A report of research on children's difficulties in learning the concept of function. (MM)

Functions with a variety of properties (sets of discontinuities, unbounded derivations, etc.) are discussed. (SD)

The teacher's guide for the first unit of this SMSG series covers the two chapters on elementary geometry and on functions. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral objectives are stated, and a time…

A geometric approach to the solution of quadratic equations and more general polynomials is based on finding points with minimum distance from the x-axis. The approach is useful in motivating the definition of complex numbers. (SD)

Theorems about the hyperbola which are ordinarily introduced in calculus courses can be proved without using the calculus. (SD)

This is part one of a three-part SMSG calculus text for high school students. The aim of the text is to develop some of the concepts and techniques which will enable the student to obtain important information about graphs of elementary functions. Chapter topics include: (1) polynomial functions; (2) the derivative of a polynomial function; and…

This is part three of a three-part SMSG calculus text for high school students. The aim of the text is to develop some of the concepts and techniques which will enable the student to obtain important information about graphs of elementary functions. Chapter topics include area and the integral, differentiation theory and technique, mathematical…

This SMSG series of 14 student texts was intended to be a curriculum devoted to those mathematical concepts which all citizens should know. The first unit of this series includes a chapter on elementary geometry concepts (points, lines, planes, intersections, betweenness, separation, angles, and introductory coordinate geometry) and a chapter on…

By changing the Euclidean metric definition, a new geometry is developed. Properties of figures are analyzed and theorems are proven in this new system. (DT)

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include sets, definition and graph of a function, constant, linear and absolute-value functions,…

As one way of applying and enriching mathematics instruction through integration with science, four mini-projects'' are briefly presented. The three topics are oil molecule estimation, animal classification, graphing and genetic sequences. (MS)

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include order on the number line, properties of order, solution of inequalities, and graphs of open…

This guidebook on minimum course content for a study of statistical measures is designed to develop students' appreciation of the role of statistics in everday living. The primary emphasis is on activities centered on the collection and organization of data from daily happenings. Overall course goals are specified, a course outline and suggested…

Part of a series of four pamphlets providing real-life problems in probability and statistics for the secondary school level, this booklet shows how to organize data in tables and graphs in order to get and to exhibit messages. Elementary probability concepts are also introduced. Fourteen different problem situations arising from biology,…