Oxton House Publishers, LLC

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Pathways from the Past

Pathways from the Past is planned as a series of teacher’s manuals and sets of activity sheets for helping students learn various parts of elementary and secondary math.  The first set in this series is

Pathways from the Past

I: Using History to Teach
Numbers, Numerals, and Arithmetic

This package is a 64-page manual and a set of blackline masters for 19 two-page student activity sheets.  Its topics are basic to the curriculum and assessment guidelines of most states and are in the Numbers and Operations parts of the NCTM Focal Points for grades 5 - 8.

Building on ideas from their award-winning book, Math through the Ages, Berlinghoff and Gouvêa have crafted a teacher-friendly tool for helping students understand basic topics that often cause trouble.  Their approach implements the spirit of the NCTM’s 2009 document, Reasoning and Sense Making.  Each step in the development of mathematics builds on what has come before.   The things that students need to know now come from questions answered in the past.  

Knowing their history can help students
understand, remember, and use today’s tools
to deal with the problems of tomorrow.

Contents

First Thoughts for Teachers

1. Writing Whole Numbers: Place Value

Sheet 1-1: Egyptian Hieroglyphics

Sheet 1-2: Babylonian Numerals

Sheet 1-3: Mayan Numerals

Sheet 1-4: Roman Numerals

Sheet 1-5: Hindu-Arabic Numerals

2. Zero Is Not Nothing: Properties of Zero

Sheet 2-1: Using a Placeholder

Sheet 2-2: The Number Zero

Sheet 2-3: Zero in Equations

3. Broken Numbers: Fraction Arithmetic

Sheet 3-1: Unit Fractions

Sheet 3-2: Place Value Fractions

Sheet 3-3: Name and Count

Sheet 3-4: Working with Parts

Sheet 3-5: Decimals

Sheet 3-6: Percent

4. Less than Nothing?: Negative Numbers

Sheet 4-1: What Are Negative Numbers?

Sheet 4-2: Adding & Subtracting Negative Numbers

Sheet 4-3: Multiplying & Dividing Negative Numbers

Sheet 4-4: Fitting In

Sheet 4-5: Powers and (Sometimes) Roots

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

64-page
teacher’s manual  
& blackline masters

for  19 two-page
activity sheets

$49.95

978-1-881929-49-9

To see some sample activity sheets,
click on this bar.