Playing Math with A.A. Milne

Posted on by Denise Gaskins

Halfway down the stairs
Is a stair
Where I sit.
There isn’t any
Other stair
Quite like
It.
I’m not at the bottom,
I’m not at the top;
So this is the stair
Where
I always
Stop.

Halfway up the stairs
Isn’t up
And isn’t down.
It isn’t in the nursery,
It isn’t in the town.
And all sorts of funny thoughts
Run round my head:
“It isn’t really
Anywhere!
It’s somewhere else
Instead!”

—A.A. Milne
When We Were Very Young (affiliate link, see details)

The Stair-Counting Game

Play on any set of stairs where you won’t get in other people’s way. Start at the halfway step.

  • Roll one 6-sided die. Go up that number of steps.
  • Roll again. This time, go down that number of steps.
  • Keep rolling the die, alternating movements up and down.

Will you ever escape the stairs?

Fill the Stairs Game

Each player draws 11 stair steps (counting the top and bottom floors) on a piece of paper. Write zero on your middle step.

Remove the face cards and jokers from a deck of playing cards. Mix the remaining cards face down in a fishing pond.

  • On your turn, choose one card. Red cards are negative numbers, and black cards are positive.
  • Write the number from your card on one of your stair steps.
  • Then mix your card back into the pond.
  • The first player to fill their stairs with numbers in order wins the game.

The numbers have to grow as you go up the stairs and get smaller going down. But you can skip numbers. For instance, you could put +2 on the stair above zero, if you like. Or you could write −4 two steps below zero, leaving only one blank in between.

If you draw a card that will not fit on your stairs, you lose that turn. Mix the card back into the pond without writing anything.

If you make a mistake — like putting +9 too close to the middle, so there’s no way to fill the higher stairs — you can use a turn to erase one number on your stairs. You don’t get to choose a new card on the same turn as erasing a number.

Fill the Stairs Variations

Help young students understand negative numbers. A stairway makes an excellent number line visual.

Download the place value version (no negative numbers) of the stairway game from Math for Love.

Or discover variations for all grade levels at Math Hombre blog. I especially like John’s Decimal Point Pickle game. And the exponential version looks like a fun challenge.

Your Turn

Do you play stairway math? Please tell us your games and variations in the comment section below.

Or share other ideas for playing math with children. I love to hear new ways to play!

2020 Mathematics Game — Join the Fun!

Posted on by Denise Gaskins

New Year’s Day

Now is the accepted time to make your regular annual good resolutions. Next week you can begin paving hell with them as usual.

Yesterday, everybody smoked his last cigar, took his last drink, and swore his last oath. Today, we are a pious and exemplary community. Thirty days from now, we shall have cast our reformation to the winds and gone to cutting our ancient shortcomings considerably shorter than ever. We shall also reflect pleasantly upon how we did the same old thing last year about this time.

However, go in, community. New Year’s is a harmless annual institution, of no particular use to anybody save as a scapegoat for promiscuous drunks, and friendly calls, and humbug resolutions, and we wish you to enjoy it with a looseness suited to the greatness of the occasion.

— Mark Twain
Letter to Virginia City Territorial Enterprise, Jan. 1863
quoted in Early Tales & Sketches, Vol. 1: 1851-1864 (affiliate link)

If you’d like to enjoy a mathematical New Year’s Resolution, may I recommend Evelyn Lamb’s Math Reading Challenge? I haven’t decided if I’m going to follow along, but it does look like fun.

Meanwhile, I do resolve to challenge myself with more math puzzles this year. Would you like to join me?

Here’s a great way to start: with the 2020 Mathematics Game!

Click here to continue reading.

Playing with a Hundred Chart #35: The Number Grid Game

Posted on by Denise Gaskins

This is a pretty simple game, but it makes a nice variation on the Race-to-100 game for young children who need to work on counting by tens from any number.

See the Number Grid Game (PDF)

How to Play

You’ll need a 6-sided die, a hundred chart (printables here), and a small token to mark each player’s square. A crumpled bit of colored construction paper works well as a token.

Take turns rolling the die. If you roll:

  • 1: Move either 1 or 10 squares, your choice.
  • 2: Move either 2 or 20 squares.
  • 3–6: Move that number of squares.

