Hi,

I'm a high school math teacher experimenting with getting kids to use SAGE.
My situation - high school math in a department that rigidly believes either
that

1.  graphing calculators provide sufficient technology for contemporary math
classrooms or that
2.  technology is something secondary to the mathematics itself - it might
be 'useful', but it's not what mathematics itself is about.

It has been extremely frustrating trying to communicate in this
environment.  Ideally my vision would be to create a computational analysis
kind of course where the kids would first learn how to articulate basic math
concepts in pure Python.  Things like the Euclidean Algorithm.  Simple
enough but important enough to focus on for good computational ways to
think.  Important - the point wouldn't be Python per se.  The point would be
computational thinking.  How can we analyze tasks or concepts?  Then show
them what they have access to in SAGE.  Wow.  There's absolutely no rational
reason at all why a course like that shouldn't be promoted.

Well, anyway, at the moment I've opted for a strategy to weave SAGE into the
curriculum as unobtrusively as possible.  I have been successful in getting
all my kids to open up SAGE notebook accounts.  I've decided to weave in the
use of SAGE as we work through our standard text.  I'm going to use SAGE as
my blackboard as often as possible, and I'm posting SAGE notebook worksheets
paralleling the examples in our text for the kids to experiment with.  It's
a weird balance - trying to introduce using Python or SAGE to kids who have
never associated that with 'math'.  Funny, their attitudes actually parallel
1 and 2 above.  It's such a weird culture.  But other kids are seeing that,
yeah, this really is pretty cool.  So I hope to build momentum from that.

So we are about to study interval notation.  I'm going to show them how
interval notation means something different in SAGE than it does in their
texts.  However, there's lots of ways they are related.

My question - the text expects them to express things like (1, 4) intersect
[2, 8] on a number line to produce the graph of [2, 4).  That kind of
stuff.  It will also ask them to solve and graph typical linear
inequalities, absolute value inequalties, etc.  Is there a way to easily
illustrate this in SAGE?

I was contemplating discussing something like an interval testing function.
But I also notice that testing something like

2.3 in [1 .. 3, step = .1]

produces False.  Issues like this can be a booby trap with already reluctant
learners.

Thanks for any advice,

Michel Paul



-- 
"Computer science is the new mathematics."

-- Dr. Christos Papadimitriou

--~--~---------~--~----~------------~-------~--~----~
You received this message because you are subscribed to the Google Groups 
"sage-edu" group.
To post to this group, send email to [email protected]
To unsubscribe from this group, send email to 
[email protected]
For more options, visit this group at 
http://groups.google.com/group/sage-edu?hl=en
-~----------~----~----~----~------~----~------~--~---

Reply via email to