The National Student Research Center

E-Journal of Student Research: Multi-Disciplinary

Volume 6, Number 4, July, 1998


The National Student Research Center is dedicated to promoting student research and the use of the scientific method in all subject areas across the curriculum, especially science and math.

For more information contact:

John I. Swang, Ph.D.
Founder/Director
National Student Research Center
2024 Livingston Street
Mandeville, Louisiana 70448
U.S.A.
E-Mail: nsrcmms@communique.net
http://youth.net/nsrc/nsrc.html


TABLE OF CONTENTS

Science:
  1. The Use Of Designer Health Masks To Prevent the Spread Of Infectious Diseases Such As the Cold and Flu In Schools
  2. The Influence Of Warming Up On Physical Performance
  3. Which Liquid Has The Highest Viscosity?
  4. What Part Of Cary, Illinois Has The Most Air Pollution?
  5. The Effects of Fertilizer on Plant Growth
Math:
  1. Does The Pythagorean Theorem Work?
  2. Is The Formula C = D x Pi Always Correct?
  3. Is The Formula For Finding The Surface Area Of A Rectangular Prism Accurate?
Social Studies:
  1. A Student Survey About Cold and Flu Epidemics In Schools
  2. What Do Students Know And Feel About Prejudice?


SCIENCE SECTION


TITLE:  The Use Of Designer Health Masks To Prevent the Spread 
        Of Infectious  Diseases Such As the Cold and Flu In 
        Schools 

STUDENT RESEARCHERS:  Chris Chugden, James Rees, Whitney 
                      Stoppel, and Amber French  

SCHOOL:  Mandeville Middle School
         Mandeville, Louisiana
GRADE:  6
TEACHER:  John I. Swang, Ph.D.


I.  STATEMENT OF PURPOSE AND HYPOTHESIS:

We would like to do a scientific research project on how to 
prevent the spread of infectious diseases such as the common 
cold and flu.  We are concerned about this problem in our 
community's schools.  Our hypothesis states that surgical masks 
will significantly reduce the migration of microorganisms from 
the nose and mouth to the medium of a petri dish.

II.  METHODOLOGY:

First, we identified a problem within our community which was 
viral epidemics in schools during the cold and flu season.  Then 
we developed a statement of purpose.  Next, we wrote a review of 
literature about epidemiology, viruses, the common cold, 
influenza, diseases, and public health.  Then we interviewed 
numerous community health professionals and school officials 
about viral epidemics in schools (the St. Tammany Parish School 
Board School nurses, the St. Tammany Parish School Board Census 
Department, the St. Tammany Parish Health Unit, and the St. 
Tammany Parish Hospital Health Education Program).  From the 
information we gathered, we developed our hypothesis.

We then developed a methodology to test our hypothesis.  Next, 
we gathered the materials needed to conduct our research: 
sterile plastic petri dishes (with a lid), surgical masks, Knox 
plain gelatin, and a data collection form.  Then we began our 
experimentation.  First, we opened a bag of sterile petri dishes 
and prepared the Knox plain gelatin which would be used as the 
growing medium.  We laid down twelve petri dishes on a table.  
We filled the petri dishes with 62.5 milliliters of Knox plain 
gelatin and immediately covered them.  The first 4 petri dishes 
were used as controls.  They were sealed and received no 
treatment of any kind.  The second set of 4 petri dishes were 
opened and coughed on three times, from a distance of 30 
centimeters, with a surgical mask on.  The last set of 4 petri 
dishes were coughed on three times, from a distance of 30 
centimeters, without a surgical mask on.  Everyday, for six 
days, we observed the dishes to check for microorganisms growing 
on the medium of the dishes.  We recorded our data on our data 
collection form.

After our observations, we analyzed our data using simple 
statistics, graphs, and charts.  Then we wrote a summary and 
conclusion where we rejected or accepted our hypothesis.  
Finally, we applied our findings to our school's environment.

Our controlled variables included the type and size of petri 
dishes, the type of the surgical masks, the amount of coughs on 
the petri dishes, the surroundings where the petri dishes were 
put, the time period for observation, and the type and amount of 
gelatin used.  Our manipulated variable was coughing on the two 
sets of experimental dishes with and without the surgical masks 
on.  Our responding variable was the growth amount of 
microorganisms on the medium of the petri dishes.  

One set (N=4) of petri dishes served as our control.  A second 
set (N=4) of petri dishes served as our Experimental Group 1.  
We coughed on this set with surgical masks on.  A third set of 
petri dishes (N=4) served as our Experimental Group 2.  We 
coughed on this set without surgical masks on.   

III.  ANALYSIS OF DATA:

On day 6, the final day of our experiment, there was a total of 
16 colonies of microorganisms growing on all 4 of the control 
petri dishes.  There was a total of 21 colonies of 
microorganisms growing on all 4 of the Experimental Group 1 
petri dishes which we coughed on with the surgical masks on.  
There was a total of 137 colonies of microorganisms growing on 
all 4 of the Experimental Group 2 petri dishes which we coughed 
on without a surgical mask on.

On day 6, the final day of our experiment, the colonies of 
microorganisms growing on all 4 of the control petri dishes had 
an average diameter of 6.25 mm.  The colonies of microorganisms 
growing on all 4 of the Experimental Group 1 petri dishes had an 
average diameter of 6.50 mm.  The colonies of microorganisms 
growing on all 4 of the Experimental Group 2 petri dishes had an 
average diameter of 8.00 mm. 

