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Topic: Beginning this year
Replies: 0

 eddins@imsa.edu Posts: 14 Registered: 12/6/04
Beginning this year
Posted: Sep 12, 1996 11:27 AM

To all my list-mates,

I am a bit hesitant to include this on so public a venue as I feel
shakey sometimes about my own statistics background. I do so because after
two affirming experiences this summer in AP Stat workshops I think I am at
least on the right track. I would appreciate (and welcome, I think)
suggestions or feedback.
Heretofore my descriptions have been shared with another member on
the list who, like me, is teaching the course for only a semester. I meet
my students twice each week for 70 minutes each time. Our student body is
from a gifted population, but most of the students in my Data Analysis
class have not been terribly successful at our core math program and/or
have gotten somewhat turned off to the rigor it requires.

Here goes (the following is a copy of the note I recently sent to Lisa). I
apologize in advance for its length and wandering style.

-----------------
Lisa,
I am working through and trying to write down the syllabus I have
developed over the past few years. Unfortunately it is not in useable
shape at the moment. I will give you the basic outline.

I begin with a critiques of some data-based articles and reports and get
student oral feedback on their strengths, weaknesses, sources, etc.

Students read and do problems from David Freedman's Statistics book
chapters 1 and 2 - this is a great source for conceptual questions but is
hard for the kids. I use a technique whereby they can critiques one
another's answers for 10 minutes before turning theirs in. They can
incorporate any suggestions or changes they want. These two chapters do a
great job of hitting the key points of good experiments and observational
studies. The questions force the kids to analyze the reading.

Students must take a current topic in school (block scheduling, new inquiry
day we just instituted, changing graduation requirements - any topic in
their world - and, with a partner, describe an experiment or observational
study they would set up to test its effectiveness. They must show me
through their design that they have taken into account all the good
practice things dealt with in their reading either by incorporating them or
by explaining why they did/could not do so.

I have shown the COMAP video #4, segments 18 and 19 on census and survey
data gathering. I could have done the Freedman stuff through the video as
well but wanted to vary the presentation style.

A colleague in our research department came yesterday to talk with the
students about his experience with our longitudinal study. He has done
this for me before so has a set of "bad" questions he asks the students to
critique and edit. He talks about good survey design.

Students are now writing their own questions. My first major project is
for pairs of students to determine who, in the class, is the Most Average.
As they work on this, they will have written survey questions, taken
(appropriate) body measurements, and in general found out a bunch of stuff
about their peers. Turns out the Sept. 6-8 USA Today (weekend edition) has
a survey of teens that I hope to use. I build in some measurements (e.g.
"foot area") that are likely to have a variety of interpretations in the
hopes that some pairs of students will decide the variability is too great
to use it (lack of validity). I have some pairs of measurements (e.g.
height and armspan) that would be effectively used as a ratio (the most
"square" person might be more average). I make sure that categorical,
count and measurement data are included and I make sure we gather alot of
it so that choices are necessary.

Along with revising the questionnaire and gathering the data students are
learning about exploratory data analysis (measures of central tendency,
measures of dispersion, various kinds of plots, five number summary,
standardized scores etc.). I will use some data sets from Workshop
Statistics for this I expect. I "teach" this still stuff through a
technique called "jigsaw" where students form groups of 3 (or 4) and send a
representative to each of three "expert" groups to learn either central
tendency, dispersion, or graphs (I might also include standardized scores).
They then return to teach their "home" groups these ideas and turn in a
"home group quiz." I expect students to use all of these techniques in
coming up with their Ms/Mr Most Average. This project is fun to do, some
of the items are a bit wacky, but the project as a whole usually gets good
results.

In past years I have had students do oral presentations with a rubric
(generally class developed that stresses presentation skillls and content
understanding). I have 22 students this year and am going to try a "poster
but my idea is that we will save some time. I think I will have the
students rank all 11 posters (privately) and make some comments as to why
just have them rank the top 4 or 5 so no one gets hurt badly.

I then move into bivariate data, regression and median fit lines and some
discussion of correlation - this has been a weak area for me in the past so
I am still trying to figure out what form this part will take.

Probability through conditional probability is next. I have an interesting
look at tree diagrams and an application to the effectiveness of a test for

I use the Johnson and Johnson Statistics text and COMAP Statistics video #5
for the foundation and assignments on confidence intervals and the normal
distribution. Don't know whether I will continue to use that book this
fall. Then I close with as much of inferential statistics as I can do.
Usually
student t, chi square, f test and paired t. I may include the Mann-Witney
non-parametric test this term because it is a favorite of a colleague of
mine in science (he claims that is all he sees in the literature), and I
think he has finally taught it to me well enough for me to use and teach.

I have good students, though many of them are not near the top of OUR
population. I have made the test optional. They have the syllabus and we
are checking off those things we are covering in the course. I have
commited to them that I will help them with the "left overs" if they want
to try the test. I expect some will choose to take it. I am sure there
will be left overs but hope that if I stress the conceptual ideas they will
not be too hard for the kids to get on their own or with my help.

Hope these ramblings are useful. Let's keep talking. One think I have
found are some teaching "tricks" for telescoping the topics (like the
jigsaw). I am still working on making my assessments rigorous enough to
push the students into deep learning.

One thing I do is to require a journal of sorts. Students must make 2
entries each week. One must be reflective about something we did in class
that week. The other must be about some data they have encountered outside
of class (sports teams, newspaper, science class, anything). I grade it 2
points per entry - 1 point for having it, 1 point if it is "reflective." I
have found that this activity makes students connect much more to what they
are learning.

---------------
Hope this is helpful (to me for feedback as well as others).

Sue Eddins

Sue Eddins
Illinois Mathematics