**MATH 151: Geometry for Elementary School Teachers**

**Winter 1999**

**Instructor: **Dr. Theresa J. Grant **Office: **4427 Everett Tower

**Phone: ** 387-3842 **e-mail:** terry.grant@wmich.edu

**Office Hours:** Tuesdays 3 - 4pm,
Thursdays 2 - 3pm, and by
appointment.

__Course Description__

This course is designed
to give prospective teachers a deeper understanding of geometry and
measurement. We will primarily use
small groups and discovery learning to develop an understanding of this
material. Emphasis will be placed on
reasoning skills and communication of mathematical ideas. Correct answers are still important,
but I will also be interested in your ability to talk about your solutions and
provide evidence that your solution is correct.

The format of the course
will mainly be small group investigations followed by whole class discussion
and extension questions from your packet for homework. Active participation in the activities
and discussions is expected. I
encourage everyone to share their thoughts and ideas with classmates in small
group, and whole class discussion.
It is crucial that you participate seriously and thoughtfully in the
mathematical investigations we do in this class. I expect you to display professionalism as future teachers
and reflect seriously upon how elementary and middle school students might
think if they did some of the activities we engage in.

We make extensive use of
two computer software packages that are used in elementary schools: Logo and
Sketchpad. We use these programs
for a variety of reasons including:

1) these
programs allow you to explore geometric concepts

2) these
programs are the most likely programs you will encounter in elementary
classrooms

3) the
university has a computer literacy requirement, and you are fulfilling this
requirement by writing computer programs in your math content courses instead
of taking an additional course in computer programming.

Every attempt will be
made to help you develop an understanding of the formulas and theorems for
geometry and measurement that you learned when you were in elementary and
middle school. As a result, at the
end of the semester, you should feel better prepared to help elementary and
middle school students understand these concepts.

__Course Prerequisite__

Completion of Math 150,
or its equivalent, with a **grade of C or better**. Those not meeting this course
prerequisite will be automatically dropped from the course by the Department of
Mathematics & Statistics.

__Course Materials__

*Mathematics for
Elementary Teachers: A Contemporary Approach*, Fourth Edition, by Musser & Burger.

An __$8.50 fee__
payable (by check) to the __Department of Mathematics & Statistics__ is
required to support the cost of duplicating additional materials for the
course. I suggest you
purchase a 3-ring binder (at least 2 inches thick) to hold these additional
materials.__Course Requirements__

All assignments must be
submitted on time. The major
requirements of the course are:

1. **Group Projects**. There are 2 group projects scheduled:
one on Logo and one using measurement and similarity ideas. Some in-class time will be devoted to
the completion of these projects.
You will also need to spend time outside of class with your group
members to complete projects.

2. **Mathematical Reflections**. You have various pages in your packet
entitled ÒMathematical Reflections.Ó These pages contain questions that highlight the
important ideas from the investigations we do in class. Occasionally, you will be required to
submit a response to these questions.
Whether or not you are required to submit your answers, you should
always think about these questions as a good preparation for exams.

3. **Logo and Sketchpad Workpages**. We will be working with two different
types of geometry software: Logo and GeometerÕs Sketchpad. You will be required to work with a
partner to complete various assignments or workpages on Logo and
Sketchpad. Some of these will be
collected and graded.

4. **Exams**. You will be required to take two
in-class exams and one final comprehensive exam. Make-up exams are only given when student contacts me __immediately__
to inform me of an unavoidable absence __and__ the student can __document__
this excuse.

The following is an
outline of how your final grade will be computed:

¥ Major
Assessments (In-class exams, group projects) Å
60% of final grade

¥ Many
Minor Assessments (e.g., reflections, workpages) Å
15% of final grade

¥ Comprehensive
Final Exam Å
25% of final grade

IF __ALL__ the course
requirements have been met, course grades will be assigned according to the
following scale:

A 93%
- 100% CB 77% - 81% D 60%
- 65%

BA 88%
- 92% C 71%
- 76% E Below
60%

B 82%
- 87% DC 66% - 70%

__Attendance Policy__

In a laboratory-oriented
course such as this, **attendance and participation are essential**. Absences will greatly decrease the
value of this course. More than
two absences, **excused or** **unexcused**,
will lower your grade by one letter. No student will receive a grade of C or better with
excessive absences (5 or more) regardless of average on graded assignments. Attendance will be taken at the
beginning of class. If you are
late, it is your responsibility to notify the instructor (after class) of your
presence. [If you are late
excessively (more than twice), each late will count as half an absence.]

__Policy on Incompletes__:

Three conditions must be
met for an incomplete:

(1) you must have completed __most__
of the coursework;

(2) your current grade is DC or better; and

(3) __circumstances
beyond your control__ prevent the completion of the coursework on time.

__All__ incomplete
grades must be approved by the Chair of the Mathematics Department.

** **

**TENTATIVE SCHEDULE**

The course will be
divided into five major sections.
The tentative schedule is given below is subject to change.

January 5 - January 28 *Polygons
and Their Properties*

Musser-Burger,
Sections 12.1, 12.2, 12.3

Logo
Programming and Workpages

__Group
Project:__ City Scene

February 2 - February 16 *Area
and Perimeter*

Musser-Burger,
Sections 13.1 & 13.2

February 16 ** EXAM
1**

February 18 - March 16** Similarity
and Congruence**

Musser-Burger,
Sections 14.1, 14.2 and 14.5

__Group
Project:__ Plan a Park

March 16 - March 30 *3-Dimensional
Shapes,Surface Area and Volume*

Musser-Burger,
Sections 12.5, 13.3, 13.4

March 30 ** EXAM
2**

April 1 - April 15 *Construction
and Geometric Proof*

Musser-Burger,
Sections 12.3, 14.3, 14.4

Sketchpad
Workpages

**Monday, April 19 FINAL
EXAM**

** 8 - 10 am**

[Terry Grant's home] | [Math Department Home] | [WMU Home] |