[BUG] maps for vector calculus

[Martin Jackson]

At 11:04 PM -0700 4/30/04, Matthias Kawski wrote:
>Regarding "concept maps", I know them best as tools for assess-
>ment -- i.e. the learner creates / draws these along the way,
>or in an interview situation.
>
>However, I would like to contribute one very old chart that I have
>continued to use (this addresses one small corner of your concept
>map), but w/ logical (implication) arrows connecting theorems and
>definitions.
>
>http://math.la.asu.edu/~kawski/classes/mat272/vc/stokes/slides/irrot-pot.gif
>
>This is taken from a larger index that is still on the WWW....
>
>http://math.la.asu.edu/~kawski/classes/mat272/vc/VCslides.html
>In the navigation bar follow
>--> Vector fields
>--> Gradient fields & irrotational
>--> Relationships
>
>Matthias
>**********************************************************
>Matthias Kawski                http://math.asu.edu/~kawski
>Dept. of Mathematics and Statistics         kawski at asu.edu
>Arizona State University            office: (480) 965 3376
>Tempe, Arizona 85287-1804           home:   (480) 893 0107
>**********************************************************


Thanks for sharing this slide (and the others in this collection).  I 
very much like the idea of having students create or complete concept 
maps as a learning or assessment tool.   I need more tools for 
assessing conceptual understanding and this seems like a nice one.

After getting this message from Matthias, I finally recalled that I 
have long known about the concept map concept.  We schooled our 
children at home for two years (5th and 6th grades) and I used a lot 
of material from Critical Thinking (http://www.criticalthinking.com). 
This company publishes a lot of nice logic and reasoning puzzles and 
activities.  It also publishes two books on "Concept Maps for Life 
Sciences."  These consist of concept maps in various degrees of 
completion.  A student fills in the missing labels (objects or 
connecting phrases) usually from a list provided.  I plan to devise 
some activities of this sort for my classes.  Students at the college 
level can be expected to produce concept maps from scratch or to 
write their own connecting phrases rather than working from provided 
list.

Martin
-- 
Martin Jackson
Department of Mathematics and Computer Science
University of Puget Sound
Tacoma, WA 98416
(253) 879-3567
martinj at ups.edu