The purpose of this project is to help teachers of mathematics get started using the computer to aid the teaching and learning of many mathematical concepts in a meaningful way. To this end, commercially available software packages are described which are versatile, cost effective, and easy to use. A review and several lessons, including homework…

This monograph is intended to be a practical introduction to computers for K-12 mathematics teachers, describing and illustrating ways in which computer technology can be used in the teaching of mathematics. It is organized according to the major ways computers are used in classrooms, and includes activities with suggested lesson outlines, BASIC…

Studies of methods of teaching statistics are reported. Three brief texts were written for the investigations; they varied in degree of explanation of basic concepts of elementary probability. Subjects were undergraduate students at the University of Massachusetts, Amherst. None of the subjects had had previous formal exposure to probability or…

This paper discusses the basic concepts of reflection and its related concepts in optics. It aims at providing examples on how to apply the principle of reflection in geometry. Explorations of the concepts involved via dynamic geometry software are also included.

Vector analysis is viewed to play a key role in many branches of engineering and the physical sciences. This unit is geared towards deriving identities and establishing "machinery" to make derivations a routine task. It is noted that the module is not an applications unit, but has as its primary objective the goal of providing science,…

Instructors in the Navy's Basic Electricity and Electronics (BE/E) schools were presented with a list of 70 mathematical skills and asked to indicate: (1) how important they were to successful BE/E school performance, and (2) whether they were prerequisite, reviewed, or taught in the schools. Also, they were asked to state the number and type of…

This book is a guide for the reinforcement of the elementary mathematics laboratory program. It uses a hands-on and activity approach with maximum involvement of the students. Reinforcement strategies for the first three phases (concrete, semiconcrete, and semiabstract) of each mathematics concept are suggested. Also included are specific job…

Approaches to helping students remember concepts in secondary mathematics are presented. The eleven points listed are: 1) distinguishing between natural and whole numbers; 2) remembering isosceles triangles have two equal sides; 3) finding all possible pairs of integral factors of a given number; 4) recalling the meaning of reflexive, symmetric,…

This study was designed to extend the schema-theoretic perspective of understanding general discourse to include graph comprehension. The sample included 204 fourth-grade and 185 seventh-grade pupils. Data were collected on achievement in reading and mathematics, sex, prior knowledge of topic, mathematical content, graphical form, and graph…

This teaching guide suggests practical ideas for encouraging mathematics talent in preschool children. It is part of a series of similar guides developed by the RAPYHT Project (Retrieval and Acceleration of Promising Young Handicapped and Talented) for educating gifted/talented handicapped children and gifted children with no handicaps. A list of…

This exploratory study investigates first-, second-, and third-grade children's performance on selected open addition and subtraction sentences presented in verbal and symbolic formats. For both the verbal and symbolic formats, three first-grade inventories and three upper-grade inventories were constructed. Sixteen children at each of the first-,…

This is unit three of a fifteen-unit secondary mathematics textbook. This unit contains two chapters. The first chapter discusses integers and the second chapter discusses rational numbers. Operations with both types of numbers as well as the structure of the systems are discussed. (MK)

The purpose of this module is to acquaint students with the terms prime, composite, and factor. This is done by offering a definition of each term, then reinforcing its meaning through activities. (Author/MK)

THE PROGRAM ATTEMPTS TO TEACH NEW MATHEMATICAL CONCEPTS TO ELEMENTARY SCHOOL CHILDREN WITHOUT THE BURDEN OF LEARNING A COMPLETELY NEW VOCABULARY. THE PROGRAM WILL SEEK A HIGH DEGREE OF PUPIL INVOLVEMENT BROUGHT ABOUT BY FOSTERING A SPIRIT OF INQUIRY AND INVESTIGATION. THE ABSENCE OF "ANSWERS" FROM AN AUTHORITY WILL BE NOTED THROUGHOUT…

MEASUREMENT, GEOMETRY, DECIMAL FRACTIONS, AND PERCENTAGE CONSTITUTE UNIT CONTENT FOR LEVEL II-A. NO STEP-BY-STEP PROCEDURES ARE GIVEN. EACH UNIT HAS GENERAL PROCEDURAL AND CONTENT APPROACH SUGGESTIONS. THE UNIT BEGINS WITH MEASUREMENT BECAUSE MOST CLASS MEMBERS WILL BE TAKING A PRACTICAL ARTS COURSE AND WILL NEED TO BE ABLE TO MEASURE MATERIALS.…