IJIET 2012 Vol.2(3): 281-284 ISSN: 2010-3689
DOI: 10.7763/IJIET.2012.V2.130

Visualising Mathematical Knowledge and Understanding

David Nutchey

Abstract—Contemporary mathematics education attempts to instil within learners the conceptualization of mathematics as a highly organized and inter-connected set of ideas. To support this, a means to graphically represent this organization of ideas is presented which reflects the cognitive mechanisms that shape a learner’s understanding. This organisation of information may then be analysed, with the view to informing the design of mathematics instruction in face-to-face and/or computer-mediated learning environments. However, this analysis requires significant work to develop both theory and practice.

Index Terms—mathematics, reflective abstraction, graphical representation

David Nutchey is with the Queensland University of Technology – School of Mathematics, Science and Technology Education, Australia (e-mail: d.nutchey@qut.edu.au).


Cite: David Nutchey, "Visualising Mathematical Knowledge and Understanding," International Journal of Information and Education Technology vol. 2, no. 3, pp. 281-284, 2012.

General Information

  • ISSN: 2010-3689 (Online)
  • Abbreviated Title: Int. J. Inf. Educ. Technol.
  • Frequency: Monthly
  • DOI: 10.18178/IJIET
  • Editor-in-Chief: Prof. Dr. Steve Thatcher
  • Executive Editor: Ms. Nancy Y. Liu
  • Abstracting/ Indexing: Scopus (Since 2019), INSPEC (IET), EBSCO, Electronic Journals Library, Google Scholar, Crossref, etc.
  • E-mail: ijiet@ejournal.net