
Exploring
Funville Adventures

The Story Behind the Book
I started sharing my love of math with my children when they were very young. My daughter Katie loved role playing so she would turn everything into a story.
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When Katie was 4, I introduced her to the concept of a function, and we both had a lot of fun coming up with functions and making up stories about them. This game gave me the idea of writing a story that would introduce children to the concept of a function.

I knew that I wanted to write a book for children, rather than a book telling parents how to do math activities with their children. This way, the book could reach children more directly, take the burden off the parents, and put the children in the driver’s seat.
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I reached out to my friend Allison, who shared my vision that mathematics could be taught to children in a way that connected more with their natural creativity. Like my daughter, Allison had grown up loving stories, and was excited by the idea of creating a book that would blend mathematics and storytelling.
~ Sasha Fradkin, Co-Author of Funville Adventures
The Story in the Book
After 9-year old Emmy and her 5-year old brother Leo go down an abandoned dilapidated slide, they are magically transported into Funville: a land inhabited by ordinary looking beings, each with a unique power to transform objects. The siblings discover that Funville is full of surprises; one never knows when something will be shrunk,

flipped upside down,

As Emmy and Leo explore this exciting new world, befriending many Funvillians along the way, they discover that despite being able to do some very impressive tricks with their powers, Funvillians often get stumped by situations requiring more than just the straightforward use of a single power. Emmy and Leo think outside the box to solve problems by using combining multiple powers, as well as using ideas that do not involve powers.
Take a listen

or turned into an elephant!

The Story within the story in the Book
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While on the surface, Funville Adventures is just a fairy tale, the powers of the Funvillians are a vehicle for introducing children to the concept of a function. Each power corresponds to a transformation such as doubling in size, rotating, copying, or changing color.
There is even a Funvillian whose power is to change other Funvillians’ powers. Some Funvillians have siblings with opposite powers that can reverse the effects and return an object to its original state, but other powers cannot be reversed. In this way, we introduce kids to the mathematical concepts of invertible and non-invertible functions, domains, ranges, and functionals without mathematical terminology.
The concept of a function is truly fundamental, and accessible to children from a young age. It is unfortunate that for many of them, their first encounter with it is in high school or late middle school, often in a dry, technical manner. We present this material in a form that will appeal not only to kids already interested in math, but also to who are missing out on mathematical adventures.