"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…

The chapters in this book reflect the work of science and mathematics educators who have worked for many years at the international level. As members of the International Consortium for Research in Science and Mathematics Education, their work provides readers with issues, models, practices, and research results that have applicability and…

This is the position statement of the National Council of Supervisors of Mathematics describing the essential mathematical competencies that citizens will need to begin adulthood in the twenty-first century. Twelve components of essential mathematics, the learning environment, technology, evaluation, and extension of the essentials are described.…

Provides an overview of research relative to achievement in the area of similarity. Suggests activities which might improve student understanding of the concept. (PK)

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)

Reports on the seventh grade and eleventh grade results of the fourth mathematics assessment of the National Assessment of Educational Progress. Addresses students' performance on variables and relations, geometry, fundamental methods of mathematics, and attitudes. (PK)

Offers three practical tips for teaching of topics in the secondary school curriculum: (1) methods for identifying problem areas; (2) a device for teaching slopes; and (3) methods for teaching the property of collinearity in geometry. (YP)

Suggests a lesson which enables students to practice estimating the measures of angles and to become proficient in using both a protractor and a ruler. (PK)

This module was designed to allow students to build or increase their level of understanding of geometry. It helps students develop those skills necessary to successfully understand and use basic geometry skills that are necessary for many vocational jobs and that act as a basis for additional understanding. The seven units include: (1)…

Examines the cause of confusion arising from ambiguity of units and semantics in length, area, and volume concept formation. Introduces the mimik, a standard area of one thousand square millimeters, and advocates its use as an interim symbol system. (JM)

Shares students' experiences with working geometrical proofs in cooperative groups. Presents an example of week-long group take-home test. (ASK)

Study of circular transformation and its associated properties is proposed as review and reinforcement of familiar concepts and for developing broader understanding of transformations. Inversion on a circle is discussed in some detail. (MNS)

Provides examples of proofs of the Pythagorean result. These proofs fall into three categories: using ratios, using dissection, and using other forms of transformation. Shows that polygons of equal area are equidecomposable and that the approach taken (via squares) is a new approach. (JN)

Discusses the derivation of Pick's theorem. However, this derivation is beyond the grasp of most high school students. Therefore, a sequence of simple exploratory activities is provided which will enable students to discover and apply Pick's theorem for finding the area of a polygon whose vertices are lattice points. (JN)

Diagrams that aid in relating the golden ratio to pi are discussed, with the theorem and its proof. (MNS)