How can children's natural perceptuo-motor skills be harnessed for teaching and learning mathematical structure? We address this question in the case of the integers. Existing research suggests that adult mental representations of integers recruit perceptuo-motor functionalities involving symmetry. Building on these findings, we designed a…

This study seeks to demonstrate a method for treatment effect estimation in a multisite observational study where the treatment is highly selective and the assignment mechanism varies across sites. The method is demonstrated by addressing three primary research questions about the effect of 8th grade algebra: (1) For students who take algebra in…

After years of implementing Interactive Math, many California school districts have bowed to parental pressure and returned to a traditional mathematics curriculum. Reforms are catching on in Texas, Ohio, Arkansas, South Carolina, and New Jersey. The white/minority SAT score gap remains wide. The National Council of Teachers of Mathematics 1990…