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Book Review

We reason & we prove for ALL mathematics: Building students’ critical thinking, grades 6-12

by Fran Arbaugh, Margaret Smith, Justin Boyle, Gabriel J. Stylianides and Michael Steele, Newbury Park, CA, Corwin Press, 2019, 239 pp., $33.95 (paperback), ISBN: 978-1506378190.

References

  • Fendel, D., Resek, D., Alper, L., & Frzer, S. (1996). Interactive mathematics program year 1-Unit 2: The book of pig. Emeryville, CA: Key Curriculum Press.
  • Nardi, E., & Knuth, E. (2017). Changing classroom culture, curricula, and instruction for proof and proving: How amenable to scaling up, practicable for curricular integration, and capable of producing long-lasting effects are current interventions? Educational Studies in Mathematics, 96(2), 267–274. doi: 10.1007/s10649-017-9785-0
  • National Council of Teachers of Mathematics (NCTM). (2014). Principles to actions: Ensuring mathematical success for all. Reston, VA: Author.
  • Smith, M. S., Steele, M. D., & Raith, M. L. 2017. Taking action: Implementing effective mathematics teaching practices in grades 6-8. Reston, VA: National Council of Teachers of Mathematics.
  • Smith, M. S., & Stein, M. K. 2018. 5 practices for orchestrating productive mathematics discussions. Reston, VA: National Council of Teachers of Mathematics.
  • Stylianides, A. J. (2009). Breaking the equation “empirical argument = proof.”. Mathematics Teaching, 213, 9–14.
  • Stylianides, G. J. (2007). Proof and proving in school mathematics. Journal for Research in Mathematics Education, 38, 289–321.
  • Stylianides, G. J. (2008). An analytic framework of reasoning-and-proving. For the Learning of Mathematics, 28, 9–16.

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