1 THE 20th SEFI Special Interest Group in Mathematics - SIG in Mathematics THE 20th SEFI Special Interest Group in Mathematics - SIG in Mathematics June 17th to June 18th 2021 University of Agder, Kristiansand, Norway Proceedings 2 THE 20th SEFI Special Interest Group in Mathematics - SIG in Mathematics Publisher: European Society for Engineering Education (SEFI), Brussels ISBN: 978-2-87352-022-9 Principal Editor: MatRIC, Department of Mathematical Sciences University of Agder 3 THE 20th SEFI Special Interest Group in Mathematics - SIG in Mathematics Programme Committee Burkhard Alpers, HTW Aalen, Germany Marie Demlova, Czech Technical University, Czech Republic Tommy Gustafsson, Chalmers University of Technology, Sweden Duncan Lawson, Newman University, UK Brita Olsson-Lehtonen, Finland Paul Robinson, TU Dublin, Ireland Daniela Velichova, Slovak University of Technology in Bratislava, Slovakia Deolinda Dias Rasteiro, Coimbra Institute of Enginering, Portugal Morten Brekke, University of Agder, Norway Tore Sandnes Vehus, University of Agder, Norway Local event committee Thomas Gjesteland, Professor, Department of Engineering Sciences, UiA Lillian Egelandsaa, Project Manager MatRIC, UiA Morten Brekke, Vice Rector, UiA Elisabeth Rasmussen, Higher Executive Officer, UiA Conference Conference contact: [email protected] Conference website: sefimwg2020.sciencesconf.org/ SEFI website: sefi.be/activities/special-interest-groups/mathematics/ SEFI SIG website: sefi.htw-aalen.de 4 THE 20th SEFI Special Interest Group in Mathematics - SIG in Mathematics Index Introduction .............................................................................................................................................................................................5 Paper 1. Probability and Statistical Methods: Assessing Knowledge and Competencies .................... (pre and during Covid19 pandemic) – case study at ISEC ..........................................................................................6 Paper 2. Mathematical Competence Assessment and Work in Groups ........................................................13 Paper 3. High Quality Tasks for E-Assessment in Mathematics ..........................................................................19 Paper 4. Design principles for final answer assessment in linear algebra: ..................................................... implications for digital testing .....................................................................................................................................................25 Paper 5. Mathematics for engineers: a case study about assessing ................................................................... knowledge and competencies ....................................................................................................................................................32 Paper 6. Mathematical Reasoning in Engineering Statics ......................................................................................45 Paper 7. Variations of engineering students’ attitude towards mathematics .................................................. across gender and age: A MIMIC model approach ......................................................................................................51 Paper 8. Gamification in the study of mathematics for engineering students ...........................................57 Paper 9. The Role of Visualization in Mathematics .....................................................................................................63 Paper 10. Tools of Distance Learning - Expectations and Experiences .........................................................69 Paper 11. New Guidelines for the National Curriculum ................................................................................................. Regulations for Engineering Education in Norway .......................................................................................................75 Paper 12. On the Understanding Mathematics ..............................................................................................................82 Paper 13. Mathematics in a Programme for Electronic Systems Design and Innovation ..................88 Paper 14. Three-Level System for Teaching Mathematics in Engineering Education ..........................94 5 THE 20th SEFI Special Interest Group in Mathematics - SIG in Mathematics Introduction The Steering committee of the SEFI Special Interest The programme of the Seminar included two plenary Group for Mathematics in Engineering Education keynote lectures presented by invited speakers from (MSIG), formerly the SEFI Mathematics Working Group Agder Univerity. Professor Simon Goodchild (director (MWG), is proud to present the proceedings of the 20th of MatRIC, Centre for Research Innovation and Seminar on Mathematics in Engineering Education Coordination of Mathematics Teaching, Norwegian organized by the Faculty of Engineering and Science, national centre for excellence in higher education) spoke University of Agder - Kristiansand, Norway, on June 17 about transformed and improved learning experiences – 18, 2021. The Seminar was held, following a one year of mathematics in engineering programmes. Professor delay, as an on-line event, due to worldwide pandemic Michael Rygaard Hansen (professor in mechatronics caused by Covid 19. and Dean of the Faculty of Engineering and Science at the University of Agder) presented a talk about The aims of SEFI MWG (now MSIG), established in mathematical modelling in mechanical engineering. 1982, although set 40 years ago, remain relevant and up-to date: SEFI MWG seminars were traditionally focused on guided discussions among participants during special • to provide a forum for the exchange of views and discussion sessions. The proposed topic this time ideas among those interested in engineering reflected urgent need of maths practitioners:”What did mathematics we learn from the Covid-19 experience for improving • to promote a fuller understanding of the role of future teaching and learning?” mathematics in the engineering curriculum and Good response to the seminar call for papers, its relevance to industrial needs represented by 14 accepted high quality papers with • to foster cooperation in the development of direct relevance to the seminar themes, resulted in a courses and support material very stimulating programme including 27 presentations related to important topics in mathematical education • to recognise and promote the role of mathematics of engineering students. All accepted contributions are in continuing education of engineers in included as full papers in the proceedings that are freely collaboration with industry. available at the SEFI MSIG webpage. SEFI MSIG’s main 19 seminars on mathematics in engineering education objective is to provide a summary of the topics dealt have been organised by the SEFI MWG since 1984, to with at the seminars and give free access to presented fulfil these aims and maintain international cooperation. papers to all interested parties., This is in accordance The current 20th seminar is the event organised in a with the group´s goal to gather all published materials most difficult situation and in unusual way, at distance, and reports related to identified important topics in in the form of an online meeting with presentations and mathematical education of engineers for building up a discussion sessions in smaller groups. sound body of knowledge in this field. Main seminar topics included traditional themes: Finally, the author would like to thank all members Mathematical competencies in practice and didactical of the SEFI MSIG Steering committee and the local research; How to assess competencies; The goal of organizers for doing the language check and editing of teaching; and a new one which arose as a result of a the proceedings for the benefit of all potential readers. pandemic situation and the urgent need for distance education, online strategies and e-learning- Subjects related to teaching adaptation for COVID-19. In Bratislava, June 2021 Daniela Velichová SEFI MSIG chair 6 THE 20th SEFI Special Interest Group in Mathematics - SIG in Mathematics Probability and Statistical Methods: Assessing Knowledge and Competencies (pre and during Covid19 pandemic) – case study at ISEC Deolinda M. L. D. Rasteiro & Cristina M.R. Caridade [email protected];[email protected] Coimbra Institute of Engineering, Portugal Abstract The concepts taught during a Statistical Methods course make use of different mathematical skills and competencies. The idea of presenting a real problem to students and expect them to solve it from beginning to end is, for them, a harder task then just to obtain the value of a probability given a known distribution. Much has been said about teaching mathematics related to day life problems. In fact, we all seem to agree that this is the way for students to get acquainted of the importance of the contents that are taught and how they may be applied in the real world. The study presented in this paper reflects an experience performed with second year students of Mechanical Engineering graduation of Coimbra Institute of Engineering, where the authors assessed Statistical Methods contents taught during the first semesters of 2017/2018 till 2020/2021 academic years. During the world pandemic of Covid 19, the need to transform teaching and learning methods was urgent and their impact on evaluation was also felt. As