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

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Overview

This guide provides the practical tips and tools educators need to help their mathematically promising students develop their potential to the fullest.

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Editorial Reviews

Sally Reis
"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! "
Valsa Koshy
"This is a distinctive book deserving to be in the vanguard of provision for mathematically promising pupils. Equally accessible to teachers and mathematics educators, this book offers ideas and step-by-step procedures on how to use them. The content is guided by enlightened principles emanating from substantial, well-informed experience of the author. A unique resource indeed. "
Katherine Gavin
"It is an excellent 'how-to' book for teachers that will help them ratchet up a seemingly simple math concept to stimulate critical and creative thinking in talented students. I find this book combines the best of mathematics content as outlined by the National Council of Teachers of Mathematics with the best of gifted education instructional strategies. It should be on the shelf of every elementary math teacher! "
Alice Gabbard

"Sheffield has successfully packaged her exciting, unique vision for teaching all students as if they have the potential to become mathematically gifted. This easy-to-use resource includes compelling mathematical activities in a simple format for encouraging deep thinking and mathematical creativity. Extending the Challenge in Mathematics has it all—brain research theory, models for creative thinking, blackline masters with open-ended problems at graduated levels of difficulty for all four mathematical strands, in-depth discussion of solutions and extensions, and a very extensive list of Internet resources. Finally—a realistic, concrete guide for teaching challenging reform mathematics. Any math teacher could undoubtedly use it right away!"

Joyce Van Tassel-Baska
"I would recommend this book highly to anyone working with mathematics instruction for the gifted. It's an outstanding resource."
Mathematics Teaching in the Middle School
"This book will make a delightful addition to any teacher's classroom tool kit."
Sally Reis
"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!"
Valsa Koshy
"This is a distinctive book deserving to be in the vanguard of provision for mathematically promising pupils. Equally accessible to teachers and mathematics educators, this book offers ideas and step-by-step procedures on how to use them. The content is guided by enlightened principles emanating from substantial, well-informed experience of the author. A unique resource indeed."
Katherine Gavin
"It is an excellent 'how-to' book for teachers that will help them ratchet up a seemingly simple math concept to stimulate critical and creative thinking in talented students. I find this book combines the best of mathematics content as outlined by the National Council of Teachers of Mathematics with the best of gifted education instructional strategies. It should be on the shelf of every elementary math teacher!"
Joyce VanTassel-Baska
"I would recommend this book highly to anyone working with mathematics instruction for the gifted. It's an outstanding resource."
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Product Details

  • ISBN-13: 9780761938514
  • Publisher: SAGE Publications
  • Publication date: 1/28/2002
  • Series: 1-Off Series
  • Edition description: New Edition
  • Pages: 160
  • Sales rank: 1,199,668
  • Product dimensions: 8.60 (w) x 10.96 (h) x 0.39 (d)

Meet the Author

Dr. Linda Sheffield is a Regents Professor of Mathematics Education at Northern Kentucky University. She received her M. Ed. and Ph.D. in Mathematics Education from the University of Texas at Austin and her bachelor's degree from Iowa State University. She has written numerous books and articles for both teachers and students and has conducted seminars for teachers across the United States and as far away as Spain, Germany, England, Sicily, Japan, Australia, China, and Hungary. Her books include Pre K – 2 NCTM Navigations series, a series of math problem solving books for children in third through eighth grade, an integrated math/science book for teachers of preschool through primary school children, and a math methods book for elementary and middle school teachers. She is past-president of the School Science and Mathematics Association (SSMA) and was chair of the Task Force on Promising Students for the National Council of Teachers of Mathematics (NCTM). She was also editor of the NCTM book, Developing Mathematically Promising Students. Dr. Sheffield directs the graduate program for teachers of the gifted at Northern Kentucky University and has conducted several grant-funded programs designed to encourage teachers and students in the areas of mathematics and science.

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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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