Long years ago, when I did workshops at homeschooling conferences, I used to share a list of seven ways to play with a hundred chart. The all-time most visited post on my blog offers 34 playful activities. Now I’ve more than doubled that total for this book.
So many ways to play! One of them is sure to be perfect for you and your children.
Take your child on a mathematical adventure with these playful, practical activities.
“It is exactly the kind of math exploration that I want to undertake with my kids.
“After reading through the book, I noticed myself making more room to trust my kids’ ability to make connections and not try to dominate by telling them how math ‘should’ work.
“An excellent way for me to move outside my math and teaching comfort zones and explore math more deeply with my kids.”
— Olisia Barron, author of ThimbleberryHome.wordpress.com
P.S.: If you have a blog and would like to host a giveaway for 70+ Things To Do with a Hundred Chart (or any of my other books), I’d be glad to provide the prize. Leave a comment below or use the contact form on my “About” page, and we’ll set up all the details.
Check out my new printables for playing math with your kids:
The free 50-page PDF Hundred Charts Galore! file features 1–100 charts, 0–99 charts, bottom’s-up versions, multiple-chart pages, blank charts, game boards, and more. Everything you need to play the activities in my 70+ Things to Do with a Hundred Chart book (coming soon from Tabletop Academy Press).
If all goes well, the hundred chart book should be out (at least in ebook format) by the end of this month. While you’re waiting, you can try some of the activities in my all-time most popular blog post:
Problem-solving is a habit of mind that you and your children can learn and grow in. Help your kids practice slowing down and taking the time to fully understand a problem situation.
Puzzles Are Math Experiments
Almost anything your child notices or wonders can lead to a math experiment.
For example, one day my daughter played an online math game…
A math journal can be like a science lab book. Not the pre-digested, fill-in-the-blank lab books that some curricula provide. But the real lab books that scientists write to keep track of their data, and what they’ve tried so far, and what went wrong, and what finally worked.
Here are a few open-ended math experiments you might try:
Pick out a 3×3 set of dots. How many different shapes can you make by connecting those dots? Which shapes have symmetry? Which ones do you like the best?
What if you make shapes on isometric grid paper? How many different ways can you connect those dots?
Limit your investigation to a specific type of shape. How many different triangles can you make on a 3×3 set of dots? How many different quadrilaterals? What if you used a bigger set of dots?
On your grid paper, let one dot “hold hands” with two others. How many different angles can you make? Can you figure out their degree without measuring?
Are there any angles you can’t make on your dot grid? If your paper extended forever, would there be any angles you couldn’t make?
Does it make a difference whether you try the angle experiments on square or isometric grid paper?
How many different squares can you draw on your grid paper? (Don’t forget the squares that sit on a slant!) How can you be sure that they are perfectly square?
Number the rows and columns of dots. Can you find a pattern in the corner positions for your squares? If someone drew a secret square, what’s the minimum information you would need to duplicate it?
Does it make a difference whether you try the square experiments on square or isometric grid paper?
I’d love to hear your favorite math explorations or journaling tips!
Please share in the comments section below.
P.S.: Do you have a blog? If you’d like to feature a math journal review and giveaway, I’ll provide the prize. Send a message through my contact form or leave a comment below, and we’ll work out the details.
The posts on my Let’s Play Math blog are, for the most part, first-draft material. Of course, I’ve proofread each post — many times! because I’m a perfectionist that way, and yet I still miss typos — but these articles haven’t gotten the sort of feedback that polishes a book manuscript.
Well, now I’m taking some of the best of my old blog posts, expanding them with a few new games or activities, and giving them that book-quality polish. Let me introduce my newest series, the Playful Math Singles.
Under Construction …
The Playful Math Singles from Tabletop Academy Press will be short, topical books featuring clear explanations and ready-to-play activities.
I’m hoping to finish up two or three of these this year. Watch for them at your favorite online bookstore.
The first one is done …
Word Problems from Literature: An Introduction to Bar Model Diagrams
You can help prevent math anxiety by giving your children the mental tools they need to conquer the toughest story problems.
Young children expect to look at a word problem and instantly see the answer. But as they get older, their textbook math problems also grow in difficulty, so this solution-by-intuitive-leap becomes impossible.
Too often the frustrated child concludes, “I’m just not good at math.”
But with guided practice, any student can learn to master word problems.
Word Problems from Literature features math puzzles for elementary and middle school students from classic books such as Mr. Popper’s Penguins and The Hobbit.
For each puzzle, I demonstrate step by step how to use the problem-solving tool of bar model diagrams, a type of pictorial algebra. For children who are used to playing with Legos or other blocks — or with computer games like Minecraft — this approach reveals the underlying structure of a math word problem. Students can make sense of how each quantity in the story relates to the others and see a path to the solution.
And when you finish the puzzles in this book, I’ll show you how to create your own word problems from literature, based in your children’s favorite story worlds.
“I found this method really clarified for me what was going on visually and conceptually. Particularly when it came to more complex questions, for which I would normally write out an equation, I felt that thinking about what was going on with the bars actually made more sense … This is a wonderful book for those who want to support their children in finding better ways to work on word problems.”
But as with any paperback book, these have one problem. How do I use them without cracking the spine?
When we exercise, we need to warm up our bodies with a bit of stretching to prevent injury. In the same way, we need to warm up a new book to protect it. The process is called “breaking it in.”
It only takes a few minutes to break in a paperback book:
Step by Step
Never force the book but help it limber up gradually, and it will serve you well.
Because my journals are working books, I take the breaking-in process a bit further than shown in the video:
(1) Set the book on its back and follow the process above. Press down each cover, but not completely flat — let it bend at the fold line, about 1 cm from the actual spine. Then press a couple pages at a time, alternating front and back, down flat on each cover.
(2) Flip through the pages of the book forward and backward to limber them up.
(3) Repeat the steps of the video. This time, gently lean the main part of the book away from the part you are pressing down. Aim for a 130–140 degree angle.
(4) Flip through the pages again. Even roll the book back and forth a bit — curving the cover and pages as if you’re trying to fold the book in half — to encourage flexibility.
(5) Repeat the breaking-in process one more time. This time, fold each section back as close to 180 degrees as it will go.
And you’re done!
The pages will still curve in at the fold line, where they connect to the spine of the book. You want that because it makes the book strong. But now they’ll also open up to provide a nice, wide area for writing or math doodling.