Instructions are given for constructing and using a manipulative device which can help children to conceptualize and to comprehend the base-ten place-value system. (JT)

Materials and activities used to teach change making, coin recognition, and purchasing skills are described. (JT)

The author presents two activities for practice with numbers and calculation. The first is an arithmetic adaptation of the familiar game of "Concentration" while the second is an unusual representation of addition, subtraction, and some properties of negative numbers. (Author/MN)

A manipulative model for the addition, subtraction, and multiplication of integers is described in which a carpet square with a hole in it and the plug that fits in the hole are "opposites" of each other. Several other models for integer multiplication are briefly described. (MN)

Activities for which paper strips are used to make geometric figures to practice measuring, and to create artistic designs are described. (JT)

The use of counting sticks as a concrete manipulative material in the development of number understanding and the concept of place value is strongly urged. (JT)

Directions are given for making stuffed snakes, one meter long, to aid in the teaching of the meter and centimeter. (JT)

Offers background material for teachers and learning activities that are designed to integrate tactile and visual learning for elementary school students. The purpose of the activities is to foster a stronger and more stable understanding of the basic geographical concepts of relative position and direction. (JDH)

Describes a research project designed to monitor the transition from work based on concrete materials to the more formalized aspect of mathematics found in secondary schools. The topic of subtraction was chosen by three teachers who were involved in the investigation. (PK)

Describes and provides a list of materials for sensorimotor, symbolic, and construction play. Benefits of arranging the playground with a variety of materials are also discussed. (AS)

A class of preservice teachers was divided into teams to research geometry, measurement, probability, and statistics topics and ascertain ways each can be taught to children. Activities are set up so other students can work with them. References and materials are listed. (MNS)

Experiments to probe the nature of one mode of thinking, imagined spatial operations, have been devised. Results confirm that the mind can model physical processes, subjecting them to the geometric constraints that hold in the external world. The experimental work and implications are discussed in detail. (MNS)

Fraction strips are suggested as good conceptual models to focus on the meaning of fractions. Making the strips, beginning activities, connecting symbols, more concept activities, and working with two fractions are each illustrated. (MNS)

These worksheets involve using tangram pieces to create geometric shapes and to determine area relationships. (DT)

This research presents a preliminary overview of the teaching practices of fourth grade teachers throughout the state of New Jersey. These teachers were all involved in professional development experiences designed to help them revise their approach to the teaching and learning of mathematics. In this aspect of the study, we observed at least…