• Title/Summary/Keyword: 수학 학습 개선

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Finding the Way of Unifying the Theory and the Practice in Mathematics Education: Focused on Cobb's Research (수학교육연구의 이론과 현장의 실제사이의 간격 개선을 위한 방향탐색: Cobb 연구를 중심으로)

  • Lee, Chang Yeon;Joo, Hongyun;Choi-Koh, Sang Sook
    • School Mathematics
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    • v.16 no.4
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    • pp.709-726
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    • 2014
  • The purpose of the study was to pay attention to the studies of P. Cobb which have actively been quoted in the international research of mathematics education for the last three decades and to look at the result and effect of his research. In particular, we in-depth studied theories and the methods of the study which he has tried to reduce the gap in the theory and practice and investigated effects of his research to the Korean societies of mathematics education. Cobb made special effort to integrate radical constructivism and social constructivism and used emergent theory and symbolic interactionism as theoretical background of the study. Also he analyzed the mathematics classroom in individual and social perspectives based on the interpretive frames of social norm, sociomathematical norm and classroom-mathematical practices then dealt with equity and identity of the students. Because Cobb contributed significantly to the development of practical theory using design experiment as the method of studies, we presented the definition, characteristics, principles, processes and practices of the design experiment. We anticipate that his ways of research would be used as means of unifying the theory and the practice in school.

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Analysis of Activity Tasks of Clothing Life Area in Middle School 「Technology & Home Economics」 Textbooks Based on Multiple Intelligence Teaching-Learning Strategy (다중지능 교수·학습 전략 기반 중학교 「기술·가정」 교과서 의생활 영역의 활동과제 분석)

  • Lee, Ha Rin;Shim, Huen Sup;Chae, Jung Hyun
    • Journal of Korean Home Economics Education Association
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    • v.33 no.4
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    • pp.85-101
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    • 2021
  • The purpose of this study was to make suggestions for improvement by analyzing the activity tasks in the clothing life area in middle school 「Technology & Home Economics」 textbooks of the 2015 revised curriculum. For this purpose, the multiple intelligence teaching-learning strategy analysis criteria were reconstructed and used for analysis. The activity tasks of the clothing life area of 「Technology & Home Economics I」 textbooks from 12 different publishers were analyzed based on the reconstructed analysis criteria, and the content validity was verified by 11 experts. The content validity, assessed by CVI was 0.94. According to the results, the logical·mathematical intelligence accounted for the highest proportion with 31.02%, followed by linguistic intelligence(23.81%), visual/spatial intelligence(17.08%), intrapersonal intelligence(14.71%), interpersonal intelligence(5.79%), bodily/kinesthetic intelligence(5.22%), naturalistic intelligence(2.37%), and musical intelligence(0.00%). The results showed that the teaching-learning strategies most frequently implemented in clothing life area were logical/mathematical intelligence, linguistic intelligence, visual/spatial intelligence, and intrapersonal intelligence. On the other hand, teaching-learning strategies related to interpersonal intelligence, bodily/kinesthetic intelligence, and naturalistic intelligence were used at a relatively low proportion. Therefore, it is recommended to expand the teaching-learning strategies of interpersonal, bodily/kinesthetic, naturalistic and musical intelligence, for a more balanced intelligence development of students.

An Analysis on the Mathematics Curriculum of Gifted High School - Focusing on Content Area and Subject Competency- (영재학교 수학과 교육과정 분석 -내용 영역과 교과 역량을 중심으로-)

  • Lee, Eungyeong;Jeon, Youngju
    • Journal of the Korean School Mathematics Society
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    • v.21 no.1
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    • pp.1-18
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    • 2018
  • This study aims to analyze the mathematics curriculum in the gifted school and obtain the understanding of the current situation of education for the math-gifted children in Korea, therefore providing a point of view for the improvements. In order to attain these purposes, the study examined the subject competency for the mathematics set by regular mathematics curriculum system and 2015 revision curriculum, and extracted the analytical standards, based on which the education plan documents of each gifted school were analyzed. The conclusion that has been made based on the analysis results is as follows. First of all, the curriculum of mathematics in the gifted schools in korea is heavily concentrated on analytics and algebra. Secondly, in mathematics curriculum for gifted children in Korea puts the most emphasis on the problem solving competency. Third, geometry subject in the mathematics curriculum of Korean gifted schools deals with the given content only at the level of regular high school curriculum. Fourth, learning materials in most gifted schools are not the ones especially revised and adapted for the gifted students but usually the ones for the college students. Lastly, gifted schools are running the curriculum featured with curriculum compacting and advance learning focusing on acceleration.

