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ERIC Number: ED489653
Record Type: Non-Journal
Publication Date: 2004-Jul
Pages: 8
Abstractor: Author
Thinking Through Three Worlds of Mathematics
Tall, David
International Group for the Psychology of Mathematics Education, 28th, Bergen, Norway, July 14-18, 2004
The major idea in this paper is the formulation of a theory of three distinct but interrelated worlds of mathematical thinking each with its own sequence of development of sophistication, and its own sequence of developing warrants for truth, that in total spans the range of growth from the mathematics of new-born babies to the mathematics of research mathematicians. The title of this paper is a play on words, contrasting the act of "thinking through" several existing theories of cognitive development, and "thinking through" the newly formulated theory of three worlds to see how different individuals may develop substantially different paths on their own cognitive journey of personal mathematical growth. [For complete proceedings, see ED489597.]
International Group for the Psychology of Mathematics Education, 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Web site:
Publication Type: Reports - Descriptive; Speeches/Meeting Papers
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A