This week Caramel is talking about The Boy Who Dreamed of Infinity, written by Amy Alznauer and illustrated by Daniel Miyares, the beautifully told and magically illustrated story of the mathematician Srinivasa Ramanujan. As usual Sprinkles is taking notes and asking questions.
Sprinkles: So Caramel tell us about this book.
Caramel: You say that all the time!
S: I know, right? I do that because I think that is a good way to get you to start talking about the book. So?
C: Hmm, let me think a bit. This book is about a boy who went to school but his math is far more advanced than his classmates’.
S: So what does he do with that math?
C: He keeps on writing in a notebook, doing more and more math. And then he gets another notebook and writes in it.
S: So he is doing math almost compulsively. He seems like he cannot stop himself, right? He is driven to do math.
C: Yes. He sees numbers everywhere and then he opens up, divides, or cracks up the numbers to find more numbers in them.
S: Right! I liked the way the author put it (and this is also in the back cover of the book):
If Ramanujan could crack the number 1 open and find infinity, what secrets would he discover inside other numbers?
C: So why did he do math? Because he had to.
S: What do you mean? Is someone forcing him to do math?
C: No he wants to do it. And he cannot stop doing it. It’s almost compulsive.
S: That’s a big word for a little bunny Caramel!
C: I know. I do read a lot.
S: So the title of this book is The Boy Who Dreamed of Infinity. This reminds me of the book with a similar title: The Man Who Knew Infinity, by Robert Kanigel. That book is also about Ramanujan, but it is not a beautifully illustrated book for kids like this one. And that book tells us about Ramanujan’s whole life while this one is more about him as a little boy when he was dreaming math and finding it all around him.
C: Oh that is interesting. I think I remember us watching a movie with that name.
S: You have a good memory!
C: Can we put in the trailer here?
S: Sure. Here we go.
S: So tell me more about this book. Do you like the pictures?
C: Yep. They are very detailed, and they are like they are from a dream. There are two pages where the boy is dancing around and jumping over numbers.
S: Yes, that page especially but the rest of the pictures are also dreamlike. The colors and the combination of images… But back to that page where Ramanujan is jumping around numbers: Can you imagine yourself jumping and flipping around numbers?
C: Of course! I like jumping! I’m a bunny!
S: That is true! Here is my last question: What does this book make you think about math?
C: Multiplication and division and addition, and numbers, and infinity.
S: Does it make you like them? Do you feel like you could enjoy playing around with numbers?
C: Yes, I already do! I like math!
S: That is great! Ok, this is a good time to wrap things up.
C: I want to rate this!
S: Ok. Give me three words that describe this book.
C: Detailed, mathematics, beautiful.
S: These are good descriptors for the book. I agree. I’d add “dream, infinity, imagination”. So what do we say to end this review?
Caramel just got his paws on a new book from Natural Math, the good folks who publish fun mathy books for kids. (Marshmallow has reviewed a book from them before; see her review of Funville Adventures by A.O. Fradkin and A.B. Bishop.) Below he shares his thoughts on Ying and the Magic Turtle, written by Sue Looney, and illustrated by Jessica and Joey Looney. As usual Sprinkles is taking notes and asking followup questions.
Sprinkles: So Caramel what do you want to tell us about this book?
Caramel: This is a book about a little Chinese girl named Ying. She is smarter than soldiers.
S: Where do the soldiers come into her story?
C: It is not all about her.
S: So what is the book about?
C: It is about this river god Hebo, who has a really bad temper. He needs to learn anger management.
S: We read several books about anger management before. And you reviewed some, too, for this blog.
S: You are a funny little bunny Caramel! So what happens with this angry god?
C: So the god gets angry and floods all the villages. And then a turtle comes out of the river, so the Emperor’s men think it means they need to give Hebo a royal gift. And Ying sees that the turtle has an interesting pattern on its shell.
S: So is that where the math comes in?
C: Yep. It’s a magic square!
S: What is a magic square?
