3. Tampere
• The third largest city in Finland with over 200,000
inhabitants. One of Finland’s fastest growing urban
centres and, according to a survey, the most popular
city to live and study in.
07.06.16 3
• Two universities:
Tampere University of
Technology and the
University of Tampere
with over 25,000
students.
4. • Promotional video
• Established in 1965
• Started operating in the form of a foundation in 2010
• 10,400 students (2012)
• Collaborates with 200 universities around the world
• Quality assurance system audited by The Finnish Higher
Education Evaluation Council in 2007
07.06.16 4
5. TUT in numbers in 2012
Degrees
BSc 712
MSc (Tech/Arch) 698
Licentiate and Doctor 99
Students in total 10,389
Undergraduate 8,789
Postgraduate 1,600
Total funding, EUR million 155
Budget funding 82
Supplementary funding 73
07.06.16 5
7. International university
• Almost 350 foreign
nationals among
employees
• Close to 1,400
exchange and visiting
students
• Collaboration with 200
universities around
the world
07.06.16 7
11. Faculty of natural sciences
at TUT
• Departments: Mathematics, Physics, Chemistry
• Service teaching (mathematics, physics,
chemistry)
• BSc and MSc -studies
• Teacher training: Matematics, Physics,
Chemistry, Information technology
• Yearly intake 50 students
• Degree program is one of the best at TUT
07.06.16 11
12. Department of Mathematics
Teaching
• Engineering mathematics (27 cu.) for all students
(700/year)
• Bachelor’s level
– Major and minor in mathematics (Finnish)
• Master’s level
– Major and minor in mathematics (English/Finnish)
– Teacher training
07.06.16 12
13. Engineering Mathematics 27
cu
• First year (4 periods)
– Engineering mathematics 1 5 cu (sets, functions,
continuity, differentiation, complex numbers)
– Engineering mathematics 2 5 cu (linear algebra)
– Engineering mathematics 3 5 cu (integrals and series)
– Engineering mathematics 4 4 cu (functions of several
variables))
07.06.16 13
14. Engineering Mathematics 27
cu
• Second or third year. Study programs recommend two of
the following courses:
– Algorithm matematics 4 cu
– Discrete matematics 4 cu
– Operational research 4 cu
– Probability theory 4 cu
– Statistics 4 cu
– Vector analysis 4 cu
07.06.16 14
15. BSc Major/minor 25 cu
– Matrix algebra 5 cu
– Complex analysis 5 cu
– Differential equations 5 cu
– Algebra 5 cu
– at least one selective course 5 cu
– BSc thesis (major) 8 cu
07.06.16 15
16. MsC Major in mathematics
• Analysis with applications
• Discrete mathematics with applications
• Mathematical and semantical modelling
• Teacher's major
07.06.16 16
18. Teacher training
• Double degree: engineering degree with
teacher’s licence:
• Mathematics 120 cu
• Physics 60 cu
• Pedagogical studies 60 cu
• Other 60 cu
• Total 300 cu
07.06.16 18
23. Technology enhanced
learning
• Support for first year students
– Basic skill’s test
– Remedial instruction
• Mathematical modelling network
• Learning analytics
07.06.16 23
24. Support for 1st year
students
07.06.16 24
Basic skill’s test
Remedial instruction
Mathematic’ clinics
Students work on remedial
instruction (MathBridge)
Student’s progress and work
during remedial instruction in
time
28. Engineering Mathematical
Competence (KOM, SEFI)
”the ability to understand, judge, do, and use
mathematics in a variety of intra- and extra-
mathematical contexts and situations in which
mathematics plays or could play a role”
”A Framework fo Mathematics Curricula in Engineering Education”,
SEFI 2013.
07.06.16 28
29. General Mathematical
Competencies for Engineers
– Competencies
• thinking mathematically
• reasoning mathematically
• posing and solving mathematical problems
• modelling mathematically
• representing mathematical entities
• handling mathematical symbols and formalism
• communicating in with and about mathematics
• making use of aids and tools
– Dimensions (of extent)
– Clusters (reproduction, connections, reflection)
07.06.16 29
31. Teaching and learning
environments
• Teaching and learning arrangements
• Transition to university from secondary eduction
• Mathematics technology
• Integrating mathematics curriculum into the engineering study
course
• Attitudes
07.06.16 31
32. Assesment
• Forms of assesment
• Requirements for passing
• Assessing competencies
• Technology supported assesment
07.06.16 32
34. Quality Assurance
• Forms of assesment
• Requirements for passing
• Assessing competencies
• Technology supported assesment
07.06.16 34
35. Friday groupwork
• Presentation of the courses
• Course comparison criteria
• Comparison of the courses against the criteria (filling in
Excel sheets)
07.06.16 35