This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program see ED 086 545. In this guide, the teacher is provided with objectives for…

The study compared the responses of fourth- and ninth-grade children between equivalent inference patterns in class logic and conditional logic. A testing instrument of 72 class-logic items and 72 conditional-logic items was constructed for the study. Eighty-one fourth-grade students and 67 ninth-grade students participated. Results showed that…

This third of six guidebooks on minimum course content for first-year algebra includes work with laws of exponents; multiplication, division, and factoring of polynomials; and fundamental operations with rational algebraic expressions. Course goals are stated, performance objectives listed, a course outline provided, testbook references specified…

The purpose of this study was to analyze and compare the mathematical achievement and attitude of weak mathematics students enrolled in a two-semester or three-semester ninth-grade elementary algebra course. Teaching methods and attitudes of teachers were also evaluated. The sample was 1,508 students who were enrolled in either the two- or…

This guidebook on minimum course content was designed for students who have mastered the skills and concepts of analytic geometry. It is a short course in the basic techniques of calculus recommended for the student who has need of these skills in other courses such as beginning physics, economics or statistics. The course does not intend to teach…

This is the first of six guidebooks on minimum course content for second-year albebra. A survey of the real and complex number systems, solving linear equations and inequalities in one variable, and operations with polynomials are covered in this booklet. Course goals are stated, a course outline is provided, performance objectives are specified,…

The third in a series of six guidebooks on minimum course content for second-year algebra, this booklet covers relations, functions, and solving and graphing linear equations, linear inequalities, systems of equations, and systems of inequalities. Overall course goals are specified, a course outline is provided, performance objectives are listed,…

Designed for the student who has competence in general mathematical skills and who has interest in solving practical problems, this guidebook on minimum course content seeks further development of computational and problem solving skills through the applications of trigonometry and base ten logarithms. Overall course goals are specified, a course…

Part of a series of four pamphlets providing problems in probability and statistics taken from real-life situations, this booklet develops probability methods through random numbers, simulations, and simple probability models, and presents the idea of scatter and residuals for analyzing complex data. The pamphlet was designed for a student having…

This newsletter summarizes findings from the research on secondary school mathematics published during 1972 that might be used by teachers. Covered is research on the role of materials, mathematics laboratories, computers and calculators, informing students of objectives, student computational achievement, course organization patterns, personality…

The teacher's guide for the second unit of this SMSG series covers the two chapters in Unit 2 of the student text on algorithms and flow charts and on problem formulation. 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,…

The teacher's guide for the third unit of this SMSG series covers the two chapters on number theory and on the integers. 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…

The teacher's guide for the fourth unit of this SMSG series covers the two chapters on the rational numbers and geometric congruence. 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…

The teacher's guide for the fifth unit of this SMSG series covers the two chapters on equations and inequalities and on decimals. 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…

Topics covered in the probability chapter of the sixth unit in this SMSG series of student texts are fair and unfair games, outcomes and events, tree diagrams, and finding and estimating probability. The measurement chapter includes a discussion of length, units in the British and metric systems, perimeter, angle measure, circumference,…