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Programmering som mål och medel i matematikundervisningen: Med fokus på elever
Örebro universitet, Institutionen för naturvetenskap och teknik.ORCID-id: 0000-0002-4017-3614
2026 (Svenska)Doktorsavhandling, sammanläggning (Övrigt vetenskapligt)
Abstract [en]

This dissertation aims to contribute to theoretical development and deepen the understanding of the role of programming in mathematic seducation. It explores the opportunities that visual programming offers young students to engage in mathematizing. The study approaches this from two complementary perspectives: programming as a goal of mathematics education and programming as a means for supporting mathematical development. Through iterative classroom interventions, the mathematizing of first-grade students’ programming was closely observed, providing detailed insights and enabling fine-grained analysis.

The theoretical contribution presents mathematizing as a framing concept for understanding students’ programming within mathematics education. Viewing programming through this lens clarifies its relevance to mathematics education. This is significant for researchers and teachers, helping them understand how to integrate programming into their teaching. By applying horizontal and vertical mathematization, the distinction between programming as a goal and as a means is elaborated.

The findings show how students demonstrate skills in problem formulation, complex problem-solving, and connecting multiple mathematical concepts into meaningful structures. However, the results also highlight challenges and limitations: using a programming environmental one does not guarantee engagement in problem-solving, and the choice of programming environment shapes the opportunities students have to explore mathematical concepts. These findings stem from positioning students at the center, and they carry significant implications for teaching practice.

Ort, förlag, år, upplaga, sidor
Örebro: Örebro University , 2026. , s. 117
Serie
Örebro Studies in Mathematics ; 5
Serie
Örebro Studies in Educational Sciences with an Emphasis on Didactics ; 24
Nyckelord [en]
Programming, mathematizing, student orientation, young students, computational thinking, mathematical activities
Nationell ämneskategori
Annan matematik Didaktik
Identifikatorer
URN: urn:nbn:se:oru:diva-125549ISBN: 9789175297361 (tryckt)ISBN: 9789175297378 (digital)OAI: oai:DiVA.org:oru-125549DiVA, id: diva2:2020705
Disputation
2026-02-13, Örebro universitet, Långhuset, Hörsal L2, Fakultetsgatan 1, Örebro, 13:15 (Svenska)
Opponent
Handledare
Tillgänglig från: 2025-12-11 Skapad: 2025-12-11 Senast uppdaterad: 2026-01-23Bibliografiskt granskad
Delarbeten
1. Abstraction and decomposition in tinkering tasks in visual programming environments
Öppna denna publikation i ny flik eller fönster >>Abstraction and decomposition in tinkering tasks in visual programming environments
2022 (Engelska)Ingår i: Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education / [ed] J. Hodgen; E. Geraniou; G. Bolondi; F. Ferretti., 2022, s. 1-8Konferensbidrag, Publicerat paper (Refereegranskat)
Abstract [en]

This study examines how a tinkering task in visual programming environments can provide opportunities for developing problem solving skills. We pursue this by analyzing eleven students in year 8 working with a tinkering task in a visual programming environment during a mathematics class. They were asked to create repeating patterns. Their work and discussions were analyzed through a lens of abstraction and decomposition, two elements of computational thinking. The analysis reveals how some students became thoroughly engaged in problem solving while others had a shallower experience of randomly manipulating the pre-made code. Since it was not the difficulty of the task but rather the random outcome of their manipulation of the code that determined whether they became engaged or not suggests that there is a need for support structures to fully tap into the potential of tinkering tasks to elicit problem solving.

