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Pathways from the Past II: Using History to Teach Algebra

William P. Berlinghoff and Fernando Q. Gouvêa
Publisher: 
Oxton House Publishers
Publication Date: 
2013
Number of Pages: 
72
Format: 
Paperback
Price: 
39.95
ISBN: 
9781881929505
Category: 
General
[Reviewed by
Amy Shell-Gellasch
, on
06/16/2014
]

See the review at the page for Pathways from the Past I.

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