The Perception of the Professors and Teachers about the Education on Quadratic Curves in Various Universities (사범대학의 이차곡선 영역 교육에 대한 교수 및 교사의 인식)

  • Yi, Seunghun;Cho, Wan Young
    • School Mathematics
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    • v.16 no.4
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    • pp.827-845
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    • 2014
  • This study aims to investigate how the university educational programs about quadratic curves are operated in relation to the high school curriculum and what their effects may be, and the degree of understanding for the prospective and current teachers of the mathematical content knowledge about quadratic curves. To solve this research questions, we randomly selected three universities and one high school. Then we investigated the curricula of each department of mathematics education, compared them with the high school curricula, and conducted surveys of the professors' and students' conception on how much mathematical content knowledge they need to know about quadratic curves. The study resulted in the following conclusions. First, the curriculum on the subject of quadratic curves in the college of education is closely connected to the high school programs. This study's results showed that the college of education's curriculum includes a series of lectures regarding quadratic curves, and that within them, the mathematical content about quadratic curves associated with high school mathematics was thoroughly covered. Also, a large number of students who attended the lecture reported a significant increase in their understanding in regards to the quadratic curves. Second, it is strongly recommended to strengthen the connection between the college of education's curriculum and the actual high school education field. The prospective teachers think that there is a substantial need to learn about the quadratic curves because it is closely connected with the high school curriculum. But they find it challenging to put what they were taught into practical use in the high school education field, and feel that an improvement in this area is much needed. Third, it is necessary to promote, encourage and support the voluntary efforts to expand the range of the content knowledge in quadratic curves to cover the academic content associated with the high school mathematics.

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과학영재학교 교육과정 운영실태와 학생 반응분석

  • 문경근;박일영;박수경;정권순;추봉욱;곽미용
    • Proceedings of the Korean Society for the Gifted Conference
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    • 2003.11a
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    • pp.165-166
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    • 2003
  • 2002년 3월부터 영재교육법 시행령이 적용됨에 따라 과학기술부에서는 교육인적자원부, 부산광역시 교육청과의 협약을 통하여 부산과학고등학교를 과학영재학교로 지정하였으며 2003년 3월 신입생 입학 이후 현재까지 운영되고 있다. 과학영재를 조기에 발굴하여 맞춤식 교육을 체계적으로 실천함으로써 지식기반 사회를 선도할 수 있는 창의적인 과학영재를 육성하려는 과학영재학교의 설립목적에 부합되도록 계획, 운영, 평가되기 위해서 현재 진행되고 있는 운영 전반에 대하여 점검 및 분석이 이루어질 필요가 있다. 이에 과학영재학교 운영상의 주요 측면인 교육과정 운영 분야에 대하여 그 실태와 학생 반응을 분석하는데 본 연구의 목적이 있다. 과학영재학교의 교육과정 기본 방침은 과학 분야에 대한 깊은 이해와 논리적, 비판적, 창의적 사고력과 태도를 통하여 지식을 창출하는 자기 주도적 탐구자의 양성을 전제로 하고 있으며 교육과정 편제는 교과, 자율연구, 위탁교육 및 특별활동으로 구성되어있다. 교과에는 국어, 사회, 외국어, 예체능을 포함하는 보통교과와 수학, 과학, 정보과학을 포함하는 전공교과가 있다(과학영재학교 교수요목안내서, 2003). 본 연구에서 교육과정 편제, R&E, 교수학습 및 평가의 하위 영역별로 그 실태와 각 영역별 학생 설문 결과를 분석한 결과는 다음과 같다. 첫째, 영재학교 교육과정 편제 및 운영에 대한 학생들의 인식을 조사한 결과, 심화 선택과목의 학점 비중을 더 높여야한다는 의견과 보통교과의 학점을 줄이고 전공교과의 학점을 늘려야 한다는 의견이 상대적으로 높게 나타났다. 이러한 결과는 대상 학생들이 과학영재학교 선발과정에서 수학, 과학 각 분야별 우수자로 선발된 경우가 많아 학생 개인적으로 자신감을 가지는 과목만 집중적으로 학습하고자 하는 의도의 반영으로 볼 수 있다. 이와 관련하여 영재교육과정의 운영지침(이상천, 2002)에 의하면, 대학 수준의 내용을 그대로 도입하는 속진보다 창의성과 사고력 계발에 보다 충실할 수 있도록 내용의 폭을 넓히고 접근방법을 달리하는 심화 중심으로 교육과정을 구성하고 운영한다고 하였다. 그러나 현재 개발된 교육과정 편성과 운영은 창의성 교육의 구현보다는 압축형 속진 교육과정의 특성이 강하여, 이와 같은 운영지침을 실현하기 어려운 것이 현실이므로 교육과정 편제의 개선이나 운영지침에 적합한 교육내용의 개발이 시급히 이루어져야 할 것이다. 둘째, R&E(Research & Education)는‘연구를 통한 교육’,‘교육을 통한 연구’를 의미하며 과학영재교육과정의 가장 큰 특징이라 할 수 있는 자율연구와 위탁교육을 위한 프로그램이다.

