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…

Five activities involving an array of numbers called an even triangle are given. Properties of the triangle are listed and some generalizations are proven. (MP)

Performance of over 200 third and fourth graders on a post test and a two-month follow-up measure showed that groups receiving lessons based on a task analysis instructional design performed significantly better than groups receiving placebo lessons at two levels of advanced mastery for the concepts, "equilateral triangle" and…

Using a pegboard and different colored pegs, students were able to visualize mathematical concepts, generate and solve problems, and test hypotheses. Illustrations included. (MA)

Paper squares, each divided into eight congruent triangles, can be used in a variety of activities introducing ideas related to symmetry, pattern, and geometric transformations. (SD)

Explains the use of the 3-dimensional analytic geometry method to find values for a field geology problem. Gives a description of the mathematical theory for this method which can be applied to data obtained by drilling as well as open surfaces, and a computer program. (RT)

Description of the field of robotics and its possible use in high school computational geometry classes emphasizes motion planning exercises and computer graphics displays. Eleven geometrical problems based on robotics are presented along with the correct solutions and explanations. (LRW)