High School Students’ Understanding of Proof

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  • 1 One Stone High School, Boise, Idaho
  • | 2 Boise State University, Boise, Idaho

Challenging to learn, proof can be equally challenging to teach. Insights gleaned about students’ conceptions of proof from 10 high school students who completed four proof-related tasks during one-on-one interviews led to a few instructional takeaways for teachers.

Mathematics Teacher: Learning and Teaching PK-12
  • Crowley, Mary L. 1987. “The van Hiele Model of the Development of Geometric Thought." In Learning and Teaching Geometry, K–12, edited by Mary M. Lindquist, pp. 116. Reston, VA: National Council of Teachers of Mathematics.

    • Search Google Scholar
    • Export Citation
  • Ellis, Amy B., Kristen N. Bieda, and Eric J. Knuth. 2012. Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9–12. Reston, VA: National Council of Teachers of Mathematics.

    • Search Google Scholar
    • Export Citation
  • Kinzel, Margaret T., and Laurie O. Cavey. 2017. “The Role of Examples in Teaching." Mathematics Teacher 111, no. 2 (October): 14043.

  • Knuth, Eric J., Jeffrey M. Choppin, and Kristen N. Bieda. 2009. “Proof: Examples and Beyond." Mathematics Teaching in the Middle School 15, no. 4 (November): 20611.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Mason, John, and David Pimm. 1984. “Generic Examples: Seeing the General in the Particular." Educational Studies in Mathematics 15, no. 3 (August): 27789.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Soucy McCrone, Sharon M., and Tami S. Martin. 2009. “Chapter 12: Formal Proof in High School Geometry." In Teaching and Learning Proof across the Grades: A K–16 Perspective, edited by Despina A. Stylianou, Maria L. Blanton, and Eric J. Knuth. New York: Routledge.

    • Search Google Scholar
    • Export Citation
  • Stylianides, Andreas J. 2007. “Proof and Proving in School Mathematics." Journal for Research in Mathematics Education 38, no. 3 (May): 289321.

    • Search Google Scholar
    • Export Citation
  • Stylianou, Despina A., Maria L. Blanton, and Ourania Rotou. 2015. “Undergraduate Students’ Understanding of Proof: Relationships between Proof Conceptions, Beliefs, and Classroom Experiences with Learning Proof." International Journal of Research in Undergraduate Mathematics Education 1, no. 1: 91134.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Van Hiele, Pierre M. 1984. “The Child’s Thought and Geometry." In English Translation of Selected Writings of Dina van Hiele-Geldof and Pierre M. van Hiele, edited by David Fuys, Dorothy Geddes, and Rosamond Welchman Tishler, pp. 24352. Brooklyn, NY: City University of New York. ERIC/SMEAC.

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    • Export Citation
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