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-

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-

© 2006 – 2015 Oxton House Publishers, LLC

Made by Serif

“This is something that I can see fitting into various grade levels.” (A high school algebra teacher)

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Reading home |

Concept Phonics |

Decoding Test |

Fluency |

Say, Read, & Spell |

Reading in Context |

Handwriting |

Sounds & Spelling |

Teacher's Guides |

Contrast Cards |

Speed Drills |

Worksheets |

Word Lists |

Vowel-Team Pictures |

Sentences & Paragraphs |

Sound Pack |

Research |

About Dr. Fischer |

Say, Read, & Spell samples |

Somerville |

Comprehension |

Somerville Samples 1 |

Somerville Samples 2 |

Mathematics home |

Math History |

Teach Math thru History |

Teach Algebra thru History |

Arithmetic Drills |

Nimble Numeracy |

Beckenbach Prize |

Pathways I samples |

Pathways II samples |

Sample 1 |

Sample 2 |

Sample 3 |

Preface & Contents |

pages 8-9 |

pages 16-17 |

Special Interest home |

Legacy of the Blue Heron |

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