Back when we were still homeschooling, I always dropped the “regularly scheduled program” in December. School plus holiday prep added up to one stressed-out mom.
Instead, we read plenty of library books. And we played around with informal activities like the NrichMaths Advent Calendars:
For older students and adults, the online Plus Magazine offers a calendar of daily tidbits from their “Maths in a minute” series, explaining important mathematical concepts in just a few words”
How do you handle schoolwork during this busy season? I’m collecting new links for an updated Holiday Math post next month. I’d love to hear your ideas!
How can we help children learn to think mathematically? Live by these four principles.
PTALSMP 1: Ask questions.
Ask why. Ask how. Ask whether your answer is right. Ask whether it makes sense. Ask what assumptions you have made, and whether an alternate set of assumptions might be warranted. Ask what if. Ask what if not.
PTALSMP 2: Play.
See what happens if you carry out the computation you have in mind, even if you are not sure it’s the right one. See what happens if you do it the other way around. Try to think like someone else would think. Tweak and see what happens.
PTALSMP 3: Argue.
Say why you think you are right. Say why you might be wrong. Try to understand how someone else sees things, and say why you think their perspective may be valid. Do not accept what others say is so, but listen carefully to it so that you can decide whether it is.
PTALSMP 4: Connect.
Ask how this thing is like other things. Try your ideas out on a new problem. Ask whether and how these ideas apply to other situations. Look for similarities and differences. Seek out the boundaries and limitations of your techniques.
— Christopher Danielson
And a Puzzle
Practice applying Professor Triangleman’s Standards to the puzzle below. Which one doesn’t belong? Can you say why someone else might pick a different one?
Each week, we’ll be playing with the math, language, and logic topics found in a single chapter. I’ll be posting ideas for extension activities, videos demonstrating the concepts for the week, and additional resources. I’m really excited for the opportunity to share all the extra ideas that have been floating around my brain which I didn’t have room to include in the book (as in Marco Polo’s famous words: “I did not tell half of what I saw.”)
— Lilac Mohr
Here’s a Quick Taste of Week One
This Week’s Activities
Lilac’s blog post includes a full schedule for the eleven-week book club, featuring plenty of classic math puzzlers to play with. Here are the topics for this week.
Read Chapter 1: Mrs. Magpie’s Manual
Alliteration
Memorizing digits of Pi
Palindromes
Calculating your age on other planets
It looks like a lot of fun. I highly recommend the book (read my review), and I’m sure you and your children will enjoy discovering math and magic with Lulu and Elizabeth.
If you’d like to help fund the blog on an on-going basis, then please join me on Patreon for mathy inspiration, tips, and an ever-growing archive of printable activities.
If you liked this post, and want to show your one-time appreciation, the place to do that is PayPal: paypal.me/DeniseGaskinsMath. If you go that route, please include your email address in the notes section, so I can say thank you.
Are you looking for a fun book to read over the summer? I just finished Lilac Mohr’s delightful Math & Magic in Wonderland, and I loved it.
Highly recommended, for kids or adults!
About the Book
A Jubjub bird disguised as a lark,
Borogroves concealing a snark,
When you’re in Tulgey Wood, you must
Be careful whom it is you trust…
With the discovery of Mrs. Magpie’s Manual of Magic for Mathematical Minds, Lulu and Elizabeth embark on an exciting journey to a realm inspired by Lewis Carroll’s poetry. The twins must use ingenuity and sagacity to solve classic logic puzzles that promise to uncover the book’s secrets and earn them The Vorpal Blade. In this interactive novel, the reader is invited to play along with the two heroines on their grand mathematical adventure.
Do you have the smarts to help Lulu and Elizabeth outwit the frumious Bandersnatch?
It’s time to enter Wonderland and find out!
–from the back cover of Math & Magic in Wonderland by Lilac Mohr
What I Liked
Puns, poetry, and plenty of puzzles. Tangrams, tessellations, truth-tellers and liars. History tidbits and many classics of recreational mathematics.
The sisters Lulu and Elizabeth seem real — though perhaps more widely read than most of us. They are different from each other. They make mistakes and have disagreements. But they never deteriorate into the cliché of sibling rivalry that passes for characterization in too many children’s books.
In each chapter, the girls must solve a language, math, or logic puzzle to proceed along their journey. Then a “Play Along” section offers related puzzles for the reader to try.
No matter how challenging the topic, the book never talks down to the reader.
What I Didn’t Like
… Um … Honestly, I can’t think of anything.
Since it’s traditional to criticize the editing of self-published books, I will say this: There was at least one place where the wording seemed a bit awkward. I would have phrased the sentence differently. But don’t ask me to identify the page — I was too caught up in the story to bother jotting down such a quibble. And I tried flipping through the book as I wrote this post, but I can’t find it again.
Buy, or Don’t Buy?
Buy. Definitely buy.
Unless you hate logic puzzles and despise Lewis Carroll’s poetry.
But for everyone else, this book is truly a gem. If you like The Cat in Numberland or The Man Who Counted, then I’m sure you’ll enjoy Math & Magic in Wonderland.
