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…

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)

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)

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)

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)

Much constructive computer and programable calculator activity can be stimulated by BASIC programs that are only three or four lines in length. This article illustrates several ideas with accompanying BASIC program, particularly related to the learning of algebraic concepts, that can be explored with both elementary and secondary mathematics…

Students are given a computational rule to follow for the first set of problems and must then discover the rule for the second set. Four worksheets for grades 1-8 are included. (MNS)

A set of three worksheets is provided, along with a guide for the teacher. Using manipulative materials, students investigate the difference between the consecutive sums of the numbers along the three sides of a triangle. (MNS)

Computational environments that provide integrated numeric, symbolic, and graphical capabilities provide new opportunities for laboratories in Numerical Analysis. Hermite interpolation is one topic that can benefit from such an environment. Describes a laboratory session using Mathematica that allows students to actively experience Hermite…

An open-ended data-analysis activity, prompted by a Royal Mail advertisement, explores the claim that the real cost of first class postage has fallen below the inflation rate. The activity provides realistic exercises in both arithmetic and statistical indices, and in logical interpretation of, and deduction from, the data. (JJK)

Five different triangle shapes cut from poster board or construction paper provide the springboard for student activities and discussions of a variety of geometric concepts from kindergarten to grade 8. (MP)

Describes the Question Box program, which consists of question cards designed to train children to use reference materials available in the library/media center. Highlights include the students, materials and facilities, skill development and student interest, development of questions, timing, and program administration for second grade and third…