ERIC Number: ED029779
Record Type: RIE
Publication Date: 1967
Reference Count: N/A
The Psychological Foundations of Mathematics.
Journal of the National Center for Scientific Research, Paris, France
This paper outlines problems which are central to the psychological foundations of mathematics. Discussed are the relations that exist between psychological and classical foundations of mathematics. It is shown how the inadequacies of current learning theories which account for complex mathematics learning may be made explicit for appropriate application of Padoa's principle. Topics that are given central consideration in this paper are those of abstraction, imagery, and algorithms. The most detailed discussion is devoted to the learning of the arithmetic algorithms. In addition various algorithms that may be used to learn simple addition facts are outlined, and the results of an experiment testing one of these models are reported. The paper concludes with the discussion of an experiment which used a computer-based teletype and which was concerned with the commutative, associative, and distributive laws of arithmetic. (RP)
Descriptors: Arithmetic, Elementary School Mathematics, Learning, Learning Theories, Mathematics, Mathematics Education, Psychological Studies
On loan from the ERIC Center for Science Education, 1460 West Lane Avenue, Columbus, Ohio 43221
Publication Type: N/A
Education Level: N/A
Authoring Institution: Stanford Univ., CA.