• Title/Summary/Keyword: analysis of mathematics textbooks

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

  • Chang, Hyewon
    • Journal for History of Mathematics
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    • v.28 no.1
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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.

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

  • Pang, Jeong-Suk;Hwang, Hyun-Mi
    • The Mathematical Education
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    • v.51 no.3
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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.

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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    • v.9 no.2
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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.

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

  • Kim, Mi Hwan;Lee, Soo Eun;Kim, Soo Mi
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.451-467
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    • 2017
  • This study examined how the distributive principles(DP) works in our elementary school textbooks and work books to figure out the implications for developing the elementary mathematics curriculum and textbooks. For this purpose, Chinese and Japanese elementary textbooks were reviewed and five criteria for the analysis of Korean textbooks and workbooks were prepared by the review. The analysis showed that Korean textbooks and work books are inefficient to handle DP in many ways. Based on these findings, this study suggested that the DP should be codified into the curriculum and explicitly dealt with in elementary math textbooks.

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

  • Kim, Pan Soo;Lee, Young Ju
    • East Asian mathematical journal
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    • v.38 no.4
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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.

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

  • PENG, Aihui;SONG, Naiqing
    • Research in Mathematical Education
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    • v.19 no.4
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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.

The analysis of sensed difficulty on the selective tracks textbooks based on 2007 revised mathematics curriculum (2007년 개정 수학과 교육과정에 따른 선택과목 교과서의 수학교사 체감난이도 분석)

  • Lee, BongJu;Kim, ChangIl
    • The Mathematical Education
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    • v.52 no.1
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    • pp.1-17
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    • 2013
  • The goal of the textbooks of 2009 revised curriculum is to make customized lectures possible considering learning characteristics and understanding level of students. However, it is not easy to find a research result on sensed difficulty of the mathematics textbook, which is able to provide valuable information on the development of the diverse level textbooks. This research suggested criteria in analysing sensed difficulties of field teachers on the textbooks, and analysed sensory difficulty on the selective tracks textbooks based on 2007 revised mathematics curriculum using the criteria. The results of the analysis on 59 mathematics selective tracks textbooks show that all have average sensed difficulty. The criteria and research results are expected to provide valuable information in future mathematics textbook development.

A Comparative Analysis of Ratio and Rate in Elementary Mathematics Textbooks (비와 비율에 대한 초등 수학 교과서 비교 분석)

  • Chang, Hyewon;Lim, Miin;Yu, Migyoung;Park, Haemin;Kim, Jusuk;Lee, Hwayoung
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.1
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    • pp.135-160
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    • 2017
  • Since mathematics textbooks for 6th graders based on the 2009 revised national curriculum were applied to the site, there has been a note pointing out that the unit of 'ratio and rate' causes some learning difficulties. This implies the necessity of search for desirable methods of organizing the unit of ratio and rate in mathematics textbooks. This study analyzed and compared Korean and foreign mathematics textbooks on ratio and rate longitudinally and horizontally, respectively. For longitudinal analysis, we selected the mathematics textbooks according to the national curriculum since the 5th one. For horizontal analysis, we took the mathematics textbooks of Japan, Singapore, Hong Kong, and Finland. In each textbook, the contents and the order in relation to ratio and rate, the definitions of terminology, and the methods for introducing related concepts are set as the analysis framework. The results of analysis revealed many characteristics and the differences in ways of dealing contents about ratio and rate. Based on these results, we suggested some implications for writing the unit of ratio and rate in elementary mathematics textbooks.

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Analysis of the Contents of the History of Mathematics in Curriculum and Textbooks for Chinese Highschool Mathematics (중국 고등학교 수학 교육과정 및 교과서의 수학사 내용 분석)

  • Cho, Hyoungmi;Chang, Hyewon
    • Journal for History of Mathematics
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    • v.31 no.5
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    • pp.235-250
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    • 2018
  • The history of mathematics is an important part of Chinese highschool mathematics curriculum. The current 2003 revised curriculum in China refers directly to the history of mathematics and presents it as one of the optional series. Moreover, they publish separate history textbooks for mathematics according to the 2003 revised curriculum. The importance of the history of mathematics in Chinese highschool curriculum, which was revised in 2017, has increased. This study aims to analyze the contents of the highschool curriculum and mathematics history textbooks, which were revised in 2003. Based on the results of analysis, we make suggestions on the use of mathematics history for teaching mathematics in Korea.

Analysis on Korean Middle School Mathematics Textbooks Published in the 1st National Curriculum Period Centerea on the Concept 'Straight Line' (제1차 교육과정기 중학교 수학교과서에 나타난 직선 관련 내용의 구성 및 전개 방식 분석)

  • Do, Jong Hoon
    • Journal for History of Mathematics
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    • v.30 no.2
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    • pp.101-119
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    • 2017
  • This paper is a follow up study of [2]. In this paper we analyse the contents of middle school mathematics textbooks published in the 1st National Curriculum Period centered on the concept 'straight line' and discuss how they are different from contemporary mathematics textbooks in view of connectedness of contents, mathematical terms, textbook as a learning material vs. teaching material, relationship between contents of national curriculum and textbooks, and some topics related to direct proportion, function, method of equivalence as a method for solving simultaneous linear equations and so on. The results of our analysis and discussion suggest implications for reforming mathematics curriculum and developing mathematics textbooks.