Catalog Description
Foundations of Geometry (3) Prerequisite or Corequisite: MATH 320.One of the goals of this course is to help students write rigorous proofs of results of plane Euclidean geometry. It is also expected that students visualize and develop geometric intuition through the use of dynamic geometry software. The content includes history, axiomatic structure, and theorems of plane Euclidean geometry, geometric transformations of the plane: rigid motions, similarities, and inversion, coordinate geometry and an introduction to non-Euclidean geometries.
Class Minutiae
| Class Location: | CR 5118 (Chaparral Hall) |  |
| Class Time: | Tuesday/Thursday 6:30-7:45 PM | |
| Class Number: | 14975 | |
| Instructor: | Bruce E Shapiro, Ph.D. | |
| Office Hours: | To be announced. | |
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Don't just drop by the office that the Math Department has listed for me: I will never be there so you will be wasting your time. |
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| Email: |
bruce.e.shapiro at csun.edu
Make sure to include "370" in the subject line and your name somewhere in the email. |
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Telephone: |
Cell phone number to be provided in class. The fastest way to contact me is via text message or email. If you leave a message please tell me your name and what class your are in. Don't call the number the Math department lists for me. I don't use that telephone and I don't check the messages there (ever). In any case you are more likely to reach me a lot more quickly by email. |
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| Class Web Page: | http://biomathman.com/math370/ Students are responsible for checking the web page regularly for announcements and homework assignments. |
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Textbook: |
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Student Learning Outcomes
Upon completing this class, the student should be able to*:
- Understand the foundations of the geometry (MSMR 2)
- Be familiar with the California content standards for Secondary Geometry, and understand the concepts described in those standards.
- Develop a lesson plan for a secondary geometry class.
- Produce a mathematics document electronically.
- Map the principals and concepts of geometry to the California content standards for for secondary geometry.
- Work together effectively in groups to develop and present material others.
- Know the Parallel Postulate and its implications (MSMR 2.1a)
- Know the variants of the parallel postulate for non-Euclidean geometry. (MSMR 2.1b)
- Prove theorems and solve problems involving similarity and congruence (MSMR 2.2a)
- Understand, apply, and justify properties of triangles. (MSMR 2.2b)
- Understand, apply, and justify properties of polygons and circles. (MSMR 2.2c)
- Justify and perform the classical constructions (MSMR 2.2d)
- Perform constructions using software
- Use techniques in coordinate geometry to prove geometric theorems (MSMR 2.2e)
- Understand of parallelism and perpendicularity of lines and planes in three dimensions (MSMR 2.3a)
- Understand, apply, and justify properties of three-dimensional objects (MSMR 2.3b)
- Understand the basic properties of isometries (MSMR 2.4a)
- Understand the basic properties of dilations (MSMR 2.4b)
*MSMR = Mathematics Subject Matter Requirements, California Commission on Teacher Credentialing.
Grading
20% - Final Exam - May 17, 8:00 PM - 10:00 PM (as per SOLAR)
20% - Written Project (on History of Geometry and Geometry Standards)
10% - Oral Presentation (based on Written Project)
50% - Homework Assignments (Must be Typeset)
Class attendance is required and your semester grade will be reduced by 1/3 letter grade for every 3 unexcused absences
Not responsible for You Tube content.
Cookies
I
encourage students to bring snacks to share with
me and the rest of the class. Chocolate chip are one of my faves.
Resources
- Mathematics Framework for California Public Schools
- Content standards adopted by the California State Board of Education
- California Commission on Teacher Credentialing
- Become a Teacher: resources from California Dept. of Education
- teachcalifornia.org
- California Basic Education Skills Test (CBEST)
- Los Angeles Unified School District (LAUSD) textbook services
- LAUSD District 1
- NCTM (National Council of Teachers of Mathematics) Geometry Standards
- Texas Instruments Education Technology
- National Library of Virtual Manipulatives from Utah State University
- Common Core Standards for Math
- UCSMP (Univ Chicago School Math Project)
Rules That I Have That You May Find Odd or Unusual
Don't Cheat. Follow the Student Conduct Code at all times. More in the next box.
Attendance is Mandatory - remember to sign in every class session. Your grade will be reduced for missing too many sessions.
Cell Phones - turn off the ringers, please.
Smelly Food - don't bring it.
Other Food - bring enough to share with the whole class. You'll be surprised how many friends you can make with a few chocolate chip cookies.
Strong Smelling Perfumes, Colognes, and other Stinkys: - don't use them.
Special Learning Needs
Please coordinate any special accommodations that you need through the campus Center on Disability Resources and Educational Services.
Feel free to talk to me about this if you are not sure whether or not your special need should be handled via DRES.
If you are not familiar with DRES, check their web page at http://www.csun.edu/dres to make an appointment or to see what services are available.
In particular if you need special testing arrangements I will need to know at least two weeks in advance. Please make sure to get all of your paperwork signed as soon as possible. If you are going to bring additional people to class (note-taker, interpreter, etc.) please let me know that as soon as possible so that I can take that information into account so that I can make a correct determination of how much additional space (seats) remain in the class.
Student Conduct
Students are expected to conduct themselves in accord with university policies on Student Conduct and Academic Dishonesty. Violation of this code could be punishable by a failing grade in the class or removal from the university, as determined by Dean of Students.
I require students to sign an affirmation that they will abide by the student conduct code (and not cheat in this class) and to reaffirm this contract at each exam. If you are uncomfortable signing this affirmation you should not enroll in this class.
The student conduct code is posted at: http://www.csun.edu/a&r/soc/studentconduct.html
