eBook ISBN:  9781614441069 
Product Code:  CLRM/17.E 
List Price:  $45.00 
MAA Member Price:  $33.75 
AMS Member Price:  $33.75 
eBook ISBN:  9781614441069 
Product Code:  CLRM/17.E 
List Price:  $45.00 
MAA Member Price:  $33.75 
AMS Member Price:  $33.75 

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 selfdescribed 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.

Table of Contents

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 4Dimensional 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 ThreeWay Duel

A Note on Social Choice Theory

A Note on Ant Motions

A Note on Steiner Problems

A Note on the BorsukUlam 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 SelfIntersecting Curves

A Note on the Chess King Theorem

A Note on Rooks in a ThreeDimensional Chessboard


Reviews

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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 Book Details
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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 selfdescribed 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 4Dimensional 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 ThreeWay Duel

A Note on Social Choice Theory

A Note on Ant Motions

A Note on Steiner Problems

A Note on the BorsukUlam 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 SelfIntersecting Curves

A Note on the Chess King Theorem

A Note on Rooks in a ThreeDimensional 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