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…

Constructs a corrective learning system using the Socratic dialogue as a guide to correct mistakes in students' knowledge of subtraction. The Socratic dialog applies a dialectic method to present questions to the student and lets the student reconsider his or her own thinking. Results show that the Socratic-dialog approach is of great help to…

Gagne proposed in his learning hierarchy model that a final task could not be performed by an individual who does not have the subordinate skills, and that any superordinate task involved in the hierarchy of skill building could be performed by an individual provided suitable instructions were given, and provided the relevant subordinate knowledge…

This study contributes to a growing body of research on the development of elementary teacher's content knowledge of mathematics. Individual clinical interviews were conducted with preservice elementary teachers (N=21) enrolled in a professional development course called "Foundations of Mathematics for Teachers." An instrument that…