Describes an activity in which students demonstrate through a variety of creative mathematical analogies just how big Bill Gates's fortune is. (YDS)

Describes a training program based on number crunching that helps runners improve their performance. Includes a student activity sheet. (YDS)

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

Outlined is an interdisciplinary unit on statistics. Discussed are the goals, organization, the preinstruction survey, the math lessons, results, and evaluation. The survey and examples of the students' work are provided. (CW)

Included are activities published in this regular column in the "Arithmetic Teacher" from 1980-90 organized by topics and presented in a month-by-month format. Topics include estimation, fractions and decimals, geometry and spatial sense, measurement, number sense and numeration, problem solving, statistics and probability, and whole number…

Discusses mental computation and how and when it should be taught. Describes seven properties of mental algorithms. (YP)

Presents an approach to help elementary school teachers understand the difficulties involved in division by zero. Teaching suggestions to help guide students are included. (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)

Discusses games using number tablets. Describes general advantages of the games over using pencil and paper. Provides needs, skills, players, rules, and variations for eight games. (YP)

Presents frequently occurring patterns of repeating decimals. Provides a method for completing a repeating decimal with a long period from only a portion of the string. Gives several theorems with proofs. (MVL)

Describes investigations of quick cancellation problems in two-digital integers. Generalizes the results to n-digital integer problems. (YP)

Studies of young children's sequence of development from counting to the beginnings of formal arithmetic are reviewed. Four essential basic skills are identified: use of counting words, enumeration, the cardinality rule, and quantitative comparison. The contribution of counting to the development of arithmetical proficiency is stressed. (JDD)

Discusses classroom activities that involve applications of fractal geometry. Includes an activity sheet that explores Pascal's triangle, Sierpinsky's gasket, and modular arithmetic in two and three dimensions. (Author/MKR)

Discusses important mathematical ideas taken from combinatorics, arithmetic, and geometry which are considered in the context of their development in various societies around the globe, including Hebrew, Islamic, Italian, Mayan, German, and Anasazi work. (11 references) (MKR)

Sixty-four adults were tested on simple addition and multiplication problems presented in Arabic digit or English number-word format. Overall, response times and error rates were much higher with the word format, but more important, presentation format interacted with arithmetic operation and problem size. (DR)