Using Models to Build Fraction Understanding

Author:
Debra MonsonUniversity of St. Thomas, Minneapolis

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Kathleen CramerUniversity of Minnesota

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Sue AhrendtMetropolitan State University in Denver, Colorado

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We share the impact different models have on students' fraction thinking. We have come to understand, through several teaching experiments, how fraction circles, paper folding and number lines support students' learning about key fraction ideas including the role of the unit, partitioning, and fraction order.

Footnotes

Ponder how a sequence of representations can help create an evolving comprehension of unit, partitioning, and order.

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Mathematics Teacher: Learning and Teaching PK-12
  • Cramer, Kathleen. 2017. “Numerical Reasoning: Number and Operations with Fractions.” In Reasoning and Sense Making in the Mathematics Classroom, Grades 3–5, edited by Michael Battista, pp. 4366. Reston, VA: National Council of Teachers of Mathematics.

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  • Cramer, Kathleen, Sue Ahrendt, Debra Monson, Terry Wyberg, and Karen Colum. 2017. “Fractions, Number Lines, and Third Graders.” Teaching Children Mathematics 24, no. 3 (November): 19099.

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  • Cramer, Kathleen, Debra Monson, Stephanie Whitney, Seth Leavitt, and Terry Wyberg. 2010. “Dividing Fractions and Problem Solving.” Mathematics Teaching in the Middle School 15, no. 6 (February): 33946.

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  • Shaughnessy, Megan. 2011. “Identify Fractions and Decimals on a Number Line.” Teaching Children Mathematics 17, no. 7 (March): 42834.

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  • Wyberg, Terry, Stephanie Whitney, Kathleen Cramer, Debra Monson, and Seth Leavitt. 2011. “Unfolding Fraction Multiplication.” Mathematics Teaching in the Middle School 17, no. 5 (December): 28894.

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