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…

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)

Explains the concept of environmental auditing as analogous to financial auditing, as manifested through the six guiding principles of environmental excellence, and as utilized by industrial and commercial interests. Presents a questionnaire-based method to introduce students to the techniques involved in environmental auditing. (seven references)…

A personal experience is described concerning problem solving that incorporates the computer to help generate multiple examples of proposed conjectures as solutions. The positive potential of technology to allow students of mathematics to experience the process of discovering mathematics through conjecture and generalization is emphasized. (MDH)

Suggests criteria to be used in selecting problem-solving activities and criteria to be considered in choosing media, exercises, and problems for the development of problem-solving skills. Provides perspectives on developing creativity and includes a chart on how thinking and attitude components relate. Also lists related reference materials. (ML)

This collection of research reports explores teaching cognitive skills to at-risk students. Focus includes the following: (1) broad issues guiding the research; (2) historical perspective; (3) student characteristics; (4) student needs; (5) research on teaching thinking and problem solving; (6) teacher training; and (7) instructional and…