Welcome by the Department of Mathematics

Tampere University of Technology (TUT)

Seppo Pohjolainen

Tampere, Finland

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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.

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• Two universities: Tampere University of Technology and the University of Tampere with over 25,000 students.

• 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

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TUT in numbers in 2012Degrees BSc 712MSc (Tech/Arch) 698Licentiate and Doctor 99

Students in total 10,389Undergraduate 8,789Postgraduate 1,600

Total funding, EUR million 155 Budget funding 82Supplementary funding 73

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Undergraduate students of technology in Finland in 2012

02.05.23Ministry of Education: Vipunen-database

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International university• Almost 350 foreign

nationals among employees

• Close to 1,400 exchange and visiting students

• Collaboration with 200 universities around the world

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Faculty of natural sciences at TUT

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kök

Engineering BSc

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Engineering MSc

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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

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Department of MathematicsTeaching

• 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

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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))

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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

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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

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MsC Major in mathematics• Analysis with applications• Discrete mathematics with applications• Mathematical and semantical modelling• Teacher's major

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MsC Major in mathematics

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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

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Teacher training in mathematics

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Careers in mathematics• Researcher (academia)• Research Engineer (industry)• Teacher (school)

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Quality Assurance• University level: Council for education• Faculty: Council• Department:

– Teacher’s meetings– data collection– Student feedback– yearly modifications

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Student feedback

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Technology enhanced learning• Support for first year students

– Basic skill’s test– Remedial instruction

• Mathematical modelling network• Learning analytics

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Support for 1st year students

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Basic skill’s testRemedial instructionMathematic’ clinics

Students work on remedial instruction (MathBridge)

Student’s progress and work during remedial instruction in time

Mathematical modelling network

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Seven universities in Finland

•Video lectures& videconferencing

•Students’ collaboration and project work over the internet

Learning Analytics

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• Group/learner activity/grading

SEFIMathematics Curricula in Engineering Education

http://sefi.htw-aalen.de/Curriculum/Competency%20based%20curriculum%20incl%20ads.pdf

Seppo Pohjolainen

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.

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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)

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Contents• Content related competencies

– Core Level 0– Core Level 1– Corel level 2– Core level 3

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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

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Assesment• Forms of assesment• Requirements for passing• Assessing competencies• Technology supported assesment

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Anything else• Mathebridge competence• MathGear& MetaMath competences (Tuomas’s excel)• Other criteria, please specify

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Quality Assurance• Forms of assesment• Requirements for passing• Assessing competencies• Technology supported assesment

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Friday groupwork

• Presentation of the courses• Course comparison criteria• Comparison of the courses against the criteria (filling in

Excel sheets)

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TUT team

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• Welcome to Tampere

• Thanks !