Excelets are Graph Movies
Currently this site contains Excelets for teaching
microeconomics: Principles, Intermediate, and perhaps beyond.
These Excelets are designed to illustrate core concepts. Much
microeconomics at this level deals with comparative statics.
A good student will work exercises with pencil and paper that involve
setting up a model and either drawing the appropriate diagram to analyze
that model or working through equations to do likewise.
Unfortunately, many of our students, at least the students I see in my
classes, don't have the wherewithal to perform this sort of
analysis. They need some help. The Excelets allow greater visualization of
the concepts than can be achieved in a text based world.
Visualization is obtained through animation of the comparative statics
results. Students can view little graph movies by holding down
control buttons that allow the the students to determine key parameter
values. The Excelets also promote Inquiry
Based Learning by allowing students to ask "what if"
questions and then being able to answer those within the context of the
model. "What if I raise the tax? What happens to the amount
traded in the market?" The traditional approach places
demands on the students to go through (to them) an elaborate
procedure to answer the question. With the Excelets the response
is more immediate and that facilitates students going on to the next
question.
Main Use Out-of-Class; Secondary Use for
Presentations in Smart Classrooms
For those teaching in smart classrooms with computer
and projection equipment, the Excelets can be used in presentation mode
as means of illustration. The intent in their design, however, was
for Excelets to be used by students out of class, as they work to
understand the material. In order for this to be effective there
needs to be exercises to accompany the Excelets. Such exercises
must be assigned for course credit. An exercise helps the student
focus on what to look at when considering a particular graphical
situation by giving the student a problem that needs to be addressed,
allowing the student to view the Excelet as a tool for solving the
problem. I have decided to keep such exercises separate from the
Excelets. Some of these exercises will be used in lab mode where
the students can be instructed while they are sitting at the
computer. Also, I am in the process of constructing exercises that
can be automatically evaluated by either Blackboard or WebCT
(course management systems we support at UIUC). A very
nice site created by
Byron Brown at Michigan State has the entire package in an
integrated form.
Visualization without Programming
Two reasons for the Excelets page are first to keep
the focus squarely on the visualization of concepts and second to do
this with essentially no programming at all. My hope is that
others (both economists and faculty in other disciplines where
illustrating quantitative relationships is important for learning) will
construct their own Excelets. To achieve that end the Excelets
must obviously help students understand concepts and the Excelets must
be easy to make at a technical level. Regarding the latter, the
only technical requirement is a basic knowledge of
Excel.
What works visually to communicate the concept?
I also hope with this site to encourage practitioners
such as myself to explore issues of effective ways to illustrate
concepts and to gather experience about what works and what doesn't in
designing this type of visual material. For example, consider the
module on the consumer optimum. There I made a point of identifying all
tangency points between constraints and indifference curves as
particles. I believe that when students play a graph movie on the
consumer optimum, their eyes follow the motion of the particle and at
least in part abstract from the other data in the diagram. Is that what
we want for illustrative purposes? I am not sure. I do know
that is the sort of question we should be asking. There are, of
course, more fundamental issues: what to illustrate and what to ignore,
what determines a good visual representation of an idea, and when should
students be forced to make their own visual aids rather than rely on the
ones we provide? Perhaps the educational psychologists know the
answers to these questions. (Toward a Theory of Instruction,
(1974) J.S. Bruner has some nice examples of good and less good ways to
visualize concepts.) But we don't have that
knowledge. And we are not likely to learn the answers by reading
the research literature (though that certainly would help inform our
thinking). Because the answers are likely to be highly situation
dependent, we need to design some of these and try them out in our own
teaching and see what works and where there are problems.
Excel - an ordinary, commonly used tool
Why Excel? Why not Mathematica, Matlab, or some
statistical software? Here at UIUC the Economics department is in
the College of Commerce and Excel is the tool of choice. So here
it is a no brainer. What about elsewhere? My belief is that
MS Office has made sufficient penetration that we are, in essence,
locked into that set of tools, like it or not. Especially for
faculty who have yet to seriously use technology in their teaching,
showing the teaching benefits from tools they are familiar with from
other contexts is a powerful way to encourage diffusion. We have
already gone through this with PowerPoint. Faculty who have had to
make short presentations at conferences learned to use the tool for that
purpose. Bringing that into the classroom was no great leap.
I believe Excel is next. It has the same markings. Then,
too, the students need to know Excel. If we're locked in, so are
they. The alternative is not for them to learn something
better. The alternative is for them to fall behind their peers for
lack of knowledge of a core tool that has become the standard in the
business world. We have an obligation to provide students with
meaningful content in Excel, so they gain familiarity with the
tool. Almost certainly, if they have a computer of recent vintage
Excel is loaded on it.
Releasing Potential
What does using Excel buy us? At its core, Excel
is a tool that enables recursion and recursive analysis. A good
deal of economic dynamics is fundamentally recursion. Excel allows
us to introduce dynamic economic models into the Principles
course. Here it has the potential of completely changing the
curriculum, by bringing in much greater realism early on and more strongly
tying the models to reality. My hope is that as we learn to create
visualization with this tool, we also learn to bring in dynamic
elements.
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