Within a group of advanced learners, the variety of abilities, talents, interests, and learning styles can be formidable. For the first time, this book connects the unique learning differences among gifted students to the specific teaching methods used to tailor their educational experiences. Differentiated instruction for gifted and talented…

Applications problems collected from industries, businesses, engineers, and government agencies are described. (MNS)

A series of problems is presented that (1) focus on certain kinds of numbers or (2) emphasize a specific concept of number theory. Several are appropriate for extensive investigation with a computer. (MNS)

Seven applications problems are presented for gifted students to solve by writing microcomputer programs. (MNS)

This paper discusses a technique, challenging students to solve problems published in mathematics periodicals, which has been used successfully with gifted students in a regular high school class. (Author/MK)

Suggestions are given for helping mathematically gifted, creative, and talented students by grouping, organizing for enrichment, and using mathematics to challenge. Specific activities are included. (MNS)

The author shares 12 problems he has found effective in stimulating the imagination of students. (MNS)

A project designed to stimulate analytical reasoning skills in elementary school students is described, with a sample of the developed exercises. The materials were found to generate and maintain an enthusiastic response from the group of gifted eight-year-olds with which they were used. (MP)

"Pure" geometry is promoted as instructional material suitable for enriching the education of the mathematically gifted student. Examples of mathematical and logical concepts that can be highlighted with geometric presentations are given. (MP)

General characteristics of gifted students are listed. Seven attributes that characterize the gifted pupil in mathematics are reviewed in detail. (MP)

Annual mathematics talent searches for 12-year-old students were conducted in Hamburg, West Germany. One-hundred-fifty students took part in a long-term Saturday enrichment program to train them in problem finding and problem solving. The philosophy of this program is explained and illustrated with preliminary data. (MNS)

Five problems are given which are designed to challenge gifted students while giving them opportunities to use algebraic concepts. Solutions are provided. (MNS)

Three probability problems designed to challenge students are presented: Liars and Diamonds, Heads Wins, and Random Walks. Other statistic problems are suggested that could involve computer simulations. (MNS)

A collection of learning activities viewed as challenging and suitable for junior high students in grades 7 and 8 are presented. The questions are designed to suggest other situations and encourage mathematically gifted pupils to develop, practice, and refine analytical thinking skills. (MP)

Several types of problems designed to provide opportunities for mathematically able students to do original and analytic thinking at grades 3 and 4 while reinforcing numeration and computation skills are presented. (MP)