PBIS 187 Sports Mathematics

Fall 2006

Section 001 8:00 to 9:00 M W F

Instructor: Dr. Chris Edwards                       Phone: 424-1358 or 948-3969                   Office: Swart 123               Classroom: Swart 240

Required Calculator: TI-83, TI-83 Plus (or TI-84 Plus), by Texas Instruments.  Other TI graphics calculators (like the TI-86) do not have the same statistics routines we will be using and may cause you troubles.

Catalog Description:  In this course students will develop their problem solving, critical thinking, communications and quantitative skills by exploring a mathematical topic in a problem solving setting.  The topic will vary depending on instructor.  Students are expected to participate actively in their own learning through class discussions, presentations and group activities and will identify attitudes and beliefs that are conducive to success in problem solving and critical thinking.  Students should consult their advisor or the Mathematics Department to determine the topics of individual sections.  Successful completion of this course will fulfill the Problem-Based Inquiry Seminar requirement.  Prerequisites:  Math 100 with a C or better or Placement.

Course Objectives:  (Click here for full document.)  This course focuses on critical thinking and active learning.  Students will engage in problem solving and will come to understand that a ìproblemî is a situation that is unfamiliar and one for which a solution is not immediately evident.  Being stuck is natural and is an essential part of the problem solving process.  

PBIS courses offer the opportunity to develop the ability to distinguish problem solving and critical thinking from exercises and routine thinking and to identify attitudes and beliefs that are conducive to success in challenging situations (and those which are not).  The intent is to provide a strong intellectual experience that will enhance the university experience and form a solid base for life-long learning. 

Specifically students will 

ï collect data, observe patterns, make and verify conjectures

ï improve their ability to reason logically

ï develop effective written and oral communication skills

ï improve skills related to critical thinking, problem solving and creativity

ï use and understand symbol systems and quantitative methods

ï understand principles of mathematics and the sciences.

Grading: Final grades are based on 300 points:

 

Topic

Points

Tentative Date

Quiz 1

Basic Statistics and Displays

25 pts.

September 22

Quiz 2

Simulation

25 pts.

October 6

Quiz 3

Scheduling and Tournaments

25 pts.

October 27

Quiz 4

Statistical Inference

25 pts.

November 10

Quiz 5

Regression and Modeling

25 pts.

December 1

Quiz 6

Sports Physics

25 pts.

December 15

Group Presentations

25 Points Each

75 pts.

Approx. Monthly

Projects

25 Points Each

75 pts.

Approx. Monthly

Attendance is a very important component of success in my class because many of the skills and lessons we will learn will be a direct result of classroom activities that cannot be reproduced easily. Thus, final grades are based on attendance as well as total points earned. Minimum scores for each grade and attendance level are as follows:

Absences =>

Grade:

0 to 3

4 to 6

7 to 9

10 to 12

13 or more

A

270 (90 %)

285 (95 %)

 

 

 

AB

255 (85 %)

270 (90 %)

285 (95 %)

 

 

B

240 (80 %)

255 (85 %)

270 (90 %)

285 (95 %)

 

BC

225 (75 %)

240 (80 %)

255 (85 %)

270 (90 %)

285 (95 %)

C

210 (70 %)

225 (75 %)

240 (80 %)

255 (85 %)

270 (90 %)

D

180 (60 %)

195 (65 %)

210 (70 %)

225 (75 %)

240 (80 %)

Office Hours: Office hours are times when I will be in my office to help you.  There are many other times when I am in my office.  If I am in and not busy, I will be happy to help.  My office hours for Fall 2006 semester are 1:50 to 2:50 Monday, Tuesday, Wednesday, and Friday, or by appointment.

Presentations:  There will be three presentations, each worth 25 points.  The descriptions of the presentations are on the Days187 file.  I will assign you to your groups for these presentations randomly, but I want to avoid you having the same members each time.  I expect each person in a group to contribute to the work; you can allocate the work in any way you like.  If a group member is not contributing, see me as soon as possible so I can make a decision about what to do.  The topics are:  1-Displays (September 20).  2-Scheduling/tournament? (October 25).  3-Optimal angle for a HR (December 13).

