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…

This book introduces case studies in mathematics education that provide teachers with opportunities to look at someone else's teaching in an objective way and analyze their own teaching with a critical eye. In addition, this book addresses many of the topics considered the hardest to teach and learn, including place value, number sentences, basic…

Six easy-to-learn strategies are offered to help students with learning problems in mathematics make error-free subtraction calculations when either the subtrahend or remainder is a 9, 8, or 7 and when the minuend is in the teens. (CB)

Found that, after extracting an arithmetic problem from a real situation and working out an answer, 6- to 12-year-olds with learning difficulties in math were unable to reapply the answer to the situation. Also found that the children, in a hypothetical situation, were unable to use token money, or to do calculations on paper or with an electronic…

Compared performance of 9-year-olds with arithmetic difficulties to that of age-matched and ability-matched controls on 10 tasks used to assess different aspects of working memory, including subtypes of executive function. Found deficits in executive and spatial aspects of working memory that seem likely to be important factors in poor…

This article proposes use of a restructured hundreds chart that involves a right-to-left sequence of numbers (similar to the direction of computations) and inclusion of zero. Specific instructional activities using the restructured chart are suggested for teaching such skills as counting, number identification, numerical relationships, place…

Suggestions are given for effective classroom diagnosis and remedial instruction techniques that may provide some mathematical therapy. (JT)

A Word Problem Program was set up to teach elementary school students how to solve arithmetic word problems and to teach some problem solving skills applicable to nonword problems. All instruction is accomplished through a computer program. Goals of the program are described along with three basic instructional decisions and the reasons for them,…

Diagnostic interviews were conducted with third graders to determine why they made mistakes on sixteen arithmetical tasks. A modified version of the Newman method of analyzing errors is discussed and applied to these interviews. (MP)

This document notes that arithmetic disabilities can occur with an otherwise normal intelligence level. Two models of explanation are given. The first emphasizes the conditions under which children learn mathematics, the second views the identification of a number of factors in the "structure of intelligence" that appear to be strongly…