For this assignment, I choose to write about ASSIGNMENT
#5. The creation of a personal library of GSP scripts as tools for doing
constructions you might use several times is an efficient way to organize
and store your work. I wish I had completed my library before I began assignment
four. I felt like I could have begun my library while working on assignment
four.
Not having a strong geometry background, I felt like I had to do a lot of
research to complete my library. After completing the research, I could
try constructing the items on GSP. Not only did I learn a lot about GSP,
but I also learned about the TI - 92 at the same time. This assignment also
taught me some new geometry terms that I have never heard, like "Nine
Point Circle", "Pedal Triangle", and "The Golden Ratio"
to name a few. Creating the personal library taught me how to use some simple
algorithms to create more complex constructions.
This assignment was one of the few that I felt happy with when I completed
it. After completing each script, you knew whether you had the correct construction
or not. If you did not have the proper construction, then I knew to start
over and utilize some other resources. Towards the end of the suggested
list, I spent a lot of time thinking about the mathematics behind the construction,
instead of looking up definitions to geometry terms.
Creating the GSP scripts was a personal challenge to me. I felt like I was
behind my other peers in the class (with my geometry skills). So, I tried
harder than most to understand the true mathematics behind the exercise.
After completing scripts, I tried to construct the item using a different
algorithm. Some of the scripts, I could not find any different methods to
construct the items. Even after I completed the construction, I enjoyed
making the drawing more visually appealing (Like adding color, thick or
dashed lines, and hiding unnecessary items). Creating the scripts also forced
me to learn several constructions I did not know how to do. Since I am teaching
Geometry this year, I have found this very helpful already in the classroom.
The school recently bought TI-92 calculators and GSP is very similar to
the calculators program. After completing this assignment, I spent several
days with my students constructing different items on the calculator. Not
only did the students enjoy utilizing these calculators, but I had several
students said they understood some basic constructions/terms more.
Before this assignment, I was struggling with some geometry terms and constructions.
I was tired of using that compass and ruler. So, GSP helped regain my interest
in geometry and play around with several different scripts to see what kinds
of items I could come up with. I found myself playing around with animations,
measurements and color. I especially became interested in different ratios
of various constructions. (like the ratio between the length of a triangle
side and a median.