This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include real numbers, similar triangles, variation, non-metric…

The third student text in this SMSG series of 14 covers the following topics from number theory: the division algorithm, divisibility, prime numbers, prime factorization, common divisors and common multiples, and properties of the whole number system. A second chapter discusses properties and operations with integers. For a special edition of this…

This is part two of a two-part SMSG intermediate mathematics text for high school students. The aim of the text is to focus attention on mathematical ideas which are appropriate for study by college-capable students in the eleventh grade. Chapter topics include number systems, an introduction to coordinate geometry in the plane, the function…

Unit 9 in the SMSG's secondary school mathematics series is a student text covering the following topics in Algebra I: sets and the number line, numerals and variables, sentences and properties of operations, open sentences and English sentences, the real numbers, properties of addition, properties of multiplication, properties of order, and…

Topics covered in the first chapter of Unit 8 of this SMSG series include square roots, operations with radicals, operations with real numbers, and the structure of the real number system. The second chapter deals with measurement of area (for rectangular regions, other polygons, and circles), volume and surface area, computation involving…

Unit 17 in the SMSG secondary school mathematics series is a student text covering the following topics: number systems, coordinate geometry in the plane, the function concept and the linear function, quadratic functions and equations, complex number systems, equations of the first and second degree in two variables, systems of equations in two…

Presented are several methods of introducing nondecimal numeration systems to elementary grade students. Various activities for grouping and/or visual displays are used. Games which incorporate nondecimal grouping ideas are also presented. (JP)

This text is one of the sequence of textbooks produced for low achievers in the seventh and eighth grades by the School Mathematics Study Group (SMSG). There are eight texts in the sequence, of which this is the seventh. This set of volumes differs from the regular editions of SMSG junior high school texts in that very little reading is required.…

This is volume one of a three-volume SMSG junior high school mathematics text. This volume contains units concerned with the structure of the number systems of arithmetic. Unit topics include: (1) numeration; (2) natural numbers and zero; (3) factoring and primes; (4) supplementary tests for divisibility and repeating decimals; (5) the…

This manual was designed for use by teachers using the School Mathematics Study Group's (SMSG) special text series for low achievers in grades 7 and 8; it covers chapters 10 through 18 of that series. The manual begins with introductory material describing characteristics of low-achieving students and suggested instructional approaches. Testing…

This text is one of the sequence of textbooks produced for low achievers in the seventh and eighth grades by the School Mathematics Study Group (SMSG). There are eight texts in the sequence, of which this is the sixth. This set of volumes differs from the regular editions of SMSG junior high school texts in that very little reading is required.…

This first unit in the SMSG's junior high mathematics series is a student text covering the following topics: what is mathematics?; numeration; whole numbers; non-metric geometry; factoring and primes; the rational number system; measurement; and area, volume, weight, and time. (DT)

This fifth unit in the SMSG junior high mathematics series is a student text covering the following topics: rational numbers and coordinates; equations; scientific notation, decimals, and the metric system; constructions, congruent triangles, and the Pythagorean property; relative error; and real numbers. (DT)

Several methods of teaching college-level mathematics sequences are examined for their advantages, disadvantages, and costs. Materials considered include textbooks, film sequences, videotaped lectures, and individualized teaching machines. (SD)