The aim of this report is to suggest aspects of mathematics education that should be incorporated into curricula rather than to outline specific courses of study. General recommendations are made regarding curriculum, instructional methods, and textbooks. The suggestion that graphs and relations to be used as a unifying theme is followed by…

Discussed in this booklet are curricular experiments; methods for teaching concepts, principles, and skills; guided discovery strategies; programed text materials; computer-based instruction; and culturally disadvantaged students. Pertinent research results are included in the discussion of each topic. (DT)

This textbook is intended to provide the requisite mathematical background for an introductory college course in general physics. The topics covered are: Numbers and Units; Experimental Error; Basic Algebra, Geometry and Trigonometry; Functions and Graphs; Vectors; The Slide Rule; and Physical Units and Conversions. Where possible, mathematical…

The purpose of this study was to confirm or deny Carry's findings in an earlier Aptitude Treatment Interaction (ATI) study by implementing his suggestions to: (1) revise instructional treatments, (2) improve the criterion measures, (3) use four predictor tests, (4) add time to criterion measure, and (5) use a theoretical model to identify relevant…

This book is designed to assist curriculum developers by presenting a survey of new approaches to teaching mathematics, both in practice and theory; the emphasis is on the secondary level. Following an extensive introduction, the first three chapters focus on the classroom. Suggested treatments of topics such as logic, groups, reflections…

This is volume five of a series produced by the New York State Education Department. Originally developed by four local school districts, the mathematics objectives and sample items are not intended to be official or comprehensive, but to be an aid to teachers in constructing curricula and in making classroom goals clear and precise. The document…

This guidebook covers Boolean algebra, matrices, linear transformations of the plane, characteristic values, vectors, and algebraic structures. Overall course goals and performance objectives for each unit are specified; sequencing of units and various time schedules are suggested. A sample pretest and posttest are given, and an annotated list of…

This study was a formative evaluation of an evolving preservice teacher education program in secondary mathematics education at The Ohio State University. The first quarter of the program was an intensive block of pre-student teaching experiences, including four weeks at an inner city school and four weeks at a suburban school along with campus…

This eleventh unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 9. First a general overview of the entire FIRST COURSE IN ALGEBRA (Units 9 and 10) is provided. Then, a time allotment for each of the chapters in Unit 9 is suggested. For each of the chapters in Unit 9, the goals for that chapter are discussed,…

This twelfth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 10. For each of the chapters in Unit 10 the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are provided, the answers to exercises are listed, and sample test questions for that chapter are suggested.…

This fifteenth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 13. A time allotment for each of the chapters in Units 13 and 14 is suggested. Then, for each of the chapters in Unit 13, a guide for the selection of problems is provided, the goals for that chapter are discussed, the mathematics is explained,…

This sixteenth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 14. For each of the chapters in Unit 14, a guide to the selection of problems is provided, the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are given, the answers to exercises are listed, and…

Unit 21 in the SMSG secondary school mathematics series is a student text covering the following topics in elementary functions: functions, polynomial functions, tangents to graphs of polynomial functions, exponential and logarithmic functions, and circular functions. Appendices discuss set notation, mathematical induction, significance of…

This booklet contains copies of the two major presentations at the SMSG Conference on Future Responsibilities for School Mathematics: "A History of Attempts to Improve School Mathematics in the United States" (Phillip S. Jones), and "The Future of Mathematics Education in the United States" (Marshall H. Stone). A summary of the…

A computer program developed by a high school student approximates the value of "e" by computing partial sums of the defining series. (SD)