Digital Mentoring for Mathematics

Free Resources for Automatic Mentoring Based on STACK in Moodle & ILIAS

Exercises

For Study Entrance Phase

Features

Enrich Digital Learning

Learning Analytics

Monitoring Learning Behavior

The Digital Mentoring project offers free and open source resources for mathematical learning in the learning management systems (LMS) Moodle and ILIAS. The offered resources add interactive elements and learning analytics to the default LMS mechanisms based on STACK. The project aims on lightweight implementations, that lecturers can easily adapt to their online courses with on-board tools of the LMS. Get an overview with the demo implementation or browse this site for specific information.

Exercises

We compiled 61 exercises for study beginners with the help of the STACK plugin. These exercises give error adaptive feedback for known error patterns, so that learners can gradually improve their mathematical skills. These exercises have already successful been tested in mathematics preparatory courses of several universities. You can download the free and open source exercises (e.g., as XML) and include them in your LMS (Moodle / ILIAS). Check the repository for further versions and information.

Interactive Features

Besides the integrated feedback of STACK exercsies, lecturers may want to implement additional interactive elements in their exercises. Famous examples are ad-hoc feedback, guidance, scaffolding or gamification elements. These can be realized with the help of Javascript, which has the advantage, that no additional plugin has to be installed. Check for example the endboss variant of the compiled exercise set (XML), which simply adds skull symbols to the hardest exercises. Or you may want to check the fantasy game variant (XML). The features can be used independently, thus, they can also be implemented in your exercises. Check the repository’s LMS-readable Packages Section for further variants and explanations.

Learning Analytics

Basing on the research related to the project, we developed a dashboard for STACK exercsies, that can be implemented in Moodle without the need of installing a plugin. The dashboard visualizes how learners use a quiz: their movements between exercises, amounts of attempts, helpfulness of feedback, amount of repetitions. To use it, simply copy the dashboard code and paste it into your browser’s console on your LMS course's site. For a step-by-step instruction and further opportunities to run the dashboard, please refer to the repository’s Effect Measurement Section.

Demo

You can directly try out the exercises and features in the online demo. In this demo, the exercises, designs and learning analytics approaches are implemented within the learning management system Moodle without any additional plugins.

Research

The following research articles have emerged from the project.

  • Neugebauer, M.; Erlebach, R.; Kaufmann, C.; Mohr, J.; Frochte, J. (2024): Efficient Learning Processes By Design: Analysis of Usage Patterns in Differently Designed Digital Self-Learning Environments. Proceedings of the 16th International Conference on Computer Supported Education. https://doi.org/10.5220/0012558200003693
  • Neugebauer, M. (2024): Lightweight Learning Analytics Dashboard for Analyzing the Impact of Feedback & Design on Learning in Mathematical E-Learning. Proceedings 18. Workshop Mathematik in ingenieurwissenschaftlichen Studiengängen. Preprint
  • Neugebauer, M., Tousside, B., Frochte, J. (2023). Success Factors for Mathematical E-Learning Exercises Focusing First-Year Students. In: Proceedings of the 15th International Conference on Computer Supported Education (CSEDU). https://doi.org/10.5220/0011858400003470
  • Neugebauer, M, Frochte, J. (2023). Steigerung von Lernerfolg und Motivation durch gamifizierte Mathematik-Aufgaben in Lernmanagementsystemen. In: 21. Fachtagung Bildungstechnologien (DELFI). https://doi.org/10.18420/delfi2023-39

Contact

I would be happy to help you use the materials in your courses. Please don’t hesitate to contact me: malte.neugebauer@w-hs.de.