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  • Book
  • © 2017

Pedagogy and Content in Middle and High School Mathematics

Editors:

  1. G. Donald Allen

    1. Texas A&M University, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Amanda Ross

    1. A. A. Ross Consulting and Research, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • This book differs from competing titles, in that a large-view approach at all five NCTM strands is taken.
  • The book contains articles that are content-based and provide additional assistance for teachers who do not understand the material they are required to teach.
  • Many of the articles focus on “out-of-the-box” topics/ideas/presentations, real-world contexts, and student misconceptions, which add to a reference text that is non-standard and unique.

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Table of contents (62 chapters)

  1. Front Matter

    Pages i-xi
    PDF

  2. Content and Pedagogy

    1. Front Matter

      Pages 1-1
      PDF

    2. A Brief History of Zero

      • G. Donald Allen
      Pages 3-6

    3. Approximating PI

      • G. Donald Allen
      Pages 7-10

    4. The Caesar Cypher

      • G. Donald Allen
      Pages 11-12

    5. How Big is Infinity?

      • G. Donald Allen
      Pages 13-15

    6. Making Complex Arithmetic Real!

      • George Tintera
      Pages 17-19

    7. Early PI

      • G. Donald Allen
      Pages 21-23

    9. How do we define the Number “1?”

      • G. Donald Allen
      Pages 29-30

    10. Percentage Problems

      • G. Donald Allen
      Pages 31-32

    11. Microwave Math

      • G. Donald Allen
      Pages 33-35

    12. Fantasy Problems and Flying Carpet Solutions

      • G. Donald Allen
      Pages 37-40

    14. Geogebra in the Classroom

      • Diem M. Allen
      Pages 47-48

    15. Working Together

      • G. Donald Allen
      Pages 49-52

    16. A Brief Look at Circles

      • Amanda Ross
      Pages 53-56

    17. Optimization – with and Without Calculus

      • G. Donald Allen
      Pages 57-66

    18. Pythagorean Triples Plus One

      • G. Donald Allen
      Pages 67-71

    19. A Brief Look at Derivatives

      • Amanda Ross
      Pages 73-76
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About this book

The book provides an accumulation of articles, included in Focus on Mathematics Pedagogy and Content, a newsletter for teachers, published by Texas A&M University. Each article presents a discussion of a middle or high school mathematics topic. Many of the articles are written by professors at Texas A&M University. The book is broken into three parts, with the first part focusing on content and pedagogy, related to the NCTM content strands of Number, Algebra, Geometry, Measurement, and Statistics and Probability. Articles include an in-depth presentation of mathematical content, as well as suggested instructional strategies. Thus, the integration of content knowledge and pedagogical knowledge is emphasized. The second and third parts apply to assessments, mathematical games, teaching tips, and technological applications. While other pedagogical reference books may provide an in-depth look at how to teach a topic, this book includes articles that also explain a topic, in great length. Thus, teachers may develop content knowledge first and then re-read each article, in order to learn appropriate instructional strategies to use. Many articles include technological applications, which are interspersed throughout the book. In addition, a special section, which includes helpful information, available tools, training sessions, and other references, for using technology in mathematics, is also presented.
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Keywords

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Editors and Affiliations

  • Texas A&M University, USA

    G. Donald Allen

  • A. A. Ross Consulting and Research, USA

    Amanda Ross

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Bibliographic Information

  • Book Title: Pedagogy and Content in Middle and High School Mathematics

  • Editors: G. Donald Allen, Amanda Ross

  • DOI: https://doi.org/10.1007/978-94-6351-137-7

  • Publisher: SensePublishers Rotterdam

  • eBook Packages: Education, Education (R0)

  • Copyright Information: SensePublishers-Rotterdam, The Netherlands 2017

  • eBook ISBN: 978-94-6351-137-7Published: 10 November 2017

  • Edition Number: 1

  • Number of Pages: CCXCVIII, 12

  • Topics: Education, general

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Buy it now

eBook USD 37.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

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