This is part two of a two-part manual for teachers using SMSG high school text materials. A chapter-by-chapter commentary on the text and answers to all the exercises are given. Chapter topics include: (1) area and integral; (2) basic integral theorems; (3) logarithmic and exponential functions; (4) growth, decay and competition; and (5)…

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 two of a two-part manual for teachers using SMSG high school text materials. The manual contains a chapter-by-chapter commentary on the text, solutions to the problems in the text, and a collection of essays on topics related to material in the text. Chapter topics include: (1) perpendicular lines and planes in space; (2) parallel…

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)

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 curriculum guide for general mathematics consists of the development of a number of basic concepts which are chosen because of their relevance to problems of applications. These concepts are classified under the following strands--(1) concept of number, (2) concepts basic to operations, (3) concepts of percent and percentage, (4) concepts…

This study has been undertaken for the purpose of encouraging secondary school mathematics teachers and curriculum workers to focus increased attention upon the philosophical aspects of the foundations of their subject. The literature was searched and fundamental concepts in mathematics, which were judged to have philosophical bases and which were…

This study attempted to develop a system for analyzing the processes students use in solving work problems and to investigate the relationships of these processes to other behavioral measures. The subjects in this study were 56 students of both sexes who had above average mental ability and who had just completed the eighth grade from two junior…

This project report is concerned with the varied activities of the School Mathematics Project (SMP) for 1966-67. The activities reported on include (1) the publication program of students' texts and teachers' guides, (2) the development of texts and examinations for the Main-school course, the O-level course, and the A-level course, and (3) the…

This manual outlines the nature of some of the major curriculum projects in mathematics and lists materials which are available from these projects. An introductory statement concerning the history and philosophy of each program is indicated. The curriculum projects reported on are: (1) Boston College Mathematics Institute, (2) Cambridge…

The main objective of this project was to develop effective multi-sensory aids for individual use by high school students who have not achieved a functional mastery of mathematics. Nineteen audiovisual devices directed specifically at the low achiever were developed from three specific devices--audio tape, audio tape with slides, and video tape.…

A new one-semester course in geometry was designed, less axiomatic in structure yet including content traditionally contained in a first course in geometry. Conducting original investigations, constructing definitions, developing arguments to explain relationships, and creating resource materials are additional objectives, with many experiences in…

Students who behave as though an equation (function) is unchanged by a transformation of variable are said to conserve equation (function). Tasks devised to test for conservation of equation and function were administered, along with typical Piagetian tasks, to 72 students, aged 12, 14, and 17. Results suggest that conservation of equation,…

Two issues of the Soloworks newsletter contain information about the Soloworks project, computer equipment, and the educational philosophy that underlies the student-controlled computer based approach to secondary school mathematics instruction. (JY)