Stein Arnold Berggren

• Berggren, Stein Arnold (2023). De yngste elevene skaper matematiske tekster. . I Næsje, Ragnhild Louise; Berggren, Stein Arnold; Motzfeldt, Gitte Cecilie; Häggström, margaretha & Karlsen, Kristine Høeg (Red.), Storyline i begynneropplæringen: En estetisk og lekende tilnærming til læring. Universitetsforlaget. ISSN 9788215060965. s. 200–222.
• Berggren, Stein Arnold & Jom, Pål Espen Olvik (2022). Algebra i overgangen fra barnetrinnet til ungdomstrinnet. I Maugesten, Marianne & Spernes, Kari Iren (Red.), Overganger i skolen. Fra barnetrinnet til ungdomstrinnet.. Universitetsforlaget. ISSN 978-82-15-06093-4. s. 112–124.
• Kaufmann, Odd Tore; Stenseth, Børre; Berggren, Stein Arnold & Forsström, Sanna Erika (2022). ”Where is my angle?” – students cooperating to make a square. I Nortvedt, Guri A.; Buchholtz, Nils; Fauskanger, Janne; Hähkiöniemi, Markus; Jessen, Britta Eyrich; Nilsen, Hans Kristian; Naalsund, Margrethe; Pálsdóttir, Guðbjörg; Portaankorva-Koivisto, Päivi; Radišić, Jelena; Sigurjónsson, Jóhann Örn; Viirman, Olov Lui & Wernberg, Anna (Red.), Bringing Nordic mathematics education into the future. Proceedings of Norma 20, The ninth Nordic Conference on Mathematics Education . Svensk förening för MatematikDidaktisk Forskning - SMDF. ISSN 978-91-984024-6-9. s. 121–128.
• Karlsen, Kristine Høeg; Berggren, Stein Arnold; Ludvigsen, Ar & Næsje, Ragnhild Louise (2020). The Fairy-Tale Forest: Developing Pedagogical Content Knowledge for teaching Primary School Mathematics in The Scottish Storyline Approach. I Karlsen, Kristine Høeg & Häggström, Margaretha (Red.), Teaching through Stories: Renewing the Scottish Storyline Approach in Teacher Education . Waxmann Verlag. ISSN 978-3-8309-3986-3. s. 183–207. doi: https:/doi.org/10.31244/9783830989868. Fulltekst i vitenarkiv Vis sammendrag

  This study focuses on the development of mathematical pedagogical content knowl-edge when implementing Storyline as a narrative approach to organising cross-curricu-lar learning for student teachers to become teachers in mathematics for grades 1–7. InStoryline, teachers according to Omand (2014) carefully plan “a ‘line’ of episodes, each of which has carefully designed key questions that encourage and support the learner to contextualise and create the ‘story’, promoting exciting learning” (p. 3). The study uses six semi-structured focus group interviews with a total of 24 first year student teachers. A qualitative analysis, based on the framework of Creswell and Creswell (2018), structures the process of coding. The results contribute to pedagogical content knowledge (cf. Ball, Thames & Phelps, 2008) for teaching primary school mathematics in the following three domains: i) Playing out the Fairy-tale story; ii) Preparing, exploring and performing the tasks; and iii) Learning through a Meta-Storyline. The results show that the students encountered a completely new way of learning mathematics when using Storyline. In summary, although the student teachers report awkwardness when joining the fictional in-role activities, they see the potential for facilitating playful and explorative learning experiences for pupils in primary school.

• Berggren, Stein A.; Lukkassen, Dag; Meidell, Annette & Simula, Leon (2003). Some methods for calculating stiffness properties of periodic structures. Applications of Mathematics. ISSN 0862-7940. 48(2), s. 97–110. Vis sammendrag

  We present a general numerical method for calculating effective elastic properties of periodic structures based on the homogenization method. Some concrete numerical examples are presented.

• Berggren, Stein A.; Lukkassen, Dag; Meidell, Annette & Simula, Leon (2001). On stiffness properties of square honeycombs and other unidirectional composites. Composites Part B: Engineering. ISSN 1359-8368. 32, s. 503–511. Vis sammendrag

  In this paper we consider stiffness properties of square symmetric unidirectional two-phase composites with given volume fractions. First, we compare the effective moduli of the stiffest possible (or softest possible) of such materials which satisfy transverse isotropy or square isotropy with that of materials satisfying 3D-isotropy. Next, we present some numerical FEM computations of in-plane stiffness properties of square honeycombs. Our results are compared with the effective moduli of the stiffest possible square symmetric composites. The numerical results are used to optimize the directions of square prisms in the core of sandwich plates with respect to stiffness. Our calculations can therefore be usefull in connection with optimization of structural topology.