The first player to reach the final square by exact count wins the game.

Variation #1: For a shorter game, the first player to move off the board wins. You don’t have to hit the final square by exact count.

Variation #2: For a longer game, if you cannot move your full roll forward, you must move backward. Rolling 6 is a “wild card” — you can move any number from one to ten.

Variation #3: Count down. Start at the highest number on your chart and subtract each roll, moving toward zero. If you have a chart like the original shown above, a player whose move goes past zero into negatives will add the number on their next roll.

More Ways to Play on a Hundred Chart

A hundred chart can provide mathematical play from preschool to high school. The list on my blog began many years ago with seven activities, games, and logic puzzles.

Wow, has it grown!

Discover 30+ Things To Do with a Hundred Chart

New Math Board Game: MULTI on Kickstarter

Posted on by Denise Gaskins

If the math classic The Product Game got together with Ultimate Tic-Tac-Toe, this game would be their child.

According to game creator Federico Chialvo, “MULTI is a fantastic 2-player math game designed with the joy of mathematics in mind. This game is so fun your kids won’t want to stop playing, and neither will you!”

Originally designed for students in 2nd-5th grade, MULTI helps children develop fluency with multiplication facts and the relationship between multiples and factors. Even better, the rich strategy and gameplay can be enjoyed by people of all ages.

If you want to play math with an elementary-age child, check out the Kickstarter:

Click Here for the MULTI Game on Kickstarter

“Mathematics is a polarizing topic! For some, it is a fountain of wonder, beauty, and intrigue. For others, it is a cold dark thing, something to be avoided or even feared. Yet, my experience has shown that everyone can find joy in mathematics when it is presented in the right way.”

—Federico Chialvo
MULTI – Math Board Game – Fun For All Ages!

Math Game: Place Value Fish

Posted on by Denise Gaskins

Math Concepts: addition, subtraction, place value to six or seven digits.
Players: two or more.
Equipment: pencil and paper.

Set-Up

Each player needs a sheet of blank or lined paper, and a pencil.

At the top of your page, write a 6-digit number. All the digits must be different, and none of them can be zero.

How to Play

On your turn, you go fishing for points. Ask one other player, “Give me your _____’s.” The blank is for the single-digit number of your choice.

The other player answers, “You get _____.” This blank is for the value of that digit in the other player’s number.

For example, suppose you asked for 5’s. If the other player has a 5 in the tens place of his number, you get 50 points. But if 5 was in the ten-thousands place, you would get 50,000. And if there is no 5 at all, you get zero.

You add those points to your number. The other player subtracts the points from his number.

Then it’s the next player’s turn to go fishing.

Notice These Rules

Your number may change with each turn (except when you get zero). Always use your most recent number to add or subtract the fishing points.

If you have more than one of the digit asked for (like the player on the left above, who has two 7’s), you may choose which one to give away. That is, you can give the other player 70 points and not even mention the 7,000.

Endgame

Keep taking turns until every player gets five chances to fish for points. After five rounds, whoever has the highest score wins the game.

UNLESS the winner made an arithmetic error.

Be sure to check each other’s math, because any player who makes a mistake automatically loses the game.

Share the Fun

If you try this math game with your kids, I’d love to hear how it goes. Please drop a comment below.

And tell us about your favorite math game, so we can all play that, too. 😀

CREDITS: This game comes from Michael Schiro’s book Mega-Fun Math Games: 70 Quick-and-Easy Games to Build Math Skills. Feature photo (top) by Ruben Ortega via Unsplash.

A Puzzle for Palindromes

Posted on by Denise Gaskins

If you haven’t seen the meme going around, this is a palindrome week because the dates (written American style and with the year shortened to ’19) are the same when reversed.

Here’s a math puzzle for palindrome week — or any time you want to play with math:

  • Print a 100 chart.
  • Choose a color code.
  • Play!

What do you think: Will all numbers eventually turn into palindromes?

Links

You can find all sorts of hundred charts on my Free Math Printable Files page.

Read about the history of palindromes on Nrich Math’s Palindromes page.

Find out more about the Palindromic Number Conjecture in Mark Chubb’s article An Unsolved Problem your Students Should Attempt.

Or play with Manan Shah’s advanced palindromic number questions.