This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

The use of a 25-pin lattice geoboard in a six-week course in middle school geometry is presented, with sample activity cards and test items. Two other ideas discuss the use of algebra in solving verbal problems and teaching negative exponents. (MP)

This guide for a mathematics curriculum for grades 1-4 presents topics in sequential order for the entire four-year program. Grade level was not used for separating units; instead, an integrated sequencing of concepts was used in preparing this guide. The relationship between units is specified for the teacher as an explicit mapping of how a…

This paper is divided into three parts. Part I connects the reality of the classroom with the idealism which arises from some of the problem solving literature. It is argued that a broader concept of problem solving is needed to provide a perspective for bridging the gap between the conceptions of problem solving in the literature and typical…

An exercise in applied mathematics that focuses on belt drives that is suitable for senior secondary pupils is presented. Some comments on classroom use and student reactions to this lesson are included. (MP)

The product of a Special Studies Institute, this teacher developed resource guide for the emotionally handicapped (K-6) presents 37 activities designed to develop mathematics concepts and skills utilizing the urban out-of-doors. Focus is on experiencing math models, patterns, problems, and relationships found in an urban environment. Activities…

This sourcebook is an example of how environmental concepts can be introduced into various areas of the school curriculum. Included are a series of problems, projects, and exercises for students in grades four through ten. They are concerned primarily with pollution, population, individual needs, industrial needs, and consumption, on both a…

This book provides a research background for adults helping three to five year olds learn mathematics, including social and emotional processes as well as key mathematical ideas and common difficulties. It includes implications for practice and proposes presented with a playful and sensitive approach. It is illustrated with examples from the…