This monograph presents research findings from a series of 11 studies conducted in grades 5 through 10 on the role of games in learning mathematics. The first chapter considers "What is learning from a game?" and includes two examples of mathematical instructional games, with a definition of such games, cognitive effects, game-related…

A simple probability game was analyzed hierarchically in terms of the strategies that would lead most often to an efficient sequence of plays. A series of experiments showed there was no relationship between the use of first-order strategy and knowledge of the probability content of the game. (Author/GDC)

In a study of seventh graders playing concept and skill games in mathematics, it was found that grouping students according to prior achievement did not make a major difference in their learning. (JD)

The frequency with which games must be used in order to help students maintain multiplication skills is the subject of this study. (MP)

Students in seven grade six and eight grade eight classes were involved in this study in which the effect of two versions of the "Mastermind" game on logical reasoning were compared. No differential effects on test performance were found, nor did playing the games promote improved formal reasoning skills. (MNS)

The game "Order Out", which uses manipulative and pictorial aids, is effective in teaching the ordering of common fractions. The use of manipulative or pictorial aids during instruction did not significantly affect achievement. Gender-related achievement trends were observed. (CJ)

Three geometry games are presented. For each game, the game itself and the instructional objectives are discussed. (PK)

Argues that geometry games are potentially effective instructional activities for all grade levels--even high school. Three games and some suggestions for varying the games are presented. (PK)

This study was designed to determine the effectiveness of two microcomputer instructional games in teaching probability and measurement estimation to 78 preservice elementary school teachers. The probability game did not seem effective, and the estimation game was only marginally effective. Patterns of change are discussed. (MNS)

After presenting the case for using games to teach higher-level skills, four mathematics instructional games are given. At the comprehension level are Average Hands and Polyhedron Rummy. Prime Plus is at the application level, while In Proportion is at the analysis level. (MNS)

Describes two simulations for practicing arithmetic skills: "Calculators," simulating the management of a store with a calculator, and "MECC 'Sell' Series," simulating profit-making with different levels of difficulty from grade two to eight. Provides hints for classroom use. (YP)

Compares achievement effects and time-on-task generated for computer and non-computer versions of essentially the same game. Notes that students followed different rules for the same game and pace was faster for computer versions. Reports transfer of instruction may not be complete. (MVL)