This study provides an integrated investigation of creative thinking, mathematical and nonmathematical problem solving, and transfer of training among secondary-school students. Fifty-two geometry students participated in a two-week Divergent Thinking Activities program developed by the experimenter. In addition to this group, 30 geometry students…

Written in 1933, this book grew out of the author's concern that college matehmatics sequences of the day, although appropriate in algebra preparation, did not adequately prepare teachers of geometry. This book describes a course intended to remedy this by providing for both a comprehensive study of geometry as an axiomatically defined structure…

An assessment was made of the psychometric and educational quality of all high school level tests of general mathematics, applied mathematics, algebra and geometry. The study was part of a large-scale project involving evaluations of all standardized secondary school tests available in the United States. Assessments revealed most tests to be low…

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. Problems in this volume require the computation of square roots,…

This document is one of six which set forth the mathematics components of the Project SEARCH Articulated Curriculum developed by the Utica (New York) City School District. Each volume deals with a broad area of mathematics and lists objectives related to that area for all grades from K through 12. Each objective listed is described first in…

This yearbook presents many aspects of mathematics learning by children between the ages of three and eight. Addressed to teachers of primary school children, the book begins with chapters discussing learning and cognition, the primary curriculum, and research on mathematics learning at this age level. Eight subsequent chapters deal with the…

The guide, the product of an exemplary career education program for junior high school students, was developed to show how geometry can be applied to real-life career-oriented areas and to bring a practical approach to the teaching of geometry. It is designed to show how some of the theorems or postulates in geometry are used in different careers.…

The purpose of this study was to determine students' attitudes toward mathematics as a result of two instructional approaches in high school geometry. Seventy-five tenth and eleventh graders used a computerized-managed program; the control group included 75 students in a traditionally taught geometry course. Ideas and Preferences Inventory, Form…

Behavioral objectives for grades 10 through 12 are specified for plane geometry, algebra, general mathematics, computer mathematics, slide rule mathematics, basic college mathematics, trigonometry, analytic geometry, calculus and probability. Most sections present material in terms of portions of a school year. At least one major objective is…

Included are abstracts of 16 research reports which were published in at least one of four periodicals within the first six months of 1968. The abstracts included in this issue have been grouped in four sections. The investigations reported by Schell, Grafft and Ruddell, and Sister Mary G. Schaefer are concerned principally with learning,…

The purposes of this study were (1) to identify and compare the effect on student achievement of an individualized computer-managed geometry course, built on behavioral objectives, with traditional instructional methods; and (2) to identify how selected individual aptitudes interact with the two instructional modes. The subjects were…

The purpose of this study was to design a series of inservice seminars with teaching guides in geometry for fifth and sixth grade teachers in order to improve student competence in geometry. The guides stressed the use of a discovery approach. Twelve teachers and 293 children participated. Students took a pretest in geometry, the teachers attended…

THIS TEXT ON ANALYTIC GEOMETRY AND CALCULUS IS A CORRESPONDENCE COURSE DESIGNED FOR ADVANCED PLACEMENT OF HIGH SCHOOL STUDENTS IN COLLEGE. EACH OF THE 21 LESSONS INCLUDES READING ASSIGNMENTS AND LISTS OF PROBLEMS TO BE WORKED. IN ADDITION, SUPPLEMENTARY EXPLANATIONS AND COMMENTS ARE INCLUDED THAT (1) PROVIDE ILLUSTRATIVE EXAMPLES OF CONCEPTS AND…

TWO METHODS OF RESPONSE DESCRIBED BY PIAGET AND INHELDER FOR DRAWING APPROPRIATE BOUNDARIES AND SELECTING APPROPRIATE PREDRAWN BOUNDARIES FOR HYPOTHETICALLY CUT, SOLID GEOMETRIC FIGURES WERE INVESTIGATED TO SEE WHETHER SECONDARY SCHOOL STUDENTS COULD RESPOND IN APPROPRIATELY TO THE MATHEMATICAL TASKS. THE RESPONSES OF 8TH-, 10TH-, AND 12TH-GRADE…

Seven papers presented at a research conference on space and geometry are contained in this monograph. The first paper gives an historical sketch of the development of geometry and discusses several considerations for selecting geometric content for the elementary school. Two papers deal with Piaget's research into the child's development of space…