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Theoretical Development of Advance Organizers.
Peer reviewed Peer reviewed
Johnson, Howard C. – International Journal of Mathematical Education in Science and Technology, 1980
A case for theoretical development of advance organizers that aid in the learning and transmission of knowledge is presented. (MP)
Descriptors: Advance Organizers, Cognitive Development, Cognitive Processes, Learning Theories
The Effect of Specially Constructed Advance Organizers and Post-Organizers on Mathematics Learning.
Peer reviewed Peer reviewed
Callihan, Hubert D.; Bell, Frederick H. – International Journal of Mathematical Education in Science and Technology, 1978
Data analysis revealed that a post-organizer had a significant facilitating effect on immediate free-recall in a controlled lecture in college statistics, but no effect on immediate content recognition or delayed free-recall. (MP)
Descriptors: Aptitude, Cognitive Development, College Mathematics, Concept Formation
Euclid Must Go.
Peer reviewed Peer reviewed
Kapadia, R. – International Journal of Mathematical Education in Science and Technology, 1980
The movement to modernize mathematics education is critically examined in the area of instruction of geometry. The author concludes that the elimination of deductive geometry should be reconsidered by mathematics teachers. (MP)
Descriptors: Cognitive Development, College Mathematics, Geometric Concepts, Geometry
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
Mathematical Analysis of Piaget's Grouping Concept. Papy's Minicomputer as a Grouping
Peer reviewed Peer reviewed
Steiner, H. G. – International Journal of Mathematical Education in Science and Technology, 1974
Through a mathematical analysis, Piaget's grouping concept can be formally interpreted as being a hybrid between the mathematical concepts of a group and a lattice. Some relevant pedagogical models are presented. Activities with Cuisenaire Rods, Dienes Blocks, and Papy's Minicomputer are shown to take place in groupings. (LS)
Descriptors: Cognitive Development, Critical Thinking, Developmental Psychology, Elementary School Mathematics