Welcome to Andrew Borne's Math, Education & Technology Website
Andrew T. Borne
License #432313 for grades 512, Mathematics, Minnesota
Click here for online license verification
Masters in Education, Classroom Instruction
email: abornemath(at)gmail.com
PostBach Teaching
Concordia University, St. Paul 20102011
University of St. Catherine, St. Paul 2011
Message:
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 cloudstorage 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



Titles to be added:
Good Will Hunting
N is a Number
Donald Duck in Mathemagic Land
Nova: Fractals, the Hidden Dimension
Nova: The Great Math Mystery
Texas Instruments TI84 Plus Videos and Docs 
Check out my YouTube Channel! https://www.youtube.com/user/aborne

Factoring Numbers Program
A short program written in TIBASIC for the TI84 and a program, also written
in BASIC for the TInspire, will take a positive integer and output it's factors.
If the number is prime, then only 1 and the number will result in the output. The 8XP file is for TI84, and the tns file is for TInspires.



Transferring Files onto the TI84 Plus
A very short video that shows you how to transfer an .8xp file on to your TI84 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 MiniUSB cable you use with your Samsung Smartphone will NOT work). This will work fine with TI83 Plus but you will need a Silver Graphlink USB transfer cable.



Quadratic Equations on the TI84 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 TI84 Plus and TI83 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 TI84+ Color it is SLOW.
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.



Zscores and Percentiles
Studying zscores and/or percentiles? You want this program!
Compatible with TI84+ SE and the newer TI84+ SE Color.
This program will do three things: 1) find a zscore given mean, standard deviation and
the raw score, 2) find the zscores of a list and put them into another list for easy
viewing, and 3) find the zscore 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 builtin utility found on the TI84+, 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 TI84+ Silver Edition Color, and also on the TI84+ 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
${}_{n}C_{r}{p}^{r}{q}^{n1}$?
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 builtin APP found in the TI83+, TI84+ and the TI84 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, (x_{1},y_{1})
and (x_{2},y_{2}). This program and video are designed to help you learn
the basics of programming your TI84 calculator. Download the PDF and learn simple input/output and
computation.



Slider Demo
This TInspire 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
sliderdemo.tns  TInspire Document

Minnesota MCAII 11th Grade Questions & Explanations, Convering Questions 120
If you have iTunes, you can automatically subscribe by clicking below:
itpc://www.andyborne.com/podcasts/mca.xml
or, copy & paste this URL in: http://www.andyborne.com/podcasts/mca.xml
Media Type 
Description 
Date 
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 
AlKwarazmi, "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 
StepbyStep 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, noncomputer 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 MultimillionDollar 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 
PDF 
Greatest Math Discovery of all time? square root of 2 
Nov 2016 
Unicode Math Characters, copy & paste! 
These are not all the unicode math symbols, but these seems to be the ones most often needed!
Symbol 
Description 
Alt Code 
macOS keys 
≥ 
greater than or equal to 
ALT242 
option < 
≤ 
less than or equal to 
ALT243 
option > 
x̄ 
xbar average or mean 


p̂ 
phat proportion of a sample 


ŷ 
yhat predicted outcome 


Δ 
Greek uppercase delta, change 


Ω 
Greek uppercase omega 
ALT234 
option z 
θ 
Greek lowercase Theta 


μ 
Greek lowercase mu, stat mean, prefix micro 
ALT230 
option m 
σ 
small sigma, standard deviation 
ALT229 

χ 
Greek lowercase chi, pronounced as "key" 


π 
Greek lower case pi 
ALT227 
option p 
₁ 
subscripted 1 


₂ 
subscripted 2 


² 
squared, superscripted 2 
ALT0178 

³ 
cubed or superscripted 3 
ALT0179 

√ 
radical symbol or square root 
ALT8730 

½ 
onehalf, half symbol 
ALT0189 

¼ 
onequarter or onefourth symbol 
ALT0188 

± 
combined plusorminus 
ALT0177 
option shift + 
∙ 
multiplication dot, bullet symbol 
ALT0149 
option 8 
∞ 
infinity symbol 

option 5 
∠ 
angle symbol 


° 
degree symbol 
ALT248, 0176 
option 0 
≅ 
congruence symbol 


÷ 
obelus, or division symbol 
ALT246 
option / 
¢ 
cent, american money unit 
ALT0162 
option 4 
ø 
empty set 

option shift o 
∘ 
function composition, (f∘g) 


≈ 
approximately equal to 


≠ 
not equal to 

option = 
Quadratic Equation Solving Spreadsheet 
Printables, made by me, and free free free! 
Southpark "Math Is...Universal" Poster
For fans of the longrunning Comedy Central show Southpark, below is a recreation 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...

 
TI83 Plus Debugger & Instructions 
This is a .zip file containing the TI83 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. Studentfriendly. Works with Windows 95 thru Windows 10. 
Virtual TI v5 
This program does a great job of emulating the TI83 Plus and TI89. Tested with Windows 7. 
Vintage TI30 Simulator

While fully functional, this is more of a novelty/nostalgic item than a useful calculator. It is a simulation of the popular mid1970's scientific calculator from Texas Instruments. It recreates 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 TI83, TI84 Plus, and TI84 Color. Windows zip archive, as of March 2015.

HP 12c web emulator

A fully working HP12c 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 

Vector Graphic Sample
The graphic to the left was my attempt at vectorbased art. I attempted to copy
a rasterbased graphic, which was made of pixels, into a rasterbased 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:


