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Knut Martin Mørken

Vice Dean (Studies and Education), Professor

Email knutm@math.uio.no

Mobile phone +47 91 69 38 59

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Visiting address Sem Sælands vei 24 Fysikkbygningen 0371 OSLO

Postal address Postboks 1032 Blindern 0315 OSLO

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Academic Interests

My main interest is approximation theory, particularly derivation and analysis of algorithms for approximation of functions, curves, surfaces and volumes. I am especially interested in all aspects of spline functions and their theory.

In recent years I have also spent considerable time introducing a coherent computational perspective in the elementary teaching in the mathematically oriented sciences. This involves cooperation with colleagues in several different departments and was originally organised in the CSE (Computers in Science Education) project, now known as CCSE – Centre for Computing in Science Education. CCSE is awarded as a Centre of Excellence in Education Initiative (SFU) by The Norwegian Agency for International Cooperation and Quality Enhancement in Higher Education (DIKU), which is a prestigious national initiative for higher education.

Teaching

Tags: splines, B-splines, wavelets, numerical analysis, geometric modelling

Lyche, Tom; Mørken, Knut Martin & Reif, Ulrich (2023). On the condition of cubic B-splines. Journal of Approximation Theory. ISSN 0021-9045. 289. doi: 10.1016/j.jat.2023.105883. Full text in Research Archive
Sand, Odd Petter; Lockwood, Elise; Caballero, Marcos & Mørken, Knut Martin (2022). Students’ Development of a Logarithm Function in Python Using Taylor Expansions: a Teaching Design Case Study. Digital Experiences in Mathematics Education. ISSN 2199-3246. doi: 10.1007/s40751-022-00104-3. Full text in Research Archive Show summary
We present here the lessons learned by iteratively designing a tutorial for first-year university students using computer programming to work with mathematical models. Alternating between design and implementation, we used video-taped task interviews and classroom observations to ensure that the design promoted student understanding. The final version of the tutorial we present here has students make their own logarithm function from scratch, using Taylor polynomials. To ensure that the resulting function is accurate and reasonably fast, the students had to understand and apply concepts both from computing and from mathematics. We identify three categories of such concepts and identify three design features that students attended to when demonstrating such understanding. Additionally, we describe four important take-aways from a teaching design point of view that resulted from this iterative design process.
Sand, Odd Petter; Lockwood, Elise; Caballero, Marcos & Mørken, Knut Martin (2022). Three cases that demonstrate how students connect the domains of mathematics and computing. Journal of Mathematical Behavior. ISSN 0732-3123. 67. doi: 10.1016/j.jmathb.2022.100955. Full text in Research Archive Show summary
This study uses actor-oriented transfer perspective to investigate different ways in which students make connections across the domains of mathematics and computing. We interview first-year students at the University of Oslo as they work with a set of tutorials that we designed to integrate knowledge from both domains. The cases we present here demonstrate four different types of cross-domain connections: (a) mathematically reproducing the work of a computer program, (b) cyclically improving a program to produce better output, (c) coupling math to output to justify program improvements and (d) coupling math to code to justify program design. We provide rich examples of the ways in which students make these connections and discuss affordances for mathematical learning in this context.
Lockwood, Elise & Mørken, Knut Martin (2021). A Call for Research that Explores Relationships between Computing and Mathematical Thinking and Activity in RUME. International Journal of Research in Undergraduate Mathematics Education. ISSN 2198-9745. 7, p. 404–416. doi: 10.1007/s40753-020-00129-2. Full text in Research Archive
Bruvoll, Solveig; Lyche, Tom Johan & Mørken, Knut Martin (2016). Uniformly stable wavelets on nonuniform triangulations. Mathematics and Computers in Simulation. ISSN 0378-4754. doi: 10.1016/j.matcom.2016.09.006. Full text in Research Archive Show summary
In this paper we construct linear, uniformly stable, wavelet-like functions on arbitrary triangulations. As opposed to standard wavelets, only local orthogonality is required for the wavelet-like functions. Nested triangulations are obtained through refinement by two standard strategies, in which no regularity is required. One strategy inserts a new node at an arbitrary position inside a triangle and then splits the triangle into three smaller triangles. The other strategy splits two neighbouring triangles into four smaller triangles by inserting a new node somewhere on the edge between the triangles. In other words, non-uniform refinement is allowed in both strategies. The refinement results in nested spaces of piecewise linear functions. The detail-, or wavelet-spaces, are made to satisfy certain orthogonality conditions which locally correspond to vanishing linear moments. It turns out that this construction is uniformly stable in the L∞ norm, independently of the geometry of the original triangulation and the refinements.
Malthe-Sørenssen, Anders; Hjorth-Jensen, Morten; Langtangen, Hans Petter & Mørken, Knut Martin (2015). Integrasjon av beregninger i fysikkundervisningen. Uniped - Tidsskrift for universitets- og høgskolepedagogikk. ISSN 1500-4538. 38(4), p. 303–310. Full text in Research Archive
Mørken, Knut Martin; Sølna, Hanne & Villanger, Ilan Dehli (2015). Hvordan skaper vi gode betingelser for læring? Uniped - Tidsskrift for universitets- og høgskolepedagogikk. ISSN 1500-4538. 38(4), p. 264–273. Full text in Research Archive
Melvær, Eivind Lyche; Mørken, Knut Martin & Samset, Eigil (2012). A motion constrained cross-wire phantom for tracked 2D ultrasound calibration. International Journal of Computer Assisted Radiology and Surgery. ISSN 1861-6410. 7(4), p. 611–620. doi: 10.1007/s11548-011-0661-6. Full text in Research Archive

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Floater, Michael S.; Lyche, Tom Johan; Mazure, Marie-Laurence; Mørken, Knut Martin & Schumaker, Larry L. (2017). Mathematical Methods for Curves and Surfaces: 9th International Conference, MMCS 2016 Tønsberg, Norway, June 23-28, 2016 Revised Selected Papers. Springer Publishing Company. ISBN 9783319678856. 333 p. Full text in Research Archive Show summary
The 9th International Conference on Mathematical Methods for Curves and Surfaces took place during June 23–28, 2016, in Tønsberg, Norway. The earlier conferences in the series took place in Oslo (1988), Biri (1991), Ulvik (1994), Lillehammer (1997), Oslo (2000), Tromsø (2004), Tønsberg (2008), and Oslo (2012). This conference series is integrated with the French conferences Curves and Surfaces organized by SMAI-SIGMA (Signal-Image-Géométrie-Modélisation-Approximation), and the last conference in France was in Paris in 2014. The conference gathered 140 participants from 27 countries who presented a total of 115 talks. This includes nine invited talks and seven mini-symposia. This book contains 17 original articles based on talks presented at the conference. The topics range from mathematical theory to industrial applications. The papers have been subject to the usual peer-review process, and we thank both the authors and the reviewers for their hard work and helpful collaboration. We wish to thank all those who supported and helped organize the conference. It is a pleasure to acknowledge the generous ﬁnancial support from the Research Council of Norway and the Department of Mathematics at the University of Oslo. We also thank Elisabeth Seland, Espen Sande, and Espen Lybekk for their help with administrative and technical matters, and Anne Berg Floater for help with the registration.
Floater, Michael S.; Lyche, Tom; Mazure, Marie-Laurence; Mørken, Knut Martin & Schumaker, Larry (2014). Mathematical Methods for Curves and Surfaces. 8th International Conference, MMCS 2012, Oslo, Norway, June 28 – July 3, 2012, Revised Selected Papers. Springer. ISBN 9783642543814. 511 p. Full text in Research Archive

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Helstad, Kristin; Solbrekke, Tone Dyrdal; Gregers, Tone Fredsvik; Mørken, Knut Martin & Sølna, Hanne (2025). Arbeid i lederteam for å utvikle utdanning:erfaringer fra utdanningsledelse i praksis. In Solbrekke, Tone Dyrdal & Helstad, Kristin (Ed.), Utdanningsledelse i høyere utdanning - legitime kompromisser. Universitetsforlaget. ISSN 9788215071329. p. 225–237. Full text in Research Archive
Sand, Odd Petter; Lockwood, Elise; Caballero, Marcos & Mørken, Knut Martin (2022). Four Patterns in Students’ Connections Between Mathematics and Computing. Full text in Research Archive Show summary
Computers and programming have become important in science and mathematics in the last few decades, and this has also affected the ways in which students and teachers interact with mathematics (see for instance Broley et al., 2018). For this reason, there have been calls for more attention to be paid to computing in mathematics education research. For instance, how does integrating computing into mathematics classrooms affect students’ understanding (Lockwood & Mørken, 2021)? One way in which students generalize is by relating knowledge, situations, techniques, or problems; what we often call forming connections (Ellis et al., 2017, Lobato, 2012). When students work with the domains of mathematics and computing, it is therefore likely that they will see similarities between situations across domain boundaries (we call such connections cross-domain connections). Greeno et al. (1993) discussed the affordances of such connections in terms of reasoning, which they defined as activities that transform representations. Importantly, the representations themselves afford particular transformations. Therefore, transforming a mathematical representation to a computational one (or vice versa) allows students to reason in ways that they might not otherwise. Our research questions are “1) which patterns of such connections emerge in the students’ work, and 2) what do these patterns afford the students?” To answer these questions, we interviewed first-year students in twos and threes as they worked with tutorials designed by the authors to support the forming of mathematical-computational connections. We instructed the students to work as they would in class, using the interviewer as a TA when needed. Using thematic analysis, we identified the themes that emerged in the data. In addition to students’ verbal utterances, we classified connections by looking at the medium they used, how they structured the information they worked with, and the notation or syntax they employed for individual pieces of information. While our study is an exploratory case study and as such not comprehensive, we found interesting examples of four distinct patterns in the connections that students formed. Students would (a) use mathematics to retrace the steps of a program, (b) use mathematics to interpret output, which inspired revisions to the code (which then produced new output, forming a cycle), (c) use mathematics and code together to design a program, and (d) use mathematics and output together to make refinements to a working program. The affordances evident in our data were, respectively, (a) understanding a program’s purpose or creating a formal proof, (b) explaining how a program works, as well as improving it, (c) confidence in a program’s correctness and organizing mathematical knowledge, and (d) producing results closer to standards and being able to explain these results. In our final poster, we will provide illustrative examples of each of the four patterns and use these to highlight the affordances (and limitations) of integrating computing in mathematics classrooms.
Mørken, Knut Martin (2020). IKT i alle fag. Full text in Research Archive
Mørken, Knut Martin (2020). Hvorfor programmering og algoritmer? Full text in Research Archive
Mørken, Knut Martin (2019). Programmering for å styrke matematikken, er det mulig? Full text in Research Archive
Fyhn, Marianne; Malthe-Sørenssen, Anders; Mørken, Knut Martin; Nederbragt, Alexander Johan; Odden, Tor Ole & Sundnes, Joakim (2019). Beregningsorientering og utdanningsutvikling. Full text in Research Archive
Mørken, Knut Martin (2019). Programmering for å styrke matematikken, er det mulig? Full text in Research Archive
Hodnebrug, Ina; Lingaas, Else Marie & Mørken, Knut Martin (2019). Samarbeid om utdanning mellom universiteter og høgskoler og næringslivet. Hvorfor? Hva fungerer? Hvor er utfordringene? Full text in Research Archive
Mørken, Knut Martin (2019). Hva er det egentlig studentene trenger for å lykkes? Full text in Research Archive
Mørken, Knut Martin (2019). Computing in Mathematics and Science Education. Full text in Research Archive
