The current study assessed whether adding worked examples with self-explanation prompts focused on making connections between mathematical principles, procedures, and concepts of rational numbers to a curriculum focused on invented strategies improves pre-algebra students' fraction number line acuity, rational number concepts and procedures.…

Prior work exploring preschool-aged children's reasoning with repeating patterns has shown that patterning ability is an important predictor of math achievement; however, there is limited research exploring older children's growing pattern task performance. The current study tested whether presentation format impacts performance on growing pattern…

Dot enumeration (DE) and number comparison (NC) abilities are considered markers of core number competence. Differences in DE/NC reaction time (RT) signatures are thought to distinguish between typical and atypical number development. Whether a child's DE and NC signatures change or remain stable over time, relative to other developmental…

Developmental and individual differences in mathematical aptitude were investigated as a function of knowledge structure and processing variables. Results indicated the relative importance of knowledge structure and strategy skills in aptitude test performance. Protocol data further elaborated the interrelationships between knowledge and process…

Developmental differences in reasoning ability and item processing demands are analyzed in a study of cognitive determinants of number analogy performance in two IQ levels of elementary school children and college students. The amount of solution-related information in working memory was the crucial processing demand. Process differentiations of…