Even when two-digit numbers are irrelevant to the task at hand, adults process them. Do children process numbers automatically, and if so, what kind of information is activated? In a novel dot-number Stroop task, children (Grades 1-5) and adults were shown two different two-digit numbers made up of dots. Participants were asked to select the…

Research Findings: This article describes major theories and research on math cognition across the fields of neuroscience, cognitive psychology, and education and connects these literatures to intervention practices. Commercially available math intervention programs were identified and evaluated using the following questions: (a) Did neuroscience…

There is mounting research evidence that contests the metaphysical perspective of knowing as mental process detached from the physical world. Yet education, especially in its teaching and learning practices, continues to treat knowledge as something that is necessarily and solely expressed in ideal verbal form. This study is part of a funded…

Twenty first-graders observed an adult model perform a quantity conservation task. The children were then tested on a series of generalization tasks immediately, after one week, and after three months. The results suggested that the social experience of observation appeared to activate a cognitive restructuring of the children's mental operations.…

The subjects were 47 first-grade children from three classrooms in a Lexington, Kentucky public school. Results indicate that the position of the unknown set in a verbal problem substantially determines whether or not a problem can be modeled successfully by children of this age. (MP)

Previous research has shown that adults tend to narrow the meanings of words encountered in context, a process that has been termed instantiation. In the present study, 60 first and fourth graders selected pictures which best represented the meanings of sentences read to them. The sets of pictures included three examples of a target word in each…

The effect of games on the development of analytic thinking and problem-solving skills in young children was studied. Eight tasks were constructed, based on Guilford's Structure of Intellect Model, and a variety of commercial games were evaluated for their ability to promote analytic thinking, problem solving, and affective skills. Using students…

Tests the theoretical proposition that developmental increase in memory span results from a corresponding increase in the use of grouping strategies. (BJD)

This study investigated the relationship between several Piagetian abilities and an information processing capacity, and first-grade children's performance on verbal addition and subtraction problems. Results pointed to a sometimes small but consistent relationship between possession of a cognitive ability and solving an arithmetic problem. (MP)

The procedures used by first- and second-grade children in solving addition problems are investigated. The subjects were 56 pupils from a parochial school in Ithaca, New York. The data indicate that first graders add by counting, while second graders use both counting and noncounting methods. (MP)

Explored the relationship between the emergence of operational thought and the development of taxonomic categories in 101 first-graders. Concrete operational subjects showed a greater appreciation than preoperational subjects for taxonomic relations involving atypical exemplars. (RJC)

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)

Discusses a class on subtraction or difference-finding, problems such as "There are eight white flowers and five red flowers, how many more white flowers are there than red flowers?" used in the teaching of Japanese first grade children. Describes three instances of introductory teaching of "difference-finding" problems in the…

Documents the different problem-solving styles and approaches of two first-grade children having strong mathematical abilities. One child demonstrated an extrinsic, algorithmic style of problem-solving, while the other used an intrinsic, individual-in-control style. (NH)

Subjects were 73 first-grade children who were heterogeneous ethnically and socioeconomically. The purpose was to evaluate a component-skill analysis of the child's transition from the solution procedure counting-all to the solution procedure counting-on. The results provide a strong case for the proposed componential analysis. (MP)