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Which One Doesn't Belong?: Playing with Shapes

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Talking math with your child is simple and even entertaining with this better approach to shapes!

Written by a celebrated math educator, this innovative inquiry encourages critical thinking and sparks memorable mathematical conversations. Children and their parents answer the same question about each set of four "Which one doesn't belong?" There's no one right answer--the important thing is to have a reason why. Kids might describe the shapes as squished, smooshed, dented, or even goofy. But when they justify their thinking, they're talking math! Winner of the Mathical Book Prize for books that inspire children to see math all around them.

"This is one shape book that will both challenge readers' thinking and encourage them to think outside the box."-- Kirkus Reviews , STARRED review

40 pages, Hardcover

Published February 12, 2019

4 people are currently reading
49 people want to read

About the author

Christopher Danielson

16 books6 followers

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5 stars
55 (46%)
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40 (33%)
3 stars
22 (18%)
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Displaying 1 - 30 of 32 reviews
Profile Image for Beth.
3,076 reviews229 followers
February 18, 2019
You know how standardized tests project that there is only one answer on a multiple choice question even if more than one of the choices seem plausible? Yeah, well this book spits in the face of that and I love it.
Profile Image for Cindy Mitchell *Kiss the Book*.
6,002 reviews220 followers
November 9, 2019
Which One Doesn’t Belong: Playing with Shapes by Christopher Danielson. PICTURE BOOK. Charlesbridge, 2019. $16. 9781580899444

BUYING ADVISORY: EL (K-3) – OPTIONAL

AUDIENCE APPEAL: LOW

This book features pages with four shapes and the simple questions of which shape doesn’t belong and why. It provides an example at the beginning with lots of interesting perspectives. It asks readers to be creative and think outside of the box. The pages seem to get more challenging as the book goes on and will require even more creative thinking.

Don’t get me wrong, this book requires some excellent thinking skills. That being said, its boring. I think most students would rather solve who do-its, riddles, and puzzles. I can see a teacher using this book selectively as a challenge at the start of a shape lesson, but as a whole I think a student would read this book and feel like they were doing homework.

Reviewer: Stephanie MLS & Author.
https://kissthebookjr.blogspot.com/20...
Profile Image for Rose Rosetree.
Author 15 books468 followers
September 6, 2024
Behold, a kid's book by a master educator. What a treat!

The Goodreads Blurber has brought a concise description of the Method Behind the Sanity. To change one word from the famous quote from "Hamlet." I'll quote it below.

First though, a fun fact: The original quote about "method to his madness" came from the character named Polonius:

“Though this be madness, yet there is method in't.” That said . . . .

HERE'S THE METHOD BEHIND THIS DECEPTIVELY SIMPLE BOOK

Written by a celebrated math educator, this innovative inquiry encourages critical thinking and sparks memorable mathematical conversations. Children and their parents answer the same question about each set of four "Which one doesn't belong?" There's no one right answer--the important thing is to have a reason why. Kids might describe the shapes as squished, smooshed, dented, or even goofy. But when they justify their thinking, they're talking math! Winner of the Mathical Book Prize for books that inspire children to see math all around them.

I just love it when the author writes:
"All these answers are correct." And then he explains why.

FIVE STARS for the rare treat of a kid's book that is so pedagogically sophisticated.
Profile Image for Vernon Area Public Library KIDS.
931 reviews43 followers
February 10, 2020
Each page of shapes is accompanied with questions that help children practice critical thinking, utilize mathematical vocabulary, and identify sameness and difference. When there is no "right" reason, children will feel empowered to speak up and share their answers in a group setting. A great book to begin the school year and encourage class participation from the start.

Reviewed by: Miss Kelsey, Youth and School Services, Vernon Area Public Library
Profile Image for Allie.
1,426 reviews38 followers
March 17, 2020
I really love Christopher Danielson's How Many? and this one is also fun. But it's also maddening!!! Connor and I looked at it together and tried to find a difference for each shape on every page and we FAILED! It was really hard!! Still really fun though and I would love to dive in with a kiddo.
Profile Image for Shannon.
2,135 reviews63 followers
March 6, 2019
Math should be playful! Divergent thinking is a skill that crosses disciplines, and this book is a great introduction. There are four shapes that share both commonalities and differences, and readers are encouraged to explain their thinking, regardless of the one they select. Bravo, Christopher!

