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Olteanu, Lucian
Publications (10 of 65) Show all publications
Olteanu, C. & Olteanu, L. (2023). Pre-Service Teachers’ Reasoning and Sense-Making of Growing Patterns. In: Proceedings of The 6th World Conference on Research in Education, 2023: . Paper presented at The 6th World Conference on Research in Education, June 9-11, Nice, France.. Diamond Scientific Publishing
Open this publication in new window or tab >>Pre-Service Teachers’ Reasoning and Sense-Making of Growing Patterns
2023 (English)In: Proceedings of The 6th World Conference on Research in Education, 2023, Diamond Scientific Publishing , 2023Conference paper, Oral presentation with published abstract (Refereed)
Abstract [en]

In this study, we aimed to present the features of pre-service teachers’ reasoning and sense making in the process of exploring growing patterns tasks. Participants were 79 pre-service primary teachers in Sweden. The analysis was grounded in the concept of critical aspects from variation theory and the concepts of assemblage, lines of flight, segmentarity, and rupture from a post-structuralist philosophical perspective. Results indicate that the concepts of assemblage, line of flight, rupture, and segmentarity can be useful tools for analyzing analysing reasoning and sense making in mathematics. The results also show that in mathematics, the line of flight can be seen in moments of creativity and innovation. Furthermore, the results show that rupture can be seen in the connection of concepts or ideas that challenge established mathematical structures and ways of thinking. Further, the results shows that segmentarity creates disciplinary boundaries and inhibits reasoning and sense making. Therefore, it is important to recognize and break down these boundaries to facilitate more creative and innovative reasoning and sense making in mathematics.

Place, publisher, year, edition, pages
Diamond Scientific Publishing, 2023
Keywords
reasoning, sense making, growing pattern, assemblage, variation theory, difference, repetition
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-123672 (URN)9786094854224 (ISBN)
Conference
The 6th World Conference on Research in Education, June 9-11, Nice, France.
Available from: 2023-08-13 Created: 2023-08-13 Last updated: 2023-10-27Bibliographically approved
Olteanu, C. & Olteanu, L. (2022). Sense making and reasoning in algebra. In: Ceneida Fernández, Salvador Llinares, Ángel Gutiérrez, Núria Planas (Ed.), Proceedings of the 45th Conference of the International Groupfor the Psychology of Mathematics Education: Alicante, Spain, July 18 – 23, 2022. Paper presented at 45th Conference of the International Group for the Psychology of Mathematics Education. (pp. 270). Alicante: Universidad de Alicante, 4
Open this publication in new window or tab >>Sense making and reasoning in algebra
2022 (English)In: Proceedings of the 45th Conference of the International Groupfor the Psychology of Mathematics Education: Alicante, Spain, July 18 – 23, 2022 / [ed] Ceneida Fernández, Salvador Llinares, Ángel Gutiérrez, Núria Planas, Alicante: Universidad de Alicante, 2022, Vol. 4, p. 270-Conference paper, Oral presentation with published abstract (Refereed)
Abstract [en]

Researchers note that algebraic reasoning and sense making is essential for buildingconceptual knowledge in school mathematics. Consequently, pre-service teachers’own reasoning and sense making are useful in fostering and developing students’algebraic reasoning and sense making. We report here the features of pre-serviceteachers’ reasoning and sense making in algebra, specifically in the process ofanalysing problem posing, with a focus on first-degree equations. The followingresearch questions served as a guide in the analysis of data: What are the characteristicsof the problem-posing tasks used for reasoning and sense making of first-degreeequations? What are the characteristics of pre-service teachers’ reasoning and sensemaking in problem-posing tasks?This study is part of ongoing research carried out with pre-service teachers enrolled inthe abovementioned mathematics teacher education course. All the pre-serviceteachers were older than 19, from diverse socio-economic backgrounds and attendedclass for all 10 weeks of the semester, including the seven weeks in which data wascollected. Sixty-six pre-service primary teachers participated in an anonymous writtenexam and were informed about our research (characteristics, aim, confidentialityissues, etc.). The data analysis adopted a qualitative/interpretative approach, and theunit of analysis has three dimensions: reasoning, sense making and critical aspects.According to Olteanu (2020), reasoning and sense making are closely related to eachother and to these dimensions in the manner of a ‘rhizome’ (Deleuze & Guattari, 1987).Results revealed that the pre-service teachers create a rhizomatic reasoning and sensemaking that is characterized by lines of rupture. Those lines interconnect and arise fromincorrect translations of rhizomatic problem-posing task (RPPT) into mathematicalnotations and the failure to discern the difference between variables and variables asunknown numbers; i.e., between algebraic expression and equation. The characteristicsof reasoning in RPPT and of pre-service teachers are selecting, exploring,reconfiguring, encoding, abstracting, and connecting to highlight associations andrelationships between different content, and the characteristics of sense making arerecognition, relationships, profiling, comparing, laddering, and verifying.  

