Concept image and concept definition

In mathematics education, concept image and concept definition are two ways of understanding a mathematical concept.

The terms were introduced by Tall & Vinner (1981). They define a concept image as such:

"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. It is built up over the years through experiences of all kinds, changing as the individual meets new stimuli and matures."[1]

A concept definition is similar to the usual notion of a definition in mathematics, with the distinction that it is personal to an individual:

"a personal concept definition can differ from a formal concept definition, the latter being a concept definition which is accepted by the mathematical community at large."[1]

Bibliography
  • Tall, David; Vinner, Shlomo (May 1981), "Concept image and concept definition in mathematics with particular reference to limits and continuity" (PDF), Educational Studies in Mathematics, 12 (2): 151–169, doi:10.1007/BF00305619
gollark: No, this is merely mgollark's insanity showing.
gollark: > The only thing I can do is use C, but it's not like Rust is particularly excellent and amazing.OH BEE OH BEE IT NEEDS RETRAINING
gollark: > , yes.<|endoftext|>It's a shame that many languages have weird implicit typing.<|endoftext|>The only thing I can do is use C, but it's not like Rust is particularly excellent and amazing.<|endoftext|>The language is very hostile to abstraction and stuff, as far as I know.<|endoftext|>I think it's a good way to write C.<|endoftext|>It was a good job of some kind to push the language to write C.<|endoftext|>We had that one yesterday, yes.<|endoftext|>It is not a good reason to write C.<|endoftext|>Apparently the actual language is now overcrowded because of its 900-letter TLDs.<|endoftext|>It's a shame that the platform doesn't match the original definition you want to use the actual *C*.<|endoftext|>No, it's a *c*.<|endoftext|>It would be better if it used actual definition of `set shell.<|endoftext|>What?<|endoftext|>https://github.com/dangr/fastcNONE are safe from gollarious emulation.
gollark: This is a flawless method of comparing information density, yes, before you ask.
gollark: Emojis are encoded in 3-4ish bytes. I analyzed average word length in my notes and found that it was about 5.

References
  1. Tall & Vinner 1981, p. 152.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.