Beginning Algebra-Preliminary Edition, 1/e
Jane A. Jamsen, Northern Michigan University
Gwen K. Hetler, Northern Michigan University
Published August, 1996 by Prentice Hall Engineering/Science/Mathematics
Copyright 1997, 448 pp.
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This text is based upon NCTM and AMATYC Standards as well as the authors'
five main goals for beginning algebra students:
(1) to develop conceptual thinking
(2) to develop algebraic skills
(3) to integrate topics so that students experience a holistic
(4) to provide practical application problems within all topics
(5) to provide students with the experience of working collaboratively
on exploratory problems.
An emphasis is placed upon conceptual development through thinking,
reasoning, description and justifying. Topics are integrated so
that students see them as connected, and not as isolated entities.
Practical applications are the basis for, and not supplements to,
the material and problem sets.
Algebraic work is developed through the themes of Integers,
Rational Numbers, Probability and Statistics, Linear Equations and
Inequalities, Exponents and Radicals and Functions.
Chapters are based on themes and different mathematical
topics are covered within that context.
Integrated topics highlight the relationships that exist
A variety of problem-solving strategies are presented to
expand students' critical thinking skills and approaches.
Concept-oriented problem sets with solutions, guiding students
from problem to solution and from solution to problem.
Exploration problems require students to collaborate to
pursue solutions in each section.
Practical applications relevant to today's students' own
A hands-on approach to subject matter encourages students
to explore mathematical relationships using manipulatives.
Each chapter ends with a chapter review with complete solutions.
Graphing and functions are developed conceptually throughout
1. Building the Foundation.
Integers: Concepts, Models, and Operations. Properties of
Integers and Algebraic Expressions. Development and Use of the Order
of Operations. Integers in Problem Solving. Connecting Integers and
2. The Role of Rational Numbers in Algebra.
Rational Numbers: Concepts, Models, and Operations. Development
and Use of the Properties of Rational Numbers. Informal Equation Solving.
Ratios and Unit Rates. Relationships Among Fractions, Decimals, and
Percents. Rational Numbers in Problem Solving.
3. Probability and Statistics.
Concepts of Probability. Tree Diagrams and Compound Events.
Statistics. Measures of Clustering and Box Plots.
4. Linear Equations and Inequalities.
Development of Algebraic Equations. Formal Equation Solving.
Literal Equations. Using Variables in Problem-Solving. Inequalities
in One and Two Variables.
5. Exponents and Radicals.
Integral Exponents. Exponents in Applications. Radicals
and Rational Exponents. Applications of Rational Exponents and Radicals.
The Function Concept. Linear Functions. Quadratic and Exponential
Equations and Functions. Functional Relationships. Explorations with
the Graphing Calculator.