Text set 2: Pascal's Triangle

Research papers:

• Pascal's Triangle; The Many Tricks Held Within by Mary Daughtry, 2010

A research paper looking into the different uses for Pascal's Triangle extending to probability
http://education.uncc.edu/cstem/sites/education.uncc.edu.cstem/files/media/SV/2010/ME/Mary%20Margaret%20Daughtry-%20Pascal's%20Triangle-%20The%20Many%20Tricks%20H.pdf

Informative sites

• Montclair; Pascal's Triangle

This is a cool informative site.  There are links on the left that guide you through the article starting with an introduction, patterns, then applications.
http://pages.csam.montclair.edu/~kazimir/conclusion.html

• Mathisfun.com

This site is chock full of examples and explanations on how Pascal's Triangle works
http://www.mathsisfun.com/pascals-triangle.html

• Binomial Theorem and Pascal's Triangle

This is a stepped out introduction to pascals triangle and even explains in detail how to find the nth terms coefficient.

http://mathematics.laerd.com/maths/binomial-theorem-intro.php
Books:

• Pascal's Arithmetical Triangle by A. W. F. Edwards 

Looks into the historical development of Pascal's Triangle and further explains the how, what, and why's

Articles:

• Exploring Pascal's Triangle by Tom Davis

An article" intertwining pedagogical advice with mathematics" leading students into discovery
http://www.geometer.org/mathcircles/pascal.pdf

• Encyclopedia Brittanica; Pascal's Triangle by William Hosch

A brief history and background of Pascal's Triangle including a brief description of how the arrays work
http://www.britannica.com/EBchecked/topic/445453/Pascals-triangle

• Mathematical Association of America Patterns in Pascal's Triangle by Kathleen Shannon and Michael Bardzell

A deeper look into the many patterns and gems that Pascal's Triangle illuminates
http://www.maa.org/publications/periodicals/loci/joma/patterns-in-pascals-triangle-with-a-twist-introduction

• Mathematics in School: v36 no2 Pascal's Pupils by Paul Stephenson

This article addresses the importance of student discovery and that our students may even discover things we are unaware of.  Suggests a method to use with Pascal's triangle to assist in enabling discovery

• Mathematics in School: v 26 no2 Spinning Beyond Pascal's Triangle by Chris Grover

This article takes Pascal's Triangle and applies it to probabilities, showing yet another useful take on the Triangle.

Lessons:

• Ezine Pascal's Triangle and Binomial Expansion by Alec Shute

An explanation of how to expand binomials using Pascal's Theorem.  Although this is not technically a lesson, I felt it fit better under this category.
http://ezinearticles.com/?Pascals-Triangle-and-the-Binomial-Expansion&id=7297721

Number patterns in Pascal's Triangle by Ulysses Harrison  This is a lesson plan used to help students recognize the number patterns found in Pascal's Triangle

http://mypages.iit.edu/~smile/ma9408.html

• Teacher's Institute: Exploring Pascal's Triangle and other Recursive Patterns by Carole Bersani

Gives an introduction and brief historical connection as well as 3 lesson plans to teach Pascal's Triangle by recognizing patterns
http://www.cfep.uci.edu/uci-sati/faculty/carole_bersani_full.html