The Negative of a Math Photo

January 13, 2017

This beautiful example of single point perspective is printed as a negative image digitally.  The concept of a negative in math can be related to negative in photography if we think of it in terms of “opposite.”  This could be a teaching aid.



When “Big Data” gets it wrong

January 4, 2017

Big Data could provide a big advantage to investors, but when the data is wrong or misinterpreted, it can be catastrophic.

“Credit card data sold to investors is making shares of retailers behave strangely, especially when the data gets things wrong.”  So begins an article in the Wall Street Journal ‘Big Data Adds Up to Trading Distortions.’  The first example is about Tailored Brands (owner of Men’s Warehouse and Joseph A. Bank) stock that shot up nearly 40% in one day when investors realized that the data they were basing their decisions on was inaccurate.

For the full article:  how-credit-card-data-might-be-distorting-retail-stocks-wsj

Math in Architechture

December 26, 2016

The U. S. Air Force Academy Chapel in Colorado Springs  is an example of a very mathematical theme in architecture.  Symmetry, geometry along with the theme of jet aircraft.


Statistics on the Ti-84 and Ti-86 calculators

November 11, 2016

The following document shows how to enter and edit data on the Ti-84 and Ti-86 calculators and how to do some basic statistics with the data.  More documents on this topic to follow.  This is an ideal handout for teacher to stats students.


Movie Geometry – shaping the way you feel

November 1, 2016

Movie directors use shapes as well as color, lighting and sound to create moods and tell stories.  Triangles, circles, and squares are loaded with feelings.  This short YouTube video (4 min.) describes some of the common uses of shapes to communicate with the audience beyond the conscious into the unconscious.

Once you are made aware, you will notice the use of shapes in movies to convey more than words can say.

The Nobel Prize in Physics Awarded

October 6, 2016

The following two paragraphs are quotes from a fascinating article about how 3 physicists “playing” with math stumbled upon a remarkable and practical finding.  The link to the whole article follows the quotes.

“A trio of British-born researchers working in the U.S. won the Nobel Prize in physics for what one of them called a curious mathematical “toy” that to his surprise revolutionized the study of exotic matter suitable for quantum computers, new superconductors, and advanced designer materials.”

” “At the time, I thought it was of scientific interest and mathematical interest, but I didn’t think it would ever find a particular realization,” said Princeton University physicist F. Duncan M. Haldane, who shared the award for theoretical experiments he had conducted in the 1980s. “I basically stumbled on this playing with mathematics.” ”

For the whole article go to:


20% error rate found in study of published genetics research papers

September 13, 2016

In a recent study 20% of genetics research papers using Microsoft Excel have been found to have data errors due to improper data entry.  It turns out that gene names such as SEPT2 and MARCH1 (these are actual gene name abbreviations used by scientists) get converted to dates by Excel and then result in rejected data.  The problem is resolvable if the scientists would make sure the data cells were formatted as “Text,” prior to entering the data.

For the full article in the Washington Post click on the link below.

Single Point Perspective Photo– Congressional Office Building

August 4, 2016

Congressional Office Building

This picture was taken in a hall of the Cannon House Office Building where Representatives in Congress have their offices.  The building was completed in 1908.

It is a good example of single point perspective, also known as one point perspective.  For more on this subject, which overlaps math and art, go to:

One Point Perspective Drawing: The Ultimate Guide

Deficit v. Debt – knowing the diference

July 21, 2016
In simple terms, a budget deficit is the difference between what the federal government spends (called outlays) and what it takes in (called revenue or receipts). The national debt, also known as the public debt, is the result of the federal government borrowing money to cover years and years of budget deficits.

What’s the difference between the U.S. deficit and the national debt …

Early Bedtime May Fight Fat

July 19, 2016

Scientists studying sleep time of preschoolers and obesity in teenages have observed some interesting correlations, but they are not conclusively cause and effect.  As reported in the New York Times, July 19, 2016.

Early Bedtime May Fight Fat NYT 7_19_16