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El. knyga: Introductory Mathematics and Statistics through Sports: Supplementary Activities and Writing Projects

(Bloomsburg University, Associate Professor), (Georgia Southern University, Associate Professor)
  • Formatas: 144 pages
  • Išleidimo metai: 11-Jun-2019
  • Leidėjas: Oxford University Press
  • Kalba: eng
  • ISBN-13: 9780192572660
  • Formatas: 144 pages
  • Išleidimo metai: 11-Jun-2019
  • Leidėjas: Oxford University Press
  • Kalba: eng
  • ISBN-13: 9780192572660

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Sport is a wildly popular and accessible pastime that most students find interest in. The link between mathematics and sports - particularly between statistics and sports - is well known, but is rarely used as a method for sparking a real interest and better understanding of mathematics at university level.

Introductory Mathematics and Statistics through Sports develops this connection, and uses sport as a tool to help students get to grips with mathematics and statistics. It contains valuable resources, such as activities and writing projects for use in quantitative reasoning or introductory statistics classrooms. These inquiry-based activities and open-ended writing projects are all set in the authentic framework of a sporting environment and are designed to promote critical thinking and mathematical application skills that students can apply outside of the classroom. All activities and projects have been classroom-tested and are ready to be implemented as they are, or can be easily personalized by instructors with a helpful run-down of successes and misunderstandings for each project.

Introductory Mathematics and Statistics through Sports places great emphasis on the communication, application, and internalization of mathematics for students whose primary interests are not necessarily in STEM fields.
1 Introduction
1(6)
1.1 Structure
1(1)
1.2 Implementation
2(1)
1.3 Sample Rubrics and Grading
3(2)
1.3.1 Dr. Brown
3(1)
1.3.2 Dr. Kahn
4(1)
1.4 In Summary
5(2)
2 Graph Theory
7(14)
2.1 Mathematics
7(1)
2.2 Sports
8(1)
2.3 Activities
8(9)
2.3.1 Tour de France City Tour
8(3)
2.3.2 Tour de France Inspection
11(1)
2.3.3 Ski Resort Search
11(2)
2.3.4 Euler's Ski Trip
13(2)
2.3.5 Olympic Scheduling
15(2)
2.4 Projects
17(4)
2.4.1 C. Froome
17(1)
2.4.2 I.X. Ploor
18(1)
2.4.3 C.A. Guzman
19(2)
3 Voting Theory
21(12)
3.1 Mathematics
21(1)
3.2 Sports
21(2)
3.3 Activities
23(6)
3.3.1 2009 MLB Cy Young Award
23(1)
3.3.2 NBA Most Valuable Player Award
24(1)
3.3.3 Olympic Host City Decision Procedure
25(2)
3.3.4 College Football Preseason Rankings
27(1)
3.3.5 College Football In-Season Rankings
28(1)
3.4 Projects
29(4)
3.4.1 E. R. Axle
29(1)
3.4.2 H. Holmes
30(1)
3.4.3 L. Bird
31(2)
4 Fair Division and Apportionment
33(10)
4.1 Mathematics
33(1)
4.2 Sports
33(1)
4.3 Activities
34(6)
4.3.1 FIFA World Cup Host Countries
34(2)
4.3.2 World Cup Advertising
36(1)
4.3.3 Playing Time
37(1)
4.3.4 Fantasy Free-Agents
38(1)
4.3.5 College Football Recruiting
39(1)
4.4 Projects
40(3)
4.4.1 Connor Tist
40(1)
4.4.2 D. Roepkik
41(1)
4.4.3 R. Goodell
42(1)
5 Financial Mathematics
43(12)
5.1 Mathematics
43(1)
5.2 Sports
44(1)
5.3 Activities
44(7)
5.3.1 Olympic Host Costs
44(2)
5.3.2 Olympic Attendance Cost
46(1)
5.3.3 Home Mortgage Rates
47(1)
5.3.4 Playoff Bonus Pool 2011 vs. 2016
48(1)
5.3.5 Maximum Contract 2016
49(2)
5.4 Projects
51(4)
5.4.1 Randon I. Grant
51(1)
5.4.2 Lucille Duck
52(1)
5.4.3 Mone Y. Banks
53(2)
6 Data
55(12)
6.1 Mathematics
55(1)
6.2 Sports
56(1)
6.3 Activities
57(7)
6.3.1 Men's Boston Marathon
57(1)
6.3.2 Woman's Olympic 1500 Meter Race
58(2)
6.3.3 2013 Red Sox Hitting
60(1)
6.3.4 Masters Tournament Champions
61(2)
6.3.5 2014 Masters Tournament Scoring
63(1)
6.4 Projects
64(3)
6.4.1 S. Peter
64(1)
6.4.2 R.B. Insley
65(1)
6.4.3 Ray Ling
66(1)
7 Statistical Reasoning
67(10)
7.1 Mathematics
67(1)
7.2 Sports
67(1)
7.3 Activities
68(6)
7.3.1 MLB Complete Games in 2013
68(2)
7.3.2 Number of Games in a Match at Wimbledon
70(1)
7.3.3 Unforced Errors in Tennis
71(1)
7.3.4 Swimming 4 × 200 Relays in the Olympics
72(1)
7.3.5 Swimming World Records
73(1)
7.4 Projects
74(3)
7.4.1 C. Evert
74(1)
7.4.2 C. Maddux
74(1)
7.4.3 Chief M. Brody
75(2)
8 Probability
77(12)
8.1 Mathematics
77(1)
8.2 Sports
77(1)
8.3 Activities
78(6)
8.3.1 Most Popular Sports
78(1)
8.3.2 Stadium Size
79(2)
8.3.3 NFL County Paradox
81(1)
8.3.4 Kentucky Derby
81(1)
8.3.5 Best Fantasy Wide Receiver
82(2)
8.4 Projects
84(5)
8.4.1 B. Oaks
84(1)
8.4.2 Jock Jones
85(1)
8.4.3 A Football Mom
86(3)
Data Sets 89(22)
Glossary 111(4)
Author Biographies 115(2)
Index by Mathematics 117(2)
Index by Sport 119
Tricia Muldoon Brown is an Associate Professor at Georgia Southern University. Her research interests include studying the connections between commutative algebra, combinatorics, and simplicial topology, enumerative combinatorics, and recreational mathematics. With her collaborators, she has published pure mathematics articles in numerous journals, and is actively involved in her teaching. She was a 2009 Project NExT fellow, a 2015 Georgia Governor's Teaching Fellow, and was awarded a 2016 Affordable Learning Georgia Textbook Transformation Grant to adapt an open-source introductory mathematics textbook on her campus.

Eric joined the faculty at Bloomsburg University in 2009 as an Assistant Professor of Mathematics and earned tenure and promotion to Associate Professor in the spring of 2014. He received his B.A. in mathematics from Kenyon College in 2004 and his M.A. and Ph.D. degrees in mathematics from the University of Kentucky in 2006 and 2009 respectively. He is an active member of the Mathematical Association of America, was a Project NExT fellow in the 2009 cohort, was elected to serve a two-year term starting in 2017 as Program Coordinator for the SIGMAA on Inquiry Based Learning, and has co-coordinated or coordinated the student paper competition of his local MAA section, EPaDel since 2010.