**Picture Books**

**by Monique Felix**

*The Opposites,*
(ages 2 to 6)

One of the earliest math skills, more basic perhaps than
counting, is noticing attributes. This book has no words, and yet it tells dozens
of stories, each about opposites. Noticing the one attribute that shows
opposites in the detail-filled pictures is a math game your child will want to
play again and again.

**, by Keith Baker**

*Quack and Count*
(ages 2 to 7)

This is a board book, so it's good for the youngest child who will sit and listen to a story. And it stays good because it's so luscious. Great illustrations, fun rhythm and rhyme, cute story, and good mathematics. 7 ducklings are enjoying themselves in every combination. “Slipping, sliding, having fun, 7 ducklings, 6 plus 1.” (And then 5 plus 2, 4 plus 3, 3 plus 4, and so on.) It would be great to have a book like this for each number, showing all the number pairs that make it. If I ever get to teach math for elementary teachers again, I'd love to get my students to make books like this one.

This is a board book, so it's good for the youngest child who will sit and listen to a story. And it stays good because it's so luscious. Great illustrations, fun rhythm and rhyme, cute story, and good mathematics. 7 ducklings are enjoying themselves in every combination. “Slipping, sliding, having fun, 7 ducklings, 6 plus 1.” (And then 5 plus 2, 4 plus 3, 3 plus 4, and so on.) It would be great to have a book like this for each number, showing all the number pairs that make it. If I ever get to teach math for elementary teachers again, I'd love to get my students to make books like this one.

**, by Mitsumasa Anno**

*Anno's Counting House*
(ages 2 to 7)

Everything I've seen by Mitsumasa Anno is delightful. There is so much to see in his books, many of which have no words. In this book, ten people are moving from one house to another. In each two-page spread you can see one more person who's moved from the left house to the right, along with lots of furniture and other small items.

Everything I've seen by Mitsumasa Anno is delightful. There is so much to see in his books, many of which have no words. In this book, ten people are moving from one house to another. In each two-page spread you can see one more person who's moved from the left house to the right, along with lots of furniture and other small items.

*Anno's Mysterious Multiplying Jar*will appeal to older readers. There is one island with two counties, which have three mountains each ..., until we get to ten jars within each box - a lovely, very visual representation of factorials.

*Anno's Magic Seeds*does have words, and tells a fascinating story, of a plant whose seed, when baked, will keep you from being hungry for a full year. The plant grows two seeds in a year, and one needs to be used to grow a new plant... You may also enjoy

*Anno's Math Games*. Anno has written over 40 books, most available in English.

*by Lily Toy Hong*

**Two of Everything,**(ages 3 to 7)

A poor old farming couple in China find a mysterious pot. When a hairpin drops in, they scoop two out.The math isn't discussed in the story, but it's pretty easy to add your own thoughts to this delightful tale of doubling.

**by Donna Jo Napoli and Richard Tchen**

*How Hungry Are You?*
(ages 3 to 12)

There are lots of great of great books on sharing equally. My favorite used to be

There are lots of great of great books on sharing equally. My favorite used to be

*The Doorbell Rang*, by Pat Hutchins, but this one is even more delightful. The picnic starts with just two friends, rabbit is bringing 12 sandwiches and frog is bringing the bug juice. Monkey wants to come, "My mom just made cookies. I could take a dozen." They figure out how much of each goody each friend will get. In the end, there are 13 of them, and the sharing becomes more complicated. One of the delights of this book is the little icons showing who’s talking. It would make a good impromptu play.

**, by Demi**

*One Grain of Rice*
(ages 5 to 12)

The greedy raja is gently outsmarted by
a wise village girl named Rani. This is a very sweet take on the story of
grains of rice put on a chessboard. (One grain on the first square, two on the
next, then 4, 8, 16, …, until the board is filled. How much rice is that,
anyway?)

**by Ivar Ekeland**

*The Cat in Numberland,*The story starts when Zero knocks on the door of the Hotel Infinity. He’d like a room, but they’re all full (with the number One in Room One, and so on). Turns out that’s no problem. The cat who lives in the lobby gets confused - if the hotel is full, how can the numbers make room for zero just by all moving up one room? Things get worse when the fractions come to visit. This story is charming enough to entertain young children, and deep enough to intrigue anyone. Are you ready to learn about infinity with your 5 year-old?