The Total Number Of Colonies Of Microorganisms On All The Petri 
Dishes

Petri Dishes  | Day 1 | Day 2 | Day 3| Day 4 | Day 5 | Day 6 |
All: Controls |       |       |      |       |       |       |
(N=4)         |   0   |    1  |   2  |   11  |   14  |   16  |
All: Mask On  |       |       |      |       |       |       |
(N=4)         |  10   |   11  |  13  |   17  |   20  |   21  |
All: Mask Off |       |       |      |       |       |       |
(N=4)         |  20   |   58  |  94  |  117  |  130  |  137  |

The Average Diameter (mm) Of The Colonies On All The Petri 
Dishes

Petri Dishes  | Day 1 | Day 2 | Day 3| Day 4 | Day 5 | Day 6 |
All: Controls |       |       |      |       |       |       |
(N=4)         |   0   |  .75  | 3.50 | 5.50  | 5.75  | 6.25  |
All: Mask On  |       |       |      |       |       |       |
(N=4)         |  .75  | 2.00  | 2.25 | 5.00  | 6.00  | 6.50  |
All: Mask Off |       |       |      |       |       |       |  
(N=4)         | 4.00  | 4.50  | 5.00 | 6.25  | 7.00  | 8.00  |

IV.  SUMMARY AND CONCLUSION:

Our data show that surgical masks will significantly reduce the 
number and growth of microorganisms deposited on the petri 
dishes when they are coughed on.  Therefore, we accept our 
hypothesis which states that the surgical masks will 
significantly reduce the spread of microorganisms from the nose 
and mouth to the medium of a petri dish. 

It should be noted that the microorganisms observed growing on 
the petri dishes were probably a mixture of mostly bacteria and 
mold spores.  We did not identify the microorganisms.  The 
incubation of viruses would require a different methodology. 

This basically demonstrated what it would be like to cough on 
someone accidentally.  The petri dish could be considered 
another person's face.  When the surgical mask is on, the 
probability that the person which was coughed on will be 
infected with common cold and flu germs is greatly reduced.    

V.  APPLICATION:

Now we know that a surgical mask will reduce the spread and 
growth of microorganisms on a petri dish.  We can apply this to 
our school environment  by starting a program that would get 
students in schools to wear a surgical masks during the cold and 
flu season.  

We will design and distribute fashionable health masks with 
widely known logos on them such as Nike, Tommy Hilfiger, Reebok, 
Polo Sport, Adidas, etc or other works of art.  This will 
hopefully motivate students to wear the surgical masks during 
the cold and flu season.  

We will also produce an instructional video which will inform 
students about the different ways that they can help protect 
themselves from getting colds and the flu such as washing their 
hands, keeping thing like pencils and fingers out of their nose 
and mouth, not sharing eating utensils, not drinking out of the 
same can, cup, or bottle, covering their nose and mouth with 
your hands or their arm when they cough or sneeze,  ventilating 
their classroom, staying away from sick students, and staying 
home when they are sick so no one else will get infected from 
their disease. 



Title:  The Influence Of Warming Up On Physical Performance

Student Researchers:  Laure Deffois, David Lucas, and Anna 
                      Baumard
School Address:  Lycee Notre Dame
                 Rue Principale
                 49310 La Salle de Vihiers
                 FRANCE
Grade:  Lower 6th Form
Teacher:  Thomas J. C. Richard

I.  Statement of Purpose and Hypothesis

We know that warming up is necessary in order to avoid 
straining, sprains, and pulling muscles.  We can then wonder 
what effect warming up has on a person when physically 
exercising.  Our hypothesis states that a warming up activity 
triggers a significant increase in physical performances.

II.  Methodology

In order to verify our hypothesis, we have chosen to test the 
effectiveness of warming up activities on human beings.  We have 
chosen several categories of people according to their ages, 
their sex, and their sport abilities.  

So before each person warmed up, they took the following 
position: they stood up with their legs straight and tensed, 
then they leaned forward and crossed their arms trying to get 
their elbows down as best as they could.  We measured the 
distance between their elbows and the floor.  Then we again 
measured the distance between their elbows and the floor after a 
warming up activity.  

We looked for a difference between the first measurements and 
the last ones.  This made it possible for us to assess each 
subject's performance before and after warming up.  In our 
experiment, an increase in physical performances is shown by a 
decrease of the measured distance between the elbows and the 
floor.

III.  Analysis of Data

The performance of every individual dramatically got better on 
account of the warming up activities.  For anyone, whatever 
their age, sex or sport ability, the distance between the elbows 
and the floor  significantly decreased after warming up.

IV.  Summary and Conclusion

Our findings indicate that warming up leads to an increase in 
physical performance.  Therefore, our hypothesis is confirmed.  
Warming up favors sport performance.  It would be interesting to 
repeat our experiment using other warming up exercises, sports 
performances, and other sorts of people to see if we get the 
same results.

V.  Application

We have showed that physical performance increases thanks to 
warming up exercises.  Indeed, this warming up favors blood 
circulation and increases the temperature of muscles.  It also 
increases the oxygen supply of muscles as well as the 
flexibility of muscular fibres.  In conclusion, if muscles are 
prepared for physical exercise by warming up, performance will 
then be better without any risk for the person.



TITLE:  Which Liquid Has The Highest Viscosity?

STUDENT RESEARCHERS:  John Casey and Amber French
SCHOOL:  Mandeville Middle School
         Mandeville, Louisiana
GRADE:  6
TEACHER:  John I. Swang, Ph.D.

I.  STATEMENT OF PURPOSE AND HYPOTHESIS: 

We would like to do a scientific research project on the 
viscosity of different liquids.  Our hypothesis states that 
water will have the lowest viscosity of the liquids tested.

II.  METHODOLOGY:

First, we identified our topic.  Then we wrote a statement of 
purpose.  Next, we wrote a review of literature about viscosity, 
density, mass, weight, liquids, molasses, water, petroleum, and 
liquid soap.  Then we stated our hypothesis.  

Next, we developed a methodology to test our hypothesis.  Then 
we conducted the experiment.  The first step was to gather our 
materials.  Second, we filled a 100 ml. graduated cylinder (21 
cm. tall with a diameter of 2.5 cm.) with 100 ml. of molasses.  
Then we took a marble that weighed 5.7 grams and had a diameter 
of 1 1/2 cm. and dropped it into the liquid from a distance of 1 
mm above the surface of the liquid.  We timed how long it took 
for the marble to reach the bottom of the graduated cylinder.  
We repeated this procedure three times.  We also tested water, 
oil, alcohol, honey, and liquid soap.

