Learning fractions is a critical step in children's mathematical development. However, many children struggle with learning fractions, especially fraction arithmetic. In this article, we propose a general framework for integrating understanding of individual fractions and fraction arithmetic, and we use the framework to generate interventions…

Learning fractions is a critical step in children's mathematical development. However, many children struggle with learning fractions, especially fraction arithmetic. In this article, we propose a general framework for integrating understanding of individual fractions and fraction arithmetic, and we use the framework to generate interventions…

A card game is described which gives students practice with adding integers and which also develops the concept of "opposite." (DT)

Introduces the whole number machine and describes its use as an odometer in an addition game. Presents an activity in which students learn mathematics while they fly across the globe. (Contains 12 references.) (ASK)

Four ideas are presented, each a variation of the tic-tac-toe game. Recognizing three addends is the goal of the primary level game; experiences with basic facts and fractions are objectives for upper levels. Each worksheet includes objectives, directions, and comments. (LS)

Described are activities using paper plates with dots drawn on them which place a heavy emphasis on matching and ordering sets, on developing mental images of sets, and on perceiving sets of a certain size as composed of smaller subsets. Also suggested are activities involving numerals. (Author/TG)

Three classroom games for practicing addition skills are described; giving number of players, equipment needed, and directions. All materials can be readily and inexpensively prepared by the teacher. (LS)

Described are the rules and mathematical development of five games for teaching and practicing addition concepts. (PK)

In the foreword to this book, Inhelder states that its essential contribution is that "it transposed to actual reality Piaget's central epistemological thesis according to which mathematical thought is, from its most elementary manifestations, the product of the subject's activity that he characterized by the term 'reflective…

An editorial and abstracts for 12 research reports are contained in this issue. The editorial by Robert E. Reys focuses on the dangers of publishing poor research. The abstracts, each with a critique, concern research on a game for logical reasoning, wait-time and sex differences, vocabulary instruction on ratio and proportion, male-female…