Argues that number concepts are not single-faceted ideas that children either have or do not have. Suggests that number concepts can be broadened by helping children develop a collection of relations. Examples of classroom activities are included. (PK)

Four activity workshops are suggested which might be used for several different purposes. The reproducible worksheets address clock patterns, patterns with tides, extending Pythagoras, and fractions extended. (PK)

Discusses the mathematical properties of magic squares. Includes a computer program that will test magic square criteria. (PK)

Describes methods and software for graphing representation of a complex function of a complex variable. Includes an application of a graphical interpretation of the complex zeros of the cubic and their properties. (PK)

A study of mathematical vocabulary conducted with Navajo Indians in grade four is discussed. How students processed mathematical terms and concepts is described, with problems for Navajo students noted. Recommendations are included. (MNS)

Why games should be used in mathematics classes is discussed. Their advantages and use in teaching mathematics effectively are emphasized: to practice skills, to develop concepts, to build problem-solving strategies, and to motivate. (MNS)

Describes a field study of kindergarteners which found 1,006 pupils conserved identity up to 8 months, and 693 pupils conserved identity and equivalence. Follow-up studies showed no relationship between kindergarten conservation abilities and grade 1 math skills, although grade 6 math performance correlated significantly with kindergarten…

The purpose of this paper is to examine how mathematically talented children in a disadvantaged rural community experience mathematics, both as a discipline and as a school subject. The aim is to find answers to questions such as: "What do these children think mathematics is?" "What value do they attach to the study of…

This paper points up, in the case of a particular class discussion, the crucial role that the Trace tool could play as potential semiotic mediator for the notion of function. In particular, the episode we are presenting here want to show how the idea of trajectory developed through a specific sequence of activities, carried out in Cabri and…

Early Childhood Research and Practice (ECRP), a peer-reviewed, Internet-only journal sponsored by the ERIC Clearinghouse on Elementary and Early Childhood Education (ERIC/EECE), covers topics related to the development, care, and education of children from birth to approximately age 8. The journal emphasizes articles reporting on practice-related…

Intended for preschool and primary grade teachers, this book draws on guidelines from the National Association for the Education of Young Children (NAEYC) and standards from the National Council of Teachers of Mathematics (NCTM) to offer classroom vignettes and teacher-tested activities and strategies that will inspire early childhood teachers to…

Noting that current views of mathematical learning and teaching focus on the child as a responsible student who attends to instruction and who constructs what is taught in a personal and meaningful way, this paper examines scaffolding and mediation strategies and describes the learning and teaching of elementary school level mathematics in…

Standards in numeracy are a constant concern to educational policy-makers. However, why are differences in arithmetical performance so marked? In "Individual Differences in Arithmetic", Ann Dowker seeks to provide a better understanding of why these differences in ability exist, encouraging a more informed approach to tackling numeracy…

Introducing network theory to schoolchildren is promoted as a way of encouraging students to deal with new situations, be unafraid of challenges, and learn to think. Several applications, methods of analysis, and suggestions for further activities are provided. (MP)

Challenging problems and project ideas for mathematically able students in grades 5 and 6 are reviewed. Number patterns are viewed as a good tool to introduce inductive and deductive thinking. Applications of mathematics in sales, the stock market, opinion polls, weather prediction, and other areas are discussed. (MP)