We recorded the data on our data collection sheet.  We then 
analyzed our data using charts and graphs.  Next, we wrote our 
summary and conclusion where we accepted/rejected our 
hypothesis.  Then we applied our findings to the world outside 
the classroom.

III.  ANALYSIS OF DATA:

On trial one with the water, it took .89 sec. for the marble to 
reach the bottom of a 100 ml. graduated cylinder that was 21 cm. 
tall.  On trial two with the water, it took .61 sec. for the 
marble to reach the bottom.  On trial three with the water, it 
took .72 sec.  The average was .74 sec.  On trial one with the 
alcohol, it took .55 sec. for the marble to reach the bottom of 
the graduated cylinder.  On trial two with the alcohol, it took 
.51 sec. for the marble to reach the bottom.  On trial three 
with the alcohol, it took .62 sec.  The average was .56 sec.  On 
trial one with the oil, it took 4.04 sec. for the marble to 
reach the bottom of the graduated cylinder.  On trial two with 
the oil, it took 3.72 sec. for the marble to reach the bottom.  
On trial three with the oil, it took 3.68 sec.   The average was 
3.81 sec.  On trial one with the liquid soap, it took 3.54 sec. 
for the marble to reach the bottom of the graduated cylinder.  
On trial two with the liquid soap, it took 3.33 sec. for the 
marble to reach the bottom.  On trial three with the liquid 
soap, it took 4.81 sec.   The average was 3.89 sec.  On trial 
one with the honey, it took 71 sec. for the marble to reach the 
bottom of the graduated cylinder.  On trial two with the honey, 
it took 89 sec. for the marble to reach the bottom.  On trial 
three with the honey, it took 73 sec.   The average was 77.67 
sec.

IV.  SUMMARY AND CONCLUSION:

The longer it took for the marble to reach the bottom of the 
graduated cylinder, the higher viscosity of the liquid.  Alcohol 
had the lowest viscosity and honey had the highest viscosity.  
Therefore we reject our hypothesis which stated that water would 
have the lowest viscosity.

V.  APPLICATION:

We can apply our findings to the world outside the classroom by 
using this information when making brake fluid, since we would 
want a liquid with a low viscosity.  We can also apply our 
findings when making shock absorbers and making lubricants, 
since we would want a liquid with a high viscosity to make 
things work smoother.




Title:  What Part Of Cary, Illinois Has The Most Air Pollution?  

Student Researcher:  Kelley Mullaney 
School Address:  Cary Jr. High School  
                 233 Oriole Tr. 
                 Cary, IL 60013 
Grade:  Seventh 
Teacher:  Mrs. Shietzelt 

I.  STATEMENT OF PURPOSE AND HYPOTHESIS: 

My topic is on air pollution.  My hypothesis states that the 
middle of town will have the most air pollution because there is 
a train station, a stop light, a bank, and shops there that 
people drive to.

II.  METHODOLOGY: 

I tested my hypothesis by putting 3" by 5" index cards out in 
five locations around the town.  The materials that I used were 
2 jars of Vaseline, 1 roll of duct tape, 12 thumb tack, 54 3 by 
5 index cards, and 1 jar.  I put the Vaseline coated cards all 
around town and I put one card in an air tight jar for a 
control.  First, I measured 1/2 of gram of Vaseline.  Then I 
drew a perfect circle on 45 of the cards.  Then I smeared the 
Vaseline evenly on all 45 cards.  Then I asked my parents to 
drive me to five locations in town.  I left each cards outside 
for 48 hours and then picked them up and put new cards out.  I 
put out a total of nine cards in each location.  When I got home 
I counted the particles of air pollution on each card and 
recorded the data.  Finally, I put the cards in a safe place 
where no one could bother them.

III.  ANALYSIS OF DATA: 

The total number of air pollution particles for all 9 trails in 
the north part of town was 192.  The total number of air 
pollution particles for all 9 trails in the south part of town 
was 147.  The total number of air pollution particles for all 9 
trails in the east part of town was 196.  The total number of 
air pollution particles for all 9 trails in the west part of 
town was 215.  The total number of air pollution particles for 
all 9 trails in the central part of town was 1324.  The total 
number of air pollution particles for the control was 1.

IV.  SUMMARY AND CONCLUSION: 

I found out that the central part of Cary has the most air 
pollution.  My data led me to accept my hypothesis because the 
total number of air pollution particles there were significantly 
higher than anywhere else in town.

Further research could be done where I put the cards out in 
different locations around town to see what air pollution is 
like there.  Also, I would count the air pollution particles 
with a microscope instead of a magnifying glass to get a more 
accurate indication of the amount of air pollution.

V.  APPLICATION: 

My findings can help our town solve its air pollution problem 
because the town now knows where most of the pollution is 
occurring.



Title:  The Effects of Fertilizer on Plant Growth

Student Researcher:  Caroline Martin
School Address:  Parcells Middle School                  
                 20600 Mack Ave. 
                 Grosse Pointe Woods, Michigan 48236
Grade:  8
Teacher:  Marie DeLuca

I.  Statement of Purpose and Hypothesis:

The purpose of my experiment was to discover if plant growth 
varies with the amount of fertilizer administered.  My 
hypothesis stated that daily fertilization allows for more plant 
growth.  I believed this because fertilized plants are usually 
taller and healthier than unfertilized plants.      

II.  Methodology:

The materials necessary for my experiment were thirty identical 
plant seeds, three identical pots, soil, water, synthetic plant 
food, a ruler, an empty gallon-size bottle of milk, a 1/4 
measuring cup, duct tape, a pen, and a 1/4 teaspoon.

