**Math 406B: Methods
of Teaching Mathematics in the Secondary School**

__Course Description__

This course is part of the secondary teaching option for a major in mathematics at The University of Arizona. It is designed to provide students with knowledge and experience to enable them to become effective secondary mathematics teachers. Emphasis will be on modes of instruction, problem solving, use of technology, assessment, and national standards. Special attention will be given to the teaching of geometry, algebra, statistics, and discrete mathematics.

__Meeting Place and Time__

Math East, Room 143

Tuesdays and Thursdays,

Practicum sites and times to be arranged

Virginia Horak,
Assoc. Prof. Office
Hours: Monday,

Office: Math 522 Tuesday,

Phone: 626-5987
Wednesday,

E-mail: horak@math.arizona.edu Or by appointment

Webpage: www.math.arizona.edu/~horak

__Required Textbook__

Wong, Harry
K. and Rosemary T. Wong (2004). *The First
Days of School*.

National Council
of Teachers of Mathematics (2000). *Principles and Standards for School
Mathematics* (PSSM).

Arizona Department of Education, State Standards for Mathematics: www.ade.state.az.us/standards/math/default.asp

www.ade.state.az.us/standards/AIMS/blueprints/HSMathchart.pdf

www.tusd.k12.az.us, clink on link to Academic and Instructional Resources

Cooney,
Brown, Dossey, Schrage and Wittmann (1996).
*Mathematics, Pedagogy, and
Secondary Teacher Education*.

1. Students will be able to name, describe, identify, and use different modes of instruction and explain when each might be appropriate.

2. Students will be able to develop lessons and lesson plans for the different modes of instruction and different content.

3. Students will understand, appreciate, and be able to integrate the use of computers, calculators, and appropriate manipulatives into the teaching of the secondary mathematics curriculum.

4. Students will appreciate the importance of problem solving in the mathematics curriculum, and will be able to integrate it into all content area topics.

5. Students will be able to identify the characteristics of informal geometry instruction and develop informal geometry lessons appropriate for the middle or high school level.

6. Students will be able to incorporate a variety of assessments of student learning into lessons they develop.

7. Students will know and understand proportional reasoning and how it can be developed in middle school students.

__Attendance__:
Class participation is very important.
Thus, attendance and punctuality will affect your final grade. More than one absence can cause your grade to
be lowered or cause you to be dropped from the course. Attendance will be taken at each class
session.

__Assignments__:
Homework assignments will be collected at the beginning of class the day
they are due. In general, no late
homework will be accepted for full credit.

__Exams__:
There will be a midterm exam and a final exam.** **Everyone is expected to take the exams at
the scheduled times. There will be no
exceptions.

** Tentative**
Class Schedule

__Week __ __Topic__

Aug. 22: *Course Overview, PSSM & Current
Trends*

* * **Assignment on the Principles in PSSM**

* *

Aug. 29: *Conceptual/Procedural Knowledge*

Sept. 5: *Modes of Instruction *

**Student reports
on journal articles to class**

Sept. 12: *Promoting Discourse in the Classroom*

Sept. 19: *Planning for Instruction*

Sept. 26: *Teaching**
**Middle School**
Mathematics*

Proportional Reasoning

Sept 20: *Teaching Algebra *

Oct. 3: *Teaching Algebra, continued*

**Student
reports on Issues papers **

Oct. 10:* Teaching Geometry *

**MIDTERM
EXAM tentatively set for October 11 **

Oct. 17: *Teaching Geometry, continued*

**Algebra
lesson plan assignment due **

Oct. 24: *Classroom Management 1*

Oct. 31: *Teaching Data Analysis*

**Geometry
lesson plan assignment due **

Nov. 7: *Teaching with* *Technology *

Nov. 14: *CBR
lesson taught to STCH 250 class, November 17*

* Teaching Probability and Topics of Discrete Mathematics*

Nov. 21: *Teaching Probability and Topics of
Discrete Mathematics (cont.)*

(No class on 11/24)

Nov. 28: *Classroom
Management 2*

Dec. 5: *Looking
Back, Looking Ahead*

**The Final Exam will
be ****Thursday, 15 December 2005****, ****8:00 10:00 a.m.****,
Math East 143**

Reviews of two articles in MT,

Paper examining an issue in mathematics education 80 pts

Algebra Lesson Plan 80 pts

Geometry Lesson Plan 80 pts

Class assignments (3 of them) 60 pts (20 pts ea)

Mid-term exam 100 pts

Final exam 120 pts

Class participation 30 pts

Practicum Reports/Reflections (5 points each) __ 65 __pts

**Total** ** 645 pts**

580 points A

516 points B

451 points C

387 points D

386 or less E

- Three hours per week in a middle school/high school classroom
- Half of the semester will occur in a middle school and half the semester will occur in a high school. Assignment to schools and classroom teachers will occur during the week of August 29.
- Expectations

ุ A journal of each weekly classroom visit with reflection of the classroom activities, questions/issues that arise, etc.

ุ A report on your involvements in the classroom. These involvements may include some, but not all of the following:

Tutor one or more students for several weeks

Collect and/or distribute homework assignments

Grade homework assignments

Go over homework assignments with class

Take attendance

Work with a small group of students

Present an activity to the class

Attend a faculty meeting (with permission)

Interview one or more (mathematics) teachers

Attend an IEP meeting on a student (with permission)

Attend other classes of a student

Interview a student

ุ Prepare and teach at least four lessons over the course of the semester

Things to remember for your practicum visits:

- Sign in at school according to school policy and procedures
- Introduce yourself to your practicum teacher; swap phone numbers and e-mail addresses
- Notify practicum teacher if you cannot make it to the classes on a day you are scheduled
- Reschedule to another day as soon as possible
- Ensure that you dress appropriately
- Use appropriate language register
- If documents are needed from teacher, please request in writing at least one week in advance of the time they are needed.
- On your first visit to the school, get the bell schedule, a map of campus, the school calendar, and list of manipulatives/technology available in the classroom you will be visiting
- Wear your nametag on every visit