Text Set - Proofs

Websites:

http://tutorial.math.lamar.edu/Classes/CalcI/LimitProofs.aspx

Readability - 10.3

 This site is called "Pauls online notes" to the average Calculus student.  It is a collection of notes a professor has posted to his website, specifically linked are his proofs for limits.  I like how he gives great in-depth examples and provides an extra resource for students on the whole.  

http://education.ti.com/en/timathnspired/us/home

Readability - 12.0

This site works in tandem wit h the Ti-Nspire app to provide great ways to teach subjects using technology - great for those honors courses.  When exploring this site also gives a list of textbooks that cover the material along with the standards that particular activity covers.  This makes an excellent teacher resource for teaching geometry proofs.

http://patrickjmt.com/

Readability - 9.6

This is a resource I have been using for years with my own schooling and with the students I am now tutoring.  It provides a great way to "flip" your tutoring sessions or even get ideas for how to create flip classroom videos!  The proofs on induction are particularly clear and concise with great expanations

https://www.khanacademy.org/math/trigonometry/seq_induction/proof_by_induction/v/proof-by-induction

Readability - 11.8

This is another site that is great for "flipped" instruction.  Khan academy offers a different format to their videos and provides less distraction by using technology to write directly on the writing surface.  This particular video gives a great explanation to using induction to prove a concept.

http://www.kutasoftware.com/freeige.html

Readability - 4.7

This is a semi-free teacher resource that geometry teachers can utilize to help their students prove geometry concepts.  Kuta offers free worksheets (pro), and for a one time payment (con), allows you to manipulate problems, restructure them, and change the format with which your student answers them -- essay, short answer, or even bubble are just some of the ways you can manipulate a normal worsheet o work for you (also great practice for the E.O.C.'s and ACT/SAT practice).

http://www.dummies.com/how-to/content/using-ifthen-logic.html

Readability - 8.6

While I don't like the "dummies" aspect of this site, it is clearly written with humorous touches thrown in.  I like how it gives numerous examples, and allows you to print the page for a quick resource.

Books

How to Prove It: A Structured Approach

by Daniel J. Velleman

Readability - 6.7

An overall great book for those getting ready to experience advanced mathematics.  This book can be a bit hard to read sometimes (the readability lies!), but definitely has great re-readability and is a great "quick" source for refreshing those proof skills.

Proofs without Words: Exercises in Visual Thinking (Classroom Resource Materials)

Readability – 8.4

BEHOLD! - One of the only words in the first few pages, this book provides a great resource for those visual learners to experience the many geometric proofs students encounter.  I like the minimalist language the book uses which will prompt the student to as their *teacher* questions.

Q.E.D.: Beauty in Mathematical Proof

by Burkard Polster

Readability - 11.9

I like this book because it gives a down to earth explanation of proofs and how to do them.  The writing within looks elegant while still providing an explanation that leaves you feeling more intelligent.

Math Girls 2: Fermat's Last Theorem (Volume 2)

by Hiroshi Yuki, Tony Gonzalez

Readability - 3.6

The authors write this book as a narrative and it keeps one interested while still doing math.  Most high schoolers should be able to follow the book at least half way through (the book's mathematical concepts get more challenging as the book goes on) but in the end gives some of the mathematical concepts that lead to a proof of Fermat's Last Theorem (which wasn't really his last theorem per-se).

The Moment of Proof: Mathematical Epiphanies

by Donald C. Benson

Readability - 7.6

This book gives some interesting math appetizers that really hook the reader into reading more.  I felt it almost read like a detective novel only the stories are much shorter and have longer explanations.  

Games

http://www.themathlab.com/geometry/mathcourt/howtoplay.htm

Readability - 6.8

This is  an interesting game to help your students get better at proofs.  I like how all the materials are available for your use - eventually.  I don't like how you have to do a bunch of clicking to get those materials together.

http://feromax.com/cgi-bin/ProveIt.pl

Readability - 2.6

This is a site to practice your geometry proofs simply by clicking.  Great for those who have technology and also have horrible handwriting.  This allows students to practice with their focus on the proof, not the writing.

http://calculationnation.nctm.org/Games/
Readability - 7.7

This site contains games that cover all sorts of subject matter in mathematics.  My favorite is "Slam Ball" where, even though you don't actually prove anything, you have to use the knowledge you have gained from proofs to complete the game with the highest score.