Projects:  There will be three projects, each worth 25 points.  The descriptions of the presentations are on the Days187 file.  Unlike presentations, you will each work on your own projects.  Of course I cannot stop you from consulting each other, but I want you each to have your own write-up and specific examples.  However, the rigor and length should be similar in nature to the presentations.  I will be grading on both the mathematical content and the English/grammar.  After all, how effective can you be if you are unable to communicate your ideas.  The topics are:  1 - Analyze a game that uses probability (due October 13).  2 - Schedule a mock league (due November 3).  3 - Develop an alternate triathlon scoring (due December 8).

Philosophy:  I strongly believe that you, the student, are the only person who can make yourself learn.  Therefore, whenever it is appropriate, I expect you to "discover" the mathematics we will be exploring.  I do not feel that "lecturing" to you will teach you how to do mathematics.  I hope to be your "guide" while we learn some mathematics, but you will need to do the learning.

My idea of teaching / learning is not "Teaching is telling and learning is listening".  I believe that you must be active in the learning process to learn well.  My job as a teacher, therefore, is not to "tell" you the answers to the problems we will encounter; rather it is to point you in a direction that will allow you to see the solutions yourselves.  To accomplish that goal, I will work to find different interactive activities for us to work on.  Your job is to use me, to use books, to use your friends, and any other resources.  Keep in mind that the goal is to learn mathematics, not to pass the quizzes.  (Incidentally, if you have truly learned the material, the quiz results will take care of themselves.)

Monday

Wednesday

Friday

September 4
NO CLASS

September 6 Day 1
Introduction

September 8 Day 2
Graphical Summaries
Home Runs Comparison

September 11 Day 3
Cumulative Progress
Pennant Races, Running, Bowling

September 13 Day 4
Scatterplots
Basketball Scores

September 15 Day 5
Contingency Tables
Platooning

September 18 Day 6
Chi Squared Tests
W/L H/A Records

September 20 Day 7
Presentation 1
/Review

September 22 Day 8
Quiz 1

September 25 Day 9
Randomness
BA's

September 27 Day 10
Trees
Yahtzee

September 29 Day 11
Probability Rules
Poker

October 2 Day 12
Simulation
SH's, 2 Pt. Conv.

October 4 Day 13
Markov Chains
?

October 6 Day 14
Quiz 2

October 9 Day 15
Tournament Types
KOTH, RR, SE

October 11 Day 16
Tournament Seeding
NCAA

October 13 Day 17
Project 1 Due
Tournament Theorems
Simulations

October 16 Day 18
Scheduling
NFL

October 18 Day 19
Graph Theory
Traveling Salesman

October 20 Day 20
Scheduling
Baseball

October 23 Day 21
?

October 25 Day 22
Presentation 2
/Review

October 27 Day 23
Quiz 3

October 30 Day 24
CI's
m&m's

November 1 Day 25
CI examples
BA's, WP

November 3 Day 26
Project 2 Due

Tests
Courtroom/Errors

November 6 Day 27
Test Examples
Player Comparisons

November 8 Day 28
?

November 10 Day 29
Quiz 4

November 13 Day 30
Correlation/Regression
Olympic Races

November 15 Day 31
Simple Linear Regression
Outliers

November 17 Day 32
Multiple Regression
QB Rating

November 20 Day 33
Regression Example
Decathlon

November 22
NO CLASS

November 24
NO CLASS

November 27 Day 34
Regression Example
Basketball Salaries

November 29 Day 35
Regression Example
MLB attendance

December 1 Day 36

Quiz 5

December 4 Day 37
Ballistics
Parabolas

December 6 Day 38
Physics of Baseball
Adair's book

December 8 Day 39
Project 3 Due
Physics of Football
Gay's book

December 11 Day 40
?

December 13 Day 41
Presentation 3
/Review

December 15 Day 42
Quiz 6

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Managed by: Chris Edwards
edwards at uwosh dot edu
Last updated August 15, 2006