A Visual, Computational Object Language for Mathematics

  • Phillip Kent
Conference paper


I describe work in progress on using the computer mathematics system, Mathematica, to construct a special “object language” to be used by undergraduate mathematics learners. In this language, graphical objects have a peculiar kind of in-between existence as “visual” data structures that can be manipulated through programs. I attempt to elucidate the nature of this existence, and its possible usefulness for mathematical thinking, and learning, using the example of visualising a four-dimensional “hypercube”.


Object Language Mathematical Thinking Graphical Output Graphical Object Inscribe Circle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Wolfram S. The Mathematica book, third edition. Cambridge University Press, New York, 1996MATHGoogle Scholar
  2. 2.
    Wickham-Jones T. Mathematica graphics. Springer-Verlag, New York, 1994CrossRefMATHGoogle Scholar
  3. 3.
    Banchoff T. Beyond the third dimension: geometry, computer graphics and higher dimensions. Freeman/Scientific American Library, New York, 1990MATHGoogle Scholar
  4. 4.
    Abbott E A. Flatland: a romance of many dimensions. Dover Publications, New YorkGoogle Scholar
  5. 5.
    Dewdney, A K. The armchair universe: an exploration of computer worlds. Freeman, New York, 1988Google Scholar

Copyright information

© Springer-Verlag London 1999

Authors and Affiliations

  • Phillip Kent
    • 1
  1. 1.Mathematics DepartmentImperial CollegeLondonUK

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