ERIC Number: ED207800
Record Type: Non-Journal
Publication Date: 1978-Aug
Reference Count: N/A
Understanding Understanding Mathematics. Artificial Intelligence Memo No. 488.
Michener, Edwina Rissland
This document is concerned with the important extra-logical knowledge that is often outside of traditional discussions in mathematics, and looks at some of the ingredients and processes involved in the understanding of mathematics. The goal is to develop a conceptual framework in which to talk about mathematical knowledge and to understand the understanding of mathematics, in order to improve how to learn, teach, and how to do it. The framework is developed and used to describe the acquisition of understanding. A classroom experience using the ideas developed in a seminar with six Massachusetts Institute of Technology freshmen is reviewed. The document concludes with a review of five ingredients seen as part of the process of understanding mathematics. (MP)
Descriptors: Cognitive Processes, College Mathematics, Educational Psychology, Educational Research, Higher Education, Learning Theories, Mathematics Education, Mathematics Instruction, Models, Teaching Methods
Artificial Intelligence Lab., 545 Technology Square, Rm. 338, Cambridge, MA 02139 ($1.75).
Publication Type: Reports - Research
Education Level: N/A
Sponsor: National Science Foundation, Washington, DC.
Authoring Institution: Massachusetts Inst. of Tech., Cambridge. Artificial Intelligence Lab.