The procedure for my experiment was very simple.  It follows 
below:

1) Make the fertilizer water solution according to the 
directions on the package.  2) Poke holes on the bottom of the 
pot for drainage.  Take 2 cups of soil and pour it into the pot.  
Place a piece of tape on the pot and write "Daily" on it.  Now, 
take ten seeds and sprinkle just below the upper surface of the 
soil.  3) Place the pot by a windowsill.  4) Monitor the pot 
every day.  Water it with 1/4 cup of fertilizer water solution 
each day.  Make certain it is getting enough sunlight.  Measure 
the height of the seed sprouts each Sunday with a ruler and 
record the week and the height onto a data table.  5) After a 
period of 6 weeks, measure the plants for the final time and 
record the results.  Compare it to the other plants.  6) Repeat 
steps 1-6 for the other plants, but, in step 3, write "Weekly" 
on the label and, in step 6, water the plant with 1/4 cup of tap 
water Monday through Saturday.  On Sundays, water the plant with 
1/4 cup of fertilizer water solution.  7) Now repeat steps 1-6 
for the last plant, but in step 3 write "No fertilizer" on the 
label and, in step 6, water the plant with 1/4 cup of tap water 
each day.
                   
The independent variable in the experiment was the amount of 
fertilizer.  The dependent variable was the height of the 
plants.  The controls in my experiment were amount of water, 
amount of sunlight, amount and type of soil, amount and 
temperature of water, type of pot, and the type of fertilizer.
 
III.  Analysis of Data:

It took four weeks for the plants to develop an obvious 
difference in height.  The plants that were fertilized daily 
grew about an inch a week, the plants that were fertilized 
weekly grew about three quarters of an inch a week, and the 
plants that were not fertilized grew about half an inch a week.  
At 
the end of the experiment, the plants that were fertilized daily 
were nine inches tall.  They were about one and a half inches 
taller than the plants that were fertilized weekly.

IV.  Summary and Conclusion:

Daily fertilization allows for more plant growth.  My hypothesis 
which stated that daily fertilization allows for more plant 
growth was accepted.  The plants that were fertilized daily 
grew nine inches tall, the plants that were fertilized weekly 
grew seven and half inches, and the plants that were not 
fertilized grew five inches tall.

V.   Application:

I would suggest that gardeners apply my research only to plants 
grown indoors.  For further research, I would like to test the 
effects of daily fertilizing over a long period of time and also 
observe the effects of fertilization in plants grown outdoors.  
I highly suggest giving fertilizer to those growing plants in 
pots indoors, since it does allow plants to grow healthier and                  
fuller.


                          MATH SECTION


TITLE:  Does The Pythagorean Theorem Work?

STUDENT RESEARCHERS:  John Casey and Whitney Stoppel
SCHOOL:  Mandeville Middle School
         Mandeville, Louisiana
GRADE:  6
TEACHER:  John I. Swang, Ph.D.

I. STATEMENT OF PURPOSE:

We would like to do a mathematical proof regarding the 
Pythagorean Theorem which states that for any right triangle the 
square of the hypotenuse is equal to the sum of the squares of 
the other two sides (a2 + b2 = c2).  We want to see if the 
theorem works with right triangles of all sizes.  Our hypothesis 
states that the Pythagorean Theorem will always work for any 
size of right triangle.

II.  METHODOLOGY:

First we chose a topic.  Then we developed a statement of 
purpose.  Then we wrote a review of literature about Pythagoras, 
triangles, angles, the Pythagorean Theorem, and mathematics.  
Then we developed a hypothesis.  

Then we wrote a methodology to test our hypothesis.  Then we 
gathered our materials which included a ruler, graph paper, 
pencils, grid, and a data collection sheet.  Then we drew ten 
different sized right triangles on the graph paper.  Then we 
measured the sides of all ten triangles.   We took the 
measurements for each triangle and calculated the size of the 
hypotenuse using the Pythagorean Theorem.  Then we used the 
graph paper to find the size of the hypotenuse.  We squared each 
side of the right triangle and counted the number of square 
centimeters inside each side's square.  Then we compared the 
size of the hypotenuse found using the formula and the graph 
paper.  We did this to each of the triangles recording our data 
on a data collection sheet.

Then we analyzed our data on charts and graphs.  Next, we wrote 
our summary and conclusion where we accepted/rejected our 
hypothesis.  Finally, we applied our findings to the world 
outside the classroom.

III.  ANALYSIS OF DATA:

For triangle one, the hypotenuse was 40.8 centimeters squared 
when counted and 41 centimeters squared when calculated with the 
formula a2 + b2 = c2.  The difference between the counted and 
calculated values was .20 centimeters squared.  For triangle 
two, the hypotenuse was 10.24 centimeters squared when counted 
and 10 centimeters squared when calculated using the formula.  
The difference between the counted and calculated values was .24 
centimeters squared.  For triangle three, the hypotenuse was 
34.2 centimeters squared when counted and 34 centimeters squared 
when calculated.  The difference between the counted and 
calculated values was .20 centimeters squared.  For triangle 
four, the hypotenuse was 17.6 centimeters squared when counted 
and 17 centimeters squared when calculated.  The difference 
between the counted and calculated values was .40 centimeters 
squared.  For triangle five, the hypotenuse was 25.0 centimeters 
squared when counted and 25 centimeters squared when calculated.  
The difference between the counted and calculated values was .0 
centimeters squared.  For triangle six, the hypotenuse was 13.68 
centimeters squared when counted and 13 centimeters squared when 
calculated.  The difference between the counted and calculated 
values was .68 centimeters squared.  For triangle seven, the 
hypotenuse was 84.64 centimeters squared when counted and 85 
centimeters squared when calculated.  The difference between the 
counted and calculated values was .36 centimeters squared.  For 
triangle eight, the hypotenuse was 9.0 centimeters squared when 
counted and 8 centimeters squared when calculated.  The 
difference between the counted and calculated values was 1.0 
centimeters squared.  For triangle nine, the hypotenuse was 
27.04 centimeters squared when counted and 26 centimeters 
squared when calculated.  The difference between the counted and 
calculated values was 1.04 centimeters squared.  For triangle 
ten, the hypotenuse was 73.96 centimeters squared when counted 
and 74 centimeters squared when calculated.  The difference 
between the counted and calculated values was .04 centimeters 
squared.

