Wednesday, August 01, 2018

The Matchless Enthusiasm of Martin Gardner

The hyper-competitive struggle for survival against the old Soviet Union made American math and science education a top priority during the Cold War decades of the 20th century.

Many Baby Boomers (like me) remember with fondness the fascinating articles published monthly in Scientific American magazine. One of the most interesting features of the magazine in our time was Martin Gardner’s column on recreational mathematics, which ran for 25 years. 

Among the many necessary qualities of truly great teachers, enthusiasm might be listed first. An instructor’s genuine, overflowing enthusiasm is that which excites students' souls and convinces them that the required academic work and sacrifice will be amply rewarded. The etymology of the word “enthusiasm” (en-theos: literally, "in God") points straight at the Divine, and no one could excite the soul with the beauty of mathematics like Gardner could.

A 1998 article by the master preserves for modern readers the flavor of Gardner’s contagious enthusiasm and gold-medal exposition that so characterized his column, presenting to Gardner fans and neophytes alike the pure noetic joy that accompanies deep dives into the realm of creative mathematics.

Reflecting the timelessness of the subject, the article reads as if it were penned yesterday, fresh and new. It’s not long, and is well worth a bit of your time:

A Quarter-Century of Recreational Mathematics.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Sunday, July 01, 2018

Calculator Policies: SAT and ACT

SAT and ACT policies regulate the types and models of calculators allowed for use in solving math problems on standardized tests administered by each organization.

For a while, the SAT had a more or less unrestricted calculator policy whereas the ACT had a tightly controlled one, allowing only those user-installed programs comprising 25 or fewer lines of code. Aside from being unduly onerous, the old ACT policy was obviously unenforceable, and has recently been changed to essentially match the unrestricted SAT rule.

In a nutshell, here's what you need to know:

All features, apps, and user-installed programs are permitted for use, without restriction, on any model of the Ti-84 graphing calculator family (including the powerful Ti-84 Plus CE model) on the SAT, the SAT Math Subject Test (Levels 1, 2), and the ACT.

Below are links to current policies:

SAT Calculator Policy (updated: 2023)

ACT Calculator Policy (updated: 2023)

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Friday, June 01, 2018

Fractal Coloring Book

Adult coloring books have become popular in recent years. A number have been published already, and more are finding there was to amazon all the time. Below are my favorites:

Coloring Mandalas for Meditation was a hit with my daughter and her friends at Wesleyan who needed to periodically take a break from the stress of studying.

Adult Coloring Book: Fractals by Ben Trube not only offers beautiful fractal designs to color, but also provides a visceral experience with fractals and the math behind them.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Tuesday, May 01, 2018

The Game of LIFE

John Conway's 1970 coding masterpiece mimics life's basic processes in an utterly simple yet strikingly lifelike way. 

Conway's Game of Life quickly became a sensation, inspiring a cult following among mathematicians and programmers. 

Seed shapes are born, live, reproduce, and die. In the process, fascinating animated patterns and "social" interactions occur on the computer screen. Beginning with a seed created by the user, a mesmerizing drama unfolds. Sometimes these living worlds expire in a moments, seconds, or minutes; others continue for eternity.

Research into Conway's game is ongoing and extensive. Could life itself be this simple? Why not?

Create virtual life! Experiment with The Game of Life here. FAQ here. Stanford discussion here. LifeWiki:About here.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Sunday, April 01, 2018

Official GRE Prep Materials

Official materials produced by test makers form the backbone of successful standardized test prep efforts.

The GRE is produced by Educational Testing Service (ETS), ETS offers several useful tools for those preparing to take the GRE. These materials are linked below.