This is part one 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 number line and coordinates, equations, scientific notation,…

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include points, lines, space, planes, names, intersection of sets, intersection of lines and planes,…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include a three dimensional coordinate system, distance formula, the equation of a plane, first…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) Helmholtz and the nature of geometrical axioms; (2) the straight line; (3) geometry and intuition; and (4) the…

This is an SMSG elementary school text for first-grade students. The development of mathematical ideas in the text is grounded in appropriate experiences with things from the physical world and the immediate environment. Chapter topics include: (1) sets and numbers; (2) numerals and the number line; (3) sets of ten; (4) introduction to addition…

This is part one of a two-part SMSG elementary school text for fourth-grade students. The content is aimed at the development of some of the fundamental concepts of mathematics such as number, numeration, the operations of arithmetic, and intuitive geometry. Chapter topics include concept of sets, numeration, properties and techniques of addition…

This is part one of a two-part SMSG elementary school text for fifth-grade students. The content is aimed at the development of some of the fundamental concepts of mathematics such as number, numeration, the operations of arithmetic, and intuitive geometry. Chapter topics include extending systems of numeration, factors and primes, extending…

This is a kindergarten manual for teachers using SMSG elementary school text materials. For each chapter, objectives, vocabulary, materials, and activities to help develop concepts are given. Chapter topics include: (1) sets; (2) recognizing geometric shapes; (3) comparison of sets; (4) subset; (5) joining and removing; (6) ordering; (7) using…

THIS CURRICULUM GUIDE FOR ALL GRADES OF PUBLIC SCHOOL INSTRUCTION IS INTENDED TO ASSIST LOCAL SCHOOL DISTRICTS IN DESIGNING AN ADEQUATE MATHEMATICS PROGRAM THAT REFLECTS THE MODERN APPROACH. THE GUIDE PRESCRIBES A PROGRAM WHICH IS SUFFICIENTLY FLEXIBLE TO BE USED BY LARGE DISTRICTS HAVING A COMPLETE THREE-TRACK MATHEMATICS PROGRAM WITH FIVE YEARS…

This publication is designed to extend and strengthen the computational skills and mathematical understandings of children in Grades 2 and 3. It presents an overall scope and detailed sequence for implementation by teachers and supervisors, based on the modern program introduced in pre-kindergarten, kindergarten and first grade classes. The scope…

This curriculum bulletin is one of a planned series of bulletins designed to meet the needs of teachers and supervisors. The materials in this bulletin consist of a series of daily lesson plans for use by teachers in presenting a modern program of seventh year mathematics. In these lesson plans are developed the concepts, skills, and applications…

Presented are a suggested program and the course outlines for the pregraduate preparation of research mathematicians. The program set forth is designed for the first four years of a sequence of formal course study leading to the Ph.D. in a total of seven years. The proposed program of pre-graduate mathematical studies falls into two parts:…

Reported is an initial attempt to define a minimal college mathematics library. Included is a list of some 300 books, from which approximately 170 are to be chosen to form a basic library in undergraduate mathematics. The areas provided for in this list include Algebra, Analysis, Applied Mathematics, Geometry, Topology, Logic, Foundations and Set…

This is the Teacher's Commentary for Mathematics for the Elementary School, Book K, Special Edition. The writers have relied on the existing SMSG kindergarten and first grade materials as a framework. This special edition is designed to meet the needs of disadvantaged children. Included in the Commentary are background information for the teacher,…

This is a SMSG geometry text for elementary teachers. This volume has been prepared to help elementary teachers develop a sufficient subject matter competence in the mathematics of the elementary school program. The editors feel that elementary teachers need a thorough discussion of all the materials they might teach in grades 4, 5, and 6, from a…