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

FAQ: My Playful Math Books

Playful math books by Denise Gaskins

Number Neighborhoods game  book by Denise GaskinsIn the weeks since I opened my new Playful Math Store, I’ve been getting a lot of questions about how all the books relate to each other.

For example…

Q: Your books look so interesting! Is the material in the books all different?

    A: There is a bit of overlap between books, but not much in most cases.

Continue reading FAQ: My Playful Math Books

Podcast: How to Transform Math Lessons without Changing your Curriculum

Homeschooling math together - photo

I have a new podcast interview, and I think you’ll enjoy it!

Check out Pam Barnhill’s 10 Minutes to a Better Homeschool on your favorite podcast app, or listen on the website:

Go to the podcast ❱

Here’s a couple of excerpts…

Continue reading Podcast: How to Transform Math Lessons without Changing your Curriculum

Musings: A Philosophy of Education

I’ve tried a few times over the years to express my philosophy of teaching math. Back when I first started doing workshops for homeschooling parents, I told them:

“Instead of drudgery, mathematics should be a game of discovery. It should give children the same ‘Eureka!’ thrill that sent Archimedes running through town in his birthday suit. I call this the ‘Aha!’ factor, the delight in solving a challenging puzzle.”

Years later, as the internet developed and much of life moved online, I started a blog about playing with math. And since all good blogs need an “About Me” page, I had another chance to sum up my thoughts:

“Math is like ice cream, with more flavors than you can imagine — and if all your children ever see is textbook math, that’s like feeding them broccoli-flavored ice cream.”

But over the years, some people got the impression that my goal was all about playing games. They asked, “How can we make math fun for our kids?” — as if gamification adds a candy coating to make the disgusting medicine more palatable.

And of course, I do write a lot of books about games. I think games serve much better than worksheets for practicing basic math skills.

Still, I wanted people to see that the ideas of math themselves are tasty tidbits worth playing with.

Continue reading Musings: A Philosophy of Education

Math Games Kickstarter: It Keeps Getting Better

Friends playing math games

Did you know that, with our recent stretch goals, the Tabletop Math Games Kickstarter now features more than 90 amazing ways to play math with your kids?

And every pledge pushes us closer to the next new bonus, which means more new games and playful math goodies for every backer.

Don’t miss out on the excitement. Order your copy today:

Visit the Math Games Kickstarter ❱

How Are These Books Different?

I love how the challenge of a well-fought math game pushes players of all ages to think more creatively and build fluency.

So my Tabletop Math Games Collection is designed to make it easier than ever for busy families and over-stressed teachers to play with math.

All you need are common household supplies like cards, dice, and scratch paper. Children can open a Tabletop Math Games Collection book to any page and start playing right away, and the digital files make great classroom handouts or learning center games.

Continue reading Math Games Kickstarter: It Keeps Getting Better

Tabletop Math Games Kickstarter: Order Your Copy Today

Friends playing math games

And so it begins: the Tabletop Math Games Collection is LIVE on Kickstarter!

Check It Out ❯

To have a successful campaign, we need plenty of people to back the project early. The more supporters we get in these early days, the more likely the Kickstarter platform folks will help spread the news for us.

To give you a feel for the Tabletop Math Games Collection books, I’ve put together a free printable sampler file, with 4 ready-to-play card games you can enjoy today.

I think you’ll love it!

Download the Sample File ❯

Kickstarter Sample Games Download

Continue reading Tabletop Math Games Kickstarter: Order Your Copy Today

Coming Soon: The Tabletop Math Games Collection, Volume Two

Family playing math games, with book by Denise Gaskins

Coming Soon! On March 11, I’ll be launching the next installment in my new book series, the Tabletop Math Games Collection.

And the Kickstarter prelaunch page is now live. That means you can sign up to get an email from Kickstarter as soon as the campaign launches:

Visit the Prelaunch Page ❯

(Yes, if you missed last year’s Kickstarter, you’ll also be able to get Volume One.)

Test Out Four Free Sample Games

Math games build mental flexibility and strategic reasoning in players of all ages. And even people who hated math in school can enjoy the friendly challenge of a game.

I’ve put together a free printable sampler file, with four ready-to-play card games you can enjoy today.

I think you’ll love it!

Download the Sample File ❯

Continue reading Coming Soon: The Tabletop Math Games Collection, Volume Two

Middle School Math Proof

Homeschool Memories…

Kitten (my daughter) and I sat on the couch sharing a whiteboard, passing it back and forth as we took turns working through our prealgebra book together.

The chapter on number theory began with some puzzles about multiples and divisibility rules.

Continue reading Middle School Math Proof

Gameschooling Math

Games are fun, building a positive attitude toward math. They give students a refreshing break from textbook work and make kids willing to practice their math. Games make math practice enjoyable, something children want to do. We can happily work through many more calculations during a game than anyone would ever want to do on a homework page.

Benefits of Math Games

But more important than the fun, math games push children to think about what numbers mean and how they work. The numbers in a math game are not just meaningless abstractions, but tools that players can use to gain an advantage over their opponent.

A good math game reinforces the idea that math is about reasoning, using the things you know to figure out what you need. Math is not just about getting the right answer. It’s about what goes on in your head on the way to that answer. The answer itself is merely a side-effect. of what really matters, your thinking.

A good math game helps students develop flexibility, the ability to adapt, applying what they have learned to new situations, finding a way to work out the things they haven’t mastered yet. All these add up to a more robust type of mathematical fluency than what many people imagine possible.

Continue reading Gameschooling Math

Math Musings: When Should We Work on Memorization?

Having knowledge in long-term memory can be very helpful in solving problems.

But master problem-solver Sherlock Holmes was concerned that if he had too much knowledge in his mind, new facts would crowd out the old and cause him to forget something important:

Continue reading Math Musings: When Should We Work on Memorization?