Presents a geometric discovery involving the use of a trapezoid as a base for a pyramid. Includes reproducible student worksheet to be used as a group-discovery exercise. (MKR)

Designed as a follow-up activity for gifted and talented classes that have been using learning centers, this contract directs students in building their own learning centers. Six sections cover choosing a subject, researching, setting objectives for the learning center, developing activities for the center, writing directions and collecting…

Intended for secondary teachers in rural areas, the paper examines ways to implement a learning center approach to meet a range of students' needs, including mainstreamed special needs, students, regular students, and gifted and talented students. The first section considers B. Bloom's Taxonomy as a basis for developing learning centers.…

Illustrates exploration of composition of functions, translations, and inverse functions on a graphing calculator. Includes reproducible student worksheets. (MKR)

Low cost microcomputers with high resolution graphics provide students and educators with fast and accurate visual representations of mathematics relations and extend the benefits of discovery learning into the high school and college mathematics classroom. A recent challenge has been to use the computer in motivating students and teaching…

The properties of the cube are explored. A set of activities is given that forms the basis of a class project on discovery. (MNS)

This guidebook is designed to allow individuals to connect, sense and discover their feelings about the natural world and the environment. The guide may be used as a project or independent study in sociology, American studies, environmental studies, psychology, education, or anthropology. To use this material, one is to stop in a natural area,…

Some functions on digits of positive integers are presented as possible sources for useful investigations by students, particularly through the use of calculators and computers or in the writing of small proofs. The material is designed to encourage students to conduct their own investigations. (MP)

Several kinds of special dice are displayed and the various winning probabilities in games that could be played with them are discussed. Patterns for dice construction are provided. (MP)

Geometric construction problems are recommended as sources of stimulating exercises for mathematics classes. (MP)

Describes a lesson using magazine photographs to help students learn about cultural diversity. Cooperative learning and discovery learning techniques are utilized. A student observation sheet and culture picture map are included. (CFR)

The effects of two types of advance organizer small group instruction, expository (EO) and guided self-discovery (GSDO) were assessed in teaching the concrete operational skills of either hierarchical classification or relations to preschool children. A control group was taught using the same materials, in a manner determined by the children's…

Try to learn all you can about a plant in the winter. As the season changes, you can see what the dried seed pod is like in bloom. You are a convert if you notice a spectacular show of summer wildflowers and wonder what sort of winter weed will result. (Author/CM)

Presents a mathematics investigation in which students discover number patterns in physical structures and express their generalizations algebraically. (MKR)

Some number investigations on the multiplication table are provided by a sequence of four activity sheets. Beginning with examples of triangular and square numbers, the activities lead to the generalization. (MNS)