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, polyhedrons,…

This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. The authors of this sequence of modules have chosen not to cover the initial basic postulates and theorems since they can be found in nearly every geometry text. Instead, a list of necessary postulates and their consequences is included. It…

This module on statistics consists of 18 worksheets that cover such topics as sample spaces, mean, median, mode, taking samples, posting results, analyzing data, and graphing. The last four worksheets require the students to work with samples and use these to compare people's responses. A computer dating service is one result of this work.…

The purpose of this module is to teach the basic metric measures of length, area, volume, capacity, mass, and temperature. It introduces students to metric prefixes, abbreviations, and unit conversions with the system. Illustrative and optional material compares metric measures to our familiar American standard measures. The purposes are…

THIS INTERIM REPORT COVERS ONE PHASE OF A BROADER PROGRAM AIMED AT STUDYING THE EFFECTS OF THREE EXPERIMENTAL MATHEMATICS PROGRAMS IN NINTH-GRADE ALGEBRA--BALL STATE, THE UNIVERSITY OF ILLINOIS COMMITTEE ON SCHOOL MATHEMATICS (UICSM), AND SCHOOL MATHEMATICS STUDY GROUP (SMSG)--ON THE ATTITUDES AND INTERESTS PUPILS DEVELOP TOWARD MATHEMATICS. THE…

This advanced mathematics curriculum guide, produced under the direction of the State of Louisiana Department of Public Education, is a segment of the educational program established in response to accountability, assessment, and competency-based education laws. The guide is designed to represent the best thinking of a selected statewide committee…

This study examined the effects of number of illustrative examples and number of practice problems given on seventh graders' achievement in a unit on probability. Four treatment groups were used, one for each combination of two levels of number of examples and two levels of number of practice problems. Prior to treatment students were pretested on…

This study examined the effects of pretraining Chicano and non-Chicano seventh-grade students using items parallel to those appearing on tests. The sample was 44% Chicano and 56% non-Chicano. Prior to instruction on factors and primes, all seventh-grade students in a school were given an Arithmetic Reasoning Test and a Missing Words Test as…

This guide provides enrichment for students to develop tools and concepts used in various areas of mathematics. The first part presents arithmetic progressions, geometric progressions, and harmonic progression. In the second section, the concept of mathematic induction is developed from intuitive induction, using concrete activities, to the…

This student manual consists of exercises and investigations designed to supplement existing units and materials written for the Thirteen College Curriculum Program (TCCP) course. Many sections can be used for independent work. This 174-page manual is divided into seven parts: (1) recognizing and representing number patterns; (2) sets and logic;…

This teacher's guide is designed for teaching BASIC and introducing students to the use of the computer by means of a series of short written lessons. The purpose of such a series is so that classroom time required for the series would not seriously hinder the progress of the normal course of study, and each student would have an opportunity to…

Presented are the results of a study conducted by a junior high school teacher with his own classes. The study is divided into two parts. The first part of the study attempted to improve mathematics attitude with enrichment activities. The second part attempted to change student attitudes by designing the curriculum according to parental…

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 factors and primes, perfect numbers, divisibility, expanded notation, repeating decimals, number…

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 the simplest version of the growth of a single population, a more realistic model of one…

This SMSG study guide is intended to provide teachers who use "Intermediate Mathematics," as a textbook with references to materials which will help them to gain a better understanding of the mathematics contained in the text. For each chapter of the text a brief resume of its content is followed by a list of annotated references which…