Math 302 Activities for
Dropping Homework Grades, Fall 2001
You can earn the right to drop your lowest one or two homework grades.
To drop each grade, you need to do one of the following activities.
(Note that it doesn't matter when you do the activity: your lowest
grade from the whole semester will be dropped.)
For the purpose of record-keeping, send email to your instructor after
you have completed any of the activities and before the next class.
The deadline for completing any of these activities is one week before
the last day of classes.
Please note that there is no way to drop more
than two homework grades!
Attend any two mathematics talks from the
After attending, and before the next class meeting, send a note to your
instructor. You will be asked to say a few words about the talk in
class, but you don't need to write anything about it.
Note that you should not expect to understand everything in
the talk you go to (nobody does) but you should at least try to understand
the main idea of the talk. The department posts a
schedule of talks.
Find and read an article related to geometry in the mathematics journal
The American Mathematical Monthly
and write a paragraph or two about it.
You will also be asked to say a few words about it in class.
With prior approval from your instructor, you can choose an article from another
journal, for example a journal in mathematics education.
Crochet or knit a hyperbolic plane. Instructions can be found in your textbook.
If you choose this option, you will be asked to bring in your hyperbolic
plane to class from time to time. However, you should find that having
your own model makes it much easier to answer some of the problems we will
ask in this course. If you plan to do this, it will be most useful
to do it near the beginning of the semester. (There are probably
other construction methods that, unlike paper, will result in sturdy and
permanent models; if you have another idea for constructing a sturdy model,
please talk to us about it.)
Write a short story about life in hyperbolic space. This should be
about five pages in length. For inspiration, you may want to look
at the books Flatland: A Romance of many Dimensions by Edwin
Abbott and Geometry, Relativity and the Fourth Dimension
by Rudolf Rucker.
Write a lesson plan related to
some of the material that you have learned
in this course. This should include
- Geometric Potpourri Seminar - most Tuesdays at 2pm in
241 Altgeld Hall. (This seminar is especially recommended.)
- Mathematics in Science and
Society , some Tuesdays at 4pm in 245 Altgeld Hall or 314 Altgeld Hall.
- Math 400
-- Introduction to Graduate Mathematics,
most Mondays at 4pm in 245 Altgeld Hall.
- Other mathematics talks, with prior approval from the instructor.
A reasonable length should be a page or two.
Read a chapter in a Geometry book for high school students. Write a one
to two page essay comparing and contrasting it to what we have learned
in this class.
Work through a section from the book that we will not cover in class.
This includes all of chapters 12-14 and 17-22.
It also includes sections 11.2-7, 15.4 and 16.5-6.
Think of something mathematical to do that interests you! But be sure
to get prior approval.
The grade and level of the students. (The grade can be anywhere from preschool
to 12th grade, and the level can be anywhere from special education to
a project for just the few most gifted students.) You should also mention
prerequisites, if there are any.
- Materials needed, if any.
- The objective of the lesson, that is, what you hope the students will be
able to accomplish by the end of the lesson.
- The plan for what you will actually do in the lesson. This should include
estimated time, the method(s) of instruction that you will use, and what
techniques you would use to analyze the students' understanding.