There is no unique solution to teaching problems--different situations require different techniques. (MM)

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…

Mathematics education research from fourteen studies is abstracted and critiqued in this publication. Six cover aspects of instructional practice, four deal with points in learning theory, two with problem solving, and one each with calculators and sex differences. Research in mathematics education as reported in CIJE and RIE from October to…

These two bulletins list references on the uses of calculators in education. They were published in April and October 1982 to provide teachers and other interested persons with sources of information about calculator activities and research findings. Sections list references on activities for students, K-12; research reports, K-12; miscellaneous,…

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…

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 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…

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

Research related to mathematics education which was reported during 1974 is listed. Brief annotations are provided for journal articles and dissertations. (SD)

This bulletin provides a review of research studies which relate to the uses of instructional materials and media in elementary school mathematics. The studies cited pertain to the following questions: (1) What may we learn from analyses of mathematics textbooks? (2) Does programmed instruction facilitate achievement? (3) What other factors have…

This bulletin gives an overview of research studies which pertain to the verbal problem-solving ability of elementary school children. Studies included relate directly to the following questions: (1) What factors are related to problem solving ability? (2) What are the characteristics of good problem solvers? (3) How important is reading to…

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…

This newsletter summarizes findings from the research on secondary school mathematics published during 1972 that might be used by teachers. Covered is research on the role of materials, mathematics laboratories, computers and calculators, informing students of objectives, student computational achievement, course organization patterns, personality…