Johanna Pejlare

Senior Lecturer at Algebra and geometry

My research is dedicated to the history of mathematics and mathematics education. I am primarily interested in the history of Swedish mathematics education. Among other things, I study some of the earliest Swedish textbooks in mathematics from the 17th and 18th centuries, where I am interested in how mathematical concepts have been introduced in Sweden, as well as the relationship between algebra and geometry. An example of this can be found in the mathematician Anders Gabriel Duhre, who in 1721 was the first to translate parts of Euclid's Elements into Swedish. Unlike many contemporary mathematicians, Duhre chose to place the geometric theorems in an algebraic context. One purpose of this was to be able to generalize the results to other types of quantities because the unknown quantity does not have to be, for example, a distance.

I also conduct research within the Akelius Math Learning Lab, which is a collaboration between Chalmers University of Technology, University of Gothenburg and Akelius Math AB. Within the Akelius Math Learning Lab, teachers and researchers collaborate to develop a freely available digital teaching material in mathematics in several languages, which should be able to be used in refugee camps and in schools with scarce resources.

During 2019-2021 I led the project "Programming for learning in mathematics", which was financed via ULF, University of Gothenburg. This practical research project in collaboration with Hvitfeldtska gymnasium aimed to investigate in which ways programming can offer opportunities for learning in mathematics.

In 2016-2019 I participated in the VR project "Towards research-based teaching in algebra", which was led by Kirsti Hemmi, then professor at Åbo Akademi. Within this project I studied, among other things, the role of algebra in school mathematics over the last 50 years. I have also been involved in an international comparative study (Sweden - Finland - Spain), led by Jon Star at Harvard, which focuses on students' flexibility in equation solving.

For many years I have closely collaborated with Kajsa Bråting, Uppsala university, mainly regarding research in history of mathematics. Kajsa is dearly missed and cherished in loving memory.

I am a member of the research group TLM - Teaching and Learning of Mathematics. I am part of the network N2AL - Nordic Network for Algebra Learning, which was started in the spring of 2016 at the initiative of researchers in algebra education in Sweden and Finland. Moreover, I am also a member of the advisory board for HPM - International Study Group on the relations between History and Pedagogy of Mathematics.

At Mathematical Sciences, I am the chairman of the Library Committee and a member of the Research Committee.

Source: chalmers.se
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Showing 21 publications

2023

Which One Is the “Best”: a Cross-national Comparative Study of Students’ Strategy Evaluation in Equation Solving

Ronghuan Jiang, Jon R. Star, Peter Hästö et al
International Journal of Science and Mathematics Education. Vol. 21 (4), p. 1127-1151
Journal article
2022

Exploring students’ procedural flexibility in three countries

Jon Star, Dimitri Tuomela, Nuria Joglar Prieto et al
International Journal of STEM Education. Vol. 9 (4)
Journal article
2022

Exemplifying different methodological approaches of analysing textbooks in mathematics

Kajsa Bråting, Cecilia Kilhamn, Olov Viirman et al
The relation between mathematics education research and teachers' professional development. Vol. 16, p. 125-129
Paper in proceeding
2022

Programming to learn mathematics - exploring student teachers' instrumental genesis

Johanna Pejlare, Laura Fainsilber
The relation between mathematics education research and teachers' professional development. Vol. 16, p. 69-79
Paper in proceeding
2021

Writing the History of Mathematics: Interpretations of the Mathematics of the Past and Its Relation to theMathematics of Today

Johanna Pejlare, Kajsa Bråting
Handbook of the Mathematics of the Arts and Sciences, p. 2395-2420
Book chapter
2021

Programmering för lärande i matematik – beskrivning av ett forskningsprojekt

Johanna Pejlare
Skrifter från SMDF. Vol. 15
Paper in proceeding
2021

Exploring student teachers’ instrumental genesis of programming

Johanna Pejlare, Laura Fainsilber
Other conference contribution
2021

Student teachers' learning and teaching mathematics with programming

Laura Fainsilber, Johanna Pejlare
Other conference contribution
2021

Programmering för en problembaserad undervisning i gymnasieskolan

Johanna Pejlare, Sverker Lundin
Programmering i skolmatematiken - möjligheter och utmaningar, p. 123-142
Book chapter
2019

The role of Swedish school algebra in a historical perspective

Kajsa Bråting, Johanna Pejlare
Other conference contribution
2019

Rizanesander’s Recknekonsten or “The art of arithmetic” – the oldest known textbook of mathematics in Swedish

Johanna Pejlare, Reza Russell Hatami
Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019), p. 2162-2169
Paper in proceeding
2019

Infinite sums and the calculation of 𝝅, as presented by the Swedish mathematician Anders Gabriel Duhre in the early 18th century

Johanna Pejlare
Proceedings of the Eighth European Summer University on History and Epistemology in Mathematics Education ESU 8. Vol. 2019 (11), p. 861-873
Paper in proceeding
2018

Characterizing Swedish school algebra – initial findings from analyses of steering documents, textbooks and teachers’ discourses

Kirsti Hemmi, Kajsa Bråting, Yvonne Liljekvist et al
Nordic Research in Mathematics Education: Papers of NORMA 17 - The Eighth Nordic Conference on Mathematics Education Stockholm, May 30 - June 2, 2017, p. 299-308
Paper in proceeding
2017

On the relationships between the geometric and the algebraic ideas in Duhre’s textbooks of mathematics, as reflected via Book II of Euclid’s Elements

Johanna Pejlare
“DIG WHERE YOU STAND” 4 Proceedings of the Fourth International Conference on the History of Mathematics Education, p. 263-273
Paper in proceeding
2016

On the relations between geometry and algebra in Gestrinius' edition of Euclid's Elements

Johanna Pejlare, Staffan Rodhe
Radford, L., Furinghetti, F., & Hausberger, T. (Eds.) (2016). Proceedings of the 2016 ICME Satellite Meeting of the International Study Group on the Relations Between the History and Pedagogy of Mathematics. Montpellier, France: IREM de Montpellier., p. 513-523
Paper in proceeding
2015

On the relations between historical epistemology and students’ conceptual developments in mathematics

Kajsa Bråting, Johanna Pejlare
Educational Studies in Mathematics. Vol. 89 (2), p. 251-265
Journal article
2008

Visualizations in Mathematics

K. Bråting, Johanna Pejlare
Erkenntnis. Vol. 68 (3), p. 345-358
Journal article
2007

Torsten Brodén's work on the foundations of Euclidean geometry

Johanna Pejlare
Historia Mathematica. Vol. 34 (4), p. 402-427
Journal article
2007

On axioms and images in the history of Mathematics

Johanna Pejlare
Doctoral thesis
2004

Torsten Brodén and the principles of geometry

Johanna Pejlare
Licentiate thesis

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