Halloween Fractals

If your child is all about getting ready for Halloween, then this can be a terrific idea to introduce some beautiful math. I saw this idea on Almost Unschoolers and immediately bookmarked it!

The idea is to turn Apollonian and Sierpiensky fractals into fun arts projects. To start, you can learn more about these fractals and download the printouts from the Apollonian gasket wiki page and this page about Sierpinski triangle. And if you don’t have a printer readily available, you can just free-hand it (here’s Vi Hart’s video to get inspired by).

I showed Apollonian gasket to my 4-year old earlier today and told him that it’s a mathematical pumpkin patch (again, thanks to Almost Unschoolers for the inspiration). He’s really into Halloween decor, but it has to be scary, not cute. So I told him that if he colors the print, he can make it as scary as he wants it to be. It worked! My otherwise coloring-books-are-boring son could hardly wait for the pattern to be printed out.

Some of the questions that we discussed as he started working were:

  • Do you want to color each circle the same color or a different color? (Different)
  • How many different colors do you think you’ll need? (A million)
  • Well, we don’t have that many different-colored crayons. What can we do? (Color big circles red, smaller ones green, smaller ones blue and tiny ones yellow)
  • Why did you decide to stop coloring? (Because the circles are getting smaller and smaller and harder to color)

As you can see from the picture, he didn’t make it to the green crayon although he worked really-really hard on getting the red and blue ones just perfect. But he seemed quite content with the results and so was I.

I still have the Sierpinski printout saved for later and another Apollonian gasket for myself to doodle on.

 

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Is Your Child’s Playroom Math-Friendly?

I remember when back in the 5th grade my parents put a huge map of the world on the wall of my room. That was the year I read lots and lots of adventure stories and looked for all the places mentioned in them on my map. That was also the year when I breezed through all my geography tests and won a local geography bee.

It seems common sense now that you can encourage your child’s interests through room decor. With all the maps of the world and the Solar system and various posters of dinosaurs, buildings, rockets, human bodies, etc on the market it seems you can cover all the usual and not-so-usual interests your child might develop between now and college. Decorating for learning has never been easier, right?

Except, of course, if you’d like to promote math learning. Somehow posting giant multiplication tables above Junior’s bed doesn’t sound all that appealing. The problem is not that math posters don’t exist. In fact, a quick Google search will give you over 28 million links. It’s just most math posters seem to fall into one of the two categories – either math-y jokes or posters full of equations to be memorized. This is beyond boring! Sort of like pasting spelling bee words all over the walls. There’s just no excitement, sense of exploration or opportunity for story-telling in this.

So what’s a concerned parent to do? Here are a few solutions:

1. Fractals Posters

There are plenty available online, just search for “fractal posters” or images of fractals. Fractals are not simply beautiful. They are mesmerizing. They invite observation and exploration. They are also some of the simplest mathematical constructs. If your child can draw straight-ish lines, she can create simple fractals.

2. Rube Goldberg Machines and Marble Runs

These can be either posters or, better yet, real contraptions. Don’t worry, you don’t have to be particularly inventive or mechanically gifted to come up with one. As long as you can buy and assemble a game of Mouse Trap, you’re good to go. Marble runs of all sizes and configurations will work too and can be a wonderful DIY 3D art installation.

What your child learns in this case is the idea of functions and combination of functions. She learns to see regularity and predictability of input and output.

3. Mirrors

Mirrors are not just for dress-up. After all, mirrors teach important math concept of symmetry. However, a mirror on the wall is a bit limited in its educational possibilities. Instead, opt for smaller hand-held size mirrors. Tape a couple of them together to form a mirror book. You can use it as a prop in lots of various pretend games and as a background for all these imaginary landscapes children love to build. Along the way your child will observe symmetry, angles and might even discover multiplication.

4. Paint Chips

These are great for creating art that illustrates concepts of gradients. If you have paint chips with little square cut-outs in the middle, you can lay them over different color paint chips in a grid pattern illustrating the idea of combinations.

5. Paper solids

A while ago we wrote about making some not-so-basic geometric solids out of paper plates and paper cups. Even for someone like myself, who has two left thumbs, this is an easy project that comes out picture-perfect. So why not decorate your child’s room with the results?

I’ve just re-decorated my son’s room (which mostly consisted of repainting the walls and re-arranging the furniture). So now the room looks nice, if a bit bland. Writing this post makes me want to get to work decorating it right away! I’d love to hear your math-friendly decor ideas and take a look at your projects.

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Your Child Will Love This Math Game

Math games for preschoolers

Does your child have an interesting math book on her bookshelf? I don’t mean a cute book. And I don’t mean an interesting story that briefly mentions “math”. I’m talking about a book that both teaches math and talks about things of interest to your child.

What got me thinking about this question was “The Coolest Math Problem Ever” blog post on Geekmom.com. It’s a short post about a simple math problem that references a (still-popular?) X-Files show.

