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…

The purpose of this paper is to demonstrate methods for developing cognitive processes in adult students. It discusses concept formation and concept attainment, problem solving (which involves concept formation and concept attainment), Bruner's three stages of learning (enactive, iconic, and symbolic modes), and visual thinking. A curriculum for…

Problem solving is presented as a resource for creating curriculum through reflections on intuition such as: exploring available intuitions, making explicit the intuitions used, and using intuition to generalize. (MP)

The learning station process approach to curriculum enrichment in gifted education is considered. Key aspects of such an approach, including facilitator availability, spontaneity, flexibility, individualized and creative problem solving, and individual programing, are described. (CL)

The author reviews approaches involved with acceleration for gifted students: process learning (training students to think in creative ways); individualized education (including approaches that encourage students' participation in determining content and rate); and curriculum, program, and special projects. (CL)

Describes a series of literature problems integrated into organic and biochemistry courses which direct students to seek specific information from specific sources. (GS)

Students were presented with the problem of finding all magic squares of order three. (SD)

The famous birthday problem is discussed and activities which can be used with it as an introduction to probability are examined. (SD)

Activities related to content areas important to the primary mathematics program, but outside the scope of arithmetic, geometry and measurement, are presented. Topics include relations, number sentences, solving sentences, logic, probability, statistics, number theory, and the system of integers, Inclusion of these topics is justified and…

Tables of life expectancy can provide data for use in a great variety of problems related to probability theory. (SD)

The nature of measurement, the standard measurement concepts are discussed in terms of children's preconceptions and activities for building measurement concepts through primary school instruction. A broad range of activities including counting, computation, calibration, and relating measure to size is presented. The metric system is briefly…

Using a great variety of word problems drawn from many contexts can make multiplication and division rules more relevant to the student's needs. (SD)

A problem solving approach to the teaching of the Pythagorean Theorem is described. (SD)

The University of Tulsa (Oklahoma) School for Gifted Children is a full school program for able learners ages 3-12. The school is the only one in the nation to use a curriculum based on Enaction Theory which postulates that thinking is a matter of running a simulation in one's head and involves three steps: (1) creating a mental model, (2)…

Described are various common misconceptions about the nature of mathematics and suggests that courses or activities based on model building might help change these. Two examples are offered. (SD)