Department of Mathematics Education

# Aarnout Brombacher's

## Page

**Me**

My
e-mail is **aarnout@brombach.wcape.school.za**

Last modified December 15, 1997

**EMT 668 (Fall '96)**

Write-ups one through five and the final project of this course can be
visited here. Some of the topics dealt with include:

**Finding linear functions whose product is tangent to the functions,**

Some different ways to examine the solution of quadratic equation,

An exploration of triangles and their various points of concurrency,

**An introduction to the polar equation r = a + b cos (k t) and its graphs,**

A search for some special numbers, **and**

A final project consisting of five questions that explore hyperbolas, writing
GSP scripts, the use of computer software to teach maximizing problems,
Ceva's theorem and one further free choice problem.

Click here for information on the EMT 668 course

Three essays and an instructional unit prepared during this course can
be visited here. Some of the topics dealt with include:

**Area relationships**,

**Peano curves**,

**Cycloids, Hypocycloids, Epicycloids, Hypotrochoids and Epitrochoids**

A problem involving three circles.

**Click here for information on the EMT 669 course**

This page is under construction as I am working on the course

**Click here for information on the EMT
725 course**

### EMT 705 (Summer '97)

Orbits

A lesson series incorporating the application of conic sections and in
particular ellipses in space flight with special focus on the challenges
of the Mars Pathfinder mission.

Some Projective Geometry Illustrations

A movie clip that illustrates the essence of this theorem.

A movie clip that illustrates the projective equivalence of a circle
and an ellipse.

This is a problem posed in my Tranformational Geometry (MAT722) course
which I explore using GSP.

A paper on the use of spreadsheets as a tool for exploring the relationships
between Pascal's Triangle and Sierpinski Triangles.

Some snapshots from our **Summer
1997 East Coast (USA) holiday**.

About some **musical
talent........ **

**Contact details**:

Aarnout Brombacher

310 Rogers Road, Apt S111

Athens, GA 30605-1616

USA.

(tel) +1- (706) - 227 - 1096

(email) abrombac@coe.uga.edu