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Pumpkin Seed Math Games

Kathy J. —  October 20, 2014 — Leave a comment

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.

PHOTO: Pumpkin seeds on baking tray.

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:

PHOTO: Pumpkin seeds painted like dominoes.

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!

PHOTO: Numbered pumpkin seeds.

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.

Evens/odds

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. 

PHOTO: Numbered pumpkin seeds and some with math symbols.

Working with numbers and symbols gives a score of 413 for this toss.

Matching Equations

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!

PHOTO: Pumpkin with carved numbers for facial features.

“Pascal Pumpkinhead” gave the seedy contents of its head for mathematics.


©2014 Chicago Botanic Garden and my.chicagobotanic.org

It’s that time of year in schools again: time for science fair projects!
tomato project

As I’ve stated before, we in the education department of the Chicago Botanic Garden are committed to helping parents and teachers find great projects that teach students how plants sustain and enrich life. Last year we talked about using radish seeds; this year, it’s tomato seeds. And like last year, this project can be done by an individual student, a small group or ecology club, or an entire class.

Let’s begin by thinking about tomato seeds. Cut open a tomato and try to pick out a single seed. Go ahead and try it, I’ll wait.

PHOTO: This close up of a tomato seed shows the transparent coating that surrounds the tomato seed.

These tomato seeds glisten and mock me when I attempt to pick them up with my fingertips. The little brats also resist sliding off the cutting board.

 
As you will discover (if you didn’t already know) the seeds are coated in a gelatinous substance that makes them slippery and difficult to handle. So the first question is, what purpose does the slimy coating serve?

This is not the kind of blog post where I give you all the answers. That would not be good science teaching. I will tell you that tomato seeds can pass through the digestive tract of an animal and still germinate. Not all seeds can do that. It is possible that in nature, the coating protects the seeds on their journey from the mother plant through the hostile environment of a hungry animal’s gut and on to wherever that animal relieves itself.

Another theory is that the coating prevents premature germination of the seeds while they are inside the warm, moist, ripening fruit. Whatever the true reason—and there may be several—seed savers find it’s better to remove that coating after the seeds are harvested, because they become easier to handle and store.

The natural way to remove the coating is to ferment the seeds in a jar or bowl. It’s a simple procedure.

1. Scoop or squeeze the seedy pulp out of the tomatoes and put it into a bowl. (I prefer glass, but some people use plastic.) Add water equal to the volume of tomato pulp. Cover the bowl with plastic wrap and poke a few holes in the top.

PHOTO: glass bowl about a third full of tomato pulp, covered with plastic wrap, sitting on the windowsill.

Here are the seeds from three medium sized tomatoes, sitting by the window on the back porch, waiting to ferment.

2. Place the bowl in a warm location such as a sunny window. It is going to smell bad, so don’t put it in your dining room, unless you’re trying to reduce your appetite. You will also want to avoid fermenting your seeds next to bananas and other fruit ripening in your kitchen, because it can attract fruit flies. Leave it there for 3 to 5 days, depending on the conditions. Natural “beasties” in the air (yeast) will settle on the sugary goodness of the tomato. They will gorge themselves and reproduce, resulting in a yucky mess floating on top of the mixture. This is exactly what you want.

PHOTO: the bowl of tomato seeds is covered in white stuff.

In four days, my tomato seeds were ready, with a thin layer of white scum floating on top. Be very glad odors are not transmitted over the internet.

3. After you have grown a nice head of gunk on your seeds, remove that film and throw it away. (Unless you’d like to keep it for some reason.)  If you can’t skim all of it, no worries, the remaining goo will rinse off in the next step. Remove any floating seeds, too—they are not viable.

4. Pour the mixture into a sieve or wire strainer with fine mesh and rinse well, shaking the seeds gently to remove any remaining pulp and seed coatings.

PHOTO: The tomato seeds are spread out on a wax paper so they do not touch.

The most tedious part of the process is spreading out the seeds so they do not touch each other.

5. Dump the seeds onto wax paper. Poke at the seeds with a toothpick or other clean utensil to separate them. Remove any dark seeds that don’t look right. They are not viable. Let the seeds air dry on the wax paper in a protected place for about a week.

6. Store the completely dried seeds in an envelope until you are ready to use them.

PHOTO: close up of several tomato seeds - you can see the fuzzy outer layer of the seeds.

