Working paper Open Access

Education, division & derivative: Putting a Sky above a Field or a Meadow

Colignatus, Thomas

The sky is a tentative suggestion for extension group theory, that has supervariables with flexible domains, that would allow the formulation of dynamic rational functions, such that division by zero is prevented by manipulation of the domain. This would allow an algebraic approach to the derivative. Meadows are no alternative to such an approach. The world needs Academic Schools in which teaching is merged with empirical research on didactics.

See 10.5281/zenodo.292247 "A potential relation between the algebraic approach to calculus and rational functions", February 2017, for an improved understanding of the notion of "rational function". This new paper on rational functions seems to require an edit of the paper on the "sky".
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