Conventional word problems can't help students build mathematical modeling skills. on their own. But they can be leveraged! We examined how middle and high school students made sense of word problems and offer strategies to question and extend word problems to promote mathematical reasoning.

Notes

Use questions and extensions to promote mathematical reasoning and help middle and high school students build mathematical modeling skills.

Mathematics Teacher: Learning and Teaching PK-12
Cover Mathematics Teacher: Learning and Teaching PK-12

  • Blum, Werner, and Dominik Leiss. 2007. “How do Students and Teachers Deal with Modelling Problems?” Mathematical Modelling: Education, Engineering, and Economics–ICTMA 12 (proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications), edited by Christopher Haines, Peter Galbraith, Werner Blum, and Sanowar Khan, pp. 222–31. Chichester, UK: Horwood Publishing. https://doi.org/10.1533/9780857099419.5.221.

    • Crossref
    • Search Google Scholar
    • Export Citation

  • Czocher, Jennifer A. 2016. “Introducing Modeling Transition Diagrams as a Tool to Connect Mathematical Modeling to Mathematical Thinking.” Mathematical Thinking and Learning 18, no. 2 (April 12): 77–106. https://doi.org/10.1080/10986065.2016.1148530.

    • Crossref
    • Search Google Scholar
    • Export Citation

  • Moss, Diana L., Jennifer A. Czocher, and Teruni Lamberg. 2018. “Frustrations with Understanding Variables Is Natural.” Mathematics Teaching in the Middle School 24, no. 1 (September): 10–17.

    • Crossref
    • Search Google Scholar
    • Export Citation

  • 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.

    • Search Google Scholar
    • Export Citation

  • Verschaffel, Lieven, Brian Greer, and Eric de Corte. 2000. Making Sense of Word Problems. Lisse, Netherlands: Taylor and Francis.

  • Yeo, Joseph B. W. 2007. “Mathematical Tasks: Clarification, Classification and Choice of Suitable Tasks for Different Types of Learning and Assessment” (Technical Report ME2007-01, July 2007). National Institute of Education, Nanyang Technological University, Singapore.

    • Search Google Scholar
    • Export Citation

  • Zbiek, Rose Mary, and Annamarie Conner. 2006. “Beyond Motivation: Exploring Mathematical Modeling as a Context for Deepening Students’ Understandings of Curricular Mathematics.” Educational Studies in Mathematics 63, no. 1 (May): 89–112.

    • Crossref
    • Search Google Scholar
    • Export Citation
Copyright:
© 2020 by National Council of Teachers of Mathematics, Inc.
Page Count:
7
Article Category:
Research Article
Received:
22 Feb 2019
Accepted:
29 Sep 2019
Print Publication Date:
01 May 2020
Online Publication Date:
May 2020
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 0 0 0
PDF Downloads 0 0 0
EPUB Downloads 0 0 0