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Olga Caprotti, Mika Seppälä Jordi Saludes, Gloria Casanellas, Wanjiku Ng'ang'a Work funded by EDC-22253-WEBALT Advanced Language Technologies  for  Mathematical Markup
Vision in the Spirit of Jules Verne Professor oversees the instruction, graduate student propels the machine. Students learn by looking to a screen and listening
Mobile math
The future is here today ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Reusable Online Math Content ,[object Object],[object Object],[object Object],Such reusable content is  many times over more valuable  translate content for use across border
Multilingual mathematics ,[object Object],[object Object],[object Object],[object Object],[object Object]
Why multilingual math education ,[object Object],[object Object],[object Object]
Linguistic Minorieties  ,[object Object]
Linguistic Minorieties  ,[object Object]
Mathematics: a universal language ,[object Object],[object Object],[object Object],math EN FR ES IT DE FI SE CAT
WHY content markup?
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.
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MathDox Player in Moodle
Automatic Multilingual Exercise
Representation of problems ,[object Object],[object Object],[object Object],[object Object],[object Object],for interactivity and multilinguality Problem Sentence Mathematics
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
a ttrib([nlg:mood nlg:imperative nlg:tense nlg:present,    nlg:directive nlg:determine],plangeo1:are_on_line(A,B,C)) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],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
NL_Library Coverage ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Text and Math Editor
Good news and  bad news ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
 
Tools for Mathematical Markup W3C-Math WG survey You will get an email from us
Linguists

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Advanced Language Technologies for Mathematical Markup

Editor's Notes

  1. Mathematical markup languages like OpenMath and MathML offer the possibility to represent mathematical content in a level of abstraction that is not dependent on localized information. This representation typically focuses on the semantics of the mathematical object and postpones localization aspects of mathematics, such as those influenced by notation and by culture, to the rendering process of the markup. While typesetting of mathematical markup has been the object of a numerous efforts, from MathML-presentation to SVG converters, the rendering of mathematics in a "verbalized" jargon has not yet received similar attention. In this talk, I will present the results of the WebALT EU eContent project concerning the application of language technologies to the automatic generation of text from mathematical markup. Mathematical jargon is an important aspect of the education of students. Not only does a teacher train pupils in problem solving skills, but she also makes sure that they acquire a proper way of expressing mathematical concepts. To our knowledge, digital eLearning resources have used a representation in which text is intermixed with mathematical expressions even in situations where the actual abstract representation, for instance of the statement of a theorem, can be reduced to a single mathematical object. One reason for this representation choice is that the rendering process would otherwise produce a symbolic, typeset mathematical formula that might prove too difficult to understand for the students or simply just too hard to read. However, by representing this kind of mathematical text in a language-independent format such as the one provided by markup languages, it is possible to apply language technologies that generate the same text in a variety of languages including English, Spanish, Finnish, Swedish, French and Italian. The project results include editors for mathematical multilingual markup, a web service for generating multiple languages versions and a digital repository of multilingual interactive mathematical exercises and drill questions.