The origins of your favorite symbol?

Every wonder about the origins of your favorite mathematical symbol?  Did someone find it under a rock?  Was it someone’s idea of a cruel joke?  Well, wonder no more.  Thanks to Douglas Weaver and Anthony D. Smith from Taperoo High School (Australia), you can now learn the origins of many of the mathematical world’s favorite symbols.

To begin the fun, click here:  http://www.roma.unisa.edu.au/07305/symbols.htm#Index

Need Help with Parallel Parking?

Are you 16 and learning how to drive?  Are you afraid of the torturous task of parallel parking?  Fear no more!  Now, Simon Blackburn, mathematics professor from the University of London has investigated the task of parallel parking.  And, thanks to him, you can now have a more complete understanding of the ‘joy’ of parallel parking, hopefully helping you to pass the test.

Read the paper here:  Perfect Parking

You are all very welcome!

I LOVE THE S.A.T.

Take a couple of deep breaths … if you are still reading this, then the good news is that this statement hasn’t caused a heart attack.  So, let me clarify what I love about the test.  Simply put, it is those gorgeous math questions.  Trust me, rarely do you see such beautiful questions anywhere else.

Like most people in love, however, there is something about “my significant other” that I wish I could change.  Put simply, I hate the time constraints.  How can anyone explore the depth and beauty of these problems if they are only given a half-hour to enjoy them?  You are forced to view these problems as if you are waiting in a cafeteria line, quickly moving from soup, to salad, to the main course, to the drink machine … what a shame!  I remember the first time I took the test.  I only finished about half of the problems because there was so much I wanted to explore that I just ran out of time.  So sad!

So, if I hate the time constraints but love the problems, then how do I make sense of it all? Simple.  I use the questions in the classroom.  Lucky students, I know!  But, all kidding aside, by using these problems in the classroom, I have the time to show them the beauty that I see.  And, truth be told, most of my students start to see things in a similar light.  In fact, it is not uncommon for me to use a single problem as a starting point for an entire class lecture.  Some of the problems are just that good!

For those of you who will be “enjoying” the SAT in the near future, I have a great link for you to check out.  The College Board (the entity who writes the SAT and therefore controls your fate) has a SAT Problem of the Day website for you to enjoy.  While it alternates between math and reading questions (sorry about those reading questions), it is nevertheless good practice.  In addition to the Problem of the Day, you can also find some useful links on the left side of the screen, including Practice and Review in math, reading and writing as well as a full practice test.

Best of luck.

111,111,111 times 111,111,111 = ?

Any answers?  Any guesses?  Want a hint?  The answer is a Palindromic number – a number that is the same written forwards or backwards.  (For example, 12321  and 1432341 are Palindromic numbers.)

So, try it and see what you get.  Enjoy!

The Fifth Postulate by Jason Socrates Bardi

I just finished a great book by Jason Socrates Bardi, called The Fifth Postulate.  It really is a “must-read” for anyone interested in trying to understand how mathematicians think (and geometry teachers looking to leave the realm of the textbook!).

For thousands of years, mathematicians have spent their careers trying to prove the Parallel Postulate, only to find out that all of their attempts have failed.  It took the genius of people like Gauss to think, “maybe the postulate doesn’t need to be true.”  With that thought (and a lot of work), we have the birth of non-Euclidean geometry.

The Fifth Postulate gives a great historical overview of the attempts to prove the Parallel Postulate as well as thought process leading to its eventual rejection.  It is an extremely entertaining read and has some great biographies of Gauss, Lobachevsky and Bolyai.  As with most math books written today, it keeps a “general interest” audience in mind and steers clear of the heavy-duty mathematics of non-Euclidean geometry.  However, it still gives the reader a good overview of the birth of this field.