If you carve a pumpkin for Halloween or make pumpkin pie from scratch, you’re going to have a lot of pumpkin seeds. You can put them to good use by turning them into “dice” and playing math games this fall.
First, you’ll need to remove, clean, and dry the seeds. After scooping the pulp from your pumpkin, place it in a bowl of water and gently rub the stringy pulp off the seeds. Rinse them in a colander and let them drain. Prepare a baking sheet with a layer of parchment paper. Do not add any oil. Spread seeds in a single layer on the paper. Bake in an oven preheated to 300 degrees Fahrenheit for 30-40 minutes to dry them. Store them in a plastic bag or airtight container.
These seeds were baked for just over 30 minutes at 300 degrees. After they have cooled, they will be ready to become instruments of learning.
The kind of dice you make will depend on the game you want to play, but for all games the basic idea is the same. Players will toss the seeds and the side that lands face up is the number they will work with. You’ll want to select seeds that are more flat than rounded. Remove any transparent skin that remains on the seeds, so it won’t dissolve in the marker ink and make a mess. Use a regular fine Sharpie or other permanent marker. I find that the extra fine markers tend to dry out while writing on the seed. You can use any color, but for some games the color matters. You’ll also want to establish a top and bottom of the seed. I write all the numbers with the point of the seed on the bottom so 6s and 9s don’t get confused.
Here are some games you can make:
To make a game of “Count the Dots,” draw dots on one side of each seed as shown.
Count the Dots
This works well for young children learning to count. Take six pumpkin seeds. On one side of each seed draw dots like those on a die. Leave the other side blank. To play, toss the seeds and let them land. Count all the dots facing up. The person with the most dots wins!
Add the Numbers
Older children who are learning to add can play with numbers instead of dots. You can vary this depending on the skills of the children. For early learners, make two each of 1, 2, and 3. For children practicing higher number adding, make a range from 1 to 9. To practice adding higher numbers, make a set with all 6s, 7s, 8s, and 9s. Those are scary numbers to add until you get the hang of it, which is the whole point of this game.
To play, toss the seeds, then move the blanks out of the way. Line up the numbers so they are easier to see and add up.
Addition and Subtraction
Working on subtraction? Write the number on one side of the seed in black and write the same number on the opposite side in a different color such as red. Now when you toss the seeds, add all the black numbers and subtract the red numbers. The result could be a negative number!
Playing with addition-subtraction rules where black numbers are added and red numbers are subtracted, this toss would be 1 – 7 – 2 + 4 + 8 – 6 – 9 + 3 + 5 = -3.
This game works with dots or numbers, but requires a set with writing on one side only. Players take turns predicting the outcome of the toss adding up to an odd or even number. The first player calls “odds” or “evens,” tosses, checks the results. S/he gets a point if s/he is right, a point goes to his or her opponent if s/he guessed wrong.
Numbers and Symbols
You can have more than numbers on your dice. Make a set of seeds that include numbers and function symbols: + , -, ×, and ÷. Each player should have her own identical set of seed dice. All players toss at the same time and the person who can make the number sequence with the highest answer wins. In this game, players are allowed to combine numbers to make a larger number. For example, a 1 and a 2 can become 21, as long as all the exposed numbers and symbols are used. The simplest rules for this game will be to take the order of operations from left to right, but players who want to stick to the “PEMDAS” order of operations (parentheses, exponents, multiplication, division, addition, subtraction), can certainly work that into the game.
Working with numbers and symbols gives a score of 413 for this toss.
To make the game more cooperative, play the same game above, only this time the two players try to make their two number statements equal each other, or get as close as possible. This is more difficult to accomplish. so it’s all right to be a little flexible with the rules, since the players are not competing and you won’t have to settle disputes.
Players can make up their own games. They can also work in more complicated operations like exponents, or they can arrange the placement seeds above and below a line to represent division (this may require paper and pencil). Chances are, if they have reached this level of sophistication with mathematical operations, they would prefer eating the seeds to playing with them, but it’s still a fun challenge.
Whatever their level, when players have exhausted their interest in the seeds, be sure to take a break and enjoy some pumpkin “pi.” Sorry, I had to include that, because let’s face it, if you’re playing math games for fun, you’re a person who appreciates this humor!
“Pascal Pumpkinhead” gave the seedy contents of its head for mathematics.
©2014 Chicago Botanic Garden and my.chicagobotanic.org