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New Book: Farzanah and the 17 Camels

illustration from Farzanah and the 17 Camels

Now’s your chance to promote creative math for kids, with Sue Looney’s new book on Kickstarter: Farzanah and the 17 Camels.

You can order the book in digital or paperback format, get multiple copies for a classroom or book club, or just donate to support the project.

Visit the Kickstarter

Farzanah and the 17 Camels celebrates the excitement and the rewards of solving a challenging and intriguing math problem. Set against the backdrop of the ancient Silk Road, with bustling markets, stunning carpets, fun characters, and camels, the story draws readers into the magic of Farzanah’s surroundings. 

As Farzanah searches for an unusual approach, a way of solving the problem that no one else could think of, she follows the wise advice of her mother: 

“My dear Farzanah, don’t be discouraged,” said Mama. “Sometimes, being stuck is exactly where you need to be. I find the best thing I can do is to step away. I free my mind to think about other things. It is in that space that the magic happens. I am able to look at things from a different perspective. With wait time and wishful thinking comes the solution.”

Farzanah embodies the joy of productive struggle in mathematical problem-solving. She is patient, persistent, and curious, using these qualities to tackle a perplexing dilemma that has troubled everyone.

For a bonus math puzzle you can play today, based on Farzanah’s life, download Farzanah’s Sheep Dilemma.

Looney’s earlier book, Ying and the Magic Turtle, is available on the Natural Math website. Or check out her Same But Different discussion prompts for all ages on her website.

Visit the Kickstarter

 
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Illustration above copyright © 2024 Noemi Sophia James, from the book Farzanah and the 17 Camels by Sue Looney.

Get a Taste of Playful Math with Two Carnivals

Carnival food court

Here is SOOOOO MUCH GREAT MATH!

Each monthly carnival brings you a new collection of ideas for playing math from preschool to high school. It’s like a free online magazine of mathematical adventures, helpful and inspiring no matter when you read them.

Explore with your kids or on your own:

173rd Playful Math Carnival

Johanna Buijs found a delightful assortment of knots, meanders, mazes and labyrinths, plus other math tidbits from around the world. Love it!

Visit Carnival 173

Playful Math Carnival 174

Sue VanHattum focused on the perplexing topics of fractions and division (and division of fractions) with puzzles, games, fractals, and delightful stories.

Visit Carnival 174

Help Us Keep the Carnival Going

The Playful Math Blog Carnival wants you!

The carnival is a joint effort. We depend on our volunteer hosts to collect blog posts and write the carnival each month.

Putting together a blog carnival can be a lot of work, but it’s a great opportunity to share the work of bloggers you admire and to discover new math-friends online. I love that part of being a host!

Classroom teachers, homeschoolers, college professors, unschoolers, or anyone who likes to play around with math — if you would like to take a turn hosting the carnival, please speak up!

Email Denise

 
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“Get a Taste of Playful Math with Two Carnivals” copyright © 2024 by Denise Gaskins. Image at the top of the post copyright © dbvirago / Depositphotos.

Memories: Improper Fractions

notebooking math with fraction pieces - photo

Homeschool Memories…

My eight-year-old daughter’s first encounter with improper fractions was a bit more intense than she knew how to handle. And I hadn’t learned yet how to use the Notice-Wonder-Create cycle to help kids think about tough problems.

Sometimes I wonder how our children survive their parents’ learning curve. It’s a good thing God made them resilient enough to thrive despite our mistakes!

Continue reading Memories: Improper Fractions

Podcast: From Right Answers to Adventure

Notice and Wonder podcast logo with quote by Denise Gaskins

If you find a free hour this week, you may enjoy listening to my latest Notice & Wonder podcast discussion with Sonya and Della about the power of playful math:

We share plenty of tips, stories, and practical advice for bringing a sense of curiosity and exploration into your math lessons.

Plus, the Best Math Game Ever!

I love this podcast, because it always feels like sitting down to chat over coffee with good friends who love kids and love teaching.

Taking our focus off answer-getting can be hard for the adult, because that right answer gives us security that we know what we’re doing. It’s hard to give ourselves the freedom of saying, “I’m going to go into this lesson, and I have no idea where it’s going to go. I have this puzzle, I have this problem, but I don’t know where it will lead.’’

    That’s a scary situation to be in as the adult who’s used to being in control of everything.

      But we’re exploring this landscape of math. There are a lot of cool things to discover, and we’ll find something. We may not find the answer, but we’ll find something interesting, if we just explore it.

