Steps:
Looking at challenge #1 and fast forwarding to the final product (Challenge #3)
you can see a tremendous change in the work. For challenge #1 I didn't understand
what we were trying to accomplish in these mathematical art pieces. I then found the
point was not to go at random, but to create a specific pattern keeping the circles the
same size. I then began my challenge #2 piece. I started with the pencil circle in the
center then branched out with four new circles. Starting with light purple, then the
plum, moving to the green, then finishing off the four with the aqua. Again I branched
out with four more: yellow, dark red, black, and pink. After I had finished drawing out
all the circle's and moved on to connect reoccurring points to other points to create
polygons. I then copied this pattern, with a few minor adjustments, onto Geogebra.
Geogebra is an application that uses points, a digital compass, a ruler, a grapher,
etc. After the entire shape was created I started to color in specific rows of the flower
like shape with different shades of pink to create a flower. Finally I added a green color
to make the entire image resemble a lilly pad.
Reflection:
Throughout this project I had to use so many of the habit's of a mathematician, look
for patterns, start small, be systematic, take apart & put back together, conjecture & test,
stay organized, describe & articulate, seek why & prove, be confident, patient, &
persistent, and collaborate & listen. While I was having trouble in the beginning of this
project I had to collaborate & listen to my peers as well as be patient throughout this
process. After I began to understand I started small with a simple design then built on it
later on. When making the shapes I was forced to find patterns and reoccurring points.
These are only a few examples of when I used the habits of a mathematician in this project.
During the course of this I found that using a precise tool, compass, and my knowledge
of line segments and polygons I could create a perfect flower. If my measurements weren't
correct and the size of the circle size constantly changed it would have turned out somewhat
similar to the product of challenge #1. A simple tool like a ruler and a compass could create
a precise perfect circle, line, polygon, etc that has the potential to be something beautiful.
Looking at challenge #1 and fast forwarding to the final product (Challenge #3)
you can see a tremendous change in the work. For challenge #1 I didn't understand
what we were trying to accomplish in these mathematical art pieces. I then found the
point was not to go at random, but to create a specific pattern keeping the circles the
same size. I then began my challenge #2 piece. I started with the pencil circle in the
center then branched out with four new circles. Starting with light purple, then the
plum, moving to the green, then finishing off the four with the aqua. Again I branched
out with four more: yellow, dark red, black, and pink. After I had finished drawing out
all the circle's and moved on to connect reoccurring points to other points to create
polygons. I then copied this pattern, with a few minor adjustments, onto Geogebra.
Geogebra is an application that uses points, a digital compass, a ruler, a grapher,
etc. After the entire shape was created I started to color in specific rows of the flower
like shape with different shades of pink to create a flower. Finally I added a green color
to make the entire image resemble a lilly pad.
Reflection:
Throughout this project I had to use so many of the habit's of a mathematician, look
for patterns, start small, be systematic, take apart & put back together, conjecture & test,
stay organized, describe & articulate, seek why & prove, be confident, patient, &
persistent, and collaborate & listen. While I was having trouble in the beginning of this
project I had to collaborate & listen to my peers as well as be patient throughout this
process. After I began to understand I started small with a simple design then built on it
later on. When making the shapes I was forced to find patterns and reoccurring points.
These are only a few examples of when I used the habits of a mathematician in this project.
During the course of this I found that using a precise tool, compass, and my knowledge
of line segments and polygons I could create a perfect flower. If my measurements weren't
correct and the size of the circle size constantly changed it would have turned out somewhat
similar to the product of challenge #1. A simple tool like a ruler and a compass could create
a precise perfect circle, line, polygon, etc that has the potential to be something beautiful.