Points out that the notion of "concrete" is relative and argues the advantages of, and recommendations for, using computer manipulatives. (MKR)

Describes the use of manipulatives for solving simple combinatorial problems which can lead to the discovery of recurrence relations for permutations and combinations. Numerical evidence and visual imagery generated by a computer spreadsheet through modeling these relations can enable students to experience the ease and power of combinatorial…

Four activities which illustrate the use of manipulative materials and computers in problem solving at the elementary level are presented. Each activity discusses large group activity and a computer activity. (CW)

Discussed is the concept of mirroring in which computer programs are used to enhance the use of mathematics manipulatives. The strengths and weaknesses of this approach are presented. The uses of the computer in modeling and as a manipulative are also described. Several software packages are suggested. (CW)

Discusses possible approaches to solving the problem of how many different triangles can be formed on an n x n geoboard and the different geometric concepts utilized to formulate a solution. Approaches include counting strategies, writing a computer program, and using difference equations. (MDH)

This paper is a summary of much of the available research on college science laboratory instruction of the past decade with a focus on the effects of specific laboratory teaching strategies upon student learning outcomes. Some tentative interpretations from a review of the literature found are: (1) inquiry or investigative approaches in college…

A collection of articles from the journals "Arithmetic Teacher" and "Teaching Children Mathematics" provide ideas for the instruction and use of teacher-made instructional aids. Guidelines used to select articles for this collection called for the articles to have a clear purpose and be related to a contemporary topic in the elementary school…

Presents activities employing LOGO to help create situations that enable students to make meaningful cognitive connections while exploring mathematical relationships. Activities explore the concepts of angles and rotations, progressing from off-line to on-line activities with suggested extensions. (MDH)

This report describes a Prescription Learning Company basic mathematics multi-media laboratory at an elementary school in Austin, Texas. Research assumptions that the Prescription Learning approach makes are explored and reviewed. A sample of 12 fifth grade students participated in attitude and achievement results of the laboratory. Twenty-four…

This unit is designed to acquaint middle school students with Pascal's Triangle. The unit is intended to be completed in small groups with a minimum of teacher direction. Students complete the activities by using manipulatives, calculators and computers and then report the results to the teacher and the class. The activities include: (1) patterns…

In December of 1986 and January of 1987, questionnaires on teaching practices in science and mathematics were sent to elementary school principals in Indiana. The first questionnaire, completed by 301 administrators, concerned manipulative use of materials in science and mathematics. The second questionnaire, completed by 317 administrators,…

Reasons for poor performance in mathematics by students in the United States are discussed. According to the authors, too many students never experience arithmetic at a physical, concrete level. Students are drilled in arithmetic facts without any meaningful context and are given few opportunities to use numerical concepts in real-life…

Presents four hands-on activities to teach geometric concepts to both honors and non-college-bound students. The activities are adaptable to various levels and use manipulatives and technology to explore the concepts of enlargement, area, maximum volume, and figure duplication in a cooperative setting. (MDH)

This book is for teachers of children in preschool through grade 4. It is designed to help teachers make important decisions about the mathematics curriculum and give them some effective ways to help children attain the mathematical power needed for everyday use and for future careers. Relevant research in each chapter provides a framework and…

The Integrated Occupation Mathematics 26 Program is an optional program designed to allow students in Alberta, Canada to meet the credit requirements of the Certificate of Achievement and facilitate transfer to the General High School Diploma Program. This Teacher Resource Manual is provided to assist classroom teachers to implement the…