• Introduction
  • Introduction to the Student
  • Introduction to the Professor
  • PascGalois JE User's Manual
• Core Labs
  • Introduction to PascGalois JE
  • Pattern Recognition and Pascal's Triangle Modulo n
  • An Introduction to Isomorphism: Groups of Order 4
  • Subgroups and Generators of Z_n
  • Isomorphism
  • Quotient Groups of Z_n
• Supplemental Labs
  • Building A Group with PascGalois Triangles
  • Pattern Recognition Using Dihedral Groups
  • Subgroups and Generators of D_n and S_n
  • Direct Products and Automorphisms
  • Quotient Groups of D_n and S_n
  • Subnormal Series
  • Self-Similarity and the Klein-4 Group
  • Rings and Fields
  • Discovering a Binomial Identity
  • Exploiting Symmetry in Pascal's Triangle Modulo a Prime by Tyler Evans

Abstract Algebra: Pascal GT Labs

by Mike Bardzell and Kathleen Shannon

• The Complete Lab Manual
• Individual Labs and Handouts
  • Introduction to the Student
  • PascGalois Project 1: Pattern recognition and Pascal's Triangle Modulo n
  • PascGalois Project 2: Pattern Recognition Using Dihedral Groups
  • PascGalois Project 3: Building A Group with PascGalois Triangles
  • PascGalois Project 4: Direct Products and Automorphisms
  • PascGalois Project 5: Quotient Groups 1
  • PascGalois Project 6: Quotient Groups 2
  • PascGalois Enhancement Projects
    • Self-Similarity and the Klein-4 Group
    • Rings and Fields
    • Two Dimensional Automata
  • Appendix: Brief Introduction to the PascalGT Software

Mathematics for Elementary Education

by Cynthia Woodburn and Nancy Zumoff

• Developing Pascal's Triangle
• Coloring Multiples
• Modular Addition
• Color a Z₂ Triangle
• Color a Z₃ Triangle
• Color Your Own Triangle mod n
• Color Your Own Triangle - General Group
• Coloring Pascal Triangles Contest
• Searching for Patterns - Identity Elements
• Searching for Patterns - More with Identity Elements
• Pascal Petals
• Magic Power of 11
• More Uses of Pascal's Triangle - Combinations
• Notorious Numbers

Number Theory

by Mike Bardzell, Michael Fisher and Kurt Ludwick

• Unimodality of the Binomial Coefficients - by Michael Fisher
• Cryptology - by Michael Fisher
• Fermat's Little Theorem - by Michael Fisher
• Fibonacci Primes - by Michael Fisher
• How many binomial coefficients are even? - by Michael Fisher
• Primitive Roots - by Michael Fisher
• Discovering a Binomial Identity - by Mike Bardzell
• The Lucas Correspondence Theorem - by Kurt Ludwick