The Fourth Interdisciplinary Scientific Conference
Mathematical Transgressions
13 – 16 March, 2019
Conference Program
Wednesday, 13th March 2019
8.30 – 9.00 Registration (in front of Auditorium)
9.00 – 9.15 Opening Ceremony (Auditorium)
9.15 – 10.15 David Tall, University of Warwick, UK
Complementing supportive and problematic aspects of mathematics to resolve transgressions in long-term sense making
10.15 – 10.45 Coffee break (Aula)
10.45 – 11.45 Ingo Witzke, University of Siegen, Germany
Epistemological Beliefs about Mathematics in Education
11.45 – 12.00 Moving break
12.00 – 13.00 Zbigniew Semadeni, University of Euroregional Economy, Józefów-Warsaw, Poland
Rhythms, gestures, subitizing and learning to count
13.00 – 14.30 Lunch break (Aula)
14.30 – 15.30 Władimir Mitiuszew, Pedagogical University of Cracow, Poland
Higher education in computer epoch. How to teach biology, chemistry, economy, engineering, geography, informatics ... and mathematics?
15.30 – 16.30 Session 1A: New technologies and mathematics
Felicitas Pielsticker, University of Siegen, Germany
Concept Building in Mathematics Classrooms using New Media: Theoretical Perspectives and Empirical Insights on the Example of 3D-Printing Technology
Sylwia Kania, University of Silesia, Katowice, Poland
Transgressions between "old" methods of problem solving and "new" students
16.30 – 16.45 Moving break
16.45 – 17.45 Session 1B: New technologies and mathematics
Katarzyna Wadoń-Kasprzak, Witold Pilecki University of Applied Sciences in Oświęcim, Poland
Forming the concept of parameter through the work with computer algebra software
Janina Duda, Witold Pilecki University of Applied Sciences in Oświęcim, Poland
Mathematical transgressions of gifted students inspired by using information technology
20.00 – 22.30 Conference Dinner (Pistacja Restaurant, Karmelicka 7)
Thursday, 14th March 2019
9.00 – 10.00 Rina Zazkis, Simon Fraser University, Canada
On interplay between research, mathematics and pedagogy
10.00 – 10.30 Coffee break
10.30 – 12.00 Session 2: Mathematics teaching
Adedeji Tella, University of Ibadan, Nigeria
Use of self-regulated learning strategies by senior secondary school mathematics students
Mirosława Sajka, Pedagogical University of Cracow, Poland
The notion of function as a mathematical study of movement - an excerpt from eye-tracking research
Roberto Tortora, Università degli Sudi di Napoli Federico II, Italy
Very often students’ errors are all but mistakes
12.00 – 12.15 Moving break
12.15 – 13.45 Session 3: Mathematics teachers’ education
Stanislav Lukáč, Tadeáš Gavala, Pavol Jozef Šafárik University in Košice, Slovakia
Development of pre-service mathematics teachers' competencies for inquiry-based teaching
Nelleke den Braber, NHL Stenden University of Applied Sciences, Netherlands
Jenneke Krüger, Freudenthal Institute, University of Utrecht, Netherlands
Gaining perspective: lessons from interviews with non-mathematics teachers by pre-service mathematics teachers
Basia Pieronkiewicz, Pedagogical University of Cracow, Poland
High-school mathematics textbooks as the potential source of pre-service teachers’ images of a line tangent to a plane curve
13.45 – 15.00 Lunch break
15.00 – 16.30 Session 4: History of mathematics
Janet Barnett, Colorado State University – Pueblo, USA
Transgressions in Nineteenth-century Mathematics: Meaningful Context for Today’s Classroom
András Benedek, Research Centre for the Humanities, Hungarian Academy of Sciences, Hungary
On the Role of Model Theory in Understanding Mathematical Transgressions: Some examples from the history of continuity, computability and categoricity
Marlena Fila, Pedagogical University of Cracow, Poland
On continuity in Bolzano’s 1817 Rein analytischer Beweis
16.30 – 17.00 Coffee break
17.00 – 18.30 Piotr Błaszczyk, Pedagogical University of Cracow, Poland
On Euler's formula. Between standard and non-standard analysis (workshop)
Friday, 15th March 2019
9.00 – 10.00 Anna Sfard, University of Haifa, Israel
Discursive gaps in mathematics classroom: the invisible pitfalls of routines
10.00 – 10.30 Coffee break
10.30 – 13.00 Session 5: Communication and mathematics
Jorge Soto-Andrade, University of Chile, Chile
Daniela Diaz-Rojas, University of Oxford, UK
Alexandra Yañez-Aburto, University of Chile, Chile
Metaphorising and enacting as a means of transgression in the learning of mathematics
Gaya Jayakody, University of Sri Jayewardenepura, Sri Lanka
Realizations and commognitive conflicts in the discourse of ‘continuous functions’
Janet Barnett, Colorado State University – Pueblo, USA
Cihan Can, Florida State University, USA
Kathleen Clark, Florida State University, USA
Learning Mathematics from Primary Sources: Meta-Discursive Rules, Exogenous Growth and Transgressive Acts
Ioannis Vandoulakis, Hellenic Open University, Greece
Proof-Events as a Fundamental Methodological Concept Integrating History of Mathematics into Intercultural Mathematics Education
Karl Heuer, Technical University of Berlin, Germany
Deniz Sarikaya, Universität Hamburg, Germany
Variations in open problem fields as a tool for mathematical education: From basics to open questions in the twinkling of an eye
13.00 – 14.30 Lunch break
14.30 – 15.30 Jakub Jernajczyk, Academy of Art and Design, Wrocław, Poland
Thinking in images – mathematical inspirations in contemporary conceptual art
15.30 – 15.45 Moving break
15.45 – 17.15 Session 6: Mathematics and Arts
Melissa Rodd, UCL Institute of Education, United Kingdom
Introducing mathematics through art, a case study: Maryam Mirzakhani’s geometry for high school students
Agata Hoffmann, University of Wrocław, Poland
Zvi Hecker and his mathematical inspirations
Michaela Kaslová, Charles University, Czech Republic
Paola Vighi, Università di Parma, Italy
How young pupils perceive geometrical shapes and structure?
17.30 - 19.00 Farewell Meeting
Saturday, 16th March 2019
9.00 – 10.00 Gerald Goldin, Rutgers University, USA
Beauty, Insight, Power, and Connection: The Conative Dimension of Mathematical Engagement
10.00 – 10.30 Coffee break
10.30 – 12.00 Session 7: Affect and mathematics
Bronisław Czarnocha, Hostos CC, CUNY, NYC, USA
Gerald Goldin, Rutgers University, USA
Peter Liljedahl, Simon Fraser University, Canada
Illuminating Aha!Moment through the Analysis of Relationships between Affect, Cognition and Conation
Kathleen Clark, Florida State University, USA
Cihan Can, Florida State University, USA
Primary Source Projects as Transgressive Acts: Perspectives on Affective Experiences
Monika Szczygieł, Pedagogical University of Cracow, Poland
Math anxiety of mothers, fathers, and teachers explains math anxiety and mathematical performance of early school-age children
12.00 – 12.30 Closing ceremony
12.30 – 14.00 Lunch