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by Robert H. Alwin & Robert D. Hackworth
- 2005, softcover, 432 pages, Test Banks, Software, Videos
-
- ISBN 0-943202-86-8
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Arithmetic - An Individualized Approach
Every topic in arithmetic is thoroughly explained
and developed. Numerous examples and an abundance of exercises
provide opportunities for students needing a full course or those
with holes in their background that constantly interfere with
progress.
- Chapter 1: Addition of Whole Numbers
- Chapter 2: Subtraction of Whole Numbers
- Chapter 3: Multiplication of Whole Numbers
- Chapter 4: Division of Whole Numbers
- Chapter 5: The Meaning of Fractions
- Chapter 6: Addition and Subtraction of Fractions
- Chapter 7: Multiplication and Division of
Fractions
- Chapter 8: The Meaning of Decimal Fractions
- Chapter 9: Addition and Subtraction of Decimal
Fractions
- Chapter 10: Multiplication and Division of
Decimal Fractions
- Chapter 11: Ratios and Proportions
- Chapter 12: Percent
- Chapter 13: Signed Numbers
- Chapter 14: The Metric System and Geometry
Review
- Answers for All Tests and Feedback Exercises
- Index
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- by Robert H. Alwin & Robert D. Hackworth
2005, softcover, 388 pages, Test Banks, Software, Videos
- ISBN 0-943202-85-X
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Beginning Algebra - An Individualized Approach
This book assumes no prior knowledge of Algebra.
It carefully develops properties and skills for the counting numbers
before addressing the integers. Operations with signed numbers
are integrated into the Algebra before extending the material
to rational numbers. The book ends with all skills needed for
solving linear equations within the system of rational numbers.
Counting number exponents and simplification of expressions involving
them are included.
- Chapter 1: The Arithmetic of the Counting
Number
- Chapter 2: The Algebra of the Counting Numbers
- Chapter 3: Solving Equations with the Counting
Numbers
- Chapter 4: The Arithmetic of the Integers
- Chapter 5: The Algebra of the Integers
- Chapter 6: Solving Equations with the Integers
- Chapter 7: The Arithmetic of the Rational
Numbers
- Chapter 8: The Algebra of the Rational Numbers
- Chapter 9: Solving Equations with the Rational
Numbers
- Answers for All Tests and Feedback Exercises
- Index
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by Robert H. Alwin & Robert D. Hackworth
2005, softcover, 543 pages, Test Banks, Software, Videos
ISBN 0-943202-84-1
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Elementary Algebra - An Individualized Approach
This book assumes that the student has a well-developed
sense of the Algebra of the rational numbers, including skills
at solving linear equations and simplifying expressions involving
counting number exponents. A brief review of that material is
followed by a full development of polynomials. This leads to an
introduction to the real numbers, and solving quadratic equations.
Also included are simultaneous equations with two variables, their
graphing, and their common solutions.
- Chapter 1: A Review of Beginning Algebra
- Chapter 2: Graphing Equations with Two Variables
- Chapter 3: Solving Pairs of Equations
- Chapter 4: Exponents
- Chapter 5: An Introduction to Polynomials
- Chapter 6: Factoring Polynomials
- Chapter 7: Polynomial Fractions
- Chapter 8: Extending Equation solving Skills
- Chapter 9: Quadratic Equations with Rational
Solutions
- Chapter 10: Simplifying Radical Expressions
- Chapter 11: Solving Quadratic Equations with
Irrational Solutions
- Answers for All Tests and Feedback Exercises
- Index
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- by Robert H. Alwin & Robert D. Hackworth
1997, softcover, 623 pages, Test Banks, Software,
Videos
- ISBN 0-943202-64-7
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Intermediate Algebra - An Individualized Approach
This book is similar in content to that of a
second year of high school Algebra. Skills and concepts involving
equations, polynomials, and exponents are carried to a higher
level. Linear functions, quadratic functions, conic relations,
and their graphs are carefully developed. The text ends with systems
of equations.
