Representations of numerical value have been assessed by using bounded (e.g., 0-1,000) and unbounded (e.g., 0-?) number-line tasks, with considerable debate regarding whether 1 or both tasks elicit unique cognitive strategies (e.g., addition or subtraction) and require unique cognitive models. To test this, we examined how well a mixed log-linear…

This study attempts to identify different patterns of cognitive growth in kindergarten and first grade associated with selected subpopulations. The results are based upon a nationally representative sample of fall kindergartners who were retested in the spring of their kindergarten year and then again in the fall and spring of their first grade…