• 한국수학사학회지
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• 제12권2호
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• pp.99-118
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• 1999

This study aims to find the significance of the ancient Egyptian arithmetic in mathematics education and to analyze the educational value by practical teaching of the Egyptian multiplication. In this study, we confirmed that application of historical materials in mathematics instruction enable students to awaken their interest, to offer the opportunities of exploration, and furthermore to develop their mathematical thinking ability.

• Kyungpook Mathematical Journal
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• 제28권1호
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• pp.45-50
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• 1988

Circulant and multiblock circulant matrices have many important applications, and therefore their inverses are of considerable interest. A simple recursive algorithm is presented to compute the inverse of a multiblock circulant matrix. The algorithm only uses complex variables, roots of unity and normal matrix/vector operations.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제36권3호
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• pp.397-415
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• 2022

본 연구의 목적은 학생들의 흥미와 동기를 유발할 수 있는 수학적 은유를 활용하여 수업 참여에 도움을 줄 수 있는 교사의 담론 구조를 분석하는 것이다. 이러한 목적 달성을 위해 학생들의 경험과 수학적 개념을 연결하여 설명하는 교수법을 실행하는 경력 교사의 한 학기 수업을 관찰하였다. 연구 대상 교사가 한 학기 동안 수학적 개념과 문제 해결 과정에서 다양하게 활용한 은유 중에서, 일상생활과 수학적 내용을 단순히 연결하는 상황을 제외하고 은유를 활용하는 교수법 개발에 도움을 줄 수 있는 대표적인 수업 사례 2개 차시를 추출하였다. 대표적으로 선택된 2개 차시 수업은 은유를 활용하는 수업 사례 1개 차시와 은유를 활용하고 문제를 확장·적용하는 수업 사례 1개 차시이다. 분석 결과 학생들과의 소통을 기반으로 수학적 은유를 활용하는 교사의 담론 구조는 수학 교육회복을 위한 교수법 개발에 시사점을 제공할 수 있을 것이다.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제23권2호
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• pp.461-481
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• 2009

최근 20여 년 동안 국제적으로 기호학의 관점에서 수학교육에 대한 다양한 연구와 실천이 진행되어 오고 있다. 멀티미디어는 표현 매체이며 기호로서 수학 및 수학교육과 다양한 관계를 가지고 상호 작용한다. 수학 및 수학교육의 활동은 기호학의 관점에서 기호적 활동으로 영향력, 역할 그리고 범위가 확대될 것으로 예상된다. 본 논문에서는 기호학의 기본 개념을 소개하고 수학교육에서의 적용 가능성을 제안하였다. 개념, 표상, 사회적 구성주의, 문화와의 맥락에 관한 수학교육의 기존 연구와 기호학관점의 연구는 유사성을 갖는다. 기호학의 관점에서 산술학습, 연역법, 귀납법, 가추법과 퍼스의 기호-삼항틀 적용 사례, 기하의 명제들 사이의 퍼스-삼항틀 관계, 대칭과 증명을 다루는 기하학습 등을 제시하였다.

• 한국과학교육학회지
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• 제30권7호
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• pp.920-932
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• 2010

Many topics in science, especially, abstract concepts, relationships, properties, entities in invisible ranges, are described in mathematical representations such as formula, numbers, symbols, and graphs. Although the mathematical representation is an essential tool to better understand scientific phenomena, the mathematical element is pointed out as a reason for learning difficulty and losing interests in science. In order to further investigate the relationship between mathematics knowledge and science understanding, the current study examined 793 high school students' understanding of the pH value. As a measure of the molar concentration of hydrogen ions in the solution, the pH value is an appropriate example to explore what a student mathematical structure of logarithm is and how they interpret the proportional relationship of numbers for scientific explanation. To the end, students were asked to write their responses on a questionnaire that is composed of nine content domain questions and four affective domain questions. Data analysis of this study provides information for the relationship between student understanding of the pH value and related mathematics knowledge.

