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Olteanu, Lucian
Publications (10 of 53) Show all publications
Olteanu, C. & Olteanu, L. (2019). Examples in mathematics: Difference and repetition. In: Mellony Graven, Hamsa Venkat, Anthony A Essien, Pamela Vale (Ed.), Proceedings of the 43rd Conference of the International Groupfor the Psychology of Mathematics Education: Pretoria, South Africa, 7 – 12 July 2019. Paper presented at The 43rd Conference of the International Group for the Psychology of Mathematics Education - Improving access to the power of mathematics, Pretoria, South Africa, 7 – 12 July 2019 (pp. 169-176). IGPME, 3
Open this publication in new window or tab >>Examples in mathematics: Difference and repetition
2019 (English)In: Proceedings of the 43rd Conference of the International Groupfor the Psychology of Mathematics Education: Pretoria, South Africa, 7 – 12 July 2019 / [ed] Mellony Graven, Hamsa Venkat, Anthony A Essien, Pamela Vale, IGPME , 2019, Vol. 3, p. 169-176Conference paper, Published paper (Refereed)
Abstract [en]

The availability of instructional examples in the mathematics classroom challenges theway teachers confront students with several aspects of the content, which cancontribute to designating the generality of mathematical concepts. Using the theory ofvariation and Deleuze’s philosophical concepts as the main interpretative framework,this study investigates what is involved in repetition and the nature of its interiority,what we understand by conceptual difference and difference without concept in adevelopment study. The data consisted of 36 teachers’ lesson plans. Qualitativeanalysis of these data led to the identification of events types and the characteristics ofrepetition.

Place, publisher, year, edition, pages
IGPME, 2019
Series
Proceedings of the International Groups for the Psychology of Mathematics Education, ISSN 0771-100X
Keywords
variation theory, examples, mathematics, difference, repetition
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-86247 (URN)978-0-6398215-4-2 (ISBN)978-0-6398215-5-9 (ISBN)
Conference
The 43rd Conference of the International Group for the Psychology of Mathematics Education - Improving access to the power of mathematics, Pretoria, South Africa, 7 – 12 July 2019
Available from: 2019-07-08 Created: 2019-07-08 Last updated: 2019-08-30Bibliographically approved
Olteanu, C. & Olteanu, L. (2019). Programmering för matematiklärare: Årskurs 1-6 (1ed.). Malmö: Studentlitteratur AB
Open this publication in new window or tab >>Programmering för matematiklärare: Årskurs 1-6
2019 (Swedish)Book (Other academic)
Abstract [en]

Att kunna förstå och använda programmering är en betydelse
full kompetens i dagens samhälle. Programmering finns numera med i skolans läroplaner och syftet är att ge elever grundläggande kunskaper i hur de kan lösa problem med hjälp av programmering.Denna bok vänder sig i första hand till matematiklärare i årskurs 1–6 och täcker in den programmering som finns definierad i kursplanen.

Lärare behöver känna till vad, hur, varför och när man kan sammanväva matematiken med programmering för att kunna möta och utveckla elevens tankar, idéer och resonemang. Boken utgår från metodisk variation i syfte att utforma undervisningen i matematik med programmering och tvärtom.

Programmering för matematiklärare presenteras en mängd konkreta exempel och förslag på aktiviteter, som visar på hur man kan arbeta med programmering i matematik i den visuella programmeringsmiljön Scratch.

Boken vänder sig till lärarutbildare, verksamma lärare,lärarstuderande och övriga med intresse för att utveckla program
meringen i grundskolans årskurser F–6.

Place, publisher, year, edition, pages
Malmö: Studentlitteratur AB, 2019. p. 128 Edition: 1
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-82281 (URN)9789144127125 (ISBN)
Available from: 2019-04-26 Created: 2019-04-26 Last updated: 2019-05-06Bibliographically approved
Olteanu, L., Karlsson, N. & Olteanu, C. (2019). Programming and angles: patterns of variation. In: Mellony Graven, Hamsa Venkat, Anthony A Essien, Pamela Vale (Ed.), Proceedings of the 43rd Conference of the International Groupfor the Psychology of Mathematics Education: Pretoria, South Africa, 7 – 12 July 2019. Paper presented at Proceeding of the 43rd Conference of the International Group for the Psychology of Mathematics Education - Improving access to the power of mathematics, Pretoria, South Africa, 7 – 12 July 2019 (pp. 81-81). , 4
Open this publication in new window or tab >>Programming and angles: patterns of variation
2019 (English)In: Proceedings of the 43rd Conference of the International Groupfor the Psychology of Mathematics Education: Pretoria, South Africa, 7 – 12 July 2019 / [ed] Mellony Graven, Hamsa Venkat, Anthony A Essien, Pamela Vale, 2019, Vol. 4, p. 81-81Conference paper, Oral presentation with published abstract (Refereed)
Abstract [en]

In several countries including Sweden programming is introduced to secondary students mainly as a part of the mathematics curriculum. “Scratch” is used as a tool inprogramming and this has become a common trend in many countries. However, teaching mathematics using “Scratch” is not appropriate for in-service teachers.

Several research findings show that angle, as a mathematical concept, is difficult to teach and learn (Mitchelmore & White, 2004). We conducted a study in which researchers worked with 32 in-service mathematics teachers in grades 7-9. Because angles are essential characteristics of two- and three-dimensional geometrical objects,the aim of this study was to give in-service teachers the opportunity to improve their experience of using “Scratch” in order to enhance students understanding of angles. Observation, tasks used, video samples and field notes were used as data collecting tools.

The data gathered were analysed in a qualitative way using concepts of the variation theory (Marton, 2015). The variation theory was also used to focus teachers’ attentionon aspects that were possible to discern by using “Scratch”. Angle is a geometric concept but it possesses properties that can be found in various other contexts. The variation theory of learning stems from the concept of phenomenography (e. g.,Marton, 2015). It emphasizes variation as a necessary condition for learners to be ableto discern new aspects of a subject of study.

Based on a preliminary analysis, we could discern three concepts of angle: (1) angle asa movement (in rotation or sweep), (2) angle as a geometric shape (a partitioning of space by two intersecting beams), and (3) angle as a unit for measure. There appears to be an alignment between in-service teachers using “Scratch” and their instructional practices that will be discussed in this presentation in detail. The use of patterns of variation in programming will also be presented.

Series
Proceedings of the International Groups for the Psychology of Mathematics Education, ISSN 0771-100X
Keywords
programming, angles, variation theory, patterns of variation
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-86248 (URN)978-0-6398215-6-6 (ISBN)978-0-6398215-7-3 (ISBN)
Conference
Proceeding of the 43rd Conference of the International Group for the Psychology of Mathematics Education - Improving access to the power of mathematics, Pretoria, South Africa, 7 – 12 July 2019
Available from: 2019-07-08 Created: 2019-07-08 Last updated: 2019-08-30Bibliographically approved
Olteanu, L. (2018). Critical aspects and rational expressions. In: International Congress of Mathematicians (ICM 2018), 1-9 August, 2018, Rio de Janeiro, Brazil: . Paper presented at International Congress of Mathematicians (ICM 2018), 1-9 August, 2018, Rio de Janeiro, Brazil.
Open this publication in new window or tab >>Critical aspects and rational expressions
2018 (English)In: International Congress of Mathematicians (ICM 2018), 1-9 August, 2018, Rio de Janeiro, Brazil, 2018Conference paper, Oral presentation with published abstract (Refereed)
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-77171 (URN)
Conference
International Congress of Mathematicians (ICM 2018), 1-9 August, 2018, Rio de Janeiro, Brazil
Available from: 2018-08-16 Created: 2018-08-16 Last updated: 2018-09-11Bibliographically approved
Olteanu, C. & Olteanu, L. (2018). Difference and repetition: instructional examples. In: Umeå Universitet (Ed.), Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education: . Paper presented at International Group for the Psychology of Mathematics Education (PME42) - Delight in Mathematics Education, 3-8 July, 2018, Sweden.
Open this publication in new window or tab >>Difference and repetition: instructional examples
2018 (English)In: Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education / [ed] Umeå Universitet, 2018Conference paper, Published paper (Refereed)
Series
Proceedings of the International Groups for the Psychology of Mathematics Education, ISSN 0771-100X
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-76743 (URN)
Conference
International Group for the Psychology of Mathematics Education (PME42) - Delight in Mathematics Education, 3-8 July, 2018, Sweden
Available from: 2018-07-10 Created: 2018-07-10 Last updated: 2019-01-18Bibliographically approved
Olteanu, C. & Olteanu, L. (2018). Investigating Difference and Repetition in Mathematics Teachers’ Professional Development. Philosophy of Mathematics Education Journal, 33, 1-11
Open this publication in new window or tab >>Investigating Difference and Repetition in Mathematics Teachers’ Professional Development
2018 (English)In: Philosophy of Mathematics Education Journal, ISSN 1465-2978, E-ISSN 1465-2978, Vol. 33, p. 1-11Article in journal (Refereed) Published
Place, publisher, year, edition, pages
Exeter: University of Exeter Press, 2018
Keywords
repetition, difference, variation theory, function, patterns of variation
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-69591 (URN)
Available from: 2018-01-06 Created: 2018-01-06 Last updated: 2018-02-01Bibliographically approved
Olteanu, C. & Olteanu, L. (2018). Kommunicera med entydiga instruktioner. Skolverket
Open this publication in new window or tab >>Kommunicera med entydiga instruktioner
2018 (Swedish)Other (Other academic)
Place, publisher, year, pages
Skolverket, 2018. p. 10
Keywords
programmering, algebra
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-73746 (URN)
Note

Ingår i Lärportalen för matematik, Grundskolan årskurs 1-3 ; Modul: Algebra ; Del 7: Kommunikation och programmering i algebraklassrummet

Available from: 2018-04-30 Created: 2018-04-30 Last updated: 2018-09-11Bibliographically approved
Olteanu, L. (2018). Kommunikation: en förunderlig resa i matematikklassrummet. In: Matematikbiennalen 2018, Matematik – En förunderlig resa, 25-26 januari, Karlsatd: . Paper presented at Matematikbiennalen 2018, Matematik – En förunderlig resa, 25-26 januari, Karlsatd.
Open this publication in new window or tab >>Kommunikation: en förunderlig resa i matematikklassrummet
2018 (Swedish)In: Matematikbiennalen 2018, Matematik – En förunderlig resa, 25-26 januari, Karlsatd, 2018Conference paper, Oral presentation with published abstract (Other academic)
Abstract [en]

Sammanfattning av presentation: Matematik betraktas, allmänt, som ett svårt ämne och hur lärare och elever tillsammans skapar miljöer som utmanar tänkandet kommer att påverka det sätt på vilket eleverna lär sig ämnet. Sådana miljöer skapas bland annat genom att kommunicera det matematiska innehållet i klassrummet. I min presentation kommer att ges exempel på vad det är som kännetecknar framgångsrik klassrumskommunikation, sättet på vilka framgångsrik klassrumskommunikation kan stödjas av lärare samt på vilka sätt kan klassrumskommunikationen påverkas genom uppgiftsdesign och undervisningens planering.

National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-71062 (URN)
Conference
Matematikbiennalen 2018, Matematik – En förunderlig resa, 25-26 januari, Karlsatd
Available from: 2018-02-25 Created: 2018-02-25 Last updated: 2018-06-05Bibliographically approved
Olteanu, C. & Olteanu, L. (2018). Kommunikation i olika programmeringsmiljöer. Skolverket
Open this publication in new window or tab >>Kommunikation i olika programmeringsmiljöer
2018 (Swedish)Other (Other academic)
Place, publisher, year, pages
Skolverket, 2018. p. 9
Keywords
programering, algebra
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-73751 (URN)
Note

Ingår i Lärportalen för matematik, Grundskolan årskurs 7-9 ; Modul: Algebra ; Del 7: Kommunikation och programmering i algebraklassrummet

Available from: 2018-04-30 Created: 2018-04-30 Last updated: 2018-09-11Bibliographically approved
Olteanu, C. & Olteanu, L. (2018). Kommunikation i visuella programmeringsmiljöer. Skolverket
Open this publication in new window or tab >>Kommunikation i visuella programmeringsmiljöer
2018 (Swedish)Other (Other academic)
Abstract [sv]

Ingår i Lärportalen för matematik, Grundskolan årskurs 4-6 ; Modul: Algebra ; Del 7 : Kommunikation och programmering i algebraklassrummet

Place, publisher, year, pages
Skolverket, 2018. p. 9
Keywords
programmering, algebra
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
urn:nbn:se:lnu:diva-73749 (URN)
Available from: 2018-04-30 Created: 2018-04-30 Last updated: 2018-09-11Bibliographically approved
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