*, by Richard Evan Schwartz*

**You Can Count on Monsters**(any age)

Each number from 1 to 100 is a monster, and each one gets its picture
on its own page. All of the numbers (except poor 1) are made up from their
prime parts. The pictures are colorful, full of intriguing detail, and amusing.
The pages in the front and back that explain prime factorization are
unassuming, waiting for the reader to decide it’s time to find out more. This
and

*Powers of Ten*would both make great coffee table books, to peruse over and over.*book series, by Time-Life (age 4 to 12)*

**I Love Math!**My son loves these. Each book has a wide variety of stories (fiction and non-fiction), puzzles, games, and more.

**Chapter Books**

**, by Malba Tahan**

*The Man Who Counted*
(ages 6 to adult)

Written in Brazil, set in the Middle East, these stories follow the adventures of Beremiz, an accomplished mathematical problem-solver. He uses math to settle disputes, solve riddles and mysteries, and entertain his hosts. The series of 34 adventures, each with a math puzzle, is reminiscent of the Arabian Nights. If you read one chapter a night, your audience will be begging for more – and isn’t that the way it should be?

Written in Brazil, set in the Middle East, these stories follow the adventures of Beremiz, an accomplished mathematical problem-solver. He uses math to settle disputes, solve riddles and mysteries, and entertain his hosts. The series of 34 adventures, each with a math puzzle, is reminiscent of the Arabian Nights. If you read one chapter a night, your audience will be begging for more – and isn’t that the way it should be?

**, by Glory St.John**

*How to Count Like a Martian**(ages 7 to 12)*

A really good way to understand place value is to work with
other number bases.

*How to Count Like a Martian*is a detective story in which the history of other number systems plays a starring role.
Numbers… And so you research the number systems that have been
used on Earth, hoping that will help you decipher this message. The book
proceeds to explain eight different counting systems, including the
abacus, and computers.

In the process, the concepts of place value (she just calls it place), base, and zero are explored. By the end of the book, you can see that the beeps and bee-beeps of the message you received are just the counting numbers, Martian style.

*How to Count Like a Martian*was written in 1975, when there were still dials and tape recorders. those two items may be the only evidence of its age. I wonder if young kids will like it as much as I do. Please let me know if your kid loves this book.

**, by Hans Magnus Enzensberger**

*The Number Devil*
(ages 7 to adult)

The Number Devil visits Robert in his dreams, and gets him thinking about the strangest things! Rutabaga numbers and prima donnas (roots and primes) are just the beginning. Anyone who'd like a gentle introduction to lots of interesting math topics will enjoy this one.

The Number Devil visits Robert in his dreams, and gets him thinking about the strangest things! Rutabaga numbers and prima donnas (roots and primes) are just the beginning. Anyone who'd like a gentle introduction to lots of interesting math topics will enjoy this one.

**, by Philip and Phylis Morrison**

*Powers of Ten*
(ages 6 to adult)

The first photo shows a couple having a picnic. It's shot from one meter above them. The next is from 10 meters, then 100. After we've traveled to the edge of the universe, we come back to the couple, and zoom in. Each page has one large photo, and explanatory text about what can be seen at that level. Way back when I first began teaching (in the ‘80’s), I showed a film version of this to junior high students. Now you can watch it on Youtube.

The first photo shows a couple having a picnic. It's shot from one meter above them. The next is from 10 meters, then 100. After we've traveled to the edge of the universe, we come back to the couple, and zoom in. Each page has one large photo, and explanatory text about what can be seen at that level. Way back when I first began teaching (in the ‘80’s), I showed a film version of this to junior high students. Now you can watch it on Youtube.

*, by Adele Griffin (age 8 to adult)*

**Hannah, Divided**Hannah has a special gift for numbers. This sweet, simple story, set in the 30's, shows us the world from the point of view of a girl whose eccentricities aren't noticed much, until she goes to the big city to learn more math.

**, by Jean Lee Latham (any age)**

*Carry On, Mr. Bowditch*This is a fictionalized account of the life of Nathaniel Bowditch, who loved math, but had to leave school when his family needed his help. He was indentured to a ship chandlery for 9 years. Although that dashed his hopes of someday going to Harvard to study math, it was the right place to learn the mathematics behind navigation. When he finally went to sea, he invented a new way to ‘do a lunar’, and spent endless hours correcting errors in the tables used for navigation. Bowditch’s book, the American Practical Navigator, first published in 1902, is still regularly updated, and is carried on U.S. naval vessels to this day.

