Children start preschool with large individual differences in their early numerical abilities. Little is known about the importance of heterogeneous patterns that exist within these individual differences. A person-centered analytic approach might be helpful to unravel these patterns and the cognitive and environmental factors that are associated…

The integrated theory of numerical development posits that a central theme of numerical development from infancy to adulthood is progressive broadening of the types and ranges of numbers whose magnitudes are accurately represented. The process includes four overlapping trends: (1) representing increasingly precisely the magnitudes of non-symbolic…

The integrated theory of numerical development posits that a central theme of numerical development from infancy to adulthood is progressive broadening of the types and ranges of numbers whose magnitudes are accurately represented. The process includes four overlapping trends: 1) representing increasingly precisely the magnitudes of non-symbolic…

To build cognitive foundation for number, twenty-six low-performing, low-SES first graders did mathematical physical-knowledge activities, such as "bowling," during the first half of the year. As their arithmetic readiness developed, they tried more word problems and games. At the end of the year, these children did better in mental arithmetic and…

The article discusses the arithmetic achievement deficits of learning disabled students, cites research on cognitive factors involved, reviews the neurological evidence, and describes orientations focusing on cognitive psychology and the instructional context. Recent findings of an arithmetic task force from Columbia University are summarized. (CL)

Examined relations between phonological processing and emerging individual differences in math computation skills. Found that phonological memory, access rate to phonological codes in memory, and phonological awareness were uniquely associated with growth in number of computation procedures mastered from 92.5 to 134.8 months. Phonological…

This experiment tested the hypothesis that combining operational strategies with free verbalization facilitates development of competencies, percepts of self-efficacy, and interest in arithmetic activities. Children lacking division skills received treatments in which they either verbalized division strategies, verbalized freely, did both, or did…

Learning activities and questioning skills that teachers in Tasmania can use to determine a child's mathematics understanding are presented. Covered topics include division, multiplication, subtraction, addition, sorting and classification, one-to-one correspondence, patterns, ordering, and counting. Included for each topic are the aim, needed…

A study was conducted to examine the learning of mathematical concepts by English dominant and Spanish dominant primary school children. The concepts considered were number, numeration, and computational procedures. Using the case study method, a three step procedure was designed to study individual math objectives: (1) objectives were first…

The study reported in this article examined relations between ethnicity, out-of-school activities, and arithmetical achievements in Latin American and Korean American children in first, second, and third grades. Three types of data were collected: parents' educational attitudes and beliefs, parents' reports of children's everyday activities with…

This study was an initial effort at Brenau College (Georgia) to analyze the relative effectiveness of a self-paced math lab approach to developmental pre-college algebra. Students enrolled in 1988-89 were taught under the lecture method; this applied to students needing both developmental arithmetic and developmental algebra. During the subsequent…

The Proceedings of PME-XVI has been published in three volumes because of the large number of papers presented at the conference. Volume 1 contains: (1) brief reports from each of the 11 standing Working Groups on their respective roles in organizing PME-XVI; (2) brief reports from 6 Discussion Groups; and (3) 35 research reports covering authors…

The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…