      — Denise Gaskins,
      “From Right Answers to Adventure”

       
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      If you enjoy listening to podcasts, check out my other interviews here.

      Are you looking for more creative ways to play math with your kids? Check out all my books, printable activities, and cool mathy merch at Denise Gaskins’ Playful Math Store.

      This blog is reader-supported. 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.

      “Podcast: From Right Answers to Adventure” copyright © 2024 by Denise Gaskins. Podcast logo copyright © 2024 Sonya Post.

      Memories: Percent Problems

      Homeschool math - photo

      Homeschool Memories…

      Can your students solve this problem?

      There are 20% more girls than boys in the senior class. What percent of the seniors are girls?

      This is from an old discussion of the semantics of percent problems and why students have trouble with them, going on over at MathNotations. (Follow-up post here.)

      Our homeschool co-op prealgebra class had just finished a chapter on percents, so I thought my son might have a chance at this one. Nope! He leapt without thought to the conclusion that 60% of the class must be girls.

      After I explained the significance of the word “than”, he solved the follow-up problem just fine.

      Continue reading Memories: Percent Problems

      New Podcast: Notice and Wonder

      Quotation from Notice and Wonder podcast

      When I was a novice homeschooler, our local Moms’ Night Out provided mentoring and kept me sane. We’d leave the children home with their dads and meet up at a local restaurant for a cup of coffee, a slice of pecan pie, and a robust discussion of educational philosophy.

      This spring, my friend Sonya Post launched a new podcast called “Notice & Wonder” — and it captures that same feeling perfectly.

      Sonya explains: “What is Notice, Wonder, Discover? It’s the development of cognitive skills, without which you have never learned anything in your life. We are developing the underlying skills that will make anyone more proficient at learning anything.”

      I’ve had the privilege to join Sonya for three episodes of the podcast so far, and I’ve thoroughly enjoyed our conversations.

      Here’s a taste…

      Continue reading New Podcast: Notice and Wonder

      If Not Methods: Fraction Multiplication

      Father and son doing math homework together

      This is the last post (for now, at least) in our If Not Methods series about how to help children figure out tough calculations.

      By the time students reach the topic of multiplying fractions, they have become well-practiced at following rules. After some of the complex procedures they’ve learned, a simple rule like “tops times tops, and bottoms times bottoms” comes as a relief.

      But we know that relying on rules like that weakens understanding, just as relying on crutches weakens physical muscles.

      If we want our students to think, to make sense of math, to figure things out, what can we do with a problem like 5/6 × 21 ?

      Continue reading If Not Methods: Fraction Multiplication

      If Not Methods: Mixed Numbers

      A family doing math homework together

      Continuing our series on teaching the tough topics of arithmetic

      Our own school math experiences led many of us to think that math is all about memorizing and following specific procedures to get right answers. But that kind of math is obsolete in our modern world.

      The math that matters today is our ability to recognize and reason about numbers, shapes, and patterns, and to use the relationships we know to figure out something new.

      But what if our children get stumped on a mixed-number calculation like 2 5/12 + 1 3/4?

      Continue reading If Not Methods: Mixed Numbers

      If Not Methods – Subtracting Fractions

      Father and daughter doing math homework

      We’re continuing our series of posts on how to build robust thinking skills instead of forcing our children to walk with crutches.

      When we say, “Use this method, follow these steps,” we teach kids to be mathematical cripples.

      If your student’s reasoning is, “I followed the teacher’s or textbook’s steps and out popped this answer,” then they’re not doing real math. Real mathematical thinking says, “I know this and that are both true, and when I put them together, I can figure out the answer.”

      But what if our kids get stumped on a fraction calculation like 7/8 − 1/6?

      Continue reading If Not Methods – Subtracting Fractions

      If Not Methods: Scary Division

      Father and son working on math homework

      We’ve been exploring the many ways to help children reason about tough math problems, without giving them rules to follow.

      As always, real math is not about the answers but the thinking.

      But what about division with scary, big numbers? What if our kids get stumped on a calculation like 3840 ÷ 16?

      When kids say, “I don’t know how”

      We can teach without crippling children’s understanding if we follow the Notice-Wonder-Create cycle:

      • Notice everything about the problem.
      • Wonder about the possibilities.
      • Create something new: perhaps a solution or a math journal entry, or perhaps just a deeper level of understanding.

      “Notice, Wonder, Create” is not a three-step method for solving math problems. It’s the natural, spiraling cycle by which our minds learn anything.

      Continue reading If Not Methods: Scary Division