Activities involving spinners and dice are presented. Making the materials is noted, followed by activities on counting, computation, probability, fractions, and other ideas. (MNS)

Activities for selecting, naming, matching, recording, and reproducing fractions are presented, using a variety of illustrations and materials. (MNS)

Students are given the opportunity to deal with many kinds of data as they make graphs and interpret the results of polls. Worksheets are provided on filling in a graph grid and making bar and circle graphs as well as interpreting each. (MNS)

This essay is based on observation and interpretation of the mathematical language of children while they engage in situations involving fractional numbers. This interpretation includes the consideration of various levels of language use, informal metamorphic and metonymic uses of fractional number language, and the interplay between language use…

In this study, we examined the introduction of ratio and proportion concepts in six textbook series from four different regions, China, Japan, Taiwan and U.S. When analyzing the definition of ratio and equal ration as well as the types of ratio and proportion application problems included in each textbook series, we found similarities and…

The experiences described here use the idea of movement along the number line to reinforce the student's concept of addition and subtraction of both whole numbers and fractions. Four student worksheets and teacher guides are included. (MM)

The first idea presented is an activity aimed at teaching students to reduce a fraction to lowest terms by looking for the greatest common factor (GCF) of the numerator and denominator. The second idea looks at ways to construct solution problems that are challenging but which do not bog pupils down. (MP)

Use of geoboards and geo-islands to teach naming fractions, equivalent fractions, and operations with fractions is described. (MNS)

A process of teaching fractions is detailed that respects pupil ideas and concept images and builds on these in a way that helps children to develop personal algorithms. This approach is an attempt to get away from perceived one-sided views found in most textbooks. (MP)

This study investigated the extent to which various latent class models adequately described elementary rule-governed mathematical behaviors. Children were given a fraction concepts test. Results supported the adoption of a set of three-class models including a mastery class, a nonmastery class, and a transitional class to describe the data.…

The National Assessment of Educational Progress (NAEP) has completed its second mathematical assessment. This article focuses on the results from the second assessment of 9 year olds and 13 year olds; major results of the content areas are summarized and examples of the data are given to support the conclusions. (Author/MK) Aspect of National…

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)