Tellefsen, Cathrine Wahlstrøm & Mørken, Knut Martin (2019). Programmering i naturfag. Full text in Research Archive
Tellefsen, Cathrine Wahlstrøm & Mørken, Knut Martin (2018). Programmering i naturfaget. Full text in Research Archive
Tellefsen, Cathrine Wahlstrøm & Mørken, Knut Martin (2018). Programmering er mer enn koding. Full text in Research Archive
Tellefsen, Cathrine Wahlstrøm & Mørken, Knut Martin (2018). ProFag: realfaglig programmering. Full text in Research Archive
Mørken, Knut Martin (2018). Some reflections on how computing can enhance the learning of mathematics. Full text in Research Archive
Mørken, Knut Martin (2018). Computing in Science Education. Full text in Research Archive
Mørken, Knut Martin (2018). Educational Development: Computing in Science Education in a Wider Perspective. Full text in Research Archive
Mørken, Knut Martin (2018). Emneutvikling og systematisk integrering av generiske ferdigheter i utdanningsprogrammene. Full text in Research Archive
Mørken, Knut Martin (2018). Programmering i skolen: muligheter og utfordringer. Full text in Research Archive
Mørken, Knut Martin (2018). Om fagfornyelsen i matematikk. Full text in Research Archive
Mørken, Knut Martin (2018). Programmering i alle fag! Full text in Research Archive
Mørken, Knut Martin (2018). Utdanning og utveksling. Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2018). An Evolving Culture for Learning in Practice. Full text in Research Archive
Mørken, Knut Martin (2017). Utdanningsutvikling på MN-fakultetet. Full text in Research Archive
Mørken, Knut Martin (2017). Computing in Science Education (CSE). Full text in Research Archive
Mørken, Knut Martin (2017). Computing in Science Education. Full text in Research Archive
Mørken, Knut Martin (2017). InterAct at UiO: Good education is more than good lectures! Full text in Research Archive
Mørken, Knut Martin (2017). Computing in Science Education. Full text in Research Archive
Mørken, Knut Martin (2017). Utdanningsutvikling på MN-fakultetet ved UiO. Full text in Research Archive
Mørken, Knut Martin; Runde, Ragnhild Kobro & Skramstad, Tone (2017). Det nasjonale kvalifikasjonsrammeverket og utdanningsutvikling. Full text in Research Archive
Mørken, Knut Martin (2017). Kultur for kvalitet i høyere utdanning: Systematisk arbeid med utdanningskvaliteten med tanke på utvikling og forbedring. Full text in Research Archive
Fyhn, Marianne; Kristensen, Solveig; Mørken, Knut Martin; Sølna, Hanne; Tellefsen, Cathrine Wahlstrøm & Villanger, Ilan Dehli (2017). Helhetlig fokus på utdanningsutvikling. Full text in Research Archive
Mørken, Knut Martin (2017). Utdanningsutvikling på MN-fakultetet ved UiO. Full text in Research Archive
Malthe-sørenssen, Anders; Henriksen, Ellen Karoline; Hjorth-Jensen, Morten; Mørken, Knut Martin; Sølna, Hanne & Tellefsen, Cathrine Wahlstrøm (2017). Center for computing in science education: fornyelse av utdanning ved integrasjon av beregninger. Nordic Journal of STEM Education. 1(1), p. 236–241. Full text in Research Archive
Floater, Michael S.; Lyche, Tom Johan Wiborg; Mazure, Marie-Laurence; Mørken, Knut Martin & Schumaker, Larry L. (2017). Preface. Lecture Notes in Computer Science (LNCS). ISSN 0302-9743. 1052:16191 LNCS, p. 1–1. doi: 10.1016/j.cam.2009.02.019. Full text in Research Archive
Mørken, Knut Martin (2017). Computing in the undergraduate mathematics curriculum? Full text in Research Archive
Mørken, Knut Martin (2017). Bioscience, chemistry, pharmacy or life science? Full text in Research Archive
Mørken, Knut Martin (2017). Reflections on mathematics and science education for the future. Full text in Research Archive
Sølna, Hanne & Mørken, Knut Martin (2016). How to radically change university education? A joint venture between academics and administration. Full text in Research Archive
Mørken, Knut Martin & Rasmussen, Live (2016). Skru av autopiloten! Full text in Research Archive
Mørken, Knut Martin; Hjorth-Jensen, Morten; Langtangen, Hans Petter & Malthe-Sørenssen, Anders (2016). Computing across the curriculum. Full text in Research Archive
Mørken, Knut Martin (2016). How can computing assist in learning calculus? Full text in Research Archive
Mørken, Knut Martin (2016). Some reflections on the impact of computers in science education. Full text in Research Archive
Mørken, Knut Martin; Hjorth-Jensen, Morten; Langtangen, Hans Petter & Malthe-Sørenssen, Anders (2016). How should computers influence the mathematics curriculum? Full text in Research Archive
Kluge, Anders & Mørken, Knut Martin (2016). Nytt skolefag nødvendig. Full text in Research Archive
Mørken, Knut Martin & Tellefsen, Cathrine Wahlstrøm (2016). Course alignment and a culture for quality. Full text in Research Archive