• 한국수학교육학회지시리즈A:수학교육
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• 제43권2호
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• pp.139-149
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• 2004

This study was initiated by the idea to help students to be more ideally educated following the 7th curriculum that seeks the proactive students along with creativity for the 21st century. Mind-map was the main tool throughout the study and this was performed to find answers for the following questions : 1) to examine how students' drawing a mind-map affects their mathematical tendency or emotional aspects (motivation for study, interest, etc); 2) to investigate the types and characteristics of mind-maps that students draw; 3) to analyze advantages and obstacles that they experience during the process of drawing a mind-map and provide some suggestions for overcoming them. The research shows that students were highly motivated by the drawing a mind-map. There are types of mind-maps: tree shape and radial shape, and each shape has its own advantages. But the more important factor for being a good mind-map is where and how each concept is located and connected. Although it is true that drawing a mind-map helped students to see the bigger structure of what they learned, but there are several hardships taken care of. The study suggests to extend the experiment to various levels of students and diverse contents.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제32권1호
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• pp.23-36
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• 2018

인공지능(Artificial Intelligence)의 잠재력에 대한 기대로 여러 분야에서 이를 활용하고자 노력하고 있으며 교육 분야에서의 적용에 대한 관심 역시 높다. 교육에 있어서 인공지능 기술에 활용되는 기계학습(machine learning)과 딥러닝(deep learning)으로 스스로 학습하는 방법에 대한 관심을 가지게 되었으며 이러한 방식이 교육에 어떻게 활용될 수 있을 지와 인공지능을 어떻게 수학교육에 적용할 수 있을지에 대한 관심이 대두되고 있다. 이에 정보통신기술의 발달에 따른 수학교육의 변화를 고찰해 봄으로써 수학교육의 변화가 인공지능과 어떠한 연과성이 있는지를 살펴보는데 의의가 있다고 할 수 있다.

• 한국수학교육학회지시리즈A:수학교육
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• 제39권1호
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• pp.11-20
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• 2000

Compared with other subjects, mathematics has great differences in achievement. In hope of solving this problems, most schools the level-movement learning. Although they say it may have some effect because of its homogeneous group, the level groups still have differences in achievement in their students abilities. So, this study aims to present an appropriate tasks for the advanced intermediate and beginner groups and to help self-directed learning by selecting an appropriate tasks for the students' own level. To achieve thiese goals, a great deal of level tasks were developed and given to the students. After lettins them an select appropriate tasks for their own level and perform self-directed teaming, the tasks were measured carefully for their interest attitude and achievement in learning. Consequently, we tried a new method to improve uniformity and to turn teacher-centered learning into student-centered teaming. The following is the conclusion to this study. First self-directed teaming based on the selection of level tasks has meaningful effects on learning achievement in mathematics, especially for the beginner group. Second though the above method did not improve an interest for mathematics, but was very effective in the improvement of learning attitudes.

• 한국수학교육학회지시리즈A:수학교육
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• 제54권1호
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• pp.49-63
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• 2015

PISA 2012 showed that while Korean students achieved high-level math achievement in mathematics their levels are relatively lower in math self-efficacy. Students from Singapore, on the other hand, achieved high scores both in math achievement and in math self-efficacy. The results of the two countries differed although both countries has been sharing the same East Asian cultural sphere. This study analyzed the input and the process variables on the student- and school-level concerning math self-efficacy. The results were as follows. In Korea, math interest, instrumental motivation, elaboration strategies, applied and pure math tasks were the student-level variables that affected math self-efficacy. In Singapore, math interest, control strategies, elaboration strategies, applied and pure math tasks were the student-level variables that affected mathematics self-efficacy. Math club, teachers' low expectations were the school-level variables that affected math self-efficacy. For a higher-level of math self-efficacy in Korea, it is important to encourage students not only to use control strategies, but to participate in math clubs. It is equally important for teachers to have higher expectations towards students.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제26권2호
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• pp.83-104
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• 2023

Lecture theatres and computing laboratories are common types of classrooms used for teaching and learning in this study; both were equipped with a computer network through which teachers and students can access learning management system, digital library, educational software, and so on. Students were divided into groups of two or three; each group of students collaborated on the worksheets in the laboratory and naturally sat together when attending a class held in the lecture theatre. The social organization of classroom learning would promote student learning but what drives student learning; how to engage students with learning; and how to maintain their interest in learning are of research interest in the present study. The study illustrated the theoretical and empirical links, student motivation has a relation to rich collaboration with peers, communication as verbal interactions as well as teacher-student interactions. These are within socio-cultural contexts for learning to take place. The study was extended to make comparisons of the motivational orientations between student genders. It was found that female students were keener on fun or enjoyment in learning, peer communication, and teacher's intervention, whereas male students were concerned more about digital learning tools, a positive working relationship, social reciprocity, and interpersonal relationships.