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Brez, Caitlin C.; Miller, Angela D.; Ramirez, Erin M. – Journal of Cognition and Development, 2016
Numerical estimation has been used to study how children mentally represent numbers for many years (e.g., Siegler & Opfer, 2003). However, these studies have always presented children with positive numbers and positive number lines. Children's mental representation of negative numbers has never been addressed. The present study tested children…
Descriptors: Cognitive Processes, Numeracy, Numbers, Grade 2
Watchorn, Rebecca P. D.; Bisanz, Jeffrey; Fast, Lisa; LeFevre, Jo-Anne; Skwarchuk, Sheri-Lynn; Smith-Chant, Brenda L. – Journal of Cognition and Development, 2014
The principle of "inversion," that a + b - b "must" equal a, is a fundamental property of arithmetic, but many children fail to apply it in symbolic contexts through 10 years of age. We explore three hypotheses relating to the use of inversion that stem from a model proposed by Siegler and Araya (2005). Hypothesis 1 is that…
Descriptors: Mathematics Skills, Skill Development, Computation, Attention Control

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