Main,
Selected Publications on Proof,
Annotated Bibliography for Proof in Mathematics Education,
Annotated Bibliography for Philosophical Aspects of Proof
Selected Recent Publications (Also see Selected Publications on Proof)
Hanna, G. (2003). Journals of Mathematics Education, 1900-2000. In Coray, D., & Furringhetti, F. One Hundred Years of L’Enseignement Mathématique : Moments of Mathematics Education in the 20th Century. Geneva: L’Enseignement Mathématique, pp. 67-84.
Hanna, G. (2003). Reaching Gender Equity in Mathematics Education. The Educational Forum, 67(3), 204-214.
Hanna, G., & Sidoli, N. (2002). The story of ESM. Educational Studies in Mathematics, 50 (2), 123-156.
Hanna, G. (2000). Declining gender differences from FIMS to TIMSS. Zentralblatt für Didaktik der Mathematik, International reviews on mathematical education, 00/1, 11-17.
Hanna, G. (Ed.), (1996). Towards Gender Equity in Mathematics Education. Dordrecht: Kluwer Academic Publishers.
Grevholm, B., & Hanna, G. (Eds.), (1995). Gender and Mathematics Education: An ICMI Study. Lund: University of Lund.
Hanna, G. (1995). Challenges to the Importance of Proof. For the Learning of Mathematics, 15(3), 42-50.
Hanna, G. (1994). Cross-Cultural Gender Differences in Mathematics Achievement. International Journal of Educational Research, 21(4), 417-426.
Hanna, G. (1994, March). Some Pedagogical Aspects of Proof. Alon Lemoreh ha Mathematika. 7-12.
Hanna, G., with Dörfler, W., & Streefland, L. (Eds.), (1993). Educational Studies in Mathematics, 24 (4,5, 6).
Hanna, G., with Dörfler, W., & Streefland, L. (Eds.), (1994). Educational Studies in Mathematics, 24 (1,2,3,4).
Hanna, G. & Fast, G. R. (1994). High School Students' Probability Concepts: Using Analogies to Overcome Misconceptions. Report submitted to the Social Sciences and Humanities Research Council.
Hanna, G., & Harrison, P. (1993). Fractals in the Secondary School Curriculum. In: J. de Lange et al. (Eds.), Innovation in math education by modeling and applications. New York: Ellis Horwood. pp. 103-117
Hanna, G., & Jahnke, H. N. (Eds.), (1993). Aspects of Proofs [Special issue]. Educational Studies in Mathematics, 24(4).
Hanna, G., & Jahnke, H. N. (1993). Proof and Application. Educational Studies in Mathematics, 24(4), 421-438.
Selected Publications on Proof (Also see Selected Recent Publications)
Hanna, G., Jahnke, H. N., & Pulte, H. (Eds.). (2010). Explanation and proof in mathematics: Philosophical and educational perspectives. New York: Springer.
Fou-Lai Lin, Feng-Jui Hsieh, Gila Hanna, Michael de Villiers (Eds.) (2009). Proceedings of the ICMI Study 19 conference: Proof and Proving in Mathematics Education. Vols. I & II. The Department of Mathematics, National Taiwan Normal University, Taipei, Taiwan. Vol I Vol II
Hanna, G., & Barbeau, E. (2008). Proofs as bearers of mathematical knowledge. ZDM. The International Journal on Mathematics Education, 40(3), 345-353.
Hanna, G. (2007). The ongoing value of proof. In Boero, P. (Ed.), Theorems in schools: From History, Epistemology and Cognition to Classroom Practice. Rotterdam: Sense Publishers, pp 3-18.
Hanna, G., & Sidoli, N. (2007). Visualization and proof: a brief survey of philosophical perspectives. ZDM. The International Journal on Mathematics Education, 39(1-2), 73-78.
Hanna, G. (2006). Review of Mancosu, P., Jørgensen, K.F. and Pedersen, S.A. (Eds.), (2005). Visualization, Explanation and Reasoning Styles in Mathematics. Series: Synthese Library, Vol. 327. Canadian Journal of Science, Mathematics and Technology Education, 6(2), 201-205.
Hanna, G. (2005). A brief overview of proof, explanation, exploration and modelling. In Henn, H.W., & Kaiser, G. (Eds.), Mathematikunterricht im Spannungsfeld von Evolution und Evaluation. Berlin, Verlag Franzbecker, pp. 139-151.
Hanna, G., & Jahnke, H. N. (2004).Proving and Modelling. In H.-W. Henn, & W. Blum (Eds.), ICMI Study 14: Applications and Modelling in Mathematics Education, Pre-Conference Volume, Dortmund, Germany,109 – 114.
