Welcome back,
Our last meeting of the year will be Thursday, April 11, at St. Stephen's
and St. Agnes upper school, the old St. Stephen's campus. We will discuss
what happened to rigor and whether we can get it back, and also some
administrative details regarding next year's calendar. Please email me or
our host, Doug Adams, if you need directions.
The ISMAW web site is finally up and running again! after a year of
dormancy. I apologize for my inability to adjust to the post-16 bit
world. You can access information about math meets and our meetings at
mathteachingtoday.com/ismaw.htm Also on the site is a proposed calendar
for next year. Feel free to examine this proposed calendar and come to our
next meeting with suggestions.
At our last meeting, Steve Leinwand of the NCTM gave us a wonderfully
impassioned talk regarding how we teach and not so much what we teach. His
talk was entitled "Less a Matter of Curriculum Change, More a Matter of
Instructional Shifts." I have copies of Steve's hand-out
if you would like one, although much of the content of our discussion was not in
the hand-out. I have a few notes from Steve's talk, which follow.
Steve began by comparing typical Japanese instruction, where apparently
there is more emphasis on understanding, with that of American and German
instruction, where skill acquisition is emphasized. (Details of the two
types of instruction are on one of the pages of Steve's hand-out.) We need
a balance between the two approaches.
Sample discussion problem: Is 1000 square inches of skin enough to be
grafted over a body "covered head to toe" with burns? How did you
calculate the number of square inches necessary? What other factors need
to be included in the discussion?
There was also a page on Steve's hand-out that further discussed the
skills vs. problem solving issue, which segues into the topic of mathematical
literacy as an issue of economic empowerment. Steve included in the
hand-out an article by Alan H. Schoenfeld, "Making Mathematics Work for All
Children: Issues of Standards, Testing, and Equity"
Steve compared the long division problem, 1.59 into 10, with the question,
"Big Macs cost $1.59. How many can I buy with ten dollars?" Also,
how would you explain to a grocery clerk that 1 and 3/4 pounds is not 1.34
pounds? Also, the problem 16*.75^x = 1 was compared with: "You
ingest 16 mg of a drug, and you lose 25% of it from your bloodstream every
hour. Will you pass the drug test requiring no more than the presence of 1
mg?"
All in all, it was the kind of inspirational talk that we enjoy having gone
out of our way for, and I apologize for these scanty notes not doing the talk
justice. Thanks, Steve!