NotesFAQContact Us
Search Tips
50 Years of ERIC
50 Years of ERIC
The Education Resources Information Center (ERIC) is celebrating its 50th Birthday! First opened on May 15th, 1964 ERIC continues the long tradition of ongoing innovation and enhancement.

Learn more about the history of ERIC here. PDF icon

ERIC Number: ED489589
Record Type: Non-Journal
Publication Date: 2004-Jul
Pages: 8
Abstractor: Author
Reference Count: 16
Abstraction in Mathematics and Mathematics Learning
Mitchelmore, Michael; White, Paul
International Group for the Psychology of Mathematics Education, 28th, Bergen, Norway, July 14-18, 2004
It is claimed that, since mathematics is essentially a self-contained system, mathematical objects may best be described as "abstract-apart." On the other hand, fundamental mathematical ideas are closely related to the real world and their learning involves empirical concepts. These concepts may be called "abstract-general" because they embody general properties of the real world. A discussion of the relationship between abstract-apart objects and abstract-general concepts leads to the conclusion that a key component in learning about fundamental mathematical objects is the "formalisation" of empirical concepts. A model of the relationship between mathematics and mathematics learning is presented which also includes more advanced mathematical objects. [For complete proceedings, see ED489538.]
International Group for the Psychology of Mathematics Education, 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Web site:
Publication Type: Reports - Evaluative; Speeches/Meeting Papers
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers: N/A