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Teacher Handbook

NOTE. Our Teacher Handbook is available in two formats: HTML (viewable in any web browser) and PDF (requires Adobe Acrobat Reader). See the additional information about these formats at the bottom of this page.

Table of Contents

Mathematics Research in the Classroom

Using the Making Mathematics Research Projects and Lessons
Setting and Sharing Goals  HTML  |  PDF
Student and Teacher Affect  HTML  |  PDF
Getting Stuck, Getting Unstuck  HTML  |  PDF
Building Collaborative Skills  HTML  |  PDF
Using Class Time
Resources  HTML | PDF

Mathematics Research Skills

Introductory Explorations  HTML  |  PDF
Definitions  HTML  |  PDF
Problem Posing  HTML  |  PDF
Examples, Patterns, and Conjectures  HTML | PDF
Proof  HTML | PDF
Getting Information  HTML | PDF
Presenting Your Research  HTML | PDF

Mathematics Tools
(Important but often-neglected content)

  Conditional Statements
Mathematical Induction
Proof by Contradiction
Parity Arguments
Pigeonhole Principle
Number Theory
  Modular Arithmetic
Euclid’s Algorithm
Fermat’s Little Theorem
The Chinese Remainder Theorem
The Fundamental Theorem of Arithmetic
Pascal’s Triangle
The Geometry of Complex Numbers
Numbers and Infinity



We offer each of the Teacher Handbook sections in two formats:
  • HTML (HyperText Markup Language). You can see these documents directly in your web browser. (They are "plain" web documents.)

  • PDF (Portable Document Format). To see these documents, you must have Adobe Acrobat Reader installed on your computer. PDF documents display and print mathematics more crisply than HTML documents, and they include pagination. If you want to create handouts, use the PDF version of our documents.
     Installing and using Adobe Acrobat Reader is relatively easy. Adobe Acrobat Reader is free. In fact, many new computers come with Adobe Acrobat Reader already installed. You can read more about Adobe Acrobat Reader and download it if necessary at the following Adobe web sites.
    Macintosh users: http://www.adobe.com/support/downloads/acrmac.htm
    Windows users: http://www.adobe.com/support/downloads/acrwin.htm

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Translations of mathematical formulas for web display were created by tex4ht.

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