Place, publisher, year, edition, pages
Alicante: Universidad de Alicante, 2022
Series
Proceedings of the International Groups for the Psychology of Mathematics Education, ISSN 0771-100X
Keywords
first-degree equations, problem-posing, reasoning, sense making, critical aspects
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-115721 (URN)9788413021782 (ISBN)
Conference
45th Conference of the International Group for the Psychology of Mathematics Education.
Available from: 2022-08-11 Created: 2022-08-11 Last updated: 2023-10-27Bibliographically approved
Olteanu, C. & Olteanu, L. (2022). Tasks assemblage, sense-making, and reasoning in algebra: Creating Lesson Study in Sustaining Community and Providing Quality Education. In: International Conference of the World Association of Lesson Studies, Universiti Kebangsaan, Malaysia: . Paper presented at International Conference of the World Association of Lesson Studies, Universiti Kebangsaan, Malaysia .
Open this publication in new window or tab >>Tasks assemblage, sense-making, and reasoning in algebra: Creating Lesson Study in Sustaining Community and Providing Quality Education
2022 (English)In: International Conference of the World Association of Lesson Studies, Universiti Kebangsaan, Malaysia, 2022Conference paper, Oral presentation with published abstract (Refereed)
Keywords
Tasks assemblage, sense-making, reasoning, algebra
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-116870 (URN)
Conference
International Conference of the World Association of Lesson Studies, Universiti Kebangsaan, Malaysia 
Note

Ej belagd

Available from: 2022-10-16 Created: 2022-10-16 Last updated: 2023-10-27Bibliographically approved
Olteanu, C. & Olteanu, L. (2021). Connections promote sense-making and reasoning in algebra: A qualitative study of tasks assemblage among elementary school students.. In: Revisiting Lesson and Learning Studies: Accessibility, Quality, and Sustainability, World Association of Lesson Studies, Macau and Hong Kong: . Paper presented at Revisiting Lesson and Learning Studies: Accessibility, Quality, and Sustainability, World Association of Lesson Studies, Macau and Hong Kong, online 29 Nov.- 2 Dec 2021.
Open this publication in new window or tab >>Connections promote sense-making and reasoning in algebra: A qualitative study of tasks assemblage among elementary school students.
2021 (English)In: Revisiting Lesson and Learning Studies: Accessibility, Quality, and Sustainability, World Association of Lesson Studies, Macau and Hong Kong, 2021Conference paper, Oral presentation with published abstract (Refereed)
Keywords
algebra, reasoning; sense-making; connections; assemblage
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-108357 (URN)
Conference
Revisiting Lesson and Learning Studies: Accessibility, Quality, and Sustainability, World Association of Lesson Studies, Macau and Hong Kong, online 29 Nov.- 2 Dec 2021
Note

Ej belagd 211207

Available from: 2021-12-02 Created: 2021-12-02 Last updated: 2023-10-27Bibliographically approved
Olteanu, C. & Olteanu, L. (2021). Rational Expressions and Critical Aspects. In: ICMSE 2021 : International Conference on Mathematics, Science, and Education, Cancun, Mexico, april 5-6: . Paper presented at ICMSE 2021 : International Conference on Mathematics, Science, and Education, Cancun, Mexico, april 5-6. World Academy of Science, Engineering and Technology
Open this publication in new window or tab >>Rational Expressions and Critical Aspects
2021 (English)In: ICMSE 2021 : International Conference on Mathematics, Science, and Education, Cancun, Mexico, april 5-6, World Academy of Science, Engineering and Technology , 2021Conference paper, Oral presentation with published abstract (Refereed)
Place, publisher, year, edition, pages
World Academy of Science, Engineering and Technology, 2021
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-102375 (URN)
Conference
ICMSE 2021 : International Conference on Mathematics, Science, and Education, Cancun, Mexico, april 5-6
Available from: 2021-04-21 Created: 2021-04-21 Last updated: 2023-10-27Bibliographically approved
Olteanu, C. & Olteanu, L. (2020). Kommunicera med entydiga instruktioner: Programmering i grundsärskolan, åk 1-3. Stockholm: Skolverket
Open this publication in new window or tab >>Kommunicera med entydiga instruktioner: Programmering i grundsärskolan, åk 1-3
2020 (Swedish)Other (Other academic)
Place, publisher, year, pages
Stockholm: Skolverket, 2020. p. 4
Keywords
programmering, matematik
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-92706 (URN)
Note

