This bulletin provides an overview of research studies which relate to the teaching of certain mathematical topics in the elementary school. The studies cited pertain directly to the following questions: (1) What measurement and geometry is included in textbooks and programs? (2) What do children know about geometry and measurement? (3) What can…

Research on the attitudes of elementary school pupils toward mathematics is briefly summarized. Included are the points that most elementary school children like mathematics and that few differences are found between the attitudes of boys and girls. Some suggestions on what teachers can do to improve attitudes are given. (MNS)

A brief review of research is given, with points on characteristics of effective teachers. (MNS)

Reported are suggestions indicated by research studies to eight questions concerning the teaching of rational numbers. (1) Can young children learn fractional concepts? Answer: Manipulative materials are of value to learning in the primary grades. (2) How should the common denominator be determined? Answer: Both factoring and equivalent fractions…

Reported are the suggestions indicated by research studies to six questions concerning individualizing classroom instruction. (1) What factors should be considered? Answer: No one way is best, but consideration should be given to factors of achievement, interest, content, method, ability, personality, and socioeconomic status. (2) Are sex…

This "letter to teachers" suggests reasons teachers should be interested in research findings. Research findings in several areas are summarized and interpreted so that they are useful to teachers of elementary school mathematics. Among the areas that are highlighted are: (1) time allocation; (2) low achievement; (3) active teaching; (4)…

This bulletin serves as a guide to those persons interested in conducting or implementing educational research. Research is described as being "controlled inquiry", either in the form of an experiment or a survey. Descriptions are given of the procedures and complications associated with planning and initiating experimental research. A suggested…

This paper reports on the answers indicated by research studies to six questions concerning instructional planning. (1) When should we begin systematic instruction? Answer: Grade one or kindergarten. (2) How should the content be organized? Answer: A structured sequential development incorporating activities. (3) How should schools be organized?…

This annotated bibliography lists research related to mathematics teaching and learning at the elementary school level which was published during 1970. It is divided into three major sections. The first section (References) contains articles and compilations which review groups of research studies or basic research techniques. The second section…

This paper reports on the answers indicated by research studies to nine questions concerning the teaching of multiplication and division. (1) Should multiplication facts be memorized? Answer: Yes, at an appropriate time. (2) How should multiplication be conceptualized? Answer: Normally addition of equal addends; sometimes arrays or…

Reported are the suggestions indicated by research studies to seven questions concerning what is known about the teaching and learning of mathematics. (1) What factors influence the learner's achievement? Answer: Age, intelligence, and the amount of structuring present in the materials. (2) Are there guides for motivation? Answer: Games, concrete…

Some findings from research on problem solving are briefly summarized. (MNS)

A collection of statements written about the teaching of elementary school mathematics from various textbooks written during the past hundred years. (RP)

Provided is an annotated bibliography of reports of various development and research activities in this country since 1957. Reports of Title III projects and of additional documents announced by the ERIC System are summarized. A list of curriculum development projects is appended. (RP)