Results 201 to 210 of about 450,579 (285)

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
openaire   +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
openalex   +3 more sources

Formal Representation of Mathematics in a Dependently Typed Set Theory

open access: closed, 2007
We have formalized material from an introductory real analysis textbook in the proof assistant Scunak. Scunak is a system based on set theory encoded in a dependent type theory. We use the formalized material to illustrate some interesting aspects of the relationship between informal presentations of mathematics and their formal representation.
Feryal Fulya Horozal, Chad E. Brown
openalex   +3 more sources

Mathematical Representations of Development Theories [PDF]

open access: possible, 1979
In this chapter we explore the consequences of particular stage linkage structures for the evolution of a population. We first argue the importance of constructing dynamic models of development theories and show the implications of various stage connections for population movements.
Burton H. Singer, Seymour Spilerman
openaire   +1 more source

ChatGPT and Semiotic Representation Theory: Innovating the Measurement of Cognitive Demand in Mathematical Tasks

open access: closed
Determining the level of cognitive demand in school tasks is a significant challenge, marked by the lack of consensus among evaluators when assigning cognitive complexity in different areas of knowledge. In view of this problem, we propose a methodology based on the Theory of Registers of Semiotic Representation to guide the assignment of cognitive ...
Eduardo Puraivan   +6 more
openalex   +3 more sources

Complex Semisimple Quantum Groups and Representation Theory

Lecture notes in mathematics, 2017
This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups.
Christian Voigt, R. Yuncken
semanticscholar   +1 more source

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