One Task, Multiple Proportional Reasoning Strategies

Author:
Aaron Brakoniecki Mathematics Education, Boston University, Boston, MA

Search for other papers by Aaron Brakoniecki in
Current site
Google Scholar
PubMed
Close
,
Julie M. Amador Mathematics Education, University of Idaho, Coeur d’Alene, ID

Search for other papers by Julie M. Amador in
Current site
Google Scholar
PubMed
Close
, and
David M. Glassmeyer Mathematics Education, Kennesaw State University, Kennesaw, GA

Search for other papers by David M. Glassmeyer in
Current site
Google Scholar
PubMed
Close

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

  • Collapse
  • Expand
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.

    • Search Google Scholar
    • Export Citation
  • 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.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • 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.

    • Search Google Scholar
    • Export Citation
  • 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.

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

    • Search Google Scholar
    • Export Citation
  • 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.

    • Search Google Scholar
    • Export Citation
  • 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.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • 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.

    • Search Google Scholar
    • Export Citation
  • 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.

    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 2098 486 34
Full Text Views 1074 88 3
PDF Downloads 1439 187 6
EPUB Downloads 0 0 0