Traditional Math : An effective strategy that teachers feel guilty using

Cover
Title Page
Copyright
Dedication
Authors
Contents
Foreword (Paul Kirschner)
Introduction
Part I: Grades K-6
1. Getting Started
2. Important Stuff: Numbers and Operations
3. Numbers You Can Count On
4. Math Properties: Numerical Real Estate?
5. Zeros: Here Goes Nothing
6. Addition and Subtraction
7. Multiplication and Division
8. Bits, Pieces, and Whole Things with Extra Parts: Fractions, Decimals and Percents
References for Part I
Part II.A: Seventh-Grade Math
1. Negative Numbers: Gains and Losses
2. Negative Numbers: Adding Integers on a Number Line
3. Negative Numbers: Subtracting Integers
4. Negative Numbers: Multiplying Integers
5. Algebraic Expressions: Translating from English to Algebra
6. Order of Operations
7. Solving One-Step Equations with Addition and Subtraction
8. Solving Equations with Rational Coefficients
9. Solving Word Problems with Equations
10. Solving Inequalities with Multiplication and Division—Negative Factors
11. Ratios and Tape Diagrams
12. Solving Ratios Algebraically
13. Solving Proportional Relationships
14. Other Aspects of Proportions
15. Equations with Variables on Both Sides
16. Percents and the Percent Equation
17. Solving Percent Problems Using Proportions
18. Discounts, Mark-ups, Taxes, and Tips
19. Unitary Method for Discounts and Mark-Ups
20. Finding Original Amounts
Part II.B: Accelerated Seventh Grade and Math 8
21. Linear Equations and Functions
22. Representing Linear Functions
23. Slope and Constant Rate of Change
24. Slope-Intercept Form of Linear Equations, and Graphing
25. Solving Systems of Equations by Graphing
26. Solving Systems of Equations by Elimination
Part III: Eighth-Grade Algebra
1. Solving Word Problems
2. Multiplication (Exponents; Powers)
3. Literal Equations
4. Solving Absolute Value Inequalities
5. Uniform Motion Problems: Opposite Directions
6. Uniform Motion Problems: Same Direction
7. Power of Products and of Powers
8. Multiplying Two Polynomials
9. Zero Power and Negative Exponents
10. Identifying Common Factors
11. Squaring a Binomial
12. General Method of Factoring Trinomials
13. Working with Factors Whose Product Is Zero
14. Algebraic Fractions (Rational Expressions): Simplifying
15. Adding and Subtracting Fractions
16. Fractional Equations
17. Word Problems that Use Algebraic Fractions
18. Graphing Linear Equations: Point-Slope Form
19. Systems of Equations; Mixture Problems
20. Two-Variable Wind and Current Problems
21. Quadratic Equations: Square Root Method
22. Completing the Square
23. Solving Quadratic Equations by Completing the Square
24. The Quadratic Formula
25. Derivation of the Quadratic Formula
References for Part II and III
Afterword