C: Let me read to you from the book:
Magic squares are square grids where one number s placed in each box of the grid. The numbers placed in the boxes are consecutive numbers from one up to the total number of boxes in the square. For example in a 3×3 magic square there are nine boxes; therefore each number (one through nine) is placed in one of the boxes. When placed correctly, the sum of these numbers is the same for all rows, columns, and diagonals. This sum in a 3×3 magic square is always 15.
S: So what happens next?
C: The next day the turtle comes out again. The emperor’s men think it means Hebo wants four gifts because the turtle has four legs.
S: But Ying knows better, right?
C: Yes. She solves the magic square. And so she saves the villages.
S: Did you know what a magic square was before reading this story, Caramel?
S: So this was a neat way to learn about them, no? Apparently according to Wikipedia, the three by three magic squares were known to Chinese “as early as 190 BCE”. And magic squares are fun to play with. And there are some fun problems at the end of the book if you want to play with them. Did you solve any of the problems in the book?
C: Yes. I solved all of them. Ok, all except one. There is also a section “Origin of the Story” where we learn about the history of the problem.
S: Yes, apparently this story is inspired by an ancient Chinese legend. Isn’t that neat?
C: It is! And this is a neat time to end this review. So stay tuned for more book bunnies adventures!
Sprinkles reviews Shelly M. Jones’ book Women Who Count: Honoring African American Women Mathematicians (illustrated by Veronica Martins).
Sprinkles got her paws on Dr. Shelly M. Jones’ book Women Who Count: Honoring African American Women Mathematicians (illustrated by Veronica Martins) recently and enjoyed it so much that she wanted to review it here. Below is her review. Enjoy!
There have been several books and films about African American women mathematicians and their contributions recently, following the release of the amazing 2016 movie Hidden Figures. A well-rounded collection of books, toys, and posters celebrating Katherine Johnson is reviewed at the A Mighty Girl blog. I have mentioned a couple of related books here myself at the end of my review of children’s books about Ada Lovelace. But the book I am going to tell you about today is a quite different type of book. And I believe any parent wanting to encourage their young ones to find joy in mathematics and learn about possibilities of a wide range of futures in STEM might appreciate this book.
The book introduces through brief biographical essays and clean illustrations a selection of 29 African American women who have found their career paths through mathematics. Among them are mathematicians, atmospheric scientists, computer engineers, and education researchers. In four sections, the book introduces the first three African American women with mathematics PhDs, nine pioneering mathematicians who led the way for many others along the path to a mathematical career, four of the women making up the six hidden figures in the eponymous 2016 book by Margot Lee Shetterly, and finally thirteen contemporary mathematicians who bring us to today.
Dr. Shelly Jones writes in her introduction:
“I am proud to have the opportunity to share the stories of these 29 extraordinary women so that [you] can benefit from learning about a variety of occupational fields related to mathematics. … You may use this book as a springboard into the world of mathematics. Have you ever heard of a magic square, a tessellation, or sudoku? … There is something for everyone in this book.”
Indeed the book is chock-full of fun activities that will engage young ones (aiming for both elementary and middle school kids here). There are coloring pages, there are puzzles and mazes, and there are learning activities about a range of mathematical topics which are typically not a part of a school curriculum but will be accessible to and entertaining for young people.
But of course this is not just a standard math-is-fun activity book. The author adds in her introduction:
“Have fun doing the activities, but don’t forget to read and learn about these wonderful women who happen to love mathematics!”
And that is what makes this book special. The stories of these women are inspirational and inviting. The reader is invited to think about mathematics as an exciting career path, or, perhaps more accurately, as a gateway to many different exciting career paths. In particular, seeing the illustrations of these women (and photos of the contemporary ones) might help all children see mathematics as a real possibility for themselves and their friends. As Dr. Reagan Higgins, one of the women portrayed in this book writes:
“It is important we show children who and what they can be.”
Children early on start to digest the prevalent societal message that mathematics (and more generally STEM) is for men. Furthermore, standard curricula and mainstream depictions of STEM do not offer young children of color many role models in STEM that they can identify with. This book is a neat addition to kid-friendly content created by people trying to change this status quo.
