A narrative of about 100 pages and an accompanying workbook which attempted to imbed mathematics content in fiction were used with eight classes of seventh grade underachievers. Pretests and posttests covering open sentences, computations, and algorithms were given, along with reading vocabulary and reading comprehension tests. Results showed that…

This collection includes a list of suppliers, prices, and descriptions of commercially available teaching materials classified into the five categories of attribute games, basic structural materials, basic operations, geometry, and measurement; suggestions for using "junk" materials and for developing and selecting task cards; and checklists for…

This report traces the development of 20 objective test items for secondary mathematics, part of an Evaluation Project designed to compile a reservoir of items to serve as prototypes for teacher-constructed tests. The report first shows how an individual item is written and tested. Next, a classification system of items by subject matter and pupil…

LOGO is a programming language developed at Bolt, Beranek and Newman, Inc., specifically for use in teaching. It provides the student with a set of numerical and symbolic primitives as elements for gradually building extended, complex program structures. The building of these structures is facilitated by a procedure-oriented programming heuristic…

This report contains the findings of a two-year experiment with junior high school low achievers in mathematics. The main purpose of the experiment was to develop a program which would relieve low achieving junior high school students from the burdens of computation as much as possible. The experiment was also designed to determine what effect…

The major objective of this study was to determine the relationship between the frequency of use of the language of conditional logic by mathematics teachers and students' conditional reasoning ability. Other objectives were to determine the relationship between student mathematical ability and conditional reasoning ability and the effectiveness…

This guide for parents explains the objectives of the modern mathematics being taught in the schools and discusses the teaching methods being used. A few of the elementary concepts of modern mathematics (number lines, searching for patterns, different ways of analyzing problems, number bases, and sets) are briefly explained and justifications are…

Designed for the student who has mastered the skills in Math Structures 1 and 2 (of the Quinmester Program), this course includes work with flow charts, sequences and series, Pascal's triangle, magic squares, number patterns, similar figures, and coding. Each topic has a suggested time limit, performance objectives, teaching suggestions, and…

This course is a laboratory approach to linear measurement, perimeter, circumference, area of square and rectangle, volume of rectangular solids, and fluid measurement. Applications include use of ruler, meter stick, thermometer, beaker, air gauge, geometric solids, and geoboards. After lists of overall goals, overall strategies, specific…

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…

This paper reports a study which attempted to generalize earlier results obtained by Eastman to another mathematical content area. Two hundred eight ninth-grade algebra students were randomly assigned to one of the two treatments. The figural-inductive treatment presented concepts of logic through the use of Euler diagrams in an inductive mode;…

A review of studies comparing self-paced individualized programs with other teaching approaches at the secondary and post secondary level is presented in this paper. First, the teaching approaches used and the statistical design employed in the studies are described. Then, the studies are classified as secondary or post secondary, and the results…

During the first semester of the 1961-62 school year, students from eleven mathematics classes at seven high schools participated in a test of programed math materials. A control group composed of five classes was taught from a regular text by their math teachers; the experimental group contained six classes which were taught the same content via…

A series of questions can be posed and resolved in the process of teaching that the decimal expansions of rationals are terminating or repeating. (SD)

Absenteeism dropped markedly when educational games were used in middle school mathematics instruction. (SD)