"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…

Archimedes viewed the method of centroids as a valuable tool for intuitive discoveries. This article presents several uses of this technique and discusses how the method of centroids could be used in secondary schools. (Author/MK)

A system of area measurement developed for the isometric geoboard is used to justify some relationships that are often proved using square units of area. (Author/MK)

Examples are given of computer activities in analytic geometry. (MK)

A question posed by Euler is considered: How can polyhedra be classified so that the results is in some way analogous to the simple classification of polygons according to the number of their sides? (MK)

This model is useful in identifying specific learning problems and in providing techniques for the teacher to motivate and teach students at all levels. What it is and how it can be used are discussed, illustrated by specific strategies for geometry and science. (MNS)

Presents a variety of mathematics activities for students to solve. Sections are included on geometrical dissection, prime numbers, trigonometry, and number concepts. (RH)

Presented are activities and references involving tangrams. Seven pieces are cut from a single square of paper; other shapes and objects are made from these pieces. (RH)

A method of teaching multiplication facts to remedial students using fingers and an alternate geometric proof developed by students are suggested. (MK)

Worksheets for duplication concerned with classification and measure of various geometric shapes are given. (MK)

This module, designed for use at the high school level as a four- to eight-hour topic, includes: the geometry of a sphere, the coordinate system used to describe points on the earth's surface, parallel and meridian sailing, and the solution of right spherical triangles. (Author/MK)

Algebra is used to expand the historic construction of the arithmetic, geometric, and harmonic means to include the quadratic mean and a fifth mean. (MK)

Presented are suggestions for teaching metric conversion and the properties of quadrilaterals. (MK)

An application of transformation geometry to special relativity is described. No knowledge of physics is required, but the application uses transformation ideas in a nontrivial way. A comparison is given of reflections in the Euclidean and Minkowski (non-Euclidean) planes. (MNS)

A didactic principle of operative concept formation is described and explained. It is argued that this principle meets current demands for practical geometric activities with concrete forms and for the exploration of the primordial relation between geometry and reality. (MK)