• Journal of Gifted/Talented Education
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• v.25 no.3
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• pp.363-380
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• 2015

The convergent education such as STEAM education has been implemented in the gifted education institutions in order to resolve the crisis of science and engineering fields caused by the science and engineering avoidance of excellent talents. The purpose of this study was to investigate awareness about science, mathematics and technology/ engineering fields of science gifted students. The subjects were 86 middle school science gifted students at the Science Institute for Gifted Students of a university located in metropolitan city in Korea. The data were collected from the survey that consists of 97 questions in 3 categories. The results were follows: First, the gifted students were aware that science was more interesting than mathematics or technology/engineering. Second, science rated highest in career choice. Third, they were aware that the scientists were more interesting, more imagination, less accuracy and less considering than the mathematicians and the engineers. In addition they responded that the mathematicians were smarter than the scientists and the engineers, and the engineers were more diligent than the scientists and the mathematicians. Finally, the result of the correlational analysis indicated that there were strong correlations between science and mathematics, and between science and technology/engineering. It was recommended that the consolidation of the convergent gifted education, the necessity of systemic career education, and the study of correlation between mathematics and technology/engineering.

• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.345-366
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• 2006

In this study, we investigated the methods of using the Cabri3D program for education of problem solving in school mathematics. Cabri3D is the program that can represent 3-dimensional figures and explore these in dynamic method. By using this program, we can see mathematical relations in space or mathematical properties in 3-dimensional figures vidually. We conducted classroom activity exploring Cabri3D with 15 pre-service leachers in 2006. In this process, we collected practical examples that can assist four stages of problem solving. Through the analysis of these examples, we concluded that Cabri3D is useful instrument to enhance problem solving ability and suggested it's educational usage as follows. In the stage of understanding the problem, it can be used to serve visual understanding and intuitive belief on the meaning of the problem, mathematical relations or properties in 3-dimensional figures. In the stage of devising a plan, it can be used to extend students's 2-dimensional thinking to 3-dimensional thinking by analogy. In the stage of carrying out the plan, it can be used to help the process to lead deductive thinking. In the stage of looking back at the work, it can be used to assist the process applying present work's result or method to another problem, checking the work, new problem posing.

• 대학교육
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• s.74
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• pp.115-119
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• 1995

• The Mathematical Education
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• v.44 no.2 s.109
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• pp.229-264
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• 2005

This thesis is about a comparative study how they use technology in math education in both Korea and U.S.A. The subjects of investigation are the representative math education journals in Korea and America-Mathlove of Korea and Mathematics Teacher of U.S.A. I have chosen and studied contents that is related to technology in the two journals which were published for 10 years from 1995 to 2004. The followings are the theme of the study. Theme 1 (The situation of environment) : I have examined the usage situation of technology in Korea and America, by studying and analysing the rates and types of sentences contained technology in the two journals. Theme 2 (The situation of substances) : By studying and analysing substances and materials of two journals, I have made a study what changes technology of math education in U.S.A and Korea made for math learning contents and materials. Theme 3 (the situation of methods) : I made a study about how technology has affected the methods of teaching and learning math in both Korea and U.S.A by analysing and studying the methods which they have applied to math education.

• Communications of Mathematical Education
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• v.15
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• pp.29-34
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• 2003

물리학, 공학, 경제학, 생물학, 생태학 등의 자연현상, 사회 현상 그리고 심리상황 등과 관련된 내용들의 모델링 과정을 거쳐 나온 미분방정식의 해를 구하고 해의 의미를 파악하는 작업은 바로 우리의 생활의 진면목을 직접 확인하는 것과 같다. 모델링 과정의 효율성은 교사와 학생간의 충분한 수학적 대화속에서 더욱 의미가 커질 것이다. 아울러 학생들에게 미분방정식의 해의 실제적인 의미를 상상하게 하고 그 결과를 발표하게 하는 것과 해를 구하는 과정에 관한 이론의 이해를 돕는 것이 바람직한 학습 지도 방법이 될 것이다. 전 교육과정을 통해 미분방정식의 모델링 과정을 소개하면서 해의 존재성, 해의 유일성, 해법, 해의 의미 등의 학습 및 지도를 학습자 중심으로 운영할 필요가 있다.

• Journal of Educational Research in Mathematics
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• v.12 no.4
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• pp.443-455
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• 2002

정보화시대를 맞아 어느 때보다도 활발히 전교과에 걸쳐 학생의 의사소통의 능력을 향상하기 위한 다양한 방법이 모색되고 있다. 학교현장의 수학교육자는 수학교수-학습에서 어떤 상호작용이 일어났는지, 특히 다루기 쉬운 도구로써 계산기가 주어졌을 때 어떻게 학생의 지식 발달이 언어적 상호작용에서 이루어지는지를 알아야 한다. 본 연구는 이러한 학생의 상호작용을 분석할 때 필요한 분석도구를 개발하는 것이다. 예비연구와 본 연구를 통해 언어적 상호작용의 구성요소가 세 영역, 즉, 지식구성 진술, 사회적 상호작용 진술, 그리고 교사의 교육어 진술에서 개발되었다. 본 연구에서 개발한 자료를 이용하여 특히 학생의 지식 구성 발달에 따른 상호작용의 구성요소의 특징을 파악하고 이에 필요한 언어적 상호작용의 역할과 활성화 방안을 모색하는 연구가 가능하다.