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Observation Assessment for Science Gifted Education (정보과학 영재교육에서 관찰 평가)

  • Won, Seo Seong;Kim, Eui-jeong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2009.10a
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    • pp.595-598
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    • 2009
  • 최근 영재 및 영재교육에 관련된 연구가 다방면에서 진행되고 있으며, 초기에 수학 및 과학 분야 위주로 이루어졌던 영재교육은 정보, 발명, 인문, 예술 등의 기타 분야로 점차 확대되어 가고 있다. 사회적으로는 고도화된 정보화 사회로의 진행과 더불어 정보과학에서도 영재교육데 대한 관심과 중요성이 커지고 있다. 그러나 정보과학의 학문적 역사가 짧고 그 범위의 설정이 어려운 만큼 정보과학 분야의 영재교육에 있어서도 대상자의 선발과 교육이 어려운 것이 사실이다. 특히 영재교육 대상자의 선정과 교육에 필수적인 평가 방식에 대한 학문적 연구가 부족하여 교육 방식의 보완과 창의적인 대상자 선발에 있어 개선에 대한 목소리가 높다. 이에 본 연구에서는 여러 형태의 평가 방식 중 관찰평가가 평가도구로서 어떻게 작용하는지 다면 평가의 측면에서 지필평가와 보완적 작용을 하는지에 대해 연구하였다. 이를 위해 2년간의 학습자들의 지필평가 성적과 관찰평가 중 리커트 척도 방식의 체크리스트와 서술형 관찰 기록지 사이의 상관관계를 통계적으로 분석 하였다. 또한 항목간의 상관관계를 알아보기 위해 체크리스트와 서술형 관찰기록지의 하위 항목간의 상관관계를 분석하였다. 연구 결과 체크리스트의 하위항목 분석을 통해서는 태도와 문제해결 능력 간의 상관관계, 수학적인지영역과 문제해결 능력 간의 유의미한 상관 관계를 알 수 있었으며, 서술형 관찰 기록지 분석을 통해서는 투입 프로그램 적응 능력이라 할 수 있는 과정적 영역은 정의적 영역과 인지적 영역의 상관 관계가 중요함을 알 수 있었다. 또한 평가 방식간의 상관 관계는 지필 평가와 관찰 평가의 유의미한 연관성이 없다는 것이 밝혀졌다. 즉, 정보과학 분야 영재교육 학습자의 잠재 능력이나 사회성, 창의성, 문제해결력 등을 평가하기 위해서는 지필평가와 더불어 관찰평가가 반드시 필요하며 다면평가의 측면에서 상호 보완적인 역할을 한다는 것이다.

