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Encountering Propor...
Encountering Proportional Reasoning During a Single Algebra Lesson: A Microgenetic Analysis
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- Lundberg, Anna L.V. 1967 (författare)
- Gothenburg University,Göteborgs universitet,Linnécentret for forskning om lärande (LinCS),Institutionen för didaktik och pedagogisk profession,The Linnaeus Centre for Research on Learning, Interaction, and Mediated Communication in Contemporary Society (LinCS),Department of Pedagogical, Curricular and Professional Studies,Department of Pedagogical, Curricular and Professional Studies, Gothenburg University, Gothenburg, Sweden
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(creator_code:org_t)
- Eastbourne, United Kingdom : Modestum Publishing Ltd, 2022
- 2022
- Engelska.
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Ingår i: International Electronic Journal of Mathematics Education. - Eastbourne, United Kingdom : Modestum Publishing Ltd. - 1306-3030. ; 17:1
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- This case study explores how 12-13-year-old students encounter proportional reasoning while working with geometric patterning tasks using concrete materials. The focus is on the students’ use of spontaneous concepts when first dealing with such patterns in the context of collaborative work. Based on video recordings of a single lesson, a microgenetic analysis was performed to identify students’ learning trajectories, starting with students familiarizing themselves with pattern structure, followed by engagement in proportional reasoning, and ending with students perceiving a new technique to handle a situation where proportional reasoning did not suffice. While some student groups were able to move along the whole trajectory, most groups, when facing challenges, regressed to simpler techniques. The results provide new insights into students’ learning trajectories, which can be used to support students’ progress in the context of student-teacher interaction.
Ämnesord
- SAMHÄLLSVETENSKAP -- Utbildningsvetenskap (hsv//swe)
- SOCIAL SCIENCES -- Educational Sciences (hsv//eng)
- SAMHÄLLSVETENSKAP -- Utbildningsvetenskap -- Lärande (hsv//swe)
- SOCIAL SCIENCES -- Educational Sciences -- Learning (hsv//eng)
- SAMHÄLLSVETENSKAP -- Utbildningsvetenskap -- Didaktik (hsv//swe)
- SOCIAL SCIENCES -- Educational Sciences -- Didactics (hsv//eng)
- SAMHÄLLSVETENSKAP -- Utbildningsvetenskap -- Pedagogik (hsv//swe)
- SOCIAL SCIENCES -- Educational Sciences -- Pedagogy (hsv//eng)
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
Nyckelord
- algebra
- geometric pattern
- learning trajectory
- microgenesis
- proportionality
- proportional reasoning
- algebra
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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