Saturday, July 08, 2023

Well Begun is Half Done

Aristotle’s admonition to make a good start on any journey counts doubly on difficult SAT/ACT math problems. 

Beginning is often half the battle, and almost anything you can do to get yourself going will probably be helpful.
 
This is sometimes easier said than done, but there are several things you can generally try. It's good to keep in mind a few tips to help grease the wheels when stuck at the beginning of a tough question.

Primary among these is to reread the question slowly and carefully, at half-speed. Many times, you’ll find you simply missed something, and can now solve the problem. Easy as that.

To get a feeling for what’s going on, experiment with simple, realistic numbers in place of unknown quantities. Let the cost of the sweatshirt be $20, for instance. Use that number in the problem, and see what happens. Based on what you learn, the solution may reveal itself.

You can try making up a “simpler similar problem.” Solve that simpler problem, and apply the same approach to the more complex one you’re tackling.

For multi-part questions, pick the easiest part, and work that out first. With such a “jump start,” you may find you’re able to make progress and find your way to the answer.

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

Saturday, July 01, 2023

Commercial Test Prep

Needless to say, when I graduated high school in 1975, it was an entirely different world.

With plenty of well-paying blue collar jobs available in the U.S., a college education was seen as an optional luxury, not at all a requirement to live a good middle-class life. I remember befriending a Golden Gate Bridge worker in the late-1980’s who was paid an annual salary of nearly $60,000 – $150,000 today – taking tolls!

Not many students used any kind of prep, though. I took the PSAT in high school, cold, no prep or pre-test studying at all, as a lark (and hit 98th percentile). But I never told the SAT (didn’t feel like wasting a Saturday morning). Most of my friends acted similarly. College just wasn’t a must-do, at the time.

Stanley Kaplan invented the modern test prep industry in 1939, and between 1940 and 1980 his company’s courses and books were essentially the only ones available to help interested students maximize scores on the standardized tests like the SAT.

Then along came the Princeton Review in the mid-1980’s, upending the entire educational testing scene. Despite protestations from the College Board and others, PR showed everyone just how easy it was to game these tests and quickly raise scores without doing much to improve nominal academic ability.

When I began tutoring professionally in the late 1970’s, test coaching wasn’t yet a thing. Following the huge success of PR, the test prep industry as we know it today was born. 

The test prep universe is vast. Companies old and new seem infinite in number. With the advent of distance learning on a mass scale during the Covid epidemic, this number has grown further.

It’s not easy to make a choice, nowadays, given the multitude of options. To aid in your search, listed below are my current favorites, based on my own long experience and most recent research on the subject: