Sometimes the teaching itch needs scratched by some of our authors. The results of those will be compiled here. We also accept e-mail requests.

### Education

#### Assessment Theory, including Item Response Theory and Computerized Adaptive Testing

- Lesson 1: Who Is It For?
- Lesson 2: Broad Types of Assessment
- Lesson 3: Validity, Reliability and Item Bias
- Lesson 4: Norm-Referenced Results
- Lesson 5: Criterion Referenced Results
- Lesson 6: Single Classroom Analysis
- Lesson 7: Parametric Item Response Theory
- Lesson 8: Computerized Adaptive Testing
- Lesson 9: Nonparametric Item Response Theory

### Math

#### Computing without Computers

- Converting repeating decimals into fractions
- Greatest Common Factors through subtraction
- Logarithms
- Square roots

#### Proving That Which Can Be (But Usually Isn’t) Proven in Public School

#### Set Theory

#### Math From Scratch

Bibliography for the entire series

##### Volume 1

- Lesson 1: Relations
- Lesson 2: Set Theory
- Lesson 3: Whole and Natural Numbers
- Lesson 4: The Group Axioms
- Lesson 5: Structuring Symmetry
- Lesson 6: Permutations
- Lesson 7: In Her Majesty’s Secret Subgroup
- Lesson 8: Mappings and Functions
- Lesson 9: Cosets and Lagrange’s Theorm
- Lesson 10: Introduction To Rings
- Lesson 11: Introducing Base 10
- Lesson 12: Bases Other than 10
- Lesson 13: Metric Spaces Other Than Canada
- Lesson 14: Defining Division With Remainder
- Lesson 15: The Fundamental Theorem of Arithmetic
- Lesson 16: Divisibility Rules (for Base 10)
- Lesson 17: Modular Arithmetic
- Lesson 18: The Euclidean Algorithm
- Lesson 19: Solving Linear Diophantine Equations
- Lesson 20: The Chinese Remainder Theorem
- Lesson 21: Totients
- Lesson 22: RSA Encryption

##### Volume 2

- Lesson 23: Defining Algebraic Fields
- Lesson 24: Defining the Rational Numbers
- Lesson 25: Infinite Processes
- Lesson 26: Finite Sequences and Series
- Lesson 27: Infinite Sequences and Series
- Lesson 28: Rational Exponents
- Lesson 29: Decimal Representation
- Lesson 30: Implications of an Impossible Number
- Lesson 31: Limits
- Lesson 32: Real Numbers

##### Volume 3

- Lesson 33: Constants, Variables and Parameters
- Lesson 34: Order of Operations and Isolating Variables
- Lesson 35: Defining Polynomials
- Lesson 36: Polynomial and Quadratic Roots
- Lesson 37: Solving Cubic Polynomials
- Lesson 38: Solving Quartic Equations
- Lesson 39: Losing the Axiom of Inequality
- Lesson 40: Introducing New Algebras
- Lesson 41: The Fundamental Theorem of Algebra
- Lesson 42: n-tuples, Vectors and more
- Lesson 43: Introducing Matrices
- Lesson 44: Exploring Matrix Polynomials

### Physics

#### Chemistry Connection

#### Kinematics

- Deriving the five main kinematics equations – TBA (with the proofreaders)

#### Quantum Mechanics

- Lesson 1: Classical Thinking: Why Does It Fail?
- Lesson 2: Curiouser and Curiouser
- Lesson 3: Enter Heisenberg, Exit Common Sense
- Lesson 4: Don’t Underestimate the Power of Virtual Particle Exchange
- Lesson 5: Let There Be Quantized Electromagnetic Radiative Energy
- Lesson 6: Quanta, Quanta Everywhere
- Lesson 7: Down the Rabbit Hole
- Lesson 8: One and One and One is Three
- Lesson 9: Like a Record, Baby

#### Relativity

- Lesson 1: The Need for Relativity
- Lesson 2: The Revelation of Einstein
- Lesson 3: Space and Time
- Lesson 4: Fun With Paradoxes
- Lesson 5: Energy and Momentum
- Lesson 6: Electricity and Magnetism
- Lesson 7: Gravity
- Lesson 8: Black Holes and Worm Holes
- Lesson 9: Cosmology

Page last updated September 26, 2012 at 5:38AM server (Pacific) time.

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