© 2013 Oxton House Publishers, LLC

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Pathways from the Past is a pair of teacher’s manuals and two sets of activity sheets
for helping students master various topics in arithmetic, pre-

that often cause trouble. Their approach implements the spirit of the NCTM
document,

Pathways from the Past

II: Using History to Teach Algebra

This is a 72-

Contents

First Thoughts for Teachers

1. Writing Algebra: Using Algebraic Symbols

Sheet 1-

Sheet 1-

Sheet 1-

Sheet 1-

2. Linear Thinking: Ratio, Proportion, and Slope

Sheet 2-

Sheet 2-

Sheet 2-

Sheet 2-

3. A Square and Things: Quadratic Equations

Sheet 3-

Sheet 3-

Sheet 3-

Sheet 3-

Sheet 3-

4. Cubics and Imaginaries: Third-

Sheet 4-

Sheet 4-

Sheet 4-

Sheet 4-

Sheet 4-

Bibliography

teacher’s manual

& blackline masters

for 18 two-

activity sheets

$39.95

978-

The Manual

Each of the four major chapters is organized like this:

- Its mathematical focus is stated first.
- “Historical Connections” lists the relevant regions and time frames.
- A summary of the historical ideas comes next.
- A section for each Activity Sheet starts with its main mathematical ideas and its
pedagogical purpose, followed by a detailed solution for

each question.

The Content

The four chapters in this set progress from deciphering basic algebraic symbols to
tracing how the pursuit of solutions to cubic equations led to major changes in the
way we think about numbers. There’s something for every level of algebra instruction,
from the basic ideas of proportion and linearity to the equation-