This document consists of three modules concerned with aspects of statistics. The first provides knowledge of the effect of imperfect correlation and random error on differences between means, and the reasons for the necessity of random allocation of objects to experimental and control conditions in scientific experimentation. The second unit…

Ways in which the emerging field of cognitive science can have a major impact on practical education are demonstrated by an overview of two projects: the work on Socratic tutoring by Collins and Stevens, and the diagnosing students' misconceptions in arithmetic by Brown and Burton. These two projects are cited as examples of how the techniques of…

These worksheets relate to the 1973-74 official North Carolina Department of Transportation Highway Map. Topics covered include: map reading, fractions, percentage, estimating, charts, and rounding. An answer key is included. (MP)

Presented are twenty essays related to applications in school mathematics and aimed at the classroom teacher. The essays use numerous examples and illustrations that provide the teacher with something tangible for immediate use. Four thematic areas are addressed: (1) What are applications?; (2) Why include applications in school mathematics?; (3)…

This text is based on the idea that teachers of mathematics at any level will find it advantageous to be able to point to interesting, useful, and diverse applications of the mathematics they teach. The first chapter describes several graphing techniques used for displaying data and finding meaningful relationships as a result. Subsequent chapters…

The objectives of this module include: (1) improving general arithmetic skills including whole numbers, fractions, and decimal fractions; (2) learning to compute averages; (3) strengthening knowledge of percent; (4) learning to locate needed information or statistical data; (5) reviewing or learning the use of the Pythagorean Theorem; (6)…

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 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 periodicity, graphs, angles, vectors, formulas, tables, waves, and applications. (MP)

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 law of decay, relative rate of change, and a general solution. (MP)

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 basic rules of sequence arithmetic, elementary strategy, intermediate strategy, and…

Consumer mathematics topics taught in the subject areas of mathematics, business education, and home economics were compiled. The compilation was analyzed and revised by a panel of secondary teachers and university professors from the three subject areas. The proposed curriculum contains 32 topics arranged in rank order of importance by the panel.…

THIS GUIDE IS FOR TEACHER USE IN DIRECTING INDIVIDUAL STUDENT STUDY OF BASIC MATHEMATICS IN ELECTRICAL-ELECTRONIC PROGRAMS. IT WAS DEVELOPED BY AN INSTRUCTIONAL MATERIALS SPECIALIST AND ADVISERS. EACH OF THE 19 INSTRUCTOR'S SHEETS GIVE THE LESSON SUBJECT, REFERENCES, AND A STEP-BY-STEP SOLUTION OF THE STUDENT ASSIGNMENT SHEET PROBLEMS. THE…

As part of a project designed to construct a mathematical model of the operation of an academic library, a research team determined the usefulness of a quantitative approach to making decisions about the number of copies of each item that a university library should provide. Using the reserve collection of the University of Lancaster Library as a…

This is a collection of articles dealing with mathematical applications for use by high school teachers and students. The articles are intended to illustrate several themes: (1) how mathematics is applied via construction of mathematical models; (2) the various types of activities in applied mathematics; (3) the role of pure mathematics in applied…

This research was undertaken to determine whether the mathematics course offered to students taking courses in chemical technology was adequate. Students in a regular class and an experimental class were given mathematics and chemistry pretests and posttests. The experimental class was taught using a syllabus designed to maximize the coherence…