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)

Some research indicates that students often think that their drawings of three dimensional objects can be done without ambiguity, and that properties of drawings are properties of the objects. This "knowing vs. seeing" conflict was studied in three French sixth grade classes. (PK)

Described are ways teachers who are familiar with Logo can employ some special procedures (or programs) that allow students to explore and use traditional geometric topics within the context of the environment of Logo. The procedures are called MATHSTUFF and allow many traditional pencil-and-paper activities for middle and junior high school…

Three geometry games are presented. For each game, the game itself and the instructional objectives are discussed. (PK)

Argues that geometry games are potentially effective instructional activities for all grade levels--even high school. Three games and some suggestions for varying the games are presented. (PK)