One Task, Multiple Proportional Reasoning Strategies

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  • 1 Mathematics Education, Boston University, Boston, MA
  • 2 Mathematics Education, University of Idaho, Coeur d’Alene, ID
  • 3 Mathematics Education, Kennesaw State University, Kennesaw, GA

Tasks and materials that allow for different approaches can help teachers incorporate student reasoning and can promote connections across different mathematical ideas.

Supplementary Materials

    • OJ Geogebra Export (Data File 34.0 KB)

App 1

Mathematics Teacher: Learning and Teaching PK-12
  • Boston, Melissa, Frederick Dillon, Margaret Smith , and Stephen Miller . 2017. Taking Action: Implementing Effective Mathematics Teaching Practices in Grades 9–12. Reston, VA: National Council of Teachers of Mathematics.

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  • Fisher, Linda C. 1988. “Strategies Used by Secondary Mathematics Teachers to Solve Proportion Problems.” Journal for Research in Mathematics Education 19, no. 2 (March): 15768.

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  • Lamon, Susan. 2007. “Rational Numbers and Proportional Reasoning: Toward a Theoretical Framework for Research.” In Second Handbook of Research on Mathematics Teaching and Learning, edited by Frank K. Lester Jr., pp. 62967. Charlotte, NC: Information Age Publishing.

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  • Lappan, Glenda, James T. Fey, William M. Fitzgerald, Susan N. Friel , and Elizabeth Difanis Phillips . 2009. Connected Mathematics: Comparing and Scaling. East Lansing, MI: Pearson Education.

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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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  • Nikula, Johannah. 2010. “Secondary School Students’ Proportional Reasoning.” In Teaching and Learning Mathematics: Translating Research for Secondary School Teachers, edited by Joanne Lobato , pp. 16. Reston, VA: National Council of Teachers of Mathematics.

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  • Silver, Edward A., Hala Ghousseini, Dana Gosen, Charalambos Y. Charalambous , and Beatriz T. Font Strawhun . 2005. “Moving from Rhetoric to Practice: Issues Faced by Teachers in Having Students Consider Multiple Solutions for Problems in the Mathematics Classroom.” The Journal of Mathematical Behavior 24, no. 3-4: 287301.

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  • Smith, Margaret S., Michael D. Steele , and Mary Lynn Raith . 2017. Taking Action: Implementing Effective Mathematics Teaching Practices in Grades 6–8. Reston, VA: National Council of Teachers of Mathematics.

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  • Tarr, James E., Robert E. Reys, Barbara J. Reys, Óscar Chávez, Jeffrey Shih , and Steven J. Osterlind . 2008. “The Impact of Middle-Grades Mathematics Curricula and the Classroom Learning Environment on Student Achievement.” Journal for Research in Mathematics Education 39, no. 3 (May): 24780.

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