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

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The synthesis and analysis of the secondary mathematics curriculum from an advanced standpoint. Emphasis will be on the integration of problem solving, investigations, reasoning, and communication as recommended in state and national standards.

3 units.

Additional comments: 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.

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

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

A schedule of class meetings, topics, assignments, due dates, exam dates, etc. will be provided by instructor. See your class syllabus.

Here is an example course outline.

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

Example assighments:

- Students are 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 are 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 are 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 is given during the semester.

The final exam is given at the date and time announced in the Schedule of Classes.

After completing MAT 490 the student will

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

Most instructors encourage the use of machines, calculators computers, phones etc., for analyzing data. The use of machines may be restricted during examinations or at certain other times. Ask your instructor for the policy in your class.

Students are not expected to be programmers or to know any particular computer language before starting this class. Some instructors may expect students to be able to access information on the internet, or to use calculators, or to learn to use particular software with instruction. Basic skill in algebra and the use of mathematical symbols, order of operations etc., and the willingness to read and follow instruction manuals and help files will suffice.

Students' grades are based on homework, class participation, short tests, and scheduled examinations covering students' understanding of the topics covered in this course. The instructor determines the relative weights of these factors and the grading scale. See the syllabus for your particular class.

Classes meet on the dates and room announced in the official Schedule of Classes. This is a traditional, face-to-face class.

Attendance policy is set by the instructor.

Due dates and policy regarding make-up work and missed exams are set by the instructor. Instructors may, or may not, choose to offer extra credit assignments. If extra credit assignments are offered they will be available to all students.

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 we best can help you. All disclosures of disabilities will be kept strictly confidential. Please note: you must register with DSS to arrange an no accommodation. For information call (310) 243-3660 or send an email message to dss@csudh.edu or visit the DSS website http://www4.csudh.edu/dss/contact-us/index or visit their office WH D-180

We all are adults so behavior rarely is an issue. Just follow the Golden Rule: "do unto others as you would have them do unto you" then everything will be fine.

The university must maintain a classroom environment that is suitable for learning, so anyone who insists on disrupting that environment will be expelled from the class.

Revision history:

Prepared by J. Wilkins 2/17/00. Revised 7/7/01, 7/25/06, 1/10/15 (G. Jennings).