Concept Image And Concept Definition In Mathematics

Concept image and concept definition is an important construct in mathematics education. I will illustrate the theoretical framework with an empirical study.

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concept image and concept definition in mathematics

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Definition can differ from a formal concept definition the latter being a concept definition which is accepted by the mathematical community at large.

Concept image and concept definition in mathematics. In thinking almost always the concept image will be evoked. For each individual a concept definition generates its own concept image which might in a flight of fancy be called the concept definition image. In mathematics education concept image and concept definition are two ways of understanding a mathematical concept.

Mathematical concepts and a theory of concept definition and concept image. The development of limits and continuity as taught in secondary school and university are considered. Its use however has been limited to cognitive studies.

We shall use the term concept image to describe the total cognitive structure that is associated with the concept which includes all the mental pictures and associated properties and processes. A simple model for cognitive processes will be constructed using the notions of concept image and concept definition. This paper attempts to ex plain the role of conc ept ima ge and concept definition in mathematical re asoning.

This may not be globally coherent and may have aspects which are quite different from the formal concept definition. The investigation demonstrates what kind of conceptions the mathematics teachers have of the mathematical concept equation. The concept image consists of all the cognitive structure in the individuals mind that is associated with a given concept.

Referring to the concept definition of a function vinner 1983 claims. This article revisits concept image in the context of research on undergraduate students understanding of the derivative which regards the context of learning as paramount. 2 concept definitions where the concept was introduced by means of a definition will remain inactive or even be forgotten.

Educational studies in mathematics v12 n2 p151 69 may 1981. Concept image and concept definition in mathematics with particular reference to limits and continuity. The model will be used to analyse some phenomena in the process of the learning of the function concept in grades 10 and 11.

The terms were introduced by tall vinner 1981they define a concept image as such. This is of course part of the concept. Educational conclusions similar to those in 3 which were based on historical arguments will be drawn.

Concept definition such that become an image of the concept definition. 1 in order to handle concepts one needs a concept image and not a concept definition.

Conceptual Knowledge And Communication In Mathematics Source