Publications
2025
Scholarly publications
Swidan, O., Trgalová, J., Schacht, F., Bos, R., Faggiano, E., & Bagossi, S. (2025). Learning mathematics with technology and other resources: A short report from TWG16. In M. Bosch, G. Bolondi, S. Carreira, S. Spagnolo, & M. Gaidoschik (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) Free University of Bozen-Bolzano and ERME. https://hal.science/CERME14/hal-05334465v1 [Portal]
Chen, M., Bos, R., Doorman, M., & Drijvers, P. (2025). Exploring instrumental orchestration practices for formative assessment through digital technology. In M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, & M. Gaidoschik (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) Free University of Bozen-Bolzano and ERME. http://hal.science/CERME14/hal-05298045v1 [Portal]
Wei, H., Bos, R., & Drijvers, P. (2025). Developing functional thinking through bimanual movements. In M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, & M. Gaidoschik (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) Free University of Bozen-Bolzano and ERME. https://hal.science/CERME14/hal-05307228v1 [Portal]
Bos, R. (2025). Heuristic trees and their fruits. In M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, & M. Gaidoschik (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) (pp. 1-8). Free University of Bozen-Bolzano and ERME. https://hal.science/CERME14/hal-05283597v1 [Portal]
Wei, H., Bos, R., & Drijvers, P. (2025). An embodied approach to covariational reasoning: a hand-tracking study. Educational Studies in Mathematics. Advance online publication. [DOI]
van der Hoek, G., Jeuring, J., & Bos, R. (2025). Combining Model Tracing and Constraint-Based Modeling for Multistep Strategy Diagnoses. In A. I. Cristea, E. Walker, Y. Lu, O. C. Santos, & S. Isotani (Eds.), Artificial Intelligence in Education - 26th International Conference, AIED 2025, Proceedings (pp. 430-436). (Lecture Notes in Computer Science; Vol. 15882 LNAI). Springer. [DOI]
van der Hoek, G., Jeuring, J., & Bos, R. (2025). Buggy Rule Diagnosis for Combined Steps Through Final Answer Evaluation in Stepwise Tasks. In A. I. Cristea, E. Walker, Y. Lu, O. C. Santos, & S. Isotani (Eds.), Artificial Intelligence in Education - 26th International Conference, AIED 2025, Palermo, Italy, July 22–26, 2025, Proceedings (pp. 347-360). (Lecture Notes in Computer Science; Vol. 15879 LNAI). Springer. [DOI]
Wei, H., Bos, R., & Drijvers, P. (2025). A digital-embodied design for functional thinking in the classroom. Mathematical Thinking and Learning. Advance online publication. [DOI]
van Wijk, J., Shvarts, A., Bos, R., & Doorman, M. (2025). Engaging secondary school students in building formulas based on mathematical folding. In G. Lu, Z. You, & M. Assis (Eds.), Origami8, Volume IV - Proceedings of the 8th International Meeting on Origami in Science, Mathematics and Education 8OSME: Proceedings of the 8th International Meeting on Origami in Science, Mathematics and Education (8OSME) (pp. 501-516). (Lecture Notes in Mechanical Engineering). Springer. [DOI]
2024
Scholarly publications
van der Hoek, G., Heeren, B., Bos, R., Drijvers, P., & Jeuring, J. (2024). Students’ experiences with automated final answer diagnoses for mathematics tasks. In Proceedings of FAME 1: Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands) (pp. 294-301). Utrecht University. [DOI] [Portal]
Bos, R., & Kuijpers, R. (2024). Assessment through mathematical problem-posing. In P. Iannone, F. Moons, C. Drüke-Noe, E. Gerianou, F. Morselli, K. Klingbeil, M. Veldhuis, S. Olsher, & H. Corinna (Eds.), Proceedings of FAME 1– Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands): FAME- Feedback & Assessment in Mathematics Education, Utrecht University & ERME, Jun 2024, Utrecht, Netherlands (pp. 63-70). Utrecht University. http://10.5281/zenodo.14231455 [Portal]
Bos, R., & Floor, I. (2024). The augmented reality sandbox as an embodied learning environment for mathematics. 420-421. https://www.uniba.it/it/ateneo/editoria-stampa-e-media/linea-editoriale/fuori-collana/meda4-proceedings-30.pdf
Bos, R., & Brinks, L. (2024). Teaching the derivative using arrow graphs in GeoGebra. In E. Faggiano, A. Clark-Wilson, M. Tabach, & H.-G. Weigand (Eds.), Proceedings of the 17th ERME Topic Conference MEDA 4 (pp. 113-120). University of Bari Aldo Moro. https://www.uniba.it/it/ateneo/editoria-stampa-e-media/linea-editoriale/fuori-collana/meda4-proceedings-30.pdf [Portal]
van Wijk, J., Shvarts, A., Bos, R., & Doorman, M. (2024). Informal to formal transition in mathematical folding. Paper presented at 15th International Congress on Mathematical Education, Sydney, Australia.
