0) If you go into a supermarket, you will typically see a number of checkout counters, one of which is labeled "Express Lane" for x packages or fewer. If you make observations on x, you'll find it varies a good deal. In my home town, the A&P allow 6 items; the Shop-Rite, 8; and Kings, 10. I've seen numbers vary from 5 to 15 across the country. If the numbers vary that much, then we obviously don't understand what the correct number should be. How many packages should be allowed in an express line? (Pollak, 1987, pp. 260-261)
1) Answers to the homework.
2) discussion of Lockhart's Lament.
"The difference between math and the other arts, such as music and painting, is that our culture does not recognize it as such. Everyone understands that poets, painters, and musicians create works of art, and are expressing themselves in word, image, and sound. In fact, our society is rather generous when it comes to creative expression; architects, chefs, and even television directors are considered to be working artists."
3)
defining what a logarithm is.
building a graph of a logarithm
rewriting exponential functions as logarithms
a logarithm is the exponent that we do not know!
solving those logarithms
use the problems we had for homework