This basic guide to a complete secondary mathematics curriculum is designed to ensure that each student will be presented uniform mathematical concepts and principles, geared to his individual needs, abilities, and interests. The guide is not planned for use with a particular textbook; instead, it is to serve as a core around which each teacher…

This study compares the cost-effectiveness of an individualized basic mathematics program with a traditional program at the junior high school level. Eighth-grade basic mathematics students (N=118) were identified in two schools. The racial and ethnic makeup, socioeconomic level of residents and school size differed between schools. Teachers were…

This guide includes a list of general objectives and a scope chart of units to be covered in grades K-12. Objectives for specific topics are listed and are coded to the scope chart; text sources and materials are suggested; and lists of learning activities and audiovisual aids are provided. Separate sections of the guide cover topics in elementary…

This SMSG series of 14 student texts was intended to be a curriculum devoted to those mathematical concepts which all citizens should know. The first unit of this series includes a chapter on elementary geometry concepts (points, lines, planes, intersections, betweenness, separation, angles, and introductory coordinate geometry) and a chapter on…

The teacher's guide for the sixth unit of this SMSG series covers the two chapters on probability and on measurement. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral objectives are stated, and a time schedule…

The first chapter of the seventh unit in this SMSG series discusses perpendiculars and parallels; topics covered include the relationship between parallelism and perpendicularity, rectangles, transversals, parallelograms, general triangles, and measurement of the circumference of the earth. The second chapter, on similarity, discusses scale…

The first chapter, Perpendiculars and Parallels (II), of the ninth unit in this SMSG series includes a discussion of the properties of triangles, circles and perpendiculars, parallels in space, perpendicular lines and planes, and parallel planes. The next chapter, on coordinate geometry, covers distance; midpoints; algebraic descriptions of…

Strategies for problem solving are discussed in the first chapter in Unit 10 of this SMSG series. The second chapter covers the following algebra topics: solving simple equations and inequalities, simplifying expressions, solving fractional equations and solving inequalities involving fractions, factors whose product is zero, and factoring. See SE…

The second in a series of three workbook texts on beginning algebra. Designed primarily for use by lower ability mathematics students, the texts have been used by average ability students as supplementary materials. Volume 2 contains material on operations, variables and phrases, equations, exponents equivalent phrases, terms, and adding like…

This is a preliminary report of a project that is attempting to extend psychological research on stylistic differences in cognition to the study of teaching. This portion of the project measures students' preferences for three modes of mathematical expression; symbolic, verbal, and graphic. One hundred and fifteen junior high school students took…

The purpose of the study was to compare achievement in mathematics of seventh grade students under four different organizational patterns for mathematics instruction: (1) instruction by homeroom teachers, no special grouping, (2) instruction by homeroom teachers, interclass homogeneous grouping, (3) instruction by special teachers for mathematics,…

This teacher's guide for a semester course in trigonometry is prepared for use with the text "Plane Trigonometry with Tables" by E. R. Heineman. Included is a daily schedule of topics for discussion and homework assignments. The scope of each lesson and teaching suggestions are provided. The content for the course includes trigonometric functions,…

The plans for a field test of teaching tenth grade plane geometry through transformations is described. Text and homework materials have been written, and teachers have been trained. Eight intact classes are now being taught utilizing the materials. Data to be collected will include: (1) teacher descriptions of the course via questionnaire; (2)…

The purpose of this study was to investigate the effectiveness of a laboratory in the teaching of mathematics. A sample of 980 students in 36 seventh-grade mathematics classes from six District of Columbia inner-city schools was administered the Comprehensive Test of Basic Skills in October and in the following May. Twelve classes attended…

Twenty-six structural variables were defined and investigated using a set of algebraic word problems solved by 96 college students. The study attempted to identify a small independent well-defined set of arithmetic, linguistic, and algebraic structural variables which account for a maximum amount of the variance of the observed probability correct…