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Peer reviewedHalmos, Paul R. – American Mathematical Monthly, 1994
A mathematician who has been teaching for 58 years discusses 3 types of knowledge that are subjects for teaching or learning (what, how, and why) and why teaching must include problem solving or the use of the Socratic, Moore, or discovery method. (MKR)
Descriptors: Cognitive Structures, Discovery Learning, Higher Education, Learning Processes
Peer reviewedSweller, John; Low, Renae – Mathematics Education Research Journal, 1992
Reviews research on (1) schemata acquisition while learning mathematics and techniques for detecting schema in mathematics learners; and (2) assessment of the distribution of cognitive resources while learning mathematics that lead to the design of instructional techniques to facilitate schema acquisition. (26 references) (MDH)
Descriptors: Cognitive Development, Cognitive Measurement, Cognitive Processes, Cognitive Structures
