This is the second of the six guidebooks on minimum course content for first-year algebra; it includes the ordered field properties of the real number system, solution of linear equations and inequalities, verbal problems, exponents and operations with polynomials. Overall goals for the course are stated; performance objectives for each unit, a…

This is the fourth of six guidebooks on minimum course content for first-year algebra; it includes first degree equations involving absolute value, radicals, various approaches to solving quadratics, and problem solving with quadratics. After course goals are stated, a listing of performance objectives, a course outline, textbook references, and…

This is the first of eight guidebooks for a course designed for the junior high student preparing for algebra. The booklet includes place value, expanded numerals, exponents, and elementary set theory. General goals and performance objectives, a course outline, and sample posttest items are given. (DT)

The second in a four-part sequence for the student seeking Advanced Placement, this booklet emphasizes theory and applications of the derivative and the definite integral. Overall goals and performance objectives are speficied. A course outline, teaching suggestions, and references to state-adopted texts are given for each topic covered. A sample…

This is the first of six guidebooks on minimum course content for first-year algebra; it introduces the language of sets, the fundamental operations and properties of the real number system, the use of variables, and the solution of simple linear equations and inequalities. Overall goals for the course are stated; then performance objectives, a…

The first of a two-part sequence for the student who has had difficulty in second-year algebra, this booklet covers definitions and measurement of angles (in degrees and radians), the trigonometric functions, solving trigonometric equations and graphing functions, identities, and computation with base ten logarithms. Overall goals for the course…

This booklet is the second of a two-part sequence of minimum content for trigonometry. It includes sum, difference, double-angle, and half-angle formulas; Law of Sines; Law of Cosines; inverse trigonometric functions; polar coordinates; and DeMoivre's Theorem. Goals, performance objectives for each unit, a course outline, references to…

The reorganization of the traditionally separated branches of mathematics into a unified single study is discussed in this report. First, significant events from 1800 to 1950 in the field of creative mathematics that led to the contemporary view of the nature of mathematics are highlighted. This review is followed by a discussion of significant…

Unit 10 in the SMSG's secondary school mathematics series is a student text covering the following topics in Algebra I: factors and exponents, radicals, polynomial and rational expressions, truth sets of open sentences, graphs of open sentences in two variables, systems of equations and inequalities, quadratic polynomials, and functions. (DT)

Unit 13 in the SMSG secondary school mathematics series is a student text covering the following topics in geometry: common sense and organized knowledge; sets, real numbers, and lines; lines, planes, and separation; angles and triangles; congruences; proof; geometric inequalities; perpendicular lines and planes in space; parallel lines in a…

Unit 14 in the SMSG secondary school mathematics series is a student text covering the following topics in geometry: areas of polygonal regions, similarity, circles and spheres, characterization of sets, constructions, areas of circles and sectors, volumes of solids, and plane coordinate geometry. Appendices cover Eratosthenes' measurement of the…

This twenty-fourth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 23. For each of the chapters in Unit 23, a time allotment is suggested, the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are given, and answers to exercises are provided. In the appendix is a…

Graphs of exotic functions which can be defined using algebraic operations are discussed. (SD)

In this speech before the Australian Association of Mathematics Teachers, the author discussed educational issues in the United Kingdom in relation to seven programs in mathematics curriculum development. (SD)

When two methods of transforming numbers from one base to another were taught sequentially, the first interfered with learning of the second. (SD)