Tag Archives: My family

Noticing Fractions in a Sidewalk

fraction-circle

My daughters didn’t want to admit to knowing me, when I stopped to take a picture of the sidewalk along a back street during our trip to Jeju. But aren’t those some wonderful fractions?

What do you see? What do you wonder?

Here is one of the relationships I noticed in the outer ring:

\frac{4 \frac {2}{2}}{20} = \frac {1}{4}

sidewalk

And this one’s a little trickier:

\frac{1 \frac {1}{2}}{12} = \frac {1}{8}

Can you find it in the picture?

Each square of the sidewalk is made from four smaller tiles, about 25 cm square, cut from lava rock. Some of the sidewalk tiles are cut from mostly-smooth rock, some bubbly, and some half-n-half.

I wonder how far we could go before we had to repeat a circle pattern?

Join the Summer Math Photo Challenge

How to Play: Take a walk around your neighborhood to see what sort of math you can find. Post a photo to Twitter or Instagram, with hashtags to mark it as a Summer Math Challenge photo. Describe what you’re seeing. Re-tweet and share others’ photos if you like. Encourage your friends to play!


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A Review for my Daughter’s Novel

Hunted600“… a captivating fantasy story with a well-thought-out plot … people who like medieval-style fantasies with wraiths, spirits, and even an attacking swamp tree will enjoy the story. I certainly did, and the excitement, adventure, and suspense will easily keep the reader’s attention …”

— Wayne S. Walker
Home School Book Review


New Internet Math Reference Pages

The Internet boasts a wide-ranging assortment of math websites, and for years I maintained (or mostly neglected) a huge page of reference links. This spring I’ve been working on the paperback edition of my book‌—‌with its appendix of favorite books and internet sites‌—‌and I decided to revise my blog links to match.

Blogging while we watch the tide come in. :)
Blogging while we watch the tide come in.

So this week, I’m in Jeju, South Korea, visiting my daughter who teaches English there. In between seeing touristy sites and gorging ourselves on amazingly delicious food, she took me to a beautiful coffee shop that overlooks the beach in Aewol.

Great place to work on my blog!

The long monster list morphed into eight topical pages. I hope you find something useful.

Playing tourist with two of my daughters at Halla Arboretum.
Playing tourist with two of my daughters at Halla Arboretum.

I will try to keep these pages up to date, but the Internet is volatile. If you find a broken link, you can search for the website by name or enter the defunct URL into the Internet Wayback Machine at Archive.org.

Changing of the guard at Old City Hall, Jeju-si.
Changing of the guard at Old City Hall, Jeju-si.

And if you know of a fantastic website I’ve missed, please send me an email (LetsPlayMath@gmail.com, or use the comment form on my “About” page). I appreciate your help.


Feature photo above by Fractal Ken via Flickr (CC BY 2.0). Korea photos ©2015 Denise Gaskins, all rights reserved. For more math resource suggestions, check out my Math with Living Books pages. They’re not finished yet, but I’ll be working on them next.


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New Fantasy Novel by Homeschooled Teen Author

Hunted600After months of editing, formatting, proofreading, sweat, and tears:

Teresa Gaskins’s new ebook Hunted: The Riddled Stone ~ Book Two is available now at Amazon. The paperback should follow within the next couple days, and the other online retailers will come along whenever their automated systems get caught up.

You can download the first five chapters here:

To celebrate the release of Hunted, the ebook version of Banished‌—‌the first book in the Riddled Stone series‌—‌will be on sale for 99 cents for the next few weeks.


Tabletop Academy PressGet monthly math tips and activity ideas, and be the first to hear about new books, revisions, and sales or other promotions. Sign up for my Tabletop Academy Press Updates email list.


Math Storytelling Day: The Hospital Floor

[Feature photo above by Christiaan Triebert via flickr (CC BY 2.0).]

Have you ever heard of Math Storytelling Day? On September 25, people around the world celebrate mathematics by telling stories together. The stories can be real — like my story below — or fictional like the tale of Wizard Mathys from Fantasia and his crystal ball communication system.

Check out these posts for more information:

My Math Story

tiles2

My story begins with an unexpected adventure in pain. Appendicitis sidewhacked my life last week, but that’s not the story. It’s just the setting. During my recovery, I spent a lot of time in the smaller room of my hospital suite. I noticed this semi-random pattern in the floor tile, which made me wonder:

  • Did they choose the pattern to keep their customers from getting bored while they were … occupied?
  • Is the randomness real? Or can I find a line of symmetry or a set of tiles that repeat?
  • If I take pictures from enough different angles, could I transfer the whole floor to graph paper for further study?
  • And if the nurse finds me doing this, will she send me to a different ward of the hospital? Do hospitals have psychiatric wards, or is that only in the movies?
  • What is the biggest chunk of squares I could “break out” from this pattern that would create the illusion of a regular, repeating tessellation?

I gave up on the graph paper idea (for now) and printed the pictures to play with. By my definition, “broken” pattern chunks need to be contiguous along the sides of the tiles, like pentominoes. Also, the edge of the chunk must be a clean break along the mortar lines. The piece can zigzag all over the place, but it isn’t allowed to come back and touch itself anywhere, even at a corner. No holes allowed.

I’m counting the plain squares as the unit and each of the smaller rectangles as a half square. So far, the biggest chunk of repeating tiles I’ve managed to break out is 283 squares.

tiles1

What Math Stories Will You Tell?

Have you and your children created any mathematical stories this year? I’d love to hear them! Please share your links in the comments section below.


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Reblog: A Mathematical Trauma

Feature photo (above) by Jimmie via flickr.

My 8-year-old daughter’s first encounter with improper fractions was a bit more intense than she knew how to handle.

I hope you enjoy this “Throw-back Thursday” blast from the Let’s Play Math! blog archives:


Photo (right) by Old Shoe Woman via Flickr.

Nearing the end of Miquon Blue today, my youngest daughter encountered fractions greater than one. She collapsed on the floor of my bedroom in tears.

The worksheet started innocently enough:

\frac{1}{2} \times 8=\left[ \quad \right]

[Click here to go read the original post.]


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A Pretty Math Problem?

As we were doing Buddy Math (taking turns through the homework exercises) today, my daughter said, “Oooo! I want to do this one. It’s pretty!”

CodeCogsEqn

She has always loved seeing patterns in math. I remember once, years ago, when she insisted that we change the problems on a worksheet to make the answers come out symmetrical. :)


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