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)

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

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)

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)

A problem involving the search for an equivalence class of triangles is viewed to provide several exciting and satisfying moments of insight. After solving the original problem, there is a brief discussion of a slight variation and several notes regarding related theorems and ideas. References for additional exploration are provided. (MP)

Presented is a method for finding two triangles that have five pairs of congruent parts, yet fail to be congruent. The solution is thought to involve some creative insights that should challenge both the teacher and students to recall and analyze all the congruence axioms and theorems. (MP)

The problem of finding the maximum number of right angles a polygon can have, given the number of sides, is discussed in detail. (MP)

A rationale is provided for the notion that mathematical games can be a valuable resource for the stimulation and support of student collaboration and cooperative classroom mathematical discussion. Included are examples of tangram games, people games, and board strategy games. (JJK)

Student research projects are open-ended questions or sets of questions intended to give undergraduate students experience doing introductory mathematical research. Proposed is an investigation of a Faro shuffle that is performed by cutting the deck exactly in half and then perfectly interleaving the cards of the two halves. (Author/JJK)