• Berggren, Stein A.; Lukkassen, Dag; Meidell, Annette & Simula, Leon (2001). A new method for numerical solution of checkerboard fields. Journal of Applied Mathematics. ISSN 1110-757X. 1, s. 157–173. Vis sammendrag

  We consider a generalized version of the standard checkerboard and discuss the dificulties of finding the corresponding field by standard numerical treatment. A new numerical method is presented which converges independently of the local conductivities.

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• Motzfeldt, Gitte Cecilie; Næsje, Ragnhild Louise; Häggström, Margaretha; Berggren, Stein Arnold & Karlsen, Kristine Høeg (2023). Storyline i ungdomsskolen og i videregående opplæring: En pluralistisk og kritisk tilnærming til bærekraft. Universitetsforlaget. ISBN 9788215060941. 289 s.
• Næsje, Ragnhild Louise; Berggren, Stein Arnold; Motzfeldt, Gitte Cecilie; Häggström, margaretha & Karlsen, Kristine Høeg (2023). Storyline i begynneropplæringen: En estetisk og lekende tilnærming til læring. Universitetsforlaget. ISBN 9788215060965. 226 s.
• Berggren, Stein Arnold & Jom, Pål Espen Olvik (2021). Førsteklasses matematikk - matematikk for de yngste elevene. Gyldendal Akademisk. ISBN 9788205541603. 256 s.

