How to Find Free Images for Educational Use

1000px-Periodic_Table_of_Elements_showing_Electron_Shells_(2011_version).svgby Greg Robson, via Wikimedia. Creative Commons Attribution-ShareAlike.

Copyright Law and Images for Educational Use


Click any image in this post to see its source and open license information.

It’s not difficult to find images for your classroom and teaching materials while honoring copyright law. There are a number of ways to find free or open-license images on the Internet. While there is such a thing as the fair use of copyrighted images for educational use, this use is fairly restrictive and requires your time and effort to ensure you’ve complied. Unless a specific image you need is a copyrighted resource, your time may serve you better to search for free or properly licensed images. Here are three safe and easy ways to find an image you can be certain you have license to use. Continue reading

PDF Formula Sheet: Geometry–Coordinate Geometry, Shapes, and Solids

Distance Midpoint Formula

The distance formula & the midpoint formula

Looking for a shapes/solids or coordinate geometry formula PDF? You are in the right area, alright. Coordinate your studies with this high volume of formulas.

Three puns of that caliber in row and I’ve found the midpoint of self-loathing.

Geeze, I can’t stop. I’m on a downward…slope. Continue reading

Worked Examples in Math Ed: Theoretical and Empirical Support

WrongAnswer-isoIn preparing our Small Business Innovation Research (SBIR) proposal on the topic of developmental math games aimed at community college students, we’ve partnered with, and sought feedback from, several experts in math education, notably Dr. Michelle Chamberlin of the University of Wyoming. Dr. Chamberlin volunteered to write a short briefing on the theoretical and empirical support for worked example problems (click to see our first post on the topic).

What follows is Dr. Chamberlin’s sketch on the background of worked example problems, which she has kindly agreed to let us publish here.

Worked Example Problems: Theoretical and Empirical Support

by Michelle Chamberlin, Ph.D., Associate Professor, Department of Mathematics, University of Wyoming

Worked examples have a strong theoretical foundation in the field of cognitive science Continue reading

Dumber Nunchers, or Genetic Decline among Number Munchers Clones


Gums like your grandpa...I supposed he lost his teeth on too much hard math.

Where the action happens: at the intersection of DINOSAURS AND SPORTS. POW!

Number Munchers: Vanished About the Same Time as Dinosaurs; Yes, I Know I’m Getting Old.

“Munchers” was a series of educational games produced by MECC through the 80’s and 90’s. I passed through the digestive tract of elementary education just in time to catch classics like Number Munchers, and MECC’s more famous non-Muncher title, Oregon Trail, whenever my class took a privileged jaunt down the hall to the hi-tech and new-fangled Apple IIe computer lab.

Like anything that shaped a generation, Number Munchers is subject to copycats, whether motivated by nostalgia or by the desire to occupy the original product’s commercial niche. MECC–or the Learning Company, which acquired it–vanished from the face of the Earth in 1999, and who knows whose intellectual property that little green…uh…whatever-he-is…is. So a search for “Number Munchers” on the Internet, the App Store, or Google Play will return several…tributes, I guess we can call them if we want to be kind? If being kind bores you and you’d rather be honest, what we find is a handful of slightly-off trademark knock-offs, all of them as weak compared to the real thing as a Go-Bot was to a Transformer…I’m dating myself again aren’t I? Continue reading

Free Graphing Calculator (iOS App) by William Jockusch

Free Graphing Calculator screenshot 01

Free Graphing Calculator for iOS © William Jockusch. This screenshot is believed to be fair use because 1) it is low-res, and 2) it is used for the purpose of review.

One Free Calculator to Rule Them All

Developer William Jockusch describes his Free Graphing Calculator app with a bold claim: “Does far more than most of the paid calculators out there…let alone the free ones.” Given a few minutes to explore the app on an iPad, I was made a believer. The functionality and amount of data that have been put into Free Graphing Calculator are almost amazing.

To begin, we have access to almost everything a high school student or college undergrad would need in an expensive TI, but for free: basic calculator; graphing equations; linear, quadratic, and cubic equations solvers…But to stop there, that would be too easy.

The app includes a reference directory with categories for algebra, calculus, trigonometry, et cetera. It has most of the basic mathematical disciplines you could think of, with entries like “definition of a derivative” and “simplifying fractions.” There are also references for classical mechanics and logic.

Continue reading