Counting books offer children the time and the tools to develop the understanding needed to solve problems. Stimulated by these books, children may use mathematic language and talk about mathematics as they get involved with materials to move and manipulate, as they use supportive aids found in illustrations, and as they interact with materials to…

A mathematics curriculum for moderately and severely retarded and autistic students and adults should possess 10 necessary characteristics, including provision for instruction based on assessment results, stress on functional application, focus on generalization of skills, and specific criteria for mastery of each skill. The functional but…

Mathematics activities and facts related to pi are presented in this issue of "Student Math Notes." Included are: (1) an exercise based on Buffon's needle problem in which pieces of toothpicks are dropped onto a ruled surface; (2) a calculation of pi to 200 decimal places; (3) exercises related to Biblical and ancient Chinese…

This report, written in Finnish with a 10-page summary in English, concerns research on the interrelationship between Piagetian operations, various aspects of information processing capacity and mathematical thought processes and strategies related to number and measurement. In a theoretical discussion, Piaget's research on mathematico-logical…

Flowcharting of algorithmic procedures can be a useful tool for teachers of remedial arithmetic. (SD)

A problem solving approach to the teaching of the Pythagorean Theorem is described. (SD)

A unit on problems involving large numbers can begin with calculating the amounts of ingredients needed to produce several thousand hamburgers. Other sources of computational problems are described. (SD)

Describes how children can learn fundamental concepts of measurement by using nonstandard measuring devices and simple comparisons. (MLH)

Two approaches to teaching number concepts and operations are discussed. Their relationships to the foundations of mathematics as well as to the characteristics of the learner are explored. On the basis of this discussion the implicit approach is advocated over the definitial approach. (SD)

The results in the first report on the mathematical abilities of 9- and 13-year-old students by the National Assessment of Educational Progress are summarized and interpreted. A similar report on secondary school mathematics students appears in SE 514 760. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results…

Preservice teachers observed the performance of primary children (age 8) doing a variety of concrete mathematical tasks. (SD)

this article presents a way to stimulate the study of some properties of numbers. The number of points on the star to be drawn is predicted using the number of teeth on each wheel, the greatest common factor of those numbers, and the number of teeth in the movable wheel. (Author/KM)

This set of worksheets provides exercises related to making change, spending a fixed amount of money by "buying" items at listed prices, and deciding which of two quantities of coins has greater value. (SD)

Forty-four middle and 44 lower SES children were given Piaget's provoked and spontaneous correspondence tests to see: (1) how they made correspondence, (2) if the idea of equivalent sets, once achieved, was retained after objects were regrouped destroying visible equivalence, and (3) if age, sex, and SES differences existed. Results indicated that…