A Note to Math 124 Instructors
Based on feedback from the 2001-02 year, we have listed
comments related to our "reformed" Math 124. As
course instructor, you are free to modify this somewhat.
However, please keep in mind that there will be a common
final exam jointly written by all the instructors. For
that reason, everyone needs to cover the core
topics in the course. If you follow the default syllabus,
worksheets and homework, you will automatically
cover these core topics.
Course Organization
There are several parts to our calculus reform effort, all of
which are highlighted below. In addition,
one theme is an effort to create
a more uniform experience for the students.
This is tricky. We want to leave
flexibility for individual instructors to tailor the
course to their style. At the other end of the
spectrum,
our students want strict uniformity from
section to section; they
talk to one another and are often unhappy if
their instructor is perceived as teaching a "harder course"
or an "easier course", given that everyone takes the same
final exam.
Just about everyone agrees that
we do not want a rigid system, but
a template
for the course that leaves room for variation
seems like a reasonable
compromise. A discussion of this template follows:
- Course website: The website homepage
for Math 124 is
http://www.math.washington.edu/~m124/
This is
the key resource for the course. All course materials
(worksheets, homework
and old archived exams) are accessible through here.
These days, our students are very web saavy and
in-class surveys indicated they highly value this
resource. YES, students have access to this site.
- Instructor weekly meetings: All
course instructors will meet
each week as a group. One purpose is to give
the Math 124 coordinator feedback
on the course, so it can be modified and finetuned. This
feedback was invaluable when revising the materials for
2002-03. Another purpose is to make sure everyone is
covering the same major topics. It also gives new calculus
instructors a forum where they can easily get advice
on teaching the course. Finally, the last major
purpose is to create the
common final exam. In most cases, we can
wrap up our meeting in well under one hour. Probably
the only exception is the meeting where we make final
decisions on the final exam, which tends to run a bit
long.
We are all busy and the coordinator will not hesitate
to end the meeting quickly and early if there is nothing to discuss.
- Core topics: You can see the core topics by
going to
http://www.math.washington.edu/~m124/
and reading the right-hand column. The only new topic
from last year
is parametrized motion. Many instructors
felt it needed to be added back into the course
as a rich
source of examples. Perhaps more importantly,
it is being added back into the course
to better prepare students for our Math 126/324, where
parametrized curves and surfaces in 3-space
arise. Each weekly homework
assignment has a a few problems on parametric equations.
We tried to create non-exotic examples that get at
the basic ideas. The textbook section 10.1 serves
as an introduction to parametric equations. Alternatively,
two handouts are
available to the students as links in the outlines for (weeks 2 and 3) on
the course homepage. The two handouts cover
parametric equations and
linear motion.
There are additional weblinked
readings
available on
sinusoidal
functions (week 1) and
exponential
modeling (week 2).
- Common final exam: There
will be a common
final exam jointly written by all the instructors. For
that reason alone, everyone needs to cover the core
topics in the course. One benefit of the course website
and our weekly meetings
is that this is easily achieved.
- Weekly homework: From the course homepage, click on
a given outline, eg. "Outline 1". You will then be taken
to a page from which the weekly worksheet and homework
assignment can be accessed. The homework link lists
all problems in the text assigned, plus some supplementary
problems. You are free to modify this, but the default would
be to simply use this, as is. If you do modify this, it is important
to maintain the flavor of the course: both routine and
multistep problem solving skills are expected on each homework
assignment. As the course progresses, there are more good
multistep problems in the text to draw upon.
Students can go to the course website
to download homework or you can have them handed out;
it is up to you.
In summary, as far as homework is concerned, the default mode
requires
that you do nothing beyond pointing your students toward
the appropriate website links.
- Uniform weekly worksheets:
The single biggest problem during last year was the student
experience with worksheets. We have taken steps to correct this.
One key change is ongoing TA training to help TA's handle
group work and facilitation of a worksheet. This will involve
no work on your part, but you should be aware your TA's
are getting significant
additional help on this front.
Secondly, we have imposed uniformity:
during weeks 1,2,3,5,6,7,9
there is a specified worksheet. There is no choice to
be made on your part; i.e. you do not need to do anything.
These worksheets are accessed from the course homepage by
going to the weekly outline and then the link for the worksheet.
If you have strong
feelings about not using the provided
worksheet and wish to use your own, then please
make sure you provide your students with the same sorts of
resources (solutions) and TA training (meet with your
TA's to go over the solutions to the worksheet and
carefully explain how the worksheet should be facilitated).
In summary, as far as worksheets are concerned, the default mode
requires
that you do nothing.
- TA section format:
You need to instruct your TA on the format you prefer
for running section. This involves two parts. First, during
the 80 minute section, the worksheet will use up 45-50 minutes.
What do you want the TA to do
with the remaining time? Do you want the TA to handle
questions before or after the worksheet? During the other TA
section day, do you want questions before or after the quiz
(if there is a quiz)? Do you ever want the TA to let students
go early? (We highly discourage this, especially on
the 80 minute section day. Part of the point of this setting
is to force students to do mathematics for an extended period
of time. Some faculty who
acted as TA's last year felt their students learned the
most during this session.)
- Worksheet solutions: There are solutions for
worksheets available at this link:
http://www.math.washington.edu/~m124/instructorindex.html. One
solution is intended for the students (once they have done
the worksheet); the other solution is for the TA and includes
comments to help facilitate the worksheet.
This link is NOT provided to the students in the course.
- Midterms: Instructors
typically give two midterms;
weeks 4 and 8. These should be given
in TA section during the long
80 minute TA section. The idea is to write a 60 minute exam,
but give them 80 minutes and eliminate time pressure. The
time pressure complaint never occured last year.
- Calculators on the final exam: The policy has varied from year to year and
quarter
to quarter. We will agree upon a policy by the
end of the first week
of the quarter; this gives the instructors a chance to
meet as a group and agree as a group. Students will need a
scientific calculator to do the homework.
- Notes on the final exam: As with calculators, the
policy will be decided by the
end of the first week
of the quarter.
Course Tips
These comments are based on feedback I got last year;
feel free to ignore as you wish:
- It is important to continuously align our expectations
with student expectations.
- Students want to feel various components of the course
contribute to learning. For them, this means
seeing topics from a worksheet
or homework appear on a quiz or midterm.
- Students want credit for putting in their time on the
worksheets. Most instructors made the worksheet day a component
of the grade. For example, you might have the ta collect the
sheets at the end of class and give one of three possible scores:
0 (if they did nothing or didn't attend), 1 (if they left early
or did little), 2 (if they made an honest effort). The intention
would be that everyone who comes and stays 80 minutes and trys
will get 2 pts. You then make the sum total some fraction of
the grade, maybe 5-10%. Other instructors made the worksheet
a component of the homework grade.
- As instructor, it is important to continually comment on
how various components of the course tie together. For
example, you might refer back to a particular worksheet. One
place I always do this has to do with tangent lines to circles.
They do this on worksheet #1 using geometry. I then redo it
using the chain rule and redo it again using implicit differentiation.
- Students often commented they want to see both easy and
challenging problems worked in lecture; not just the easy ones.
- It is up to you to decide about quizzes. Some instructors
give them weekly, others less often.
- The first 1.5 weeks is a precalculus review. There is no
way to cover all this in lecture. Precalculus is a prerequisite
for the course, so you should just pick and choose problems you
like to do and leave the rest to the homework.