• Journal of the Korean School Mathematics Society
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• v.13 no.1
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• pp.163-184
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• 2010

In this paper, we study the effects on mathematical communication and disposition for the writing mathematics letters in secondary mathematics education. For this purpose we construct a experimental class and then analyse the students' change in those aspects after applying writing mathematics letters made some significant changes on the students communication in mathematics and disposition. First. the results for this purpose on regarding the enhancement of mathematical communication are effective. Second, the results on regarding the improvement of disposition are effective.

• School Mathematics
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• v.6 no.4
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• pp.373-388
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• 2004

This paper is to develop teaching procedures of low achievers in mathematics by using mindmaps. For this, we firstly set the teaching process on basis of literature research. And then we choose four subjects who had serious problems of both memory and mathematics achievement. we also choose the several topics of geometry and measure which could be a big burden of memory as stuff for mindmap activities. The results led us to that using mindmap activities in learning and teaching mathematics could effect on that kind of students' mathematical achievement and mathematical attitude as well as retention of mathematical concepts. It implied that we could develop individual programs for students who have different problems in learning mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.63-81
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• 2014

Korean students have shown high achievements on the cognitive domain of mathematics in a range of international assessment tests. On the affective domain, however, significantly low achievements have been reported. Among the factors in the affective domain, this article discusses on the value of mathematics in the perspective of Michael Polanyi's philosophy, which centers personal knowledge and tacit knowing. Polanyi emphasizes abstractness and generalization in mathematics accompanied by intellectual beauty and passion. In his perspective, therefore, utilitarian aspects and usefulness of mathematics imparted through linguistic representations have limits in motivating students to learn mathematics. Students must be motivated from recognition of the value of mathematics formed through participating authentic mathematical problem solving activity with immersion, tension, confusion, passion, joy and the like.

• Journal for History of Mathematics
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• v.22 no.3
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• pp.187-206
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• 2009

On this study, the historical flow of the notation was briefly examined and the direction of mathematical investigation activity of the content of notation by analogy was explored and teaching learning materials were developed. Diverse mathematical facts were investigated on the basis of decimal system and binary system which are learned in middle school. First, the way of progressing analytic activity with algebraic material was examined. Second, on the basis of the notation which are learned in the first grade of middle school, the definition of the scale of a -notation, -a -notation, $\frac{1}{a}$notation, $\sqrt{a}$-notation was extended by analogy. The result of this study will be expected to establish the curriculum of mathematics and provide teaching and learning with the meaningful current events.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.245-263
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• 2013

Mathematical learning via projects, which enables the reconstruction of curriculum through integration and emphasizes the process of solving problems by posing questions, has attracted the attention of the department of mathematics. This research is aimed at exploring the link between mathematics and project learning by analyzing an example of student-oriented project 'the secrets of pyramid' focused on understanding 'triangle' specifically designed for forth graders. From 115-hour process of subject-oriented project, this study reinterpreted the mathematical meaning of only 24 hours directly related to mathematics, especially to figure exploration. Consequently, this problem solving involved a variety of geometric activities as a process, such as measuring an angle, constructing a triangle, etc. Thus students attempt to actively participate in the process, thereby allowing them to learn how to measure things more accurately. Moreover, project learning improved students' understanding on not only plane figures but solid figures. This indicates that by project learning, learning from given problems or contents can be extended to other mathematical areas.

• School Mathematics
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• v.5 no.2
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• pp.241-257
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• 2003

The goal of mathematics education in the 7-th national curriculum is focused on maximizing learning effectiveness through teaching mathematics, considering learning contents and levels appropriate to various levels of students' abilities. Thus, reduction of contents, learner-centered way of teaching, and multi-step differentiated learning are centered around the curriculum. However, in reality one of the most difficult problems mentioned by many inservice teachers is that students are not interested in school mathematics because some of them tended to learn mathematics in advance in private institutes and others felt difficult from school mathematics. Thus, alternative solutions are strongly required. When students are more interested in mathematics classes and instructional materials, as a more effective way of teaching, are appropriately used, problems mentioned above are expected to be solved. In order to solve problems, additionally, this study investigated the amount of time assigned to each area of mathematics textbooks from level 1-A to level 6-B, which are currently used in elementary school. This study also examined inservice teachers' views about how instructional materials should be used. This will be helpful on using and developing instructional materials, and it will lead to more exciting classes of mathematics. However, these teaching materials need to be carefully used regarding their relationships with pedagogical transfer, metacognitive movement, and localization.

