• 제목/요약/키워드: Development of materials on mathematics

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A Study on The Application of Oriental History of Mathematics in School mathematics (수학 교수-학습에서의 동양 수학사 활용에 관한 연구)

  • Yang, Sung-Ho;Lee, Kyung-Eon
    • The Mathematical Education
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    • 제49권1호
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    • pp.15-37
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    • 2010
  • In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".

Generalization of 'Gakdeungbyeonhyeongseupyu' by utilizing GeoGebra (GeoGebra를 활용한 각등변형습유(各等邊形拾遺)의 일반화)

  • Yang, Seonghyun
    • Journal for History of Mathematics
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    • 제29권2호
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    • pp.73-88
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    • 2016
  • To introduce materials related to our traditional mathematics and to reinterpret modernly them could be a good tool to find the cultural values of them. We analyzed the degree for utilization of the history of mathematics in the middle school textbooks developed depending on the 2009 revised mathematics curriculum. Through this, we suggest the need for research on concrete and practical teaching and learning materials development utilizing the history of mathematics. We reinterpret, in modern style based on the curriculum, two subjects dealt with in 'GakDeungByeonHyeongSeupYu', the first theme of 'SanSulGwanGyeon' written by Lee Sang Hyuk. We expansively reconstruct the original samples up to regular decagon so that students might figure out the situation of all regular polygon using a kind of mathematics software GeoGebra. Also this process is constructed on the basis of the curriculum for an implementation the secondary school classes.

Elementary School Teachers' Perception on the Need of Professional Development in Mathematics (수학 교과 전문성 개발 필요에 대한 초등 교사의 인식)

  • Park, Jukyung
    • Education of Primary School Mathematics
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    • 제23권4호
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    • pp.191-206
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    • 2020
  • The purpose of this study was to find an implication for a direction to improve professional development in mathematics by exploring elementary school teachers' perception of the need for professional development in mathematics. To this end, 4 elementary school teachers were organized into one focus group, and group discussion materials were collected and analyzed based on cases of mathematics professional development needs. As a result of the study, the elementary school teachers' perception that the need for professional development in mathematics is both unnecessary and necessary. The perception of unnecessary was influenced by the easy level of elementary school mathematics content and the ease of teaching. Also, the perception of necessary factors were considering various aspects of mathematics teaching, changing the accumulation of failures in mathematics classes, maintaining authority of students, demand for class improvement due to social change, the impact of school work, the influence of the community of professional development and peers in school, and efforts to grow as teachers. Based on these results, the author discussed ways to promote teachers' participation in mathematics professional development by considering elementary school teachers' perceptions of the need of mathematics professional development.

The Consequences of Development and Application of Interest Induced Learning Material on Mathematics Scholastic Achievement - Focused on vocational high school - (흥미유발 학습자료의 개발ㆍ적용이 수학과 학업성취에 미치는 영향 (실업계 고등학교를 중심으로))

  • 오수창
    • Journal of the Korean School Mathematics Society
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    • 제3권2호
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    • pp.111-122
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    • 2000
  • This study is focused on vocational high school students who feel hardly interested in mathematics and are considered to have very limited basic scholastic ability. It analyzes the data obtained by applying the material, extracted from the Internet and literature to school classes from March to July, for the purposes of improving the degree of scholastic achievement on the basis of the fact that interest induced learning materials were developed and applied to the students to bring about their motivation resulting in a positive change in understanding and attitudes to mathematics. According to the result of the analysis, the level of students' scholastic ability of both the comparative class and the experimental class were too low to become interested in mathematics. However, the experimental class students seemed to feel familiar to the learning materials rather than reluctant, and it appeared that their interest and behavior of learning began to change gradually in an extent. In addition to that, as an aspect of scholastic achievement there was not considerable difference between the two classes, but as time went, some valuable changes were found. Unfortunately, the size of group of the research was small and the period of the experimental classes was not extensively long, and therefore the same result might not occur in other groups. However, it is believed that in class-time, educating students by putting in learning materials bringing about relevant motivation to the class, will lead them to become interested in mathematics, and change their attitudes and understanding of mathematics. After all, scholastic achievement will be effective.

