• 제목/요약/키워드: mathematics textbooks

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Design and Implementation of Mathematics Textbooks in Support of Effective Teaching for Secondary Schools: A Chinese Case

  • PENG, Aihui;SONG, Naiqing
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제19권4호
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    • pp.247-265
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    • 2015
  • Mathematics textbook plays a significant role in shaping students' learning of mathematics. Logic, rigor and abstraction as typical features of the formalization of mathematics, dominate mathematics textbooks around the world, which is regarded as one of the important origins of students' learning difficulties in mathematics. An innovative series of Chinese mathematic textbooks is presented in this paper. Supported by the supplementary materials excerpts from the textbooks, it gives a comprehensive theoretical analysis of the principles of design and implementation of this series of mathematics textbooks. The effectiveness of this series of textbooks is demonstrated by student achievement and secondary research data. It shows that series of Chinese mathematic textbooks has largely decreased students' learning difficulties in mathematics and enhance classroom teaching efficiency. It suggests that prioritizing the essence of mathematics and reducing abstraction is an important notion for mathematics textbook design and implementation.

Differences of Meaning Understanding among Teachers, Students, Parents, and Experts about Elementary Mathematics Textbooks

  • KWON, Sungho;KANG, Kyunghee
    • Educational Technology International
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    • 제9권2호
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    • pp.17-37
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    • 2008
  • This study is to examine different views of teachers, students, parents and experts on existing mathematics textbook and ideas and alternatives for developing new textbooks. We interviewed deeply with 18 teachers, 18 students, 9 parents, and 4 experts and analyzed two analysis frame categories; Strengths and weaknesses of current textbooks and directions of mathematics textbooks that will be revised. We found that among teacher, student, parent and expert, there are some differences of meaning about mathematics textbooks, based on interview questions. The directions of new textbooks are as follows. First, 'the definitions of mathematics textbook concepts' shared and sympathized by teachers, students, parents, and experts should be considered in developing the textbooks. Second, the textbooks should be much usable in classrooms and be matched to the goals of mathematics subjects. Third, the contents and levels of difficulty of the textbooks should be based on the specific objectives and the analysis of curriculum and its contents. Fourth, understanding students should be presupposed as the external side of contents and the textbooks themselves should be associated with the image of joyful and fun mathematics. Fifth, the mathematics textbooks should reflect real daily life to their contents and be linked to other subjects.

중국 수학 교과서의 수학사 활용 분석 (Analysis on Using the History of Mathematics in Chinese Mathematics Textbooks)

  • 장혜원
    • 한국수학사학회지
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    • 제28권1호
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    • pp.15-29
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    • 2015
  • This study aims to analyze how the history of mathematics is used in Chinese mathematics textbooks. As a framework for analysis, we categorized nine types of using the history of mathematics in textbooks. We analyzed 18 mathematics textbooks for Chinese elementary and middle schools. As a result, we found that various types of using the history of mathematics were adopted in Chinese textbooks except for explorations of mathematical errors in history. We also noticed three characteristics: preference to using for motivation and reading matters in elementary school levels, high frequencies of using problems from traditional mathematical books and origins of mathematical concepts or symbols, and emphasis on ethnic superiority through the Chinese traditional mathematics. Based on the results of analysis, we discussed and induced some implications for using the history in our mathematics textbooks.

북한 고등중학교 수학 교과서 구성 방식의 변화 고찰 (A study on the characteristics of the structure of mathematics textbooks of North Korean secondary school)

  • 임재훈;이경화;박경미
    • 대한수학교육학회지:수학교육학연구
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    • 제13권1호
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    • pp.95-106
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    • 2003
  • This study attempts to identify the characteristics of the structure of mathematics textbooks of North Korean high schools. The previous researches on the mathematics textbooks of North Korea show that North Korean mathematics textbooks have a linear structure, which is different from a spiral structure of South Korean textbooks. However, this study found that the textbooks of North Korea published after 1994 indicate that some sections reveal a spiral structure. In addition, most sections of North Korean mathematics textbooks are collectively composed, particularly so in the section of algebra.

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수학교과서 연구 동향 분석 - 2006년부터 2011년에 게재된 국내 학술지 논문을 중심으로 - (Research Trends of Mathematics Textbooks - Focused on the Papers Published between 2006 and 2011 in Domestic Journals -)

  • 방정숙;황현미
    • 한국수학교육학회지시리즈A:수학교육
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    • 제51권3호
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    • pp.247-263
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    • 2012
  • The purpose of this study was to analyze recent research trends of mathematics textbooks to provide implications for textbook research and development. For this purpose, 90 out of 1121 research papers published between 2006 and 2011 in seven prestigious domestic journals were selected. The papers dealing with only Korean mathematics textbooks were analyzed by school levels (i.e., elementary or secondary), mathematics content areas, analytic methods, and implications. The papers comparing our mathematics textbooks with foreign counterparts were analyzed by reasons for the comparison, school levels, subjects for analysis, and implications. The results of this study urge us to pay more attention to secondary mathematics textbooks, least studied content areas, and various but inconsistent analytic methods. This paper also suggests close connections between textbook analysis and textbook development.

