, Volume 45, Issue 3, pp 497–499 | Cite as

Reid, D.A. and Knipping, C.: Proof in mathematics education: research, learning, and teaching

2010, Rotterdam, Boston, Taipei, Sense Publishers, 251 pp
  • Guershon Harel
  • Evan Fuller
Book Review

In Proof in Mathematics Education, Reid and Knipping attempt to provide a comprehensive review of important perspectives and research on proof. The book “is intended to help teachers, researchers, and students to overcome the difficulty of getting an overview of research on proof and proving” (p. xiii). We were excited by this undertaking and found the book to contain many useful contributions. It is a great step toward furthering the research on proof within mathematics education.

Other sources have attempted to bring together work on proof, but in different ways. Teaching and Learning Proof across the Grades: A K-16 Perspective collected together some innovate work on various issues concerning proof at different grade levels, but it was a sampling of different strands of research. The more recent Proof and Proving in Mathematics Education: the 19th ICMI Study (Hanna & de Villiers, 2012) brings together a variety of viewpoints on issues such as (1) the potential role of proving in...


  1. Balacheff, N. (2008). The role of researcher’s epistemology in mathematics education: An essay on the case of proof. ZDM The International Journal on Mathematics Education, 40, 501–512.CrossRefGoogle Scholar
  2. Duval, R. (1991). Structure du raisonnement deductif et apprentissage de la demonstration. Educational Studies in Mathematics, 22(3), 233–261.CrossRefGoogle Scholar
  3. Hanna, G. (1990). Some pedagogical aspects of proof. Interchange, 21(1), 6–13.CrossRefGoogle Scholar
  4. Hanna, G., & de Villiers, M. (Eds.). (2012). Proof and proving in mathematics education: The 19th ICMI Study. Dordrecht: Springer.Google Scholar
  5. Harel, G. (2013). Intellectual need. In K. Leatham (Ed.), Vital direction for mathematics education research. New York: Springer (in press).Google Scholar
  6. Harel, G., & Sowder, L. (2007). Toward comprehensive perspectives on the learning and teaching of proof. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 805–842). Reston, VA: National Council of Teachers of Mathematics.Google Scholar
  7. Steiner, M. (1978). Mathematical explanation. Philosophical Studies, 34, 135–151.CrossRefGoogle Scholar

Copyright information

© FIZ Karlsruhe 2013

Authors and Affiliations

  1. 1.University of CaliforniaSan DiegoUSA
  2. 2.Montclair State UniversityMontclairUSA

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