|Theorem proving components for Educational software |
|Conferences on Intelligent Computer Mathematics|
|July 25-29, 2016|
| Bialystok, Poland|
Educational software tools have technologies integrated from CAS, from DGS, from Spreadsheets and others, but not from TP with few exceptions: the latter have been developed to model mathematical reasoning in software -- rigorous reasoning as a companion of calculating, which guarantees the unsurpassed reliability of mathematics. Providing students with insight in and experience with this kind of reliability is considered an essential aim of mathematics education.
TPs intrude into science as well as into industry: They are used to tackle difficult proofs in the science of mathematics, like the Four Color Problem or the Kepler Conjecture. In industry TPs are successfully used to verify safety critical software. This workshop addresses a window of opportunity during the still open development of TP.
The workshop provides a meeting place for educators and developers of educational mathematics software and experts in TP. The discussions shall clarify the requirements of education, identify advantages and promises of TP for learning and motivate development of a novel kind of educational mathematical tools probably establishing a new generation of such tools.
* Extended Abstracts: 4 June 2016
* Author Notification: 18 June 2016
* Final Version: 2 July 2016
* Workshop Day: TBA (25-29 July 2016)
Submissions via ThEdu'16 easychair.
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 TP should be provided?
* Automated TP in geometry -- relating intuitive evidence with logical rigor: specific provers, adaption of axioms and theorems, visual proofs, etc.
* Application of 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 modules, 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 etc.
We welcome submission of extended abstracts and demonstration proposals presenting original unpublished work which is not been submitted for publication elsewhere.
All accepted extended abstracts and demonstrations will be presented at the workshop. The extended abstracts will be made available online.
Contributions should be submitted via ThEdu'16 easychair.
Extended abstracts and demonstration proposals should be no more than 4 pages in length and are to be submitted in PDF format. They must conform to the EPTCS style guidelines (http://style.eptcs.org/).
At least one author of each accepted extended abstract/demonstration proposal is expected to attend THedu'15 and presents his/her extended abstract/demonstration.
Joint publication in companion with other CICM events is under consideration (e.g. http://ceur-ws.org/).
Francisco Botana, University of Vigo at Pontevedra, Spain
Walther Neuper, Graz University of Technology, Austria (co-chair)
Filip Maric, University of Belgrade, Serbia
Pavel Pech , University of South Bohemia, Czech Republic
Pedro Quaresma, University of Coimbra, Portugal (co-chair)
Vanda Santos, CISUC, Portugal
Wolfgang Schreiner, Johannes Kepler University, Austria
Burkhart Wolff, University Paris-Sud, France