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…

Using play money, students buy and sell six types of stock certificates at prices determined periodically by tossing three dice; all students participate as investors, brokers, or banker. In addition to gaining practice on computational skills in a motivational game, students study the real stock market concurrently. (SD)

The curriculum for eleven-year old students in the United Kingdom, currently adopted by most schools, includes solving linear equations with the unknown on one side only before moving onto those with the unknown on both sides in later years. School textbooks struggle with the balance between developing algebraic understanding and training…

A study examined the availability, cost, and usefulness of numeracy packages suitable for use in further education. Sixty-one of 590 further education (including tertiary) colleges in England, Wales, and Scotland (a 10.3 percent response rate) completed survey instruments. Relatively few books and packages were found to be widely used. Many staff…