Professional publications
Bos, R. (2024). De afgeleide als veranderingsfactor. Euclides, 100(2), 14-17.
Brons, J., Vermeulen, B., & Bos, R. (2024). Nieuwe examenprogramma's wiskunde in de maak voor havo en vwo. Nieuw archief voor wiskunde. Serie 5, 25(1), 22-25. https://www.nieuwarchief.nl/serie5/toonnummer.php?deel=25&nummer=1&taal=0 [Repository]
2023
Scholarly publications
Swidan, O., Bos, R., Faggiano, E., Yemen, K. S., Schacht, F., & Trgalová, J. (2023). An introduction to TWG16: Learning mathematics with technology and other resources. In P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, & E. Kónya (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) (pp. 2855-2858). Alfréd Rényi Institute of Mathematics and ERME. https://hal.science/CERME13/hal-04394029v1 [Repository]
van Wijk, J., Shvarts, A., Bos, R., & Doorman, M. (2023). Activate students? Let them fold! Mathematical paper folding in secondary education in France and Germany. In P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, & E. Kónya (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) (pp. 4499-4506). European Society for Research in Mathematics Education. [Repository]
Wei, H., Bos, R., & Drijvers, P. (2023). An Embodied Approach to Abstract Functional Thinking Using Digital Technology: A Systematic Literature Review. International Journal for Technology in Mathematics Education, 30(2), 75-94. [DOI]
Jessen, B., Bos, R., Doorman, M., & Winsløw, C. (2023). Lesson study in mathematics with TDS and RME as theoretical support: two cases from the European TIME project. International Journal for Lesson and Learning Studies, 12(1), 52-64. [DOI] [Repository]
Professional publications
Bos, R. (2023). Stelling van Pythagoras: nieuw bewijs door scholieren. Euclides, 99(1), 32.
Bos, R., Wei, H., van der Hoek, G., & Drijvers, P. (2023). Nomogrammen: een nieuwe kijk op functies. Euclides, 98(7), 8-11.
Bos, R. (2023). Wiskundig redeneren bij de Wiskunde B-dag. Euclides, 98(5), 8-11.