The average difference between the counted and calculated values 
for all hypotenuse was .42 centimeters squared.

   |cm squared|cm squared|cm squared|  
   |Difference| Counted  |Calculated|     
   | Between  |Hypotenuse|Hypotenuse =  A    |   B    
   | C and M  | Squared  | Squared  | Squared| Squared|
                  (M)        (C)
 1 |  0.20cm2 |   40.8   |    41    |   16   |   25   |
 2 |  0.24cm2 |   10.24  |    10    |    1   |    9   |
 3 |  0.20cm2 |   34.2   |    34    |    9   |   25   |
 4 |  0.40cm2 |   17.6   |    17    |    1   |   16   |
 5 |  0.00cm2 |   25.0   |    25    |   16   |    9   |
 6 |  0.68cm2 |   13.68  |    13    |   04   |    9   |
 7 |  0.36cm2 |   84.64  |    85    |   36   |   49   |
 8 |  1.00cm2 |    9.0   |     8    |    4   |    4   |
 9 |  1.04cm2 |   27.04  |    26    |    1   |   25   |
 10|  0.04cm2 |   73.96  |    74    |   49   |   25   |
   |  0.42cm2 | Average Difference

IV.  SUMMARY AND CONCLUSION:

We found that this formula does work, therefore we accept our 
hypothesis which stated that the Pythagorean Theorem will always 
work for any size of right triangle.  The small difference 
between the counted and calculated values for the hypotenuse was 
due to the inaccuracy of our ruler and graph paper.  The 
research should be done again using more accurate instruments of 
measurement.

V.  APPLICATION:

We are able to apply our findings to the world outside the 
classroom by showing construction workers how to build roofs for 
houses or other triangular objects.  We can also use this 
information when we are in school.  Another thing we can use our 
finding for is making ramps with a specific height or length.



TITLE:  Is The Formula C = D x Pi Always Correct? 

STUDENT RESEARCHERS:  Chris Chugden and Amber French
SCHOOL:  Mandeville Middle School
         Mandeville, Louisiana
GRADE:  6
TEACHER:  John I. Swang, Ph.D.

I.  STATEMENT OF PURPOSE AND HYPOTHESIS:

We would like to see if the formula for finding the 
circumference of a circle, C = Pi x D, is always correct no 
matter how big or small a circle is.  Our hypothesis states that 
the formula C = Pi x D will always be accurate no matter how big 
or small the circle is. 

II.  METHODOLOGY:

First, we chose a topic.  Then we wrote our statement of 
purpose.  Next we wrote our review of literature about 
mathematics, Pi, geometry, circumference, diameter, and circles.  
Then we wrote a hypothesis.

Next, we developed a methodology to test our hypothesis.  Then 
we gathered our materials for our experiment which included 
cardboard, paper, pencil, scissors, tape measure, and the 
formula C = Pi x D.  Next, we made 10 circles out of cardboard 
with different diameters.  We calculated the circumference of 
the circles three times each using the formula C = Pi x D.  To 
test the formula we got a tape measure and measured around the 
circle.  We repeated these steps three times with the other 
circles, also.  We recorded our results on our data collection 
sheet.      

After we gathered our data, we marked down the results on a data 
collection form.  We used the form to conduct our analysis of 
data (charts, graphs).  Then we wrote a summary and conclusion 
where we accepted/rejected our hypothesis.  After concluding the 
project, we applied our findings to the world outside the 
classroom.      

III.  ANALYSIS OF DATA:

Our first circle had a diameter of 17 cm.  The difference 
between the circle's circumference calculated by the formula and 
measured a tape measure was 3.98 cm.  The second circle had a 
diameter of 19.5 cm.  The difference between the circle's 
circumference calculated by the formula and a tape measure was 
2.9 cm.  The third circle had a diameter of 11.2 cm.  The 
difference between the circle's circumference calculated by the 
formula and a tape measure was 1.83 cm.  The fourth circle used 
had a diameter of 7.4 cm.  The difference between the circle's 
circumference calculated by the formula and a tape measure was 
0.24 cm.  Circle five had a diameter of 8.3 cm.  The difference 
between the circle's circumference calculated by the formula and 
a tape measure was 0.86 cm.  Circle six had a diameter of 5 cm.  
The difference between the circle's circumference calculated by 
the formula and a tape measure was 0.30 cm.  Circle seven had a 
diameter of 10 cm.  The difference between the circle's 
circumference calculated by the formula and a tape measure was 
0.10 cm.  Circle eight had a diameter of 13.5 cm.  The 
difference between the circle's circumference calculated by the 
formula and a tape measure was 0.61 cm.  Circle nine had a 
diameter of 16 cm.  The difference between the circle's 
circumference calculated by the formula and a tape measure was 
3.24 cm.  Circle ten had a diameter of 10.4 cm.  The difference 
between the circle's circumference calculated by the formula and 
a tape measure was 0.26 cm.   

                                      Measured
Circle |  Pi  x Diameter = Circum.  | Circum.  | Difference |

| 1    | 3.14 |  17.0cm  | 53.38cm  | 49.40cm  |  3.98cm    |
| 2    | 3.14 | 19.5cm   | 61.30cm  | 58.40cm  |  2.90cm    |
| 3    | 3.14 | 11.2cm   | 35.17cm  | 37.00cm  |  1.83cm    |
| 4    | 3.14 |  7.4cm   | 23.24cm  | 23.00cm  |  0.24cm    |
| 5    | 3.14 |  8.3cm   | 26.06cm  | 25.20cm  |  0.86cm    |
| 6    | 3.14 |  5.0cm   | 15.70cm  | 16.00cm  |  0.30cm    |
| 7    | 3.14 | 10.0cm   | 31.40cm  | 31.50cm  |  0.10cm    |
| 8    | 3.14 | 13.5cm   | 42.39cm  | 43.00cm  |  0.61cm    |
| 9    | 3.14 | 16.0cm   | 50.24cm  | 47.00cm  |  3.24cm    |
| 10   | 3.14 | 10.4cm   | 32.66cm  | 32.40cm  |  0.26cm    |
|AVERAGE DIFFERENCE                               1.43cm    |    

IV.  SUMMARY AND CONCLUSION:

The average difference between the measured circumference and 
the calculated circumference for all the circles was 1.43 cm.  
Six of the ten circles had a difference of less than one 
centimeter.  Therefore, we accept our hypothesis which stated 
that the formula C = Pi x D will always give the correct length 
of a circle's circumference no matter how big or small the 
circle is.  Our experimental data wasn't always exactly the same 
as the data obtained from the formula because the precision of 
our measuring instruments and procedure was lacking.  This 
project needs to be repeated with more precise measuring 
utensils.

V.  APPLICATION:

We can apply our findings by using the formula in calculating 
the circumference of circles for math projects in schools and 
for other everyday uses such as constructing a fence.  If the 
area is circular, than you would need the circumference of the 
area to find out how much fencing you need.  Another use of our 
findings could be in projects in the future that have to do with 
Pi. 



TITLE:  Is The Formula For Finding The Surface Area Of A 
        Rectangular Prism Accurate?  

STUDENT RESEARCHER:  Christine O'Rourke And John Casey
SCHOOL:  Mandeville Middle School
         Mandeville, Louisiana
GRADE:  6
TEACHER:  John I. Swang, Ph.D.

I.  STATEMENT OF PURPOSE AND HYPOTHESIS:

We would like to do a mathematical proof to find out if the 
formula for finding the surface area of a rectangular prism, 
2(lw + lh + wh), is accurate.  Our hypothesis states that the 
formula for finding the surface area of a rectangular prism, 
2(lw + lh + wh), is accurate.

II.  METHODOLOGY:

First, we choose our topic.  Then we wrote our statement of 
purpose.  Next, we researched our topics and wrote a review of 
literature about mathematics, geometry, prisms, and rectangles.  
Then we wrote our hypothesis.

Next, we developed a methodology.  Then we conducted our 
research.  First, we found ten different size rectangular 
prisms.  Then we glued graph paper to all of the faces of the 
ten rectangular prisms.  Then we counted all the squares on the 
graph paper to find the surface area of each rectangular prism.  
Then we measured the length, width, and height of the prism and 
used these values in the formula, 2(lw + lh + wh), to find the 
surface area of each prism.  Next, we recorded our information 
in our data collection sheet.  Then we compared the two surface 
area values for each prism to see if the formula really worked.  
After that, we wrote our summary and conclusion where we 
accepted or rejected our hypothesis.  Finally, we applied our 
findings to the world outside our classroom.

III.  ANALYSIS OF DATA:

            The Surface Area Of Ten Rectangular Prisms

                                       Counted                  
         |Height |Width|Length|Formula|Squares|Difference|
  R.P. 1 |  17.4 |10.4 |  2.2 | 484.24| 484.24|   0.0    |
  R.P. 2 |  12.5 | 1.5 | 14.0 | 409.00| 411.3 |   2.3    |
  R.P. 3 |  17.5 | 2.5 | 10.5 | 497.00| 500.2 |   3.2    |
  R.P. 4 |  19.0 |11.6 |  4.0 | 685.6 | 685.6 |   0.0    |
  R.P. 5 |  20.4 |13.4 |  3.6 | 776.48| 785.28|   8.8    |
  R.P. 6 |  20.2 | 7.4 | 16.8 |1203.88|1205.36|   1.48   |
  R.P. 7 |  19.6 |16.8 |  9.4 | 940.56| 944.4 |   3.88   |
  Average|       |     |      |       |       |   2.9    |

  R.P.- Rectangular Prism


When the squares on the graph paper were counted for rectangular 
prism 1, it had a surface area of 484.24 sq. centimeters.  When 
using the formula, it had a surface area of 484.24 sq. 
centimeters.  The difference was 0.  When the squares on the 
graph paper were counted for rectangular prism 2, it had a 
surface area of 411.3.  When using the formula, it had a surface 
area of 409.  The difference was 2.3.  When the squares on the 
graph paper were counted for rectangular prism 3, it had a 
surface area of 497.  When using the formula, it had a surface 
area of 500.2.  The difference was 3.2.  When the squares on the 
graph paper were counted for rectangular prism 4, it had a 
surface area of 685.6.  When using the formula, it had a surface 
area of 685.6.  The difference was 0.  When the squares on the 
graph paper were counted for rectangular prism 5, it had a 
surface area of 785.28.  When using the formula, it had a 
surface area of 776.48.  The difference was 8.8.  When the 
squares on the graph paper were counted for rectangular prism 6, 
it had a surface area of 1205.36.  When using the formula, it 
had a surface area of 1203.38.  The difference was 1.98.  When 
the squares on the graph paper were counted for rectangular 
prism 7, it had a surface area of 944.4.  When using the 
formula, it had a surface area of 940.56.  The difference was 
3.84.  The average difference between the values for the surface 
area found with the graph paper and the formula was 2.9 sq. 
centimeters.

IV.  SUMMARY AND CONCLUSION:

We have found in this experiment that the formula for finding 
the surface area of a rectangular prism, 2(lw + lh + wh), is 
accurate.  Therefore we except our hypothesis which stated that 
the formula, 2(lw + lh + wh), is accurate for rectangular prisms 
of all sizes.

This research needs to be repeated using more precise instrument 
measurements to reduce measurement error.  The differences we 
found between the values for the surface area when counting 
square on the graph paper and using the formula were due to 
inaccurate measurements.

