MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS
MATH 170 SYLLABUS WINTER, 1999

Instructor: Dr. Virginia M. Warfield (a.k.a. Ginger Warfield
)

Office: Padelford C-437
Phone: 543-7445 (office);
329-0376 (home-call anytime between 9 AM and 11 PM)
e-mail address: warfield@math.washington.edu

TA: Adam Nyman

Office: Padelford C-???
e-mail address: nyman @math.washington.edu

Office Hours: Warfield: Mondays, 2:00-3:00; Wednesdays after class in the classroom. If neither of these times works for you, phone or e-mail me, or see me briefly after class, and we will set up another time.

Nyman: to be announced

Text: Mathematics for Elementary School Teachers, by Tom Bassarear, available from the University Bookstore.

You also need a packet of notes from Professional Copy at 4200 University Way.

NOTE: The Bassarear text is shrink-wrapped with a book of "Explorations", which is three-hole punched. The Packet is also three-hole punched. I suggest that you get a notebook for those two, because one or the other will be needed in most classes after week one.

Course goals: We operate on the hypothesis that if you enrolled for this course, you are either definitely or potentially interested in becoming an Elementary School teacher. If that is the case, then you are heading out into a world where a tremendous amount of change is in the process of occurring. To me, the most exciting aspect of the change is that elementary mathematics is no longer being regarded as a collection of computational skills, but rather as a rich body of intellectual content which includes computation as a tool, but focuses far more on understanding and communication and reasoning. Obviously, such a change has deep implications for all present and future teachers. Essentially everything we do in this course-the content, the format and the assessment-is designed to help you get your bearings in this new scene. Note that one consequence of this is that what we do in class is an essential constituent of what you are learning, since communication and understanding each other's reasoning can only happen there. This is why one of the constituents of your grade (see below) is class attendance, registered sometimes by your handing something in, and sometimes by a sign-in sheet. Do not take this constituent lightly.

Course Format: Highly variable. We have at all times available to us both Architecture 147, in which we can work together as a whole class, and Architecture 19 and 21, in which you can work as a large bunch of small groups. We may occasionally spend an entire class period in one format or the other, but in general I propose to start one way and end the other. The trick will be to make sure I tell you by the end of each period where you will be beginning the next one. If I don't, go to 147, but look for signs on the door.

There will be homework to be turned in most days. If you have taken it seriously and written it up neatly and turned it in on time or at most one class day late, you will receive full credit. Otherwise you will receive at most half credit.

There will be a midterm on Wednesday, January 27, and an exam at the assigned time: Monday, March 15, from 4:30 to 6:30.(Note that the starting time is a half hour later than class starting time.)

There will also be two projects. Descriptions are below.

Grade distribution: The constituent parts of your grade are

  1. Homework
  2. Classwork and/or attendance
  3. Midterm
  4. Projects
  5. Final exam

Credit: THIS IS A CREDIT/NO CREDIT COURSE. To get credit you must have credit for each of the parts above. For A and B, that means receiving at least 80% of the possible credits. For C and D, if you do not receive credit, you will be given instructions for doing extra work in order to receive it.

Project 1, Option A: The most dramatic option is one involving some service learning. Thanks to the Pipeline Project, which connects UW volunteers with Seattle Public Schools, it is possible for you to receive some special training as a tutor and be placed within a couple of weeks in a school which needs and wants you. Further information will be available on Wednesday. This strikes me as an excellent opportunity to combine learning and being of service. So I offer the following project option:

  1. Sign up to tutor through the Pipeline Project. You must either sign up on Wednesday, January 6, in class or by sending in a registration by Monday, January 11.
  2. You will be required to commit at least one hour a week to tutoring. Request to work with a pair of students, if possible. Plan to spend half of each session working on problems the teacher requests you to work on, and half on some mathematical enrichment activity. The activities should in general be adapted from things we have done in class, but if you have something else you would like to do, run it past me and I will probably approve.
  3. Keep a journal. Write a page or two each time about what you planned, what you observed and what you have learned about how your student does or does not learn mathematics. The journal must be turned in for you to get credit for the tutoring as a project.

