Welcome to Andrew Borne's Math, Education & Technology Website

  Basic Credentials
Andrew T. Borne
License #432313 for grades 5-12, Mathematics, Minnesota
Click here for online license verification

Masters in Education, Classroom Instruction
email: abornemath(at)gmail.com

Post-Bach Teaching
Concordia University, St. Paul 2010-2011
University of St. Catherine, St. Paul 2011

Hi everyone. The purpose of this page has a funny story. Back in the early 2000's, I knew how to code some basic HTML for webpages. This was before cloud-storage services like iCloud or Dropbox. I loved the idea of putting my stuff "on the web" and have it just be easy to get to. Neat idea, right? I was clouding my stuff before there was a cloud.

The all the information on the internet are like shifting sands. I wanted prevent some things from disappearing; much of the content in the library section has been made into a PDF or some such file so it will stay put until I delete it. So there you go! Feel free to look around, and I hope the content is useful to you! - Andy

   Math Videos and Movies
Titles to be added:

Good Will Hunting
N is a Number
Donald Duck in Mathemagic Land
Nova: Fractals, the Hidden Dimension
   Texas Instruments TI-84 Plus Videos and Docs

Check out my YouTube Channel!

Transferring Files onto the TI-84 Plus
A very short video that shows you how to transfer an .8xp file on to your TI-84 series calculator. You will need a laptop or desktop Windows/PC or a Apple Mac. Download some free software from Texas Instruments and install it on your computer. You will also need a USB cable (sorry, the Mini-USB cable you use with your Samsung Smartphone will NOT work). This will work fine with TI-83 Plus but you will need a Silver Graphlink USB transfer cable.

Quadratic Equations on the TI-84 Plus
An essential program for anyone working with quadratic equations in Algebra. This program takes coefficients a,b, and c and produces the solutions, discriminant, axis of symmetry and the graph. Even better, it adjusts the window automatically for you when you view the graph...no more fooling around with xMin and yMax in the Windows menu. No other programs do what this one does! And best of all it's FREE. Need help installing a program? See this vid.

The Standard Shading Program (Normal Density)
This program which works on the TI-84 Plus and TI-83 Plus will take the mean, standard deviation, lower and upper bound to produce a graphe of the area as seen shaded on a normal curve. It will also state the area under the curve. Need help installing a program? See this vid.

Faster Graphing / Asymptote Detection
For many, the first time a function is graphed on the TI-84+ Color it is S-L-O-W. This is because a mode called asymptote detection is set to ON. By turning this off, plotting of a graph is sped up. But why is this mode here? What does it do? View the Youtube video to see and/or view the PDF documentation.

Z-scores and Percentiles
Studying z-scores and/or percentiles? You want this program! Compatible with TI-84+ SE and the newer TI-84+ SE Color. This program will do three things: 1) find a z-score given mean, standard deviation and the raw score, 2) find the z-scores of a list and put them into another list for easy viewing, and 3) find the z-score given the percentile. Yes! Bonus, the listing of the program is in PDF form so you can look it over to see how it works.

How to use the Algebra Equation Solver
This is a built-in utility found on the TI-84+, SE and SE color. The solver allows you to put in an algebraic equation and solve for x. This tutorial shows you how to use it on the TI-84+ Silver Edition Color, and also on the TI-84+ SE which has some minor differences.

Binomial Probability Program
Working on a lesson about binomial distributions and probability? Need to find probabilities using the formula Crn prqn-1? This program will take in trials, probability of success, and desired number n and output a helpful summary of probabilities.

The TVM (Time Value Money) App
This built-in APP found in the TI-83+, TI-84+ and the TI-84 C is a financial app that is very powerful and easy to use. This App allows you to solve for Number of payments, Interest rate, Principle, Future Value and payments. This App is worth the price of the calculator alone. Have this with you next time you sit down with a lender.

The MIDPOINT Program
This program will find the midpoint (x,y) between two points, (x1,y1) and (x2,y2). This program and video are designed to help you learn the basics of programming your TI-84 calculator. Download the PDF and learn simple input/output and computation.

Slider Demo

This TI-nspire document (should work with both regular and CAS models) is a simple document which has sliders connected to variables which control a graph. Page 1.1 is a linear equation and page 1.2 is a quadratic equation
slider-demo.tns - TI-nspire Document

   Video Podcast

Minnesota MCA-II 11th Grade Questions & Explanations, Convering Questions 1-20

If you have iTunes, you can automatically subscribe by clicking below:
or, copy & paste this URL in: http://www.andyborne.com/podcasts/mca.xml

