How Did You Count?

?I hope that this Teacher?s Guide supports your own inquiry into children?s mathematics, and I hope that the images elicit brilliance from the children you do math with?wherever you and they may count.?

From the author of the award-winning Which One Doesn?t Belong? and How Many? comes How Did You Count?, the latest title in Christopher Danielson?s collection that is sure to spark conversation, questioning, and wondering amongst both younger and older students alike. 

In this innovative Teacher?s Guide, Danielson gives you the tools you need to both begin and dig deeper into the How Did You Count? routine. In clear, accessible language, Danielson discusses the mathematical ideas likely to emerge on each page of the How Did You Count? picture book and helps you anticipate and understand your students? likely answers. Through classroom stories, he models listening to, talking about, and delighting in students? ideas around counting, numbers, and operations. 

Reading this Teacher?s Guide alongside your copy of the How Did You Count? children?s picture book will help you and your students discover together how the beauty of counting and numerical relationships and structure extends far beyond 1, 2, 3. 

This listing includes both the Teacher's Guide and a hardcover copy of the How Did You Count? picture book.

"How Did You Count? is a gorgeous and inviting picture book for all ages. And then there?s the Teacher?s Guide?packed with thoughtful and accessible pedagogy. It?s like sitting down to a stunning omakase meal, savoring every bite, and then the itamae hands you their personal guide to sushi-making, inviting you to create your own magic. Full tummy, full heart, and full of inspiration."

?Fawn Nguyen

"Another gem from Christopher Danielson, with all his usual hallmarks: delightful and insightful, playful and profound, everything that math should be."

?Eugenia Cheng, author of Is Math Real?

"This work is important for anyone privileged enough to cross mathematical paths with thinking children. A perfect addition to his previous works, Danielson unpacks the act of counting in a manner that is inviting, immersive, thorough, and whimsical. How Did You Count? only strengthens my assertion that no one has deepened my appreciation for a child?s mathematical mind more than Christopher Danielson."

?Nat Banting, Mathematics Teacher, 2019 Rosenthal Prize Winner, 2021 Prime Minister?s Award for Teaching Excellence in STEM

"Another pair of gems from Christopher Danielson! Full of deep provocations to mathematical thinking, and guidance to where that thinking can go. An incredibly useful resource for anyone interested in deepening young people?s mathematical thinking and discussion."

?Simon Gregg

"Christopher Danielson's How Did You Count? invites families, kids and teachers into math conversations about counting, number, structure, and strategy. His writing is so clear and uncluttered, and the photos?beautiful images from Asha Belk?are so inviting and natural that the book effortlessly achieves what can often seem impossible: it's a nearly effortless way to start talking and thinking about math in meaningful and rich ways. If you want to dive into the details, the Teacher's Guide is a primer on the development of counting and number (with connections to some surprisingly deep mathematics!) which is happily readable and gives a sense of just how much subtlety went into creating the images. Anyone familiar with Danielson's other work?How Many?, 21st Century Pattern Blocks, tiling turtles, etc.?will be delighted with How Did You Count? Anyone looking to get kids talking about math has an invaluable new resource at their disposal."

?Dan Finkel