Hanna, G., DeBryun, Y., Sidoli, N., & Lomas, D. (2004). Teaching proof in the context of physics. International reviews on mathematical education, ZDM, 36(3), 82-90.
Hanna, G., & Jahnke, H. N. (2003). Using ideas from physics in teaching mathematical proof. In: Ye, Q., Blum, W., Houston, S. K., & Jiang, Q. (Eds.), Mathematical modeling in education and culture: ICTMA 10. Chichester, U.K.: Horwood Publishing, pp. 31- 41.
Yackel, E., & Hanna, G. (2003). Reasoning and proof. In J. Kilpatrick, W. G. Martin, & D. E. Schifter (Eds.), A Research Companion to Principles and Standards for School Mathematics. Reston, VA: National Council of Teachers of Mathematics. pp. 227-236.
Hanna, G., & Jahnke, H. N. (2002). Arguments from physics in mathematical proofs: An educational perspective. For the learning of mathematics, 22 (3), 38-45.
Hanna, G., & Barbeau, E. (2002). What is proof? In Baigrie, B. (Ed.), History of Modern Science and Mathematics. (4 volumes). New York: Charles Scribner's Sons, Vol. 1, 36-48.
Hanna, G., & Jahnke, H. N. (2002). Another approach to proof: Arguments from physics. International reviews on mathematical education, ZDM, 1/02, 1-8.
Hanna, G., Jahnke, H. N., DeBruyn, Y., & Lomas, D. (2001). Teaching mathematical proofs that rely on ideas from physics. Canadian Journal of Science, Mathematics and Technology Education, 1(2), 183-192.
Hanna, G. (2000). Proof, explanation and exploration: An overview. Educational Studies in Mathematics, Special issue on "Proof in Dynamic Geometry Environments", 44 (1-2), 5-23. Copyright 2001.
Hanna, G. (2000). A critical examination of three factors in the decline of proof. Interchange, 31(1), 21-33.
Hanna, G., & Jahnke, H.N. (1999). Using Arguments from Physics to Promote Understanding of Mathematical Proofs. Proceedings of PME23. (Also in PDF.)
Hanna, G., & De Bruyn, Y. (1999). Opportunity to Learn Proof in Ontario Grade Twelve Mathematics Texts. Ontario Mathematics Gazette, 37 (4), 23-29.
Hanna, G. (1998). Proof as Explanation in Geometry. Focus on Learning Problems in Mathematics, 20 (2 & 3), 4-13.
Hanna, G. (1998). Review of Proof and Progress in Mathematics. Educational Studies in Mathematics, 36(2),197-200.
Hanna, G. (1997). The Ongoing Value of Proof. Journal der Mathematik-Didaktik, 2/3, 171-185.
Hanna, G., & Jahnke, H. N. (1996). Proof and Proving. In Bishop, A., et al. (Eds.), International Handbook of Mathematics Education, Dordrecht: Kluwer Academic Publishers.
Hanna, G. (1996). The Ongoing Value of Proof. Proceedings of the International Group for the Psychology of Mathematics Education, Valencia, Spain, Vol I.
Hanna, G. (1996). The Role of Proof in Mathematics Education. Joetsu Journal of Mathematics Education, 11,155-168. (In Japanese)
Hanna, G. (1995). The Role of Proof in Mathematics Education. Vortrage auf der 29. Bundestagung for Didaktik der Mathematik, Kassel, Germany.
Hanna, G. (1995). Challenges to the Importance of Proof. For the Learning of Mathematics, 15 (3), 42-50.
Hanna, G. (1995). Review of M. Detlefsen (Ed.), Proof and Knowledge in Mathematics. Educational Studies in Mathematics, 28 (1), 87-90.
Hanna, G. (1994). Aspects of Proof. Alon Lemoreh ha Mathematika. 7-12. (In Hebrew.)
Hanna, G., & Jahnke, H. N. (1993). Proof and Application. Educational Studies in Mathematics, 24 (4), 421-438.
Hanna, G. (1991). Mathematical Proof. In: D. Tall (Ed.), Advanced Mathematical Thinking, Kluwer, Dordrecht.
Hanna, G. (1990). Some Pedagogical Aspects of Proof. Interchange, 21 (1), 6-13.
Hanna, G. (1989). Proofs That Prove and Proofs That Explain. In: G. Vergnaud, J. Rogalski, & M. Artigue (Eds.), Proceedings of the International Group for the Psychology of Mathematics Education, Paris, Vol II, pp. 45-51.
Hanna, G. (1989). More Than Formal Proof. For the Learning of Mathematics, 9 (1), 20-25.
Hanna, G. (1983). Rigorous Proof in Mathematics Education. OISE Press, Toronto.