• Communications of Mathematical Education
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• v.23 no.4
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• pp.961-976
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• 2009

The purpose of this study is to revise the curriculum of mathematics, which is the basic for the engineering studies, especially for the disciplines of the electronic engineering, computer science, computer engineering, mechanical engineering, environmental engineering, civil engineering and architecture. Another goal of this research was to integrate a computer software, MATLAB into a mathematics course so that the mathematical concepts and theories in the course can be visualized to help students understand some difficult subjects and enhance their interest in mathematics.

• Journal of Educational Research in Mathematics
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• v.16 no.3
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• pp.199-220
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• 2006

One of the main objectives of National Assessment of Educational Achievement (NAEA), which is implemented by Korea Institute of Curriculum and Evaluation(KICE), is to manage the qualities of National Curriculum. Thus we considered NAEA as the research for educational program assessment and tried to find out how to make NAEA better for achieving that objective. For the purpose of this paper we analyzed the present conditions of NAEA into four perspectives. And then according to each perspective we explored schemes for improving NAEA. In conclusion, we proposed the following; Firstly, in relation to assessing students' understanding of the mathematics contents, the meanings of Achievement Levels have to become much more clear and concrete. in relation to assessing for comparing student' understanding according to mathermatics content areas, the number of items has to be increased for elevating validities of NAEA. Thirdly, in relation to gathering the information about properties which are shown by the students in particular Achievement, it is necessary to think about how to produce items for the purpose in the step of developing items in NAEA. Finally in relation to collecting the data which can be useful for relevance of mathematics contents, it is necessary to make a special group of items for identifying relevance of mathematics contents, and to apply performance assessments on part of the students, not whole students.

• Journal of the Korean School Mathematics Society
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• v.11 no.1
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• pp.69-96
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• 2008

The purpose of this paper is to perceive the problems of current geometry education in the middle school mathematics, to develop some learning materials fitted for the mathematising activities based on Freudenthal's learning theories and to analyze the mathematising process followed by teaching-learning activities. For this purpose, we design activity-oriented learning materials for geometry based on Freudenthal's learning theories, and appropriate teaching-learning models are established for the middle school geometry at the 8-NA stage level according to the theory of van Hiele's geometry learning steps. After applied to the practical lessons, the effects of mathematical activities are analyzed.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.435-455
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• 2015

This study is aimed at analyzing the level change and features of mathematical communication in elementary students' expository writing. 20 students of 5th graders of elementary school in Seoul were given expository writing activity for 14 lessons and their worksheets was analyzed through four categories; the accuracy of the mathematical language, logicality of process and results, specificity of content, achieving the reader-oriented. This study reached the following results. First, The level of expository writing about concepts and principles was gradually improved. But the level of expository writing about problem solving process is not same. Middle class level was lower than early class, and showed a high variation in end class again. Second, features of mathematical communication in expository writing were solidity of knowledge through a mathematical language, elaboration of logic based on the writing, value of the thinking process to reach a result, the clarification of the content to deliver himself and the reader. Therefore, this study has obtained the conclusion that expository writing is worth keeping the students' thinking process and can improve the mathematical communication skills.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.19-25
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• 2004

초등학교에서 고학년으로 갈수록 수학에 대한 흥미가 떨어지고 수학을 기피하는 학생들을 많이 볼 수 있다. 그러한 아동들의 대부분은 수학에 대한 어려움을 많이 호소하고 있는데 특히 비정형화된 문제들을 대할 때엔 그 현상은 더욱 심각하다. 초등학교 수학 교과서의 마지막 단원은 '문제 푸는 방법 찾기' 단원인데, 이 단원에 제시된 문제들은 대체로 비정형화된 문제들이다. 정형화된 문제에 익숙한 아동들은 이러한 비정형 문제들을 해결하는 데에 상당히 어려움을 나타내곤 한다. 본교에서는 이러한 아동들의 어려움을 해결할 수 있는 방안으로 협력학습을 택하였다. 또래들과의 상호작용 속에서 비정형화된 문제에 보다 친숙하게 접근하고 해결해 나가는 과정을 반복하다 보면 수학에 대한 흥미를 되찾게 되고, 문제 해결력과 수학적 사고력이 향상될 것으로 기대된다.

• Journal of Educational Research in Mathematics
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• v.24 no.4
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• pp.481-498
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• 2014

This study analyzed Japan, Taiwan, Hongkong, Finland, and China National Mathematics Curriculums to find the implications to improve Korean High school Mathematics curriculum. First, at the aspect of mathematics education goals, we can consider to select the logical thinking, the use of mathematics, and the mathematical inquiry in the cognitive domain and self-confidence, brevity, a sense of accomplishment, and the value of mathematics in the affective domain. Second, when high students consider their course, he/she should be able to select mathematics subjects according to her/his desired career and/or major. Third, I found that sine rule, cosine rule and correlation were included as compulsory contents of Japan, Taiwan and China but not Korea. Finally I suggest that we need to show and explain kindly the range of the contents and to develop the Korean mathematics curriculum model.

