Rediscovering mathematics [[electronic resource] ] : you do the math / / Shai Simonson

• Autore: Simonson Shai
• Pubblicazione: Washington, D.C., : Mathematical Association of America, 2011
• Descrizione fisica: 1 online resource (0 p.)
• Disciplina: 510
• Soggetto topico: Mathematics - Study and teaching; Problem solving - Study and teaching; Mathematics
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Introduction: How to read mathematics. An example of mathematical writing-the birthday paradox -- Our reader tackles the birthday paradox -- Challenges -- 1. Mathematical discovery in the classroom. A simple lesson -- The math teacher as conductor -- The effective teacher -- Challenges -- 2. Don't reach for your calendar (Yet). A magic trick -- Clever calculations -- Pythagorean triples -- Challenges -- 3. Have another piece of pie, Zeno? A simpler way -- Euclid, proofs, and writing mathematics -- Challenges -- 4. Thinking like a mathematician- Lessons from a medieval rabbi. Rabbi Levi ben Gershon and his sums -- The number of squares and rectangles in a grid -- The triangle puzzle-a model mathematics problem -- Challenges -- 5. What is mathematics good for? Knock hockey -- Basketball -- Rates of growth -- Challenges -- 6. Three averages. Average I. The Arithmetic Average -- Average II. The Harmonic Average -- Average III. The Geometric Average -- Exploring averages -- Challenges -- 7. Algorithms- the unexpected role of pure mathematics. A solution to the two jug puzzle -- Euclid's Algorithm -- Other methods for calculating greatest common divisors -- The efficiency (or speed) of an algorithm -- The Egyptian Mutliplication Algorithm -- The fast Modular Exponential Algorithm -- Greatest Common Divisors, algorithms, and e-commerce -- E-commerce and cryptography -- The rest of the story-the RSA Algorithm -- Challenges -- 8. Pythagoras' theorem and math by pictures. A proof of Pythagoras' Theorem -- A personal experience -- The height of a pyramid -- Challenges -- 9. Memorizing versus understanding. Example 1: FOIL -- Example 2: Square roots -- Example 3: The quadratic equation -- A "real life" quadratic equation -- Challenges -- 10. Games and gambling. A carnival game -- Craps -- The careless casino -- Challenges -- 11. Soccer balls and counting tricks. Euler's Formula -- Platonic solids -- Counting -- The puzzle of the soccer ball -- Challenges -- 12. Pizza Pi and area. Pi and the bible -- The area of a circle -- A hard puzzle involving areas -- Challenges -- 13. Back to the classroom. A classroom experience -- Emphasizing understanding -- What next?
• Sommario/riassunto: Rediscovering mathematics is an eclectic collection of mathematical topics and puzzles aimed at talented youngsters and inquisitive adults who want to expand their view of mathematics.--
• Altri titoli varianti: You do the math
• Titolo autorizzato: Rediscovering mathematics
• ISBN: 0-88385-912-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910791748503321
• Lo trovi qui: Univ. Federico II
• Serie: Classroom resource materials (Unnumbered)