Compares student performance on fraction/number line tasks which varied length and equivalence. Associating proper fractions was easier on number lines of length one rather than length two; and where number of equivalent line segments in each unit segment was the same as the denominator, rather than twice that number. (CS)

A new approach to teaching the division of common fractions is described. The approach is related to the multiplication operation and involves children working with concrete materials. (MK)

Reviews the author's research on students' conceptions of mathematics and suggests ways to overcome or prevent misconceptions. (MP)

Methods are suggested for using equivalent fractions in the introductory stages of teaching fractions. (MK)

This study investigated differences in performance when sixth graders were presented with fractions in three contexts (understanding the meaning of fractions, computation with fractions, and solving word problems with fractions). Student performance varied significantly in different contexts, with the lowest performance observed on the…

Presents an activity for students to investigate equal parts and area and the connection between area and fractions. Highlights the importance of such a lesson in which children explore rich mathematical ideas, share their thinking and their work with one another, and make connections to other mathematical ideas. (ASK)

Explores the interaction of gender, sex-typed toys, and the construction of the mathematical topic of fractions as it is taught in schools. (MKR)

Investigated relationships between children's fraction concepts and whole number concepts. Four second graders were interviewed four times each over a seven-week period. Findings suggested that the schemes to coordinate units were closely related to how the children understood fractions. (Author/CMS)

Discusses examples of children's invented equal-sharing strategies that lay a foundation for reasoning about equivalence by connecting ideas from multiplication, division, and fractions. (KHR)

Describes a very successful attempt to teach fractions to year 5 pupils based on pupils making their own fraction pack. Children decided for themselves how to make the fractional slices used in the activity using colored cardboard sheets and templates of a paper circle consisting of 24 equal slices. (Author/NB)

Uses spatial visualization to make connections among Zeno's paradox, geometry, fractions, infinite series, and limits. (YDS)

Uses advertisements to develop an understanding of very small numbers. (YDS)

Describes examples of rational representation as a guide for translating terminology and information encountered in manuals for computers. Discusses four limitations of the representation. (YP)

Discusses arithmetic during long-multiplications and long-division. Provides examples in decimal reciprocals for the numbers 1 through 20; connection with divisibility tests; repeating patterns; and a common fallacy on repeating decimals. (YP)

Developing numerical relationships with calculators is emphasized. Calculators furnish some needed support for students as they investigate the value of fractions as the numerators or denominators change. An example with Logo programing for computers is also included. (MNS)