Lärportalen: Matematik – Grundsärskolan åk 1–3 Modul: Programmering i grundsärskolan Del 4: Kommunicera med entydiga instruktioner

Available from: 2020-03-05 Created: 2020-03-05 Last updated: 2023-10-27Bibliographically approved
Olteanu, C. & Olteanu, L. (2020). Kommunicera med entydiga instruktioner: Programmering i grundsärskolan, åk 4-6. Stockholm: Skolverket
Open this publication in new window or tab >>Kommunicera med entydiga instruktioner: Programmering i grundsärskolan, åk 4-6
2020 (Swedish)Other (Other academic)
Place, publisher, year, pages
Stockholm: Skolverket, 2020. p. 4
Keywords
programmering, matematik
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-92715 (URN)
Note

Lärportalen: Matematik – Grundsärskolan åk 4–6 Modul: Programmering i grundsärskolan Del 4: Kommunicera med entydiga instruktioner

Available from: 2020-03-05 Created: 2020-03-05 Last updated: 2023-10-27Bibliographically approved
Olteanu, C. & Olteanu, L. (2020). Kommunikation i programmering: Programmering i grundsärskolan, åk 7-9. Stockholm: Skolverket
Open this publication in new window or tab >>Kommunikation i programmering: Programmering i grundsärskolan, åk 7-9
2020 (Swedish)Other (Other academic)
Place, publisher, year, pages
Stockholm: Skolverket, 2020. p. 4
Keywords
programmering, matematik
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-92725 (URN)
Note

Lärportalen: Matematik – Grundsärskolan åk 7–9 Modul: Programmering i grundsärskolan Del 4: Kommunikation i programmering

Available from: 2020-03-05 Created: 2020-03-05 Last updated: 2023-10-27Bibliographically approved
Olteanu, C. & Olteanu, L. (2020). Programmering för matematiklärare: hållbart för eleverna, lärarna, samhället och framtiden. In: Matematikbiennalen- Hållbar matematikundervisning - hållbart för eleverna, lärarna, samhället och framtiden, 16-17 januari, Växjö: . Paper presented at Matematikbiennalen- Hållbar matematikundervisning - hållbart för eleverna, lärarna, samhället och framtiden, 16-17 januari, Växjö. Växjö: Linnéuniversitetet
Open this publication in new window or tab >>Programmering för matematiklärare: hållbart för eleverna, lärarna, samhället och framtiden
2020 (Swedish)In: Matematikbiennalen- Hållbar matematikundervisning - hållbart för eleverna, lärarna, samhället och framtiden, 16-17 januari, Växjö, Växjö: Linnéuniversitetet , 2020Conference paper, Oral presentation with published abstract (Other academic)
Place, publisher, year, edition, pages
Växjö: Linnéuniversitetet, 2020
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-93186 (URN)
Conference
Matematikbiennalen- Hållbar matematikundervisning - hållbart för eleverna, lärarna, samhället och framtiden, 16-17 januari, Växjö
Note

Ej belagt 200409

Available from: 2020-03-29 Created: 2020-03-29 Last updated: 2023-10-27Bibliographically approved
Olteanu, C. & Olteanu, L. (2020). Programmering som språk: Programmering i grundsärskolan, åk 1-3. Stockholm: Skolverket
Open this publication in new window or tab >>Programmering som språk: Programmering i grundsärskolan, åk 1-3
2020 (Swedish)Other (Other academic)
Place, publisher, year, pages
Stockholm: Skolverket, 2020. p. 6
Keywords
programmering, matematik
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-92704 (URN)
Note

Lärportalen: Matematik – Grundsärskolan åk 1–3 Modul: Programmering i grundsärskolan Del 3: Programmering som språk

Available from: 2020-03-05 Created: 2020-03-05 Last updated: 2023-10-27Bibliographically approved
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