- Chapter 1: Building a Vocabulary for Intermediate
Algebra
- Chapter 2: Simplifying Radical Expressions
- Chapter 3: Simplifying Radical Fractions
- Chapter 4: Rational Number Exponents
- Chapter 5: Polynomials
- Chapter 6: Factoring Polynomials
- Chapter 7: Polynomial Fractions
- Chapter 8: Equation Solving
- Chapter 9: Inequalities and Absolute Values
- Chapter 10: Linear Functions
- Chapter 11: Quadratic Functions and Relations
- Chapter 12: Solving Systems of Equations
- Square Root Table
- Answers for All Tests and Feedback Exercises
- Index
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- by Robert D. Hackworth & Robert Gouirand
1999, softcover, 344 pages
- ISBN 0-943202-70-1
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Interactive Trigonometry
The circular functions are carefully developed
from the wrapping function. The development is for sets of ordered
pairs and their graphs. Once familiar with the circular functions,
the student is introduced to triangular trigonometry and the types
of problems it addresses. The text ends with polar coordinates,
vectors, and applications of trigonometry for the complex numbers.
- Chapter 1: The Wrapping Function
- Chapter 2: The Circular Functions
- Chapter 3: Indentities
- Chapter 4: Periods, Amplitudes, and Phase
Shifts
- Chapter 5: Inverses and Equation Solving
- Chapter 6: Triangle Trigonometry
- Chapter 7: Topics for Calculus
- Answers for All Tests and Feedback Exercises
- Index
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- by Robert D. Hackworth &
Wendy L. Duignan
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Interactive Pre-Calculus
The student preparing for calculus is presented
with the variety of algebraic skills and graphing concepts that
are prerequisites for studying the subject. The emphasis throughout
is on functions, but the development always includes visualizations
that will strengthen the concepts.
- Chapter 1: Sets and the Real Numbers
- Chapter 2: Equations and Inequalities
- Chapter 3: Polynomials
- Chapter 4: Solving Polynomial Equations
- Chapter 5: Functions
- Chapter 6: Basic Skills for Graphing
- Chapter 7: Graphing Polynomial and Rational
Functions
- Chapter 8: The Conics
- Chapter 9: Exponentials and Logarithm Functions
- Chapter 10: Systems of Equations
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Additional Information about The Mathematics Series
Our Mathematics Series is designed to
aid the student in learning its material.
These texts possess strong teaching qualities that
virtually assure the conscientious student of steady, confident progress,
and at the same time, provides continuous opportunities to get help
where and when needed. Solid mathematics, quality instruction, and
personal assistance are the hallmark of this series of texts.
The quality of the mathematical content and instructional
use have been thoroughly documented in a wide range of situations
and with great numbers of students. Carefully developed, revised,
and perfected over the last 25 years, this is print instruction at
its finest.
Because of the design of these books, the student
can expect other dramatic improvements in the study and learning of
mathematics. One of those advantages is the student's ability to vary
the pace of instruction to match their ability to learn. At times,
a student needs to work slowly through the instruction and carefully
ponder each new concept. At other times, the student grasps the material
quickly and can accelerate their learning rapidly through the material.
As a result, most students will move through this material more quickly
than in a regular class situation.
Another great advantage is that students have an
opportunity to learn to ask intelligent, specific questions about
the mathematics in a context that encourages and does not threaten.
Study skill deficiencies can be corrected while maintaining traditional
levels of achievement and rigor.
The books and online courses contain many opportunities
for the student to make wise decisions about the level of understanding
achieved. Each chapter begins with an Objectives Test that illustrates,
by example, all of the concepts and skills which are to be presented.
Each chapter is broken into units in a way that divides
the content into topics of such length that it gives the student a
way of organizing their own studying to make it most effective. Most
units are designed to be completed in a single study session and,
for best results, should be handled in that way. The unit ends with
a Feedback which is an opportunity for the student to test the level
of understanding achieved.
The chapter ends with a Mastery Test that is similar
to the Objectives Test. When a student can do all the problems correctly
on a Mastery Test, it indicates a complete understanding of all the
material in the chapter.
Answers for all problems in the Tests and Feedbacks
are included. Good learning can occur only when the student is aware
of what is known and what still needs to be learned.
Comprehensive testing materials accompany all texts,
with multiple forms of all examinations provided to ensure mastery
learning. The texts also include online computer instruction.
