Discusses the two overgeneralizations "multiplications makes bigger" and "division makes smaller" in the context of solving word problems involving rational numbers less than one. Presents activities to help students make sense of multiplication and division in these situations. (MDH)

Discussed the use of Cuisenaire rods in teaching the multiplication of fractions. Considers whole number times proper fraction, proper fraction multiplied by proper fraction, mixed number times proper fraction, and mixed fraction multiplied by mixed fractions. (JN)

The column presents activities for grades K-8 focusing on the concept of equality. A geometric-puzzle motif is used, with basic number facts reviewed for the lower grades and equivalent fractions for the upper levels. Four worksheets and a problem poster are included. (DT)

Ways to use popsicle sticks as concrete models of multiplication and division of fractions are given. (MK)

Activities for providing practice in estimating sums and products using calculators are presented. Worksheets are included. (MN)

Four worksheets are designed to provide practice with addition, subtraction, and multiplication of whole numbers and decimals. (JT)

Magic squares are used to generate number games similar to tic-tac-toe. Skills that are reinforced include addition of negative numbers and addition and multiplication of fractions. (MP)

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)

A case is given against teaching division of fractional numbers. Types of problems usually solved by division are solved by methods involving only multiplication. (JP)

Discusses the generalization of the meaning of multiplication for whole numbers. Presents an example for multiplication of fractions. Provides several diagrams to help improve understanding. (YP)

Simple experiences with probability can extend third graders' understanding of the need for fractions. Three activities are given which build on language-arts experiences and incorporate concepts in multiplication, graphs, and fractions. (MNS)

The performance of 13 and 17-year-olds on National Assessment items involving computation with fractions is reviewed, together with findings from related research. Recommendations for improving instruction are offered. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).