caa a22 4500 445881917 CHVBK 20180317145546.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s10649-010-9263-4 doi (NATIONALLICENCE)springer-10.1007/s10649-010-9263-4 Sun Xuhua Faculty of Education, University of Macau, Avenida Padre Tomas Pereira S. J., Taipa, Macau, China aut "Variation problems” and their roles in the topic of fraction division in Chinese mathematics textbook examples [Elektronische Daten] [Xuhua Sun] 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. Springer Science+Business Media B.V., 2010 Variation practice nationallicence Problem design nationallicence Curriculum development nationallicence Fraction division nationallicence Textbook comparison nationallicence Middle grades, 5-8 nationallicence Example and exemplification nationallicence Educational Studies in Mathematics Springer Netherlands 76/1(2011-01-01), 65-85 0013-1954 76:1<65 2011 76 10649 https://doi.org/10.1007/s10649-010-9263-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10649-010-9263-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sun Xuhua Faculty of Education, University of Macau, Avenida Padre Tomas Pereira S. J., Taipa, Macau, China aut NATIONALLICENCE 773 0- Educational Studies in Mathematics Springer Netherlands 76/1(2011-01-01), 65-85 0013-1954 76:1<65 2011 76 10649 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer