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E-grāmata: Teaching Mathematics Through Games

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  • Formāts: 160 pages
  • Sērija : Classroom Resource Materials
  • Izdošanas datums: 05-Apr-2021
  • Izdevniecība: American Mathematical Society
  • ISBN-13: 9781470465391
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Teaching Mathematics Through GamesPalielināt
  • Formāts: 160 pages
  • Sērija : Classroom Resource Materials
  • Izdošanas datums: 05-Apr-2021
  • Izdevniecība: American Mathematical Society
  • ISBN-13: 9781470465391
Citas grāmatas par šo tēmu:

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Active engagement is the key to learning. You want your students doing something that stimulates them to ask questions and creates a need to know. Teaching Mathematics Through Games presents a variety of classroom-tested exercises and activities that provoke the active learning and curiosity that you hope to promote. These games run the gamut from well-known favorites like SET and Settlers of Catan to original games involving simulating structural inequality in New York or playing Battleship with functions.

The book contains activities suitable for a wide variety of college mathematics courses, including general education courses, math for elementary education, probability, calculus, linear algebra, history of math, and proof-based mathematics. Some chapter activities are short term, such as a drop-in lesson for a day, and some are longer, including semester-long projects. All have been tested, refined, and include extensive implementation notes.
Preface ix
How to Use this Book xi
1 Tic-Tac-Whoa! 1(6)
Axel Brandt
1.1 Background
1(1)
1.2 Implementation
2(4)
1.3 Conclusion
6(1)
References
6(1)
2 Using Micro Robots to Develop Mathematical Thinking 7(8)
Adam Glesser
Matt Rathbun
2.1 Background
7(1)
2.2 Game description
8(2)
2.3 Implementation
10(3)
2.4 Conclusion
13(1)
References
14(1)
3 Game Changers: Building Quantitative Literacy by Simulating Structural Inequality 15(10)
Vivian Y. Lim
3.1 Background
16(1)
3.2 Game description and implementation
17(5)
3.3 Conclusion
22(1)
References
23(2)
4 Teaching Probability Using Dice and Risk® 25(8)
Amanda Harsy
Karen Holmes
Scott Kaschner
Marie Meyer
4.1 Background
26(1)
4.2 Game description
26(1)
4.3 Implementation
27(3)
4.4 Conclusion
30(1)
References
31(2)
5 Counting Your Winnings at the Casino 33(12)
Amanda Harsy
Karen Holmes
Scott Kaschner
Marie Meyer
5.1 Background
34(1)
5.2 Game description: Roulette
34(4)
5.3 Game description: Keno
38(3)
5.4 Conclusion
41(1)
Appendix
42(2)
References
44(1)
6 Probability Problems from the Arkham Horror Card Game 45(12)
Aaron Montgomery
6.1 Introduction
45(1)
6.2 Background
45(1)
6.3 Game description and implementation
46(9)
6.4 Conclusion
55(1)
References
55(2)
7 Risk It All or Play It Safe? Exploring Probability Through Farkle 57(6)
Jeremiah Bartz
7.1 Background
57(1)
7.2 Game description and implementation
58(4)
7.3 Conclusion
62(1)
References
62(1)
8 Function Battleship 63(6)
Jacob Heidenreich
8.1 Background
63(1)
8.2 Game description and implementation
64(3)
8.3 Conclusion
67(1)
References
68(1)
9 Numeration Systems Sudoku 69(12)
Christine Latulippe
9.1 Background
69(1)
9.2 Game description
70(2)
9.3 Implementation
72(1)
9.4 Conclusion
73(1)
Appendices
74(5)
References
79(2)
10 Set Theory Games with Apples to Apples Cards 81(6)
Michael Martinez
10.1 Introduction
81(1)
10.2 Implementation
82(1)
10.3 Game descriptions
83(2)
10.4 Further options
85(1)
References
86(1)
11 Learning Graph Theory by Designing Games 87(10)
Feryal Alayont
David Clark
11.1 Background
87(1)
11.2 Game design project
88(3)
11.3 Game examples
91(2)
11.4 Tips for beginners
93(1)
11.5 Conclusion
94(1)
References
95(2)
12 From Puzzles to Proof-writing: Exploring Rich Mathematical Ideas Through Mechanical Puzzles 97(16)
Tara Davis
Lauren Grimley
Kenan Ince
Gizem Karaali
Boyan Kostadinov
Roberto Soto
12.1 Background
98(1)
12.2 Game description: Peg solitaire
99(3)
12.3 Game description: Lights out
102(8)
12.4 Conclusion
110(1)
12.5 Acknowledgments
111(1)
References
111(2)
13 Mathematical Communication Games: Telestrations in the Mathematics Classroom 113(12)
Kayla Blyman
Marie Meyer
13.1 Background
114(1)
13.2 Game description
115(5)
13.3 Implementation
120(2)
13.4 Additional considerations
122(1)
13.5 Conclusion
123(2)
14 Game, SET, Algebra! 125(12)
Timothy Goldberg
14.1 Background
126(1)
14.2 Game description
126(1)
14.3 Implementation
127(7)
14.4 Conclusion
134(1)
References
134(3)
15 Off to a Good Start: Using Mathematics to Evaluate Settlement Locations in Catan 137(8)
Jathan Austin
Brian G. Kronenthal
Susanna Molitoris Miller
15.1 Background
137(1)
15.2 Game description
138(1)
15.3 Implementation
139(4)
15.4 Conclusion
143(1)
References
143(2)
16 Bandits on a Wall 145(8)
Michael P. Allocca
Jennifer Franko Vasquez
16.1 Background
145(1)
16.2 Game description and implementation
146(4)
16.3 Conclusion
150(1)
References
151(2)
17 Get in the Sonne: Using Carcassonne to Explore Mathematics 153
Mindy Capaldi
Timothy DeRolf
17.1 Background
153(1)
17.2 Game description
154(1)
17.3 Implementation
154(4)
17.4 Conclusion
158(1)
Acknowledgments
159(1)
References
159
Mindy Capaldi, Valparaiso University, IN.
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