The cleaned and dried seeds are coated with tiny white hairs. These hairs were holding the gooey coating on the fresh seeds and now they will help the seeds soak up moisture when they are planted.

Now comes the science question: Do tomato seeds really need this kind of abuse to germinate?

The only way to find out is to experiment. Collect seeds from some ripe tomatoes—2 or 3 tomatoes will do. Ferment half of the batch using the directions above. Rinse the remaining half with water in a sieve (to remove any attached tomato pulp), and then dry them on wax paper without any other treatment. When you have all the seeds dried, use the same procedure from Eleven Experiments with Radish Seeds to measure and compare germination rates.

PHOTO: Ten tomato seeds are arranged on a paper towel in three rows; the towel is on a plate.

These ten fermented and dried tomato seeds are ready for germination testing.

Since you’re curious and kind of into this now, see if you can figure out if there are other ways to remove the seed coating that result in equal or better germination success. Some seed savers skip the fermentation and instead clean their tomato seeds with a solution of Oxi Clean. You can add this treatment to your experiment by dividing your batch of tomato seeds into three parts for: untreated, fermented, and Oxi Clean treatments.

The Oxi Clean method goes like this:

  1. Put the tomato seeds in a measuring cup and add water to make 1 cup of liquid.
  2. Add 1 tablespoon Oxi Clean power to the mixture and stir to dissolve.
  3. Let the seeds soak for 30 minutes.
  4. Rinse thoroughly in a sieve and dry on wax paper, just as you would with the other treatments.

As you will see, the Oxi Clean method is faster and there is no offensive odor, but is it better for germination?

PHOTO: A 16 ounce container of Oxi Clean Versatile Stain Remover

This product contains sodium percarbonate and sodium carbonate, no bleach, and will work for your experiment.

Note: if you Google information about this, you will find articles that discuss Oxiclean (one word) vs. Oxi Clean (two words). The two commercial products are made of different chemicals. The former is a liquid that contains sodium hypochlorite (chlorine bleach), the latter, promoted by Billy Mays, does not. For the purposes of this experiment, the less caustic, powdered Oxi Clean pictured in this blog post works perfectly well. Students should report the actual chemical names in the materials list, not just the product name. It’s just like using the scientific name of a plant instead of the common name—it’s more accurate and less confusing for someone who wants to replicate the experiment.

If you are ambitious, try a treatment of your own. After all, three tomatoes are going to give you a lot of seeds to test. My daughter tried soaking some of her seeds in vinegar. Perhaps regular dish soap or ordinary laundry detergent will remove the seed coating. Or you could try a cleaner that contains chlorine bleach. It’s up to you. Please remember to wear goggles and plastic or latex gloves while handling any chemicals because, like the tomato seeds, your eyes and hands may need a protective coating to escape harm.

I’d like to tell you what is going to happen, but then I would totally lose street cred and face ridicule from my science teacher peeps. One hint, though: be sure to measure the timing of germination as well as the number of seeds that germinate in each condition. If you want to know what happens, you’ll just have to cut open some tomatoes and try it yourself.


©2014 Chicago Botanic Garden and my.chicagobotanic.org

Meet Melyssa Guzman. She is one of 20 College First students who spent eight weeks learning about environmental science and doing a research project at the Chicago Botanic Garden. 

2014 PHOTO: College First student Mely G.

College First student Mely G. would like people to plant butterfly gardens in their yards.

Mely, as she likes to be called, is a junior in the Chicago Public Schools district. She’s kind of a “girlie” young woman who wears a lot of pink, and likes flowery, feminine things. Mely also loves science. Each student had a staff mentor; I was Mely’s. Her project was teaching the public about butterfly-attracting flowers.

Although drop-in programs and exhibitions may be considered more “education” than “science,” understanding how people learn is an area of social science research that can challenge a smart student like Mely. This summer, Mely learned that museums and public gardens often test exhibitions and learning activities, using methods similar to those practiced by conservation scientists, to see how visitors will respond.

Mely began by researching butterflies and the flowers they prefer. Then she decided to set up a display at the Butterflies & Blooms exhibition, where she would teach visitors what flowers to grow in their yards to attract butterflies. The display would have different kinds of flowers—real flowers and pictures—and she would stand and talk with people who were interested.

PHOTO: Mely G. taking notes.

