• Journal of Educational Research in Mathematics
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• v.11 no.1
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• pp.89-102
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• 2001

Computer has been regarded as an alternative that could overcome the difficulties in the teaching and learning of mathematics. But the didactical problems of the computer-based environment for mathematics education could give us new obstacles. In this paper, first of all, we examined the application of the learning theories of mathematics to the computer environment. If the feedbacks of the computer are too immediate, students would have less opportunity to reflect on their thinking and focus their attention on the visual aspects, which leads to the simple abstraction rather than the reflective abstraction. We also examined some other Problems related to cognitive obstacle to learn the concepts of geometric figure and the geometric knowledge. Based on the analysis on the problems related to the computer-based environment of mathematics teaching and learning, we tried to find out the direction to use computer more adequately in teaching and learning geometry.

• Journal of the Korean School Mathematics Society
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• v.5 no.1
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• pp.21-32
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• 2002

The purpose of this research is to invent the method which improve the problem - solution power in mathematics, making learning materials for it and apply it to the inactive 1st grade high school students. The results of this reaserch are as follows. 1. Through this 4 phased team teaching, the atmosphere of learning is positive and learning activities are voluntary and the attitude to the mathematics is improved. 2. The harmony of team studying for a problem solution, problem understanding, flowchart drawing and mind map studying enabled students to have confidence of learning, leading to improve the ability of mathematics.

• Communications of Mathematical Education
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• v.25 no.1
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• pp.221-243
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• 2011

The purpose of this study is to investigate activities of sharing learning objectives in mathematics lesson and by doing that, to draw some conclusions on sharing learning objectives in elementary school mathematics lessons. To gather data, 82 pre-service teachers who participated in 4-week teaching practicum were asked to record their mathematics lesson and to transcribe their teaching activities. Specifically by analyzing the data, suggestions on how to share the learning objectives in elementary school mathematics were drawn.

• Journal of Educational Research in Mathematics
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• v.19 no.2
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• pp.289-306
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• 2009

In this study, pre-service teachers who would be mathematics teachers of secondary school wrote the journal about learning mathematics. Journal writing helped pre-service teachers' math learning. Pre-service teachers could think mathematics reflectively, inquire it, represent their affectivity, plan the self-directed learning, and have the records of learning. They considered the educational issues as instructional methods, organization and management of instruction, assessment, and attitude of teacher. As well, they thought that journal writing was important in learning mathematics and how they would apply their students. Journal writing was meaningful to pre-service teacher education in cognitive and situative aspects.

• School Mathematics
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• v.10 no.3
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• pp.339-355
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• 2008

This article tried to review the meaning and implication of six stages theory of learning mathematics suggested by Zoltan Dienes in "Building up Mathematics" in 1971. It was not much concretely known to Korean mathematics education society. In particular, there is no mathematical example which could cover all the stages to know what the theory tells. So this article focused on the example which Dienes developed for learning integers in 2000 to dig the theory. As a result, some critical aspects and problems of six stages theory were found. And finally educational implication was described.

• The Mathematical Education
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• v.49 no.4
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• pp.463-488
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• 2010

The purpose of this study was providing implications in teaching and learning activities to vitalize mathematical communication and to raise positive attitudes about mathematics. We analyzed mathematical communication, disposition and attitudes of the students who had lower mathematical achievement rather than that of Korean language in class using reading materials and strategies. We found that teaching-learning activities using the reading materials and strategies let the low achievers in mathematics communicate more about mathematical notions and problem-solving process actively. The activities triggered interests and attention of mathematics and self-study. In addition, the lessons with reading materials and strategies aroused confidence, will and responsibility to mathematics learning to the students. They made the learners notice mathematics' values and roles and gave the opportunity of reflection about students' learning processes. As a result, the teaching-learning using reading materials and strategies should be developed and accomplished actively in classroom to turn mathematical inclination and attitudes of the students who had had negative inclination and attitudes to mathematics into those of positive and to vitalize mathematical communication to the lower achievers in mathematics.

• Research in Mathematical Education
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• v.9 no.3 s.23
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• pp.269-273
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• 2005

Nowadays application of modem achievements of information technologies in science, engineering and education is usual phenomenon. Application of these technologies allows easily creating new methods of learning of mathematics. More of new methods of creation of multimedia electronic manuals on high mathematics are founded to application of multimedia and communication opportunities of the computer. But application only multimedia and communication opportunities of the computer at creation of multimedia electronic manuals on high mathematics is insufficient to elimination of 'gap' between training and studying high mathematics. So, we offer a new way of the decision of this problem: creation of a multimedia electronic manual on high mathematics with built-in a mathematical environment MathCad in the national language.

• Education of Primary School Mathematics
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• v.4 no.1
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• pp.19-29
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• 2000

This paper is trying to answer the following two questions： "How does it likely to happen that the same content of mathematics is quite differently taught by classroom teachers\ulcorner" and "What would cause these differences in the teaching and learning of mathematics\ulcorner" According to scholars, teachers' beliefs about mathematics and the teaching and learning of mathematics should be first considered when the educational phenomena taking place in classroom are analyzed and interpreted. In this paper, through discussing the directions of reform movements of mathematics education, the definitions and characteristics of teachers' beliefs, and reviewing the previous research on teachers' beliefs, suggestions for the research on mathematics teachers' beliefs are presented.liefs are presented.

• Research in Mathematical Education
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• v.11 no.4
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• pp.221-234
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• 2007

A comparison of mathematics teachers' personal beliefs between in- and pre-service teachers for Chinese secondary schools (grades 7-12) about mathematics theories, teaching and learning has been studied. In-service teachers' beliefs are close to constructivist's aspect and pre-service teachers' beliefs are close to absolutist's views. Based on the results, we give some suggestions to both teacher education and in-service teachers' training.

• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.697-716
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• 2014

The purpose of this paper is to investigate high school students' learning characteristics which revealed in their learning process of limit using GeoGebra. And we are going to analyze effects of teaching of limit using GeoGebra to high school students' interesting and attitudes for mathematics learning. To do this, we selected three high school students as participants and ask them performing limit learning using GeoGebra. We recorded their problem solving process. Through analyzing their problem solving process relate to their solution, we found the followings: First, students did not logically approach based on mathematical properties or given materials, rather showing tendency decide with self-conscious and intuition. Second, it is possible that former reasoning strategies disturb following reasoning in the process of high school students' mathematics learning. Third, learning process of limit using GeoGebra help high school students to identify and correct their errors relate to limit learning. Forth, learning process of limit using GeoGebra positively effects to high school students' interesting and attitudes for mathematics learning.