Secondary Algebra Education

Paul Drijvers

Sense Publishers | 2010| 234 páginas | pdf | 5,5 Mb

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Página de Paul Drijvers: fi.uu.nl

Nowadays, algebra education is subject to worldwide scrutiny. Different opinions on its goals, approaches and achievements are at the heart of debates among teachers, educators, researchers and decision makers. What should the teaching of algebra in secondary school mathematics look like? Should it focus on procedural skills or on algebraic insight? Should it stress practice or integrate technology? Do we require formal proofs and notations, or do informal representations suffice? Is algebra in school an abstract subject, or does it take its relevance from application in (daily life) contexts? What should secondary school algebra education that prepares for higher education and professional practice in the twenty-first century look like?
This book addresses these questions, and aims to inform in-service and future teachers, mathematics educators and researchers on recent insights in the domain, and on specific topics and themes such as the historical development of algebra, the role of productive practice, and algebra in science and engineering in particular. The authors, all affiliated with the Freudenthal Institute for Science and Mathematics Education in the Netherlands, share a common philosophy, which acts as a – sometimes nearly invisible – backbone for the overall view on algebra education: the theory of realistic mathematics education. From this point of departure, different perspectives are chosen to describe the opportunities and pitfalls of today’s and tomorrow’s algebra education. Inspiring examples and reflections illustrate current practice and explore the unknown future of algebra education to appropriately meet students’ needs.

CONTENTS
Preface 3
1. Algebra education: Exploring topics and themes 5
Paul Drijvers, Aad Goddijn, Martin Kindt
2. Algebra from Ahmes to applet 27
Aad Goddijn
3. From arithmetic to algebra 69
Truus Dekker, Maarten Dolk
4. Patterns and formulas 89
Paul Drijvers, Truus Dekker, Monica Wijers
5. Restrictions in algebra 101
David Webb, Mieke Abels
6. Algebra in function 119
Michiel Doorman, Paul Drijvers
7. Principles of practice 137
Martin Kindt
8. Algebra and technology 179
Paul Drijvers, Peter Boon, Martin van Reeuwijk
9. Algebra in science and engineering 203
Henk van der Kooij, Aad Goddijn
Index 227

Pi: A Biography of the World's Most Mysterious Number

Alfred S. Posamentier, Ingmar Lehmann

Prometheus Books | 2004 | 324 páginas | Djvu | 3,4 Mb

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scribd.com

pdf - 6 Mb - link

PDF - 65 Mb
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rapidgator.net

Comentário em: MAA

In this delightful layperson's introduction to one of math's most interesting phenomena, Drs Posamentier and Lehmann review p's history from pre-biblical times to the 21st century, the many amusing and mind-boggling ways of estimating p over the centuries, quirky examples of obsessing about p (including an attempt to legislate its exact value), and useful applications of p in everyday life, including statistics.