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Development of Web-based Education Program for the Gifted in Mathematics (웹기반 원격 수학영재교육 학습자료 개발)

  • 이영희
    • Journal of Gifted/Talented Education
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    • 제13권1호
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    • pp.81-95
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    • 2003
  • There have been tremendous needs and requirements of special education for the gifted to the level of country development and for developing their talents. Even though a lot of research has been done on special education for the gifted supported by the government, lack of educational materials and material development has been a main concern. Some trails using the web with the help of information technology have been made on distance education and resulted good effect on education. No application using a web-based educational method has been made on special education for the gifted so far. This paper describes about the web-based special education for the gifted on mathematics. The discussed topics are development of educational materials, compliments of the current educational materials in mathematics being used at the KIGES(Kyungnam Institute of the Gifted Education in Science), and the continuation of special education for the gifted. Furthermore, a better and more efficient way is suggested for special education for the gifted that has been limited by geographic and locational restrictions.

Development of mathematical learning materials through geometric problems and the invention of pentominoes (기하학적 문제와 펜토미노의 발명을 통한 수학 학습에서의 자료 개발)

  • Hwang, Sun-Wook;Shim, Sang-Kil
    • Journal for History of Mathematics
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    • 제20권1호
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    • pp.57-72
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    • 2007
  • Recently, dissection puzzles such as pentominoes have been used in mathematics education. But they are not actively applicable as a tool of problem solving or introducing mathematical concepts since researches about the historical background and developments of mathematical applications of such puzzles have not been effectively accomplished. In this article, in order to use pentominoes in mathematical teaming effectively, we first investigate geometric problems related to dissection puzzles and the historic background of development of pentominoes. And then we collect and classify data related to pentomino activities which can be applicable to mathematics classes based on the 7th elementary school national curriculum. Finally, we suggest several basic materials and directions to develop more systematic learning materials about pentominoes.

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A Study on the Development of Person-Based Class Materials in Subject (<수학과제 탐구> 과목의 인물 중심 수업 자료 개발 관련 연구)

  • Lee, Dong Gun
    • Communications of Mathematical Education
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    • 제35권4호
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    • pp.475-504
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    • 2021
  • This study is a study that developed class materials that can be applied directly to classes by field teachers in consideration of ' research on the development is valuable as a field support study.', 'In material development, organizing data centering on the knowledge composition and inquiry activities of characters related to the mathematics concept can help develop class materials', and 'The fact that the development of subject data for has been insufficient'. To this end, this study went through the procedure of 'establishing a data development plan, data development, verifying field teachers on development data, verifying subject experts on development data, and developing final data reflecting verification opinions.' Therefore, based on the 1st 50 minutes reflecting the task exploration model, it was possible to develop class materials for the 3rd time. In this study, development data were presented with a 17-week curriculum plan, a class guidance plan that presents teacher-student interaction, and a task development form that students fill out and submit in class. This study was developed with the developed data in mind to be applied to actual classes. Therefore, a follow-up study is needed to apply the developed data to actual classes and analyze the results.

A Study on the Process of Teaching.Learning Materials Development According to the Level in the Figurate Number Tasks for Elementary Math Gifted Students (초등 수학 영재를 위한 도형수 과제의 수준별 교수.학습 자료 개발 절차와 방법에 관한 연)

