Stacking the Deck: Reversibility and Reasoning

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  • 1 Bellarmine University, Louisville, Kentucky
  • 2 University of Central Florida, Orlando
  • 3 University of Hawai'i

To promote reversibility and strengthen number sense, we created an engaging and novel rational number exploration, which promoted flexible and reflective thinking. A class of fifth-grade students took an active role in a collaborative learning task, discussed their strategies, revisited the task, and reflected on their self-constructed generalizations.

Footnotes

The Quotient Quandary Reversibility task has the potential to build fifth graders' flexibility and critical thinking.

Mathematics Teacher: Learning and Teaching PK-12
  • Dougherty, Barbara, Diane Pedrotty Bryant, Brian R. Bryant, Rebecca L. Darrough, and Kathleen Hughes Pfannenstiel. 2015. “Developing Concepts and Generalizations to Build Algebraic Thinking: The Reversibility, Flexibility, and Generalization Approach.” Intervention in School and Clinic 50, no. 5 (May): 27381.

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  • National Council of Teachers of Mathematics (NCTM). 2014. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA: NCTM.

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  • National Governors Association Center for Best Practices (NGA Center) and Council of Chief State School Officers (CCSSO). 2010. Common Core State Standards for Mathematics. Washington, DC: NGA Center and CCSSO. http://www.corestandards.org.

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