Bos, R., & van Beelen, G. (2023). Blended wiskundeonderwijs: uitdagingen en kansen. Euclides, 98(4), 14-17. https://www.nvvw.nl/2023/01/inhoud-euclides-98-4/
2022
Scholarly publications
Doorman, M., Bos, R., & Duijzer, C. (2022). Developing Basic Principles of Calculus and Motion in Lower Secondary Education. In C. Michelsen, A. Beckmann, U. T. Jankvist, & A. Savard (Eds.), Mathematics and Its Connections to the Arts and Sciences (MACAS): 15 Years of Interdisciplinary Mathematics Education (pp. 311-323). Springer. [DOI] [Repository]
Bos, R., & van den Bogaart, T. (2022). Teachers' design of heuristic trees. Hiroshima Journal for Mathematics Education, 15(1). [DOI] [Repository]
Wei, H., Bos, R., & Drijvers, P. (2022). Embodied approaches to functional thinking using digital technology: A bibliometrics-guided review. Paper presented at Twelfth Congress of the European Society for Research in Mathematics Education, Bozen-Bolsano, Italy. https://hal.archives-ouvertes.fr/hal-03748999 [Repository]
Bos, R. (2022). Action-property duality in embodied design. Paper presented at Twelfth Congress of the European Society for Research in Mathematics Education, Bozen-Bolsano, Italy. https://hal.archives-ouvertes.fr/hal-03748173 [Repository]
Bos, R., Kouropatov, A., & Swidan, O. (2022). Editorial to the special issue on tools to support meaning-making in calculus and pre-calculus education. Teaching Mathematics and its Applications, 41(2), 87-91. [DOI] [Repository]
Bos, R., & Renkema, W. (2022). Metaphor-based algebra animation. In U. T. Jankvist, R. Elicer, A. Clark-Wilson, H.-G. Weigand, & M. Thomsen (Eds.), Proceedings of the 15th International Conference on Technology in Mathematics Teaching: Making and Strengthening "Connections and Connectivity" for Teaching Mathematics with Technology (pp. 29-36). (Proceedings). Aarhus University. [Repository]
Bos, R., & van den Bogaart, T. (2022). Heuristic Trees as a Digital Tool to Foster Compression and Decompression in Problem‑Solving. Digital Experiences in Mathematics Education, 8, 157–182. [DOI] [Repository]
Bos, R., Doorman, M., Drijvers, P., & Shvarts, A. (2022). Embodied design using augmented reality: the case of the gradient. Teaching Mathematics and its Applications, 41(2), 125-141. [DOI] [Repository]
Professional publications
Bos, R., de Haan, D., & Jonker, V. (2022). WiTje 12 - Jongleren. Freudenthal Instituut, Universiteit Utrecht. https://www.fisme.science.uu.nl/toepassingen/29152/
Bos, R. (Ed.), Bašić, M., Ćulav Markičević, M., Doorman, M., Jessen, B., Milin Šipuš, Ž., Suban, M., & Špalj, E. (2022). TIME2: A guide for a course on designing for inquiry-based mathematics education. https://time-project.eu/sites/default/files/2022-07/TIMEsquared_course.pdf [Repository]
Bos, R. (Ed.), Doorman, M., Besamusca, A., & Winsløw, C. (2022). TIME2: A compendium for designing inquiry-based mathematics education. https://time-project.eu/sites/default/files/2022-07/TIMEsquared_compendium.pdf [Repository]
Bos, R. (2022). Van taxicab-getallen en algebraïsche raaklijnen. Euclides, 97(5), 34-36.
2021
Scholarly publications
Bos, R., & Lemmink, R. (2021). Supporting students to compress mathematical knowledge while problem solving. 1-4. Paper presented at International Conference on Mathematics Education, Shanghai, China. [Repository]
Professional publications
FunThink-team (2021). Vision document on functional thinking. https://www.funthink.eu/fileadmin/user_upload/io1_vision_document_version_2.0.pdf
Bos, R., & Jonker, V. (2021). Niet transitieve dobbelstenen. Freudenthal Instituut, Universiteit Utrecht. https://www.fisme.science.uu.nl/toepassingen/28988/
Bos, R., & van den Bogaart, T. (2021). Vastgelopen? Je kunt de boom in! Uitwiskeling, 37(2), 14-17. https://www.uitwiskeling.be/2021/05/08/vastgelopen-je-kunt-de-boom-in/?v=796834e7a283
Bos, R., Boss-Reus, C., Holten, F., & Praagman, F. (2021). De sinus een zaagtand? Verslag van een lesson study. Euclides, 97(3), 4.
2020
Scholarly publications
Bos, R. D., Doorman, L. M., & Piroi, M. (2020). Emergent models in a reinvention activity for learning the slope of a curve. Journal of Mathematical Behavior, 59, Article 100773. [DOI] [Repository]
Professional publications
Bos, R. (2020). Practical issues for Lesson Study within TIME. In M. Bašić (Ed.), A short introduction to Lesson Study: TIMEless ideas for professional development (pp. 30-39). Teachers' Inquiry in Mathematics Education.
