Category: Mathematical

The Power of Snow

by Bob Raczka
illustrated by Bryony Clarkson

Millbrook Press, 2023. 36 pages.
Review written November 9, 2023, from a library book.
Starred Review

This book is a very simple picture book that demonstrates exponents with snowflakes — on each page, the number of snowflakes doubles.

The main text is simple rhymes. The first few spreads go like this:

Two flakes play.

Four flakes sashay.

Eight flakes twirl.

Sixteen flakes swirl.

On the opposite page from the main text, we’ve got the number of snowflakes expressed with numerals and equations, like this:

2⁷ = 2 to the seventh power

2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

The scenes behind the snowflakes look like suburban backyards, with at least one animal visitor on each page.

The most wonderful thing about this book is that the illustrator worked to get exactly the right number of snowflakes on each page. Here’s what she says in a note at the back:

Creating the art for The Power of Snow presented one tricky problem: how to show the correct number of snowflakes on each page. For this book, it was important to get the math right! Of course, the first few pages were easy. But as the quantity of flakes increased, it became much harder to count them all. So I worked out a plan. The images were created using different layers, kind of like clear sheets with different parts of the art on each one. I created a certain number of flakes on one layer. Then I duplicated this layer, flipping, scaling, and rotating it to give a natural look. Duplicating the layer allowed me to multiply the exact number of flakes as I worked. I could then add the more detailed snowflakes, counting these out individually to get to the total number. As with real snow, once the flakes became tiny and overlaid, some appear to blend together — but they are all there!

The effect is that you won’t be able to count all 16,384 flakes on the page for 2¹⁴, but you can definitely get the idea.

Okay, my first reaction to this book is that it’s for a young reader — primary grades or even preschoolers who haven’t learned to multiply yet, so why are they illustrating exponents to such young readers? I do wish the word “doubled” was used, instead of relying on the multiplication notation.

But then I think about the things I showed my own kids when they were young, and I’m sure that kids exposed to this book will have an easier time understanding exponents later. In fact, hmmm, this might be a wonderful gift for my four-year-old nephew who has two big sisters. When they read it to him, they will pick up the ideas… and he will think exponents are the most natural thing in the world when it finally comes time to learn about them in school.

Yeah, I think I’m won over. Doubling before your eyes!

bobraczka.com
bryonyclarkson.com
lernerbooks.com

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Find this review on Sonderbooks at: www.sonderbooks.com/Childrens_Nonfiction/power_of_snow.html

Disclosure: I am an Amazon Affiliate, and will earn a small percentage if you order a book on Amazon after clicking through from my site.

Disclaimer: I am a professional librarian, but the views expressed are solely my own, and in no way represent the official views of my employer or of any committee or group of which I am part.

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Infinity

Figuring Out Forever

by Sarah C. Campbell
photographs by Sarah C. Campbell and Richard P. Campbell

Astra Young Readers, 2022. 32 pages.
Review written December 22, 2022, from a library book
Starred Review

Kids are fascinated by infinity. Well, my kids were fascinated by infinity, anyway. But more kids can hear about the ideas behind infinity and become fascinated with the help of this simple picture book.

I like that the illustrations are photographs, helping kids grasp that the idea of infinity is all around us. There’s a picture of a kid sitting between two mirrors and looking into them. There are pictures of starry skies, flocks of birds, and leafy trees. On another page, they’ve written out a googol.

But the book also makes clear that infinity isn’t just big numbers. They also demonstrate an orange slice, with half taken away, then half of that taken away, and so on.

Thinking about infinity is tricky. You have already thought of a large number and added one, but that might lead you to make the mistake of thinking infinity is something really, really big. Remember, though, infinity is not something big. Infinity is endlessness.

They tie it up by saying that even though the stars in the sky are finite, your mind has no limits.

The back matter is fun because it includes the ideas of Hilbert’s Hotel as an infinite school with infinite school buses arriving. It’s kind of a shame it’s buried in the back matter — but if this intrigues your kid, they need to find a copy of The Cat in Numberland, by Ivar Ekeland, where the whole book explores those ideas, and why adding infinity to infinity can just be infinity.

Overall, the book is a straightforward introduction for kids. The photo illustrations make it extra inviting.

sarahccampbell.com
astrapublishinghouse.com

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Find this review on Sonderbooks at: www.sonderbooks.com/Childrens_Nonfiction/infinity.html

Disclosure: I am an Amazon Affiliate, and will earn a small percentage if you order a book on Amazon after clicking through from my site.

Disclaimer: I am a professional librarian, but the views expressed are solely my own, and in no way represent the official views of my employer or of any committee or group of which I am part.

What did you think of this book?