7-10 Sep 2016
Targu Mures, Romania
Deadline extended: Call for Abstracts and Posters
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eduTPS: "Justifying (in) Math"
Working Group on Education and TP Technology
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at CADGME 2016
September 7-10, 2016, Targu Mures, Romania
https://cadgme.ms.sapientia.ro/
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New Deadline:
Abstracts: May 2, 2016
Posters: May 2, 2016
The abstracts of contributed talks and posters will be published on the
conference proceedings website. The length is maximum 300 words.
Abstracts and posters should be submitted as unformatted texts on the
Easy Chair system: https://easychair.org/conferences/?conf=cadgme2016
Aims of the working group eduTPS:
Mathematics is not only calculating, numeric and symbolic calculation,
not only explaining with figures --- the distiguishing feature of math
is justifying and deducing properties of mathematical objects and
operations on firm grounds of logics.
So Computer Algebra Systems (CAS) model calculation, Dynamic Geometry
Systems (DGS) model figures --- and (Computer) Theorem Provers (TPS)
model deduction and reasoning, mechanised by formal logic.
TPS are widely unknown despite the fact, that recent advances in
mathematics could not have been done without them (e.g. mechanised
proofs of the Four Colour Theorem, of the Kepler Conjecture, etc.), that
TPS are becoming indispensable in verification of requirements on
complex technical systems (e.g. google car) and despite the fact, that
leading TPS have math mechanised from first principles (axioms) to all
undergraduate math and beyond.
So the working group "eduTPS: justifying math" addresses a wide range of
topics, from educational concepts of reasoning, explaining and
justifying and from respective classroom experience on the one side to
technical concepts and software tools, which mechanise and support these
mathematical activities, on the other side.
We elicit contributions from educators to the educational side as well
as TP experts to the technical side --- the working group shall
interactively elaborate on the connections between the two sides,
connections which are not yet clarified to a considerable extent.
Narrowing the apparent gap between TP technology and educational
practice (and theory!) concerns the distinguishing essence of
mathematics and may well lead to considerable innovations in how we
teach and learn mathematics in the future.
Points of interest include:
* Adaption of TP -- concepts and technologies for education: knowledge
representation, simplifiers, reasoners; undefinednes, level of
abstraction, etc.
* Requirements on software support for reasoning -- reasoning appears
as the most advanced method of human thought, so at which age
which kind of support by TP should be provided?
* Automated TP in geometry -- relating intuitive evidence with logical
rigor: specific provers, adaption of axioms and theorems, visual
proofs, etc.
* TP components in SW for engineers -- Formal Methods
increasingly advance into engineering practice, so educational
software based on TP components could anticipate that advancement.
* Levels of authoring -- in order to cope with generality of TP:
experts adapt to specifics of countries or levels, teachers adapt
to courses and students.
* Adaptive dialogues, students modeling and learning paths -- services
for user guidance provided by TP technology: which interfaces
enable flexible generation of adaptive user guidance?
* Next-step-guidance -- suggesting a next step when a student gets
stuck in problem solving: which computational methods can extend
TP for that purpose?
* TP as unifying foundation -- for the integration of technologies
like CAS, DGS, Spreadsheets etc: interfaces for unified support of
reasoning?
* Continuous tool chains -- for mathematics education from high-school
to university, from algebra and geometry to graph theory, from
educational tools to professional tools for engineers and
scientists.
Programme Committee:
Zoltán Kovács, Johannes Kepler University, Austria
Filip Maric, University of Belgrade, Serbia
Walther Neuper, Graz University of Technology, Austria (co-chair)
Pavel Pech, University of South Bohemia, Czech Republic
Pedro Quaresma, University of Coimbra, Portugal (co-chair)
Judit Robu, Babe?-Bolyai University Cluj, Romania
Vanda Santos, CISUC, Portugal
Róbert Vajda, University of Szeged, Hungary
Wolfgang Windsteiger, Johannes Kepler University, Austria
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