UC SPARK - University of Canterbury - New Zealand

Dr John Hannah

Mathematics and Statistics


Phone: +64 3 364 2987 ext. 7685

Fields of Research

  • History of mathematics
  • Mathematics education
  • Linear algebra
  • Abstract algebra

Researcher Summary

Research interests include abstract and linear algebra, mathematics education and the history of mathematics.

Subject Area: Disciplines

Research/Scholarly/Creative Works

Journal Articles
  • Bajri S., Hannah J. and Montelle C. (2015) Revisiting Al-Samaw'al's table of binomial coefficients: Greek inspiration, diagrammatic reasoning and mathematical induction. Archive for History of Exact Sciences 69(6): 537-576. http://dx.doi.org/10.1007/s00407-015-0156-x.
  • Hannah J., James A. and Williams P. (2014) Does computer-aided formative assessment improve learning outcomes? International Journal of Mathematics Education in Science and Technology 45(2): 269-281. http://dx.doi.org/10.1080/0020739X.2013.822583.
  • Hannah J., Stewart S. and Thomas MOJ. (2013) Emphasising language and visualization in teaching linear algebra. International Journal of Mathematical Education in Science and Technology 44(4): 475-489. http://dx.doi.org/10.1080/0020739X.2012.756545.
  • Hannah J., Stewart S. and Thomas M. (2011) Analysing lecturer practice: The role of orientations and goals. International Journal of Mathematical Education in Science and Technology 42(7): 975-984. http://dx.doi.org/10.1080/0020739X.2011.610008.
  • James A., Montelle C., Nokes J. and Hannah J. (2011) Meeting the needs of our best and brightest: Curriculum acceleration in tertiary mathematics. International Journal Of Mathematical Education in Science and Technology 42(3): 299-312. http://dx.doi.org/10.1080/0020739X.2010.543158.
  • Plank MJ., James A. and Hannah J. (2011) Group by subject or by ability? Tertiary mathematics for engineering students. International Journal of Mathematics Education in Science and Technology 42(7): 857-865. http://dx.doi.org/10.1080/0020739X.2011.609284.
  • Stewart S., Thomas MOJ. and Hannah J. (2005) Toward student instrumentation of computer-based algebra systems in university courses. International Journal of Mathematical Education in Science and Technology 36(7): 741-749.
  • Hannah J. (2000) Visual confusion in permutation representations. CBMS Issues in Math. CBMS Issues in Math Education 8: 188-209.
  • Hannah J. (1999) Problem solving: discovering ancient mathematics. Canterbury Mathematical Association Newsletter (December): 3-9.
  • Hannah J. (1997) A context for introducing vector spaces. International Journal of Mathematical Education in Science and Technology 28: 893-902.
Conference Contributions - Published
  • Hannah J., Stewart S. and Thomas MOJ. (2015) Linear algebra in the three worlds of mathematical thinking: The effect of permuting worlds on students' performance. Pittsburgh, PA, USA: 18th Annual Conference on Research in Undergraduate Mathematics Education (CRUME2015), 19-21 Feb 2015. In CRUME2015 Proceedings: 6pp.
  • Hannah J., Stewart S. and Thomas MOJ. (2013) Conflicting goals and decision making: the deliberations of a new lecturer. Kiel, Germany: 37th Conference of the International Group for the Psychology of Mathematics Education (PME 37), 28 Jul-2 Aug 2013. In Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education 2: 425-432. http://www.lulu.com/content/paperback-buch/pme37-proceedings---volume-2/13962816.
  • Hannah J. (2009) The language of linear algebra. Gordons Bay, South Africa: Southern Right Delta Conference (ΣΡΔ'09) on the Teaching and Learning of Undergraduate Mathematics and Statistics, 29 Nov-4 Dec 2009. In Proceedings of Gordon's Bay Delta '09: 97-105.
Conference Contributions - Other
  • Hannah J., Stewart S. and Thomas MOJ. (2012) Student reactions to an approach to linear algebra emphasising embodiment and language. Seoul, Korea: 12th International Congress on Mathematical Education (ICME-12), 8-15 Jul 2012
  • Hannah J. (2010) Reflecting on teaching linear algebra. Dunedin, New Zealand: 2010 New Zealand Mathematical Society Colloquium, 7-9 Dec 2010
  • Hannah J., James AF., Montelle C. and Nokes J. (2009) Meeting the needs of gifted students: acceleration in tertiary mathematics. Gordons Bay, South Africa: Southern Right Delta Conference (ΣΡΔ'09) on the Teaching and Learning of Undergraduate Mathematics and Statistics, 30 Nov-4 Dec 2009
  • Hannah J. (2008) Rules of engagement: conventions for medieval recreational problems. Christchurch, New Zealand: Joint meeting of NZ and Australian Mathematical Societies, 8-12 Dec 2008
  • Hannah J. (2007) Limits of Solvability: Unsolvable problems in Fibonacci's Liber Abbaci. Victoria University of Wellington, New Zealand: 1st Joint International Meeting between the American Mathematical Society and the New Zealand Mathematical Society (AMS-NZMS 2007), 12-15 Dec 2007
  • Hannah J. (2006) Fibonacci as a model mathematics teacher. Hamilton, New Zealand: 2006 New Zealand Mathematics Colloquium (NZMC2006), 4-6 Dec 2006
  • Hannah J. (2004) Formulas in Fibonacci's Liber Abaci. Dunedin, New Zealand: New Zealand Mathematical Society Colloquium, 6 Dec 2004
  • Hannah J. (2003) Maple labs: calculus from all angles. Queenstown, New Zealand: 4th Southern Hemisphere Symposium on Undergraduate Maths and Stats Teaching and Learning, 23 Nov 2003
  • Hannah J. (2002) MAPLE labs for advanced calculus and differential equations. Auckland, New Zealand: New Zealand Mathematical Society Colloquium, 1 Dec 2002
Other
  • Hannah J. (2012) Keith Devlin, The Man of Numbers: Fibonacci's Arithmetic Revolution. New York: Walker & Co., 2011. Notices of the American Mathematical Society 59(5): 661-664. http://dx.doi.org/10.1090/noti844. [Book Review].
  • Hannah J. (2010) Review of 'Mathematics in India by Kim Plofker. Princeton/Oxford: Princeton University Press, 2009. Aestimatio: Critical Reviews in the History of Science 7: 44-52. [Book review].
  • Hannah J. (2001) Using Connected Curriculum Project Modules in a Differential Equations Course. Journal of Mathematical Analysis and Applications