Good for you if your child is into X-Files. But what if she is more of a Trekker? Or maybe she’s too young for both and prefers the Mickey Mouse Clubhouse or Handy Manny instead?

For example, my not-quite-5-year old son can care less about pretty much the entire line-up of children’s shows and instead begs for Star Wars and anything “about robots”. His distant cousin, being slightly older and a girl, scoffs at everything unless it has horses in it. And a neighbor’s 2-year old is totally into his toy construction machines.

I bet, if you make math all about, say, robots, horses and trucks, it will be an epic win and your kid will most likely ask you for more math.

Except, it’s hard to find flashcards or workbooks that satisfy such diverse interests. So you have to be creative about it. Make your own and make it into a story because kids love stories.

I snapped the picture above a while ago at an art festival. And it looks totally awesome. But you don’t have to be remotely artistic to play this math story game. You can draw some pretty crude stick figures just as long as you explain to your child that “this is Mickey and this one is Goofy”. Or you can print the images off the Internet.

Math games for preschoolers

The point is you draw a grid, starting with smaller ones for younger or less experienced kids and progressing to larger ones. Draw (or glue) different parts of pictures in the top row and in the left column. For my Star Wars-obsessed boy, this was the game of “Jedis need pants too” in which characters wake up and try to get dressed only to discover that the evil Emperor mixed up all their pants.

Next, tell a story around it trying all the different combinations of the elements. Your child can help you to assemble the resulting combinations by drawing, gluing or just pointing. It might not happen first thing, but as the story progresses, she will become drawn into it more and more.

But hold on, is it really math? After all, there are no numbers here and no counting. You see, instead of counting, you are teaching your child to see and analyze combinations of two variables. Besides, these are not just any old combinations, but structured combinations meaning there’s some structure or pattern behind them (rows and columns of the grid).

Adults use this skill every day, from setting appointments (calendar is a grid) to figuring out bus schedules (grids) and Excel spreadsheets. Shooting higher, some of the hottest professions nowadays rely on visualization and data structuring skills.

Have you played the grid game with your child? We’d love to hear your story. Stumped by your child’s unusual interests? Share them with us and we’ll help you out.

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How to Create Your Own Fun Math Game

Learning about symmetry with a mirror book game.

Mosaic tiles + Mirrors = “Mama, look, the rockets are all flying to the center of galaxy!”

Have you ever tried introducing a new math game or activity to your child only to hear “I don’t want to do it”? Are you always looking for new ideas for bringing more math into your child’s play? If this has been your experience, then this post is for you.

If you ask me, my answer to both these questions will be an emphatic yes. If I had a penny for every game my son rejected, for every puzzle he set aside untouched, for every idea he met with a blank stare, I could easily buy half the books on my Amazon wishlist. As frustrating as this situation is, there are quite a few good lessons I can learn:

Go with your child’s interests – my son couldn’t care less about jigsaw puzzles until one day I brought home a space-themed one. He practically begged me to start working on it. Of course, buying math games for your child’s interests of the day is neither cheap, nor practical. In some cases it might not even be possible (“Star Wars”-themed Candy Land anyone?). But you can use some of your child’s favorite toys instead. For example, using Star Wars Lego mini-figures as game pieces was enough to make Candy Land irresistible.

Let your child lead – I’m not a fan of flashcards, but sometimes they do come in handy. The other day I gave my son a set of 10 cards with different numbers of colored dots on them and asked him to line them up in proper order from 1 to 10. He worked on it for a little without much enthusiasm. Then he collected his Star Wars Lego mini-figs and a couple of Transformers and ordered them to guess the number of dots on each card. He then proceeded to reward them with drinking straws, crayons, and cloth pins.  Guess which math activity ended up being more fun and on which he spent more time?

Observe and ask good questions – Instead of offering ready-to-use solutions, ask questions. “What do you think will happen if you add more blocks to this tower? How many blocks do you think you can add before it topples over?” And instead of an outright praise, make observations. “I see you gave one cup and one saucer to every dolls at a table.”

Notice math –  most of the time our kids are absorbed in some activity that is fun, but doesn’t look very mathematical to us. At least that’s the first impression we get. Yet a tea party for teddy bears develops your child’s one-to-one correspondence skills. Folding and cutting paper develops fine motor skills, but also introduces such math ideas as symmetry and functions.

Join in and enjoy –  if you are bored with an activity, your child is likely to be too. This is not to guilt you into trying to make more of an effort. Instead, find something you enjoy or can get into and play with your child or alongside your child. I love mosaics of all sorts and puzzles. I noticed that when my son and I work on these, time flies and we end up having fun.

Whatever you do, keep it hands on and interesting for both of you. Talk about the game while you are playing it. Learn to find math in everyday activities and objects.  And have fun. Learning math does not have to be boring.

What is yours and your child’s favorite game right now?

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