The PRINT version is for those of us who like to
highlight, write in margins,
feel the paper between our fingers.
The DIGITAL version (use the BUY NOW button below) is for convenience.
It's easier to search in a single file.
You don't have to follow 23 different links to read the whole book.
One Mathematical Cat, Please!
Ideas for Anyone Who Wants to Understand Mathematics
digital version (a single pdf file, 1.6 MB)
\$1.34
When you buy,
you'll receive an email with a download link.
(So, check your email after checking out!)
I want to get \$1.00 from a sale.
PayPal charges 30 cents per transaction, plus 2.9% of the selling price.
Let $\,p\,$ denote the selling price, in dollars.
$$p \ \ \ \ \ - \overbrace{0.30}^{\text{30 cents/transaction}} -
\overbrace{0.029p}^{\text{2.9% of selling price}} = 1.00$$
Solve for $\,p\,$:
$$\begin{alignat}{2}
(1p - 0.029p) - 0.30 \strut&= 1.00 &\qquad &\text{(re-arrange, re-group, $\,p = 1p\,$)} \cr
0.971p &= 1.30\strut &&\text{($1-0.029=0.971\,$, add 0.30 to both sides)} \cr
p &= \frac{1.30}{0.971} &&\text{(divide both sides by 0.971)}\cr
p \strut&\approx 1.34&&\text{(do the division)}
\end{alignat}
$$
(I don't really make a whole dollar.
SendOwl charges \$9.00/month for my secure checkout button.
There are taxes, domain names, server fees...
But, I wanted to keep the math simple.)
ABOUT THE CAT-ON-SWING BOOK
Want a fresh start on math? View it in a totally new way?
Then read this little book.
If you're using my higher-level materials
(Geometry,
Algebra II,
Precalculus,
Calculus)
without having gone through my
Algebra I course,
then I highly recommend that you read the cat-on-swing book. It will quickly bring
you up-to-speed with all the math language ideas you need to fully benefit
from my lessons.
You'll learn that numbers have lots of different names, and math is the renaming tool.
You'll learn that ‘$\,x\,$’ is to math as ‘cat’ is to English.
It's an easy read. If you can add, subtract, multiply and divide with numbers like 1, 2, and 3, then you can read this book.
Supplement any math class, 7th grade through college. Use for self-learners, home-schoolers, math lovers, math haters.
Reviewers and users write:
“... wonderfully written and crafted with a care you rarely see”
“... will do a great service to the mathematical educational world”
“... the need for this book is immense”
“... I found meat, potatoes, and pie on every page. It's all dessert.”
“... never seen anything so supportive and affirming and reassuring and inspiring as the way you talk us through topics”
“THIS IS GREAT!!!! . . . this is helping me get heads above the competition. You rock!!!! One Mathematical Cat drives me wild.”
An entire website grew from this book.
Free randomly-generated exercises. Free unlimited worksheets. Algebra Pinball.
All the same style. All the same voice.
All building on the ideas in this little book.
THE REAL NUMBERS (pages 13–25)
the real numbers and where they live; living to the right or left of
zero; size (distance from zero) versus order (left/right positioning);
opposites; integers; averaging
Solutions to Exercises: Chapter 2
HOLDING THIS, HOLDING THAT (pages 40–57)
letters used to represent other objects—variables; variables ‘hold’
objects; variables are used to state a general principle, represent a sequence
of operations, represent an ‘unknown’ quantity; solving a sentence
Solutions to Exercises: Chapter 4
I LIVE TWO BLOCKS WEST OF YOU (pages 58–74)
order properties of the real numbers—position of one number relative
to another; mathematical sentences used to describe order relationships; the
phrases ‘greatest’, ‘least’, ‘at least’, ‘at most’; describing a whole class
of sentences in one fell swoop; equations versus inequalities; solution of
a sentence in one variable; graph of a sentence; reading a sentence backwards
Solutions to Exercises: Chapter 5
NUMBERS HAVE LOTS OF DIFFERENT NAMES! (pages 75–93)
different names can reveal various properties that a number has; theorems
are to a mathematician as tools are to a carpenter; the power of adding zero
and multiplying by one; simplifying an expression versus solving a sentence;
unit conversion
Solutions to Exercises: Chapter 6