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• Berggren, Stein Arnold & Jom, Pål Espen Olvik (2024). Hva bør vi forvente av studentene? Khrono.no. ISSN 1894-8995.
• Berggren, Stein Arnold; Næsje, Ragnhild Louise & Lockhart-Pedersen, Virginia (Gini) (2023). Bokstavøya. I Næsje, Ragnhild Louise; Berggren, Stein Arnold; Motzfeldt, Gitte Cecilie; Häggström, margaretha & Karlsen, Kristine Høeg (Red.), Storyline i begynneropplæringen: En estetisk og lekende tilnærming til læring. Universitetsforlaget. ISSN 9788215060965. s. 159–174.
• Næsje, Ragnhild Louise & Berggren, Stein Arnold (2023). Storyline med de yngste elevene. . I Næsje, Ragnhild Louise; Berggren, Stein Arnold; Motzfeldt, Gitte Cecilie; Häggström, margaretha & Karlsen, Kristine Høeg (Red.), Storyline i begynneropplæringen: En estetisk og lekende tilnærming til læring. Universitetsforlaget. ISSN 9788215060965. s. 13–19.
• Motzfeldt, Gitte Cecilie; Næsje, Ragnhild Louise; Karlsen, Kristine Høeg; Häggström, Margaretha & Berggren, Stein Arnold (2023). Forskning på undervisning og pedagogisk praksis. Storyline som tverrfaglig undervisning i lærerutdanningen.
• Jom, Pål Espen Olvik & Berggren, Stein Arnold (2023). Er det plass til en masteroppgave i lærerutdanningen? Khrono.no. ISSN 1894-8995.
• Berggren, Stein Arnold & Jom, Pål Espen Olvik (2023). Nasjonal deleksamen: Et nødvendig onde. Khrono.no. ISSN 1894-8995.
• Næsje, Ragnhild Louise; Berggren, Stein Arnold & Karlsen, Kristine Høeg (2022). Matematikk og norsk gjennom eventyr. Utdanningsnytt.no.
• Berggren, Stein Arnold & Næsje, Ragnhild Louise (2022). Hospitering - en krasjlanding i praksisfeltet. Utdanningsnytt.no.
• Jom, Pål Espen Olvik & Berggren, Stein Arnold (2022). "Læringsbaner i matematikk" - Et planleggingsverktøy til undervisningen.
• Næsje, Ragnhild Louise; Berggren, Stein Arnold & Karlsen, Kristine Høeg (2022). Matematikk og norsk gjennom eventyr. Bedre Skole. ISSN 0802-183X. s. 68–74.
• Berggren, Stein Arnold & Næsje, Ragnhild Louise (2022). Hospitering - en krasjlanding i praksisfeltet. Bedre Skole. ISSN 0802-183X. s. 75–78.
• Berggren, Stein Arnold & Jom, Pål Espen Olvik (2022). Algebra i overgangen fra barnetrinnet til ungdomstrinnet.
• Næsje, Ragnhild Louise; Halstvedt, Camilla Blikstad; Berggren, Stein Arnold; Lockhart-Pedersen, Virginia Jean & Karlsen, Kristine Høeg (2022). Storyline in Early Primary Education focusing on the interdisciplinary topic health and lifeskills- through the Storyline The Alphabet Island.
• Kaufmann, Odd Tore; Stenseth, Børre; Berggren, Stein Arnold & Forsström, Sanna Erika (2021). Whats my angle? Students cooperating to make a square. .
• Berggren, Stein Arnold & Næsje, Ragnhild Louise (2020). Kom, hør en regnefortelling! Tangenten - Tidsskrift for matematikkundervisning. ISSN 0802-8192. s. 26–30.
• Ludvigsen, Ar; Berggren, Stein Arnold; Næsje, Ragnhild Louise & Karlsen, Kristine Høeg (2020). Narratives as a gateway to interdisciplinarity in Teacher Education.
• Berggren, Stein Arnold & Næsje, Ragnhild Louise (2020). Studentene våre vil være på campus - ikke i skyen! Forskning.no. ISSN 1891-635X.
• Karlsen, Kristine Høeg; Pilskog, Hanne Eik; Næsje, Ragnhild Louise; Lockhart-Pedersen, Virginia Jean; Motzfeldt, Gitte Cecilie & Bjørnstad, Gunhild Brænne [Vis alle 10 forfattere av denne artikkelen] (2019). Storyline - som et eksempel på tverrfaglig og studentaktiv læringsform.
• Berggren, Stein Arnold & Jom, Pål Espen Olvik (2019). Lærerne er positive til programmering - men mangler kunnskap . https://www.hiof.no.
• Berggren, Stein Arnold & Jom, Pål Espen Olvik (2019). Lærerne er positive til programmering - men mangler kunnskap. Utdanningsnytt.no.
• Berggren, Stein Arnold & Jom, Pål Espen Olvik (2019). Lærere vil programmere - men trenger opplæring. Bedre Skole. ISSN 0802-183X. s. 40–43.
• Berggren, Stein Arnold & Næsje, Ragnhild Louise (2019). Fantasy meets Math. Presentasjon av gjennomføring av Storyline på 18MaGlu 1-7.
• Berggren, Stein Arnold; Næsje, Ragnhild Louise; Ludvigsen, Ar & Karlsen, Kristine Høeg (2019). Fantasy meets math.
• Karlsen, Kristine Høeg; Berggren, Stein Arnold; Ludvigsen, Ali Reza; Næsje, Ragnhild Louise & Høeg, Ellen (2018). Teaching early learning in mathematics—qualitative study on student teachers’ experiences with the Storyline approach.
• Berggren, Stein Arnold & Ludvigsen, Ar (2017). Undersøkelse om begynneropplæring.
• Berggren, Stein Arnold (2017). Matematikk er ikke vanskelig, det krever bare innsats fra elevene. Utdanningsnytt.no.
• Berggren, Stein Arnold (2017). Matematikk er ikke vanskelig, det krever bare innsats fra elevene. Forskning.no. ISSN 1891-635X.
• Berggren, Stein Arnold (2017). Matematikk er ikke vanskelig, det krever bare innsats fra elevene. https://www.hiof.no.
• Berggren, Stein A.; Byström, Johan; Meidell, Annette & Wall, Peter (2001). Homogenization and computational techniques of iterated structures.
• Berggren, Stein A. (2001). Some theoretical, numerical and technical aspects of the homegenization theory. Luleå tekniske universitet. ISSN 1402-1757. Vis sammendrag

  This thesis is devoted to some theoretical, numerical and technical aspects of the homogenization theory. The thesis consists of five papers. In the first paper we give an elementary presentation of some basic ideas in the homogenization theory, which c an serve as an introduction and frame of my contributions to the papers in this thesis. The second paper presents some theory and numerical results concerning the effective elastic moduli of heterogenous structures. In the third paper we consider in-pla ne stiffness properties of square symmetric unidirectional two-phase composites with given volume fractions. The fourth paper is concerned with the heat conduction in checkerboard structures. In the last paper we consider computational aspects of multis cale iterated honeycombs.

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