K. Elayn Martin-Gay, University of New Orleans, Lakefront
Published March, 1997 by Prentice Hall Engineering/Science/Mathematics
Copyright 1997, 710 pp.
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Prealgebra (Basic Math with very Early Algebra)-Mathematics
This text's clear, well-constructed and straightforward writing style
makes it accessible to even the most apprehensive math students. The
primary focus of the pedagogy, presentation and other elements is
to ease the transition into algebra; for example, emphasis is placed
on basic arithmetic operations within algebraic contexts. The
Second Edition includes a greater integration of NCTM and AMATYC standards,
including more emphasis on visualization, problem solving and data
Variables (Ch. 1) and signed numbers (Ch. 2)
are introduced early and frequently referred to throughout. Students
benefit from this early and repeated exposure and are encouraged to
Treatment of calculators is integrated in separate
boxes and noted in exercise sets to give Instructors flexibility on
when and how they want to integrate technology into their course.
- Writing style is clear and direct.
- Many explanations are provided.
- Pedagogy is ample and accessible.
Mental Math boxes ask students to employ analytical
skills and solve problems intuitively and without a pencil. They can
be used as in-class oral exercises or as preludes to exercise sets.
Conceptual Exercises, identified by an icon, are written
to help students asses their understanding of concepts in a section.
The paperback format can double as a workbook. Notes
can be written in margins, solutions can be worked right next to problems.
- Also helps develop pattern recognition.
Practice Problems are found in the margins next to
examples - this allows students to check their understanding of a
concept before continuing.
Cumulative Reviews in every chapter include worked
examples from previous chapters. Students can find the answers in
an appendix, as well as a reference to where the problem first appeared
so that a complete solution is available to them if needed.
Group Activities at the end chapters emphasize critical
thinking and problem solving.
- Similar Skill Reviews are featured at the end of
Problem Solving exercises are featured throughout
and are highlighted in exercise sets.
Geometry concepts and applications are incorporated
NEWEmphasis on analyzing data has been increased.
Bar graphs, circle graphs, and real data are included where applicable
to emphasize the (sometimes visual) connection between data analysis
NEWA step by step problem-solving approach
is featured with a variety of realistic problems.
- Teaches students the importance and purpose of reading
charts and graphs.
NEWSkills Practice applied exercises throughout
help mathematically challenged students make connections between math,
other courses and the real world.
NEWUnique chapter openers feature vignettes
and related photographs demonstrating real-life applications of mathematics.
Vignettes are summarized at ends of chapters with boxes stressing
problem- solving critical thinking skills, and group activities.
NEWAll problem-solving sections have been updated
to incorporate real data from a variety of disciplines: environmental
science, allied health, astronomy, business, etc.
- Can be used as collaborative activities.
NEWReminders (formerly Helpful Hints) alert
students to trouble areas and provide encouragement and suggestions
to avoid common errors.
- USA Today and other well-known sources are used.
NEWDefinitions are clearly explained, both
visually (definitions are summarized and highlighted by color) and
by worked example. Ideal for visual learners, and/or for those who
learn best by example.
(NOTE: Each chapter ends with highlights, review, test
and cumulative review.)
1. Whole Numbers and Introduction to Algebra.
Place Value and Reading Tables. Adding Whole Numbers and
Perimeter. Subtracting Whole Numbers. Rounding and Estimating. Multiplying
Whole Numbers and Area. Dividing Whole Numbers. Exponents and Order
of Operations. Introduction toVariables and Algebraic Expressions.
Introduction to Integers. Adding Integers. Subtracting Integers.
Multiplying and Dividing Integers. Order of Operations.
3. Solving Equations and Problem Solving.
Simplifying Algebraic Expressions. Solving Equations: The
Addition Property of Equality. Solving Equations: The Division Property
of Equality. Solving Linear Equations in One Variable. Linear Equations
in One Variable and Problem Solving. Perimeter and Problem Solving.
Introduction to Fractions and Equivalent Fractions. Factors
and Lowest Terms. Multiplying and Dividing Fractions. Adding and Subtracting
Like Fractions and Least Common Denominator. Adding and Subtracting
Fractions with Unlike Denominators. Complex Fractions and Review of
Operations. Solving Equations Containing Fractions. Operations on
Introduction to Decimals. Adding and Subtracting Decimals.
Multiplying Decimals and Circumference of a Circle. Dividing Decimals.
Estimating and Review of Operations. Fractions and Decimals. Equations
Containing Decimals. Square Roots and the Pythagorean Theorem. Area
6. Graphing and Introduction to Statistics.
Reading Graphs. Rectangular Coordinate System. Graphing
Linear Equations. Averages, Medians, and Modes.
7. Ratio, Proportion, and Measurement.
Ratios. Proportions. Problem Solving with Proportions and
Similar Triangles. Length: U.S. and Metric Systems of Measurement.
Weight and Mass. Capacity: U.S. and Metric Systems of Measurement.
Percents, Decimals, and Fractions. Percent Equations and
Problem Solving. Interest. Sales Tax and Wages. Percent Increase and
Adding and Subtracting Polynomials. Multiplication Properties
of Exponents. Multiplying Polynomials. Introduction to Factoring Polynomials.
A. Addition Table and One Hundred Addition Facts. B. Multiplication
Table and One Hundred Multiplication Facts. C. Table of Squares and
Square Roots. D. Compound Interest Table. E. Review of Geometric Figures.
F. Review of Angles, Lines, and Special Triangles. G. Answers to Selected