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Direct linkCohen, Dale J.; Blanc-Goldhammer, Daryn; Quinlan, Philip T. – Cognitive Science, 2018
Current understanding of the development of quantity representations is based primarily on performance in the number-line task. We posit that the data from number-line tasks reflect the observer's underlying representation of quantity, together with the cognitive strategies and skills required to equate line length and quantity. Here, we specify a…
Descriptors: Mathematical Models, Mathematics Skills, Problem Solving, Mathematical Concepts
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)
