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…

In an attempt to further understand connections between children's proficiency and development with single- and multidigit addition, this study investigated the conceptualizations and solution strategies of 26 first-graders presented with several single-digit, multiple addend addition problems. The changes in students' solution strategies over the…

Analyzing student work can help teachers improve the teaching and learning of mathematics. Fortunately, the four authors have experienced professional development that supports teachers' professional growth and provides tools to begin the challenge of analyzing student work. However, as they began to assume leadership roles in their schools and…

The paper discusses the results of a research project based on the field testing of a course aimed at developing arithmetic problem solving skills in primary school pupils. The course was designed to incorporate e-learning techniques, including the use of ARI@ITALES authoring tools. These tools allowed the integration in the course of…

Six elementary-age children with learning disabilities were found to learn subtraction facts more rapidly when a rule teaching and correction strategy was employed, compared to learning facts by rote. A study of generalization of rule usage found that the two children studied did generalize the strategy to an additional problem. (Author/JDD)

This study, involving 9 students (ages 8-11) with learning disabilities, found that 1 session of self-instruction training was not sufficiently powerful for students to learn a strategy for solving arithmetic problems, but a second session and access to tape-recorded cues resulted in improved performance. Effects did not generalize to student…

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)

In early years' (primary grade) classrooms in Australia repeated patterns are commonly explored as an early introductory activity to mathematics. Most young students have an extensive knowledge of and exhibit success in copying, continuing, creating and transferring patterns into other media. By contrast, research indicates one of the most…

This book contains materials to present mathematics concepts using cooperative learning activities. The first section explains how to make cooperative learning part of the mathematics curriculum. It includes an overview, instructions, activities for introducing cooperative learning to students and parents, guidelines for setting up groups, ideas…

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…

A demonstration-plus-feedback technique was applied in an attempt to reduce the systematic inversion errors in subtraction in nine learning disabled students (ages 9-11 years). Journal availability: see EC 112 927. (DLS)

The impact of summer vacation on the reading and arithmetic skills of 166 learning disabled pupils (6 to 11 years old) was examined. Ss included pupils in resource programs or special classes. Analysis of scores on the Wide Range Achievement Test (reading and arithmetic subtests) before and after summer vacation revealed significant differences in…

A study used the naturalistic method of inquiry in order to investigate the CAI (Computer Assisted Instruction) contribution to students' performance in arithmetic and to identify possible problems. The study was aimed at understanding the holistic environment of students' individualized drill in arithmetic with the computer. (BS)

Discusses examples of children's invented equal-sharing strategies that lay a foundation for reasoning about equivalence by connecting ideas from multiplication, division, and fractions. (KHR)

Recognition of the importance of (special) children's learning of mathematics in an active fashion has increased rapidly since the beginning of the 1980s. This book presents current ideas and trends in the teaching of mathematics and aims at giving an overview of new developments in the field of (special) mathematics and showing how researchers…