Lists references of 16 research summaries, 152 articles, and 220 dissertations alphabetically by author within each category. Provides the grade or age level for each reference. A brief abstract is presented for most of the references. Journals searched and author index by content are included. (YP)

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?…

The Interpretive Study of Research and Development in Elementary School Mathematics was designed to attack the problem of applying research in the classroom by providing a compilation of the research and a synthesis of the findings. The purpose of Phase II of the Study was to develop materials which could be readily used and disseminated. A set of…

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 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…

This document consists of six reports on literature published in the United States each year from 1969 through 1973 on the pedagogy of mathematics. These reports were prepared for the German publication, ZENTRALBLATT FUR DIDAKTIK DER MATHEMATIK. In each report, the literature is briefly reviewed under five categories: mathematics textbooks for…

The paper presents a review of research concerned with mathematics and the disadvantaged youth--both environmentally and academically disadvantaged (low achiever, slow learner, underachiever). It is concluded that: (1) in general, mobility has not been found to affect achievement significantly, (2) programed instruction materials do not produce…