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Trninic, Dragan; Kapur, Manu; Sinha, Tanmay – Cognitive Science, 2020
When teaching a novel mathematical concept, should we present learners with abstract or concrete examples? In this experiment, we conduct a critical replication and extension of a well-known study that argued for the general advantage of abstract examples (Kaminski, Sloutsky, & Heckler, 2008a). We demonstrate that theoretically motivated yet…
Descriptors: Mathematics Education, Mathematical Concepts, Mathematics Instruction, Teaching Methods
Cohen, 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