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 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,…

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…

The purpose of this study was to determine the effects of classroom organization for instruction and final unit evaluation procedure on mathematics achievement, attitude toward mathematics, test anxiety, and the dropout and failure rate in a community college beginning algebra course. The final unit evaluation procedures were a single unit test or…

This is the fifth of six guidebooks on minimum course content for first-year algebra; it includes operations with radicals, solutions of equations involving radicals or rational expressions, the distance formula, slope, and the slope-intercept form of the equation of a line. Course goals are stated, performance objectives listed, textbook…

This is the last of six guidebooks setting minimum course content for first-year algebra; it covers algebraic and graphic solutions to systems of equations, relations and functions, and variation. After course goals are stated and performance objectives listed, a course outline, textbook references, and teaching suggestions are given. Pretest and…

Provided are the scope and sequence of mathematics topics for Grade 6 to be implemented by teachers and supervisors. The guide is presented in the form of 62 units, each being organized around the themes of (1) sets, numbers, and numeration; (2) operations; (3) geometry and measurement; and (4) algebraic concepts, graphs, probability, and…

Provided are the scope and sequence of mathematics topics for Grade 1 to be implemented by teachers and supervisors. The guide is presented in the form of 66 units, each being organized around the themes of (1) sets, numbers, and numeration; (2) operations; (3) geometry and measurement; and (4) algebraic concepts, graphs, probability, and…

Curves are considered to have the same shape when they are related by a similarity transformation of a certain kind. This paper extends earlier work on parallel curves to curves with the same shape. Some examples are given more or less explicitly. A generalization is used to show that the theory is ordinal and to show how the theory may be applied…

This study compared four instructional treatments which differed in the degree of individualization and personalization in a computer assisted instructional unit designed to teach the concept of function. The researcher developed two units and adapted the second for four types of feedback: two levels of individualization to incorrect responses and…

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 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…