Sharing Interactive Geometry in a Multilingual Europe

co-funded by the Community programme eContentplus

© Paul-G

eorg Meister / PIX

ELIO

Sharing Interactive Geometryin a Multilingual Europe

Paul Libbrecht

Weingarten University of Education, Germany

2014-09-11 MetaMath & MathGear Meeting SaarbrückenPaul Libbrecht - CC-BY-SA

about me

§ Paul Libbrecht§ former mathematician§ Switzerland, Canada

§ now informatician§ DFKI & Uni Saarland, PH Karlsruhe, MLU Halle

§ Now at Weingarten University of Education§ special focus: teacher pre-service teacher§ primary, lower secondary§ all branches taught at the school

§ pedagogy as a central topic

§ specialty of the state of Baden-Württemberg

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http://www.activemath.org/~paul


http://creativecommons.org/licenses/by-sa/3.0/fr/


http://upload.wikimedia.org/wikipedia/commons/3/37/Weingarten_Basilika_von_Nordwesten.jpg

http://upload.wikimedia.org/wikipedia/commons/3/37/Weingarten_Basilika_von_Nordwesten.jpg


menu

§ dynamic geometry

§ multilinguality and search

§ open educational resources

§ quality

§ i2geo experience

3intro • dynamic geometry • search • OER • quality • experience






What is Interactive Geometry

§ A geometric picture: a single case§ repeat? describe?

§ Manipulate a geometric construction: § let students or teachers explore§ take to limits, verify hypotheses,

§ Since the 80s: JM Laborde, N Jackiw, R Mechling, …

§ Alive in many communities:§ rather software and language-specific

§ one of the primary mathematics tool in schools4

who uses some?

intro • dynamic geometry • search • OER • quality • experience






Dynamic Geometry Example

5

Daniel Mentrard, Tableau de variation d’une fonctionhttp://i2geo.net/xwiki/bin/view/Coll_MD/Tableauxdevariationsinteractifs

French

specific?




http://i2geo.net/xwiki/bin/view/Coll_MD/Tableauxdevariationsinteractifs

http://i2geo.net/xwiki/bin/view/Coll_MD/Tableauxdevariationsinteractifs


Search for interactive resources

§ Dynamic geometry is very widespread

§ search for it?§ French: triangle rectangle => rectangles§ English: perpendicular bisector => angle bisectors

§ conceptual search is needed§ and conceptual annotations§ partly there at search engine (some languages)

§ I2geo’s approach: ontology of mathematical concepts§ topics with ontological inheritance§ competencies with relationships

6

demo







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Your search expanded to: (XWiki.AssetClass.trainedTopicsAndCompetencies:#Construct_perpendicular_bisectorXWiki.AssetClass.trainedTopicsAndCompetencies:#Perpendicular_Bisector)

Introduction à la médiatrice (6°)En salle informatique les élèves manipulent et observent les propriétés géométriques associées a la ...

by Calpe Anne INRP-IREM Lyon (contributed by Anne Calpe INRP-IREM Lyon) (updated 2009-03-22 18:29)

Tracer une perpendiculaire a une droite qui passe par un point donne qui ne se situe passur la droite

Animer la construction de la perpendiculaire a la droite AB passant par un point C en utilisant une ...

by Mike May, S.J.,(http://www.slu.edu/classes/maymk/GeoGebra/)

(contributed by Carole

Dording)

(updated 2008-12-05

14:01)

Tracer la mediatrice d'un segment de droiteAnimer la construction de la mediatrice dun segment de droite AB en utilisant une regle et un compas...

by Mike May, S.J., (http://www.slu.edu/classes/maymk/GeoGebra/) (contributed by Carole Dording) (updated 2008-12-05 14:00)

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Cross-curriculum Search and Annotate







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Dording)

(updated 2008-12-05

14:01)



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HOME

FIND

CONTRIBUTE

CONNECT

HELP

ABOUT I2GEO PROJECT

SPONSORS





partners.


FEATURED MEMBER








Go »


Become

a Member

English

Go »

Advanced Search

Simple Search

Simple Search








Dording)

(updated 2008-12-05

14:01)



showing 3 of 3

login name

password search


HOME

FIND

CONTRIBUTE

CONNECT

HELP

ABOUT I2GEO PROJECT

SPONSORS





partners.


