| eBook ISBN: | 978-1-61444-106-9 |
| Product Code: | CLRM/17.E |
| List Price: | $45.00 |
| MAA Member Price: | $33.75 |
| AMS Member Price: | $33.75 |
| eBook ISBN: | 978-1-61444-106-9 |
| Product Code: | CLRM/17.E |
| List Price: | $45.00 |
| MAA Member Price: | $33.75 |
| AMS Member Price: | $33.75 |
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Book DetailsClassroom Resource MaterialsVolume: 17; 2000; 219 ppRecipient of the Mathematical Association of America's Beckenbach Book Prize in 2004!
Solve This irresistibly tempts the reader to embark on a journey of investigation and discovery. All the activities are immediate, catchy and fun, but upon investigation, begin to unfold into surprising layers of depth and new perspectives. The necessary mathematics in increasing levels of sophistication is fully explained along the way, but readers may amend the journey in any way to match their mathematical abilities.
Elementary, middle and high school students, college students and mathematics majors, faculty from all divisions and professional mathematicians, as well as self-described math phobics have all enjoyed these activities and have all attained a sense of satisfaction and accomplishment from them. Mathematics educators will find this an invaluable resource of fresh and innovative approaches to topics in mathematics.
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Table of Contents
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Chapters
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Part I: Activities and Problem Statements
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Chapter 1. Distribution Dilemmas
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Chapter 2. Weird Shapes
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Chapter 3. Counting the Odds…and Evens
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Chapter 4. Dicing, Slicing and Avoiding the Bad Bits
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Chapter 5. “Impossible” Paper Tricks
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Chapter 6. Tiling Challenges
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Chapter 7. Things that Won’t Fall Down
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Chapter 8. Möbius Madness: Tortuous Twists on a Classic Theme
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Chapter 9. The Infamous Bicycle Problem
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Chapter 10. Making Surfaces in 3- and 4-Dimensional Space
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Chapter 11. Paradoxes in Probability Theory
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Chapter 12. Don’t Turn Around Just Once!
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Chapter 13. It’s All in a Square
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Chapter 14. Bagel Math
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Chapter 15. Capturing Chaos
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Chapter 16. Who Has the Advantage?
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Chapter 17. Laundry Math
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Chapter 18. Get Knotted!
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Chapter 19. Tiling and Walking
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Chapter 20. Automata Antics
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Chapter 21. Bubble Trouble
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Chapter 22. Halves and Doubles
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Chapter 23. Playing with Playing Cards
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Chapter 24. Map Mechanics
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Chapter 25. Weird Lotteries
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Chapter 26. Flipped Out
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Chapter 27. Parts that do not Add up to their Whole
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Chapter 28. Making the Sacrifice
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Chapter 29. Problems in Parity
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Chapter 30. Chessboard Maneuvers
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Part II: Hints, Some Solutions and Further Thoughts
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Part III: Solutions and Discussions
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A Note on Unit Fractions
-
A Note on Fractal Dimensions
-
A Note on Minimality Formulae for Slicing and Dicing
-
A Note on Polygonal Wheels
-
A Note on Bicycle Tracks
-
A Note on the Fourth Dimension
-
A Note on Constructing Surfaces
-
A Note on Probability and Measure Theory
-
A Note on Modified Square Maneuvers
-
A Note on Euler’s Equation
-
A Note on Population Models
-
A Note on Computing Probabilities in a Three-Way Duel
-
A Note on Social Choice Theory
-
A Note on Ant Motions
-
A Note on Steiner Problems
-
A Note on the Borsuk-Ulam Theorem
-
A Note on Cutting Shapes in Half
-
A Note on Hall’s Marriage Theorem
-
A Note on Toroidal Maps
-
A Note on $\mathrm {Ave}(S_n)$
-
A Note on Closed Self-Intersecting Curves
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A Note on the Chess King Theorem
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A Note on Rooks in a Three-Dimensional Chessboard
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Reviews
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If you want a book with a bounty of activities that you could use in your mathematics classroom or as part of a mathematics club, try this one. We, as mathematicians, are always looking for ways to stimulate interest in mathematics in others. In particular, if one were to visit a high school mathematics classroom and want to show the students that mathematics can actually be FUN, look to this book for some wonderful ideas.
