As a homeschooling mom who has forgotten much of the math I learned
past basic arithmetic, I'm always excited when I get a math book
that will help refresh my memory on different concepts. Understanding
Mathematics: From Counting to Calculus is one of those books.
This 352-page paperback book does just what the title says and
systematically introduces and explains mathematical concepts, beginning
with simple counting and building until calculus is reached.
Understanding Mathematics: From Counting to Calculus can
be used by nearly anyone since it covers all math topics from 1
st grade through college. It can be used as a supplement to another
math program or as a refresher course for parents, and it can be
used by itself as a math course if you add in the companion book, Math
Problems and Solutions Guide. This book contains over 10,000
problems and solutions.
There are 24 chapters in Understanding Mathematics: From Counting
to Calculus . Some of the chapter titles are "Addition and
Subtraction," "Fractions," and "Negative Numbers" (in the Elementary
Mathematics section), "Functions," "Geometry," and "Trigonometry" (in
the Intermediate Mathematics section), and "Logarithms," "The
Derivative," and "The Integral" (in the Advanced Mathematics
Section). Each of the 24 chapters is further broken down into
short sections, and each section includes easy-to-understand
explanations of the concept being presented, along with several
examples. The examples are taught step by step, so the concepts
are covered thoroughly. In Math Problems and Solutions Guide,
there are several problems for the student to work, and these
problems correspond to the sections in Understanding Mathematics:
From Counting to Calculus.
I would decidedly recommend both of these books to anybody who
is homeschooling. Even if these books are not used as a stand-alone
course, the information and easily accessed explanations contained
in Understanding Mathematics: From Counting to Calculus and
the number of practice problems available in Math Problems
and Solutions are invaluable.