Agriculture
Earth-Friendly Fabrics
Keeping Bugs Away from Food
Vitamin D-licious Mushrooms
Amphibians
Bullfrogs
Poison Dart Frogs
Salamanders
Animals
Life on the Down Low
Little Bee Brains That Could
A Fallout Feast for Crabs
Behavior
Monkeys in the Mirror
Between a rock and a wet place
Hitting the redo button on evolution
Birds
Kiwis
Backyard Birds
Songbirds
Chemistry and Materials
These gems make their own way
The hottest soup in New York
Getting the dirt on carbon
Computers
Graphene's superstrength
The science of disappearing
Computers with Attitude
Dinosaurs and Fossils
Hunting by Sucking, Long Ago
Fossil Fly from Antarctica
Battling Mastodons
E Learning Jamaica
E Learning in Jamaica WIN PRIZES and try our Fun Animated Games
Results of GSAT are in schools this week
2014 GSAT Results for Jamaican Kids
Earth
Snowflakes and Avalanches
Arctic Algae Show Climate Change
Meteorites may have sparked life on Earth
Environment
To Catch a Dragonfly
A Newspaper's Hidden Cost
Missing Tigers in India
Finding the Past
Digging Up Stone Age Art
A Big Discovery about Little People
Watching deep-space fireworks
Fish
Trout
Goldfish
Sting Ray
Food and Nutrition
The Essence of Celery
How Super Are Superfruits?
Healing Honey
GSAT English Rules
Who vs. Whom
Whoever vs. Whomever
Adjectives and Adverbs
GSAT Exam Preparation Jamaica
2014 GSAT Results for Jamaican Kids
Scotiabank Jamaica Foundation Grade Six Achievement Test (GSAT) Scholarships
Mastering The GSAT Exam
GSAT Exams Jamaica Scholarships
GSAT stars reap scholarship glory
GSAT Practice Papers | GSAT Mathematics | Maths
2014 GSAT Results for Jamaican Kids
GSAT Mathematics
Secrets of an Ancient Computer
Play for Science
Deep-space dancers
Human Body
Prime Time for Broken Bones
Sea Kids See Clearly Underwater
Attacking Asthma
Invertebrates
Cockroaches
Horseshoe Crabs
Beetles
Mammals
Mule
Lion
African Elephants
Parents
What Not to Say to Emerging Readers
Raise a Lifelong Reader by Reading Aloud
Expert report highlights the importance to parents of reading to children!
Physics
Spin, Splat, and Scramble
The Particle Zoo
Extra Strings for New Sounds
Plants
White fuzzy mold not as friendly as it looks
Getting the dirt on carbon
Surprise Visitor
Reptiles
Alligators
Reptiles
Black Mamba
Space and Astronomy
Unveiling Titan
Black Holes That Burp
Planets on the Edge
Technology and Engineering
Weaving with Light
Reach for the Sky
Morphing a Wing to Save Fuel
The Parts of Speech
What is a Noun
Countable and Uncountable Nouns
What is a Preposition?
Transportation
How to Fly Like a Bat
Reach for the Sky
Tinkering With the Basic Bike
Weather
Where rivers run uphill
Science loses out when ice caps melt
Polar Ice Feels the Heat
Add your Article

How to Slice a Cake Fairly

Sharing can be hard. Every kid knows that, and mathematicians do, too. So mathematicians have spent a lot of time thinking about how to make sharing easier. Mathematicians are particularly fond of sharing birthday cake. Not just any birthday cake, but one with lots of icing and various decorations, with nuts here and coconut there. Then they ask, if two people like different parts of the cake better, how can they divide the cake into two pieces so that they're both satisfied with the piece that they each get? There's an old solution known as "I cut, you choose." You start by cutting the cake into two pieces that you like equally well. Then your friend picks the one that she prefers. The two pieces don't have to be the same size. If you particularly like nuts, for example, you might make the piece with fewer nuts bigger, so that you'd be happy no matter which piece your friend chose. You'd end up with either a smaller piece with lots of nuts or a larger piece with fewer nuts. But Steven Brams of New York University doesn't think that's fair. When you're done, you get a piece that you might think is worth half the value of the cake. But your friend might think that she got much more than half the value of the cake. For example, suppose that your friend really likes coconut, and the bigger, less nutty piece has lots of coconut. Then she'll think that she's gotten a really great deal. She got not only more cake but also the best part! Brams says that a division should be considered fair only if two people think they both got pieces of the same value. He's worked out a new procedure for cake-cutting that makes this happen. Here's how it works. You and your friend would each tell your mom where you would divide the cake into two pieces. If the two of you happen to pick the same spot, she'd simply divide the cake at that spot. Both of you would be equally happy with your shares. But suppose the two spots are different. If your spot were to the left of your friend's spot, you'd get the piece to the left of your spot. Your friend would get the piece to the right of her spot. And there'd be a piece left over in the middle. Your mom would then split the middle section between you and your friend. That way, you each get a piece that you value equally—plus a bonus! It's a neat idea, but is such a procedure practical? Would you use it? "I don't know if anyone other than me has actually brought a cake in and tried to divide it," says James Tanton, a mathematics teacher at St. Mark's School in Southborough Mass. Such schemes often don't work in practice. "Human beings are too fuzzy," he says. "They change their minds."—J.J. Rehmeyer

How to Slice a Cake Fairly
How to Slice a Cake Fairly








Designed and Powered by HBJamaica.com™