CMC^{3} Recreational Math Conference
Lake Tahoe
April 21 and 22, 2017
At Lake Tahoe Community College
Full Program:
Click Here for
the Full Conference Program
Register for the Conference:
Early registration for the
conference ended on April 7. Everyone is still welcome to
register on site for $115 for general attendees, $105 for CMC^{3}
members and $5 for full time students.
Book your Room
To reserve a room at the Beach Retreat & Lodge you can either:
1. Call (800) 9728558, select option 2 (Group Reservations) and
make a reservation for the CMC3 Annual Math Conference, and the
Group Code is GCMC3C.
OR,
2. Book online at:
http://bookings.ihotelier.com/bookings.jsp?groupID=1765462&hotelID=97034
Group rates:
$ 80.00 for Standard rooms
$100.00 for Partial Lake View rooms
$120.00 for Beachfront rooms
Rates are nightly and exclude a 12% occupancy tax and $3 local
TID tax. Pet friendly rooms are an additional $40.00, plus taxes
and fees per night.
Extra Events
Your $70 registration comes with a catered lunch and continental
breakfast. There will also be a Geocaching event
immediately after lunch. Weather permitting, you will be
given math problems whose solutions are the GPS coordinates of
the hidden cache.
Saturday Keynote Speaker:
John Callas, Director of the Mars Rover Project at JPL and Math
Faculty at Pasadena City College
Are we alone in the universe? Essentially a Mathematical
Question
Five hundred years ago, Copernicus
advanced the theory that the Earth was not the center of the
Solar System. That theory revolutionized our understanding of
the Universe. It was initially met with great opposition
because of what it meant about our own significance. Today
there is a second Copernican revolution underway that will once
again alter our significance. Advances in technologies and
techniques, and the application of mathematics are enabling the
detection, observation and study of Earthlike planets around
other stars with recent results suggesting an incalculable
number of candidate worlds. And several deepspace missions are
currently exploring potentiallyhabitable worlds within our own
Solar System as possible abodes for life beyond the Earth. With
several candidate habitable worlds within our Solar System, and
a likely uncountable number of solar systems in the Universe, we
are once again left with a great challenge to our own
significance. Within the next few years, we may be poised to
answering that central question, "Are we alone in the Universe?"
John L. Callas, of NASA's Jet Propulsion Laboratory, Pasadena,
Calif., has been project manager of NASA's Mars Exploration Rover
project since March 2006. Previously, as science manager and then
deputy project manager, he had helped lead the rover project since
2000. Callas grew up near Boston, Mass. He received his Bachelor's
degree in Engineering from Tufts University, Medford, Mass., in 1981
and his Masters and Ph.D. in Physics from Brown University,
Providence, R.I., in 1983 and 1987, respectively. He joined JPL to
work on advanced spacecraft propulsion, which included such
futuristic concepts as electric, nuclear and antimatter propulsion.
In 1989 he began work supporting the exploration of Mars with the
Mars Observer mission and has since worked on seven Mars missions.
In addition to his Mars work, Callas is involved in the development
of instrumentation for astrophysics and planetary science, and
teaches mathematics at Pasadena City College as an adjunct faculty
member.
Friday Evening
Keynote Speaker:
Rick Luttmann, Sonoma State University
The Battleship Game
Click Here to watch
the full talk on youTube
We will discuss a simplified
version of the game of “Battleship”, producing the optimal
strategies for both an attacking and a defending player. This game,
though greatly simplified, will provide an opportunity to understand
the principles of the mathematical field known as Game Theory, which
uses lowlevel tools to analyze situations of conflict and
competition such as those occurring in economics, criminal justice,
romance, and warfare that are not at all recreational.
Rick Luttmann is
Professor Emeritus of Mathematics at Sonoma State University in
Rohnert Park, California. He earned degrees in mathematics from
Amherst College (BA 1961), Stanford University (MS 1964), and the
University of Arizona (PhD 1967). As an editor for the MAA's
"Monthly" problem section, he specializes in classical geometry.
PowerPoint
PDF
Written
Description
Saturday Student Speaker
Gabriel Fredericks, Solono College
Practical and Theoretical Significance of LFunctions
Complex analysis is an important field in
modern mathematics, having many important applications in both
pure and applied mathematics, as well as many disciplines of
science. An overview of the history and importance of
holomorphic functions, Dirichlet series, and Lfunctions will be
given as well as their applications in mathematics.
Gabriel Fredericks is a student of mathematics at Solano
Community College. When he is not busy with schoolwork Gabriel
enjoys learning mathematics beyond the scope of what is normally
given at Solano Community College from professors and books. He
plans to eventually earning a PhD in theoretical mathematics.
Session Talks (Saturday April
22):

Session 1 9:00  10:00 
Session 2 10:30  11:30 
Session 3 2:30  3:30 
Session 4 4:00  5:00 
Room A 208 
Steve Davis
History of Math in Competitive Math Problems

Steve Blasberg
Wanna Hear About My Problems? 
Gizem Karaali
Can Zombies Do Math? OR Humanism as a Philosophy of
Mathematics 
Helene
Nehrebecki
The Math of Rock & Pop 
Room B 103 
Sue Welsch
The Logic and Literature of Lewis Carroll

Paul Kinion
Recreational Exponentiation 
John Martin
From the Abacus to the iPhone 
Tim Melvin
The Randomness of Real Numbers 
Room E 106 
Walter Kehowski
Phoenix Numbers

Michael Serra
Pirate Geometry

Chuck Barnett
Ancient Egypt, Archimedes, the Circle and its
Triangle 
No Session 
Steve Davis,
CSULA
“History of
Math in Competitive Math Problems”
Where do
writers get their ideas for competitive math problems?
Sometimes we just steal a concept from the history of math.
Mathematicians over the centuries have always tried to outdo their
colleagues by dreaming up more complicated problems for each other
to solve. I try to outdo high school students by dreaming up
competitive problems that some rely on historical concepts. I
will demonstrate a few problems I dreamed up with some help from the
history of math. I hope you will participate.
PowerPoint
Charles Barnett,
Las Positas College,
Ancient Egypt, Archimedes, the Circle and its
Triangle: Two PI beats PI as the Circle Constant
Everybody knows that all circles, independent of “size”,
possess a common circumferencetoradius ratio. But “everybody” did
not always know. How was the ratio discovered, and why did later
writers settle on the circumferencetodiameter ratio (PI) instead
of 2PI? And how did the ancients conceive of and estimate the
measure of the area of a circle? A little fantasy mixed with some
tentative history yields a plausible story.
PowerPoint
Steve Blasberg,
West Valley College,
Wanna Hear About
My Problems?
Steve Blasberg is the past Test
Developer for the Student Math League, a national math competition
for twoyear college students sponsored by AMATYC. As he has done
for many years at the Tahoe Conference, he will present some of the
most interesting, creative, and challenging problems (and
solutions!) from last year's Student Math League contest.
Gizem
Karaali, Pomona College,
Can Zombies Do Math? OR Humanism as a Philosophy of
Mathematics
Skimming through recent book and movie titles, one might
imagine that we are headed for a zombie apocalypse. Many have
written about what this would entail for our civilization, for our
culture, and even for our consumerist tendencies. In this talk we
will look at yet another facet of this phenomenon: What would
happen to our mathematics? Guided by the history and the philosophy
of mathematics, we will pose and search for answers to fundamental
questions about the nature of mathematics and how it relates to our
humanity. It is this speaker's main goal that by the end of the
talk, the audience will be able to answer the question on the title,
along with a few other, possibly more respectable, philosophical
questions, such as "What is 3?"
Helene Nehrebecki,
American River College
The Math of
Rock and Pop
Have you ever noticed that math and music are closely related?
I decided to research this relationship myself and share the
results. We will discuss the mathematics of music, particularly rock
and pop. Experiments performed by Pythagoras show how frequencies
are intentionally made so people can enjoy music. Included will be a
demonstration on measuring frequencies on a chromatic scale, ratios
of major musical chords, the designing of instruments, a brief
history of popular music, and the math behind melodies and lyrics.
COME FOR THE MATH, STAY FOR THE ROCK N ROLL!
PowerPoint
Sue Welsch,
Sierra Nevada College,
The Logic and Literature of Lewis Carroll
Lewis Carroll, who is best known for his seminal publication
of the two volumes of "Alice in Wonderland", was a noted Victorian
photographer and an Oxford Mathematics Professor who also published
books on logic and recreational mathematics. This presentation will
discuss some of his work and how he inserted fun and puzzles into
every facet of his life.
PowerPoint
Paul Kinion,
Rochester Tech Community College, MN,
Recreational Exponentiation
Recent work on sampling
distributions for small samples has revealed a fascinating recursive
method for calculating N raised to the nth power where N and n are
Natural numbers. Step one: Pick a number K, any natural number. The
algorithm is surprisingly flexible and straight forward. Bring paper
and pencil.
PowerPoint
John Martin,
Santa Rosa Junior College,
From the Abacus to the iPhone
During
the seventeenth century, several individuals began working on ways
to coax answers to arithmetic problems from metal. This activity
led to the invention of the first mechanical calculators, the
precursors of our modern computers. In this presentation, John will
talk about the history of these machines and the lives of the
mathematicians who invented them.
Tim Melvin,
Santa Rosa Junior College,
The Randomness of the Real Numbers
In this talk, we will explore the ideas of countably infinite
vs. uncountable sets and Turing computable numbers. We will show
the set of all computable numbers is countable using a different
method than Turing did in his seminal paper. We will use this to
get a glimpse of the randomness and complexity of the real numbers.
Walter Kehowski,
Glendale College, AZ,
Phoenix Numbers
Let x be a number in base b. Split x after the kth digit into
yz, and then reverse the digits to obtain ry and rz, still regarded
as numbers in base b. If x=ry*rz then x is called a kPhoenix number
in base b. Many examples will be provided as well as proving the
existence of infinitely many kPhoenix numbers in any base.
Slides in pdf
Michael Serra, N C T M
Pirate Geometry
Participants with see Buried Treasure games and puzzles in
rectangular, polar, spherical, and 3D coordinate systems.
Participants with learn how to incorporate these activities into
their teaching of transformations in the rectangular coordinate
plane. The focus is on reasoning while playing games and solving
puzzles.
PowerPoint Part 1,
PowerPoint Part 2,
PowerPoint Part 3
You can download the printable MiniProgram
here.
You can view the past Tahoe conferences by going to the
past conference link.