Conditional Reasoning Online with Mastermind

As mathematical patterns become more complex, students' conditional reasoning skills need to be nurtured so that students continue to critique, construct, and persevere in making sense of these complexities. This article describes a mathematical task designed around the online version of the game Mastermind to safely foster conditional reasoning.

Footnotes

Use this game to nurture students' skills so they continue to critique, construct, and persevere in making sense of increasingly complex mathematical patterns.

Mathematics Teacher: Learning and Teaching PK-12
  • CaiJinfa and Patricia Ann Kenney. 2000. “Fostering Mathematical Thinking through Multiple Solutions.” Mathematics Teaching in the Middle School 5no. 8 (April): 53439.

    • Search Google Scholar
    • Export Citation
  • EllisAmy B. 2011. “The Proof Is in the Practice.” Mathematics Teaching in the Middle School 16no. 9 (May): 52227.

  • HarelGuershon and Larry Sowder. 2007. “Toward Comprehensive Perspectives on the Learning and Teaching of Proof.” In Second Handbook of Research on Mathematics Teaching and Learning edited by Frank K. Lester Jr. pp. 80542. Reston, VA: National Council of Teachers of Mathematics.

    • Search Google Scholar
    • Export Citation
  • KoYi-YinSean P. YeeSarah K. Bleiler-Baxter and Justin D. Boyle. 2016. “Empowering Students’ Proof Learning through Communal Engagement.” Mathematics Teacher 109no. 8 (April): 61824.

    • Search Google Scholar
    • Export Citation
  • LakatosImre. 1976. Proofs and Refutations: The Logic of Mathematical Discovery. Cambridge, UK: Cambridge University Press.

  • McFeetorsP. Janelle and Kylie Palfy. 2017. “We're in Math Class Playing Games, Not Playing Games in Math Class.” Mathematics Teaching in the Middle School 22no. 9 (May): 53444.

    • 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
  • RoschelleJeremy and Stephanie D. Teasley. 1995. “The Construction of Shared Knowledge in Collaborative Problem Solving.” In Computer Supported Collaborative Learning edited by Claire O’Malley pp. 6997. Berlin, Heidelberg: Springer. doi:10.1007/978-3-642-85098-1.

    • Search Google Scholar
    • Export Citation
  • SmithMargaret Schwan and Mary Kay Stein. 1998. “Selecting and Creating Mathematical Tasks: From Research to Practice.” Mathematics Teaching in the Middle School 3no. 5 (February): 34450.

    • Search Google Scholar
    • Export Citation
  • WankoJeffrey J. 2017. “Teaching Inductive Reasoning with Puzzles.” Mathematics Teacher 110no. 7 (March): 51419.

  • WarshauerHiroko Kawaguchi. 2015. “Productive Struggle in Middle School Mathematics Classrooms.” Journal of Mathematics Teacher Education 18no. 4 (August): 375400.

    • Search Google Scholar
    • Export Citation

Metrics

All Time Past Year Past 30 Days
Abstract Views 131 131 81
Full Text Views 88 88 77
PDF Downloads 37 37 31
EPUB Downloads 0 0 0