In this paper, the use of guided hyperlearning, unguided hyperlearning, and conventional learning methods in mathematics are compared. The design of the research involved a quasi-experiment with a modified single-factor multiple treatment design comparing the three learning methods, guided hyperlearning, unguided hyperlearning, and conventional…

The operation of rounding is shown to lead into an investigation of an abstract mathematical system. Properties of the system are discussed and graphs of the rounding function are drawn. Some questions for discussion are given. (MP)

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include complex numbers, operations, standard form, equations, graphs and conjugates. (MP)

Presents an insightful approach to algebra that enhances both personal and classroom communication through the process of solving a linear equation. (KHR)

Activities involving set union and intersection, graphing solutions of open sentences, and negation are described. These activities afford students with opportunities for computational practice as well as instruction on equations and inequalities. (SD)

Rational points in the plane were defined as points having both coordinated rational. Students solved several problems linking rational points with lines, circles, and other geometric figures. (SD)

Use of graphs in studying greatest common divisors, least common multiples, and other concepts can illustrate patterns related to the definitions of these concepts. (SD)

This outline is for a pre-algebra course designed to prepare students for algebra or to satisfy a one-year mathematics requirement. A key purpose is to present a practical mathematical experience. A detailed outline is given with a suggested time allotment for each chapter. A discussion of each topic follows with teaching suggestions and examples.…

The sixteen chapters of this book provide the core materials for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

This book is written to answer commonly asked homework questions of fourth, fifth, and sixth graders. Included are facts, charts, definitions, explanations, examples, and illustrations. Topics include ancient number systems; decimal system; math symbols; addition; subtraction; multiplication; division; fractions; estimation; averages; properties;…

The primary aim of this guide is to aid teachers in planning and preparing a senior high school mathematics course for students preparing for college work. It is divided into separate one-semester courses of seven chapters each. The first-semester course consists of a traditional approach to the introduction of trigonometry and trigonometric…

Using the methods described, pattern representation of operations in modular systems can be developed. (SD)