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Simon, Martin A. – PNA, 2016
This paper describes an emerging approach to the design of task sequences and the theory that undergirds it. The approach aims at promoting particular mathematical concepts, understood as the result of reflective abstraction. Central to this approach is the identification of available student activities from which students can abstract the…
Descriptors: Instructional Design, Sequential Learning, Mathematics Instruction, Mathematical Concepts
Sklar, Mark J. – 1969
The first section of this paper deals with the question of whether Piaget is a developmental or a learning theorist; the second section relates Piaget's research findings and developmental theory to a sequence of curriculum units in mathematics. It is suggested that Piaget makes no distinction between learning and development of cognitive…
Descriptors: Abstract Reasoning, Child Development, Developmental Psychology, Developmental Tasks
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Wollman, Warren – Science Education, 1977
Defines five levels between concrete and formal operation in the development of the concept of controlling variables. The sample, methodology and research on which the work is based is described in SE 519 500. (CP)
Descriptors: Abstract Reasoning, Cognitive Development, Concept Formation, Developmental Psychology
Gibson, Janice T. – 1977
Research conducted at the Institute of General and Pedagogical Psychology of Moscow, and based on the premise that the development of thought processes is a direct product of the social environment, is described. As a corollary to this premise, Piaget's view that the development of the thinking process occurs in orderly fashion is questioned.…
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Processes, Concept Formation