  • Kim, Yang-Gwon;Song, Sang-Hun
    • Journal of Elementary Mathematics Education in Korea
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    • 제14권3호
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    • pp.745-768
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    • 2010
  • The purpose of this study at gifted students' solving ability of the given study task by using all knowledge and tools which encompass mathematical contents and curriculums, and developing the teaching learning materials of gifted students in accordance with their level which tan enhance their mathematical thinking ability and develop creative idea. With these considerations in mind, this paper sought for the standard and procedures of teaching learning materials development according to the levels for the education of the mathematically gifted students. presented the procedure model of material development, produced teaching learning methods according to levels in the task of figurate number, and developed prototypes and examples of teaching learning materials for the mathematically gifted students. Based on the prototype of teaching learning materials for the gifted students in mathematics in accordance with their level, this research developed the materials for students and materials for teachers, and performed the modification and complement of material through the field application and verification. It confirmed various solving processes and mathematical thinking levels by analyzing the figurate number tasks. This result will contribute to solving the study task by using all knowledge and tools of mathematical contents and curriculums that encompass various mathematically gifted students, and provide the direction of the learning contents and teaching learning materials which can promote the development of mathematically gifted students.

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High School Mathematics Teachers' Conception of Mathematics Textbooks Based on Storytelling (고등학교 수학 교사의 스토리텔링 수학 교과서에 대한 이해)

  • Kwon, Oh-Nam;Ju, Mi-Kyung;Park, Kyoo-Hong;Oh, Hye-Mi;Park, Ji-Hyun;Cho, Hyung-Mi;Lee, Ji-Eun;Park, Jung-Sook
    • The Mathematical Education
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    • 제51권3호
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    • pp.223-246
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    • 2012
  • Korean Ministry of Education Science, and Technology(MEST) has recommended the introduction of mathematics textbooks based on storytelling to improve the teaching and learning of mathematics in school. As part of the mathematics textbooks based on storytelling development, this research has investigated school mathematics teachers' perspectives on mathematics textbooks based on storytelling in order to identify implications for the development and the implementation of it. For the purpose, we have developed survey questionnaire and administered it to 113 high school mathematics teachers. The survey asked the teachers to address their conception of mathematics textbooks based on storytelling, its contribution to school mathematics, challenges and obstacles for the implementation. The survey shows that the mathematics teachers' conception of mathematics textbooks based on storytelling was not clear or limited. Most of them replied that they received information about mathematics textbooks based on storytelling from the materials provided by workshop or materials of school district office. While the teachers heard about that school will implement mathematics textbooks based on storytelling, they rarely had idea of how to use them in class. In the survey, the teachers identified which type of storytelling is effective for which purpose of mathematics education. They also identified the positive effect and the difficulties in the implementation of mathematics textbooks based on storytelling. The mathematics teachers pointed out that textbook is not enough. They urged that the implementation of mathematics textbooks based on storytelling should be integrated into classroom teaching and assessment to make a significant change in the educational practice of mathematics in school. Thus, mathematics teachers need support to implement mathematics textbooks based on storytelling into their teaching practice. Teacher workshop and teacher manuals need to be developed to help teachers understand educational visions and values of mathematics textbooks based on storytelling. These results of the survey would form the worthwhile base information for the development and the implementation of mathematics textbooks based on storytelling.

A Study on Development of Problem-Centered Learning Materials for the 7th Mathematics Curriculum (제 7차 수학 교육과정에 따른 수학과 문제 중심 학습 자료 개발 연구)

  • 신인선;권점례
    • The Mathematical Education
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    • 제42권3호
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    • pp.369-386
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    • 2003
  • Problem-centered learning has many implications on teaching and learning mathematics. Students devise their solutions to solve problems and participate in the discussion with teacher and other students to share and justify their solution during the problem-centered learning. Therefore, we purposed to provide problem-centered loaming materials to be able to use in teaching and loaming the 7th mathematics curriculum in this study. First, we reviewed the 7th curriculum and its textbooks to know what and how students learn and suggested the problem-centered learning as a teaching method to perform the 7th curriculum. Next, we developed the problem-centered loaming materials for 6th grade in elementary school and taught students with these materials to amend errors. Finally, we developed evaluation criteria to evaluate students while they teamed mathematics in the problem-centered learning.

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