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Mathematics
in Motion: Star Wars® Pit Droids®
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The
group assembled at Skywalker Ranch was eclectic--two teachers, a
puzzle designer, a mathematician specializing in visual representations
of mathematics, the head of an educational foundation, and four
members of our Lucas Learning® staff. The ideas flowed as we
talked about the importance of learning to think mathematically
and the challenges of working with kids and mathematics. We talked
about the gender divide and about kids who do not believe they are
capable of learning math. Chart paper covered the walls with imaginative
and practical suggestions. Out of this wealth of ideas emerged the
concepts for the critically acclaimed Star Wars Pit Droids.
The team started design with the conviction that everyone is capable
of higher-level mathematical thinking. They accepted the challenge
of creating a game that would grow out of important mathematical
ideas, yet be accessible and engaging for a wide range of users.
An attribute-based game that would require the use of logical reasoning
and mathematical thinking emerged.
An early prototype called "Flatland" was developed to allow experimentation
with puzzle types and attributes. Inspiration came from classical
math puzzles and books, master puzzle designers, and mathematicians.
Puzzle types were created and tested. Our teacher advisors reminded
us that there are many opportunities for people to practice arithmetic
skills, but relatively few for engaging in the mathematics needed
for the next century-the math that underlies computers, networks,
and the digital age.

We began to develop and test the puzzles in "Flatland"-a two-dimensional
grid, at first even devoid of color. Before we knew it, the whole
team was creating puzzles and exchanging them. Informal discussions
popped up about the puzzles. Clearly there is something inherently
engaging in this form of game play. These experiences told us two
things: solving engaging puzzles is fun and making challenging puzzles
is equally rewarding.
The handcrafted puzzles reflect four areas of mathematics: set theory,
geometric and spatial relationships, ratios, and functions. The
geometry is varied to include puzzles on both square and hexagonal
grids. The game structure is designed flexibly, allowing players
to move through a series of increasingly complex puzzles or to select
and play puzzles at a level of their choice. Reflection and problem
solving are encouraged because the student has opportunities to
pause the game to think or replay a puzzle without penalty. A Puzzle
Maker feature gives kids the opportunity to design and exchange
their own puzzles.
On the surface, Pit Droids is a crazy, somewhat addictive
puzzle game filled with whimsy and humor; at its heart it engages
players in sophisticated mathematical thinking.
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