There is now wide consensus that the quality of family relationships is involved in the development of child executive functioning (EF), a set of cognitive skills that bear critical importance for social and academic adjustment at school. This body of research has, however, focused almost exclusively on dyadic parent-child interactions and failed…

Students' understanding of the meaning of the equal sign develops slowly over the primary grades. In addition to updating their representations of equations to recognize that the equal sign represents an equivalence relation rather than signaling an operation, students need to move beyond full computation to efficiently solve equivalence problems.…

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…