THIS WORKBOOK FOR TEACHERS IS CONCERNED WITH IDEAS AND CONCEPTS THAT WERE CONSIDERED IN A JUNIOR HIGH SCHOOL MATHEMATICS PROGRAM. THE ORGANIZATION WAS DETERMINED BY TWO MAJOR GOALS--(1) TO PROVIDE AN INSERVICE TRAINING WORKSHOP WHICH WOULD BE OF IMMEDIATE USE TO THE JUNIOR HIGH SCHOOL MATHEMATICS TEACHER, AND (2) TO PROVIDE THE TEACHER WITH AN…

THIS TEACHING GUIDE IS THE FOURTH OF FIVE EXPERIMENTAL EDITIONS CONTAINING MATERIALS AND METHODS FOR TEACHING A REVISED MATHEMATICS PROGRAM IN GRADE 9. BACKGROUND MATERIAL FOR TEACHERS AS WELL AS QUESTIONS AND ACTIVITIES FOR CLASSROOM PRESENTATIONS ARE PROVIDED IN THE CONTENT AREAS OF (1) OPEN SENTENCES IN TWO VARIABLES (UNIT 10) AND (2) RELATIONS…

The effect of a meaningful instructional context and practice variety on rule retention was investigated. One hundred high school students participated. The design was a 2 by 3 completely randomized factorial design. The instructional context factor had two fixed levels: context and rule. The practice variety factor had three fixed levels: broad-,…

This is unit thirteen 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 approximations, solution sets of mathematical sentences, and quadratic functions. (MP)

This is part one of a three-part SMSG calculus text for high school students. The aim of the text is to develop some of the concepts and techniques which will enable the student to obtain important information about graphs of elementary functions. Chapter topics include: (1) polynomial functions; (2) the derivative of a polynomial function; and…

This is part three of a three-part SMSG calculus text for high school students. The aim of the text is to develop some of the concepts and techniques which will enable the student to obtain important information about graphs of elementary functions. Chapter topics include area and the integral, differentiation theory and technique, mathematical…

This is part two of a three-part SMSG algebra text for high school students. The principle objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure exhibited by the real number system, and the use of this structure as a basis for the techniques of algebra. Chapter topics include…

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

THIS BIBLIOGRAPHIC GUIDE IS INTENDED TO AID NEW YORK STATE SCHOOLS IN IMPROVING THEIR COLLECTION OF REFERENCE MATERIALS FOR ADVANCED PLACEMENT COURSES. MOST OF THE BOOKS AND PERIODICALS LISTED ARE APPROVED FOR 50 PER CENT REIMBURSEMENT UNDER THE NATIONAL DEFENSE EDUCATION ACT TITLE III ACQUISITION PROGRAM. MATERIALS ARE LISTED IN TWO GROUPS. THE…

Described is the development of an approach to the algebra of real numbers which includes three areas of mathematics not commonly found in grade 9--the theory of limits of infinite sequences, a frequent use of Cartesian co-ordinates, and algebra of matrices. Seventy per cent of the course is abstract axiomatic algebra and the remaining portion…

Coding systems need to be developed to account for computer decisions on every frame of a self-instructional program. In flow charts of the UICSM high school math programed series, each frame or page is represented by a diagramatic convention: diamond if a mainline frame, a rectangle if a quiz frame, a bottom-heavy trapezoid if a review or…

This study was designed to evaluate the effect of the use of mathematical logic in high school geometry on (1) achievement of students in geometry, (2) achievement of students in reasoning in geometry, (3) critical thinking of students, and (4) attitude of students toward logic deduction, and proof in mathematics. The experimental group of six…

This guide for teachers of mathematics in the Career Guidance Program has been designed to help to develop a new interest in education for pupils who have at some point in their career lost interest in academic learning. The program was organized for the ninth grade, since this was the terminal year of the junior high school and since at this time…

This study explored: (1) the opinions of secondary and postsecondary faculty on what ought to be included in the secondary geometry curriculum to prepare students for selected postsecondary courses, (2) the effect of feedback of participants' responses, and (3) the reasons given by the participants to support their judgments. The original sample…

This study explores the relationships between patterns of grouping students for mathematics instruction and students' achievement and perception of learning environment. One hundred ninth-grade minority students were involved in the study. These students' scores on the Numerical Ability Subtest of the Differential Aptitude Test were used to group…