The activities are not “girly” in particular; boys and girls alike can enjoy them. And it is good for both boys and girls, of any background, to be exposed to examples of mathematicians and mathematical scientists who do not fit stereotypes and societal assumptions of who can do math. I would strongly recommend Women Who Count: Honoring African American Women Mathematicians, written by Shelly M. Jones and illustrated by Veronica Martins. to any parent interested in encouraging their young ones to engage with the ideas and people of mathematics.
Sprinkles reviews children’s books about Ada Lovelace and suggests a few other books on women in STEM.
Ever since the launch of the Book Bunnies blog, Sprinkles has been thinking about what she should post here as her first review. Finally she decided to share a review she had written about several books on Ada Lovelace for a different outlet. Below is a revised version of what first appeared as “Reading About Ada: Children’s Edition” in the Association for Women in Mathematics Newsletter (Volume 49 Number 1 (January-February 2019), pages 9-13). This is long and will be the only post for July 2019; the book bunnies will be back with new reviews in August 2019.
We’re living at a time of many opportunities for people who can code. Today children of privilege begin playing with computers as toddlers. Attempts at leveling the playing field can involve coding camps as well as more traditional STEM-focused enrichment activities. Yet the computer science and engineering workforce remains
heavily male-dominated. So proponents of women in STEM
grasp at any loose end they can find to help alleviate the
dearth of female role models. This is why we’re seeing book
after book written about Ada, the first woman who wrote a
computer program. And she is not only the first woman who
did that, but actually the first person ever. A neat win for the
I completely empathize with this desire to share Ada’s story with younger people. And more generally I’m always on the lookout for books that can open up worlds of opportunity for girls of all ages. Hence I appreciated the opportunity to review several recent books on Ada written for the under-ten age group. The first three books I read belong to special series of books intended to encourage children to learn more about scientists and innovators and their contributions:
Ada Lovelace by Virginia Loh-Hagan (my itty-bitty bio)
(illustrated by Jeff Bane)
Ada Lovelace and Computer Algorithms by Ellen Labrecque
(Women Innovators: 21st Century Junior Library)
Programming Pioneer Ada Lovelace by Valerie Bodden
(STEM trailblazer BIOS)
Loh-Hagan’s book is for the youngest in the crowd. The book is narrated through Ada’s perspective and the plain Ada illustration on the cover appears throughout; there is also a range of images from Ada’s life. Though reading a sentence such as “I died in 1852” feels weird, the open-ended questions throughout try to connect the child reading the book (or being read to) to Ada’s story. Though the story is much simplified, perhaps to the extent of not being com- pletely accurate (Ada Lovelace didn’t “invent” the first computer program, she “wrote” it, and Charles Babbage didn’t “invent the computer” as his work didn’t connect with the actual historical development of computers), it is told in an age- appropriate way to inspire and intrigue.
Labrecque’s book presents itself in a similar vein. Printed in a very large font, it could be read out loud with
a new reader, and the occasional prompts to the reader
sprinkled throughout can make this reading session more
fun and engaging. This book goes into more detail about
Ada and her contributions, and the reader is offered a clearer
idea of what her life’s work was about. Several color photos
and images accompany the text and enrich the reading
experience. A few follow-up resources and activities are
suggested, and I could see an enthusiastic parent or summer
camp instructor turning the book into a cool afternoon full
of learning and fun.
At 28+ pages Bodden’s is a book one could (or should!)
find in any school library. This hardcover chapter book
would be a neat resource for elementary school students
trying to learn about Ada and her contributions; it could
also be a great story to share with that special shy niece
interested in mathy stuff. Many images throughout bring
Ada’s story to life. The section titled “Thinking Like a
Man” openly brings up gender issues and could make a
good conversation starter for pre-teens. This, I believe, is the
most detailed and accurate account of Ada’s story for the
Next are larger-format storybook-style books on
Ada. Each of these would be great to read to or together with
a young child; their beautiful illustrations will add much
joy to the experience.
