Longitudinal associations of domain-general and numerical competencies with individual differences in children's understanding of fractions were investigated. Children (n = 163) were assessed at 6 years of age on domain-general (nonverbal reasoning, language, attentive behavior, executive control, visual-spatial memory) and numerical (number…

This study examined whether the quality of first graders' (mean age = 7.2 years) numerical magnitude representations is correlated with, predictive of, and causally related to their arithmetic learning. The children's pretest numerical magnitude representations were found to be correlated with their pretest arithmetic knowledge and to be…

Theoretical analyses of the development of numerical representations suggest that playing linear number board games should enhance young children's numerical knowledge. Consistent with this prediction, playing such a game for roughly 1 hr increased low-income preschoolers' (mean age = 5.4 years) proficiency on 4 diverse numerical tasks: numerical…

Despite research demonstrating a strong association between early and later mathematics achievement, few studies have investigated mediators of this association. Using longitudinal data (n = 1,362), this study tested the extent to which mathematics self-concepts, school placement, executive functioning, and proficiency in fractions and division…

This study examined the generality of the logarithmic to linear transition in children's representations of numerical magnitudes and the role of subjective categorization of numbers in the acquisition of more advanced understanding. Experiment 1 (49 girls and 41 boys, ages 5-8 years) suggested parallel transitions from kindergarten to second grade…

Learning of class inclusion by 5-year-olds in response to empirical and logical explanations of an adult's answers was examined. Contrary to the view that young children possess an empirical bias, 5-year-olds learned more, and continued learning for longer, when given logical explanations of correct answers than when given empirical explanations.…

Three experiments were performed in an attempt to integrate ideas and methods developed to study problem solving with those developed specifically to study children's inquiry strategies. (Author/JMB)

Issues include consistent individual differences in children's strategy choices, interpretation of differences within a framework, and the relation of differences to standardized test performance. (RJC)

Attempted to determine (1) whether developmental differences existed in children's comprehension of simple necessity and simple sufficiency relationships, and (2) the source of developmental differences in children's causal reasoning. (SB)

Maintains that recent theoretical and methodological advances have sparked renewed interest in studying children's learning. Describes consistent and interesting findings regarding how children learn and intriguing proposals regarding mechanisms underlying learning. Argues that increasing the focus on children's learning promises practical…

This study examined 6- to 8-year-old Slovenian children's acquisition of matrix completion proficiency and compared microgenetic and age-related changes on the task. Microgenetic analyses indicated that: variability of children's errors increased before they discovered the correct strategy, the correct strategy became dominant shortly after…

Investigated the serial recall strategies of 96 children aged 5-8 years by applying a theoretical and methodological approach originally developed to investigate preschoolers' arithmetic strategies. Results indicated the use of multiple approaches for serial recall and adaptive strategy choices. (RJC)

This study tested three hypothesized mechanisms through which explanations might facilitate problem-solving strategy generalization in kindergarteners through second graders. Results suggested that explanations facilitated generalization through the creation of novel goal structures that enabled children to persist in use of the new strategy…

By varying task requirements within a common procedural framework, four experiments established conditions under which children exhibit different understandings of life. Overall, results suggested that even four- and five-year-olds know that people and other animals are alive and that almost all "inanimate objects" are not. (Author/RH)

Identified some experiences that lead to preschool children's transition from less to more systematic problem-solving strategies. Receiving encouragement to adopt more analytic attitudes and encountering problems with perceptually salient differences on a relevant dimension were the two types of experiences examined. (Author/DB)