"Improving Mathematics in the Early Years and Key Stage 1" reviews the best available evidence to offer five recommendations for developing the maths skills of 3-7-year olds. Recommendations include integrating maths into different activities throughout the day -- for example, at registration and snack time -- to familiarise children…

Geometric and algebraic solutions to problems involving reflections of balls on a pool table are presented. The question of whether the ball must eventually enter a pocket is explored. A determination of the number of reflections is discussed. (CW)

Possible ways of mechanization for counting using a binary system are discussed. Shows a binary representation of the numbers and geometric models having eight triples of lamps. Provides three problem sets. (YP)

This report presents mathematics benchmarks organized into instructional sequences by topic. Each sequence is based upon an analysis of the order of content as it appears among a set of highly rated state standards. The report is intended to inform and guide state or district curriculum directors or others who, starting from content that is placed…

Presented is an example of a typical geometry theorem which can be used to create geometry test questions and geometry contest questions. Thirteen problems are suggested. (CW)

Four algebra problems and their solutions are presented to illustrate the use of a mathematical theorem. (CW)

This profile is designed to be a recording sheet for monitoring an individual student's progress throughout the school year. Seventh grade assessment materials and the Strategies for Instruction in Mathematics suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of the four levels…

This annotated bibliography includes activities with calculators in the areas of computational skills, geometry, measurement, number pattern recognition, and probability. (MK)

Presents a calculator-type computer program, CLICAL, in conjunction with complex number, vector, and other geometric algebra computations. Compares the CLICAL with other symbolic programs for algebra. (Author/YP)

The simple physics behind the mechanism of the toy are explained. Experimental and mathematical steps are given that help in understanding the motion of the doll-pair. The geometry of the setup is described. (KR)

Examples and solutions to these problems are presented. Figures for which different equations are necessary are presented. The use of the geoboard for this exploration is emphasized. (CW)

Discussed are the geometric patterns formed when two geometric patterns are superimposed. General moire fringes, circular and line gratings, physical applications, and projects for students are described. (CW)

In this instructional guide, a third-level, two-semester mathematics course specifically for the student who plans a career in a vocational field is presented. The course is designed to meet the needs of students with varying mathematical backgrounds and to teach the mathematical skills required by various technical areas. In this practical…

Presented is a script for a classroom presentation introducing weighted means and geometric means to students who are already familiar with arithmetic means. Frequent questioning is included to keep the students mentally active and involved in the development of this new idea. Typical student responses to these questions are provided. (CW)

Presents an activity centering on Baravelle spirals in regular polygons to review and connect a number of algebraic and geometric topics, as well as to involve students in formal calculations, visualization, pattern discovery, series, estimation, and recursion. (MKR)