First Thoughts for Teachers
1. Writing Algebra: Using Algebraic Symbols
Sheet 1-1: Symbols of Arithmetic
Sheet 1-2: Algebra in Italy, 1200 - 1550
Sheet 1-3: Germany and France, 1450 - 1600
Sheet 1-4: Letters for Numbers
2. Linear Thinking: Ratio, Proportion, and Slope
Sheet 2-1: The Rule of Three Direct
Sheet 2-2: The Rule of Three Inverse
Sheet 2-3: False Position
Sheet 2-4: Double False Position
3. A Square and Things: Quadratic Equations
Sheet 3-1: Completing a Square
Sheet 3-2: Algebra Comes of Age
Sheet 3-3: Using Zero
Sheet 3-4: A Method That Always Works
Sheet 3-5: Quadratics in Earlier Times
4. Cubics and Imaginaries: Third-Degree Equations
Sheet 4-1: Boxes, Lines, & Angles
Sheet 4-2: From Shapes to Numbers
Sheet 4-3: The Depressed Cubic
Sheet 4-4: The General Cubic
Sheet 4-5: Impossible, Imaginary, Useful
Bibliography