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Backhouse, John K. – Mathematics Teaching, 1978
The author emphasizes the importance of concepts and mathematical form in a discussion of understanding mathematics. (MN)
Descriptors: Cognitive Processes, Concept Formation, Elementary Secondary Education, Learning
Byers, V.; Herscovics, N. – Mathematics Teaching, 1977
Four kinds of understanding of mathematics are suggested: instrumental, relational, intuitive, and formal. Each type of understanding is described and illustrated. (MN)
Descriptors: Cognitive Development, Cognitive Processes, Comprehension, Concept Formation
Lamon, Susan J. – 1990
This paper examines sixth-grade children's thinking related to solving ratio and proportion problems before these children had received any instruction in the domain. It explores unitizing and norming, one of the processes identified by both content analyses (Behr, Harel, Post, & Lesh, 1990); Harel, Behr, Post & Lesh, 1990) and research in…
Descriptors: Coding, Cognitive Development, Cognitive Processes, Computation
Peer reviewedSutherland, Rosamund; Rojano, Teresa – Journal of Mathematical Behavior, 1993
This longitudinal study investigated the ways in which two groups of eight students used spreadsheets to represent and solve algebra problems and related this to their previous arithmetical experiences and evolving use of symbolic language. The spreadsheet environment supported students to move from specific to general thinking. Includes story…
Descriptors: Algebra, Case Studies, Computer Uses in Education, Concept Formation
