Additional Resources: Research Articles, Chapter 4
Behrend, Jean L. "Are Rules Interfering with Children’s Mathematical Understanding?" Teaching Children Mathematics 8 (September 2001): 36-40. Presents examples confronting students’ misconceptions and exploring mathematical relationships and principles.
Caliandro, Christine Koller. "Children’s Inventions for Multidigit Multiplication and Division." Teaching Children Mathematics 6 (February 2000): 420-424, 426. Presents samples of strategies invented by students.
Lang, Fraces Kuwahara. "What Is a ‘Good Guess,’ Anyway? Estimation in Early Childhood." Teaching Children Mathematics 7 (April 2001): 462-466. Presents strategies for building students’ understanding of what constitutes a reasonable estimate of quantity or measurement.
Perry, Betty K. "Patterns for Giving Change and Using Mental Mathematics." Teaching Children Mathematics 7 (December 2000): 196-199. Presents a pattern-based approach using an adapted version of the hundred chart.
Randolph, Tamela D., and Helene J. Sherman. "Alternative Algorithms: Increasing Options, Reducing Errors." Teaching Children Mathematics 7 (April 2001): 480-484. Presents examples of algorithms that facilitate students’ conceptual and skill development.
Reys, Barbara J., and Fran Arbaugh. "Clearing up the Confusion over Calculator Use in Grades K-5." Teaching Children Mathematics 8 (October 2001): 90-94. Discusses the effective and efficient use of computing tools in elementary school classrooms.
Rubenstein, Rheta N. "Mental Mathematics beyond the Middle School: Why? What? How?" Mathematics Teacher 94 (September 2001): 442-446. Shares rationale, sample objectives, and teaching ideas.
Simonsen, Linda M., and Anne R. Teppo. "Using Alternative Algorithms with Preservice Teachers." Teaching Children Mathematics 5 (May 1999): 516-519. Presents a set of tasks using a child’s invented strategy and a non-standard algorithm.
Thompson, Anthony D., and Stephen L. Sproule. "Deciding When to Use Calculators." Mathematics Teaching in the Middle School 6 (October 2000): 126-129. Provides a framework to help teachers decide when to use calculators with their students.