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Multilingual Mathematics in WebALT Olga Caprotti Jordi Saludes, Gloria Casanellas Work funded by EDC-22253-WEBALT
WebALT Team of Linguists ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],those to be thanked for the good work
Multilingual mathematics ,[object Object],[object Object],[object Object],[object Object],[object Object]
Why multilingual math education ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Mathematics: a universal language ,[object Object],[object Object],[object Object],EN FR ES IT DE FI SE CAT math
Language Generation in WebALT ,[object Object],[object Object],[object Object],[object Object],[object Object],Generate multilingual verbalizations for  mathematical problems Study of the state of the art in multilingual and multicultural creation of digital mathematical content.  L. Carlson, J. Saludes, A. Strotmann.  WebALT Project Deliverable D1.2., April 2005.
Multilingual problem rendering MathDox Multilingual Exercise in Moodle
Multilingual problem rendering Automatic Multilingual Exercise
Representation of problems ,[object Object],[object Object],[object Object],[object Object],[object Object],for interactivity and multilinguality Problem Sentence Sentence Mathematics
OpenMath, MathML, Math-QTI ,[object Object],[object Object],Math-QTI   is the extension of  QTI , IMS Questions and Testing Interoperability, where mathematics is done using OpenMath. Developed by Serving Mathematics Project.
Multilingual Short Problems ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],EN FR ES IT DE FI SE CAT OpenMath
Attrib([nlg:mood nlg:imperative nlg:tense nlg:present,    nlg:directive nlg:determine],plangeo1:are_on_line(A,B,C)) Determine if A, B and C are collinear.  Määritä ovatko A, B ja C suoralla.  Determina si A, B y C son colineales.  Déterminer si A, B et C sont sur une droite.  Determina se A, B e C sono su una linea.  Bestäm om A, B och C är på en linje.  Note the linguistic differences: Imperative vs. Infinitive Adjectives vs. Adverbial phrases
Grammatical Framework ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Aarne Ranta, Chalmers
Mathematical Problem Grammars ,[object Object],[object Object],[object Object],Abstract Grammars 175 OpenMath symbols 36 categories 12,000 lines of code 158 source files (Not including the catalan  resource grammar. This part itself contains a bit less than 10,000 lines). Concrete Grammars
Multilingual Sentence Editing
WebALT NLG Service ,[object Object],[object Object],[object Object],[object Object],[object Object]
Hands-On Session ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The future ,[object Object],[object Object],[object Object],[object Object]

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Multilingual Mathematics in WebALT