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Titlebook: Mathematical Knowledge: Its Growth Through Teaching; Alan J. Bishop,Stieg Mellin-Olsen,Joop Dormolen Book 1991 Springer Science+Business M

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书目名称Mathematical Knowledge: Its Growth Through Teaching
编辑Alan J. Bishop,Stieg Mellin-Olsen,Joop Dormolen
视频video
丛书名称Mathematics Education Library
图书封面Titlebook: Mathematical Knowledge: Its Growth Through Teaching;  Alan J. Bishop,Stieg Mellin-Olsen,Joop Dormolen Book 1991 Springer Science+Business M
描述In the first BACOMET volume different perspectives on issues concerning teacher education in mathematics were presented (B. Christiansen, A. G. Howson and M. Otte, Perspectives on Mathematics Education, Reidel, Dordrecht, 1986). Underlying all of them was the fundamental problem area of the relationships between mathematical knowledge and the teaching and learning processes. The subsequent project BACOMET 2, whose outcomes are presented in this book, continued this work, especially by focusing on the genesis of mathematical knowledge in the classroom. The book developed over the period 1985-9 through several meetings, much discussion and considerable writing and redrafting. Our major concern was to try to analyse what we considered to be the most significant aspects of the relationships in order to enable mathematics educators to be better able to handle the kinds of complex issues facing all mathematics educators as we approach the end of the twentieth century. With access to mathematics education widening all the time, with a multi­ tude of new materials and resources being available each year, with complex cultural and social interactions creating a fluctuating context of educat
出版日期Book 1991
关键词Mathematica
版次1
doihttps://doi.org/10.1007/978-94-017-2195-0
isbn_softcover978-90-481-4095-4
isbn_ebook978-94-017-2195-0Series ISSN 0924-4921 Series E-ISSN 2214-983X
issn_series 0924-4921
copyrightSpringer Science+Business Media Dordrecht 1991
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The Fragility of Knowledge,seems that never before had knowledge been so readily available, but it is at the same time extremely fragile. The fragility of knowledge is accompanied by increasing difficulties of handling knowledge and of establishing relations with the practice of knowledge.
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Forms and Means of Generalization in Mathematics,nguage differ, as we know, from generalizing in many sciences, but generalizing in mathematics certainly takes specific forms and makes use of very special means. These forms and varieties as well as the means of generalizing are the objects of the subsequent reflections.
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The Benefits and Limits of Social Interaction: The Case of Mathematical Proof,ime in France: the last French programmes. (1985) for the eighth grade state that students should be trained progressively to construct deductive reasoning, and this training must be intensive in the ninth grade. The situation is the same in other countries, like in Québec:
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The Double Bind as a Didactical Trap, communication from mother to child in which the two modes of communication contradict each other. For instance could the verbal expressions of the mother express attraction at the same time as her facial gestures express rejection?
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