Research Work
Engagement with students and teachers concerning the Arithmetic of Infinity is supported and paralleled by ongoing research work at the intersection of mathematics, philosophy, and mathematics education.
Publications focussing on the Arithmetic of Infinity in Mathematics Education
Engagement with students and teachers concerning the Arithmetic of Infinity is supported and paralleled by ongoing research work at the intersection of mathematics, philosophy, and mathematics education.
Publications focussing on the Arithmetic of Infinity in Mathematics Education
- Mazzia F. 2022. `A computational point of view on teaching derivatives', Informatics and education 37, pp.79-86.
- Nasr, L. 2022. `The Effect of Arithmetic of Infinity Methodology on Students’ Beliefs of Infinity', Mediterranean Journal for Research in Mathematics Education, 19, pp.5--19.
- Ingarozza, F., Adamo, M.T., Martino, M., Piscitelli, A. 2020. `A Grossone-Based Numerical Model for Computations with Infinity: A Case Study in an Italian High School', Lecture Notes in Computer Science book series 11973, pp. 451–462.
- Antoniotti, L., Caldarola, F., d’Atri, G., Pellegrini, M. 2020. `New approaches to basic calculus: an experimentation via numerical computation', Lecture Notes in Computer Science book series 11973, pp.329–342.
- Iannone, P., D. Rizza and A. Thoma 2018. `Investigating secondary school students' epistemologies through a class activity concerning infinity', in E.Berqvist, M. Osterholm, C. Granberg and L. Sumpter (eds) Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education (Vol 3, 131-138). Umea, Sweden: PME.
- Rizza, D. 2019. `Numerical methods for infinite decision-making processes'. International Journal of Unconventional Computing 14, 139-158.
- Rizza, D. 2018. `How to make an infinite decision' [abstract only]. The Bulletin of Symbolic Logic 24, p.227.R
- Rizza, D. 2017. `A study of mathematical determination through Bertrand's paradox', Philosophia Mathematica, 26, 375-395 (open access).
- Rizza, D. 2016. `Supertasks and numeral systems', American Institute of Physics Conference Proceedings, 1776, 090005.
- Rizza, D. January 2020. 'A new arithmetical approach to infinite decision-making processes', 3rd International Conference on Modern Mathematical Methods and High Performance Computing in Science and Technology, Inderprastha Engineering College, Ghaziabad, Uttar Pradesh, India.
- Rizza, D. September 2019. 'Bijections and Euclidean set-size measures', Philosophy of Probability Symposium at the 2019 European Association for Philosophy of Science Conference, University of Geneva.
- Rizza, D. June 2019. 'Bijections and Euclidean set-size measures', NUMTA2019, University of Calabria and SIAM, Crotone.
- Rizza, D. June 2018. 'Numerical models of infinite decisions', Norms and Normativity, ENS Lyon.
- Rizza, D. August 2017. 'How to make an infinite decisions', invited talk at the Logic Colloquium 2017, University of Stockholm.
- Rizza, D. June 2017. 'A new numerical treatment of Bertrand's paradox' , Italian Society for Logic and Philosophy of Science Conference, University of Bologna.
- Rizza, D. May 2017. 'Numeral representations of completed sequential processes', Formal Methods and Science in Philosophy, University of Zagreb, Inter-University Center, Dubrovnik.
- Rizza, D. June 2016. 'Teaching the Arithmetic of Infinity', NUMTA16: Numerical Algorithms and Computations, University of Calabria and SIAM, Pizzo Calabro.
- Rizza, D. June 2016. 'Supertasks and numeral systems', NUMTA16: Numerical Algorithms and Computations, University of Calabria and SIAM, Pizzo Calabro.
- e.