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Turner, John J. – School Science Review, 2018
This article endeavours to define how the application of incorrect or wrong solutions to mathematical equations or problems can be used to help stimulate students to perform a critical analysis of the mathematics being applied or the context of the equations used. The context of the application is discussed together with the specific learning…
Descriptors: Critical Thinking, Equations (Mathematics), Mathematics Instruction, Mathematical Concepts
Kieran, Carolyn – 1982
This paper focuses on the identification of some conceptual factors underlying the initial learning of algebra. It describes a study which uncovered three predominant notions existing in a sample of ten 12- and 13-year olds prior to formal instruction in algebra, and the ways in which a particular approach to the teaching of algebra affected both…
Descriptors: Algebra, Cognitive Processes, Educational Research, Error Patterns
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Fisher, K. M.; Lipson, Joseph I. – Instructional Science, 1985
Summarizes information processing models of the mind based on a literature review; describes a prototypical model of college learning; examines links between mental models and cognitive errors; reviews cognitive science students; and identifies six factors contributing to cognitive error production. (104 references) (Author/MBR)
Descriptors: Cognitive Processes, Cognitive Style, Error Patterns, Higher Education