V.  APPLICATION:

We can apply this to the world by telling math text book 
companies that they don't have to change their books because the 
formula, 2(lw + lh + wh), is accurate.


                      SOCIAL STUDIES SECTION


TITLE:  A Student Survey About Cold and Flu Epidemics In Schools

STUDENT RESEARCHERS:  Chris Chugden, Amber French, James Rees,
                      and  Whitney Stoppel 

SCHOOL:  Mandeville Middle School
         Mandeville, Louisiana
GRADE:  6
TEACHER:  John I. Swang, Ph.D.

I.  STATEMENT OF PURPOSE AND HYPOTHESIS:

We would like to do a survey research project on what students 
know about cold and flu epidemics in schools.  We would also 
like to find out about students behavior at school which might 
expose them to germ that could make them sick.  We are concerned 
about this problem in our community's schools.  

Our hypothesis states that the majority of students will be at a 
high risk of getting sick because of their behavior at school.

II.  METHODOLOGY:

First, we identified a problem within our community which was 
viral epidemics in schools during the cold and flu season.  Then 
we developed a statement of purpose.  Next, we wrote a review of 
literature about epidemiology, viruses, the common cold, 
influenza, diseases, and public health.  Then we interviewed 
numerous community health professionals and school officials 
about viral epidemics in schools (the St. Tammany Parish School 
Board School nurses, the St. Tammany Parish School Board Census 
Department, the St. Tammany Parish Health Unit, and the St. 
Tammany Parish Hospital Health Education Program).  From the 
information we gathered, we developed our hypothesis and a 
methodology for testing our hypothesis.  Next, we constructed 
our questionnaire on the students' knowledge and experiences 
with cold and flu epidemics in school.  Then we handed out the 
questionnaire to 117 randomly chosen 4th, 5th, and 6th grade 
students at Mandeville Middle School in Mandeville, Louisiana, 
USA.  Then we put it out on the Internet for students around the 
district, state, nation, and world to complete.  After the 
completed questionnaires were returned, we scored them and 
recorded the data on a data collection form.  After that, we 
analyzed our data using simple statistics, charts and graphs.  
Then we wrote our summary and conclusion where we accepted or 
rejected our hypothesis.  Finally, we applied our findings to 
our school environment.

VIII.  ANALYSIS OF DATA:

A total of 1,801 students in grades 2 through 12 from 
California, Louisiana, Virginia, Illinois, Washington, DC, 
Mississippi, Wisconsin, Connecticut, Georgia, Washington, Iowa, 
Vermont, Massachusetts, Texas, Kentucky, Montana, New York, 
Nebraska, Michigan, Oregon, Kansas, Florida, Australia, New 
Zealand, and Brazil responded to our questionnaire.

A majority of 86% of the students responding to our 
questionnaire reported that lots of students at their schools 
get sick during the cold and flu seasons.  A majority of 82% 
reported that they usually catch a cold or the flu from someone 
at school.   

At Risk Behavior

A majority of 62% reported that they usually do not use soap 
when they wash their hands at school.  A majority of 80% 
reported that they usually don't wash their hands with soap 
before they eat lunch at school.  A majority of 93% reported 
that they usually don't wash their hands with soap before they 
eat a snack at school.  A majority of 62% reported that they 
usually share a drink with a friend at school by drinking out of 
the same bottle, cup, glass, or can.  A majority of 81% reported 
that they usually share snacks with their friends at school by 
eating out of the same bag or container.  A majority of 78% 
reported that they usually chew on their pencil, pen, or finger 
nails during class while at school.  A majority of 58% reported 
that they usually don't stay away from their friends if they 
come to school sick.  A majority of 87% reported that they 
usually lick their fingers after they have eaten a snack.  A 
majority of 72% believe that everyone picks their nose with 
their fingers at one time or another.  A majority of 73% believe 
everyone picks their teeth with their fingers at one time or 
another.  A majority of 61% reported that their teachers usually 
do not keep their classrooms ventilated by opening a window or a 
door during the day.  A majority of 73% reported that their 
classrooms usually get hot and stuffy in the winter time.  A 
small majority of 51% reported that they stay home from school 
when they are sick with a cold or the flu, but a majority of 54% 
also reported that their parents usually make them go to school 
when they have a cold or the flu.  

Healthy Behavior

A majority of 78% reported that they cover their mouth and nose 
when they sneeze or cough.  A majority of 76% reported that they 
usually don't share the same plate, fork, knife, or spoon when 
eating with their friends at school.  A small majority of 51% 
reported that their mouth or cheek doesn't usually touch the 
water fountain at school when they are getting a drink because 
the water does not come out strong enough.  A majority of 57% 
reported that other students rarely cough or sneeze on them at 
school.           

Factual Questions

A majority of 61% of the students did not know that colds and 
the flu are caused by viruses.  A majority of 85% knew that they 
can reduce the spread of germs by covering their nose and mouth 
when they cough or sneeze, washing their hands frequently, and 
keeping their fingers, pencils, etc. out of their nose and 
mouth.  A majority of 70% knew that touching phones, computer 
keyboards, library books, door knobs, desks, toilet flush 
handles, and chairs at school is a good way to contaminate their 
hands with germs that can make them sick.   

Designer Health Mask

A majority of 60% reported that they would NOT be willing to 
wear their very own Designer Health Mask at school during the 
cold and flu season.

IX.  SUMMARY AND CONCLUSION:

A total of 1,801 students from our school district and around 
the world responded to our questionnaire.

A majority of students do not use soap to wash their hands at 
school before eating lunch and snacks.  They share snacks out of 
the same bag and drink out of the same container with friends.  
They do not stay away from their friends when they come to 
school sick.  They chew on pencils, pens, and finger nails in 
class and lick their fingers after eating snacks.  They also 
believe that students pick their teeth and nose with their 
fingers.  

