INTRODUCTION LETTER from OLAP

ON YOUR MARK...GET SET...CALCULATE!


Most of this material has been written by SLCC students and students from other nearby colleges for OLAP's Mathematics and Science Day. This is our first attempt at compiling information that is suitable for college, high school, middle school, or junior high students. More or less anyone who wants to understand a little of the mathematics or science of OLAP. Much care has been taken to make all of the exercises as accurate as possible, but there are some inaccuracies. Please forgive our oversights and please make any comments or suggestions on problems so that we may write a better book next time!

Our goal with this program is to make mathematics and science more fun for everyone.

There is a potential for a contest. Each participant group could submit one book on the day of the event. At that time, say 2 p.m., we could have judges determine the best book submitted. Due to the length of the book, the judges may check randomly selected material. The winning group could then be announced by the end of the day.

This book features activities for exercises prior to your visit, during your trip to the park and at the park. We have also left some blank pages for you to create new problems or to take notes about your day.

Below find the list of individuals who wrote and worked on this project and a note from one teacher who guided them!

HAVE FUN!

Loc Al Amuse, Chief Administrator
OLAP, 1234 Many Acre Place
Intown, Euforia 99999, Telephone: 555 1212

Send comments to: OLAP, Mathematics Department
St. Louis Community College at Meramec
11333 Big Bend Blvd
St. Louis, MO 63122-5799


OLAP would like to acknowledge the time and effort that many students put forth for this mathematics and science day book, and extend a sincere thank you to the following people! The authors, editor and technical assistant are:

Dana Anschute, Todd Bennett, Damian Brindle, Bill Bogenhagen, Jonathan Burroughs, around the park Jason Campbell, Amy Chromoga, Christina Conteuo, Jessica R. Copley, Dwayne Crider, Suzanne Crump, Heather Dourron, Ryan Dooley, Deborah Esterman, James Fornango, Robert Gassett, Kim Hoang, Lana Hopkins, Jared Jett, Kevin KaLota, Sean Kitchell, Tim Klable, Catherine Knoebel, Mark Kopp, Dennis Ku, Ken Lazarz, Scott Leisler, Joshua Love, Mary Mawhinney, Susan Morse, Diane Nelson, Chris Parrish, Christina Payne, Lindsay Rockwell, Andriel Rotzler, Brian Saville, Steve Stream, Thong Tarm, Stephanie Werton, Chris Westerbeck, Patrick Zoellner, Bill Thayer, and Dianne Pence




FORWARD TO OLAP's MATHEMATICS AND SCIENCE DAY by P. J.

I am pleased to introduce you to this years mathematics and science day at OLAP. My students have learned a lot of math and science in preparing this material for you. I hope you will enjoy any challenge this book may provide you. In fact, I hope you will send your mathematics and science questions and ideas to OLAP early next fall for next year's book.

Many concepts are provided, but students often worked with the slope concept. Galileo's study of uniformly accelerated motion using a "constant rate of change" of speed certainly changed physics almost four hundred years ago. He found that in free fall or motion down an incline, the vertical position of an object is proportional to the square of the time in motion. His parabola is a quadratic function of time, a second degree polynomial!

Over three hundred years ago Newton found that Galileo's constant acceleration was related to the force of gravity. He devised a calculus approach that unified these slope ideas. The OLAP rides you take celebrate the Galileo polynomial relating distance to the square of time with Newton's insightful constant.

Please attend my juggling show where I perform on stage. I will explore fundamental concepts of math and science that lead you to present day research about our human physiology. Also, I wish to honor a scientist, P. J. Beek and a mathematician by the name of Claude E. Shannon. Scientific American profiled Dr. Shannon in January of 1990 indicating that he is to information theory as Einstein is to physics. Professor Shannon devised an equation that Scientific American called "The Unified Field Theory of Juggling." The number of balls divided by the number of hands equals the sum of flight time and dwell time divided by the sum of empty hand time and dwell time. The dwell time is the time a hand spends holding or carrying the object being juggled. The path of a juggled ball is short and slow enough to neglect air resistance. It is a great example of Galileo's free fall motion. The ball's flight path is a parabola. In Shannon's equation, the flight time is completely described by Galileo's polynomial. Yet Shannon's equation ties the time knot of the physics of motion to the motions of the juggler. Scientist P. J. Beek has begun to unravel the complex human information processing occurring during juggling activities. Beek's research has uncovered interesting characteristics about human juggling motion. His "Learning The Cascade Juggle: A Dynamical Systems Analysis" may help entertain you and perhaps you may learn to juggle at OLAP.

However, OLAP has learned how to juggle you in time and space. On each OLAP ride, your position can be determined by the seconds of time spent. The same equations of motion governing the juggled ball determine your motion down each slope. The constants in the equation may vary slightly but Galileo, Newton, and OLAP are right in there with you. Now it is up to you to help figure out how and how much they do it!

My students are ahead of their time. Many mathematics students are just beginning to do projects from their course material. These students, see above list for some of their names, went beyond the classroom projects into producing projects for you. They have learned a lot more about mathematical concepts such as: area or integration, slope or differentiation, absolute value and inequalities or coordinate positions, mapping or topology, and on and on and on. They hope these questions will be seeds for you and your mathematics and science teachers to grow into a rich and rewarding new OLAP project book for next year.

Some of the enclosed questions and ideas, if completed before you go to OLAP this Mathematics and Science day will increase your ability to do more complex activities. Your ideas sent to OLAP shortly after your trip may help other students learn based on your learning experience. Make it your playground for math and science.

Have lots of fun and we will see you soon!

Yours, P. J.

Send comments to: OLAP, Mathematics Department
St. Louis Community College at Meramec
11333 Big Bend Blvd, St. Louis, MO 63122-5799




NOTES FOR THE LEADER OF AN OLAP TRIP




I. PRE-TRIP PREPARATION

1. You may want to do the doable problems from this collection before the trip. The level of difficulty changes on each question.

2. Other problems depend on estimations and measurements at the park. Guessing answers and upper and/or lower bounds for answers should be encouraged. Sometimes the estimated value is what we are asking for.

3. Your "OLAP GRID MAP" of the park should be marked with important points highlighted. Students should know where to find you or leave a message for you. Students should know where the First Aid station is located. (-670, -20, 576)

4.







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II. ORGANIZATION SUGGESTIONS

1. Assign parties of people to engineering consulting groups of two or three people. Example: Debby's group might be called "DEBCO Consulting Engineers." This way each person has some one to work with or someone to consult for help if the need should arise. You may want to mix levels of problem solvers and ask them to help each other.

2. Arrange times and places during the day for CHECK-IN with you. It is helpful if there is a bulletin board (say at coordinates (0, 0, 570)) where people and leaders can leave messages for one another. If you choose to have people check in, set aside a large block of time so that they are not forced to leave in the middle of a long line. Don't forget to arrange a place and time for groups to work on their contest books.






III. EQUIPMENT FOR THE PARK 1. Stopwatch: wristwatch type is great.

2. Three foot cloth ruler or sewing tape. Centimeters on one side, inches on the other.

3. Calculators (Scientific recommended)

4. Video Tape Recorders and audio tape recorders.

IV. DAY'S SCHEDULE FOR YOUR GROUP

TIMES

PLACE

MATERIALS





Notes about writing projects and reports for your group or leader should be anotated here.






Copyright © 1994 William V. Thayer, All Rights Reserved

Copyright © 1999
with all rights reserved by
William V. Thayer, PedLog

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