This document extracts ideas from research on the teaching of algebra and geometry which might prove useful to secondary school teachers. Part I reviews research on algebra; it is divided into sections on classroom instructional practices, cognitive factors, attitudes and affective factors, problem solving, computers and calculators, and testing…

The study involved the collection of (1) research reports, published through 1968, including journal articles and dissertation abstracts, and (2) information on developmental projects, supplemented by ERIC documents on funded research and Title III project reports. The journal articles were analyzed, categorized on ten aspects, evaluated, and…

This volume of the Final Report on the Interpretive Study of Research and Development in Elementary School Mathematics contains materials which are most appropriate for the researcher. Whether he is working at the pre-doctoral level or the post-doctoral level, the researcher has a recurrent need to know the results of previous research, and the…

To gather the information for this section, visits were made to each of ten major curriculum development projects. These were selected because of the impact which each has had on curriculum reform--past, present, and future. It was not possible to visit every project, and several of the more significant ones, such as the Greater Cleveland…

This report contains both a summary of research and an annotated list of research on the teaching of mathematics to disadvantaged pupils. Particular implications from the research summary are presented and include: (1) the disadvantaged profit from special attention, either from the teacher, the content of the program, the instructional materials,…

Research on direct instruction in mathematics is briefly summarized, with key procedures listed. (MNS)

Presents findings from mathematics education research studies which focused on manipulative materials and mathematics achievement. One study supports a previous review that lessons using manipulative materials have a higher probability of producing greater mathematics achievement than do lessons in which such materials are not used. (JN)

Developing concepts, modeling, and solving problems form the core of essential learning about addition and subtraction. That educators may make the task more difficult than necessary is the thrust of several recent studies. Highlights from these studies (with suggestions for instruction) are presented. (JN)

Research on the use of manipulative materials in teaching mathematics is briefly reviewed. Lessons using manipulative materials have a higher probability of producing greater mathematics achievement than do lessons in which materials are not used. (MNS)

Research on students' attainment on multiplication facts, common errors, and meaningful instruction is briefly cited in this review. (MNS)

Research on computational estimation is presented. Key processes used by good estimators and characteristics of good estimators are included as well as other research findings. (MNS)

Research findings on children's understanding of fractions, gleaned from interviews, are briefly noted. (MNS)

Research on homework in mathematics is briefly reviewed, with the conclusion that homework may be useful since it may increase achievement but won't decrease it. Specific suggestion for planning homework are included. (MNS)

This brief review of research on calculators indicates that they will not harm achievement and that they are helpful in problem solving and for teaching other mathematical ideas. (MNS)

This bulletin focuses on three developments related to evaluation. First, the plans and initial work of the Mathematical Sciences Education Board, formed in 1985, are described. The Board's goals, its view of the major challenges in mathematics education facing the nation's schools, and its plans are discussed. The development of a design for…