Disclaimer: The author is one of my mathematical heroes.
This entire review has been hidden because of spoilers.
Profile Image for Aliza Werner.
1,047 reviews105 followers
March 16, 2019
This is a perfect book for kids learning geometry. Each page presents 4 shapes and asks which one doesn’t belong. The best part is you can make a case for any of the shapes based on different features (sides, edges, size, etc). This lets kids really think about and play with mathematical ideas. I would definitely use this with my 3rd graders.
Profile Image for K C.
21 reviews2 followers
May 9, 2019
I thought I would never have a favorite children's nonfiction book. I lied. I don't even like math but iIreally love this book. It encourages kids to expand on the notions of what adults might think to be obvious and shows the reader how all ideas are important and valued. It also just lets kids get really creative and helps them verbalize their reasoning.
Profile Image for Bethe.
6,888 reviews69 followers
June 15, 2019
Bookaday #19. Love the open endedness of this book, asking the reader to pick the one that doesn’t belong, and then to justify the answer. The author note at the end honors all sorts of math vocabulary including smooshed, dented, curvy, and cupcake! Can’t wait to use this with PreK and their shapes unit, or even older students talking sides, angles, and other properties.
Profile Image for Alice.
4,305 reviews37 followers
October 26, 2019
What I like about this book is that there is no wrong answer as long as you can say why you think it is the answer!
I am sure my answer, and your answers are different! BUT you have to say WHY!
Great thinking and logic exercise!
Profile Image for Lannie.
511 reviews8 followers
January 28, 2021
Playing with patterns hasn’t ever been this fun! There was much joy and value found in watching your child’s thinking process in real time, and the opportunity for them to come up with more than one right answer, often ones I didn’t catch! Great exercise in “there’s not always one right answer.”
Profile Image for Kimberly.
4,185 reviews96 followers
May 21, 2019
Interesting concept. I can see this working well with 1st or 2nd graders. I'm not sure my preschooler would get it...he still likes one clear-cut answer.
Profile Image for Lagobond.
487 reviews
March 8, 2020
Very cool book that encourages observation, thinking, and discussion rather than presenting "ironclad" facts for kids to parrot. I love it.
Profile Image for KaitandMaddie.
4,259 reviews12 followers
March 20, 2021
This was awesome. You get four shapes and there’s now right answer as to which doesn’t belong, there’s just your answer and explanation.
Profile Image for Randi.
695 reviews4 followers
June 7, 2023
This is a really neat concept that I look forward to reading again with my kiddo when they’re a bit older.
458 reviews
November 6, 2024
An interesting book that encourages discussion and defending a position. May be too complicated for pre-school, but at least a great lap book.
Profile Image for Staci.
504 reviews
March 21, 2025
I will be using this book to have math talks with my students
Profile Image for Kelsey.
2,354 reviews66 followers
September 3, 2019
Age: Kindergarten-2nd grade
Concept Skill: Shapes
Reprint from 2016

A great practice in critical thinking, utilizing mathematical vocabulary, and utilizing sameness and difference. When there is no "right" reason, children will feel empowered to speak up and share their answers in a group setting. A great book to begin the school year and encourage class participation from the start.
106 reviews
August 21, 2019
Fantastic book to encourage mathematical and logical thinking, conversation, and play. My three year old enjoys discussing the different pages, and can make coherent arguments for some figures, but there's enough depth here to challenge me as well! This book will last for years of mathy conversations.
Profile Image for Brenda Kahn.
3,808 reviews60 followers
Read
June 26, 2019
When I first pulled this out of my review box, I thought, "Cute! I will just zip through this and send it to someone I know with pre-schoolers." Nope! Didn't zip through it. Couldn't! This was hard but fun! Then, I thought that I am keeping the book to use with my sixth graders as an exercise when I tell them that I want them to go beyond, "It was good," when describing a book they enjoyed (or didn't). Why? So, yeah, math teachers, heads up; but LA teachers, any teacher hoping to instill critical thinking skills, take a look!
Profile Image for Boom!.
247 reviews2 followers
April 23, 2019
Such a great book that encourages individual thinking. There are no wrong answers and kids can think out of the box. My kids have spent hours flipping through this discussing what think think certain shapes are out of place and they don't argue because every answer is correct!
Displaying 1 - 30 of 32 reviews

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