• Corpus ID: 64023096

Visualizing Higher Level Mathematical Concepts Using Computer Graphics

@inproceedings{Tall1983VisualizingHL,
  title={Visualizing Higher Level Mathematical Concepts Using Computer Graphics},
  author={David Tall and G. W. Sheath},
  year={1983}
}
The computer is going to revolutionize mathematical education, not least with its ability to calculate quickly and display moving graphics. These facilities have been utilized in interactive programs to demonstrate the ideas in differentiation and integration, evolving new dynamic concept images. Theoretical background The work described in this paper is the result of a happy accident of history. Over a number of years mathematics educators have studied the concept imagery generated by students… 
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References

SHOWING 1-7 OF 7 REFERENCES
The blancmange function: Continuous everywhere but differentiable nowhere
TLDR
The aim here is to give a refined conceptual explanation of continuity and differentiation which are formally correct and have a suitable pictorial interpretation of the blancmange function.
Concept image and concept definition in mathematics with particular reference to limits and continuity
The concept image consists of all the cognitive structure in the individual's mind that is associated with a given concept. This may not be globally coherent and may have aspects which are quite
Conflicts in the Learning of Real Numbers and Limits.
The majority of students thought that 0.999 . . . was less than one. It may be that a few students had been taught using infinitesimal concepts, or that the phrase “just less than one” had
Apprentissage de la notion de limite : modèles
  • 1981
Apprentissage de la notion de limite : modèles spontanés et modèles propres
  • Actes du Cinquième Colloque du Groupe Internationale PME
  • 1981
Conceptual difficulties for first year university students in the acquisition of the notion of limit of a function
  • Actes du Cinquieme Colloque du Groupe Internationale PME,
  • 1981
An investigation into the understanding of elementary calculus in adolescents and young adults
  • Cognitive Development Research in Science and Mathematics , University of Leeds
  • 1979