Tuesday, May 20, 2014

It's hard to solve the triangle if you don't know what a "guy wire" is.

Happily all of my students currently studying trigonometry know that one would find a shadow on the ground, and all of them know how a kite works!  However, I did have to tell three students in a row what a "guy wire" is.

I'm not sure how we should be trying to address this problem.  On the one hand, we don't want a student who knows how to solve a triangle to miss the question because he doesn't know a non-math vocabulary word.  (And what about the ESL kids?) One solution might be to provide a labeled diagram with each question.  However, many would argue that being able to model the problem involves the student drawing his own diagram. Is there even a description of a guy wire that doesn't essentially tell the student how to draw the diagram?  And if we restrict ourselves to vocabulary that was used for examples in class, then how do we ever present a student with a novel problem?

The fact is that a word problem has to be about something.  And if the student has no experience with that "something" then it's a lot harder to work the problem.

(For more context, see this earlier post.)

Saturday, May 17, 2014

Another great punctuation review for the ACT!

Up until now my favorite ACT punctuation review was Barron's ACT 36.  However, I have another favorite!  I am in the process of reviewing Up Your Score ACT: The Underground Guide.  I haven't finished it, yet, so stay tuned for the full review. However, I have reached the punctuation review in chapter 4, and it's pretty good.  The ACT 36 review is more thorough, but the Up Your Score ACT review is funnier and easier to remember.

If you really struggle with punctuation questions, choose the Up Your Score review.  If you are trying to get those last few questions for a perfect English score, go with the ACT 36 review.

A while back I wrote a full review of Barron's ACT 36 which you can read here.  I recommended that you borrow a copy for the punctuation review rather than buy the whole thing.  

Monday, May 5, 2014

Cheating on the college entrance exams

My kid went off to a prestigious college. He came home for Christmas break convinced that he was one of the few people on the planet who didn’t cheat on his college entrance exams. Apparently, everyone there had a story about his cousin’s boyfriend’s sister who cheated on the exam by doing fill-in-the-cheating-method-here. Some of the stories sounded rather unlikely to me, but the news at the time was all about that kid in ….New York was it? …who made a gazillion dollars impersonating other students and taking their exams for them.

In May of 2013 I took the SAT II Math Level 2 exam and I assure you, none of the cheating techniques would have worked. That’s not to say they never work, but the cheating techniques I hear about all depend upon having a dishonest or incompetent proctor. How prevalent is that? I don’t know. I do know that if your testing strategy depends entirely on having a bad proctor, you are likely to run into trouble.

I was recently asked to review a book entitled SAT SNEAK ATTACK: How Computer Geniuses Hack, Beat and Cheat America's Most Feared Exam by Peter Wayner. At 33 pages, it would make a better magazine or newspaper article than it does a book. The gist of it is this: 1. Poor pay causes the proctors to do a bad job. (There are no statistics on the percent of proctors doing a bad job, but since they are all paid poorly I suppose we are supposed to assume that they all are therefore doing a bad job.) 2. Because the proctors are not paying attention you can hide helpful information in your calculator, such as a dictionary. (Having your calculator out at all during the verbal sections is forbidden, so this requires a very inattentive proctor.) 3. You can also hide a program that helps solve math problems, although, based on the description, it sounded to me like this particular help would only be useful for students who would otherwise score very low in the math section. 4. Large numbers of students are cheating using this method. (Again, no actual statistics. This is based on anecdotes from college students.) 5. The author personally alerted the ETS to this egregious problem and they metaphorically rolled their eyes. 6. This means that the math help program is apparently “legal” and any test-taker would be stupid not to avail himself of this advantage.

The SAT was designed in such a way that you do not need a calculator AT ALL. You are allowed to use a calculator because too many high school students think they can’t do math without one, and because they aren’t really testing you on arithmetic anyway. The top test-takers know that using your calculator as little as possible will actually help you go faster in the math section. Spending time and money downloading some program that will solve triangles for you is pretty silly. The triangles on the SAT can nearly always be solved in your head. In the time it would take to practice using the program, you could just practice the math in the first place. But I guess then you wouldn’t have a fun anecdote about how you cheated the SAT.