• Journal of the Korean School Mathematics Society
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• v.12 no.3
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• pp.347-364
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• 2009

In this paper, the researchers investigated the influence of graphing calculator in learning the concept of linear function for the gifted students. Elementary students who were taking a course in enrichment mathematics at Science Education Institute for the Gifted in Mokpo National University were selected for this study. The researchers analyzed students' processes of mathematical inference and conjecture, and students' algebraic description. We found the facts that the visualization using a graphing calculator and CBL is helpful to the gifted students in understanding concepts of liner function, finding the relationship between variables, analyzing and presupposing of graph. But, using graphing calculator can be a factor that disturbs learning of students who have too much of curiosity on graphing calculator.

• Journal of the Korean School Mathematics Society
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• v.15 no.3
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• pp.565-584
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• 2012

This study investigates how the GSP helps gifted and talented students understand geometric principles and concepts during the inquiry process in the generalization of the internal triangle, and how the students logically proceeded to visualize the content during the process of generalization. Four mathematically gifted students were chosen for the study. They investigated the pattern between the area of the original triangle and the area of the internal triangle with the ratio of each sides on m:n respectively. Digital audio, video and written data were collected and analyzed. From the analysis the researcher found four results. First, the visualization used the GSP helps the students to understand the geometric principles and concepts intuitively. Second, the GSP helps the students to develop their inductive reasoning skills by proving the various cases. Third, the lessons used GSP increases interest in apathetic students and improves their mathematical communication and self-efficiency.

• Communications of Mathematical Education
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• v.9
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• pp.317-325
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• 1999

수식에 의한 컴퓨터 그래픽의 입력과 출력에 관한 프로그램의 개발은 수학의 역동화, 인간화, 보편화에 기여하고 있다. 현실적으로 해결해야할 문제와 수식에 의한 해답이 전부인 현재의 수학을 소프트웨어를 활용하여 그래픽 기능을 첨부하면 움직이는 수학을 가시화 할 수 있다. 컴퓨터 프로그램에 의한 수학의 실현은 수학자들 모두의 염원으로 전세계적으로 활발한 연구가 진행되고 이는 것이다. 수학의 원리와 응용성을 가미한 수학적 그래픽의 발전은 새로운 천년을 장식할 새로운 학문분야로 등장하고 있다. 기초과학의 여러 자료를 분석, 검토하여 그래픽으로 조립하는 작업은 수학적 그래픽의 힘으로 가능하며, 실험과 실습의 양상을 바꾸어 놓고 있다. 건축이나 토목 또는 전기전자 학과의 응용수학은 새로운 소프트웨어의 출현으로 컴퓨터 강의로 전환되고 있으며 수학 그 자체로 전산기능을 강화하는 방향으로 개편되고 있다. 수학 교과 내용의 전산 프로그램화와 컴퓨터 활용 수학 학습은 거부할 수 없는 시대적 요구이다. 이 연구에서는 새로운 천년의 시작은 컴퓨터 프로그램에 의한 완성된 그래픽의 연출이라는 시각에서 수식에 의한 컴퓨터 그래픽의 기본 방향을 제시하고 있다. 2차원 평면이나 3차원 공간에 이와 같은 다변수함수의 역할을 구현함으로써 다양한 그래픽을 영상화할 수 있다. 다중화면의 연출, 다단계화면의 조합, 다단계다중화면의 영상화 등은 수학에 의한 애니메이션의 기초가 된다. 평면도형의 기본동작을 화면에 구체화시키는 Table 기능을 실제로 구현한다. 연습과 실행 그리고 재구성을 반복하여 조형미를 갖춘 수학적 그래픽을 실현한다. 수학의 학습에 적용할 가치가 있는 학습조형물을 개발하고, 프로그램의 단순화에 노력한다. 미분기하학의 여러 공식을 이용하여 숨어 있는 그림을 표출하며 미분방정식의 해가 갖는 그래픽의 묘미를 형상화한다. 수식에 의하여 출력된 그래픽의 여러 효과를 응용수학에 활용할 수 있도록 재조립하는 과정을 걸쳐 완성하는데 이 연구의 참된 의미가 있다.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.2
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• pp.207-229
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• 2020

The study examined on the general educational system, the structure of the document of mathematical curriculum, and the characteristics of the achievement standards written in the document of France in order to compare with Korean primary mathematics education. French pupils learn about 5% more hours than Korean sixth grade pupils, and French document of mathematical curriculum describes the contents included in the documents more concretely than us. There were a large differences in the subjects both of mixed calculations and division of fractions in the area of number and operations. The study proposed the necessity for researches on the concrete description of the document of mathematical curriculum, more concrete examples to use to teach pupils on the viewpoints of school mathematics, and the learning sequences and methods of the division of fractional numbers. At last we proposed to need rethink of the importances and teaching methods of calculations.