Extreme Apprenticeship Method in Teaching University-Level Mathematics

Terhi Hautala, Tiina Romu, Johanna Rämö, Thomas Vikberg

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review


At the Department of Mathematics and Statistics in the University of Helsinki the courses Linear Algebra and Matrices I and II have traditionally been taught through lectures and take-home tasks. Although the pass rates have been satisfactory, the students’ level of understanding of the topics has not, which has been apparent in subsequent courses. The approach chosen to tackle this problem was to use the Extreme Apprenticeship method developed for teaching computer programming and implement it into teaching university-level mathematics. The courses under study in fall 2011 were among the largest courses at the department with hundreds of participants (N=361 and N=248). The results show that the students were satisfied with the new teaching method, and the passing rate did not drop even though the workload was significantly increased and the requirement level was raised.
Original languageEnglish
Title of host publicationPre-proceedings of the 12th International Congress on Mathematical Education
Number of pages10
Publication date8 Jul 2012
Publication statusPublished - 8 Jul 2012
MoE publication typeA4 Article in conference proceedings
EventInternational Congress on Mathematical Education - Seoul, Korea, Republic of
Duration: 8 Jul 201215 Jul 2012
Conference number: 12 (ICME-12)

Fields of Science

  • 111 Mathematics
  • 516 Educational sciences

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