Mental Math: Three Basic Principles

Doing mental math on the couch

“We know that algorithms are amazing human achievements, but they are not good teaching tools because mimicking step-by-step procedures can actually trap students into using less sophisticated reasoning than the problems are intended to develop.”

— Pam Harris, Math Is Figure-Out-Able Podcast

Whether you work with a math curriculum or take a less-traditional route to learning, do not be satisfied with mere pencil-and-paper competence. Instead, work on building your children’s mental math skills, because mental calculation forces a child to understand arithmetic at a much deeper level than is required by traditional pencil-and-paper methods.

Continue reading Mental Math: Three Basic Principles

Musings: Mental Math Is the Key to Algebra

Painting by Nikolay Bogdanov-Belsky, public domain

“If you stay with meaningful mental arithmetic longer, you will find that your child, if she is average, can do problems much more advanced than the level listed for her grade. You will find that she likes arithmetic more.

    “And when she does get to abstractions, she will understand them better.

      “She will not need two or three years of work in primary grades to learn how to write out something like a subtraction problem with two-digit numbers. She can learn that in a few moments of time, if you just wait.”

      —Ruth Beechick, An Easy Start in Arithmetic

      Continue reading Musings: Mental Math Is the Key to Algebra

      Musings: Mathematical Beauty

      photo of child making footprints on the beach

      Memories…

      We were eclectic homeschoolers back in the Dark Ages before there was an internet. Our primary curriculum was the public library.

      As we went along, I noticed how many of our homeschooling friends felt uncomfortable with math, and even hated or feared the subject.

      Math anxiety runs rampant in Western culture. By one researcher’s estimate, more than 90% of adults experience some level of math anxiety — that is, discomfort, avoidance, and even emotional pain when faced with a math calculation.

      So I became a sort of “math evangelist” in the homeschooling community, spreading the news that we can find beauty and fun even in math.

      Continue reading Musings: Mathematical Beauty

      Playful Math Carnival 180 via Math Hombre

      carnival party banner

      If you’re into math education — or just curious about how learning math could possibly be fun — you’ll definitely want to check out the latest edition of the Playful Math Carnival.

      It’s a collection of awesome blog posts curated by John Golden and published on the Math Hombre website:

      The whole point of the carnival is to show that math doesn’t have to be tedious or repetitive. Through a bunch of fun and engaging posts, we celebrate math that’s playful, creative, and totally relevant to everyday life.

      Because what could be more relevant than having fun while we learn?

      In this edition, you’ll find everything from math puzzles and games to humor and much more — even an interesting math art game.

      So if you want to mix up your math teaching and make it more enjoyable for your students (and for yourself), definitely check out the Playful Math Carnival. Happy reading!

      Go Visit the Carnival

      Continue reading Playful Math Carnival 180 via Math Hombre

      ALL Mathy Merchandise on Sale Now

      Cool Cats Play Math T-shirt

      April has been a crazy month here at my little one-person business, which means promotion fell through the cracks.

      I try to run a sale on something every month, to give you a reason to drop by my Playful Math Store. And I’m supposed to post blogs and social media about the discount, so nobody misses saving money on something they’ve been waiting for.

      This month’s sale was a hefty 20% off every bit of mathy merchandise in the store. Cool T-shirts, fun mugs, handy totebags, and more!

      My plan was to offer a big discount before all the tariffs kick in and mess up my pricing, since even items that are produced in the US often use components from overseas, which makes me expect prices to rise over the coming months.

      Continue reading ALL Mathy Merchandise on Sale Now