文章基本信息

标题：Conflicts and subtleties with the radical sign: educational implications in Spanish and Romanian textbooks
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作者：Bernardo Gómez ; Carmen Necula
期刊名称：Journal of Educational Sciences & Psychology
印刷版ISSN：2247-6377
电子版ISSN：2247-8558
出版年度：2011
卷号：1
期号：1
页码：110-115
语种：English
出版社：Petroleum-Gas University of Ploiesti
摘要：This paper concerns the ambiguity of the square root and the radical sign.This ambiguity is a problem with historical origins,reflected in influential texts of the past as in Euler (1822);Lacroix,(1831),and Peacock (1845).The epistemological/historical conceptions observed in those textbooks reveal two problems: a mathematical and an educational one.The first concerns with formal subtleties as they violate requisites for the mathematical definitions.The second concerns with deeply-rooted misunderstandings and cognitive conflicts experienced by students,teachers and textbooks.In our study we have found traces that these epistemological and historical conceptions are reflected in some present-day Spanish and Rumanian mathematical textbooks and that may be the cause of those misunderstandings and conflicts.
关键词：square roots;radical sign;historical and epistemological conceptions;textbooks;educational and mathematical problem