This booklet, one of a series, has been developed for the project, A Program for Mathematically Underdeveloped Pupils. A project team, including inservice teachers, is being used to write and develop the materials for this program. The materials developed in this booklet include (1) elementary properties of the exponent, (2) properties of the…

This study was designed to test the effects of a sequence of 12 lessons on the ability of kindergarten and first-grade children to recognize and conserve numerousness. Two pretests were administered to the children in each grade level, the Lorge-Thorndike Intelligence Test (nonverbal) and a test of numerousness. One post-test, the test of…

The objective of this study was to explore methods of using commonplace mechanical devices at the fourth grade level to expedite and extend the treatment of two important segments of the lower elementary arithmetic curriculum. The experimental testing of classroom materials took place at the Middle School of the Laboratory Schools of the…

This guide for teachers of mathematics in the Career Guidance Program has been designed to help to develop a new interest in education for pupils who have at some point in their career lost interest in academic learning. The program was organized for the ninth grade, since this was the terminal year of the junior high school and since at this time…

This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on…

The reliability of using peers in drill type instruction was investigated with 57 students (in grades 4 through 8). Quality of tutor-student interaction during multiplication drills was based on the pace or rate at which students interacted with the material and the accuracy level at which they performed. Ss were instructed to listen to cassette…

The Radio Mathematics Project is being undertaken in Masaya, Nicaragua, to assess the feasibility and effectiveness of radio as the medium of instruction for primary school mathematics in the developing nations. The curriculum is based upon a series of segments, each of which contains several conceptual or topical strands. Thus, for example, one…

Reported are the results of a study made to determine the effects of independent study with experimental matematical materials upon selected achievement measure, and the grade level at which these materials can be used most effectively. Experimental treatments were randomly assigned to three classes within two elementary schools at each of the…

The series "Soviet Studies in the Psychology of Learning and Teaching Mathematics" is a collection of translations from the Soviet Literature of the past twenty-five years on research in the psychology of mathematical instruction. Also included are works on methods of teaching mathematics directly influenced by this research. The aim of…

Fourteen novel multiplication problems (of the form "a times b equals") were presented on each of five consecutive days to nine third grade classes divided into three groups. Immediate knowledge of results was provided for group one, delayed for group two, and no knowledge of results for group three. Residual scores, obtained by taking the…

Reported are the results of an exploratory study that analyzed appropriate mathematical or "pre-mathematical" experiences for very young children of nursery school, kindergarten, or first-grade age. Among alternative approaches are the approach via sets, the approach via real numbers, and the approach via the physical act of counting.…

The Mathematics Content Authority List for K-6 represents an attempt to list in one volume the mathematics concepts and skills currently taught in the elementary schools. The list consists of approximately 300 items of mathematical definitions, explanations, and examples. This list is used by the Pennsylvania Retrieval of Information for…

This curriculum bulletin is the second part of "Mathematics--Pre-Kindergarten, Kindergarten, and Grade One." This is a developing curriculum program that incorporates the pre-kindergarten into the educational system and reorganizes mathematics materials in the early childhood years. The materials in this bulletin deal with numbers and operations…

In the winter of 1965, an experimental course in Elementary Number Theory was presented to a 6th grade class in the Hosmer School, Watertown, Massachusetts. Prior to the introduction of the present material, students had been exposed in class to such topics from the University of Illinois Arithmetic Project as lattices, number lines, frame…

This document is a reprint of the geometry section from the 1954 syllabus Mathematics 10-11-12, An Integrated Sequence for the Senior High School Grades. The text outlines a tenth year geometry course integrated with arithmetic, algebra, and trigonometry, which progresses from an informal to a formal level. The topics suggested include definition,…