The activities in this monograph are self-contained explorations into mathematical topics not often included in regular classroom work in grades 3-8. They were selected because of their intriguing enjoyment and because they deal with honest mathematics; they also strengthen skills, especially problem-solving skills. Included are activities with…

This two-volume teacher's guide is to be used with a second-semester, sixth-grade mathematics program. The manner of presentation and the pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

This study investigated the effects of certain types of science experiences ("hands-on" versus "non-hands-on") on the development of selected cognitive abilities as inferred by performance on Piagetian-type tasks. Thirty-six students from first, third, and fifth grades were randomly chosen as subjects. Eighteen of the students from each grade…

THIS DOCUMENT IS A COMPREHENSIVE MANUAL FOR THE IMPLEMENTATION OF A NURSERY OR PRESCHOOL PROGRAM. EMPHASIZING THE PHYSICAL, INTELLECTUAL, AND EMOTIONAL NEEDS OF THE 4-YEAR-OLD, THIS MANUAL DELINEATES THE GOALS OF A PRESCHOOL PROGRAM AND SUGGESTS THE MEANS OF ACHIEVING THEM. IT CONSIDERS IN SOME DEPTH SPECIFIC AREAS OF THE PRESCHOOL CURRICULUM,…

A wide variety of materials are listed and described in this resource guide. Listings include textbooks, enrichment materials, manipulative materials, and study units appropriate for students in grades K-12. Materials reviewed cover the full range of mathematical subject matter, and vary widely in their approach. Listings are arranged according to…

A review of research literature revealed that some researchers felt that the use of colored rods, such as the Cuisenaire materials, in teaching number work gave perceptual support to many relationships. Experiments conducted over 3 years attempted to test some of these relationships. During each year, experimental classes in grade one were…

This paper describes an approach to mathematics teaching and learning using teacher-constructed "virtual" materials. In this approach, virtual copies of real materials are manipulated with mouse movements to replicate the traditional physical manipulation of real materials. The paper reports on three case studies where the approach was…

In child-centered education programs, children construct their own knowledge from their experiences and interactions with the world around them, and teachers foster children's growth and development by building on children's interests, needs, and strengths within a safe and caring environment. The Step by Step educational program developed a…

The conception of mathematics anxiety held by a teacher may have a great deal to do with the way in which mathematics is characterized in classroom teaching. The purpose of this study is to determine if fourth-grade students' mathematics anxiety can be decreased by a change in implementing new instructional strategies. The study employed a…

Presents an activity in which students collect and organize data from a real-world simulation of the scientific concept of half life. Students collect data using a marble sifter, analyze the data using a graphing calculator, and determine an appropriate mathematical model. Includes reproducible worksheets. (MDH)

Highlights combinatorial problems appropriate for students aged 4 to 12 years that utilize manipulatives in a hands-on approach. Examines and identifies students' strategies and self-monitoring techniques that produce effective problem solving. (MDH)

This article describes an approach to teaching linear equations using multiple representations in a highly motivating context. Connections among representations are made explicit to enhance understanding and empower students. (Contains 4 figures.)

This short booklet describes Montessori preschool methods, materials, and environments. The booklet provides background on Maria Montessori and highlights her commitment to facilitating the self-creating process of the child. Preschool years are described as being critical in that they are the peak of children's ability to absorb all that is going…

This short booklet describes Montessori elementary education methods, materials, and environments. The booklet discusses 6-year-olds as inquisitive individuals seeking to make sense of their existence and experiences. It also presents a cosmic educational perspective which emphasizes a global world view. Storytelling is discussed as a way to…

This series of journals includes volumes 1-4 of "Growing Ideas," a journal of garden-based learning. Each issue provides instructional ideas, horticultural information and a forum for exchange among teachers using classroom gardening to stimulate learning. Ideas in each issue are separated into three sections. The "Green Tips"…