Examined the change in number knowledge and number strategies from school entry to year end among kindergartners. Found a wide range of knowledge and a broad span of achievements at both times. Overall, many children displayed considerable numerical competence at school entry, most displayed marked improvement over the year, whereas a small…

Understanding of the cardinality principle in children with Williams Syndrome (WS) was compared to that of typically developing children. Findings indicated that such understanding was extremely delayed in WS children and only at the level predicted by their visuo-spatial mental age. Findings suggested that visuo-spatial ability played a greater…

Discusses how American and Canadian Indians created mathematical connections and the first numeration systems used north of Mexico. A listing of various tribes, their locations, and how their simple or complex methods of computing may have originated from establishing a correspondence between different parts of the body and quantities they wished…

Mental arithmetic strategies were studied with 91 Dutch third graders who computed by splitting off 10s and units in both numbers or counting by 10s up or down from the first unsplit number. Results reveal flexibility in changing between and within strategy use. Implications for instruction are discussed. (SLD)

Presents an issue that arises in every country: How can teachers best help children master basic addition and subtraction facts? Discusses how this is handled in China and highlights the impact that language has on how children think about numbers. (KHR)

Explores how to use Gardner's Multiple Intelligence theory to help students' master multiplication. Focuses on helping children use their different intelligence strength to attain conceptual understanding of multiplication, develop their own thinking strategies for harder facts, and build mastery through practice and problem solving. (KHR)

Described is a study designed to extend a theoretical model of children's progression from a perceptual to an abstract concept of number. The implications of this research for the design of mathematics curricula are discussed. (CW)

Explored are various aspects of drawing graphs on surfaces. The Euler's formula, Kuratowski's theorem and the drawing of graphs in the plane with as few crossings as possible are discussed. Some applications including embedding of graphs and coloring of maps are included. (YP)

Investigated whether second grade children were aware that dealing without counting was sufficient to ensure equality of shares in a discrete sharing situation. Seventeen children were interviewed after watching a videotape of preschooler's actions on sharing activities. (YP)

Discusses the implementation of teaching estimation as portrayed in the NCTM Standards. Presents two instructional examples. (YP)

What is number sense, why it is important, how it is taught, and how it is measured are each discussed. Examples with concrete materials, calculators, and pattern recognition are included. (MNS)

The focus is on number sense in which students use the language, concepts, and operations of mathematics to find the desired numbers on a hundred chart. Worksheets for levels one-two, three-four, five-six, and seven-eight are included. (MNS)

Briefly presented are suggestions on using exercises in number patterns in second-year algebra and factoring quadratics in a 10th-grade enrichment class. (MNS)

Research findings on decimals and money are briefly summarized, followed by suggestions for classroom use. (MNS)

Four third-grade and three fourth-grade students received individualized instruction on addition and subtraction of fractions for three weeks. Students overgeneralized the meanings of symbolic representations for whole numbers to fractions and vice versa. (MKR)