Discusses the positive results of incorporating two essential elements of learning--language patterns and visualization--found in Japanese classrooms into a first grade classroom in Minnesota. (Contains 12 references.) (Author/YDS)

This article outlines a series of investigations in graph theory which simultaneously gives exercises in visualization. It is argued that one of the advantages of classroom investigations is that students can be lead to an intuitive grasp of advanced mathematics. (PK)

Discusses important lessons on the mathematics of manufacturing and how curriculum content and teaching can prepare students for working. Features concepts such as the importance of spatial and geometric reasoning, problem solving, numbers and computation, and measurement. (ASK)

Sample materials from a primary training packet are included. The packets were developed as a part of a teacher development program aimed at improving elementary mathematics by giving teachers practical ideas. The sample student materials are drawn from the areas of geometry and oral mathematics. (PK)