Herbert E. Kasube, MAA Reviews
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
Solve This irresistibly tempts the reader to embark on a journey of investigation and discovery. All the activities are immediate, catchy and fun, but upon investigation, begin to unfold into surprising layers of depth and new perspectives. The necessary mathematics in increasing levels of sophistication is fully explained along the way, but readers may amend the journey in any way to match their mathematical abilities.
Elementary, middle and high school students, college students and mathematics majors, faculty from all divisions and professional mathematicians, as well as self-described math phobics have all enjoyed these activities and have all attained a sense of satisfaction and accomplishment from them. Mathematics educators will find this an invaluable resource of fresh and innovative approaches to topics in mathematics.
-
Chapters
-
Part I: Activities and Problem Statements
-
Chapter 1. Distribution Dilemmas
-
Chapter 2. Weird Shapes
-
Chapter 3. Counting the Odds…and Evens
-
Chapter 4. Dicing, Slicing and Avoiding the Bad Bits
-
Chapter 5. “Impossible” Paper Tricks
-
Chapter 6. Tiling Challenges
-
Chapter 7. Things that Won’t Fall Down
-
Chapter 8. Möbius Madness: Tortuous Twists on a Classic Theme
-
Chapter 9. The Infamous Bicycle Problem
-
Chapter 10. Making Surfaces in 3- and 4-Dimensional Space
-
Chapter 11. Paradoxes in Probability Theory
-
Chapter 12. Don’t Turn Around Just Once!
-
Chapter 13. It’s All in a Square
-
Chapter 14. Bagel Math
-
Chapter 15. Capturing Chaos
-
Chapter 16. Who Has the Advantage?
-
Chapter 17. Laundry Math
-
Chapter 18. Get Knotted!
-
Chapter 19. Tiling and Walking
-
Chapter 20. Automata Antics
-
Chapter 21. Bubble Trouble
-
Chapter 22. Halves and Doubles
-
Chapter 23. Playing with Playing Cards
-
Chapter 24. Map Mechanics
-
Chapter 25. Weird Lotteries
-
Chapter 26. Flipped Out
-
Chapter 27. Parts that do not Add up to their Whole
-
Chapter 28. Making the Sacrifice
-
Chapter 29. Problems in Parity
-
Chapter 30. Chessboard Maneuvers
-
Part II: Hints, Some Solutions and Further Thoughts
-
Part III: Solutions and Discussions
-
A Note on Unit Fractions
-
A Note on Fractal Dimensions
-
A Note on Minimality Formulae for Slicing and Dicing
-
A Note on Polygonal Wheels
-
A Note on Bicycle Tracks
-
A Note on the Fourth Dimension
-
A Note on Constructing Surfaces
-
A Note on Probability and Measure Theory
-
A Note on Modified Square Maneuvers
-
A Note on Euler’s Equation
-
A Note on Population Models
-
A Note on Computing Probabilities in a Three-Way Duel
-
A Note on Social Choice Theory
-
A Note on Ant Motions
-
A Note on Steiner Problems
-
A Note on the Borsuk-Ulam Theorem
-
A Note on Cutting Shapes in Half
-
A Note on Hall’s Marriage Theorem
-
A Note on Toroidal Maps
-
A Note on $\mathrm {Ave}(S_n)$
-
A Note on Closed Self-Intersecting Curves
-
A Note on the Chess King Theorem
-
A Note on Rooks in a Three-Dimensional Chessboard
-
If you want a book with a bounty of activities that you could use in your mathematics classroom or as part of a mathematics club, try this one. We, as mathematicians, are always looking for ways to stimulate interest in mathematics in others. In particular, if one were to visit a high school mathematics classroom and want to show the students that mathematics can actually be FUN, look to this book for some wonderful ideas.
Herbert E. Kasube, MAA Reviews
