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On the Theoretical Foundation of the Cognitive Method: A Strategy for Teaching Word Problems.
Peer reviewed Peer reviewed
Yeshurun, Shraga – International Journal of Mathematical Education in Science and Technology, 1980
The cognitive method, an algorithmic method for transforming verbal word problems into equations, equation systems, inequalities, etc., is presented and discussed. The psychological and mathematical aspects of the cognitive method are also reviewed. (MP)
Descriptors: Algorithms, Cognitive Processes, Educational Psychology, Learning Theories
A General Concept Internalization Model Exemplified by the Long Division Algorithm
Peer reviewed Peer reviewed
MacDonald, T. H. – International Journal of Mathematical Education in Science and Technology, 1977
The author develops a four-stage model for concept-internalization. The stages are: (1) concrete structure; (2) linguistic structure; (3) algorithm; and (4) mastery. The model is related to teaching methods and the teaching of long division is examined in detail. (SD)
Descriptors: Algorithms, Cognitive Development, Division, Elementary School Mathematics