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"Variation problems" and their roles in the topic of fraction division in Chinese mathematics textbook examples
Xuhua Sun
2011-01
Source PublicationEducational Studies in Mathematics
ISSN0013-1954
Volume76Issue:1Pages:65-85
Abstract

This article deals with the roles of variation problems ("one problem multiple solution" and "one problem multiple changes") as used in Chinese textbooks. It is argued that variation problems as an "indigenous" Chinese practice aim to discern and to compare the invariant feature of the relationship among concepts and solutions. This practice also aims to provide opportunities for making connections, since comparison is considered the pre-condition to perceive the structures, dependencies, and relationships that may lead to mathematical abstraction. In the first part of the article, the "indigenous" practice is discussed against its philosophical Daoism and Confucianism backgrounds. To grasp its distinctiveness, a comparison between Chinese and American textbooks is carried out. In the second part of the article, the focus is on the manner in which fraction division is articulated in an important Chinese textbook. A framework to understand variation practice is introduced and some educational implications are suggested.

KeywordCurriculum Development Example And Exemplification Fraction Division Middle Grades, 5-8 Problem Design Textbook Comparison Variation Practice
DOI10.1007/s10649-010-9263-4
URLView the original
Indexed BySSCI ; SSCI
Language英語English
WOS Research AreaEducation & Educational Research
WOS SubjectEducation & Educational Research
WOS IDWOS:000292150100005
Scopus ID2-s2.0-78650201525
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Document TypeJournal article
CollectionFaculty of Education
Corresponding AuthorXuhua Sun
AffiliationFaculty of Education,University of Macau,Avenida Padre Tomas Pereira S. J.,Taipa, Macau,China
First Author AffilicationFaculty of Education
Corresponding Author AffilicationFaculty of Education
Recommended Citation
GB/T 7714
Xuhua Sun. "Variation problems" and their roles in the topic of fraction division in Chinese mathematics textbook examples[J]. Educational Studies in Mathematics, 2011, 76(1), 65-85.
APA Xuhua Sun.(2011). "Variation problems" and their roles in the topic of fraction division in Chinese mathematics textbook examples. Educational Studies in Mathematics, 76(1), 65-85.
MLA Xuhua Sun.""Variation problems" and their roles in the topic of fraction division in Chinese mathematics textbook examples".Educational Studies in Mathematics 76.1(2011):65-85.
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