Nyckelord
Problem solving, tinkering, computational thinking
Nationell ämneskategori
Didaktik
Identifikatorer
urn:nbn:se:oru:diva-103183 (URN)9791221025378 (ISBN)
Konferens
12th Congress of the European Society for Research in Mathematics Education (CERME 12), Bozen-Bolzano, Italy (Online conference), February 2–5, 2022
Tillgänglig från: 2023-01-16 Skapad: 2023-01-16 Senast uppdaterad: 2026-01-21Bibliografiskt granskad
2. Young students’ enactment patterns in visual programming – 'plan-driven' or 'in-the-moment'
Öppna denna publikation i ny flik eller fönster >>Young students’ enactment patterns in visual programming – 'plan-driven' or 'in-the-moment'
2025 (Engelska)Ingår i: International Journal of Child-Computer Interaction, ISSN 2212-8689, E-ISSN 2212-8697, Vol. 46, artikel-id 100789Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

Visual programming has become a popular way to provide young students with the opportunity to engage in complex problem-solving, often referred to as computational thinking. Most frameworks for computational thinking are comprehensive yet lack a fine-grained perspective on young students' engagement in programming. Therefore, this paper aims to unpack young students’ enacted problem-solving as they engage in open-ended programming in a visual programming environment (VPE). Through the lens of abstracting and decomposing, we contribute with a close-up understanding of how young students tackle complex problems in a VPE. Data generated in a Swedish first-grade classroom consisted of screen recordings and plans from 13 student pairs, working during four lessons to produce animated stories in ScratchJr. Through the analysis, six enactment patterns were constructed, showing that students as young as seven to eight years old can solve problems involving multiple components, arranging them into cohesive solutions. There were major differences in the problem-solving process involving whether or not the students followed their plans, captured in plan-driven and in-the-moment enactment patterns. Plan-driven enactment patterns elicited shifts within abstracting and decomposing practices, which we consider essential for programming since such enactment patterns more often elicit complex problem-solving. The results suggest that young students should be encouraged to use plans extensively when working in a VPE.

Ort, förlag, år, upplaga, sidor
Elsevier, 2025
Nationell ämneskategori
Didaktik
Identifikatorer
urn:nbn:se:oru:diva-126271 (URN)10.1016/j.ijcci.2025.100789 (DOI)2-s2.0-105022002441 (Scopus ID)
Tillgänglig från: 2026-01-14 Skapad: 2026-01-14 Senast uppdaterad: 2026-01-21Bibliografiskt granskad
3. The intersection of programming and mathematics in an educational context relevant to young students
Öppna denna publikation i ny flik eller fönster >>The intersection of programming and mathematics in an educational context relevant to young students
2023 (Engelska)Ingår i: Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) / [ed] Paul Drijvers; Csaba Csapodi; Hanna Palmér; Katalin Gosztonyi; Eszter Kónya, Alfréd Rényi Institute of Mathematics / ERME , 2023, s. 2184-2191Konferensbidrag, Publicerat paper (Refereegranskat)
Abstract [en]

There is a lack of knowledge in research about the intersection between programming and mathematics in an educational context relevant to young students. This paper aims to contribute to the research field with a theoretical framework that captures this intersection. The intersection is explored by interpreting open programming tasks in a visual programming environment through the lens of Bishop’s six mathematical activities, resulting in a framework that shows how mathematical activities intersect with either a context-independent programming process or context-dependent programming processes.

Ort, förlag, år, upplaga, sidor
Alfréd Rényi Institute of Mathematics / ERME, 2023
Nyckelord
Programming, mathematical activity, young students
Nationell ämneskategori
Didaktik
Identifikatorer
urn:nbn:se:oru:diva-110993 (URN)
Konferens
13th Congress of the European Society for Research in Mathematics Education (CERME 13), Budapest, Hungary , July 10-14, 2023
Tillgänglig från: 2024-01-24 Skapad: 2024-01-24 Senast uppdaterad: 2026-01-21Bibliografiskt granskad
4. Young students’ mathematizing through visual programming
Öppna denna publikation i ny flik eller fönster >>Young students’ mathematizing through visual programming
(Engelska)Manuskript (preprint) (Övrigt vetenskapligt)
Nationell ämneskategori
Annan matematik
Identifikatorer
urn:nbn:se:oru:diva-126482 (URN)
Tillgänglig från: 2026-01-21 Skapad: 2026-01-21 Senast uppdaterad: 2026-01-21Bibliografiskt granskad

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