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

  • 권오남;주미경;박규홍;오혜미;박지현;조형미;이지은;박정숙
    • 한국수학교육학회지시리즈A:수학교육
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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.

제7차 교육과정에 따른 초등학교 수학 교과용 도서 편찬 (Writing Textbooks for Elementary School Mathematics in Accordance with the Seventh Curriculum)

  • 배종수
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제2권2호
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    • pp.85-102
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    • 1998
  • Since textbooks for elementary school mathematics in accordance with the seventh curriculum are 'Class I' textbooks, which are used as one and only one textbooks throughout the country, the following aspects have been considered: In the legal aspect, the contents including the curriculum for mathematics asked of the Writing Committee by the Ministry of Education were reflected; in the aspect of theory of mathematics education, the textbooks are written in a way appropriate to theory of mathematics education; and in the aspect of application of reality, the textbooks are written to help improving mathematics education in classrooms. Therefore, the main frame of writing the textbooks is to make students feel proud enough to say "I have done mathematics", through helping students rationally solve problems surrounding them by themselves with their experiences and activities. In the above viewpoint the following sentence is reflected upon: "Hundred explanations are not equal to one manipulation activity."

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수학 교과서에 대한 고등학생의 인식 및 활용 (High-school students' understanding and use of mathematics textbooks)

  • 박지훈;김구연
    • 한국수학교육학회지시리즈A:수학교육
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    • 제58권4호
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    • pp.589-607
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    • 2019
  • 학생들이 수학 교과서에 대해서 어떻게 생각하는지 또한 학습에서 어떻게 활용하는지에 대하여 알려진 바가 거의 없다. 이 연구에서는 고등학생들이 수학 교과서를 어떻게 인식하고 활용하는지를 탐색하고자 하였다. 인터뷰 질문지를 개발하여서 고등학생 11명을 대상으로 인터뷰를 실시하였다. 그 결과로, 다음 세 가지 측면을 발견하였다. 첫째, 학생들은 교과서를 수업에서 활용하는 자료로 인식하며 대학 입학시험을 준비하는 데 중요한 교재로 사용하는 것으로 나타났다. 둘째, 학생들은 교과서를 학교에서 시행하는 중간 또는 기말고사 등 정기고사 시험을 대비하는 데 있어서 필수로 사용하지만, 실질적인 학습에는 매우 한정하여서 활용하는 것으로 나타났다. 셋째, 학생들은 교과서를 통해서 기르고자 하는 수학적 사고능력이 무엇인지에 대하여서는 거의 파악하지 못하는 것으로 나타났다.

한국과 일본의 초등수학 교과서 구성의 내적 체제 비교 (A Comparative Study on the Internal System of Elementary Mathematics Textbook Composition in Korea and Japan)

  • 김판수;이영주
    • East Asian mathematical journal
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    • 제38권4호
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    • pp.439-461
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    • 2022
  • Since 2022, textbooks in elementary school mathematics have been converted from national textbook system to authorization system, but it is pointed out that the composition of these new textbooks is almost the same as the existing national textbooks and the advantages of the authorization system cannot be utilized. Therefore a need has been raised to find out the composition of foreign textbooks. In order to compare the internal system of elementary mathematics textbook composition in Korea and Japan, Wakuwaku Sansu, one of Japan's elementary mathematical textbooks was analyzed and compared with Korean textbooks. As a result of the analysis, it was found that Japanese textbooks have more flexibility in the composition of the unit, the number of hours of the unit, the introduction of special lessons, and emphasis. This analysis will promote the diversity and creativity of the composition of elementary mathematics textbooks in Korea, providing implications for more efficient textbook compilation.

우리나라 초등학교 수학교과서에서 제시된 분배법칙 지도내용 분석 (The Analysis of Korean Elementary Mathematics Textbooks and Workbooks with Respect to Distributive Principles)

  • 김미환;이수은;김수미
    • 대한수학교육학회지:수학교육학연구
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    • 제27권3호
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    • pp.451-467
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    • 2017
  • 이 연구는 우리나라 초등학교 수학교과서 및 익힘책에 분배법칙이 어떻게 다루어지고 있는지 살펴보고, 차후 초등학교 수학과 교육과정 및 교과서 개발을 위한 시사점을 추출하고자 하였다. 이를 위해 분배법칙 지도가 철저한 중국과 일본 교과서를 살펴보고, 이를 토대로 우리나라 교과서 분석을 위한 다섯 가지 준거를 마련하였다. 분석결과 우리나라 교과서와 익힘책이 여러 가지 측면에서 분배법칙을 효율적으로 다루지 못하는 것으로 나타났다. 이러한 연구결과를 토대로 분배법칙을 초등 수학과 교육과정에 명문화하고, 초등 수학 교과서에서 명시적으로 다루는 방안을 제안하였다.