5 options
Rediscovering mathematics : you do the math / Shai Simonson.
- Format:
- Book
- Author/Creator:
- Simonson, Shai.
- Series:
- Classroom resource materials (Unnumbered)
- Classroom resource materials
- Language:
- English
- Subjects (All):
- Mathematics--Study and teaching.
- Mathematics.
- Problem solving--Study and teaching.
- Problem solving.
- Mathematics--Problems, exercises, etc.
- Physical Description:
- 1 online resource (0 p.)
- Edition:
- 1st ed.
- Other Title:
- You do the math
- Place of Publication:
- Washington, D.C. : Mathematical Association of America, 2011.
- Language Note:
- English
- Summary:
- 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.-- P. [4] of Cover.
- Contents:
- 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
- 2. Don't reach for your calendar (Yet). A magic trick
- Clever calculations
- Pythagorean triples
- 3. Have another piece of pie, Zeno? A simpler way
- Euclid, proofs, and writing mathematics
- 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
- 5. What is mathematics good for? Knock hockey
- Basketball
- Rates of growth
- 6. Three averages. Average I. The Arithmetic Average
- Average II. The Harmonic Average
- Average III. The Geometric Average
- Exploring averages
- 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
- 8. Pythagoras' theorem and math by pictures. A proof of Pythagoras' Theorem
- A personal experience
- The height of a pyramid
- 9. Memorizing versus understanding. Example 1: FOIL
- Example 2: Square roots
- Example 3: The quadratic equation
- A "real life" quadratic equation
- 10. Games and gambling. A carnival game
- Craps
- The careless casino
- 11. Soccer balls and counting tricks. Euler's Formula
- Platonic solids
- Counting
- The puzzle of the soccer ball
- 12. Pizza Pi and area. Pi and the bible
- The area of a circle
- A hard puzzle involving areas
- 13. Back to the classroom. A classroom experience
- Emphasizing understanding
- What next?
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- Description based on print version record.
- ISBN:
- 0-88385-912-2
- OCLC:
- 939263606
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.