Kit in box includes booklet, CD-ROM (Interactive Explorations), 3-D glasses, puzzles and more. UNI: Library lacks kit. Includes index.
Contents:
7.7. Navigating Through a Sea of Data: How interpreting data reveals surprising and unintended results. 1.1. Silly Stories All Having a Moral: Conundrums that evoke techniques of effective thinking -- 1.2. Nudges: Leading questions and hints for resolving the stories -- 1.3. Punch Lines: Solutions and further commentary -- 1.4. From Play to Power: Discovering strategies of thought for life -- Ch. 2. Number Contemplation -- 2.1. Counting: How the Pigeonhole principle leads to precision through estimation -- 2.2. Numerical Patterns in Nature: Discovering nature's beauty and the Fibonacci numbers -- 2.3. Prime Cuts of Numbers: How the prime numbers are the building blocks of all natural numbers -- 2.4. Crazy Clocks and Checking Out Bars: Checking bar codes on products with cyclical clock arithmetic -- 2.5. Secret Codes and How to Become a Spy: How modular arithmetic and primes lead to secret public codes -- 2.6. Irrational Side of Numbers: Are there numbers beyond fractions? -- 2.7. Get Real: The point of decimals and pinpointing numbers on the real line -- Ch. 3. Infinity -- 3.1. Beyond Numbers: What does infinity mean? -- 3.2. Comparing the Infinite: Pairing up collections via a one-to-one correspondence -- 3.3. Missing Member: Georg Cantor answers: Are some infinities larger than others? -- 3.4. Travels Toward the Stratosphere of Infinities: The power set and the question of an infinite galaxy of infinities -- 3.5. Straightening Up the Circle: Exploring the infinite within geometrical objects -- Ch. 4. Geometric Gems -- 4.1. Pythagoras and His Hypotenuse: How a puzzle leads to the proof of one of the gems of mathematics -- 4.2. View of an Art Gallery: Using computational geometry to place security cameras in museums -- 4.3. Sexiest Rectangle: Finding aesthetics in life, art, and math through the Golden Rectangle -- 4.4. Soothing Symmetry and Spinning Pinwheels: Can the floor be tiled without any repeating pattern? -- 4.5. Platonic Solids Turn Amorous: Discovering the symmetry and interconnections among the Platonic Solids -- 4.6. Shape of Reality?: How straight lines can bend in non-Euclidean geometries -- 4.7. Fourth Dimension: Can you see it? -- Ch. 5. Contortions of Space -- 5.1. Rubber Sheet Geometry: Discovering the topological idea of equivalence by distortion -- 5.2. Band That Wouldn't Stop Playing: Experimenting with the Mobius Band and Klein Bottle -- 5.3. Feeling Edgy?: Exploring relationships among vertices, edges, and faces -- 5.4. Knots and Links: Untangling ropes and rings -- 5.5. Fixed Points, Hot Loops, and Rainy Days: How the certainty of fixed points implies certain weather phenomena -- Ch. 6. Chaos and Fractals -- 6.1. Images: Viewing a gallery of fractals -- 6.2. Dynamics of Change: Can change be modeled by repeated applications of simple processes? -- 6.3. Infinitely Detailed Beauty of Fractals: How to create works of infinite intricacy through repeated processes -- 6.4. Mysterious Art of Imaginary Fractals: Creating Julia and Mandelbrot Sets by stepping out in the complex plane -- 6.5. Predetermined Chaos: How repeated simple processes result in utter chaos -- 6.6. Between Dimensions: Can the dimensions of fractals fall through the cracks? -- Ch. 7. Risky Business -- 7.1. Chance Surprises: Some scenarios involving chance that confound our intuition -- 7.2. Predicting the Future in an Uncertain World: How to measure uncertainty through the idea of probability -- 7.3. Random Thoughts: Are coincidences as truly amazing as they first appear? -- 7.4. Down for the Count: Systematically counting all possible outcomes -- 7.5. Great Expectations: Weighing the unknown future through the notion of expected value -- 7.6. What the Average American Has: Peering into the pitfalls of statistics -- 7.7. Navigating Through a Sea of Data: How interpreting data reveals surprising and unintended results.
This resource is supported by the Institute of Museum and Library Services under the provisions of the Library Services and Technology Act as administered by State Library of Iowa.