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Internet Usage of School Mathematics (학교 수학교육에서의 인터넷 활용 실태)

  • Kim, Min-Kyeong;Noh, Sun-Sook;Lee, Jun-Yub
    • Journal of The Korean Association of Information Education
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    • v.5 no.1
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    • pp.83-100
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    • 2001
  • A survey about uses of internet was conducted for elementary, middle and high school mathematics teachers in Seoul to determine the accessibility, level of usage, expertise, and general attitudes towards using internet for educational purposes. The survey indicated that only half of the teachers had computers in the classroom and less than 10% of the teachers had access to the internet in the classroom. The survey suggests that in order to quickly incorporate internet into mathematics education, teachers need help in getting the hardware, training for technology application, and Korean based resources on the internet. The survey also suggests that the teachers need to recognize the power of the internet usage and to do research to find a better way to integrate technology into their teaching.

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A Historical Analysis on Trigonometric Functions (삼각함수 개념의 역사적 분석)

  • Yoo, Jae Geun
    • Journal of Educational Research in Mathematics
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    • v.24 no.4
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    • pp.607-622
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    • 2014
  • The purpose of this paper is that it analyzes the historical development of the concept of trigonometric functions and discuss some didactical implications. The results of the study are as follows. First, the concept of trigonometric functions is developed from line segments measuring ratios to numbers representing the ratios. Geometry, arithmetic, algebra and analysis has been integrated in this process. Secondly, as a result of developing from practical calculation to theoretical function, periodicity is formalized, but 'trigonometry' is overlooked. Third, it must be taught trigonometry relationally and structurally by the principle of similarity. Fourth, the conceptual generalization of trigonometric functions must be recognized as epistemological obstacle, and it should be improved to emphasize the integration revealed in history. The results of these studies provide some useful suggestions to teaching and learning of trigonometry.

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A Comparative Study on the Elementary School Mathematics Curricula of Korea and Japan - Focused on the Revised Curricula - (한.일 초등학교 수학과 교육과정 비교 연구 - 개정 교육과정을 중심으로 -)

  • Lim, Hyun-Soo;Kang, Hong-Jae
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.337-353
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    • 2010
  • The purpose of this study is to provide a useful reference for the elementary school mathematics curriculum of Japan. For this research, we compare the new version of the elementary school mathematics curriculum of Japan and Korea. Roughly speaking, Japan emphasized learning through mathematical ability. On the other hand, the case of Korea, a special emphasis was placed on the ability of problem-solving and mathematical communication. These abilities developed on the base of the mathematical knowledge and skill. The ratio of teaching time are high on mathematics, but Japan ensures much more hours than Korea. Finally we will focus on the result for the application process of the primary school mathematics curriculum.

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Analysis of Effectiveness of NCS Mathematics Ability Course in Junior College (전문대학에서 NCS 수리능력 수업의 효과성 분석)

  • Ban, Heeyoung
    • Journal of the Korean School Mathematics Society
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    • v.21 no.2
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    • pp.91-111
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    • 2018
  • Junior college students in located Eup-Myeon areas commonly fail to meet the basic standards of mathematics. This leads students to lack basic knowledge and to have difficulties in studying their majors. In addition, students often lose their interest in the study and eventually leave school or drop out, while some have difficulties in their life at work. To remedy and solve these problems, the country proposes National Competency Standards(NCS). The basic occupational competencies proposed in NCS are essential occupational abilities required to successfully perform the job. I want to apply mathematical ability, which is one of the basic occupational competencies, to mathematics education of junior college. Applying NCS mathematical ability to junior college students, I would like to examine the effectiveness of the NCS mathematical ability course. The purpose of this study is to find out the way of education of desirable mathematical ability and to raise basic academic ability and interest in mathematics.