Innovative E-Learning Approaches in University Math Education

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Explore the use of e-learning in university math education, focusing on the implementation of MUMIE to support pedagogical concepts, self-assessment tests, and the integration of new teaching methods. Discover how these innovative approaches enhance learning outcomes and student engagement in the field of mathematics. The article also discusses TuMult, a personalized learning concept, and the impact of automated diagnostic testing on improving math competence among students.

  • E-Learning
  • Math Education
  • University
  • MUMIE
  • Pedagogical Concepts
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  1. E-Learning in University Math-Education Experience and Perspectives in the Use of the Teaching and Learning Environment Kees Vuik, TU Delft March 21, 2013, 3TU HBO schakelprogramma

  2. Results March 21, 2013, 3TU HBO schakelprogramma

  3. MUMIE supports a broad variety of pedagogical concepts Blackboard + Multimedia Interactive Script Teamwork - Tutor is Coach Learner Centred Visualisation personalized, automatically corrected home work with demo + training Multimedia DB

  4. MUMIE: Integrated in regular teaching Linear Algebra for Engineers: Blended learning COMA Computer oriented Mathematics: Blended learning GLET Foundations of Electrical Engineering: Supplementary Material Self Assessment Test Linear Algebra Analysis Several other courses Introductory Course Complex Numbers March 21, 2013, 3TU HBO schakelprogramma

  5. The pedagogical concept TuMult preparation for the lecture: personalized, automatic correction, demo + training interactive script forum self- study pre- learning to broaden competence, to check achievement: personalized, automatic correction , demo+training home work blackboard + multimedia components from MUMIE- DB lecture math- laboratory tutorial learner centered work supported by tutors work in groups lead by tutor as coach March 21, 2013, 3TU HBO schakelprogramma

  6. MUMIE proves: New pedagogical concepts like TuMult bring qualitative improvement of learning results. March 21, 2013, 3TU HBO schakelprogramma

  7. Online Self Assessment Test Elementary Mathematics math competence among students differ a lot students and teachers need to know: What are the prerequisites for the upcoming courses Goals: self assessment of missing pieces of knowledge and competences first step towards: automated diagnostic testing March 21, 2013, 3TU HBO schakelprogramma

  8. Online Self Assessment Test Elementary Mathematics Questions from school mathematics for the understanding of freshmen courses Multiple Choice common mistakes among choices variables randomized pooled problems can be repeated indefinitely at all times immediate automatic feedback March 21, 2013, 3TU HBO schakelprogramma

  9. Online Self Assessment Test Elementary Mathematics presently about 200 problems + variants large part of syllabus covered first launch: August 2008 more than 600 participants perspective improve feedback more problems automated diagnostic testing March 21, 2013, 3TU HBO schakelprogramma

  10. MUMIE based on modern Web-Technology JAVA- applets interactive, personalised, multi-linguale dynamically generated web pages forum mathematically motivated taxonomy, semantic net visualization of complex concepts Text with math formulas interactive, dynamic demos/training/problems Communication between HTML-page and applet multimedia data base (XML, MathML, Latex, applets, images, Flash, Audio) March 21, 2013, 3TU HBO schakelprogramma

  11. MUMIE content: flexible, reusable, sustainable authors lecturers all users Latex editor for semantic nets data base browser applets (MUMIE-Dialect) MathletFactory (ClassLib) MathML converter XML converter multimedia data base (XML, MathML, latex, applets, images, flash, audio)

  12. Open Content Open Platform open licensing model platform + applets: content: open, extendable system architecture e.g. integration into Learning-Management-System Moodle (ETH-Z rich) open content data base integration of content from other projects integration of MUMIE-content into other projects. Open Source: optimal for academic environment flexible, cheep but not for free! LinAlg: MUMIE-corrections ~ 45 Teaching assistents (60h) March 21, 2013, 3TU HBO schakelprogramma

  13. MUMIE Community professional services for open source community: open source ommunity tools : development repository wiki and forum March 21, 2013, 3TU HBO schakelprogramma

  14. Support Successful Student Mobility with MUMIE (S3M2) an EU project using web-based bridge courses. Consortium: Delft University of Technology Kungliga Tekniska H gskolan Aalto University http://www.s3m2.eu/ Technische Universit t Berlin integral-learning GmbH, Berlin March 21, 2013, 3TU HBO schakelprogramma

  15. Questions March 21, 2013, 3TU HBO schakelprogramma

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