Pre/co-requisites: Math 151; Math 161 (may be taken concurrently); Math 171 (may be taken concurrently).

Units: 4 (3 hours per week in class, 24 hours total of service learning).

Catalog Description: Secondary school mathematics from an advanced viewpoint. This course builds on students' work in upper division mathematics to deepen their understanding of the mathematics taught in secondary schools. In collaboration with local in-service teachers and university faculty, students will actively explore topics in number theory, algebra, analysis, geometry, and apply their content knowledge in a service-learning context.

Informal Course Description: Research shows that amount of course work in mathematics taken by an undergraduate does not correlate to teaching effectiveness. One issue is that the undergraduate curriculum usually is not linked explicitly to high school mathematics. In this class, we will revisit high school mathematics with advanced mathematical tools and maturity. We will look at key questions that come up in high school classrooms and consider rigorous answers as well as explanations accessible to students.

Course goals
Upon completion of this course, students should know/understand:

• Mathematical ideas and processes (such as integer, rational, real, and complex numbers; functions; solving equations; proportional reasoning; length, area, and volume) taught in grades 7-12.
• Relevance of mathematics learned in college to the teaching of mathematics in middle and high school curriculum.
• The role of problem solving in the secondary school mathematics curriculum.

Learning Outcomes
Upon completion of this course, students should be able to:

• Describe mathematical ideas and processes taught in the grades 7-12 curriculum (such as integer, rational, real, and complex numbers; functions; solving equations; proportional reasoning; length, area, and volume), both with rigor and in a way accessible to students.
• Describe connections among the various branches of mathematics studied in college: abstract algebra, geometry, mathematical analysis, number theory.
• Use mathematical reasoning to analyze student thinking.
• Find rich extensions to the standard secondary mathematics curriculum.
• Design, observe, and analyze lessons for grades 7-12 mathematics curriculum.

Grading policy: Your grade for the course will be based on your participation and your performance on quizzes, homework, tests, and field experience.

Tests: There will be three 1-hour tests. Make-up exams will be given only in case of an illness or a serious family emergency. No notes, books, or calculators will be allowed on the tests.

Class attendance: It is important to attend every class because group/class discussions are an important part of the course. Attendance will be taken but will not be directly a part of your grade. Participation, however, will be a part of your grade. There are two ways to participate: present your solutions to homework problems and contribute to the class discussions. Class discussions will be based on reading assignments and field experience.

If you miss a class, you should contact one of your classmates or the instructor to find out what was done in class and whether important announcements were made or homework was assigned.

Homework: There will be weekly homework, consisting of reading summaries/reflections and problem sets. No late papers will be accepted except in case of an illness or a serious family emergency. Working with your classmates is allowed and encouraged, but every student must write his or her own papers. If you work with someone, please indicate that on your paper.

Service Learning: Service Learning is a key component of this course. It will involve 4 hours of lesson observation and 20 hours of observation and instruction of extra-curricular activities in the following settings:

• extracurricular activities observation;
• preparing for and leading extracurricular activities (for advanced/interested students).

In addition, you will develop materials for, observe, and/or lead/assist with a math club or an after school activity for interested advanced students. Your level of engagement will be evaluated by your peers, the school teacher (if the activity is held at a school), and/or your instructor. You have to turn in your notes/materials and reflections within 1 month of each activity.

Finally, you should prepare a short presentation (about 5 minutes long) about your service learning experience. You may choose the topic you want to present on: a class activity you liked (whether the class was taugh by you or the teacher you observed), your lesson plan, teaching strategies you learned, etc. Since you will be often working in groups, presentations may be prepared by groups as well. However, in this case, make sure that all of the group members are involved in preparing the presentation as well as presenting.

Note. As indicated above, you are expected to complete at least 20 hours total of service learning in the math club/extracurricular activities setting, in addition to the 4 hours of observation. If you complete less than the required hours of service learning, your grade for this component will be prorated. If you complete more than 20 hours in the extracurricular setting, you will receive extra credit.

Contact your instructor regarding the details of your field placement.

Extra Help: It is essential not to fall behind, because many classes will use the material studied previously. If you have trouble with some material, seek help in the following ways:

• Ask me, either in class or privately. Don't be shy to ask questions. If you don't understand something, chances are very high that somebody else doesn't understand that either. My contact info is given on the course web page.
• Work with your classmates. Note: working on your homework together is allowed and encouraged, however, every student should write down their solutions on their own, in their own words.

Computers: At California State University, Fresno, computers and communications links to remote resources are recognized as being integral to the education and research experience. Every student is required to have his/her own computer or have other personal access to a workstation (including a modem and a printer) with all the recommended software. The minimum and recommended standards for the workstations and software, which may vary by academic major, are updated periodically and are available from Information Technology Services or the Universit Bookstore. In the curriculum and class assignments, students are presumed to have 24-hour access to a computer workstation and the necessary communication links to the University's information resources.

Students with disabilities: upon identifying themselves to the University, students with disabilities will receive necessary accommodation for learning and evaluation. For more information, see http://www.fresnostate.edu/studentaffairs/ssd/

Academic honesty: cheating and plagiarism will not be tolerated in this class. For information on the University's policy, see the University Catalog (section Policies and Regulations).

Honor Code: Members of the CSU Fresno academic community adhere to principles of academic integrity and mutual respect while engaged in university work and related activities. You should:

• understand or seek clarification about expectations for academic integrity in this course (including no cheating, plagiarism and inappropriate collaboration)
• neither give nor receive unauthorized aid on examinations or other course work that is used by the instructor as the basis of grading.
• take responsibility to monitor academic dishonesty in any form and to report it to the instructor or other appropriate official for action.

Disruptive Classroom Behavior: student conduct which disrupts the learning process will not be tolerated and may lead to disciplinary action and/or removal from class.

Copyright policy: Copyright laws and fair use policies protect the rights of those who have produced the material. The copy in this course has been provided for private study, scholarship, or research. Other uses may require permission from the copyright holder. The user of this work is responsible for adhering to copyright law of the U.S. (Title 17, U.S. Code). To help you familiarize yourself with copyright and fair use policies, the University encourages you to visit its copyright web page: http://www.fresnostate.edu/home/about/copyright.html. Digital Campus course web sites contains material protected by copyrights held by the instructor, other individuals or institutions. Such material is used for educational purposes in accord with copyright law and/or with permission given by the owners of the original material. You may download one copy of the materials on any single computer for non-commercial, personal, or educational purposes only, provided that you (1) do not modify it, (2) use it only for the duration of this course, and (3) include both this notice and any copyright notice originally included with the material. Beyond this use, no material from the course web site may be copied, reproduced, re-published, uploaded, posted, transmitted, or distributed in any way without the permission of the original copyright holder. The instructor assumes no responsibility for individuals who improperly use copyrighted material placed on the web site.

Subject to Change: This syllabus and schedule are subject to change in the event of extenuating circumstances. If you are absent from class, it is your responsibility to check on announcements made while you were absent.