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Carrier, Jim – School Science and Mathematics, 2014
For many students, developing mathematical reasoning can prove to be challenging. Such difficulty may be explained by a deficit in the core understanding of many arithmetical concepts taught in early school years. Multiplicative reasoning is one such concept that produces an essential foundation upon which higher-level mathematical thinking skills…
Descriptors: Multiplication, Logical Thinking, Abstract Reasoning, Cognitive Structures

Movshovitz-Hadar, Nitsa – School Science and Mathematics, 1993
Reviews the logic underlying mathematical induction and presents 10 tasks designed to help students develop a conceptual framework for mathematical induction. (Contains 20 references.) (MDH)
Descriptors: Cognitive Development, Cognitive Structures, Concept Formation, Elementary Secondary Education

Mansfield, Helen M.; Happs, John C. – School Science and Mathematics, 1992
Reports misconceptions identified in students with respect to the topic of parallel lines and the teaching strategies found to be useful in challenging those misconceptions. (11 references) (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Structures, Concept Formation