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…

This report explains the following mathematical techniques which may be used for relating search requests to documents contained in a library: (1) Boolean Algebraic Retrieval, (2) Linear Statistical Retrieval, (3) Statistical Association Techniques for expanding a query and/or for expanding the set of retrieval documents, (4) Vector Space…

To test whether the process of learning mathematics involves the effect of a hierarchical concept (as opposed to a "snowball" effect, in which one set of concepts becomes the basis for a new set), a matrix of correlations of progress test scores from a self-instructional high school algebra course was analyzed. The form of the matrix did not…

This booklet, one of a series, has been developed for the project, A Program for Mathematically Underdeveloped Pupils. A project team, including inservice teachers, is being used to write and develop the materials for this program. The materials developed in this booklet include (1) number expressions, (2) symbols and ideas, (3) open equations,…

This text is an integrated presentation of a second year course in algebra and trigonometry and digital computer modeling techniques using the programming language BASIC. Computer concepts are used directly with the mathematics throughout the text. No attempt is made to develop especially proficient programmers, but rather to present computer…