Some scientists and public figures have hypothesized that women and men differ in their pursuit of careers in science, technology, engineering, and mathematics (STEM) owing to biological differences in mathematics aptitude. However, little evidence supports such claims. Some studies of children and adults show gender differences in mathematics…

Historically there has always been a lively research discussion on whether the development of number concept should be considered as innate, or whether the catalyst for the development of the number concept -- and for counting -- is hearing number words combined with seeing concrete examples. One can recognize these theories as the nativist view…

For learning math, non-symbolic quantity skills, symbolic skills and the mapping between number symbols and non-symbolic quantities are all important precursors. Little is known, however, about the interrelated development of these skills. The current study focuses on numerical development by: (a) investigating the structure of non-symbolic,…

Preschool teachers use the domino effect--standing dominos on end in rows and pushing one over--to examine how play contributes to children's acquisition of knowledge. Using diagrams, photos, and vignettes of children between the ages of 3 and 5 years, the authors demonstrate how children at different stages of development use physical knowledge…

The developmental psychology of mathematical thinking and the clinical interview method can make major contributions to education by transforming the process of formative assessment--the attempt to use information concerning student performance, knowledge, learning potential, and motivation to inform instruction. The clinical interview is a…

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…

Task performance experiments concerning properties of mathematical groups with 10 and 11 year-old children are discussed including transfer effects, effects of structural relations, individual differences, and memory (both short and long term). (JG)

Arguing that cognitive development involves both conceptual and semiotic achievements, the authors emphasize the distinctness of semiotic issues and develop a differentiated appreciation of semiotic aspects of cognition, particularly in elementary mathematics cognition. Semiotic analyses are provided of differences between counting, adding, and…

Space and shape, estimating and measuring, and number are viewed as the three strands of mathematics that come together as a child develops mathematically. Five cognitive/mathematical levels of development, labeled discrimination, order, application, operation, and estimation, are identified and discussed. (MP)

Advocated is the use of everyday games and situations instead of the traditional use of textbooks, workbooks, and worksheets. New goals and principles for the beginning arithmetic student are presented. Modifications of activities that promote the constructivist ideal are included. (KR)

Describes a collaborative project that allows students to explore the role of culture in child development and education through an in-depth study of mathematics education in the United States and Asia. Reports that the assignment is effective in helping students to understand cultural influences and the ecological model of child development. (DSK)

While a growing body of research reveals the beneficial effects of music on education performance the value of music in educating the young child is not being recognized. If research of students in the school system indicates that learning through the arts can benefit the "whole" child, that math achievement scores are significantly…

What kind of developmental potential is present in elementary schoolchildren but hindered by the traditional type of education? Half a century ago Daniel El'konin and Vasili Davydov, the leaders of Russian Vygotskian educational psychology started answering this question. They suggested that reflection is a basic human ability and it can be…

Although geometry and spatial reasoning are important as a way to interpret and reflect on the physical environment and also form the foundation for learning mathematics and other subjects, many early childhood and primary school teachers spend little time instructing their students in these areas. This paper examines how young children learn…

This document was developed to provide some perspectives on the use of case studies and other clinical approaches in mathematics education. A large portion of the paper contrasts several research strategies, discussing in detail some of the procedures and results of three distinctive types of clinical studies. The perspectives and the premises of…