Sleep and Dream Math

AwardHonorable Mention

School

Cleveland School of Science and Medicine at John Hay

TeacherMary Simpson

Selected Research

"Sleep Apnea and Treatment Equipment," Jenish Patel

Selected Art*Captain Breathe Right,* Edward Holecko and Cassandra Jerman

Selected Language"Every Night," Rachel Noall

*We were challenged with the task of finding math in research, art, and English. Our teacher told us there was math in everything, but at first we doubted her. Now by finding the math in a research project, a sculpture, and a short story, we realize that she was right.*

-Alex Deuley, Stephanie Dueley, Kate Kupiec

- SLEEP AND DREAM MATH
We were charged with the task of finding the math in research, art, and literature. It seemed easy at first, but they all presented some challenges. For the research paper, we had to come up with a different graph than the one that was given to us. For the artwork, we were unable to take real measurements of the sculpture; and the literature only presented itself as words and not in math. These were some of the obstacles that we had to overcome.

In the research paper, some of the math unmasked itself, but it was a little difficult to present this math in a new and original way.We had to research each PAP (Positive Air Pressure) machine distributor. We viewed the table of criteria needed to be met by these distributors, and made three pie charts and a stacked bar graph based on that information. These charts help to further break down the research.

In the artwork, there seemed to be some math there, but finding a way to express this math onto graphs and in equations was difficult. We basically took the volume, area, and the perimeter of both the artists’ sculpture and a picture of an actual PAP machine. We used the comparisons to make a graph, and we found some very interesting results.

The literature seemed to be a little more difficult, because the last thing you think about when you read something is math.We broke down every line, found how many words were in that line, and also how many characters it contained.We then found the mean, median, mode, and range for each column. These results gave us a nice pattern.

We all achieved our goal in finding the math in these various subjects. It was difficult, but it was a great learning experience. It taught us that there truly is math in everything.

- MATH IN ART
*Captain Breathe Right*I was challenged with the task of finding math in artwork. At first I did not think that it would be too difficult, but I was wrong. When I first viewed the sculpture and read the artists statement, I immediately researched what a real PAP machine would look like. Once I found the picture, I thought about what math I could do to compare the two. I recognized two major components in the pictures: the head and the PAP mask. I decided to measure an average male’s human head and to compare it to the mannequin and the sculpture head. I then measured the picture of the actual PAP machine and the sculpture. I found the volume, area, and perimeter of both. I then compared the two using ratios.

According to the data, both the mannequin and the sculpture heads are small compared to the human head. The artists' sculpture is slightly bigger than the mannequin used to model the machine. I realized that when it comes to the volume, the machine in the sculpture is a lot smaller than the real machine. When considering both machines, the sculpture's area was a little less than that of the real machine. The same goes for the perimeters of the machines. In conclusion, math was found in the sculpture. It just took a little searching to find it.

- MATH IN LANGUAGE
"Every Night"

The task was to find math in a work of language art. Because the literature is mostly words and has no shapes, it requires the most creativity to locate the math.

Since there were not many numbers in the text for me to analyze and to find an equation, I had to further analyze the literature. So, I looked at actual words and began to decipher whether or not they could be used mathematically.

I found math in the literature by using actual calculations. I recognized that for the most part, each line was closely related in the number of words. This drove me to the idea of finding the mean, median, mode, and range in the selection. I found this data by first organizing the components by category using a table. Then for each category I used the derived method of finding the answer.

In conclusion, those were the math techniques that I used to help find math in literature. With these examples I was able to show that there is math in literature, and that it could be found in the most simplest of forms.

**Math Terms Found:****Problem —**In mathematical terms a problem uses an algebraic and/or numeric method as the main technique to get a solution to equations. FOUND IN: paragraph 1, line 2.**Three times —**The word three (3) is a number. The word times relates to multiplication. When both of these words are combined, one can say a multiple of three times. FOUND IN: paragraph 1, line 8.**Is —**The word “is” codes for something being equal (=). In this particular story, “every night” is being compared to being “the last.” Thus, according to this statement the two things being compared (night and the one before) will be of equal amount or value.

- MATH IN SCIENCE
Sleep Apnea Treatment Equipment

A data table was explained in the research portion of the "Sleep Apnea and Treatment Equipment" project that I observed.What the presentation (by Jenish Patel) explained was that there were 12 criteria that each PAP (Positive Air Pressure) machine distributors had to take under consideration. I chose to show this data using charts. On the first page of charts, I decided to create pie charts to show the portions of each criteria made by each PAP machine distributor. The pie charts only show what criteria are contained in each PAP machine distributor company, that is, the pie charts that show individually the number of services each company offers. You can see that Home Care Services offer more services, 9 out of the 12 available (75% of the services), while Outpatient Pharmacy offers only 5 out of 12 (approximately 41.7%) and Online Distributor offer even less: 4 out of 12 (about 33.3%). I also wanted to express the services offered by the three different companies as direct comparisons. For this, on the second page, the chart I chose was a stacked bar graph; here you can easily see the number of offerings each company has and, by the color-coded key, the services that are the same or different in the three companies.