This paper describes a 2-year collaborative action research project in which the focus was to investigate the effects of the use of "Hands-On Equations" mathematics manipulatives in an algebra class on students' confidence, interest in, and ability to solve and retain understanding of algebraic equations. The first phase centered on documenting…

The paper shows that the study of mathematics can be organized as a complex learning enterprise integrating manipulative-exploratory play into a newer software tool environment--a dynamic geometry, a spreadsheet, and a relation grapher. The discussion reflects work done in a lab setting with preservice and inservice teachers enrolled in…

This perfect bound teacher's guide presents techniques and activities to teach mathematics using origami paper folding. Part 1 includes a history of origami, mathematics and origami, and careers using mathematics. Parts 2 and 3 introduce paper-folding concepts and teaching techniques and include suggestions for low-budget paper resources. Part 4…

Primary students can use a geoboard to develop perceptual motor skills, pattern observation, and thinking ability by reproducing designs and developing strategies for games. (SD)

This paper discusses the results of questionnaires sent to principals and teachers on the subject of manipulatives, computer, and calculator availability and use in the classroom. The study was done in order to develop a better understanding of teachers' inservice needs. Results of the study include: (1) most teachers have at least some…

This publication presents teaching strategies to develop understanding of fractions as sensible numbers. Written for the mathematics teacher in grades K-5, it gives suggestions for teacher-led discussions and structured exploratory activities. The activities are conducted with manipulative materials that emphasize the important characteristics and…

This volume is a collection of nine papers focusing on different aspects of play. The first section, "Play, Growth, Development, and Learning," contains discussions dealing with make-believe play and learning; an all-in-fun approach to thinking, playing, and language learning for young children; and ways children learn through play. The…

Examined is the notion of "representation" as it is used in mathematics education. The first section explains what appears to the current "received view" of representation within mathematics education. The second section describes the constructivist view of representation, especially as this view is related to Piaget's theory. The third section…

This set of papers was selected from presentations made at the Fourth and Fifth Annual Conferences of the Research Council for Diagnostic and Prescriptive Mathematics because of their pertinence to classroom teachers. The papers concern: (1) "Research and Development Related to Learning about Numerals for Whole Numbers: Implications for…

This document suggests ways of using children's intuitive ideas about mathematics as a starting point for an elementary curriculum. Ways are discussed to capitalize on what children already know: to cultivate rather than discourage students' intuitive mathematical sense, and to help students make connections between what they know and what they…

This paper describes the various procedures associated with the individual interviews that are part of the data gathering processes of the Coordinated Study being carried out by the Mathematics Work Group of the Wisconsin Research and Development Center for Individualized Schooling. The first major section describes the six basic verbal addition…

This document consists of 51 articles (originally published in the "Arithmetic Teacher") which provide teachers with ideas for manipulative aids and activities. Guidelines used to select articles for this collection called for them to have a clear purpose and be related to a contemporary topic in the elementary school mathematics curriculum, to…

This handbook provides activities for teachers who wish to provide concrete learning experiences for students in a humanistic environment in a mathematics laboratory program. It is designed to serve as a stimulant to encourage teachers to open their minds and employ their imaginations in developing further activities. It is expected that the…

This study describes children's learning in a free-choice environment. Teacher controlled instruction is minimized and children participate in a wide variety of science activities with equipment that is selected by each individual student. The study occurs within an elementary school's Science Enrichment Center and the children work on the…

Ways in which early childhood educators can help children prepare for medical events through play are suggested in this pamphlet. Three qualities are seen as essential to a valuable hospital/medical play experience: (1) a focus on the child's current medical interests and experiences, (2) inclusion of information about a child's forthcoming or…