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Direct linkBraithwaite, David W.; Sprague, Lauren – Cognitive Science, 2021
When, how, and why students use conceptual knowledge during math problem solving is not well understood. We propose that when solving routine problems, students are more likely to recruit conceptual knowledge if their procedural knowledge is weak than if it is strong, and that in this context, metacognitive processes, specifically feelings of…
Descriptors: Concept Formation, Mathematical Concepts, Metacognition, Knowledge Level
Prather, Richard W.; Alibali, Martha W. – Cognitive Science, 2008
Previous work has investigated adults' knowledge of principles for arithmetic with positive numbers (Dixon, Deets, & Bangert, 2001). The current study extends this past work to address adults' knowledge of principles of arithmetic with a negative number, and also investigates links between knowledge of principles and problem representation.…
Descriptors: Numbers, Problem Solving, Word Problems (Mathematics), Equations (Mathematics)
