National Council of Teachers of Mathematics | 2005 | 171 páginas (incompleto)| rar - pdf | 944 kb
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Explore number and operations embedded in physical objects and show how simple problems can lead to sophisticated considerations. Students examine the usefulness of irrational numbers in designing musical scales and discover powerful ideas from graph theory in a concrete context of dikes, towers, and enclosed regions.
Conteúdos:
Table of Contents
ABOUT THIS BOOK
INTRODUCTION
CHAPTER 1
The Real Numbers (falta)
When Fractions Are Whole (falta)
Designing a Line
Trigonometric Target Practice
CHAPTER 2
Number Theory and Algebra
Counting Primes
Complex Numbers and Matrices
Solve That Number
CHAPTER 3
Number and Operations in the World
Frequency, Scales, and Guitars
Rock Around the Clock
CHAPTER 4
Extending Number and Operation Activities (falta)
Number Triangles (falta)
Perfect Squares (falta)
Flooding a Water World (falta)
LOOKING BACK AND LOOKING AHEAD (falta)
APPENDIX
Blackline Masters and Solutions (falta)
When Fractions Are Whole
Designing a Line
Trigonometric Target Practice (falta)
Counting Primes
Adding Complex Numbers
Multiplying Complex Numbers
Solving Real Numbers
Solving Complex Numbers
Frequency, Scales, and Guitars
Like Clockwork
Encryption à la Mod
Ciphering in Mod 31
Make a Code / Break a Code
Probing the Pattern (falta)
It All Adds Up (falta)
Take a Trip around a Triangle (falta)
Fair and Square (falta)
Last-Digit Revelations (falta)
The Singles Club (falta)
Keeping It Legal (falta)
Other Realms, Other Regions (falta)
Solutions for the Blackline Masters (falta)
REFERENCES (falta)
Readings from Publications of the National Council of Teachers of Mathematics (faltam)
- From Exploration to Generalization: An Introduction to Necessary and Sufficient Conditions
Martin V. Bonsangue. and Gerald E. Gannon
Mathematics Teacher, May 2003, Volume 96, Issue 5
- So That's Why 22/7 Is Used for pi?!
Maurice J. Burke and Diana L. Taggart
Mathematics Teacher, March 2002, Volume 95, Issue 3
- Star Numbers and Constellations
Richard L. Francis
Mathematics Teacher, January 1993, Volume 86, Issue 1
- Calculator Cryptography (online)
Matthew Hall
Mathematics Teacher, Mar 2003, Volume 96, Issue 3
- Roots in Music
Don Houser
Mathematics Teacher, January 2002, Volume 95, Issue 1
- Recursion and the Central Polygonal Numbers
William A. Miller
Mathematics Teacher, Dec 1991, Volume 84, Issue 9
- Counting Pizzas: A Discovery Lesson Using Combinatorics
Gail Nord, Eric J. Malm, and John Nord
Mathematics Teacher, January 2002, Volume 95, Issue 1
- An Odd Sum
Ray C. Shiflett and Harris S. Shultz
Mathematics Teacher, March 2002, Volume 95, Issue 3
- Exploring Hill Ciphers with Graphing Calculators
Dennis St. John
Mathematics Teacher, Mar 1998, Volume 91, Issue 3