Bos, R. D., & Jonker, V. H. (2020). Eenvouwdig. Euclides, 96(1). https://www.fisme.science.uu.nl/toepassingen/28850/
van den Bogaart, T., & Bos, R. D. (2020). Vastgelopen? Je kunt de boom in! Euclides, 96(2), 4-7. [Repository]
Alberto, R. A., & Bos, R. D. (2020). Embodied cognition in wiskundeonderwijs. Euclides, 95(5), 4-6. [Repository]
2019
Scholarly publications
Bos, R. D., Doorman, L. M., Cafuta, K., Praprotnik, S., Antoliš, S., & Bašić, M. (2019). Supporting the reinvention of the slope of a curve in a point: A smooth slope to slide is a smooth slide to slope. In U. T. Jankvist, M. van den Heuvel-Panhuizen, & M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education Freudenthal Group & Freudenthal Institute, Utrecht University and ERME. https://www.mathematik.uni-dortmund.de/~erme/index.php?slab=proceedings
Doorman, L. M., Bos, R. D., de Haan, D. L., Jonker, V. H., Besamusca, A., & Wijers, M. M. (2019). Making and Implementing a Mathematics Day Challenge as a Makerspace for Teams of Students. International Journal of Science and Mathematics Education, 17(1), 149-165. [DOI] [Repository]
Professional publications
Bos, R. D., & Doorman, L. M. (Eds.) (2019). MERIA Workshop Guide. https://meria-project.eu/sites/default/files/2019-08/MERIA%20Workshop%20Guide.pdf [Repository]
2018
Professional publications
Bos, R. D. (2018). Meetkundige kijk op modulorekenen: Impressie van de wiskunde B-dag-opdracht 2017. Euclides, 94(1), 39-42. [Repository]
Wijnker, W., & Bos, R. D. (2018). Een goede onderwijsvideo dient een helder doel. NVOX, 43(4), 212-213. https://www.nvon.nl/nvox/een-goede-onderwijsvideo-dient-een-helder-doel
2017
Scholarly publications
Bos, R. D. (2017). Structuring hints and heuristics in intelligent tutoring systems. In G. Aldon, & J. Trgalová (Eds.), Proceedings of the 13th International Conference on Technology in Mathematics Teaching (pp. 436-439) [Repository]
Professional publications
Bos, R. D., & Tak, S. W. (2017). Symmetrie in telproblemen en puzzels. (Zebra-reeks; Vol. 51). Epsilon Uitgaven.
Bos, R. D. (2017). Realistic mathematics education. In C. Winsløw (Ed.), Practical guide to inquiry based mathematics teaching (pp. 46-59) [Repository] [Repository]
2015
Professional publications
Tak, S. W., Bos, R. D., & Kleijer, C. C. (2015). Het FIzier gericht op... open problemen. Euclides, 91(1), 26-27. [Repository]
2011
Scholarly publications
Bos, R. D. (2011). Continuous representations of groupoids. Houston Journal of Mathematics, 37(3). https://www.math.uh.edu/~hjm/restricted/pdf37(3)/09bos.pdf
2007
Scholarly publications
Bos, R. D. (2007). Geometric quantization of Hamiltonian actions of Lie algebroids. In XV International Workshop on Geometry and Physics (Vol. 11, pp. 245-251). Publicaciones de la Real Sociedad Matemática Española.
Bos, R. D. (2007). Geometric quantization of Hamiltonian actions of Lie algebroids and Lie groupoids. International Journal of Geometric Methods in Modern Physics, 4(3).
2006
Scholarly publications
Bos, R. D. (2006). Groupoids in geometric quantization: PhD-thesis. privately published. http://repository.ubn.ru.nl/bitstream/handle/2066/30185/30185_grouingeq.pdf?sequence=1