• Title/Summary/Keyword: Chinese mathematics

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Chinese Mathematics in Chosun (조선(朝鮮)과 중국수학(中國數學))

  • Lee, Chang Koo;Hong, Sung Sa
    • Journal for History of Mathematics
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    • v.26 no.1
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    • pp.1-9
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    • 2013
  • It is well known that the development of mathematics in eastern Asia was based on Chinese mathematics. Investigating Chinese mathematics books that were brought into Chosun, we study how Chinese mathematics influenced Chosun mathematics. Chinese mathematics books were brought into Chosun in three stages, namely basic mathematics books in the era of King SeJong(1397-1450), Chinese mathematics books influenced by western mathematics in the 17th century and finally those with commentaries on mathematics of Song-Yuan era in the 19th century. We also study the process of their importations.

Chinese Mathematicians and their works (중국 수학자와 산서)

  • Kim Chang-Il
    • Journal for History of Mathematics
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    • v.19 no.3
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    • pp.21-42
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    • 2006
  • We investigate chinese mathematicians and their works including their books. We also compare the present transcription of chinese mathematicians and their mathematics books with that in published books on history of chinese mathematics.

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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.

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.

The Succession and Innovation of Wasan to Chinese Mathematics -A case study on Seki's interpolation (和算对中算的继承与创新-以关孝和的內插法为例)

  • Qu, Anjing
    • Journal for History of Mathematics
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    • v.26 no.4
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    • pp.219-232
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    • 2013
  • Japanese mathematics, namely Wasan, was well-developed before the Meiji period. Seki Takakazu (1642?-1708) is the most famous one. Taking Seki's interpolation as an example, the similarities and differences are made between Wasan and Chinese mathematics. According to investigating the sources and attitudes to this problem which both Japanese and Chinese mathematicians dealt with, the paper tries to show how and why Japanese mathematicians accepted Chinese tradition and beyond. Professor Wu Wentsun says that, in the whole history of mathematics, there exist two different major trends which occupy the main stream alternately. The axiomatic deductive system of logic is the one which we are familiar with. Another, he believes, goes to the mechanical algorithm system of program. The latter featured traditional Chinese mathematics, as well as Wasan. As a typical sample of the succession of Chinese tradition, Wasan will help people to understand the real meaning of the mechanical algorithm system of program deeper.

A Comparative Study of School Mathematics Terminology in Korean, Chinese and Japanese (한국, 중국, 일본의 학교 수학 용어 비교 연구)

  • Park Kyung Mee
    • The Mathematical Education
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    • v.43 no.4
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    • pp.337-347
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    • 2004
  • Korea and China have maintained close relationships since the ancient times along with Japan, which also shares the common Chinese culture. The three major players in Northeast Asia have been recognizing their increasing importance in politics, economy, society, and culture. Considering those relationships among the three countries, it's necessary to compare and investigate their mathematics terminology. The purpose of this study is to investigate the similarities and differences between the terminology of school mathematics in Korean, Chinese and Japanese. The mathematics terms included in the junior high school of Korea were selected, and the corresponding terms in Chinese and Japanese were identified. Among 133 Korean terms, 72 were shared by three countries, 9 Korean terms were common with China, and the remaining 52 Korean terms were the same as Japanese terms. Korea had more common terms with Japan than China, which can be explained by the influences of the Japanese education during its rule of Korea in the past. The survey with 14 terms which show the discrepancy among 3 countries were conducted for in-service teachers and pre-service teachers. According to the result of the survey, preferred mathematics terms are different from one group to the other, yet the Korean mathematics terms were more preferred in general. However some terms in Chinese and Japanese were favored in certain degree. This result may provide meaningful implications to revise the school mathematics terms in the future.

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Analysis of Mathematics Ability Structure in Chinese Mathematical Gifted Student

  • Li Mingzhen;Pang Kun
    • Research in Mathematical Education
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    • v.9 no.4 s.24
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    • pp.329-333
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    • 2005
  • Based on author's practice of instructing Chinese gifted students to join the Chinese Mathematics Olympic (CMO), the paper adopted test analysis model of the Scholastic Aptitude Test of Mathematics (SAT-M), tested mathematics ability of 212 mathematical gifted students to join the CMO, applied correlation analysis and factor analysis and proposed the mathematics ability structure in Chinese gifted students including comprehensive operation ability, logic thinking ability, abstract generalization ability, spatial imagination ability, memory ability, transfer ability and intuition thinking ability. And it analyzed the expression form of these abilities respectively and gave some suggestion on mathematics teaching about gifted Chinese students.

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Tentative Analysis on the Reasons of China's Lags in Neoteric Mathematics

  • Zhang, Xiong
    • Research in Mathematical Education
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    • v.12 no.2
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    • pp.143-149
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    • 2008
  • Before the 14th century, China had been thought as one of the countries with the most developed mathematics all along. But after the 16th century, Chinese mathematics increasingly walked up to the eclipse. The main reasons include the following points. First, the development of neoteric mathematics was closely associated with the social industrialization, but the lags in feudal China seriously blocked the development of the capitalistic seed, and China was still in the agricultural society then and couldn't step into the industrial society, which impeded the development of mathematics concerned with the industry and commerce. Second. the increasingly carrion feudalization was one of the essential reasons to block the development of Chinese neoteric mathematics. Finally, seeing about the developing logics of Chinese neoteric mathematics, we can find it was a scattered and experiential mathematical knowledge without strict and rational self-organizing structure system, which had the limitations existing in its interior mechanism.

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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
    • 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.