Dedication
Acknowledgments
Prologue: Why Math? A Historical Overview
Chapter 1 The Nature Of Problem Solving
Chapter 1 1. Problem Solving
Chapter 1 2. Inductive And Deductive Reasoning
Chapter 1 3. Scientific Notation And Estimation
Chapter Summary
Important Ideas In Chapter 1
New Terms In Chapter 1
Types Of Problems In Chapter 1
Chapter 1. Review Questions
Group Research Projects
Individual Research Projects
Chapter 2 The Nature Of Sets
Chapter 3 The Nature Of Logic
Chapter 4 The Nature Of Numeration Systems
Chapter 5 The Nature Of Numbers
Chapter 6 The Nature Of Algebra
Chapter 7 The Nature Of Geometry
Chapter 8 The Nature Of Measurement
Chapter 9 The Nature Of Networks And Graph Theory
Chapter 10 The Nature Of Growth
Chapter 11 The Nature Of Financial Management
Chapter 12 The Nature Of Counting
Chapter 12 1. Permutations
Chapter 12 2. Combinations
Chapter 12 3. Counting Without Counting
Chapter 12 4. Rubik’S Cube And Instant Insanity
Chapter Summary
Important Ideas In Chapter 12
New Terms In Chapter 12
Types Of Problems In Chapter 12
Chapter 12. Review Questions
Group Research Projects
Individual Research Projects
Chapter 13 The Nature Of Probability
Chapter 13 1. Introduction To Probability
Chapter 13 2. Mathematical Expectation
Chapter 13 3. Probability Models
Chapter 13 4. Calculated Probabilities
Chapter 13 5. Bayes’ Theorem
Chapter 13 6. The Binomial Distribution
Chapter Summary
Important Ideas In Chapter 13
New Terms In Chapter 13
Types Of Problems In Chapter 13
Chapter 13. Review Questions
Group Research Projects
Individual Research Projects
Chapter 14 The Nature Of Statistics
Chapter 14 1. Frequency Distributions And Graphs
Chapter 14 2. Descriptive Statistics
Chapter 14 3. The Normal Curve
Chapter 14 4. Correlation And Regression
Chapter 14 5. Sampling
Chapter Summary
Important Ideas In Chapter 14
New Terms In Chapter 14
Types Of Problems In Chapter 14
Chapter 14. Review Questions
Group. Research Projects
Individual. Research Projects
Chapter 15 The Nature Of Graphs And Functions
Chapter 15 1. Cartesian Coordinates And Graphing Lines
Chapter 15 2. Graphing Half-Planes
Chapter 15 3. Graphing Curves
Chapter 15 4. Conic Sections
Chapter 15 5. Functions
Chapter Summary
Important Ideas In Chapter 15
New Terms In Chapter 15
Types Of Problems In Chapter 15
Chapter 15. Review Questions
Group Research Projects
Individual Research Projects
Chapter 16 The Nature Of Mathematical Systems
Chapter 16 1. Systems Of Linear Equations
Chapter 16 2. Problem Solving With Systems
Chapter 16 3. Matrix Solution Of A System Of Equations
Chapter 16 4. Inverse Matrices
Chapter 16 5. Modeling With Linear Programming
Chapter Summary
Important Ideas In Chapter 16
New Terms In Chapter 16
Types Of Problems In Chapter 16
Chapter 16. Review Questions
Group Research Projects
Individual Research Projects
Chapter 17 The Nature Of Voting And Apportionment
Chapter 17 1. Voting
Chapter 17 2. Voting Dilemmas
Chapter 17 3. Apportionment
Chapter 17 4. Apportionment Paradoxes
Chapter Summary
Important Ideas In Chapter 17
New Terms In Chapter 17
Types Of Problems In Chapter 17
Chapter 17. Review Questions
Group Research Projects
Individual Research Projects
Chapter 18 The Nature Of Calculus
Chapter 18 1. What Is Calculus?
Chapter 18 2. Limits
Chapter 18 3. Derivatives
Chapter 18 4. Integrals
Chapter Summary
Important Ideas In Chapter 18
New Terms In Chapter 18
Types Of Problems In Chapter 18
Chapter 18. Review Questions
Epilogue: Why Not Math?
