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

I: Using History to Teach

Numbers, Numerals, and Arithmetic

This is a 64-

Contents

First Thoughts for Teachers

1. Writing Whole Numbers: Place Value

Sheet 1-

Sheet 1-

Sheet 1-

Sheet 1-

Sheet 1-

2. Zero Is Not Nothing: Properties of Zero

Sheet 2-

Sheet 2-

Sheet 2-

3. Broken Numbers: Fraction Arithmetic

Sheet 3-

Sheet 3-

Sheet 3-

Sheet 3-

Sheet 3-

Sheet 3-

4. Less than Nothing?: Negative Numbers

Sheet 4-

Sheet 4-

Sheet 4-

Sheet 4-

Sheet 4-

― “I loved the materials. I will be able to use these throughout the year in my class.” (7th grade teacher)

teacher’s manual

& blackline masters

for 19 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

Chapter 1 fits well with the “ancient civilizations” part of any social studies curriculum. Chapters 2, 3, and 4 explore how the mathematics of non-

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“I am very excited to use these [materials] in the classroom. The info correlates with the standards I teach and are the areas my students struggle with.” (8th grade teacher)

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Reading in Context |

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Teacher's Guides |

Contrast Cards |

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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 |

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