• Communications of Mathematical Education
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• v.35 no.4
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• pp.445-473
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• 2021

The purpose of this study is to derive implications for the design of the next curriculum by analyzing the textbooks designed as a new subject in the 2015 revised curriculum. In the mathematics curriculum documents of , 'related learning elements' are presented instead of 'learning elements'. 'Related learning elements' are defined as mathematical concepts or principles that can be used in the context of artificial intelligence, but there are no specific restrictions on the amount and scope of dealing with 'related learning elements'. Accordingly, the aspects of 'related learning elements' reflected in the textbooks were analyzed focusing on the textbook format, the amount and scope of contents, and the ways of using technological tools. There were differences in the format of describing 'related learning elements' in the textbook by textbook and the amount and scope of handling mathematics concepts. Although similar technological tools were dealt with in each textbook so that 'related learning elements' could be used in the context of artificial intelligence, the focus was on computations and interpretation of results. In order to fully reflect the intention of the curriculum in textbooks, a systematic discussion on 'related learning elements' will be necessary. Additionally, in order for students to experience the use of mathematics in artificial intelligence, substantialized activities that can set and solve problems using technological tools should be included in textbooks.

• Journal of Educational Research in Mathematics
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• v.11 no.1
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• pp.123-136
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• 2001

우리나라 중학교 2학년 학생들은 제3차 수학.과학 국제비교연구인 TIMSS와 그 반복연구인 TIMSS-R의 수학 검사에서 최상위권의 성취 수준을 보임으로써 국내외 연구자들의 관심의 초점이 되어 왔다. 이 논문은 우선 우리나라 학생들이 높은 성취 수준을 기록할 수 있는 원인을 $\circled1$ 체계적인 수 세기 방식, $\circled2$ 상급 학교 진학을 위한 시험의 대비, $\circled3$ 수학 교사 의 능력, $\circled4$ 교육과정과 검사와의 관련성, $\circled5$ 검사에 대한 태도라는 다섯 가지 측면에서 탐색하였다. 또한 높은 성취 수준 이면에 드리워진 부정 적인 측면을 조망하여 $\circled1$ 공학적 도구 의 이용에 대한 소극성, $\circled2$ 실생활 관련 문장제에 대한 저조한 성취 수준, $\circled3$ 지역에 따른 성취 수준의 차이, $\circled4$ 수학에 대한 부정적인 태도의 네 가지로 요약하였다. 또한 TIMSS-R 의 수학 성취 수준에 대한 성별 차이를 $\circled1$ 친숙함/생소함, $\circled2$ 대수/기하, $\circled3$ 자유반응형/선택형이라는 세 가지 측면에서 분석하였다. 마지막으로 국제비교 연구의 결과는 국가별 평균성취 수준의 양적인 비교에 초점을 두기보다는, 성취도 이면에 깔린 다양한 요소에 대한 복합적인 고려와 깊이 있는 분석을 통해 수학교육의 현 상태를 점검하는 하나의 잣대로 이용해야 한다는 점을 지적하였다.

• School Mathematics
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• v.15 no.4
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• pp.975-994
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• 2013

In this paper, we analyzed the utilization trend of technology in the secondary mathematics textbooks based on the 6th, 7th and 2007 revised mathematics curriculums in Korea. We analyzed 30, 60 and 90 mathematics books based on the 6th, 7th and 2007 revised mathematics curriculums respectively. The analysis focused on three aspects of using technology, i.e., contents areas in which technology used, technological tools and programs used, and methods of using technology in teaching and learning mathematics. The results shows that the frequency of using technology in mathematics books has been increased as mathematics curriculum has been revised. In the mathematics books based on th 6th curriculum, only 25 scenes were found, but in 7th and 2007 revised curriculum 248 and 355 scenes were found. In the 6th curriculum, calculators and graphing calculators were used mainly, but in the 7th and 2007 revised curriculum many kinds of technological tools and softwares were used including CAS, dynamic geometry software, spreadsheets, programming language, and the Internet. Especially the internet was used frequently in the 7th curriculum. And the methods of using technology has been diversified as time passed. In the 6th curriculum, the technology mainly used for introducing technology and simple calculation, but in the 7th and 2007 revised curriculum the technologies and software were also used for understanding mathematical laws, principles and concepts and students-centered exploring the mathematical properties.

• Communications of Mathematical Education
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• v.30 no.1
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• pp.47-65
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• 2016

The purpose of this paper is to compare the effects on the students' academic achievement and satisfaction level in a Calculus course taught by two different teaching modes, blended learning and face-to-face learning. The comparison analysis was made for Calculus 2 course in H university in South Korea offered in the Spring semester of the year 2015. Calculus 2 is a Calculus course designed for the first year students who plan to choose their majors in Engineering. There were two sections of the Calculus course taught in a blended learning mode and one in a conventional face-to-face learning mode. All these three sections including e-learning parts were taught by the author. We discuss some meaningful differences in the effects by the two different teaching modes.