Mathematics Education in the Digital Era

Computational Experiment Approach to Advanced Secondary Mathematics Curriculum

Authors: Abramovich, Sergei

  • Extents the notion of experimental mathematics to include pre-college curriculum
  • Introduces a pedagogy of computer experimentation with mathematical models depending on parameters
  • Provides teacher candidates with research-like experience in mathematics and its pedagogy
  • Presents modeling activities in both technology-enabled and technology-immune approach
  • Presents original examples of experimental mathematics pedagogy
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eBook $99.00
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  • ISBN 978-94-017-8622-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-94-017-8621-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 10, 2016
  • ISBN 978-94-024-0166-0
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
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About this book

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.

Reviews

“This is a comprehensive, well-written, and meticulously organized text on computing technology for secondary mathematics teacher education.” (Steven C. Althoen, zbMATH 1295.97001, 2014)


Table of contents (8 chapters)

  • Theoretical Foundations of Computational Experiment Approach to Secondary Mathematics

    Abramovich, Sergei

    Pages 1-23

  • One-Variable Equations and Inequalities: The Unity of Computational Experiment and Formal Demonstration

    Abramovich, Sergei

    Pages 25-62

  • Computationally Supported Study of Quadratic Functions Depending on Parameters

    Abramovich, Sergei

    Pages 63-113

  • Computational Experiment Approach to Equations with Parameters

    Abramovich, Sergei

    Pages 115-163

  • Inequalities with Parameters as Generators of New Meanings

    Abramovich, Sergei

    Pages 165-205

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-94-017-8622-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-94-017-8621-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 10, 2016
  • ISBN 978-94-024-0166-0
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Computational Experiment Approach to Advanced Secondary Mathematics Curriculum
Authors
Series Title
Mathematics Education in the Digital Era
Series Volume
3
Copyright
2014
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-8622-5
DOI
10.1007/978-94-017-8622-5
Hardcover ISBN
978-94-017-8621-8
Softcover ISBN
978-94-024-0166-0
Series ISSN
2211-8136
Edition Number
1
Number of Pages
XV, 325
Number of Illustrations and Tables
252 b/w illustrations
Topics