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Sculpting sand is fun for kids of all ages — especially because the magical, mess-free material is easy to handle and can be used over and over again. This book features guidelines for using sculpting sand to create cute little creatures, including a crab, lizard, caterpillar, and monkey. Author Terry Taylor provides simple instructions and lots of colorful pictures for more than 18 projects, as well as plenty of helpful tips, including suggestions for tools and techniques. Projects with one star are the easiest and ideal for beginners. Two-star projects are a little more complex, and the ones with three stars are the most advanced. Kids can build their sculpting expertise with simpler figures such as the clown, octopus, and butterfly and then move on to the frog, dragon, and peacock. Meanwhile, they'll develop skills that will help them express their personal creativity.
Colorful geometrical pentagors, composed of pentagons and triangles and dissected into pieces: Can you put the shapes together again to form a whole? A classic paradox about the nature of motion from a famous Greek mathematician: Can you see what’s wrong with it? Put on your thinking cap and prepare to give your math and logic abilities a workout, because these super-looking puzzles demand real brainpower. Solve a graphic problem that involves the calculation of a square root. Examine six linear processions of egg-carrying ants, and figure out which lines are “surprising” and which ones aren’t. Go step by step through a multihued grid and try to find 32 different configurations within. These puzzles are challenging, entertaining, and satisfying to unravel.
Jumping Coins, Cubes and Routes, Find the Polygons, and Distortrix: these are just a few of the incredible brain-twisting conundrums in this colorful, super-fun compilation by puzzle whiz Ivan Moscovich. Sample games give a hint of what's to come and prime your mind for the challenges you'll face. Inside a hexagon, a continuous path connects 19 different nodes: find that trail, navigating a series of pointing arrows and visiting each node only once. On the Rebound features tricky little problems involving a pool ball on a table and the best way to shoot it. A Piece of Cake is no piece of cake: arrange the segments so that no two colored or numbered ones touch another of the same color or number. You'll think your brain really is twisted once you solve all of these.
For courses in Secondary Mathematics Methods. Teaching Secondary Mathematics: Techniques and Enrichment Units, 7th edition has been thoroughly revised to discuss current methods of teaching mathematics, considering all aspects and responsibilities of the job, beginning with a brief overview of the history of mathematics education and how it has evolved over time to include standards for teaching and assessment. The authors address how to craft rich and effective daily lesson plans, and how to use a variety of instructional tools and strategies to reach all students in a classroom. Problem solving is a key focus from its instructional underpinnings to its recreational and motivational aspects. The second part of the text provides mathematics teachers with a collection of enrichment units appropriate for the entire secondary school curriculum spectrum.
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About the original 1000 PlayThinks,Will Shortz of The New York Times said it best: “The most wide-ranging, visually appealing, entertaining, gigantic collection of brainteasers since Sam Loyd’s Cyclopedia of Puzzles almost a century ago.” Inside The Big Book of Brain Games, you will find an obsessive collection of 1,000 challenges, puzzles, riddles, illusions—originals as well as must-do classics—it’s like salted peanuts for the brain. With jampacked pages and a full-color illustration for each entry, the book, opened anywhere, is a call to action. (And it’s guaranteed to make you smarter.) Twelve basic categories include Geometry, Patterns, Numbers, Logic and Probability, and Perception. An easy-to-read key at the top of each game ranks its difficulty on a scale of 1 to 10, while indices in the back cross-reference the puzzles. (You’ll find the answers back there, too.)
Resource for inservice and pre-service mathematics teachers. The text discusses methods of teaching the subject and provides a collection of enrichment units to enhance the curriculum.
A newly updated edition of this classic, hugely influential account of how the Romans defended their vast empire. At the height of its power, the Roman Empire encompassed the entire Mediterranean basin, extending much beyond it from Britain to Mesopotamia, from the Rhine to the Black Sea. Rome prospered for centuries while successfully resisting attack, fending off everything from overnight robbery raids to full-scale invasion attempts by entire nations on the move. How were troops able to defend the Empire’s vast territories from constant attacks? And how did they do so at such moderate cost that their treasury could pay for an immensity of highways, aqueducts, amphitheaters, city baths, and magnificent temples? In The Grand Strategy of the Roman Empire, seasoned defense analyst Edward N. Luttwak reveals how the Romans were able to combine military strength, diplomacy, and fortifications to effectively respond to changing threats. Rome’s secret was not ceaseless fighting, but comprehensive strategies that unified force, diplomacy, and an immense infrastructure of roads, forts, walls, and barriers. Initially relying on client states to buffer attacks, Rome moved to a permanent frontier defense around 117 CE. Finally, as barbarians began to penetrate the empire, Rome filed large armies in a strategy of “defense-in-depth,” allowing invaders to pierce Rome’s borders. This updated edition has been extensively revised to incorporate recent scholarship and archeological findings. A new preface explores Roman imperial statecraft. This illuminating book remains essential to both ancient historians and students of modern strategy.