In two studies, we investigated whether using three-dimensional (3D) manipulatives during assessment aided performance on a variety of preschool mathematics tasks compared to pictorial representations. On measures of children's understanding of counting and cardinality (n = 103), there was no difference in performance between manipulatives and…

Students are faced with many transitions in their middle school mathematics classes. To build knowledge, skills, and confidence in the key areas of algebra and geometry, students often need to practice using numbers and polygons in a variety of contexts. Teachers also want students to explore ideas from probability and statistics. Teachers know…

"Improving Mathematics in the Early Years and Key Stage 1" reviews the best available evidence to offer five recommendations for developing the maths skills of 3-7-year olds. Recommendations include integrating maths into different activities throughout the day -- for example, at registration and snack time -- to familiarise children…

This is a set of 8 x 11-inch cards containing ideas for manipulative materials, generally inexpensive household items, for use in the elementary classroom. The cards are tab-indexed into seven categories: sets (which is subdivided into set recognition and set operations), number-numerals, geometry, measurement, probability, number theory, and…

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

Homemade geostrips, "angle-fixers" (cardboard circular sectors) and brass fasteners can be used by students to explore properties of angles, triangles and other polygons. Several games and other activities are suggested. (SD)

Wooden cubes can be used with task cards and teacher-made materials to develop and reinforce learning of linear measurement, area and multiplication, volume and surface area. Students can use cubes to cover area and fill boxes; later they learn to make boxes to fit specified numbers of cubes. (SD)

Brief articles are included on dropping perpendiculars, working with rational exponents, and finding the square root with base 10 blocks. (MNS)

Presented are two sets of materials appropriate for exploring different aspects of shape. Ideas about sequences are considered. (PK)

This book is a collection of teaching strategies and activities for teachers of secondary mathematics. This volume is the product of a workshop that focused on student understanding of directed numbers. Suggested teaching methods include introducing the number concept, using a number line, number strips, monograms, bottle top addition and…

This is the fifth in a series of publications to help teachers use a mathematics laboratory approach in the elementary school. It provides 64 activities, developed by teachers and field-tested in classrooms. It is designed to be used with any basic mathematics program, as a stimulant to encourage teachers to use their imagination to develop…

This guide describes 47 number and numeration learning activities that can be used with elementary school students. These activities have been developed using the mathematics laboratory approach. This publication is designed to serve as a stimulant to encourage teachers to open their minds and employ their imagination in developing further…

The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…

The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…