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Extending the Challenge in Mathematics: Developing Mathematical Promise in K-8 Students

Extending the Challenge in Mathematics: Developing Mathematical Promise in K-8 Students

          
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About the Book

"The best source I have seen challenging mathematically talented students. The activities are thought provoking and enjoyable. I will recommend this book to parents as well as educators of mathematically talented students!" Sally Reis Past President of The National Association for Gifted Children Challenge, engage, and inspire your mathematically promising students! Combining theory and practice, Sheffield expertly guides the reader through the process of mathematical talent development from identifying students with mathematical potential, to finding and creating first-rate problems for exploration and strategies for assessment. The multi-level investigations in this book are designed to challenge students and inspire deeper and more original mathematical thinking in Number and Operations, Algebra, Geometry and Measurement, and Data Analysis and Probability. Each investigation is developed in the following easy-to-follow format: Relate—sets the stage for the investigation by connecting it to prior learning and the NCTM Principles and Standards Investigate—poses the initial problem to start students thinking about the investigation Evaluate and Communicate—provides solutions, probing assessment questions, and suggestions for teacher responses Create—offers ideas for extending and deepening the investigation, allowing even the most accomplished students to add depth and complexity to their reasoning Discussion—gives teachers hints on what to look for in student solutions, as well as ideas for encouraging students to dig more deeply into the mathematical concepts that are presented Mathematically promising students have the potential to become the leaders and problem solvers of the future. Extending the Challenge in Mathematics provides the practical tips and tools educators need to help their students develop this potential to the fullest.

Table of Contents:
List of Reproducible Forms About the Author 1. Developing Mathematical Promise What Is Mathematical Promise? Who Are Mathematically Promising? What Are the Goals of Mathematics Instructions? How Might We Find and/or Create Good Problems to Explore? What Models Might We Use to Increase the Numbers and Levels of Mathematically Promising Students? How Should We Assess Success? Structure of the Activities in This Book 2. Number and Operations Investigation One: How Many Ways? Investigation Two: Same Sums Investigation Three: All in a Row 3. Algebra Investigation One: Where Am I? Investigation Two: Heads or Tails? Investigation Three: Field of Dreams 4. Geometry and Measurement Investigation One: Framed Investigation Two: Shape Up Investigation Three: Connect the Dots 5. Data Analysis and Probability Investigation One: Who′s Got the Button? Investigation Two: On Your Mark Investigation Three: Bull′s-Eye Resources References Index


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Product Details
  • ISBN-13: 9780761938514
  • Publisher: SAGE Publications Inc
  • Publisher Imprint: SAGE Publications Inc
  • Depth: 13
  • Language: English
  • Returnable: Y
  • Spine Width: 10 mm
  • Weight: 444 gr
  • ISBN-10: 0761938516
  • Publisher Date: 18 Dec 2002
  • Binding: Paperback
  • Height: 279 mm
  • No of Pages: 160
  • Series Title: English
  • Sub Title: Developing Mathematical Promise in K-8 Students
  • Width: 215 mm


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