Mørken, Knut Martin; Hjorth-Jensen, Morten; Langtangen, Hans Petter & Malthe-Sørenssen, Anders (2015). Tanker om digital realfagsundervisning. Full text in Research Archive
Mørken, Knut Martin; Sølna, Hanne & Villanger, Ilan Dehli (2015). Hvordan skaper vi gode betingelser for læring? Full text in Research Archive
Mørken, Knut Martin (2015). Utdanning, utdanningsroller og læringsmiljø. Full text in Research Archive
Mørken, Knut Martin; Hjorth-Jensen, Morten; Langtangen, Hans Petter & Malthe-Sørenssen, Anders (2015). Some reflections on the impact of computers in science education. Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2015). Strategisk blikk på utdanning. Full text in Research Archive
Mørken, Knut Martin (2015). MNs utdanningssatsing. Full text in Research Archive
Bruvoll, Solveig; Lyche, Tom Johan & Mørken, Knut Martin (2015). Uniformly stable wavelets on nonuniform triangulations. Full text in Research Archive
Floater, Michael S.; Lyche, Tom; Mazure, Marie-Laurence; Mørken, Knut Martin & Schumaker, Larry L. (2014). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics): Preface. Lecture Notes in Computer Science (LNCS). ISSN 0302-9743. 8177 LNCS. Full text in Research Archive
Mørken, Knut Martin (2014). Fra Computing in Science Education (CSE) til generell utdanningsutvikling. Full text in Research Archive
Mørken, Knut Martin (2014). Fra Computing in Science Education (CSE) til generell utdanningsutvikling. Full text in Research Archive
Mørken, Knut Martin (2014). Computational Science & Engineering infusion in general undergraduate education. Full text in Research Archive
Mørken, Knut Martin (2014). Reforming mathematics and science education. Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2014). Computing in Science Education. Full text in Research Archive
Mørken, Knut Martin (2014). Hva er digital kompetanse i matematikk? Full text in Research Archive
Mørken, Knut Martin (2014). InterAct — Kultur for læring. Full text in Research Archive
Mørken, Knut Martin (2014). Fagfornyelse i matematikk. Full text in Research Archive
Mørken, Knut Martin (2013). Reforming Mathematics and Science Education. Full text in Research Archive
Mørken, Knut Martin (2012). Estetikk, kreativitet og modeller i matematikk. Full text in Research Archive
Bruvoll, Solveig; Lyche, Tom & Mørken, Knut Martin (2012). Uniformly stable linear wavelets on nonuniform triangulations. Full text in Research Archive
Mørken, Knut Martin; Sveinsson, Henrik Andersen & Dahl, Lars Oswald (2012). Computing in Science Education (CSE): Numeriske metoder i tverrfaglig og FoU-basert undervisning – gevinster for utdanningen, kandidatene og arbeidslivet. Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2012). Hvorfor beregningsorientert matematikk, og hvordan? Full text in Research Archive
Mørken, Knut Martin (2012). Realfagsutdanning og læring når rammene endrer seg. Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2012). KUPP: Kulturkompetanse og personlig utvikling. Trenger vi et nytt perspektiv i utdanningene? Full text in Research Archive
Mørken, Knut Martin (2012). FoU-basert utdanning i realfag: Computing in Science Education (CSE). Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2012). Framtidas teknologiutdanning. Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2012). IT i moderne forskningsbasert undervisning: CSE — hva er nøkkelen? Full text in Research Archive
Mørken, Knut Martin (2012). Integrating computational methods throughout the bachelor education. Full text in Research Archive
Mørken, Knut Martin (2012). Mathematics and science education in a world with computers: Computing in Science Education (CSE). Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2012). Mathematics and science education in a world with computers: Computing in Science Education (CSE). Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2011). Hvorfor beregningsorientert matematikk og hvordan få det til? Full text in Research Archive
Mørken, Knut Martin (2011). Beregningsorientert ingeniørutdanning? Full text in Research Archive
Mørken, Knut Martin (2011). Beregningsperspektiv i ingeniørutdanningen? Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2011). Hvorfor beregningsorientert matematikk og hvordan? Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2011). Hvordan kan IKT bidra til mer relevant opplæring? Full text in Research Archive
Mørken, Knut Martin (2011). Hvorfor beregningsorientert matematikk og hvordan? Full text in Research Archive
Mørken, Knut Martin & Sølna, Hanne (2011). Hvorfor beregningsorientert matematikk og hvordan? Full text in Research Archive
Mørken, Knut Martin (2011). Status for CSE-prosjektet. Full text in Research Archive
Mørken, Knut Martin; Bruvoll, Solveig & Lyche, Tom (2011). Uniformly stable ’wavelets’ on general triangulations. Full text in Research Archive
