Review of Greater Estimations, by Bruce Goldstone

Children's Nonfiction Review, Mathematical, Stand-outs, Starred Review 0

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Greater Estimations

by Bruce Goldstone

Henry Holt and Company, New York, 2008.  32 pages.

Starred review.

2009 Sonderbooks Stand-out: #3 Children’s Nonfiction

This book is fascinating.  I brought it to a staff meeting, and my co-workers couldn’t resist looking through the pictures.  I’d enjoy doing a program around this book.

Greater Estimations presents photographs of large quantities of things — rubber duckies, popcorn, parachuters, honeybees, plastic animals, and many other things — and shows the reader strategies for estimating how many there are.  The author also talks about estimating length, height (of buildings), weight (of dogs), area, and volume.

This book can capture your attention for a long time, and if it gets you curious about quantity, the author will have achieved his goal.  He also teaches you ways to satisfy that curiosity on your own.

I find myself wishing that Bruce Goldstone had placed some answers in the back of the book.  I do appreciate his point that estimation is NOT about getting exact answers.  But I do wish he’d given feedback on a few more pages to have some idea if my ability to estimate was improving as a result of his hints.

Anyway, in life you don’t get answers given to you.  This book gives you tools to help you figure out an approximate answer to numerical questions all by yourself.

Buy from Amazon.com

Find this review on the main site at:

www.sonderbooks.com/Childrens_Nonfiction/greater_estimations.html

Review of The Cat in Numberland, by Ivar Ekeland

Children's Nonfiction Review, Mathematical 0

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The Cat in Numberland

by Ivar Ekeland

illustrated by John O’Brien

Cricket Books, Chicago, 2006.  60 pages.

I love this book!  It takes the concept of “countability” which I learned about in upper division math classes and graduate school, and makes those concepts accessible and understandable for elementary school children!

It starts with a hotel in Numberland, run by Mr. and Mrs. Hilbert.  The Numbers all live in this hotel, the Hotel Infinity.  Number One lives in Room 1.  Number Two lives in Room 2, and so on.  “For instance, Number One Million Two Hundred Thirty-Four Thousand Five Hundred Sixty-Six lives in Room 1,234,566.”

The numbers have certain games they like to play together, and there are certain quirks to the owners.

Some more fun begins when Zero comes to visit and wants to stay, but the hotel is full.  How could they possibly fit him in?

They come up with an ingenious solution:

“Everyone moves up one room:

Number One moves to Room 2,

Number Two moves to Room 3,

Number One Million Two Hundred Thirty-Four Thousand Five Hundred Sixty-Six moves to Room 1,234,567, where he finds a bigger bed and is more comfortable.

Room 1 is now empty, and Zero moves in and goes to sleep.

All the other Numbers go back to sleep in their new rooms, and Mr. and Mrs. Hilbert go back to sleep in their old room.

Only the cat by the fireplace does not go back to sleep, because she is trying to figure it out.

The hotel was full, she thinks.  There was one guest in each room.  Now it is full again, and there is still one guest in each room, but there is one more guest in the hotel!  Zero was outside.  Now he has moved in, and yet nothing has changed!  How is that possible?”

This is only the beginning of the perplexities facing the cat at this amazing hotel, based on the work of great mathematicians Georg Cantor and David Hilbert.

I find this book absolutely delightful!  I wish it had been around when I was taking Real Analysis.  Or, better yet, when my little boy was obsessed with infinity, and kept inventing “numbers” that were “bigger than infinity.”  I think he would have enjoyed this story.

Buy from Amazon.com

Find this review on the main site at:

www.sonderbooks.com/Childrens_Nonfiction/cat_in_numberland.html

Review of The Oxford Murders, by Guillermo Martinez

Fiction Review, Mathematical, Mystery 0
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The Oxford Murders
by Guillermo Martinez
translated by Sonia Soto

Reviewed September 17, 2007.
MacAdam/Cage, San Francisco, 2005. 197 pages.

This delightfully philosophical murder mystery was written by a man from Buenos Aires with a PhD in Mathematics. Of course I liked it!

The character telling the story is a PhD student from Argentina studying at Oxford. He’s staying in an apartment owned by the widow of a great mathematician. One day, soon after he arrived at Oxford, he encounters an eminent logician and together they discover the old woman dead, murdered.

The murderer has left a note, apparently a challenge to Dr. Seldom, the logician. The note refers to the murder as the first of a series, and includes a symbol, a circle. Sure enough, there’s a second murder, along with the symbol of a fish, drawn from two curved lines.

Part of the fun is this book is the mathematical aspects of the case. Dr. Seldom explains that they still don’t have enough information to determine the next symbol in the series. In fact, they can never be absolutely sure they have found what the murderer is thinking of. But perhaps if they can figure out the next item in the series, they can solve the crime.

I thoroughly enjoyed this story, a good mysterious puzzle, as well as some interesting things to think about.

This review is on the main site at:

www.sonderbooks.com/Fiction/oxford_murders.html