Ariadne is a touch-based program for the learning of homotopies of paths, without the use of formalism, by building mental models. Using Ariadne, the user can construct points, paths by dragging points and homotopies by dragging paths as well as compute winding numbers of paths, all on a variety of surfaces, through touch gestures. Ariadne provides surfaces in two and three dimensions and an optional number of punctures. This environment enables the user to tackle questions regarding the equivalence of points by paths or paths by homotopies, because it allows only mathematically valid operations, i.e., paths and homotopies cannot pass through punctures on the surface. Ariadne is designed to let students of all ages and prior states of knowledge approach problems ranging from the construction of a path connecting points to the classification of all paths up to homotopy on a punctured plane, effectively calculating the fundamental group of a sphere.


    Zugriff

    Download


    Exportieren, teilen und zitieren



    Titel :

    Ariadne - A Digital Topology Learning Environment


    Beteiligte:

    Erscheinungsdatum :

    01.01.2019


    Anmerkungen:

    Suemmermann, Moritz Lucius (2019). Ariadne - A Digital Topology Learning Environment. Int. J. Technol. Math. Educ., 26 (1). S. 21 - 27. BURNHAM: RESEARCH INFORMATION LTD. ISSN 2045-2519


    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch


    Schlagwörter :

    Klassifikation :

    DDC:    629



    CAPTAIN MARRYAT and the ARIADNE

    Meyerstein, E. H. W. | Taylor & Francis Verlag | 1935




    An Introduction to the Verification of Hybrid Systems Using Ariadne

    Bresolin, Davide / Geretti, Luca / Villa, Tiziano et al. | Springer Verlag | 2014


    Ariadne: A Space Program Planning Decision Support Tool for Strategic Planners

    Coley, Mark D. / Maynard, Ian W. / Chudoba, Bernd | AIAA | 2021