Skip to main content
SpringerLink
Log in

Designing an Inclusive and Accessible Mathematical Learning Environment Based on a Theorem Prover

  • Conference paper
  • First Online:
Computers Helping People with Special Needs (ICCHP-AAATE 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13341))

Abstract

A novel approach to design an inclusive and accessible mathematical learning environment is presented: The technology of theorem proving shall be employed to support a student in solving mathematical problems by giving hints to him/her based on formal proofs of each step in a calculation. The system shall be made accessible by making use of the built-in accessibility coming with VSCode, a standard editor used as front-end for the theorem prover Isabelle.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    https://www.chromium.org/chromium-projects.

  2. 2.

    https://www.jku.at/institut-integriert-studieren.

  3. 3.

    https://isac.miraheze.org/wiki/History.

  4. 4.

    https://isabelle-dev.sketis.net/source/isabelle/browse/default/src/Tools/VSCode/extension.

  5. 5.

    The formalisations use brackets “[” and “]” denoting lists as usual in functional programming. Some inner lists, actually, are interpreted as sets.

References

  1. Back, R.J.: Structured derivations as a unified proof style for teaching mathematics. TUCS Technical Report 949, TUCS - Turku Centre for Computer Science, Turku, Finland (2009)

    Google Scholar 

  2. Karl, N.: Developing an Inclusive Approach for Representing Mathematical Formulas. Master’s thesis, Hagenberg University of Applied Sciences, Linz, Austria (2016). https://static.miraheze.org/isacwiki/0/02/Masterthesis_NatalieKarl.pdf

  3. Krempler, A., Neuper, W.: Prototyping systems that explain themselves for education. In: Quaresma, P., Neuper, W. (eds.) Proceedings 6th International Workshop on Theorem proving components for Educational software, Gothenburg, Sweden, 6 Aug 2017. Electronic Proceedings in Theoretical Computer Science, vol. 267, pp. 89–107. Open Publishing Association (2018). https://doi.org/10.4204/EPTCS.267.6, https://arxiv.org/abs/1803.01470v1

  4. Mahringer, M.: Formula Editors for TP-based Systems. State of the Art and Prototype Implementation in ISAC. Master’s thesis, University of Applied Sciences, Hagenberg, Austria (2018). https://static.miraheze.org/isacwiki/d/d7/Mmahringer-master.pdf

  5. Paulson, L.C., Nipkow, T., Wenzel, M.: From LCF to Isabelle/HOL. Formal Aspects Comput. 31, 675–698 (2019). https://doi.org/10.1007/s00165-019-00492-1

  6. Wenzel, M.: Isabelle/Isar – a generic framework for human-readable proof documents. In: Matuszewski, R., Zalewska, A. (eds.) From Insight to Proof – Festschrift in Honour of Andrzej Trybulec, Studies in Logic, Grammar, and Rhetoric, vol. 10, no. 23. University of Białystok (2007). https://www21.in.tum.de/~wenzelm/papers/isar-framework.pdf

Download references

Author information

Authors and Affiliations

  1. Johannes Kepler Universität Linz, Linz, Austria

    Bernhard Stöger & Klaus Miesenberger

  2. RISC Linz, Linz, Austria

    Walther Neuper

  3. Dr. Wenzel, Augsburg, Germany

    Makarius Wenzel

  4. University of Applied Sciences Upper Austria, Wels, Austria

    Thomas Neumayr

Authors
  1. Bernhard Stöger
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Klaus Miesenberger
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Walther Neuper
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Makarius Wenzel
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Thomas Neumayr
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bernhard Stöger .

Editor information

Editors and Affiliations

  1. Johannes Kepler University, Linz, Austria

    Klaus Miesenberger

  2. National and Kapodistrian University of Athens, Athens, Greece

    Georgios Kouroupetroglou

  3. European University Cyprus, Engomi, Cyprus

    Katerina Mavrou

  4. University of California at Santa Cruz, Santa Cruz, CA, USA

    Roberto Manduchi

  5. Politecnico di Milano, Milan, Italy

    Mario Covarrubias Rodriguez

  6. Masaryk University, Brno, Czech Republic

    Petr Penáz

Rights and permissions

Reprints and permissions

Copyright information

© 2022 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Stöger, B., Miesenberger, K., Neuper, W., Wenzel, M., Neumayr, T. (2022). Designing an Inclusive and Accessible Mathematical Learning Environment Based on a Theorem Prover. In: Miesenberger, K., Kouroupetroglou, G., Mavrou, K., Manduchi, R., Covarrubias Rodriguez, M., Penáz, P. (eds) Computers Helping People with Special Needs. ICCHP-AAATE 2022. Lecture Notes in Computer Science, vol 13341. Springer, Cham. https://doi.org/10.1007/978-3-031-08648-9_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-08648-9_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-08647-2

  • Online ISBN: 978-3-031-08648-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation