A Reminder of Goals in This Geometry Course

Objectives of our instruction and objectives of your learning

To know and understand the basic terminology and ideas of geometry

To understand why things are as they seem in a geometric setting

To explain why things are as they seem in a geometric setting

(Sometimes the two interact – in trying to explain why something is true you come to understand why a claim is true or why it is false.)

To create an ever-expanding catalog of:

Geometric statements (claims) that you know for certain are true

This means you can provide a compelling argument that explains why a statement is true

Geometric statements (claims) you believe are true

This means you have reasons for believing a statement is true, but you don't have a compelling argument that it is true.

Geometric statements that you suspect are true

This means you have hunches that a statement is true, but you don't have reasons for suspecting so.

Geometric statements that you doubt are true

This means that you have reasons for believing that a statement is false

Geometric statements that you know are not true

This means that you know why a statement is false (you can produce a counter-example)