A CIESE Collaborative Project

L’École Le Tournesol, Beloeil, Canada
Natural Learners, Mount Joy, Pennsylvania, USA
Rukmini Devi Public School, Delhi, India
MacKinnon Middle School, Wharton, New Jersey, USA
India-France collaboration
Cluj Napoca Romania
Escuela Hipólito Pérez Tello, Chitré Panamá

L’École Le Tournesol, Beloeil, Canada

L’École Le Tournesol est une école primaire qui accueille 427 élèves de la maternelle à la 6e année. Elle est située au cœur d’un quartier résidentiel dans la municipalité de Beloeil.Le groupe 501 se compose de vingt-neuf élèves, dont treize filles et seize garçons.  Ces élèves, à la fois uniques et différents, ont des intérêts variés.  Certains d'entre eux sont passionnés par l'histoire, l'improvisation, le dessin, le piano ou pour la lecture, tandis que d'autres ont les yeux remplis d'étoiles lorsqu'ils parlent de leur performance au hockey, au basket-ball, au base-ball, en patin artistique, en ski alpin, au soccer, aux quilles, à la boxe ou au football.  Malgré ces différences notoires, ils partagent tous cette merveilleuse soif d'apprendre. Et c'est moi qui ai la chance de les accompagner dans cette belle aventure.
Gisèle Viau

(72°48’ W - 45°35’ N)
date : 22/09/2008
gnomon : 15cm
ombre : 16,5cm
angle : 47°43’=47,72°


India-France collaboration (tuesday 09 september 2008 report)

Natural Learners, Mount Joy, Pennsylvania, USA

Natural Learners is a non-profit organization that supports and encourages self-directed learning in Central PA. Our members homeschool and come together for classes, activities and trips. We trust our children and their natural abilities and provide educational opportunities for them. The group of 12 participating in this project range in age from 10-16 and are studying Earth Science for the year. We meet each week in Mount Joy, PA (40 06'55.80" N 67 30'10.78" W)

Rukmini Devi Public School, Delhi, India

Greetings to all !

We are grade 8 students from Rukmini Devi Public School, located in the capital city-Delhi of India (Latitude: 28.4° N and Longitude: 77.2° E). Our country portrays a landscape of vibrant cultural heritage and spiritual mysticism. Its rich customs and traditions bind its people together. So despite so much of diversity, we live side by side in harmony. We love to celebrate almost every occasion and are good host.

Our school is a Senior Secondary School that caters to the classes pre-primary to higher secondary and age group ranging from 4- 17 years, with the strength of approximate 2000 students. Students here are exposed to the physical, intellectual, socio-cultural, emotional and spiritual learning. We make up a strong bond with our teachers and classmates.

School has rich infrastructure with state-of-the-art facilities and provides us with all modern amenities such as Library; Gymnasium; Science Park; Laboratories- Science Labs, Social Science Lab, Mathematics Lab, Language Lab, Robotics Lab; Auditorium; Technology Based Teaching Labs/Rooms; Computer Literacy Labs; IT Lab and Video Conferencing Room. We are provided with many choices to develop our mental faculties beyond academics such as Fine Arts- Dance (Classical & Folk), Music (Vocal & Instrumental), Painting/Craft, Sculpture or preparing Electronic & Electrical Gadgets, Photography, Tailoring and Embroidery, Interior Decoration and Dramatics; Sports- Athletics, Basketball, Handball, Kho-Kho, Volley Ball, Badminton, Table Tennis, Swimming etc.

We have been working on various collaborative projects from last few years. It is a real fun to measure the circumference of the earth using a method that was first used by Eratosthenes over 2000 years ago. Hoping forward to have an informative and interesting experience while working on the Noon Day Project.

For more information about us you are welcome to check our school’s website: www.rdpschool.com

Thank you

Final Report

We are grade 8 students from Rukmini Devi Public School, located in the capital city-Delhi of India (Latitude: 28.38° N and Longitude: 77.12° E) and doing this project as part of our subject “Collaborative Projects” in our school.

Firstly, our teacher explained us the set up and steps to measure the angle of the sun and circumference of the earth. We did our experiment on 22 September’ 2008 as it was Equinox on this day. We were fortunate to have sunny sky. Equinox is the time when the sun crosses the plane of the earth's equator, making night and day of approximately equal length all over the earth.

We were divided into groups of four to measure the angle of the sun. Out of 4 groups, we submitted the data, which was considered as best in comparison to the actual data. Here’s the procedure and measurements taken by that best group:

We started our experiment at 11.45 a.m. We took metal rod of 19.7 cm as our gnomon and marked the shadow made by it after every 5 minutes of interval until the shadow started increasing. Then, we found the length of shortest shadow which came out to be 10.7 cm, which was cast by the rod at 12.15 p.m. Then by making right angle triangle between length of rod and shortest shadow of the rod, we measured the angle of the sun. The angle of the sun was measured to be 28.5°.

We took data of Grovetown Middle School situated in Georgia, U.S.A to calculate the circumference of the earth, which was done as follows:

Latitude of Delhi, India = 28.38° N
Angle of Sun measured = 28.5°

Latitude of Georgia, USA = 33.45° N
Angle of Sun measured = 33.5°

MacKinnon Middle School, Wharton, New Jersey, USA

Grade Level: Sixth Grade Math/Tech. Enrichment

Latitude (e.g. 75° N): 40.89 N Longitude (e.g. 18° W): 74.58 W

The MacKinnon Middle School encompasses grades 6, 7 and 8. It is located in a small, suburban town near the north west of Morris County, New Jersey. The school is physically attached to two other constructions which house grades K through 5. This unique connection of multiple school buildings allows for sharing of support staff, library/tech lab, gymnasium and cafeteria. The newest construction completed in 2001, houses the Middle School population.

The students participating in this year’s Noon Day Project are all in Mrs. Riordan’s, Mr. McGrail’s and Ms. Briant’s Sixth Grade Math Classes. Mrs. Leary, the school’s technology and enrichment teacher, is conducting the Noon Day project with the students as an enrichment activity within their mathematics classes. All of the students have been preparing for this event over the past month by studying the website components and working through a very detailed unit on the geometry behind the story. The students have also been involved with lessons highlighting the history of Eratosthenes and his great endeavor.

The MacKinnon Sixth Graders are excited to get started. They look forward to performing the measurements and calculating Earth’s circumference during the week of Sept. 21st. We plan to post our finding on our school web site @ www.wbps.org .

Final Report:
This year the four sixth grade class sections, 6A, 6B, 6C and 6D worked in their mathematics classes to learn the history, scientific and mathematical elements behind the Noon Day Project. After a number on technology enriched lessons, activities, experiment simulations and geometry investigations, the students put together measuring stations for big day. Using meter sticks, cans of sand, string, plumb-lines and role paper MacKinnon 6th graders prepared for measuring the sun’s angle. The classes used the web quest links to determine that high noon during the week of the Fall Equinox, specifically on Sept. 24th, would be at 12:50PM in Wharton, NJ. At 12:20PM the students set out with their teachers and measuring stations to prepare for high noon measurements. After setting up, the students made several practice measurements and noted the shrinking shadows on their roll papers. Shadow lengths were marked and angles were measured and recorded outside.

The classes were divided into groups of 3 and 4 students. Upon returning to class the groups recreated their experiment and checked for accuracy of their measurements. Each group came to a consensus of data to submit to the class pool. The next step involved discussion and review of mean, median and mode. In each class large group discussion and vote determined the final data submission for each class. Several groups noted on their own the correlation between shadow angle and latitude.

In subsequent lessons the geometer’s sketch applets were used to investigate the central angle concepts. The groups then selected partner schools from the list to complete their circumference formulas. Some groups used schools along a similar line of longitude while others calculated latitudinal distances. Another whole class discussion and vote determined which group’s final calculation would be the one submitted to the website.

MacKinnon students have been participating in the Noon Day Project for a number of years. Over the last several years this project has become an annual event for sixth graders. The students enjoyed the experience and several hope to participate as an independent study in the spring. Some of the students wish to follow in the footsteps of the Class of 2007 who, as sixth graders, made a song and slideshow about the experimental and mathematical steps. This production is still enjoyed by our students and can be viewed @ http://mcubed4.tripod.com/id8.html . The current students hoping to take this idea to the next level will do so as a part of their G/T independent study time.

MacKinnon’s Results:
6A....Partner: Almonte, Ontario, Canada......44,730KM
6B....Partner: Scituate, MA.........................42,300KM
6C....Partner: Almonte, Ontario, Canada......44,370KM
6D.... Partner: Grovetown, GA....................39,696KM

Cluj Napoca Romania

Cluj Napoca

latitude 46°46’

Gnomon : 100cm
Angle : 46 25’ = 46,4167
Hour : 13h 20min
Shadow : 105,4cm

Xewkija MALTA
latitude : 36° 02' N
longitude : 14° 15' E

date : 22/09/2008
gnomon : 100cm
shadow : 73cm
angle = 36°


Escuela Hipólito Pérez Tello, Chitré Panamá

(80°25’ W - 07°58’ N)
date : 22/09/2008
angle : 08°20’=8,33°
Longitud del Gnomon : 100 cm