ThEdu'16 - Theorem Provers Components for Educational Software

^^ ThEdu's aims

Educational software tools have integrated technologies 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 currently 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.

^^ 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 and what kind of support TP can provide?
• Automated TP in geometry - relating intuitive evidence with logical rigor: specific provers, adaption of axioms and theorems, visual proofs, etc.
• 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, which suggests 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.

^^ Important dates:

^^ Program committee:

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