After each group of visitors, Mely recorded notes about how long they stayed at her table, and how interested they seemed.

As kids today would say, her first try was an “epic fail.” Most visitors looked at her display with curiosity, but they seemed perplexed and did not stop to learn more. The display was lovely, with fresh flowers and pictures of native butterflies, but it lacked a clear focus. It needed something else to draw visitors in. The display board kept blowing over, which was another big problem.

PHOTO: Mely G. prepares a display.

Back to the drawing board: Mely made a new display— one that would stand up better and entice visitors with a title that asks: “What Is a Butterfly Flower?”

Mely brought the exhibit inside and modified the whole thing. Instead of using a folding display board, she mounted a poster board on a cardboard box so it would be more stable when taped to the table. She added a title, “What Is a Butterfly Flower?” as well as some facts about butterfly flowers. Then she tested the display again. After each group of visitors, she recorded the time they spent at her table, and gave them a score of 1 to 4 to rate how interested they were, the kinds of questions they asked, and things they talked about while looking at the display.

Museum exhibit developers call this process “rapid prototyping.” Inexpensive mock-ups of exhibits are tested to ensure they work—that visitors enjoy them and get the intended messages—before the museum invests a lot of money on a permanent display.

PHOTO: 2014 College First student Mely G. gives a demonstration.

A mother and daughter listen as Mely explains what colors, scents, and shapes attract butterflies to a flower.

Mely made a few more minor changes to her display. Then she tested a hypothesis. She observed that adults with children seemed more distracted than those without children; that they did not seem to talk to her as much as the childless groups. She hypothesized that adults without children would spend more time, ask more questions, and talk more about butterflies than mixed-generation groups. She used the data she gathered during prototyping the display, analyzing who stopped by her table, how long they spent, and how engaged they were.

Surprisingly, she discovered that families with children actually spent a little more time on average than adults alone. She thought this may be true because adults who brought children to her display spent their time explaining things to them instead of talking to her. In other words, the adults were not distracted, but were directing attention on their children to help them also learn from the display.

Mely does not fully realize that she has stumbled upon a very significant principle of learning: that learning is social. Educational research has shown that interaction between family members has a positive influence on learning in museums and in other environments. I’m very proud of Melyssa’s accomplishment this summer, and I look forward to seeing her expand her research next summer—because we both learned something!

©2014 Chicago Botanic Garden and my.chicagobotanic.org

One of our favorite insects at the Chicago Botanic Garden is the praying mantis. So we were very excited to obtain an egg case earlier this spring. We decided to keep it indoors so we could watch it hatch, and then release the newly hatched insects into the Garden.

PHOTO: Preying mantid egg case on a twig.

About 100 praying mantises emerged from this ootheca and were released into the Grunsfeld Children’s Growing Garden.

A praying mantis egg case is called an ootheca (pronouned oh-uh-THEE-kuh). The plural is oothecae (oh-uh-THEE-see). The ootheca was produced by a female praying mantis last fall. She laid her eggs in this foam of protein that hardened around a stick and protected the eggs through the winter. The eggs usually hatch in mid-June to early July. The half-inch-long immature praying mantis nymphs resemble the adult, but they do not have wings. 

PHOTO: Hundreds of baby mantids pour out of an egg case.

Colorless praying mantis nymphs emerge from the ootheca all at one time. During their first hour, they darken in color to blend in with their surroundings.

After our praying mantises hatched inside an insect cage, I discovered that a bed of false sunflower plants (Heliopsis helianthoides) in the Grunsfeld Children’s Growing Garden was infested with red aphids. I released the praying mantises, and the hungry babies immediately began to feed.

PHOTO: Mantis nymphs on the head of a Rudbeckia flower covered with aphids.

At first, the praying mantis babies seemed a little bewildered by their new surroundings, but they quickly acclimated.

PHOTO: Mantis nymph on a flower stem eyes aphids—a tasty meal.

This mantis held very still as it eyed its prey.

PHOTO: A row of mantis nymphs on a leaf face a stem covered with red aphids.

These four little mantises lined up and stared at the aphids that would certainly become lunch soon.

It wasn’t exactly aphid carnage—much to the disappointment of our eighth grade Camp CBG helper, Joshua, who assisted me with the release—but the young predators did appear to enjoy their first meal.  