FEATURED MEMBER








Curriculum Coverage


§ all educational levels of western Europe are entered

§ some Curriculum linking§ take official texts and link it to ontology

§ satisfies teachers‘ wishes

§ all authored bycurriculum-experts (translations, additions)






Open Educational Resources

§ Dynamic Geometry Systems’ files are… files§ that can be opened and played (with appropriate players)§ that can be adapted

§ i2geo only has Open Educational Resources§ delivered with a license§ free to re-use, copy, share, republish§ sometimes free to adapt or only outside commercial

§ easy to apply and re-use

§ the cost becomes§ prepare to teach, pull from trusted resources







OER Quality… a long Quest

§ Free share may mean as cheap as free beer

§ Only from recommended authors?

§ Take time to evaluate everything on the web?§ technical traps, mathematical issues, inconsistent behaviours§ e.g. the outer-surprise

§ start: trust what others trust§ => share quality evaluation

§ i2geo Quality: for dynamic geometry§ usability, stability, ease of use… example: pyramid’s

§ displayed, and influences the search

§ many other approaches (even Facebook’s!)12

After you get up and running (../../get-started/), you can place Font Awesome icons justabout anywhere with the <i> tag:

fa-external-link

<i class="fa fa-external-link"></i> fa-external-link

Looking for more? Check out the examples(../../examples/).

Speed up your App(http://www.launchbit.com/taz/9533-5050-111/) Deploy NewRelic today and get yourNerd Life shirt free!

ads via Carbon(http://carbonads.com)

(http://engine.carbonads.com/r?e=eyJhdiI6MjE0NTIsImF0IjoxLCJjbSI6NDk5MTIsImNoIjoxMjE1LCJjciI6MTY1NzQ1LCJkaSI6IjIzY2I2MjNiMDcxNDQ1ZDlhODM1NTQxZDZjY2NhY2YyIiwiZG0iOjEsImZjIjoyMTY5ODMsImZsIjo4OTY0NywibnciOjM5LCJydiI6MSwicHIiOjQ0ODQsInN0IjozMjI5MSwiem4iOjAsInRzIjoxMzg0MzQ1MzU5NjcwLCJ1ciI6Imh0dHA6Ly93d3cubGF1bmNoYml0LmNvbS90YXovOTUzMy01MDUwLTExMS8ifQ&s=uE-ATblTIRaOiCpr1TJj4XzJjfk)

fa-external-link · Unicode: f08e · Created: v1.0 · Categories: Web Application Icons


fa-external-link













http://i2geo.net/xwiki/bin/view/Systems/DisplayGeoGebra?asset=Coll_cdording.Sommedesanglesduntriangle&xpage=popup

http://i2geo.net/xwiki/bin/view/Systems/DisplayGeoGebra?asset=Coll_cdording.Sommedesanglesduntriangle&xpage=popup

http://i2geo.net/xwiki/bin/view/QR/Coll_Pech__Rezjehlanurovinoua_1

http://i2geo.net/xwiki/bin/view/QR/Coll_Pech__Rezjehlanurovinoua_1


Quality is Social

§ consider How to create a class wiki§ is it good?§ I trust Neil’s comment… so I should trust it?

§ quality is a personal measure

§ may be leveraged by trust§ social networks!

§ Open Discovery Space§ large European project§ social network and resources’ sharing in one§ gather resources from many (~500’000)

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fa-external-link












http://portal.opendiscoveryspace.eu/edu-object/how-create-class-wiki-669586

http://portal.opendiscoveryspace.eu/edu-object/how-create-class-wiki-669586


Re-use? (sayings)

§ Preparation of Math-Bridge (1st attempt):(partner, we)§ p: Will there be an authoring tool?§ w: Sure, but there will be content ready to use.§ p: Mmh, but our teachers do not want to re-use.§ w: why not?§ p: these are proud men, they want to make their own.

§ Joke about German professors:§ Re-use my colleagues course?§ Rather his toothbrush!







Re-use?

§ i2geo.net hosts§ ~3500 resources, ~2700 users

§ final objective: help teachers apply§ … use and re-use

§ observation of practices:§ technicalities can still drown§ incompatible format? not bad… just redo§ dark re-use!

§ language crossing happens sometimes§ mathematics may be the best there§ but: different mathematical cultures!






2014-09-11 MetaMath & MathGear Meeting SaarbrückenPaul Libbrecht - CC-BY-SA 16

§děkuji, §danke schön§dank u wel§muchas gracias, gràcies,§merci,§obrigado, §thank you,

§dziękuję,

§спасибо,

§niżżik ħajr ..., dankon

i2geo.net