Disclaimer: Like almost all book links on my blog, the links in this post take you to Amazon.com, where you can read descriptions and reviews. I make a few cent’s worth of affiliate commission if you make a purchase — but nowhere near enough to influence my opinion about the book.
And Now for the Giveaway
Lilac offered a paperback copy of Math & Magic in Wonderland for one lucky reader of Let’s Play Math blog.
The giveaway is done. Congratulations, Keshua!
But the comments section below remains open, and I’d still love to hear your answers:
Tell us about your favorite language, math, or logic puzzle book! Or share a book you’ve been wanting to read.
June 17 marks World Tessellation Day, a holiday I created to bring awareness to the fun of finding and making tessellations.
Will you celebrate with us?
Here are 10 great ways to play with tessellations, learn about them, and introduce your children to a math concept that opens a variety of creative learning opportunities.
1) Learn about tessellations with your kids.
A tessellation is a tiled mosaic pattern of the same shape laid out over and over again, repeating into infinity. Tessellations can be found in nature, or they can be created by people. Learn more at these websites:
… makes sense
… is more than just arithmetic
… is joyous
… makes them strong
… is meaningful
… is creative
… is full of fascinating questions
… opens up many paths to solutions
… is friendly
… solves big problems and makes the world better
… is a powerful tool they can master
… is beautiful
… lets them learn in their own ways
… is connected to their lives
… asks “why” and not just “how”
… opens the world
From the upcoming new book Avoid Hard Work by James Tanton and the Natural Math team.
Did you know 97 is an emirp? It’s prime both forward and backward! What other emirps can you find?
Welcome to the 97th edition of the Math Teachers At Play math education blog carnival: a monthly smorgasbord of links to bloggers all around the internet who have great ideas for learning, teaching, and playing around with math from preschool to pre-college.
A few articles were submitted by their authors, but most were drawn from the immense backlog in my rss reader. If you’d like to see your blog post featured next month, be sure to send it in yourself. Our hosts are busy parents and teachers who have limited time to scour the Internet for goodies.
To add a bit of color, I’ve thrown in several favorites from my newly updated Math with Living Books pages. Some (affiliate) links go to Amazon.com, where you can read descriptions and reviews — but there’s no need to buy. Most of these books should be available through your local library.
Table of Contents
If you’d like to skip directly to your area of interest, click here:
Please: If you enjoy the carnival, would you consider volunteering to host sometime this year? Classroom teachers, homeschoolers, unschoolers, or anyone who likes to play around with math (even if the only person you “teach” is yourself) — if you would like to take a turn, please speak up!
And now, let the mathematical fun begin!
When the queen of her bugs demands that her army march in even lines, Private Joe divides the marchers into more and more lines so that he will not be left out of the parade.
David Wees (@DavidWees) and his son explore Inductive Reasoning: “You know, Dad. There are an infinite number of solutions…”
Joshua Greene (@JoshuaGreene19) writes Ode to a bead string (a non-poem poem): “One of the cool things about open play with math manipulatives is that it provides a lot of easy entry points into short math chats.”
Crystal Wagner (@Tri_Learning) shares several Math Games to Play in the Car: “Or maybe you are waiting in line at the grocery store or doctor’s appointment. Turn these times of waiting into learning opportunities.”
Christopher Danielson (@Trianglemancsd) shows how The sequence machine can launch math conversations with older students: “Now you can generate number sequences, without being distracted by the multiplication facts.”
Help inspire your kids to try writing their own unique problems. Includes a wide range of math topics and concepts: money and time, fractions, percentages, geometry, logic, and multi-step problem solving.
I’ll let you in on a secret about teaching: there is no place in the world where it rolls along smoothly without problems. Only in articles and books can that happen.
Learning math is an adventure into the unknown. The ideas we adults take for granted are a wild, unexplored country to our children. Like any traveler in a strange land, they will stumble over rocky places and meet with unexpected detours.
Whenever I visit a parenting forum, I feel compassion for the families who are struggling with math. No other school subject elicits such depths of frustration and despair.
You could say that Tessalation is a book about tessellations (repeating tiled patterns), but it is really a children’s picture book about discovering order in a chaotic world.
— Emily Grosvenor
Seeing Math in the World
In taking a playful approach to mathematics, I hope to open children’s eyes to math in their world. Schooly math lessons have led many of my math group kids to think a “pattern” has to be a strictly repeating (and rather boring) series of shapes or colors.
But in the real world, patterns are so important that American mathematician Lynn Arthur Steen defined mathematics as the science of patterns.
“As biology is the science of life and physics the science of energy and matter, so mathematics is the science of patterns,” Steen wrote. “We live in an environment steeped in patterns — patterns of numbers and space, of science and art, of computation and imagination. Patterns permeate the learning of mathematics, beginning when children learn the rhythm of counting and continuing through times tables all the way to fractals and binomial coefficients.”
Tessa Truman-Ling’s delight in patterns is contagious. And it will provide a wonderful jumping-off point for a variety of math activities.
Visit Grosvenor’s Kickstarter page to find out more about her lovely book:
Back when we were still homeschooling, I always dropped the “regularly scheduled program” in December. School plus holiday prep added up to one stressed-out mom.
Denise Gaskins' Let's Play Math 