Research supported by National Science Foundation grant GE-3 to the University of Minnesota.

A BOOKLET DESIGNED FOR ELEMENTARY SCHOOL STUDENTS TO BE USED INDEPENDENTLY FROM AND IN ADDITION TO THE REGULAR CLASSROOM CURRICULUM IN MATHEMATICS IS PRESENTED. THE OPERATIONS OF ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION ARE GIVEN PRACTICAL IMPORTANCE BY THEIR APPLICATION IN THE USE OF MONEY AND FOREIGN MONEY EXCHANGE. THE GUATEMALAN,…

THE AIM IS TO MEET THE NEEDS OF THE AVERAGE STUDENT IN MATHEMATICS. MODERN CONCEPTS BASED ON THE FINDINGS OF EXPERIMENTAL PROGRAMS ARE INCLUDED. INDIVIDUAL DIFFERENCES AMONG STUDENTS ARE CONSIDERED, AND APPROPRIATE MATHEMATICAL SEQUENCES, DEVELOPED. COURSES OF STUDY IN MATHEMATICS ARE LISTED FOR THE FIVE "LANES" OF THE CHICAGO SCHOOL…

OF THE SEVEN OBJECTIVES STATED, TWO MAY BE UNIQUE. THEY ARE (1) TO GIVE PUPILS MASTERY OF THE BASIC MATHEMATICS FORMERLY COVERED IN GRADES 7 AND 8--THE FUNDAMENTAL OPERATIONS, PERCENTAGE, MEASUREMENT, FORMULAS, PROBLEMS, AND GEOMETRIC CONCEPTS AND CONSTRUCTIONS, AND (2) TO INTRODUCE THE BASIC CONCEPTS, TERMINOLOGY, AND SYMBOLISM OF CONTEMPORARY…

Reported are the results of a study which investigated the relative efficacy of four instructional strategies for promoting three levels of awareness of mathematical concepts. It was determined that there are basically two kinds of moves used in teaching concepts: characterization (C), and exemplification (E). The four patterns studied were C, CE,…

The author describes the concept of Randolph diagrams (R-diagrams) which is a scheme for simplifying set-theoretic and/or logical expressions. Several applications of R-diagrams are presented. [Not available in hardcopy due to marginal legibility of original document.] (FL)

This booklet has been written for parents and teachers who want to guide young children (ages 5-10) through informal activities involving mathematical concepts. The author feels that primary sensory experiences which lead to questions of size, number, shape, pattern, and movement will strengthen and prepare children for formal learning in school.…

This experiment attempted to teach abstract mathematics fo college freshmen with A.C.T. scores less than 15 in a three semester terminal course sequence. The course content included a formal mathematical language, set theory, Boolean Algebra, relations and functions, operations, cardinals and ordinals, the rational numbers, and college algebra.…

Assessed was the performance of subjects who had been exposed to transformational geometry treatment. The performance test consisted of geometry achievement and spacial ability measures. Second and third grade subjects were randomly assigned to experimental and control groups. The experimentals received a twelve lesson treatment and the controls a…

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…

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…

Two experiments investigate the effects of mode of presentation and number of categories on 4-year-olds' proportion estimates. Experiment I compares simultaneous and successive presentations of proportion problems using two categories of elements. The subjects were 40 children chosen randomly and tested individually. Four problems were presented…

This is one of a series of units intended for both preservice and inservice elementary school teachers to satisfy a need for materials on "new mathematics" programs which (1) are readable on a self basis or with minimal instruction, (2) show the pedagogical objectives and uses of such mathematical structural ideas as the field axioms, sets, and…