The history of education is made up in part of accounts of various subjects which have developed into courses of study. Mathematics of some kind has always been included in such courses. In the American colonies, arithmetic was an important subject for practical reasons. It was needed for trade and commerce. Sailing vessels plying between Europe…

This paper analyzes common practice and the difficulties children encounter and outlines an entre to mathematics learning which may make the child's task easier. (Author)

Students tested on their ability to apply the ratio concept in a simple problem of measurement were retested two years later; one-third showed no change in category. The data were grouped in analogy to the three developmental stages of Piaget. Additional data from a group of eighth graders did not clarify further how students arrive at…

Suggests ways in which the newspaper can be used to teach reading and other language arts skills. Also gives suggestions for its use in other content areas. (VJ)

This study investigated mathematical behaviors on inequality tasks using two alternative response measures in preschool subjects. (Author)

Children completed three types of equivalent cardination tasks which assessed the influence of different stimulus configurations (linear, linear-nonlinear, and nonlinear), and density of object spacing. Prior results reported by Siegel, Brainerd, and Gelman and Gallistel were not replicated. Implications for understanding cardination concept…

Material covers: (1) What Is a Mathematical Concept; (2) How are Mathematical Concepts Developed; (3) How Can Computers Help Children Learn Concepts; (4) Using Software; (5) Writing Programs; and (6) What Must We Do. Using software and writing programs are two very different experiences, but both can enhance concept development processes. (MP)

The use of exercises that students can perform independently of any calculating aids and in a reasonably brief space of time is promoted, so that pupils can concentrate on the processes involved and any relationships of interest. Some examples are presented with the goal of increasing learning promoted. (MP)