Ada’s Ideas: The Story of Ada Lovelace, the World’s First Computer Programmer written and illustrated by Fiona Robinson
Ada Byron Lovelace and the Thinking Machine by Laurie Wallmark (illustrated by April Chu)
Who Says Women Can’t Be Computer Programmers? The Story
of Ada Lovelace by Tanya Lee Stone (illustrated by
Ada Lovelace, Poet of Science: The First Computer Programmer by Diane Stanley (illustrated by Jessie Hartland)
None of these goes beyond Bodden’s Programming Pioneer Ada Lovelace in terms of technical details, but the technical details that are included are dispensed in perfectly digestible amounts. This makes the books not only fun to read but also intellectually stimulating. Interestingly, they all seem to be fascinated by nine-year-old Ada’s efforts to design and construct a flying machine; this plays an important role in each of the four books. The sheer beauty of illustration in each book also makes these great gifts for young children and the adults who enjoy reading with them. The expert illustrations range from the realistic (in Wallmark and Chu’s Thinking Machine) to the whimsical (Stone and Priceman’s Who Says Women
Can’t Be Computer Programmers?). Most play with the
contrast of the poet’s imagination with the mathematician’s
strict discipline, and all successfully combine the two in
But what to do with that special little person who read several of these books and wants to know more about Ada? Here let me tell you one thing: Whatever you do, don’t jump into any random book about Ada with your youngster, without first reading it on your own. Otherwise you just might find yourself, like I did, in some very awkward territory, where you need to either explain, or explain away, or simply skip through large portions of exposition, which go beyond PG-13. Yes, Ada’s life is inspiring to children, but it also contains a lot of messy bits for the adults.
Indeed, it saddens me to acknowledge that children only get to hear part of Ada’s story. Ada’s life is complex, and as you immediately discover when you dig into the juicy details, she certainly didn’t do everything right. She was ambitious and confident. She had vision and she had sass. She was also the person who wrote the very first computer program. But Ada is an ideal role model for more than just the above. Yes, she was brilliant. But she was also a failed genius, and this time, she is on our team. Except for her gender, Ada’s story resembles the stories of any of those wild geniuses appreciated not only for their achievements but also for their larger-than-life personalities. And how many such stories do we have with female protagonists? How many others like her can you count? A female genius, who was brimming with potential and yet was mostly misunderstood and unappreciated during her time? An extraordinary figure, one who saw farther than her peers, one who basically squandered her voluminous talents because she was just interested in way too many disparate things?
The standard simplified Ada story tells us that she was a genius who wrote the first computer program. A similarly simplified story could tell us alternatively that she ended up doing nothing impactful, that her work and that of Charles was not what led to today’s computers, so that overall, she was a failure. Another simplified story could badmouth her mothering, her wifely skills, and her “loose attitude” with other men and tell us a tale of immorality in the grandeur of Victorian England. (Valerie Aurora in her amazing talk explores these different stories about Ada and encourages us to accept the complexities of her life instead of trying to fit her into a straitjacket.)
The story most people would choose to tell their children is the first one. However, for those children ready to take on a more complex persona and engage with her fully, some grownup books might help. The one I’d recommend for people who might also enjoy reading along to learn some of the math Ada was engaged in is Ada Lovelace: The Making of a Computer Scientist by Christopher Hollings, Ursula Martin, and Adrian Rice. The authors are historians of mathematics and computer science and have dug deep into the archives and brought us a mathematically rich and yet a most readable account of Ada.
But maybe you don’t want to go there. Then, why not expand your little ones’ horizons and introduce them to other amazing women? Here are three of my other favorites if you want a break from Ada:
Nothing Stopped Sophie: The Story of Unshakable Mathematician Sophie Germain by Cheryl Bardoe (illustrated by Barbara McClintock) – about Sophie Germain
The Girl with a Mind for Math: The Story of Raye Montague by Julia Finley Mosca (illustrated by Daniel Rieley) – about Raye Montague
Counting on Katherine: How Katherine Johnson Saved Apollo 13 by Helaine Becker (illustrated by Dow Phumiruk) – about Katherine Johnson
And for neat collections of short bios, you will not go wrong with either of the two volumes of Good Night Stories for Rebel Girls by Elena Favilli and Francesca Cavallo; if you’re especially rooting for math, don’t miss the second volume, with its portrayal of Maryam Mirzakhani.