This is a sample syllabus only. Ask your instructor for the official syllabus for your course.

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MAT 490 provides students with an opportunity to explore the high school mathematics curriculum from an advanced standpoint and come to understand that mathematics is a growing body of work that is comprised of many facets such as concepts, principles, procedures, algorithms, problem solving, and reasoning. Students gain a sense of the importance of multiple representations as communication of mathematical ideas.

MAT 490 meets for three hours of lecture per week.

Nine units of 300 or 400 level mathematics courses with a grade of "C" or better.

After completing MAT 490 the student should

- know and understand that mathematics is a complex field of study that includes activities as computation, concepts, principles, problem solving, and reasoning
- know and understand that mathematics is created (or discovered) by human beings and is essentially an intellectual endeavor
- know and understand that while mathematics is a body of knowledge, it is not fixed but constantly growing
- know and understand that the multiple representation of mathematical ideas is important in the communication of those ideas
- understand that the above conceptions of mathematics are important and should be part of the teaching of mathematics in secondary schools.

Students should be able to demonstrate through written assignments, tests, and/or oral presentations, that they have achieved the objectives of MAT 490.

- Students will be required to present a talk on a current book or bibliography of a mathematician. Evaluations of presentations will be discussed before hand and included points for delivery, clarity of mathematics and correctness.
- Students will be required to write several short papers on various subjects throughout the course. These papers must be typed using 12 point times font, appropriate use of upper- and lower-case typing, double spaced, and one inch margins. The papers should be well written with indented paragraphs, correct spelling, good grammar, and in a professional style.
- Students will be required to keep their work during the course and produce a portfolio of their best work for evaluation. Portfolios should indicate growth over the semester as well as a depth of mathematical knowledge and mathematical reasoning not accounted for with other assessments.
- An essay type midterm and a final will be given during the semester.

Instructor compiled readings consisting of articles and chapters that help students come the understandings listed above.

- Foundations of mathematics
- Formalism, Platonism, and constructionism
- Russell's Paradox
- Gödel's Incompleteness Theorem
- Misconceptions of mathematics

, short tests, and/or scheduled examinations that test students' understanding of the topics covered in the course (see "Method of evaluating outcomes"). The instructor determines the weight of each of these factors in the final grade.

Attendance policy is set by the instructor.

Due dates and policy regarding make-up work are set by the instructor.

The instructor sets all test dates except the date of the final exam. The final exam is given at the date and time announced in the Schedule of Classes.

The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)

Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the DSS in WH B250. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.

Revision history:

Prepared by J. Wilkins 2/17/00. Revised 7/7/01, 7/25/06 (G. Jennings).