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

Hypothesizing that subtraction of (negative) integers requires formal operations, the author describes a study of children's understanding of related concepts. The study involves the use of apparatus embodying properties of the number line. (SD)

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…

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…

The purpose of this paper is to review the intellectual traits of egocentrism and perception dominance in young children 2 through 7 years of age and to explain, in a concrete way, how these two characteristics interact to greatly influence their ability to form logical and stable concepts. A secondary purpose is to suggest activities that may…

Five sets of activities for students are included in this document. Each is designed for use in junior high and secondary school mathematics instruction. The first is concerned with the use of models in mathematics. The second contains a variety of activities involving polygonal numbers. The third set of activities includes a variety of games for…

By varying task conditions and constraints on subjects, this study attempted to extend and refine a developmental theory of partitioning as a foundational process undergirding children's construction of a rational number. Subjects were 31 preponderantly higher-grade pupils enrolled at an elementary school in Nova Scotia, Canada. Two tasks were…

Numerous studies indicate that performance in solving single step multiplicative word problems is influenced by both problem structure and the types of numbers involved in the problem. For example, including numbers less than one often increases the difficulty of a problem. What remains unclear is how problem structure and number type interact in…