   Math Library

Media Type
PDF Best Ever Unit Circle by Andrew Borne  
PDF Math Advances Raise the Prospect of an Internet Security Crisis, MIT Technology Review August 2013
Mp3 Datamining, Marketplace, Minnesota Public Radio, 8 Megs Sep 2010
Mp3 Introduction to Number Theory (6 minutes) easy to understand  
PDF The Unreasonable Effectivness of Mathematics, by Eugene Wigner 1960
PPT The Beauty of Mathematics, unknown author  
PDF Finding Roots, three different ways (Algebra II), by Andrew Borne
PDF Einstein failed math as a child myth...busted!
PDF How did people do square roots in the 1960s? 1961
PDF Al-Kwarazmi, "The Father of Algebra"
PDF Some Reasons for the Effectiveness of Fractals in Mathematics Education,
by Benoit B. Mandelbrot and Michael Frame
PDF Fractals, Graphics, and Mathematics Education, by Benoit B. Mandelbrot
PDF Infinity: You can't get there from here! From Platonic Realms website
PDF Math Jokes, anecdotes and other funny quotes, Collected by Mike Cook even more!
PDF A primer on Zeno's Paradox, from Platonic Realms
PDF Mathematics and the spiritual dimensions, by Swami B. B. Visnu
PDF The Bumble Bee can't Fly Myth
PDF If Robots Run the World, What Should Students Learn?, Katrina Schwartz April 2013
PDF How Long is the coast of Britian?, by Benoit B. Mandelbrot 1967
PDF Obituary of Jaime Escalante, LA Times 2010
PDF Blooms Taxonomy for Learning, Math emphesis, by Andrew Borne  
PDF 666, the biblical number of fhe beast, A mathematical examination, by Mike Keith  
PDF Ada Lovelace wrote the world's first computer program...what did it do? Dec 2012
PDF The Rapunzel Number: The Math of Ponytails Feb 2012
PDF How Math is affecting advertizing in social media Aug 2013
Mp3 Christmas, by the Numbers (time: 4:40) 4.3 Megs Aug 2013
TED link TED Talks, 20 minutes, Stephen Wolfram: Computing the Theory of Everything
Alternate Link on Wolfram site
April 2010
PDF That Darn River boat Problem, a DRT combined with quadratics.  
JPG Advice from a professor of mechanical engineering on how to teach  
PDF Step-by-Step making of the Mandelbrot Set. Orbits & iteration (high school level)  
PDF Multiplying Polynomials using a box by Andrew Borne  
PDF The amplituhedron: a Jewel at the heart of Quantum Physics, Quanta Magazine Sep 2013
PDF Boo! The 'Witch' of Agnesi, a curve by Maria Agnesi  
PDF Understanding the Fourier transform, by Stewart Riffle Dec 2013
MP4 A bizzare proof of how the summation of the positive integers equals... -1/12th? Jan 2014
PDF The amazing mathematical art of Rafael Araujo, non-computer drawings. Feb 2014
PDF A detailed statistical analysis of the paintings of Bob Ross by Walt Hickey  
PDF A look at the mathematics behind the works of M.C. Escher  
Mp3 Comedy Sketch from Wits, American Public Media, staring David Cross May 2014
PDF The Multimillion-Dollar Minds of 5 Mathematical Masters, New York Times June 2014
PDF Why do Americans stink at Math? New York Times Aug 2014
PDF A woman wins the Fields Medal, the highest honor in mathematics. CNN Aug 2014
PDF Number Games: Dyscalculia Jan 2013
Mp3 Krista Tippet interviews Mario Livio, author of "Is God a Mathematician?" June 2015
PDF Andrew Wiles receives award for solving Ferman's Last Theorem Mar 2016
PDF Quora answers, The mysterious "Multiplication Wheel" of Oklahoma May 2016
MP3 TED Radio Hour: Why do we solve for 'x'? Original March 6, 2015, 53 minutes May 2016
PDF A beautiful photographic series of computers from the 1950's and 60's May 2016
PDF The Painter who Entered the Fourth Dimension, BBC May 2016

   Unicode Math Characters, copy & paste!

These are not all the unicode math symbols, but these seems to be the ones most often needed!

Alt Code
greater than or equal to ALT-242
less than or equal to ALT-243
x-bar average or mean
p-hat proportion of a sample
ŷ y-hat predicted outcome
Δ Greek uppercase delta, change
Ω Greek uppercase omega ALT-234
θ Greek lowercase Theta
μ Greek lowercase mu, stat mean, prefix micro ALT-230
σ small sigma, standard deviation ALT-229
χ Greek lowercase chi, pronounced as "key"
π Greek lower case pi ALT-227
subscripted 1
subscripted 2
² squared, superscripted 2 ALT-0178
³ cubed or superscripted 3 ALT-0179
radical symbol or square root ALT-8730
½ one-half, half symbol ALT-0189
¼ one-quarter or one-fourth symbol ALT-0188
± combined plus-or-minus ALT-0177
multiplication dot, bullet symbol ALT-0149
infinity symbol
angle symbol
° degree symbol ALT-248, 0176
congruence symbol
÷ obelus, or division symbol ALT-246
¢ cent, american money unit ALT-0162
ø empty set
function composition, (fg)
approximately equal to
not equal to

   Quadratic Equation Solving Spreadsheet


Apple Numbers Spreadsheet version

   Printables, made by me, and free free free!

