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Description
Problem Solving Through Recreational MathematicsHistorically, many of the most important mathematical concepts arose from problems that were recreational in origin. This book takes advantage of that fact, using recreational mathematics problems, puzzles and games to teach students how to think critically. Encouraging active participation rather than just observation, the book focuses less on mathematical results than on how these results can be applied to thinking about problems and solving them.
Historically, many of the most important mathematical concepts arose from problems that were recreational in origin. This book takes advantage of that fact, using recreational mathematics -- problems, puzzles and games -- to teach students how to think critically. Encouraging active participation rather than just observation, the book focuses less on mathematical results than on how these results can be applied to thinking about problems and solving them.Each chapter contains a diverse array of problems in such areas as logic, number and graph theory, two-player games of strategy, solitaire games and puzzles, and much more. Sample problems (solved in the text) whet readers' appetites and motivate discussions; practice problems solidify their grasp of mathematical ideas; and exercises challenge them, fostering problem-solving ability. Appendixes contain information on basic algebraic techniques and mathematical inductions, and other helpful addenda include hints and solutions, plus answers to selected problems. An extensive appendix on probability is new to this Dover edition. Free solutions manual available for download at the Dover website.
Binding Type: Paperback
Publisher: Dover Publications
Published: 05/27/1999
ISBN: 9780486409177
Pages: 480
Weight: 1.50lbs
Size: 9.18h x 6.50w x 0.92d
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4.1 ★★★★★
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Product Reviews
★★★★★ 4
Good for (non-destructive) small dogs
Color: Red
Bought for a small dog, would not recommend for a destructive chewer. After some initial hesitation this has become her favorite toy and keeps her entertained for a good while. The different settings provide some variety to how she can play with it. The battery only lasts about an hour, but it does charge quickly. As others have noted the string is garbage.
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Reviewed in the United States on June 6, 2026
★★★★★ 5
Cool gadget for you puppy!
Color: Red
Do you need a break sometime? Something that you puppy can play with for 20 or 30 minutes at a time? This is it! It goes around the place in random paths that will keep your puppy entertained and amusedZ. It not to loud and it lasts a long time and nothing has broken off form the rough play at all.
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Reviewed in the United States on June 9, 2026
★★★★★ 5
Great for small dogs with a big prey drive!
Color: Red
He loves it!! I have a small dog with a big prey drive and he goes absolutely crazy for this! A big plus for taking the boredom away, really perking up his mental attitude. It's also (at this moment) much cheaper than others that look very similar. Super easy to charge. My dog is a rescue and never learned to play with toys, has zero interest in stuffed toys and doesn't really understand play, but this isn't play to him: It's what he was born to do. He gives it a hearty Two Paws Up!
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Reviewed in the United States on June 1, 2026
★★★★★ 5
Our Yorkie Puppy Loves This Toy!!!
Color: Red
Warning: your pet may become completely obsessed
I’ve had this toy for about a year for my Yorkshire Terrier, Gia, and it’s easily the most successful toy purchase I’ve ever made. We even had to replace the first one after she loved it a little too much (chewed the string off), and have since bought more as gifts for friends’ pets. Great toy for small dogs (too fragile for bigger dogs) and active, young cats.)
What we love:
* Endless engagement: Gia ignores all her other toys and goes straight for this every time
* Interactive features: Subtle beeping + changing colored lights + unpredictable rolling patterns keep her hooked
* Energy burner: Perfect for indoor play on hardwood floors—she will chase it nonstop
* Rechargeable: Battery lasts several hours, even with frequent use
* Durability: Holds up well considering how rough she plays
Real-life note:
Gia will literally bring this toy to me to get me involved—and I have to limit her playtime because she won’t stop on her own.
Bottom line:
If you have a high-energy dog (or even a playful cat), this isn’t just a toy—it becomes their favorite activity… and possibly their entire personality.
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Reviewed in the United States on April 25, 2026
★★★★★ 3
I wanted it to be a good fit
Color: Red
This toy garnered my dogs attention for a day. We tried it inside but there's too many places it would go under. We tried ot outside and it was powerful enough in the grass so tried concrete patio. My dog lost interest sadly. It wasn't a good product for my dog.
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Reviewed in the United States on June 5, 2026
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