• 전자공학회논문지 IE
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• v.48 no.1
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• pp.36-44
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• 2011

The purpose of this study was to develop the basic design principles for the engineering mathematics teaching model that supported college students to become collaborative problem solvers. For this purpose, the following four design principles were drawn from the steps of systems approach, especially with consideration of needs of engineering students, professors, curriculum and relevant research on mathematical education. As a result, the four design principles for the engineeering mathematics teaching model were drawn as follows: (1) Improve students' basic mathematical learning abilities through repetition and elaborative practice of the basic mathematical concepts and principles, (2) Develop students' problem solving abilities through collaborative projects or learning activities with peers, (3) Facilitate students' reflection and provide teacher's monitoring and prompt feedback during their learning process, and (4) Build up online learning environments that enable students to become self-regulated learners.

• Communications of Mathematical Education
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• v.33 no.2
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• pp.85-104
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• 2019

The purpose of this study is to analyze the tasks developed through task development activities with emphasis on mathematical connectivity, and to provide implications for teacher education to enhance teacher's competence. For this purpose, I analyzed the task developed by 52 pre-teachers through the activities. As a result, they combined mathematics with 'other subjects', 'mathematics', 'phenomenon', 'technology' and 'real life'. And they also made various internal connections of 'Different representation', 'Part-whole relationship', 'Implication', 'Procedure', and 'Instruction-oriented connection'. From the point of view of teacher knowledge, the study revealed that CCK and SCK were positive in terms of 'logical' and 'expression', and KCT as 'strategic' was meaningful but disappointing in diversity; however in terms of 'level', the KCS was limited due to tasks that did not meet the level of students. As such, this analysis reveals that teachers continue to struggle with understanding students' level, but exhibit little difficulty with 'logic', 'expression' and 'strategy. This being the case, teacher education needs to place additional emphasis in understanding students' levels and planning corresponding activities.

• School Mathematics
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• v.18 no.3
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• pp.691-709
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• 2016

Understanding the belief of mathematics pre-service teachers is essential in conducting and designing the effective teacher education program. This study analyzed the mathematical belief of the elementary school pre-service teachers. The results of the study are as follows. First, persistence factor, which is the belief about solving mathematical problems, following teacher direction factor, which is the belief about mathematical studies, activity involvement factor, and interest factor, which is the belief about self-concept, showed much connection with other mathematical belief factors. Second, the stereotype factor, which is the belief about mathematics, are affecting the following teacher direction factor. The process factor, which is the belief about solving mathematical problems, are affecting the activity involvement factor. Third, as for the comparison of the mathematical beliefs according to grades, only the stereotype and usefulness factors, which are the beliefs about mathematics, and the benefit factor, which is the belief about self-concept, had statistically significant differences. Fourth, as for the comparison of the mathematical beliefs according to majors, all the mathematical beliefs except for the confidence factor and benefit factor, which is the belief about self-concept, had significant differences. Based on the results of this study, we need to establish the mathematical beliefs that the elementary school pre-service teachers should have, and prepare various measures such as education program for pre-service teachers and instruction-learning methods.

• Proceedings of the Korea Information Processing Society Conference
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• 2006.05a
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• pp.767-770
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• 2006

초등학교에서의 컴퓨터 교육의 방향은 컴퓨터의 원리를 바르게 이해하고 활용하며, 이를 통해 문제해결능력을 기르는 것이다. 본 논문에서는 컴퓨터의 원리 중에서 가장 중요한 알고리즘 개념에 대하여 초등학교 4학년 수학-나 여러 가지 문제 푸는 방법 찾기 단원을 기반으로 문제중심활동 방법을 이용하여 수업을 설계하고 현장에 적용하였다. 적용 결과를 통하여, 수학문제를 이용한 알고리즘 학습이 기존의 교수방법보다 효과가 있음을 보인다.