Mechanical linkages, interactive geometry software, and argumentation: Supporting a classroom culture of mathematical proof - Couverture souple
Synopsis
It is proof which sets mathematics apart from the empirical sciences, and forms the foundation of our mathematical knowledge, yet students often fail to understand the purpose of proof, they are unable to construct proofs, and instead readily accept empirical evidence or the authority of textbooks or teachers. This research focuses on the role of mechanical linkages (devices based on systems of hinged rods) and interactive geometric software as cognitive bridges between empirical justification and deductive reasoning. The provision of motivating contexts was found to foster conjecturing and argumentation, during which the eighth grade students in the project engaged in sustained deductive reasoning in support of their conjectures and achieved high levels of success with geometric proof. Mechanical linkages and their dynamic geometry computer simulations were shown by this research to be highly suitable contexts for bridging empirical and deductive reasoning.
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Mechanical linkages, interactive geometry software, and argumentation
Edité par
LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10 : 3838300130
ISBN 13 : 9783838300139
Neuf
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -It is proof which sets mathematics apart from theempirical sciences, and forms the foundation of ourmathematical knowledge, yet students often fail tounderstand the purpose of proof, they are unable toconstruct proofs, and instead readily acceptempirical evidence or the authority of textbooks orteachers. This research focuses on the role ofmechanical linkages (devices based on systems ofhinged rods) and interactive geometric software ascognitive bridges between empirical justification anddeductive reasoning. The provision of motivatingcontexts was found to foster conjecturing andargumentation, during which the eighth grade studentsin the project engaged in sustained deductivereasoning in support of their conjectures andachieved high levels of success with geometric proof.Mechanical linkages and their dynamic geometrycomputer simulations were shown by this research tobe highly suitable contexts for bridging empiricaland deductive reasoning. 412 pp. Englisch. N° de réf. du vendeur 9783838300139
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Mechanical linkages, interactive geometry software,and argumentation
Edité par
LAP LAMBERT Academic Publishing, 2010
ISBN 10 : 3838300130
ISBN 13 : 9783838300139
Neuf
Couverture souple
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Vincent JillJill L. Vincent, BSc, MEd, PhD (University of Melbourne,Australia), was a mathematics teacher for many years. Currently aResearch Fellow in Mathematics Education at the University ofMelbourne.It is proof which sets ma. N° de réf. du vendeur 5410762
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Mechanical linkages, interactive geometry software, and argumentation | Supporting a classroom culture of mathematical proof
Edité par
LAP LAMBERT Academic Publishing, 2010
ISBN 10 : 3838300130
ISBN 13 : 9783838300139
Neuf
Taschenbuch
Vendeur : preigu, Osnabrück, Allemagne
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Taschenbuch. Etat : Neu. Mechanical linkages, interactive geometry software, and argumentation | Supporting a classroom culture of mathematical proof | Jill Vincent | Taschenbuch | 412 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838300139 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. N° de réf. du vendeur 101641130
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Mechanical linkages, interactive geometry software, and argumentation
Edité par
LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10 : 3838300130
ISBN 13 : 9783838300139
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -It is proof which sets mathematics apart from the empirical sciences, and forms the foundation of our mathematical knowledge, yet students often fail to understand the purpose of proof, they are unable to construct proofs, and instead readily accept empirical evidence or the authority of textbooks or teachers. This research focuses on the role of mechanical linkages (devices based on systems of hinged rods) and interactive geometric software as cognitive bridges between empirical justification and deductive reasoning. The provision of motivating contexts was found to foster conjecturing and argumentation, during which the eighth grade students in the project engaged in sustained deductive reasoning in support of their conjectures and achieved high levels of success with geometric proof. Mechanical linkages and their dynamic geometry computer simulations were shown by this research to be highly suitable contexts for bridging empirical and deductive reasoning.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 412 pp. Englisch. N° de réf. du vendeur 9783838300139
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Mechanical linkages, interactive geometry software, and argumentation : Supporting a classroom culture of mathematical proof
Edité par
LAP LAMBERT Academic Publishing, 2010
ISBN 10 : 3838300130
ISBN 13 : 9783838300139
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - It is proof which sets mathematics apart from theempirical sciences, and forms the foundation of ourmathematical knowledge, yet students often fail tounderstand the purpose of proof, they are unable toconstruct proofs, and instead readily acceptempirical evidence or the authority of textbooks orteachers. This research focuses on the role ofmechanical linkages (devices based on systems ofhinged rods) and interactive geometric software ascognitive bridges between empirical justification anddeductive reasoning. The provision of motivatingcontexts was found to foster conjecturing andargumentation, during which the eighth grade studentsin the project engaged in sustained deductivereasoning in support of their conjectures andachieved high levels of success with geometric proof.Mechanical linkages and their dynamic geometrycomputer simulations were shown by this research tobe highly suitable contexts for bridging empiricaland deductive reasoning. N° de réf. du vendeur 9783838300139
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Mechanical linkages, interactive geometry software, and argumentation: Supporting a classroom culture of mathematical proof
Edité par
LAP LAMBERT Academic Publishing, 2010
ISBN 10 : 3838300130
ISBN 13 : 9783838300139
Ancien ou d'occasion
Paperback
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Paperback. Etat : Like New. LIKE NEW. SHIPS FROM MULTIPLE LOCATIONS. book. N° de réf. du vendeur ERICA79038383001306
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