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 annotated bibliography lists research related to mathematics teaching and learning published in the United States in 1972. Each annotation gives major results and grade level of the study. The first section lists research summaries which review groups of research studies. The second section contains research reports which appeared in major…

An annual annotated listing of research summaries, journal-published reports, and dissertation abstracts published in the United States which pertain to mathematics education and which have some implication either for school mathematics programs or for instruction. (DT)

This booklet consists of 11 bulletins designed to answer questions which teachers frequently ask about the learning and teaching of mathematics. (The bulletins are revisions of a set originally published in 1970.) Each bulletin is organized around a central topic, and presents questions related to that topic, summaries of research findings…

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…

Research investigating the performance of students in grades 4 through 7 on varying items involving the distributive property is reported; results, showing low performance levels, are analyzed. (DT)

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…

The ability of 135 first, second, and third grade classes to solve open sentences involving sums between 10 and 18 was investigated. Performance appeared to be related to grade level, operation, the position of the placeholder, and the existence of a solution within the set of whole numbers. (Author/DT)

The author describes an experiment to compare performance of grade 1-3 children on the various types of open sentence associated with basic number facts, and suggests some explanations for the results obtained. (MM)

Research on mathematics learning is integrated and organized around groups of questions emerging from the primary classroom. Subjects covered include attitudes, diagnosis, readiness, effective use of concrete and manipulative materials, the role of language and vocabulary, presentation of specific content and techniques, selection of algorithms…

Refinements of work with calculator algorithms previously conducted by the author are reported. Work with "chaining" and the doing/undoing property in addition and subtraction was tested with 24 third-grade students. Results indicated the need for further instruction with both ideas. Students were able to manipulate the calculator keyboard, but…

This study focused on (1) the relation or transition between the measurement and partitive settings for division, and (2) the study of these two interpretations in general case where the remainder is not necessarily zero. Ninety-four second-grade pupils from four classrooms (two in each of two schools) were presented, through individual…

This report brings together in a single source observations and materials of instructional importance in calculator explorations with seventh-grade students from 1976 through 1978. Students used algebraic-logic calculators with no operational hierarchies. At the end of the school year, students were introduced to reverse Polish notation-based…