1st edition 2018. XXIV, 327 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband besto�en, daher M�ngelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. History of Mathematics Education. Sprache: Englisch. N� de r�f. du vendeur 1288MB

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Using Design Research and History to Tackle a Fundamental Problem with School Algebra

Sinan Kanbir

Edit� par Springer International Publishing Nov 2017, 2017

ISBN 10 : 3319592033 ISBN 13 : 9783319592039

Neuf Couverture rigide

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics-why do so many middle-school and secondary-school students find it difficult to learn algebra well What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem. The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component.The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. They also raise the question whether school algebra represents a unidimensional trait.Kanbir, Clements and Ellerton offer an unusual hybrid theoretical framework for their intervention study (by which seventh-grade students significantly improved their elementary algebra knowledge and skills). Their theoretical frame combined Charles Sanders Peirce's triadic signifier-interpretant-signified theory, which is in the realm of semiotics, with Johann Friedrich Herbart's theory of apperception, and Ken Clements' and Gina Del Campo's theory relating to the need to expand modes of communications in mathematics classrooms so that students engage in receptive and expressive modes. Practicing classroom teachers formed part of the research team.This book appears in Springer's series on the 'History of Mathematics Education.' Not only does it include an important analysis of the history of school algebra, but it also adopts a theoretical frame which relies more on 'theories from the past,' than on contemporary theories in the field of mathematics education. The results of the well-designed classroom intervention are sufficiently impressive that the study might havecreated and illuminated a pathway for future researchers to take. 352 pp. Englisch. N� de r�f. du vendeur 9783319592039

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Using Design Research and History to Tackle a Fundamental Problem with School Algebra (History of Mathematics Education)

Kanbir, Sinan; Clements, M. A. (Ken); Ellerton, Nerida F.

Edit� par Springer, 2017

ISBN 10 : 3319592033 ISBN 13 : 9783319592039

Neuf Couverture rigide

Vendeur : California Books, Miami, FL, Etats-Unis

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Etat : New. N� de r�f. du vendeur I-9783319592039

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Using Design Research and History to Tackle a Fundamental Problem with School Algebra (History of Mathematics Education)

Kanbir, Sinan; Clements, M. A. (Ken); Ellerton, Nerida F.

Edit� par Springer, 2017

ISBN 10 : 3319592033 ISBN 13 : 9783319592039

Neuf Couverture rigide

Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni

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Etat : New. In. N� de r�f. du vendeur ria9783319592039_new

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Using Design Research and History to Tackle a Fundamental Problem with School Algebra

Sinan Kanbir

Edit� par Springer International Publishing, 2017

ISBN 10 : 3319592033 ISBN 13 : 9783319592039

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics-why do so many middle-school and secondary-school students find it difficult to learn algebra well What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem. The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component.The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies,(b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. They also raise the question whether school algebra represents a unidimensional trait.Kanbir, Clements and Ellerton offer an unusual hybrid theoretical framework for their intervention study (by which seventh-grade students significantly improved their elementary algebra knowledge and skills). Their theoretical frame combined Charles Sanders Peirce's triadic signifier-interpretant-signified theory, which is in the realm of semiotics, with Johann Friedrich Herbart's theory of apperception, and Ken Clements' and Gina Del Campo's theory relating to the need to expand modes of communications in mathematics classrooms so that students engage in receptiveand expressive modes. Practicing classroom teachers formed part of the research team.This book appears in Springer's series on the 'History of Mathematics Education.' Not only does it include an important analysis of the history of school algebra, but it also adopts a theoretical frame which relies more on 'theories from the past,' than on contemporary theories in the field of mathematics education. The results of the well-designed classroom intervention are sufficiently impressive that the study might havecreated and illuminated a pathway for future researchers to take. N� de r�f. du vendeur 9783319592039

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