Mørken, Knut Martin (2011). Realfagsundervisning med beregninger. Full text in Research Archive
Mørken, Knut Martin & Sand, Ingrid (2019). Spørreundersøkelse MN nye laveregradsstudenter høsten 2019. Universitetet i Oslo. Full text in Research Archive
Bersvendsen, Jørn; Samset, Eigil; Mørken, Knut Martin & Reimers, Martin (2016). Segmentation of cardiac structures in 3-dimensional echocardiography. Universitetet i Oslo. Full text in Research Archive Show summary
Cardiac ultrasound is a key component in modern cardiology, and is widely used to assess and quantify the heart’s anatomy and function. In the past two decades, real-time 3-dimensional ultrasound has emerged as a promising modality, allowing a more accurate appreciation of the heart’s complex geometry, compared to the more conventional 2-dimensional ultrasound. However, the huge increases in information within volumetric images demand accurate and efficient methods for automatically analyzing and quantifying the heart. One of the fundamental problems in the processing of cardiac images is segmentation; the process of extracting a geometric model from the image, describing the shape and motion of an anatomical structure. A framework has previously been proposed for solving this problem in 3D ultrasound images, in which the segmentation is expressed as a state-estimation problem and solved with a Kalman filter. This framework is generic, and allows for incorporating different surface representations, image measurements and prior information on shape and motion, and it has been applied to the left ventricle. The main goal of this thesis has been to apply the existing Kalman filter segmentation framework to different anatomical structures, in particular the aortic root and right ventricle, and to develop a method for biventricular segmentation. Four main contributions have been made. Firstly, a method providing fully automatic quantification of the aortic valve size from 3D ultrasound images has been developed and its feasibility demonstrated. This is a key measurement to be made prior to procedures on diseased valves, and performing manual measurements is time-consuming and subject to inter-observer variation. Secondly, two methods have been developed for automated segmentation of the Right Ventricle (RV). Historically, the importance of the RV has been underestimated. Although the RV’s role in cardiovascular diseases has been more widely recognized in recent years, few methods for segmentation of the RV have been proposed. Because the RV has a more complex and asymmetrical shape compared to the left ventricle, the existing segmentation framework is not immediately applicable to the RV. Therefore, the method was extended with a geometric model learned from statistical analysis on a set of manual segmentations, as well as prior information on the appearance of the ultrasound images. Thirdly, one of the two RV methods uses a novel geometric surface representation to simultaneously segment the endocardial and epicardial borders of both ventricles. The surface is parameterized such that myocardial volume conservation is used within the Kalman filter segmentation process, which leads to a much more complete model of the heart and allows one to study the interaction between the ventricles. Finally, a robust and fully automatic method for spatio-temporal fusion of two ultrasound images has been developed. This is important as it is unrealistic to capture both ventricles in the same imaging sector. Furthermore, the method is able to perform the spatial registration with no assumption on the relationship between the recordings.
Sanne, Anders; Berge, Ola; Bungum, Berit; Jørgensen, Eva Celine; Kluge, Anders & Kristensen, Tor Espen [Show all 9 contributors for this article] (2016). Teknologi og programmering for alle : En faggjennomgang med forslag til endringer i grunnopplæringen - august 2016. Utdanningsdirektoratet. Full text in Research Archive
Mørken, Knut Martin; Malthe-Sørensen, Anders; Simonsen, Ingve; Hammer, Hugo Lewi; Vatne, Jon Eivind & Nøst, Elisabeth [Show all 9 contributors for this article] (2011). Computing in Science Education. A guide for universities and colleges in Norway. Universitetet i Oslo. Full text in Research Archive
Mørken, Knut Martin; Bruvoll, Solveig & Lyche, Tom (2011). Uniformly stable wavelets on nonuniform triangulations. CMA. Full text in Research Archive

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Published Jan. 28, 2013 1:38 PM - Last modified Oct. 16, 2024 9:28 AM

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International Partnership for Computing in Science Education

Knut Martin Mørken

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