Results 221 to 230 of about 1,127,134 (301)

A comprehensive theory of representation for mathematics education

The Journal of Mathematical Behavior, 1998
Representation is a difficult concept. Behaviorists wanted to get rid of it; many researchers prefer other terms like “conception” or “reasoning” or even “encoding;” and many cognitive science resarchers have tried to avoid the problem by reducing thinking to production rules.There are at least two simple and naive reasons for considering ...
Vergnaud Gérard
semanticscholar   +3 more sources

Molecular set theory: A mathematical representation for chemical reaction mechanisms

open access: closedThe Bulletin of Mathematical Biophysics, 1960
The present investigation is part of a program aimed at examining the mathematical basis of reaction rate theory (Bartholomay,Bull. Math. Biophys. 20, 1958) from the point of view of individual molecular events. Certain inconsistencies resulting from the classical procedure of using stoichiometric “chemical equations” to represent the ...
Anthony F. Bartholomay
openalex   +3 more sources

A MATHEMATICAL THEORY OF DESIGN Representation of Design Artifacts (Part I)

open access: closedInternational Journal of General Systems, 1999
Abstract This study presents a Formal General Design Theory (FGDT), a mathematical theory of design. The main goal of FGDT is to lay out a domain independent modeling of design artifacts ( ‘Part I’) and the design process ( ‘Part II’ ). We discuss issues such as: the scope of the theory with respect to real design and the guidelines it provides for ...
Oded Maimon, Dan Braha
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