• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.519-533
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• 2007

In this paper we study a equality $\frac{1}{h_a}+\frac{1}{h_b}+\frac{1}{h_c}=\frac{1}{r}$ which contains altitudes and radius of inscribed circle of triangle. We search some paths for proving the equality, and find out 9 proof method of the equality which is related with descriptive geometry, coordinate geometry, and vector geometry.

• Communications of Mathematical Education
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• v.25 no.3
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• pp.607-627
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• 2011

The purpose of this study is to analyse teaching and learning effects of the structural-mapping used instruction and to find out the characteristics of problem solving process in permutation and combination. For this study, two classes of 11th grade students(67 students) were randomly selected from S high school in D city. One of them was assigned to the experimental group and the other to the control group, respectively. Four lectures of the structural-mapping used instruction were carried out in the experimental group and same amount of lectures of the text book oriented instruction were carried out in the control group. The research findings are as follows. First, the structural-mapping used instruction is shown to be more effective in achievement than the traditional textbook-oriented instruction. Second, the ball-box model is found out to be easier and simpler than the selection-distribution model. Third, students who used the ball-box model are properly able to use both model.

• Journal of the Korean School Mathematics Society
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• v.15 no.4
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• pp.699-718
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• 2012

The purpose of mathematics eduction is to develop the ability of thinking mathematically. It informs method to solve problem through mathematical thinking that teach mathematical ability. Errors in the problem solving can be thought as those in the mathematical thinking. Therefore analysis and classification of mathematics errors is important to teach mathematics. This study researches the preceding studies on mathematics errors and presents the characteristic of them with analyzed models. The results achieved by analysis of the process of problem solving are as follows : ▸ Students feel much harder to solve words problems rather than multiple-choice problems. ▸ The length of sentence make some differences of understanding of the words problems. Students easy to understand short sentence problems than long sentence problems. ▸ If students feel difficulties on the pre-learned mathematical content, they feel the same difficulties on the words problems based on the pre-learned mathematics content.

• Communications of Mathematical Education
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• v.28 no.1
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• pp.65-79
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• 2014

The present study seeks to provide an easy path to differential perceptions of students at the upper high school level by applying a story telling method and also, characteristically, to earn some time for class discussion by reducing learning time for simple calculational procedure through Computer Algebra System(CAS) tools. This study offers a clear example of storytelling textbooks through Sage. Hence, the study aims at enabling students who have practiced contents with Sage tools to deal with diverse and complicated calculation problems, if they learn to build up mathematical formulas for those problems.

• Journal for History of Mathematics
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• v.17 no.3
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• pp.61-72
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• 2004

In this paper, we investigate several values of the Nine Chapters on the Mathematical Art on mathematics educational viewpoint. We study them with four points of view: mathematical approach through problems of real life, algorithmization of concept and type, significance of affective domain and application of arithmetic. The result shows that the Nine Chapters on the Mathematical Art have great meaning of today's Korean mathematics education and possibility of application.

• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.339-354
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• 2011

The purpose of this paper is to find out the effective teaching method and improvement for managing the special lecture of basic mathematics which is grouped by the level of low achievement students who are matriculants. From the result, we want to know how the lecture with teaching method of differentiated learning affect on the students, especially who have under achievement, to be interested and confidential in mathematics.

• Proceedings of the Korean Society of Computer Information Conference
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• 2011.06a
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• pp.419-420
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• 2011

스마트폰을 이용한 학습용 앱을 개발하기 위해 본 연구는 기초학습인 덧셈의 기능을 완료하였다. 덧셈문제를 계속해서 풀 수 있는 구조로 설계하였고, 정답과 오답에 대한 설명 이벤트를 배치하여 학습효과를 높였다. 본 과정은 수학공식 및 다양한 학습으로 확장 가능하며, 사용자별, 날짜별 점수 DB를 저장한다면 본인의 실력 향상을 체크해 볼 수 도 있을 것이다. 본 학습앱을 안드로이드기반 스마트폰에 배포한 결과 정상적으로 풀이 됨을 확인하였다.

• Communications of Mathematical Education
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• v.12
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• pp.211-232
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• 2001

수학 교수-학습에서 기호 연산 조작이 가능한 수학 응용소프트웨어인 Maple을 활용한 지도 방안을 모색해 보고자 한다. Maple의 내장함수를 단순히 이용하는 것보다 모듈을 사용하여 학습자가 학습내용에 능동적으로 단계적인 풀이과정과 수학적 개념을 찾아갈 수 있도록 하였다. 이를 위해 Maple Procedure를 사용하여Package를 생성하고, 이를 Cell sheet에 적용시켜, 이차곡선에 대한 일반화된 개념 확립과 교사 - 매체 - 학생간의 원활한 상호작용으로 학생들의 문제해결력 향상에 도움이 될 수 있는 교수-학습 모형을 탐색해 보고자 한다.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.3
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• pp.461-483
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• 2017

The ability to think mathematically and to reason inductively are basics of logical reasoning and the most important skill which students need to acquire through their Math curriculum in elementary school. For these reasons, we need to conduct an analysis in their procedure in inductive reasoning and find difficulties thereof. Therefore, through this study, I found parts which covered inductive reasoning in their Math curriculum and analyzed the abilities and characteristics of students in solving a problem through inductive reasoning.

• Communications of Mathematical Education
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• v.24 no.3
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• pp.543-562
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• 2010

The purpose of this thesis is to analyze the error happening in the process of solving the simultaneous inequality with two unknown qualities and to propose the correct teaching method. We first introduce a problem about the simultaneous inequality with two unknown qualities. And we will see the solution which a student offers. Finally we propose the correct teaching method by analyzing the error happening in the process of solving the simultaneous inequality with two unknown qualities. The cause of the error are a wrong conception which started with the process of solving the simultaneous equality with two unknown qualities and an insufficient curriculum in connection with the simultaneous inequality with two unknown qualities. Especially we can find out the problem that the students don't look the interrelation between two valuables when they solve the simultaneous inequality with two unknown qualities. Therefore we insist that we must teach students looking the interrelation between two valuables when they solve the simultaneous inequality with two unknown qualities.