Whether math problems require computation skills, problem solving strategies, inferential thinking skills, or deductive reasoning, mathematically talented students are often able to discern answers with unusual speed and accuracy. Mathematically gifted students are able to see relationships among topics, concepts, and ideas without the…

The stated purpose of the Project for Mathematics Education for Gifted Secondary School Students (MEGSSS) is to provide an instructional program for gifted students utilizing the Elements of Mathematics (EM) Program, a curriculum specifically designed for students with superior reasoning ability in mathematics. This report is the result of an…

The Advanced Placement (AP) and International Baccalaureate (IB) Programs have become increasingly prominent service options for gifted and talented secondary students, and are often the primary option in many school systems. This review presents the general historical background, overriding philosophies, procedures, perceived advantages and…

This program provides challenging mathematics for children with above average mathematical ability, with particular focus on the top third of 10 to 12 year olds. The material was composed on worksheets and categorized under Angles, Circles, Data and Coordinates, Directed Number, Fractions, Measures, Number and Symmetry. (MP)

Several areas of concern are noted in the emerging national movement toward programs for mathematically gifted students. Four areas of current needs that could be better addressed which would greatly expedite current efforts are noted. (MP)

Discusses the importance of the use of rich problems to challenge gifted students. Highlights the characteristics of challenging problems and projects, and presents examples of these kinds of questions. (ASK)

This article describes the Mathematics Investigation Center (MIC), a tool to help elementary teachers differentiate the curriculum for their gifted mathematics students. Using the same mathematical theme that the rest of the class is studying, the activities provide depth for the gifted students by shifting from a computation level to a problem…

Proposes that states promote the preparation of mathematically and scientifically talented high school students through the establishment of special residential high schools. (MD)

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)

Research on mathematically gifted pupils is reviewed. Sections cover: background; research method; the structure of mathematical abilities; nature of mathematical deficiencies; development of structure of abilities; characteristics of mathematically able and sex-related results; sex-related results; and implications for teaching. (MP)

An account of the educational system for mathematically gifted students in Czechoslovakia is presented. Three components are described: compulsorily optional and facultative mathematical school subjects taught in basic and secondary schools, special mathematical classes of the basic schools and the gymnasiums, and such mathematical competitions as…

There are two kinds of logical reasoning: "inductive" and "deductive". Inductive reasoning proceeds from effect back to cause, from special case to general principle. Detectives use it, examining the clues and conjecturing the actions that caused them. On the other hand, deductive reasoning proceeds from cause to effect, from principle to…

Differentiation provides one method by which teachers can provide appropriate challenges at appropriate levels for all learners in a heterogeneously grouped mathematics classroom, where the range of abilities and interests can be wide. This article considers a heterogeneously grouped high school geometry class where differentiation is practiced.…

The purpose of this case study was to describe how a 4th-grade teacher and a TAG coordinator collaborated to improve services for advanced learners without the support of university faculty and with limited resources. Interviews, questionnaires, transcriptions of videotaped consultation sessions, and observations of classroom instruction showed…

Students were asked to make up a mathematics problem that would be difficult for a friend to solve: a subsample of 11- to 13-year-olds was interviewed as they solved the problems. Made-up problems were found to be a useful tool for studying mathematically talented children. (MNS)