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Toward a Visually-Oriented School Mathematics Curriculum: Research, Theory, Practice, and Issues (Mathematics Education Library, Band 49) - Softcover

Buch 26 von 48: Mathematics Education Library

Rivera, Ferdinand

 
9789400734708: Toward a Visually-Oriented School Mathematics Curriculum: Research, Theory, Practice, and Issues (Mathematics Education Library, Band 49)
Softcover
ISBN 10: 9400734700 ISBN 13: 9789400734708
Verlag: Springer, 2013

Inhaltsangabe

What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author’s longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author’s reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon – thatis, seeing the visual in the symbolic and the symbolic in the visual."

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Über die Autorin bzw. den Autor

Ferdie Rivera, Ph.D., is a Professor in the Department of Mathematics and Statistics and Director of the Ed.D. Educational Leadership Program at San Jose State University, USA. He conducts research in school- and university-based math cognition and, in particular, investigates issues involving mathematical knowledge construction and development among learners. His interventions follow design-based research protocols that allow for empirical engagement in continuous cycles of development, testing, and refinement on the basis of how learners interact with learning tools in both individual and collaborative learning contexts. He has published significantly in the area of structural thinking in mathematics. His current research involves the development and scaling of virtual reality apps for learning mathematics in classrooms.

Von der hinteren Coverseite

What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author’s longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author’s reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon – thatis, seeing the visual in the symbolic and the symbolic in the visual."

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Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
9400734700
ISBN 13 
9789400734708
Einband
Taschenbuch
Anzahl der Seiten
328
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Deutschland

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