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Blanton, Maria; Isler-Baykal, Isil; Stroud, Rena; Stephens, Ana; Knuth, Eric; Gardiner, Angela Murphy – Educational Studies in Mathematics, 2019
We share here results from a quasi-experimental study that examines growth in students' algebraic thinking practices of generalizing and representing generalizations, particularly with variable notation, as a result of an early algebra instructional sequence implemented across grades 3--5. Analyses showed that, while there were no significant…
Descriptors: Elementary School Students, Grade 3, Grade 4, Grade 5

MacDonald, I. D. – Educational Studies in Mathematics, 1978
The nature of insight is discussed as it relates to mathematical models. Intuition and the intuitively obvious are argued to have no necessary connection with models. (MP)
Descriptors: Cognitive Processes, Concept Formation, Generalization, Higher Education