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April 2005, Volume 11, Issue 8

FEATURES

Teaching without Telling: Computational Fluency and Understanding through Invention
Daniel Heuser
First- and second-grade students work in a simulated candy factory to learn to add and subtract fluently and with understanding. A goal of this project was to encourage children's inventions of numerical computational strategies. The author describes ways for classroom teachers to achieve this goal and others through the successful implementation of this project.

Getting Started with Open-Ended Assessment
Keith R. Leatham, Kathy Lawrence, Denise Mewborn
This article discusses the nature of open-ended assessment items, their benefit to student learning, and how one teacher began using such items in her fourth-grade classroom. Also included are suggestions for getting started using open-ended assessment items in the elementary classroom.

Akeem's Story: Discovering Mathematical Precociousness
Michael Bosse
The author recounts events surrounding a mathematically precocious four-year-old in a college algebra class. This story is used to demonstrate that even very young students can develop mathematical understanding well beyond anticipated educational norms when provided with appropriate and stimulating tasks and support. Learn how to stimulate mathematical thinkers at many different levels.