PHOTO: Preying mantis on liatris bloom in August.

By the end of August, some of our little friends will be as big as this praying mantis (and just as hungry)!

It may surprise you to know that although it looked like a bad infestation, aphids are not really a big problem for the plants. When they are very abundant, it does not take long for natural predators like praying mantises and ladybugs to find them and move in for a feast. Predatory insects will take care of the problem if you are patient and let nature take its course. If aphids show up in your garden and they bother you, we recommend hosing them off with water rather than using an insecticide, because chances are pretty good that there are beneficial insects on your plants, too. Hosing with a strong jet of water will knock off all the bugs and kill most of the aphids, but it won’t be as devastating to the mantises or other beneficial insects as poison.

We have placed praying mantis oothecae in the Regenstein Fruit & Vegetable Garden and Elizabeth Hubert Malott Japanese Garden, as well as in the Children’s Growing Garden, to ensure that there will be a population of our favorite insect for you to find. Many of them will survive on aphids and other insects they capture and devour on our flowers, and they will grow up over the summer. The next time you visit, stop by and see if you can find them helping our plants remain healthy and less bothered by pests.

©2014 Chicago Botanic Garden and my.chicagobotanic.org

Having three daughters in middle school means trying to find a nice way to show my appreciation to all of their teachers. When I say “all” for the middle grades, that is not just three teachers any more, because they have separate teachers for each subject, as well as “special” teachers for art, gym, music, and library. And then there is the office staff members who were really nice and helpful during the year.

Do I need to give everyone something? Certainly not. But I would like to end the year on a pleasant note and say “Thanks!” for serving my three children—without spending too much money, that is. The answer is plants (which is what you expected from a Chicago Botanic Garden blogger, right?). 

PHOTO: A flat of 3-inch lavender pots.

This flat of lavender came in pots with care labels. All we need to do is add thank-you notes.

Every year, I go to a local nursery and buy a few flats of herbs or flowers. I prefer going to a local, small nursery or greenhouse rather than a large franchise store that sell other products. The plants tend to be in better condition, and supporting local businesses is good for the community. And it’s fun meeting and getting to know small business owners.

My daughters help choose the plants, which means we usually get purple flowers of some kind. If the plants come in cell packs, we transplant them to inexpensive containers. Otherwise, we give them as they come from the nursery. It does not have to be fancy to make everyone happy.

We make a thank-you note on the computer. It includes information about how to care for that plant. Then we use use bamboo skewers (left over from making rock candy!) or plastic forks to hold them in place.

PHOTO: An oregano plant with a thank-you note attached.

We used a bamboo skewer to attach a thank-you note and oregano care instructions.

PHOTO: Lily of the valley plant, with thank you not held in the pot through the tines of a fork.

One teacher requested a plant for a shady yard, so we included some lily of the valley in the selection, and used a fork to attach a thank-you note.

I set aside one plant for each daughter to personally present to her homeroom teacher. I bring the rest of the plants to the school office during the last week. After years of doing this, the office staff now anticipates the delivery as if it’s Christmas. (I also bring a package of paper lunch bags so teachers have a clean way to carry their plants home.)

The principal makes an announcement during the school day that any teacher who would like a plant can pick one up in the office—first come, first served. Even if a teacher doesn’t want to take a plant (I’m pretty sure the computer lab instructor at our school is not interested), he or she can enjoy looking at them and smelling them in the office. That takes care of everyone I want to thank. All plants are claimed by the end of the day.

PHOTO: Seed packed with a label saying, "Thanks for planting the seeds of knowledge."

Creative wording makes writing the notes fun.

If this works for me, it can work for you, too. If plants are too much of a hassle or expense, consider giving seeds instead. Attach a ribbon with a note to let the teacher know your gratitude. You can say something cute such as “Thanks for helping me grow!”

Or use a clever rhyme:

Just like the year I spent in your room, I hope these seeds germinate, grow up, and bloom.

Looking for another idea? There’s always Bottle Cap Bouquets, which delight teachers and mothers alike. Cheap and cheerful!

I wasn’t sure how much the teachers appreciated the plants until one teacher asked my daughter if I would be bringing plants again, and what kind they might be. She was looking forward to the end of school, but she was also looking forward to taking home a plant to start the summer.

©2014 Chicago Botanic Garden and my.chicagobotanic.org