Discusses examples of children's invented equal-sharing strategies that lay a foundation for reasoning about equivalence by connecting ideas from multiplication, division, and fractions. (KHR)

Examined patterns of conceptual and procedural knowledge of addition in 5- to 8-year-olds. Found that children were more successful in noticing that addends had been reordered rather than decomposed and in noticing the decomposition of addends presented with objects rather than with symbols. Also found that profiles of procedural competence were…

Reports on pre-service primary teacher education students' involvement in a number sense program that was a component of a mathematics education unit. Suggests that students develop and utilize multiple relationships among number, attempt to make sense of the mathematics investigated, and provide considered explanations for results achieved.…

Explores the five multiplication techniques found in the 12th century Lilavati by Bhaskara, which appear again in the 1494 Summa by Pacioli. Includes a student worksheet. (KHR)

Presents two studies that explored the effects of music perceived as calming and relaxing on arithmetic and memory performance tasks of 10- to 12-year-old children. Reports that the calming music led to better performance on both tasks when compared with the non-music condition. Includes references. (CMK)

Presents a classroom activity in which students build and learn to use their own abacuses. Describes the lesson that combines mathematics, art, and social studies. (KHR)

Examines methods and types of estimation. Characterizes fruitful in-class estimation tasks by exploring the validity and possible extensions of "marble jar" estimation. (KHR)

Illustrates a modeling approach used by Singapore educators to teach mathematical skills and concepts in a problem-solving environment. (Contains 11 references.) (YDS)

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)