Math 409 (Geometry for Secondary and Middle School Teachers)
- Review session: Monday 5/11, 3:30-5:00, Snow 152
- Office hours: Tuesday 5/12, 1:00-3:00, Snow 541
- Final exam: Wednesday 5/13, 1:30-4:00, Snow 152
Basic Information |
Required Materials |
Homework Problems |
Midterm and Final Exam Information |
More Resources |
All students enrolled in Math 409 should also be enrolled simultaneously in Math 410 (Mathematics History for Secondary and Middle
- KU course line number: 59445
Prof. Jeremy Martin
541 Snow, 864-7114
- Office hours: Monday 1--2, Thursday 11--12, or by appointment
- Syllabus (1/15/09, 11:00 AM)
- Meeting times: Tue/Thu, 1:00-1:50 PM, 152 Snow
- Prerequisites: Math 122
- Complete list of homework problems (4/30/09)
Each student should purchase a copy of The Geometer's Sketchpad (student edition), available from
Key Curriculum Press for approximately $40.
You may also want to try Amazon
or other online vendors.
The main textbook (which we won't follow too closely) is Euclid +/- by Saul
Stahl. Thanks to Prof. Stahl, the book is available for free download
as a set of PDF files.
Midterm and Final Exam Information
The midterm exam was given on Thursday, March 12. Here is some
The final exam will be given on Wednesday, May 13,
from 1:30 - 4:00 PM in Snow 152. Here is some
Here is the master problem list (last updated
I'll assign some of these as homework, and you'll work on some of them
in groups in class. You can use the other ones for review.
I will be adding problems to the list as the semester progresses.
Homework is due every Tuesday at 5:00 PM. No late homework will be accepted.
If you have a conflict which prevents you from turning the homework in on time, let
me know before the deadline.
Written assignments should be submitted to me in class, left in my mailbox in
the Math Department office (405 Snow) or brought to my office (541 Snow).
Sketchpad assignments should be e-mailed to me as attachments. If you submit them early,
I will try to respond as quickly as possible so that you can fix mistakes. You can
keep re-submitting sketches until the weekly deadline of Tuesday at 5 PM.
Here is my grading scale for Sketchpad assignments:
- 5/5: Construction works, and I can't mess it up no matter how hard I try
- 4/5: Construction works in most cases, but after some effort, I found a way to mess it up
- 3/5: Construction works in some cases, but I found an easy way to mess it up
- 2/5: Construction doesn't work, but I think you've made partial progress toward a solution
- 1/5: Construction doesn't work, and I don't see any partial progress
- 0/5: No construction submitted
Re-submitting a sketch (before the deadline) can only increase your grade on it.
Homework #1 (due Tuesday, January 27):
- Written problems: EG 3, EG 9, EG 10. Each construction
should be accompanied by an explanation of the steps you have
taken and why the construction works.
- Sketchpad problems: SA 2, SA 3, SA 4. For SA 2 and SA 3,
use only the Point, Circle and Line tools---do not use
any of the shortcuts from the Construct menu.
- Answers to EG 3 and EG 9
Homework #2 (due Tuesday, February 3):
Homework #3 (due Tuesday, February 10):
- Written problems: EG 19, EG 21, EG 22. When you write your proofs
in problems 19 and 21, you should refer to the master list
of axioms, definitions and theorems, and cite (by number) every
fact or definition that you use.
- Sketchpad problems: SA 14, SA 15.
Homework #4 (due Tuesday, February 17):
Homework #5 (due Tuesday, February 24):
- Written problems: EG 26, EG 27. Also,
read this note (revised 3/1/09) and then redo problem EG 22.
- Sketchpad problems: SA 18, SA 19.
Homework #6 (due Tuesday, March 3):
- Written problems: EG 28, EG 29.
- Sketchpad problems: SA 21, SA 23.
Homework #7 (due Tuesday, March 31):
- Written problems: TG 1, TG 2, TG 3, TG 4, TG 5.
It may help to refer to the notes on
transformational geometry. For TG 3 and TG 4, your answer should use
the notation in the table on p.4 of the notes.
Homework #8 (due Tuesday, April 7):
Homework #9 (due Tuesday, April 14):
- Written problems: TG 12, TG 14, TG 15.
Homework #10 (due Thursday, April 23):
- Written problems: TG 17, TG 19, TG 20.
Homework #11 (due Thursday, April 30):
- Written problems: PH 1, PH 2, PH 3.
Homework #12 (due Thursday, April 30):
- Written problem: PH 4.
- Prize problem: EG 30. Whoever submits the best solution to this
problem, as judged by me, will receive a free copy of Prof. Saul Stahl's
book A Gateway To Modern Geometry (which will be the textbook
for Math 559 this fall). Correct solutions may also receive extra
credit at my discretion.
Mathematical and technical writing information
The book "How to Read and Do Proofs" by Daniel Solow is a great
place to get started.
Last updated Thu 5/7/09