Masters in Education, Classroom Instruction, conferred in Dec, 2010 Concordia University
email: abornemath(at)gmail.com

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

Message:
The all the information on the internet are like shifting sands. The purpose of this website is to make available digial resources and link that are in some way useful. 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!

Please help support my website by clicking on an advertisement. A click costs you nothing, and can really help out my rankings! Thank you! A shout out to Seth of Eagan!

Library

Library

Here you will find a collection of files in PDF, audio Mp3, and other formats. Some are saved articles, some are personal resources.

Review: This is a fantastic documentary about how math comes into our daily lives.

Donald Duck in Mathematic Land
Disney, 1955

An educational film shown in many public schools for many decades. Discusses music, tones, the golden ratio, games & geometry.

Infinity Minus Infinity is π

This is one of MANY videos of Mathologer. Every video from this guy is absolutely great.

The HP-12C Financial Calculator Introduction
April 2017

A recent video I made, it is under 5 minutes long. I made it to clearly explain how to use the financial registers for Time / Value / Money calculations. By the way, an online javascript version is available by clicking here.

Rotate Shapes Program
This program is for teaching and learning the concepts of polygon rotation on a plane. Input the coordinates, specify the rotation, this
program will do the rest. It will show you the resulting coordinates, and a graph of the pre-image and image. It can rotate any
degree measure and handle a shape up to 9 points. Download the program here.

Amortization
This program is for teaching and learning the concepts
around compound interest, borrowing money, and amortization. It generates lists of
how your monthly payment is divided into how much is paying off interest vs.
how much goes towards the principal, and much more! Download below.

Factoring Numbers Program
A short program written in TI-BASIC for the TI-84 and a program, also written
in BASIC for the TI-nspire, 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 TI-84, and the tns file is for TI-nspires.

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
${}_{n}C_{r}{p}^{r}{q}^{n-1}$?
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, (x_{1},y_{1})
and (x_{2},y_{2}). 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

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

→

geometry "Then" arrow or transform arrow

▱

geometry parallelogram

△

geometry triangle

≥

greater than or equal to

ALT-242

option <

≤

less than or equal to

ALT-243

option >

x̄

x-bar average or mean

p̂

p-hat proportion of a sample

ŷ

y-hat predicted outcome

Δ

Greek uppercase delta, change

Ω

Greek uppercase omega

ALT-234

option z

θ

Greek lowercase Theta

μ

Greek lowercase mu, stat mean, prefix micro

ALT-230

option m

σ

small sigma, standard deviation

ALT-229

χ

Greek lowercase chi, pronounced as "key"

π

Greek lower case pi

ALT-227

option p

₁

subscripted 1

₂

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

option shift +

∙

multiplication dot, bullet symbol

ALT-0149

option 8

∞

The lemniscate, (pronounced lem-nis-kit) or infinity symbol

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...

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.

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.

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.

A fully working HP-12c right on the web. Requires adobe flash in browser. 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.

Windows 7 tested. While this isn't great software, it's functional and is a fun way to try an implementation of the HP-12c's scientific cousin. When Hewlett Packard re-issued this beloved calculator as a limited edition around 2013, they included a CD-ROM with a computer emulation version. Trouble was, there was an issue with a failed serial number / registration mechanism. So, they started giving it away for free. Then for some reason the free version disappeared from it's server. Here it is, enjoy! You can also find it from Hewlett Packard as an App on iTunes, click here.

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!