*, by Marilyn Burns*

**Math for Smarty Pants**

*, by Marilyn Burns*

**The I Hate Mathematics! Book**

*Family Math*

**Older Kids & Adults**

*, by Sarah Flannery (?)*

**In Code****and**

*Math Girls***, by**

*Math Girls 2**Hiroshi Yuki*

The unnamed protagonist is a boy in high school who loves math. He helps Tetra with her math, and is challenged by the problems Miruka poses.

*In*

*Math Girls 2*, a few more girls join the gang. The math is challenging in these books, and the storyline makes it all the more fun.

**, by Harold Jacobs**

*Mathematics: A Human Endeavor*
This one is a textbook, and it's delightful. The first chapter, on inductive and deductive reasoning, uses pool tables to get the reader thinking about patterns. Chapters on sequences, graphing, large numbers, symmetry, mathematical curves, counting (permutations and combinations), probability, statistics, and topology round out an introduction to a wide variety of math topics, accessible to beginners.

**by Transnational College of LEX**

*Who Is Fourier?***, by Michael and Ellen Kaplan**

*Chances Are: Adventures in Probability*
History, philosophy, science, and statistics all come together in this delightful exploration of probability.

**, by Joseph Mazur**

*Euclid in the Rainforest*
Logic, infinity and probability are the topics. Adventures in Venezuela, Greece, and New York furnish the background. Mazur has wide-ranging interests, and skillfully brings the math to life.

**, by Edward MacNeal**

*Mathsemantics*
This book has one great chapter on estimation that’s worth getting the whole book. He talks about having a semantic web in your head that includes a few important numbers, like: population of the earth, population of the U.S., population of your state, and radius of the earth. Then he recommends estimating often, committing to your estimate somehow, and then finding out the real value of what you estimated. For example, estimate your arrival time when you're in the car, tell the person next to you, and notice the time when you do arrive at your destination.

**, by Paul Zeitz**

*The Art and Craft of Problem-Solving*
How do you go about solving challenging problems? Zeitz discusses tools, tactics, and strategies, and offers a rich storehouse of very challenging problems.

**, by Donald Knuth (requires well-developed math skills)***Surreal Numbers*
This book requires lots of work, doing the math, and what fun work it can be! Alice and Bill are enjoying their extended vacation on an isolated tropical beach, but are getting a bit bored, when they discover a rock with two 'rules' on it. Conway has invented number through these two rules, and Alice and Bill (and the reader) are sucked in, trying to figure out how it all works. This is higher math.

**, by Robert Kanige**

*The Man Who Knew Infinity: A Life of the Genius Ramanujan*
This story would be unbelievable if it were fiction or even slightly fictionalized. Ramanujan was too focused on his own mathematical work to do well in school - he was kicked out college when he failed exams in his other subjects. It took him years of working as a clerk to support himself before he managed to catch the attention of a famous mathematician in England, G.H. Hardy, whose interest in him suddenly changed his life. A year later he would sail to England to begin with Hardy the work of making his mathematical results comprehensible to others.

**, by Apostolos Doxiadis***Uncle Petros and Goldbach’s Conjecture*
Uncle Petros is a recluse. Our hero, his nephew, is trying to discover his secrets. It seems he was close to solving Goldbach's conjecture, that every even number greater than 2 is the sum of two prime numbers. There is just a tiny bit of math in this, but lots of (slightly twisted) history of math. (Includes a few adult sexual scenes.)

## Math Education

**, by Stephen Brown**

*The Art of Problem Posing***, by Marilyn Burns**

*Math: An American Phobia***, by Robert and Ellen Kaplan**

*Out of the Labyrinth: Setting Mathematics Free***, by Patricia Kenschaft**

*Math Power: How to Help Your Child Love Math, Even If You Don't***, by Liping Ma**

*Knowing and Teaching Elementary Mathematics***, by Seymour Papert**

*Mindstorms***, by Nancy Rosenberg**

*How to Enjoy Mathematics With Your Child*
You can also find hundreds of suggestions at Julie Brennan's livingmath.net, and at Cindy's blog, Love to Learn Today.