NOTE 1: This, clearly, involves the commitment of far more time than it would be dimly reasonable for me to require in addition to the homework and other project in a three credit course. I am offering it because I suspect that many of you would really enjoy a chance to get to work with children of the ages you are thinking about teaching, especially in circumstances where you know you are filling a genuine need. I should also point out that it is definitely the kind of experience that the College of Education (and presumably other institutions offering degrees in teaching) look for in their applicants' portfolios. In addition, this gets your toe in the door of a school, which could be very useful for setting up an observation situation.

NOTE 2: If you would like more details on the Pipeline Project, you can check their web page: http://www.washington.edu/uwired/outreach/pipeline

Project 1, Option B: This one also involves teaching, but on a smaller scale. Later in the quarter, when we have carried out a number of class activities and solved a bunch of problems, you are to choose something from class and teach it to a pair of learners.

Ideally, they should be children, but if you have no access to children, two adults are also fine. You will decide what you plan to do, and write up a page or two telling me

  1. What activity or problem you are going to use
  2. Whom you are going to teach
  3. How you plan to present the activity or problem
  4. What you expect the learners to get out of the process.

Turn this in to me and I will check it over and either OK it or make suggestions about it.

Then you will carry out your proposed lesson and report on the result, noting how it compares with your expectation, and observing and reporting how the learning process of your students compares and contrasts with your own. The follow-up report, together with the proposal which I returned to you will be due Monday, March 8. I need a week's turnaround time for your proposals, so the initial write-up should be in by February 22. If you would like to do it earlier, that is fine-just allow a week for me to read the proposed lesson whenever it is you give it to me.

Project 2: The second project will be a reading project, with a written follow-up. You are to read Fear Of Math-How To Get Over It And Get On With Your Life by Claudia Zaslazsky, which is available at the University Bookstore on the shelf for this course. Students who have read it in the past have frequently commented that they felt all teachers and parents ought to read it, not just the math-anxious ones. What you turn in will not be a book report or summary, but a response to some questions which I will pose in due course. This project will be due Wednesday, February 17. Notice that this means Project 2 is due before Project 1. That's the way it goes sometimes.


SPECIAL ANNOUNCEMENT: This Wednesday , you will be starting the hour in your small groups, finishing up the problem set you begin today. During the second portion of the hour, you will have a guest lecture from Christine Stickler, who runs the Pipeline Project mentioned in the description of Project 1, Option A. She will be giving an introduction which is required for anyone planning to take part in the project, and which will be of value to the rest of you, because a lot of what she has to say generalizes to any teaching situation. This will also be an opportunity to ask her questions and to sign up if you are interested in doing so.

INDIVIDUAL ASSIGNMENT FOR WEDNESDAY, JANUARY 6: Turn in a brief (up to one page) mathematical autobiography. It needn't be particularly thorough or detailed-what I would like to know is roughly your current level and roughly your current feelings about mathematics and, insofar as you can trace them, how you arrived at those feelings.

INDIVIDUAL ASSIGNMENT FOR MONDAY, JANUARY 11: Read the sections of the NCTM Standards which constitute the Section 2 of the Packet you picked up at Professional Copy. Then write a reaction to what you have read (roughly a page worth of reaction.) I do NOT want a summary. I want you say something about what you feel about the contents of the reading-what (if anything) you like and/or what (if anything) you don't like; what sounds like fun and/or what sounds scary, etc.



SUMMARY OF TIMELINE FOR THE QUARTER:
Monday, January 11Last chance to sign up for the Pipeline Project (Option A of Project 1)
Wednesday, January 27Midterm in class
Wednesday, February 17Project 2 due
Monday, February 22Proposal due if you are doing Option B of Project 1
Monday, March 8Project 1, Option B due
Monday, March 15Final Examination from 4:30 to 6:30, ARC 147