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…

Investigated what effects two instructional strategies (related to student use of manipulative materials) would have on second-grade students' (N=96) development of logical structures. Also examined the effects of sex on logical development. Results indicate that supplying manipulative materials alone is not adequate in promoting development of…

Secondary teachers in a workshop on overcoming computer and math anxiety and students in a programming course were given measures of anxiety and achievement. Low mathematical ability and coursework were related to math and computer anxiety and negative attitudes. Attitudes improved for the teachers but not the students. (MNS)

Fourth-grade students' understanding of the order and equivalence of rational numbers was investigated in 132 interviews during an 18-week teaching experiment. Six children were instructed individually and as a group at two sites, with instruction relying heavily on manipulative aids. Strategies used to compare fractions were identified. (MNS)

This paper discusses the results of questionnaires sent to principals and teachers on the subject of manipulatives, computer, and calculator availability and use in the classroom. The study was done in order to develop a better understanding of teachers' inservice needs. Results of the study include: (1) most teachers have at least some…

Reports a study that compared the effects of three methods of instruction, use of hands-on activities, hands-on activities in combination with computer-assisted instruction (CAI), or text-based activities, on student achievement and attitude. Results indicated students receiving a combination of hands-on activities with CAI scored significantly…

This study explored the effects of a left-hemispheric, right-hemispheric, or integrated teaching approach on students' achievement and attitudes. One hundred eighteen second-grade pupils were randomly assigned to four groups to receive two weeks of instruction on geometry and measurement with: (1) a formalized, structured-textbook approach; (2) a…

Children in grades four and five had instruction on fractions with a continuous manipulative aid to help transfer their knowledge to tasks with a discrete manipulative aid. Results suggest that discrete-embodiment tasks are more difficult than continuous-embodiment tasks. (MNS)

This report summarizes the data from a comparative study of grades 2 and 5 mathematics instruction and the use of Developing Mathematical Processes (DMP) in IGE and non-IGE settings. These results are part of a five-phase evaluation of the IGE system of elementary schooling. Use of DMP and reported adoption of IGE were not found to be good…

This paper is a summary of much of the available research on college science laboratory instruction of the past decade with a focus on the effects of specific laboratory teaching strategies upon student learning outcomes. Some tentative interpretations from a review of the literature found are: (1) inquiry or investigative approaches in college…

Reasons for poor performance in mathematics by students in the United States are discussed. According to the authors, too many students never experience arithmetic at a physical, concrete level. Students are drilled in arithmetic facts without any meaningful context and are given few opportunities to use numerical concepts in real-life…