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Algorithms2
Elementary Secondary Education2
Instruction2
Mathematical Concepts2
Mathematics Education2
Teaching Methods2
Advance Organizers1
Cognitive Development1
Computer Programs1
Computers1
Curriculum1
Division1
Elementary School Mathematics1
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International Journal of…2
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Elliott, Portia C.1
MacDonald, T. H.1
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Computer "Glass Boxes" as Advance Organizers in Mathematics Instruction
Peer reviewed Peer reviewed
Elliott, Portia C. – International Journal of Mathematical Education in Science and Technology, 1978
The author proposes that computer programs which are designed to make algorithmic structures accessible and comprehensible be employed as advance organizers in mathematics instruction. These programs would bring clarity and structural integration to mathematical, instructional, and cognitive structures important to the mastery of mathematical…
Descriptors: Advance Organizers, Algorithms, Computer Programs, Computers
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