A majority of students report that they, and lots of other 
students, get sick at school during cold and flu seasons.  They 
try to stay home when they are sick, but their parents sometimes 
send them to school even though they are ill.  Their classrooms 
are not usually ventilated by their teacher and get hot and 
stuffy during the winter.

A majority would not be willing to wear a Designer Health Mask.  
Students in the lower grades tend to be more willing to wear the 
Designer Health Mask than students in the middle and upper 
grades.  This finding clearly demonstrates how important a 
health training program for the students' is.  Students must be 
educated about how a Designer Health Mask can help keep them 
well during the cold and flu season.

Finally, 83% of the students who responded to our questionnaire 
reported that they usually catch a cold or the flu from someone 
at school.  Therefore, we accept our hypothesis which stated 
that the majority of students will be at a high risk of getting 
sick because of their behavior at school.

X.  APPLICATION:

Now we know what behaviors and experiences students have at 
school that can expose them to germs which could cause them to 
get sick.  We can apply this to our school environment by 
starting a program that would get students in schools to change 
their behavior and to wear Designer Health Masks during the cold 
and flu season.  

We will distribute surgical masks to students and show them how 
to create  fashionable health masks decorated with art work of 
their choice.  This will hopefully motivate students to wear the 
masks during the flu and cold season.  

We will also produce an instructional video which will inform 
students about the different ways that they can help protect 
themselves from getting colds and the flu such as washing their 
hands, keeping thing like pencils and fingers out of their nose 
and mouth, not sharing eating utensils, not drinking out of the 
same can, cup, or bottle, covering their nose and mouth with 
their arm when they cough or sneeze,  ventilating their 
classroom, staying away from sick students, and staying home 
when they are sick so no one else will get infected from their 
illness. 



TITLE:   What Do Students Know And Feel About Prejudice?

STUDENT RESEARCHER: Matt Kubicek and Whitney Stoppel  
SCHOOL:  Mandeville Middle School
         Mandeville, Louisiana
GRADE:  6
TEACHER:  John I. Swang, Ph.D.

I.  STATEMENT OF PURPOSE AND HYPOTHESIS: 

We would like to do a survey research project on what students 
know and feel about prejudice.  Our hypothesis states that the 
majority of the responses to the factual questions on our 
questionnaire about prejudice will be answered correctly.

II.  METHODOLOGY:

First, we chose our topic.  Next, we wrote our statement of 
purpose.  Then we composed our review of literature about 
prejudice, discrimination, apartheid, KKK, white supremacy 
groups, genocide, civil rights, segregation, racism, anti-
semetism, sexism, ageism, bias, intolerance, and hatred.  

Next, we developed our hypothesis and wrote our methodology to 
test it.  Then we developed our questionnaire about prejudice.  
Then we drew a random sample of 26 sixth grade students at 
Mandeville Middle School in Mandeville, Louisiana.  We gave our 
questionnaire to them.  We also sent our questionnaire out over 
NSRC's electronic school district on the Internet to a non-
random sample of students from all over the world.  When the 
completed questionnaires were returned we scored them.  Then we 
conducted our analysis of data using simple statistics, charts, 
and graphs.  Next, we wrote our summary and conclusion.  
Finally, we applied our findings to the world outside our 
classroom.   

III.  ANALYSIS OF DATA:

A majority of 92% of the students we surveyed knew that 
prejudice is a hostile and negative attitude towards someone.  A 
majority of 58% of the students we surveyed knew that 
discrimination is an unjustified negative and harmful action.  A 
majority of 75% of the students we surveyed did not know that 
racial segregation sanctioned by law and widely practiced in 
South Africa was called apartheid.  A majority of 92% of the 
students we surveyed did not know that anti-Semitism is the 
prejudice against Jews.  All of the students we surveyed did not 
know that at age 5-6 children's attitudes, values, and beliefs 
which lead to prejudice are learned.  A majority of 58% of the 
students we surveyed knew that Nathan B. Forest started the KKK.  
A majority of 75% of the students we surveyed knew that The 
Americans with Disabilities Act provided handicapped people 
protection under the law from discrimination.  None of the 
students we surveyed knew that bias is to treat others in a 
prejudicial way.  A majority of 75% of the students we surveyed 
did not know that segregation is the separation of some people 
within a society from others.  A majority of 92% of the students 
we surveyed knew that racism is the belief that a certain race 
is better than another.  A majority of 75% of the students we 
surveyed knew that ageism is the belief that a certain age is 
better than another.  A majority of 83% of the students we 
surveyed knew that stereotypes are the belief that all 
individuals of a race or group are the same.  A majority of 83% 
of the students we surveyed knew that the Civil Rights 
guarantees freedom, justice, and equality to all people no 
matter what their race, religion, gender, or other 
characteristic unrelated to the worth of the individual is.  A 
majority of 64% of the students we surveyed knew that biological 
differences, rapid social change, historical beliefs, and 
cultural differences all cause racism.  A majority of 73% of the 
students we surveyed knew that sexism is the prejudice against a 
different gender.  A majority of 58% of the students we surveyed 
knew that genocide is the rapid killing of a certain race or 
group.  A majority of 73% of the students we surveyed did not 
think that everyone has prejudices.  A majority of 67% of the 
students we surveyed knew that white supremacy groups are active 
now in the United States of America.  

A majority of 58% of the students we surveyed thought that they 
did not have prejudices.  

IV.  SUMMARY AND CONCLUSION:

A small majority of 58% of the factual questions on our 
questionnaire about prejudice were answered correctly.  We 
accept our hypothesis which stated  that the majority of the 
responses to the factual questions on our questionnaire about 
prejudice will be answered correctly.  It should be noted that 
almost half (42%) of the responses to the factual questions were 
answered incorrectly.  This shows a significant lack of 
awareness about this important social problem today. 

V.  APPLICATION:

We can apply our findings by informing the government and 
schools that more about prejudice in all its forms needs to be 
taught in school.

© 1998 John I. Swang, Ph.D.