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…

While researchers and teachers are still sorting out which programs work best in which circumstances, some basic ideas about thinking can be used by teachers. Suggestions for encouraging thinking in the classroom are offered. (MT)

A teacher offers six suggestions for giving students opportunities to exercise their commonsense thinking skills. This allows the teacher to ask rather than tell, listen rather than talk, and allows the children to provide for themselves. (MT)

Using a proportions approach to solving the three types of percent problems is discussed, with a drawing of a comparison scale. (MNS)

A letter from a parent about a homework assignment involving much repetition (and time) is used as the vehicle to discuss the problem. (MNS)

Two games and one activity designed to be used with a hand-held calculator are presented. (MK)

Describes writing process of student-authored books, I Am the Author Books (ITAB), designed to move children through therapeutic process by assigning them to be experts in their own problem areas. Describes process of creating ITAB by narrating actual book guided by one of the authors working with fourth grade girl whose preschool-age sibling had…

The ideas in this workbook for stimulating children's creative thinking are presented as integral parts of ten stories about a boy named Dudley Bond (a distant relative of a very famous spy), his friend Max (a professional bear), and his cousin Maybelle. They find their imaginations stretched by a backyard scientist-inventor who knows dozens of…

A new version of a standard old problem is presented. Ways of solving, extending, and continuing the problem that make it applicable to many grade levels are discussed. (MK)

When the words "problem" and "answers" are used in connection with computational exercises, students think they are solving problems. Distinguishing between computational forms and problems is illustrated with a variety of topics. (MNS)

Two posters that can provide simulated problem-solving experiences at a corner store are provided. (MK)

This sample lesson, used with sixth graders, is designed to integrate mathematics learning with the outdoors environment. (MK)

An activity is described in which students write programs for each other using the Logo programing language. A program developed by two fifth graders is discussed. (MNS)

While conflict resolution programs in the elementary schools have been in existence for the last decade, few studies have provided quantitative data concerning the effectiveness of such programs. A study was conducted which used interviews and surveys to focus on the development, implementation, and results of a Conflict Manager program at one…

This guide is organized around six concepts: sets, numbers and numeration; operations, their properties and number theory; relations and functions; geometry; measurement; and probability and statistics. Objectives and sample activities are presented for each concept. Separate sections deal with the processes of problem solving and computation. A…