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Rediscovering mathematics [[electronic resource] ] : you do the math / / Shai Simonson
| Rediscovering mathematics [[electronic resource] ] : you do the math / / Shai Simonson |
| Autore | Simonson Shai |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 2011 |
| Descrizione fisica | 1 online resource (0 p.) |
| Disciplina | 510 |
| Collana | Classroom resource materials |
| Soggetto topico |
Mathematics - Study and teaching
Problem solving - Study and teaching Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-88385-912-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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? |
| Record Nr. | UNINA-9910465227303321 |
Simonson Shai
|
||
| Washington, D.C., : Mathematical Association of America, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rediscovering mathematics [[electronic resource] ] : you do the math / / Shai Simonson
| Rediscovering mathematics [[electronic resource] ] : you do the math / / Shai Simonson |
| Autore | Simonson Shai |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 2011 |
| Descrizione fisica | 1 online resource (0 p.) |
| Disciplina | 510 |
| Collana | Classroom resource materials |
| Soggetto topico |
Mathematics - Study and teaching
Problem solving - Study and teaching Mathematics |
| ISBN | 0-88385-912-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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? |
| Altri titoli varianti | You do the math |
| Record Nr. | UNINA-9910791748503321 |
|
Simonson Shai
|
||
| Washington, D.C., : Mathematical Association of America, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rediscovering mathematics [[electronic resource] ] : you do the math / / Shai Simonson
| Rediscovering mathematics [[electronic resource] ] : you do the math / / Shai Simonson |
| Autore | Simonson Shai |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 2011 |
| Descrizione fisica | 1 online resource (0 p.) |
| Disciplina | 510 |
| Collana | Classroom resource materials |
| Soggetto topico |
Mathematics - Study and teaching
Problem solving - Study and teaching Mathematics |
| ISBN | 0-88385-912-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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? |
| Altri titoli varianti | You do the math |
| Record Nr. | UNINA-9910808739003321 |
|
Simonson Shai
|
||
| Washington, D.C., : Mathematical Association of America, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||