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- Björklund, Camilla, 1977, et al.
(author)
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Framework for analysing children’s ways of experiencing numbers
- 2019
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In: In U. T. Jankvist, M. Van den Heuvel-Panhuizen, & M. Veldhuis, (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019). Utrecht, the Netherlands: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME..
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Conference paper (peer-reviewed)
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- Björklund, Camilla, 1977, et al.
(author)
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Implementing a structural approach in preschool number activities. Principles of an intervention program reflected in learning
- 2021
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In: Mathematical Thinking and Learning. - : Informa UK Limited. - 1098-6065 .- 1532-7833. ; 23:1, s. 72-94
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Journal article (peer-reviewed)abstract
- We report here on an intervention implementing a structural approach to arithmetic problem-solving in relation to learning outcomes among preschoolers. Using the fundamental principles of the variation theory of learning for developing the intervention and as an analytical framework, we discuss teaching and learning in commensurable terms. The research question is how teaching grounded on a structural approach and designed based on principles of variation theory is reflected in children’s learning of numbers. To answer this, three analyses were conducted, addressing: i) how the children’s ways of experiencing numbers changed after participating in the intervention, ii) how the theoretical ideas were afforded in the intervention program, and iii) synthesizing how the affordance was associated with the children’s arithmetic learning. One group of eight children participating in the intervention program was chosen for thorough analysis. Progression was observed in how the children changed their ways of experiencing numbers during the intervention that allowed them to enact more advanced arithmetic strategies, which was associated with the structural approach in teaching. The results also show how analysis focusing on aspects discerned in learning and aspects afforded in teaching provides a way of describing arithmetic learning with significant implications for teaching practices.
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- Björklund, Camilla, 1977, et al.
(author)
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Learning and teaching of arithmetic skills in early years - Research Forum
- 2018
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In: In E. Bergqvist, M. Österholm, C. Granberg, & L. Sumpter (Eds.), Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education (Vol. 1)(pp. 125-155). Umeå, Sweden: PME..
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Conference paper (peer-reviewed)
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- Björklund, Camilla, 1977, et al.
(author)
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Preschool class students’ discernment of number structure in a spatial pattern.
- 2024
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In: In Häggström, J., Kilhamn, C., Mattsson, L., Palmér, H., Perez, M., Pettersson. K., Röj-Lindberg, A.-S. & Teledahl, A. (Eds.), Mediating mathematics. Proceedings of MADIF14 (pp. 85–96).. - : SMDF.
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Conference paper (peer-reviewed)
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- Björklund, Camilla, 1977, et al.
(author)
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Strategies informed by various ways of experiencing number relations in subtraction tasks
- 2022
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In: Journal of Mathematical Behavior. - : Elsevier BV. - 0732-3123 .- 1873-8028. ; 67
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Journal article (peer-reviewed)abstract
- The aim of this paper is to develop greater understanding of how the way students experience a task is related to which, and how, number relations are discerned. We study how 42 Grade 1 students solved a word problem in a number range that was new to them: 32–25 = __. The variation theory of learning has informed our analysis, opening for thorough analyses of what constitutes differences in the students’ acts in solving the arithmetic word problem and how they experience the task. Observations of their strategies and ways of reasoning revealed that how the students discern the semantic structure and number relations relates to their ways of encountering the task and consequently their success in solving it. The study offers a complementary approach to understanding arithmetic skills that contribute knowledge as to why some students develop powerful ways of solving arithmetic tasks while others get stuck in cumbersome strategies.
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