The purpose of the current work is to apply several main principles of the causal explanatory approach for establishing external validity to the experimental arena. By spanning the paradigm of the experimental approach and the school of program evaluation founded by Lee Cronbach and colleagues, the authors address the question of how research…

Providing exploratory activities prior to explicit instruction can facilitate learning. However, the level of guidance provided during the exploration has largely gone unstudied. In this study, we examined the effects of 1 form of guidance, feedback, during exploratory mathematics problem solving for children with varying levels of prior domain…

Three studies examined whether mathematics can propel the development of physical understanding. In Experiment 1, 10-year-olds solved balance scale problems that used easy-to-count discrete quantities or hard-to-count continuous quantities. Discrete quantities led to age typical performances. Continuous quantities caused performances like those of…