Graph paper
10x10 | 8x8 | 30x30 | 22x37

Full sheet graph paper
Isometric dot paper for space figures
Sheet of Number Lines (-5 to +5) for inequalities

Best Ever Unit Circle | Unit Circle (2 per page)

Southpark "Math Is...Universal" Poster

For fans of the long-running Comedy Central show Southpark, below is a re-creation of that poster seen in the background of Mr. Garrison's 4th grade classroom, the famous "Math Is...Universal" poster. The background image is known commonly as the Keyhole nebula.

The font used is called arcon. I had it printed at Walgreen's photo printing services, at a size of 16 inches by 20 inches for around $25. Download this poster, send it to Walgreens (or other printing services) print, and hang in plain sight! You never know what 4th grader will be inspired...

   Calculator Emulation

TI-83 Plus Debugger & Instructions This is a .zip file containing the TI-83 Debugger I've downloaded from Texas Instruments. Included in this zip file is a short video tutorial on how to install it, and run it for the fist time. Student-friendly. Works with Windows 95 thru Windows 10. 

Virtual TI v5 This program does a great job of emulating the TI-83 Plus and TI-89. Tested with Windows 7. 

Vintage TI-30 Simulator While fully functional, this is more of a novelty/nostalgic item than a useful calculator. It is a simulation of the popular mid-1970's scientific calculator from Texas Instruments. It re-creates the red LED display, the button press sounds, and the wait time for calculating complex expressions. Windows Only. 

Wabbitemu Website This is a link to the actual site. Wabbit EMU is a Z80 simulator. Highly configurable. Can be used to simulate a TI-83, TI-84 Plus, and TI-84 Color. Windows zip archive, as of March 2015. 

HP 12c web emulator A fully working HP-12c right on the web! They also have a Chrome App that will open in it's own window and behaves more like a desktop app for $1.99. Give it a try to get a taste of reverse Polish notation. You can purchase actual Windows/PC and Macintosh app versions from RLM Tools.  

   Math Links / Math Education Links / Math Interest

Virtual Interactives / Online Tools
Seeing Math: Concord Interactives
Desmos Online Graphing Calculator
National Library of Virtual Manipulatives

QR Code Maker | QRStuff.com
WIRIS Math ML Generator

Gateway Resources
Tales from Technology Pipstone Area Schools, MN
EAI Education Supplies
NSDL- prepared activities

Free Tech 4 Teachers Blog - RIchard Byrne
Campus Technology News

Math Interest
Math in Society free book!
Guide to pi | Pi Fast Program
Scott Flanberg: Human Calculator
Minnesota Math News (google search)


Math Helping People
Free Rice

Mobile Learning, (tablet platforms)
Adobe Mobile Apps
Apple iPad in Education Gateway

Professional Development
Admin MN - School District Maps

T3 online webinars | T³ Online Classes
MN Council of Teachers of Mathematics

Google for Education | Google Teacher Academy

MathForum @ Drexel
Augsberg Education Continuing Studies

University of MN, Prof. Development | Certificate Programs
MathCEP Prof. Development
AP College Boards Prof. Dev.
Learners Edge
k12 TeacherStaffDevelopment

Tutorials / Math Encyclopedia
Wolfram Mathworld
TI Calc.org

Online Collaboration Tools
VuVox Collage
SnagIt combined with Screencast.com
Dabble Board
Adobe Connect Pro (free trial)
Adobe Captivate
Adobe FormsCentral
Smart Notebook

University Math Homepages
U of M Math Dept | Center for Ed Programs | UMTYMP

Other Math / Teaching Links / Downloads
The Journal
PBS Learning Media
Teacher Ed. TI software | TI software
Vernier, Purchase TI-84 Smartview Try TI-84 Smartview for 90 days

Incomptech Graph Paper
korthalsaltes.com, Clip & Assemble Paper Polyhedra
Tatham Portable Puzzles
NCTM Free Standard 120 Day Trial
MN MCA Item Samplers
StraigherLine College, (accredited)

Online Stores
Creative Publications (K-8)
Educators Outlet
The Science Teecher
Math Style

Math Teacher Sites
Christopher True  (AP Stats / Calc)
Tom Reardon  (n-spire)
John Hanna  (n-spire)
Greg Tang  Math Skills

Vector Graphic Sample

The graphic to the left was my attempt at vector-based art. I attempted to copy a raster-based graphic, which was made of pixels, into a raster-based graphic which is made of curves and lines based on equations so it can be scaled and sized without limitation. In a way, this is where math meets art. The graphic can be downloaded as a Photoshop .psd CS5 document, with a "smart object" embedded in it. Enjoy!

Learn About: Vector Graphics | Raster Graphics | Pierre Bezier | Pablo Picasso

Try the Bezier Game


Visits as of Dec 6th, 2009: