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Students will set coordinates (GPS) of schools and other geographical points, convert them to 3D XYZ coordinates, then to a plane. It will allow to discuss such mathematical problems as travelling salesman problem and four-color theorem, area and center of mass of polygon etc. Students will plan the trip around Europe including all points in the project and describe interesting places they would visit.
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Partner school:
Collège les Eyquems, Merignac (France)
- Subjects: Art, Astronomy, Biology, Environmental Education, European Studies, Foreign Languages, Geography, Geology, History, History of Culture, Informatics / ICT, Language and Literature, Mathematics / Geometry, Natural Sciences
- Languages: EN
- Pupil's age: 11 - 15
- Tools to be used: Audio conference, Chat, e-mail, Forum, MP3, Other software (Powerpoint, video, pictures and drawings), Video conference, Virtual learning environment (communities, virtual classes, ...), Web publishing
- Aims: Students:
1. Use Maths skills and spatial imagination to solve new problems concerning common life and other subjects e.g. Geography.
2. Can join knowledge... read moreStudents:
1. Use Maths skills and spatial imagination to solve new problems concerning common life and other subjects e.g. Geography.
2. Can join knowledge from different subjects (Maths, Geography, Biology, History, Social Studies).
3. Communicate, write documents, find information and present it in English.
4. Use a wide range of ICT for learning and communication.
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- Work process: Students' activities:
General:
1. Log in to ning community, fill your page, add yourself to national group.
2. Let’s know each other - a chat... read moreStudents' activities:
General:
1. Log in to ning community, fill your page, add yourself to national group.
2. Let’s know each other - a chat for students.
3. Chose groups and tasks you are interested in; discuss it with your teacher.
4. Settle with your friends and teachers rules of communication.
5. Settle with teacher rules of evaluation.
6. Find on the Internet interesting places in the country chosen by teachers – use Unesco Heritage List.
7. Present 3 proposals of places you would like to recommend. Add photo and short description in ning.
8. Invite your parent(s) to ning.
9. Vote for one place in other countries, add your comment.
10. Teachers will do the final list of 4 points chosen by students.
11. Working in groups
12. Final presentation
Group: GPS and coordinations
1. In places chosen by teachers find people or institution which will help you to set BLh (GPS) coordination. Write official letters (e-mail) to them. Describe our ideas and ask for BLh coordinates.
2. Find on the Internet information on GPS. Present them in GoogleDocs Presentation (gdp)
3. Find people in your neighbourhood who use GPS. Do interview with them and write a short article on it in GoogleDocs Document
4. First mark the point on the ground. Set GPS coordination of your school using GPS receiver.
5. Write GPS coordinates in gds, both schools and institutions.
6. Take photos, publish them at ning and paste to gdp.
7. Find in GoogleEarth or another way coordinates of other points in the project (->General, pt.10), do the picture in GoogleEarth with all points of the project
8. Write coordinates of points in gds.
Outcomes:
1. gdp with: information on GPS, photos, article etc.
2. gdd with the interview
3. gds with GPS coordinates of schools and other points in the project
Group: 3D shapes of Earth
1. Find answers to questions written above – describe
2. Present 3D shapes of Earth in a graph programme or find it on the Internet
3. Transform GPS coordinates (-> GPS group, pt.5) into xyz cartesian system
4. Calculate and compare some distances (shortest and longest for example) between schools on ellipsoid (use GoogleEarth or another programme and BLh coordinates) and as a line segment (use gds, Pitagoras theorem and xyz coordinates)
5. Find and take picures of things looking similar to Earth. Compare their shapes with shape in pt.2
Outcomes:
1. gds with: xyz coordinates of points, 3D distances and substractions between them
2. Pictures of Earth and similar shapes
3. gdp with results of group's work
Group: 2D map – let’s make Earth flat!
1. Transform 3D xyz and BLh coordinates of points (-> group GPS) into xy (2D plane)
2. Calculate and compare distances between schools in 3D (-> group 3D) od 2D
3. Draw "the Map of schools" in 2D using xy coordinates and geogebra programme
4. Join points into triangles (the net) and colour it in a graph programme. How many colours you need
5. Find information on "4 colourem theory". What is a role of a computer in this theory
Outcomes:
1. gds with: 2D coordinations of points and distances between schools
2. Map of schools in 2D
3. information on 4 colourem theory
4. gdp with results of group's work
Group: Travelling salesman problem
1. What tsp is Describe and present results of your research in gdp.
2. Use "Map of schools" in 2D (-> group 2D map) and draw some possible trips from one point to another. Remember that you have to visit all points. How to find the shortest way Are there many possibilities
3. Solve tsp using Concorde programme (on a plane)
4. Solve tsp using tsp website (on roads)
5. Compare results in points 3 and 4. Find differences and similarities.
6. Plan a trip among the line in pt. 4. Compare the route with ViaMichelin website. Describe interesting places, number of km etc. How many days you need for this trip
Outcomes:
1. gdp with: information on tsp, description of the trip etc.
2. Pictures with a solution of tsp for project's points
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- Expected results: 1. GoogleDocs documents
2. GoogleDocs presentations
3. GoogleDocs spreadsheets
4. Website in ning
5. Photos and other graphic files
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