Each year the New York State Mathematics League (NYSML) and the Atlantic Region Mathematics League (ARML) hold mathematics competitions for secondary school students. This document contains the questions used from 1973 to 1985, and the ARML questions used from 1976 to 1985. For each competition listed the book provides: (1) power questions; (2)…

This document focuses on the use of a computer and the LOGO programing language by an eight-year-old boy. The stepping of variables, which is the development and incrementally changing of one of several variables, is an idea that is followed in one child's mind as he effectively directs himself in a freely-chosen problem-solving situation. The…

The view that geometry should be taught at every grade level is promoted. Primary and elementary school children are thought to rarely have any direct experience with geometry, except on an incidental basis. Children are supposed to be able to learn geometry rather easily, so long as the method and content are adapted to their development and…

This document is written for middle school teachers of grades five through nine who do not have specialized backgrounds in geometry. It is arranged in three parts. The first part provides a brief overview of the geometry curriculum of the middle school that includes the present state of affairs, a rationale for inclusion of geometry in the…

A survey was conducted with 104 seventh-grade students in four classrooms participating in EQUATIONS tournaments. The tournaments had been taking place on a weekly-basis for several weeks. The study compares four basic pedagogical assumptions behind the tournament structure with student opinion of the tournaments. Student responses to the survey…

This demonstration project provides intensive instruction in reading and mathematics to selected fifth graders in the 1974-75 year and for selected fifth and sixth graders in 1975-76 in order to raise the reading and mathematics performance of underachievers to a level commensurate with measured ability. The sharing of learning activities in…

Discusses the mathematical properties of magic squares. Includes a computer program that will test magic square criteria. (PK)

Introducing network theory to schoolchildren is promoted as a way of encouraging students to deal with new situations, be unafraid of challenges, and learn to think. Several applications, methods of analysis, and suggestions for further activities are provided. (MP)

Students investigate the concept of motion by making simple paper airplanes and flying them in the classroom. Students are introduced to conversion factors to calculate various speeds. Additional activities include rounding decimal numbers, estimating, finding averages, making bar graphs, and solving problems. Offers ideas for extension such as…

Suggests a multitude of ideas for students to communicate their ideas in writing using the language of mathematics. Includes a sampling of 500+ writing formats, 67 abbreviated writing assignments, and three complete assignments along with a sample student response to each. Sample assignments include advice column, biographical sketch, commercial,…

Presents an example using a computer to illustrate concepts graphically in an introductory course on differential equations. Discusses the algorithms of the computer program displaying the solutions to an equation and the inclination field of the equation. (YP)

Discusses an activity for the use of tangrams in which students flip, rotate, slide, or patch the pieces in order to construct a particular shape. Examples include provisions for constructing two trapezoids; transforming a scalene triangular region into quadrilaterals of equal area; and transforming a cross into a picture frame. (RT)

Describes five basic concepts, such as displacement, velocity, momentum, force, and moment of force. Discusses an experimental model to improve the intuitive understanding of acceleration in a straight line and a non-linear situation. (YP)

Presents guidelines for designing and using extensions, which are exercises that follow or extend the basic presentation of an idea, in the mathematics area of the Montessori program to give children more experience and depth as they explore key mathematical concepts. Describes extensions that address counting, sorting, and working with decimals.…

Presents an activity to introduce students to the intrinsic curvature of surfaces using a wide variety of objects. Describes student discoveries, several variations on the project, and possible classroom discussion topics. A reproducible student worksheet and 17 references are included. (MKR)