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…

Although math anxiety is associated with poor mathematical knowledge and low course grades (Ashcraft & Krause, 2007), research establishing a connection between math anxiety and math achievement has generally been conducted with young adults, ignoring the emergence of math anxiety in young children. In the current study, we explored whether…

The current study investigated how young learners' experiences with arithmetic equations can lead to learning of an arithmetic principle. The focus was elementary school children's acquisition of the Relation to Operands principle for subtraction (i.e., for natural numbers, the difference must be less than the minuend). In Experiment 1, children…

Reading-specific and general color-shape cognitive flexibility were assessed in 68 first and second graders to examine: 1) the development of graphophonological-semantic cognitive flexibility (the ability to process concurrently phonological and semantic aspects of print) in comparison to color-shape cognitive flexibility, 2) the contribution of…

We investigated the effects of transparent fraction names on children's reasoning about fractions. U.S. and Korean first and second graders were tested using verbal and nonverbal measures. On a verbal task, Korean students were worse at interpreting their own conventional fraction names than interpreting modified terms with a more familiar word…

Path analysis was used to test theoretical models of relations among variables known to predict differences in children's memory--strategies, capacity, and metamemory. Children in kindergarten to fourth grade (chronological ages 5 to 11) performed different memory tasks. Several strategies (i.e., sorting, clustering, rehearsal, and self-testing)…