This study compares the postulational approach to tenth grade geometry by three textbooks: one synthetic, one transformational, and one vectional. The development of incidence, order, distance, separation, congruence, parallelism, and similarity are discussed, and the different approaches illustrated. Special consideration is given to theorems in…

This workbook for elementary teachers presents basic definitions and examples in the areas of set theory, numeration systems, fundamental operations and geometry. Text organization does not use programming frames. Answers to examples are included in a separate section. (DT)

Unit 17 in the SMSG secondary school mathematics series is a student text covering the following topics: number systems, coordinate geometry in the plane, the function concept and the linear function, quadratic functions and equations, complex number systems, equations of the first and second degree in two variables, systems of equations in two…

These materials, used in a self-paced course in engineering descriptive geometry for freshman and sophomore college-level students, cover three modules: basic spatial relationships; intersections, parallelism, and perpendicularity; and graphic analysis and development. Each module contains five instructional units. Each unit includes a rationale,…

A series of questions can be posed and resolved in the process of teaching that the decimal expansions of rationals are terminating or repeating. (SD)

The elementary school teacher's need for experience with geometry is described, and a series of topics which might be used in mathematics courses for elementary school teachers is offered. (SD)

The "geometry of distortion" and some prestidigitation show kids that lines, surfaces, and planes are not always what they seem. (Editor)

The author organizes some of the information known about the problem of dividing space by five planes in general position along with its extensions, and consolidates it to highlight some interesting patterns in both methods of solving analogous problems and their results. (MN)

A number of outdoor practical activities involving measurement and shape are given. (DT)

Three activities are provided for introducing career education into the mathematics classroom as well as the rationale for doing so. (JT)

The author addresses the issue of planning a sequence of lessons around a topic. He illustrates his points with a series of activities related to measurement. (SD)

The aim of this study was to gain a better understanding of the difficulties met by adults with lower levels of education on reading perspective drawings. Subjects were asked to describe verbally two perspective drawings of objects, then choose objects with defined spatial properties. Results indicated that success was an "all or…

Presented are reviews of several microcomputer software programs. Included are reviews of: (1) Microstat (Zenith); (2) MathCAD (MathSoft); (3) Discrete Mathematics (True Basic); (4) CALCULUS (True Basic); (5) Linear-Kit (John Wiley); and (6) Geometry Sensei (Broderbund). (RH)

Considers a trigonometric solution to a standard calculus minimization problem. Presents a geometric solution which can be used to solve other trigonometric or algebraic problems. (PK)

This review of research on secondary school geometry is drawn from the NCTM publication, "Classroom Ideas from Research on Secondary School Mathematics." Considered are the following topics: goals, content, time, textbook use, activity-oriented instruction, teacher communication, homework, student characteristics, proof, problem solving,…