This material was prepared to help students understand the algebraic process involved in solving mixture problems. The paper copy is designed to be used with a 25-minute audiotape. Students are given a problem which is solved step by step; then they are to answer questions about each step. (MNS)

One of the recurrent themes of the psychometric literature has been the idea that the incorrect responses a person makes to test items contain information that might be useful in determining the person's position on the variable the items are intended to define. The "Partial Credit" model, a member of the family of latent trait models…

This two-volume set is a self-help student text designed as an alternative to the standard algebra text. Each lesson is introduced by and centered around an application of the topic under discussion. For each lesson, questions are given covering the reading, testing understanding of the reading, and for discussion. Some sections contain questions…

This is part one of a two-part SMSG Programed Algebra Text for high school students. The general plan of the course is to build upon the student's experience with arithmetic. The student is initially led to extract from his or her experience the fundamental properties of addition and multiplication. The text then introduces negative real numbers…

This is part two of a two-part SMSG Programed Algebra Text for high school students. The general plan of the course is to build upon the student's experience with arithmetic. This part begins with factorization of positive integers and then develops the manipulative skills of fractions, exponents, radicals, and polynomials. The text then moves to…

This is a manual for teachers using SMSG high school programed text materials in algebra. The commentary is organized into four parts. The first part contains a discussion of ways to use this programed text. The second and main part consists of a chapter by chapter commentary on the text. The third part is a listing of topics keyed to a list of…

This is the student text for part one of a three-part SMSG algebra course for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include congruence; numbers and variables; operations;…

THIS GUIDE OUTLINES THE MINIMUM MATERIAL FOR WHICH STUDENTS OF NINTH YEAR MATHEMATICS - COURSE 1 - ALGEBRA WERE HELD RESPONSIBLE ON THE REGENTS EXAMINATIONS BEGINNING IN JUNE, 1966. THE REPORT ALSO PRESENTS THE SCOPE AND CONTENT OF THE ALGEBRA COURSE AND POSSIBLE SUGGESTIONS FOR TEACHING THE MATERIAL TO STUDENTS. (RP)

THIS REPORT DESCRIBES THE PROJECTS IN COMPUTER-ASSISTED INSTRUCTION CONDUCTED AT THE STANFORD LABORATORY FOR COMPUTER-ASSISTED LEARNING AND TEACHING AND AT THE STANFORD-BRENTWOOD COMPUTER-ASSISTED INSTRUCTION (CAI) LABORATORY. THE MAJOR ACTIVITIES, WHICH ARE REPORTED FOR THE PERIOD FROM JANUARY 1 THROUGH MARCH 31, 1967, ARE RELATED TO (1) READING…

HIGH SCHOOL ALGEBRA GRADES OF 157 STUDENTS WERE BETTER PREDICTORS OF THEIR PERFORMANCE IN COLLEGE ALGEBRA (MATH 101) THAN EITHER THEIR SCHOLASTIC APTITUDE TEST-MATHEMATICS PORTION OR THEIR SEQUENTIAL TESTS OF EDUCATION PROGRESS-MATHEMATICS SUBTEST SCORES. THE AVERAGE OF THE STUDENTS' ALGEBRA I AND II GRADES SHOWED A CORRELATION WITH THEIR MATH 101…

This is unit fourteen of a fifteen-unit SMSG secondary school text for high school students. The text is devoted almost entirely to mathematical concepts which all citizens should know in order to function satisfactorily in our society. Chapter topics include statistics and systems of sentences in two variables. (MP)

This is unit fifteen of a fifteen-unit SMSG secondary school text for high school students. The text is devoted almost entirely to mathematical concepts which all citizens should know in order to function satisfactorily in our society. Chapter topics include analyzing geometric figures and measurement. (MP)

This is part two of a three-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to exercises, and suggested test questions. Chapter topics include quadratic equations, the complex number system, equations of the second degree, and systems of first degree equations. (MP)

This is part one of a two-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to exercises, and a set of illustrative test questions. Chapter topics include sets, relations and functions, polynomial functions, and algebra of polynomial functions. (MP)

FIVE DIFFERENT TEACHING STRATEGIES WERE INVESTIGATED IN UTILIZATION OF PROGRAMED INSTRUCTIONAL MATERIALS FOR FIRST-YEAR ALGEBRA. TEACHERS USED EITHER TRADITIONAL ALGEBRA OR A MODERN MATH PROGRAM. TEACHING CONDITIONS RANGED ON A CONTINUUM FROM RIGID CLASSROOM ORGANIZATION AND TEACHER-CONTROLLED STUDENT PACE TO FLEXIBLE ORGANIZATION AND…