곧 현장의 수학교육은 수학함이 실행되고, 수학 학습 방법을 강화하여 지도하는 것이 필요함을 시사하는 것임을 알 수 있다.

• 한국초등수학교육학회지
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• 제24권3호
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• pp.259-277
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• 2020

본 연구의 목적은 초등학교 교사들의 수학적 신념 측정도구를 개발하는 것이다. 초등학교 교사 299명의 수학적 신념을 30문항을 통해 분석하였다: 수학에 대한 신념 12 문항, 수학 교수에 관한 신념 18 문항. 탐색적 요인분석을 통해 (n = 149) 수학적 신념의 요인 구조를 탐색하였다. 또한 확인적 요인분석을 통해 (n = 150) 서로 다른 세 모델의 요인 구조를 비교 분석하였다. 분석 결과 14개 문항으로 구성된 네 개의 요인 구조가 데이타를 가장 잘 설명하는 것으로 나타났다: 전달적 수학관(transmissive view of mathematics), 구성주의적 수학관(constructivist view of mathematics), 전달적 수학 교수관(transmissive view of teaching and learning), 구성주의적 수학 교수관(constructivist view of teaching and learning). 본 연구의 결과를 바탕으로 개발된 측정도구가 초등학교 교사의 수학적 신념을 측정하기 위한 타당성과 신뢰성을 갖춘 것으로 나타났다. 이를 토대로 본 연구의 시사점을 논의하였다.

• 대한수학교육학회지:학교수학
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• 제1권2호
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• pp.605-615
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• 1999

In this paper, we explain the pedagogical phenomena appeared in the learning of 0.$\dot{9}$ = 1 in terms of its intrinsic mathematical structure, and investigate the reason why such phenomena happen. Also we analyze such phenomena through the dialogue between student and teacher, and present some instruction idea from the mathematical and educational view points.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제2권1호
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• pp.15-26
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• 1998

Teachers beliefs for the mathematics can have a powerful impact on how children go about learning mathematics, and theirs mathematical beliefs and abilities. In this study, \circled1 to divided teacher's mathematical beliefs into three - absolutism, progressive absolutism, constructivism - and to search into a theoretical characteristic, \circled2 to analyze and criticize the problems of the behaviorism and to investigate a point of basic view of the constructivism on mathematics education, \circled3 to suggest teacher's a role in mathematics learning be based on the constructivism perspective .

• 한국수학교육학회지시리즈A:수학교육
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• 제43권4호
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• pp.405-417
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• 2004

This study is on the use of mathematics program for School Mathematics Education. According to the ‘technology principle’ by NCTM and teaching-learning methods by the 7th curriculum, we developed mathematics learning activities with mathematics program. This activity is to construct designs with graphs by using mathematics program(GrafEq.). In this study, we practiced these learning activities with pre-service mathematics teachers. The mathematics educational effects of these learning activities in this study are analyzed as follows; active & spontaneous search for mathematical knowledge, the experience of problem solving, affirmative view-point of mathematics, understanding of practical use of mathematics, acquisition an interest & motivation of learning mathematics etc. When students learn graphs of function, the concept of inequality in secondary school mathematics class., mathematics teachers can make a good use of constructing designs by mathematics program(GrafEq.). This will help to practice of teaching-learning methods by the 7th curriculum.

• 대한수학교육학회지:수학교육학연구
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• 제10권2호
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• pp.229-246
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• 2000

The purpose of this paper is to compare and analyze the two different teaching methods of elementary mathematics in the traditional method and in the constructive view. To do so, the actual class in the constructive view has been made for about four months using a class of 45 students in the second grade of an elementary school. After the class was finished, we collected diverse data from the class, such as the responses from the children(self-evaluation, mathematics diary, observation by the investigator, daily report), class evaluation report by other teacher and so on. The results of this research are as follows: First, the traditional class reaches at the goal of learning in a unit time because the class is guided by the teacher but the class in the constructive view is a little flexible because it is contextual. Second, in the constructive process of mathematical knowledge we knew that small group activities or discussion without intervention of teacher was often ended in exhaustive argument without arriving at valid social consensus. Third, the attitude in mathematics was changed from the passive one to the self-regulated ones. Fourth, the class in the constructive view could extend not only the ability of mathematical communication but also the ability of self-directed learning of children. Fifth, it was a considerable change the role of teacher, that is, guide of instruction instead of unique specialist in the classroom. Sixth, finally, the evaluation was made after finishing a unit class in the traditional instruction but it was integrated in a class in a constructive view.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권5호
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• pp.683-696
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• 2003

In this paper, we propose an authoring methodology of differentiated instruction-learning materials in mathematics course using MathML and XSLT, and give utilizing suggestions of these materials as differentiated textbook and individual learning. Incorporating MathML into instruction-learning materials, there are many advantages such that view of the materials in web browser is improved since mathematical expressions are compatible with text, and an expression can be modified in more convenient way since the expression is represented in text format not an image. In authoring of differentiated materials, the author provides one document for various levels of students. Then, each level of materials is generated from the document via XSLT transformation. This enables author-driven progress control rather than student-driven which does in previous approaches, since students don't need to select components of the material.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제15권3호
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• pp.1015-1029
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• 2021

Modern technology offers many ways to enhance teaching and learning that in turn promote the development of tools for educational activities both inside and outside the classroom. Many educational programs using the augmented reality (AR) technology are being widely used to provide supplementary learning materials for students. This paper describes the potential and challenges of using GeoGebra AR in mathematical studies, whereby students can view 3D geometric objects for a better understanding of their structure, and verifies the feasibility of its use based on experimental results. The GeoGebra software can be used to draw geometric objects, and 3D geometric objects can be viewed using AR software or AR applications on mobile phones or computer tablets. These could provide some of the required materials for mathematical education at high schools or universities. The use of the GeoGebra application for education in Laos will be particularly discussed in this paper.

• 한국수학교육학회지시리즈A:수학교육
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• 제43권4호
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• pp.399-404
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• 2004

Mathematical creativity is a main topic which is studied within mathematics education. Also it is important in learning school mathematics. It can be important for mathematics teachers to view mathematical creativity as an disposition toward mathematical activity that can be fostered broadly in the general classroom environment. In this article, it is discussed that creativity-enriched mathematics instruction which includes creative problem-solving and problem-posing tasks and activities can be guided more creative approaches to school mathematics via routine problems.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권2호
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• pp.121-135
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• 2003

This article retrospects the developmental process of the psychology of learning and its' influence on mathematics education. At the end of the article, brain-based learning science is introduced to examine its possibility to improve the psychology of learning mathematics. Behaviorists points of views such as Skinner, Guthrie, and Gagne were summarized to discuss the influences on the learning and teaching of mathematics. Gestalt' theories and Constructivism are also included in the discussion of developmental process of learning psychology. In elaboration of the brain-based learning science, recent research findings and the possibility of it's impact on mathematics education were discussed. Since mathematics itself is the most abstract subject it could be more challenging to identify the teaming process of mathematics compared with other areas. The possibilities of identifying the teaming process of mathematics are cautiously anticipated with a help of new paradigm.