Computational Experiment Approach to Advanced Secondary Mathematics Curriculum (Mathematics Education in the Digital Era, 3, Band 3) - Hardcover

Abramovich, Sergei

Hardcover

ISBN 10: 9401786216 ISBN 13: 9789401786218

Verlag: Springer, 2014

Inhaltsangabe

This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, the book addresses a call for the preparation of teachers capable of utilizing modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the whole STEM education at the secondary level. By the same token, using the book’s pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation of engineering profession.

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Über die Autorin bzw. den Autor

Sergei Abramovich, Ph.D. is Professor at the State University of New York School of Education and Professional Studies. He is author/co-author/editor of nine books and 220 articles on mathematics education, differential equations, and control theory. His service to educational community includes two founding editor-in-chief appointments (Open Mathematical Education Notes, Advances in Educational Research and Evaluation) and membership on editorial boards of another six professional journals. Michael L. Connell, Ph.D., is Professor of Mathematics Education at University of Houston-Downtown. Dr. Connell has over 35 years of mathematics education experience at both graduate and undergraduate levels working with students in field based teacher certification programs. His research interests lie at the intersection between educational technology, learning theory, and mathematics education. He has written, presented and published extensively in these areas.

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This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, this book addresses a call for the preparation of teachers capable of utilizing modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the whole STEM education at the secondary level. By the same token, using the book’s pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation of engineering profession.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2014
• Sprache: Englisch
• ISBN 10: 9401786216
• ISBN 13: 9789401786218
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 340
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland