There is an ongoing debate over the psychophysical functions that best fit human data from numerical estimation tasks. To test whether one psychophysical function could account for data across diverse tasks, we examined 40 kindergartners, 38 first graders, 40 second graders and 40 adults' estimates using two fully crossed 2 × 2 designs, crossing…

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…

A significant number of studies have examined the cognitive components of basic academic skills, which has led to major changes in both teaching and early identification assessment practices. However, the majority of previous research has focused solely on reading. This study examines the cognitive components of academic writing skills across…

Learning of the mathematical number line has been hypothesized to be dependent on an inherent sense of approximate quantity. Children's number line placements are predicted to conform to the underlying properties of this system; specifically, placements are exaggerated for small numerals and compressed for larger ones. Alternative hypotheses…

An increasing number of studies has investigated the latent factor structure of executive functions. Some studies found a three-factor structure of inhibition, shifting, and updating, but others could not replicate this finding. We assumed that the task choices and scoring methods might be responsible for these contradictory findings. Therefore,…

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…

Deficits in basic numerical processing have been identified as a central and potentially causal problem in developmental dyscalculia; however, so far not much is known about the typical and atypical development of such skills. This study assessed basic number skills cross-sectionally in 262 typically developing and 51 dyscalculic children in…

Although the transparency of a writing system is hypothesized to systematically influence the cognitive skills associated with reading development, results of cross-language investigations are inconsistent and usually do not address this issue in a developmental context. We therefore investigated the cognitive dynamics of reading fluency of…

This article reports on the collaborative initiative of two primary school teachers who created and implemented innovative pedagogy in order to foster a culture of thinking in their classrooms. The paper outlines teaching strategies that were used with the intent of making students mindful of themselves as learners and thinkers. A…

To date, a number of studies have demonstrated the existence of mismatches between children's "implicit" and "explicit" knowledge at certain points in development that become manifest by their gestures and gaze orientation in different problem solving contexts. Stimulated by this research, we used eye movement measurement to…

Previous studies have found that children have difficulty solving proportional reasoning problems involving discrete units until 10 to 12 years of age, but can solve parallel problems involving continuous quantities by 6 years of age. The present studies examine where children go wrong in processing proportions that involve discrete quantities. A…