eTwinning in practice MATHS & SCIENCE Teachers Palmira Ronchi Prague 13 -15 February 2009

Crop circles challenge! ICT tools for creative maths Surfing on Internet to find real crop circle photos Geometrical reconstruction using open source software GEOGEBRA www.geogebra.org and applets java Students’ work using graphic software and create a personalized version An intriguing challenge between European students to reconstruct Crop circles. Etwinning Awards 2006 - 1° prize as digital resources

http:// my.twinspace.etwinning.net / cropcircles

GeoGebra Dynamic geometry, algebra and calculus Open source (free of charge) It runs on Windows, Linux, Solaris, MacOS export as dynamic worksheets (html) www.geogebra.org

Open source (free of charge)

www.geogebra.org

Offers new possibilities 1: DGS Construct a circle equation is shown 2: CAS Enter the equation of a circle and plot Circle is plotted

1: DGS

Construct a circle

equation is shown

2: CAS

Enter the equation of a circle and plot

Circle is plotted

Activity based learning Iconic and Symbolic representations

22 languages

( Projects) Kits Ready-made project kits are step-by-step guides to successful eTwinning projects. eTwinning kits and modules Modules - NEW! eTwinning Modules are short activities which can be incorporated in any type of eTwinning project, no matter which subject. Modules are a great way to kick off a project, provide something different mid-way through or act as an evaluation tool at the end.

An example of MODULE ( Cultural awareness ) Walking patterns tour Activity 1 Becoming visible Students’ role : students in both participating schools organize a walking pattern tour in the vicinity of each partner school, looking for geometrical patterns and taking photos of them. Teachers’ role : teachers help, guide and monitor students in their first task of setting up the geometrical patterns.

PATTERNS

Reconstruction of Nautilus using Geogebra

Patterns walking in Prague Patterns walking in Prague

Patterns walking in Prague

Patterns walking in Prague

Patterns walking in Prague

Patterns in Galerie Fènix…

http:// twinblog.etwinning.net /10483/ http://www.youtube.com/ watch ?v=2N0mmWaySCU

MODULE ( Ice breaking activity ) Dots and boxes Age Group: 13-15 or 16-18 Level: Medium - Duration: 3-6 hours ICT tools: Twinspace, Audacity-web authoring tools, Camstudio open source software (free streaming video software http:// camstudio.org / ), mathematic open source software Geogebra www.geogebra.org .

An example of MODULE ( Ice breaking activity ) Dots and boxes online

An example of MODULE (Creativity) Tangram challenge

Subject: Principally mathematics and ICT, but can also encompass other subjects such as history, religion, geography, biology, physics, chemistry etc. Age Group: 10-12/ 13-16 Level Intermediate/Advanced Duration 1 school year An example of (Project) Kit POLYGLOMATH A multidisciplinary and cross-curricular school project, which engages all pupils in a study of the many geometrical and numerical patterns that occur naturally in every day life or which have evolved over time.

Subject: Principally mathematics and ICT, but can also encompass other subjects such as history, religion, geography, biology, physics, chemistry etc. Age Group: 10-12/ 13-16

Level Intermediate/Advanced

Duration 1 school year

The pupils through an initial search for geometrical patterns in the local area (see the short activity “Walking patterns tools”) and through co-operation between the partner schools, understand their own and the wider European cultural heritage. Furthermore the activities, develop a basic Encyclopaedia of Patterns in English. This encyclopaedia also includes a dictionary for translating the English words into the different languages used in the Etwinning partner schools and also into Latin. This can be used initially as an exchange and a competition between schools (Intermediate) , but teachers can enhance the maths geometrical re-constructions or the use of formula and numerical relationships using maths software and demonstrations( Advanced ). An example of (Project) Kit POLYGLOMATH

The pupils through an initial search for geometrical patterns in the local area (see the short activity “Walking patterns tools”) and through co-operation between the partner schools, understand their own and the wider European cultural heritage.

Furthermore the activities, develop a basic Encyclopaedia of Patterns in English. This encyclopaedia also includes a dictionary for translating the English words into the different languages used in the Etwinning partner schools and also into Latin.

This can be used initially as an exchange and a competition between schools (Intermediate) , but teachers can enhance the maths geometrical re-constructions or the use of formula and numerical relationships using maths software and demonstrations( Advanced ).

Polyglomath: Circular sector. Luigi, age 14,IISS Vivante,Italy. Open the program called “GEOGEBRA”. Choose a picture from Internet and put it into Geogebra. Select, in Geogebra; circular sector with center through two points. Draw 3 points(from right to left) And save the file. Greek: Εγκύκλιος τομέα German languages: German: Rundschreiben sektor English: Circular sector Dutch: Cirkulære sektor Swedish: Cirkulär sektorn Roman languages: Romanian : Circulara sectorul Italian: Settore Circolare Spanish: Sector circular French: Circulaire du secteur

Open the program called “GEOGEBRA”.

Choose a picture from Internet and put it into Geogebra.

Select, in Geogebra; circular sector with center through two points.

Draw 3 points(from right to left)

And save the file.

Greek: Εγκύκλιος τομέα

German languages:

German: Rundschreiben sektor

English: Circular sector

Dutch: Cirkulære sektor

Swedish: Cirkulär sektorn

Roman languages:

Romanian : Circulara sectorul

Italian: Settore Circolare

Spanish: Sector circular

French: Circulaire du secteur

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