THIS BOOK IS A COLLECTION OF MATERIALS AND IDEAS ABOUT THE NEWER METHODS OF MATHEMATICS TEACHING BY A GROUP OF TEACHERS AND STUDENT-TEACHER LECTURERS. REPORTS FROM ACTUAL LESSONS AND VARIED ILLUSTRATIONS OF CHILDREN'S WORK MAKE UP A SIGNIFICANT PORTION OF THIS BOOK. THE MATHEMATICS IS PRESENTED IN A STYLE AND MANNER WHICH ENCOURAGES THE READER TO…

This study was designed to answer two questions: (1) Is it possible for children at the sixth grade level to learn certain types of mathematical relations? If so, how well can they apply their learning to new situations, and (2) is there a possibility of predicting success in learning mathematical relations by analyzing the pupils' achievement on…

The results of a careful and systematic reanalysis of the data of almost 100 comparative studies of different college teaching methods are reported. No shred of evidence was found to indicate any basis for preferring one teaching method over another as measured by the performance of students on course examinations. Underlying all theories…

This study attempted to determine (1) the nature of the influences conditioning college mathematics, (2) the impact of these influences, and (3) the changes which seem to have resulted during three chronological periods from 1890 to 1945. For each period of the study certain basic questions were investigated (1) learning theory in the teaching of…

As preliminary steps in a larger study of how students learn mathematics, two pilot studies were made of the relation between study behavior and achievement. An analysis of the literature showed a lack of descriptive studies including both the study habits and the amount of study time. Forty-six first-year mathematics students were interviewed…

A survey of staff and student attitudes toward selected innovative approaches to learning that had been in operation for four years was conducted. The population surveyed comprised the entire Bettendorf, Iowa, Middle School staff and student body. Questionnaires were developed to elicit pertinent staff and student opinions toward (a) space…

The selections in this book discuss a wide variety of elements that enhance or inhibit the learning process, from areas of individual physical and mental health to the teaching media available in the classroom. Throughout the book the individual student is viewed in relation to the classroom or sociological group, the teacher, and/or the…

Reported is an experiment designed to (1) test the effect of teaching certain concepts of logic on verbalization of discovered mathematical generalizations, (2) prepare a research population which has demonstrated the ability to verbalize newly discovered mathematical generalizations with precision, and (3) test the effect of an ability to…

This paper is a report of a symposium on research in mathematical learning and teaching held during the annual meeting of the California Mathematics Council in 1966. Speakers and their topics were: Professor Frederick J. McDonald - "The Teaching of Mathematics"; Dr. John E. Coulson - "The Learning of Mathematics"; Professor Zoltan P. Dienes -…

This guide is an attempt to eliminate the need for decision makers to suffer from many of their future errors. It is an attempt to insure that the "right" decision is made the first time. Briefly, the theory is that one can learn from other peoples' experience and thus avoid making future mistakes. This volume is a guide to other…

This study examines the effects of class properties on individual learners. Subjects represented a random sample of 800 pupils in 113 Harvard Project Physics classes during 1968, and were divided into eight same-sex samples--one for each of four learning criteria. The Learning Environment Inventory was used to obtain 14 climate scores.…

To compare social versus mechanical presentation of stimulus material under prompted or trial-and-error (confirmation) conditions of learning, institutionalized educable and trainable mentally handicapped children were tested on a discrimination learning task. Results were felt to indicate that social reinforcement may not be as motivating for…