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