This paper reviews the Richmond (Virginia) Young Students Mathematics Class, sponsored by the Center for the Advancement of Academically Talented Youth of Johns Hopkins University for upper elementary students. Discussed are student selection, course content and approach, instructional methods, staffing, student outcomes, student and parent…

Reports 17 recommendations that focus primarily on curriculum in grades 11-13 for students who take a four-year college-preparatory program. Appropriate curricular patterns for students who are intending to pursue careers that depend on mathematics are indicated. (PK)

Describes some developmental changes in children's free creations with pattern blocks and demonstrates how to build on this natural interest to teach Logo programing. (PK)

The study investigated which addition facts children and preservice teachers view as being difficult, whether it is possible to determine facts which are difficult for all children, and whether children and adults agree on which facts are difficult. Results indicated that children and adults disagree about the difficulty of facts. (PK)

The study examined the effects of classwide peer tutoring (involving team assignment, a game format, contingent point rewards, and immediate error correction) on the academic performance of mildly handicapped and nondisabled students (n=91) in ninth- and tenth-grade math classes. Group and individual results indicated significant improvement in…

Discusses the snowflake curve as a way to introduce the topic of sequences and series. Computer programs which produce graphic results are included. (PK)

Investigates whether elementary school students can construct operations of thought for integers and integer addition crucial for understanding elementary algebra. Two sixth graders were taught using a computer. Results included both students being able to construct mental operations for negating arbitrary integers and determining sign and…

Reports on a study designed to investigate aspects of young children's knowledge of fractions and partitions of quantities. Findings suggest that although children did not have a deep understanding of the concept of one half, a significant number demonstrated a powerful systematic procedure leading to the creation of accurate equal fractional…

Article is based on the keynote address of the 1987 annual meeting of the National Council of Teachers of Mathematics. Suggests that George Polya left a legacy which has not only touched knowledge and abilities in mathematics and problem solving but also had significant effects on thoughts about teaching. (PK)

Presents a set of activities, in reproducible format, emphasizing geometry. The activities offer experiences in area measure, whole number and fractional computation, and problem solving in spatial relationships. (PK)

Presents a summary of the arguments for and against calculator use in teaching mathematics. Includes an overview of research and suggestions for calculator use in the classroom. (PK)

Presents reviews of three software packages. These are "Ant Farm," a game of problem solving using guess and check or trial and error; "Learning Place Value"; and a set of three utility programs--"Mastering Math: Diagnostic System,""Mastering Math: Worksheet Generator," and "Mastering Math: Management System." (PK)

This article is based on the 1987 presidential address to the National Council of Teachers of Mathematics. The work of George Polya is used to draw conclusions about teaching and learning mathematics. (PK)

Argues that, though considerable difference of view is evident between Montessori and Piaget about the importance of certain concepts and level of cognitive development necessary for genuine understanding, the ideas and methods first presented by Montessori 80 years ago stand up well when evaluated through the lens of current research. (PK)

Argues that number concepts are not single-faceted ideas that children either have or do not have. Suggests that number concepts can be broadened by helping children develop a collection of relations. Examples of classroom activities are included. (PK)