Dr. R.D. (Rogier) Bos

Dr. R.D. (Rogier) Bos

Assistant Professor
Freudenthal Institute
Mathematics Education
+31 30 253 8263
r.d.bos@uu.nl

Publications

2025

Scholarly publications

Wei, H., Bos, R., & Drijvers, P. (2025). A digital-embodied design for functional thinking in the classroom. Mathematical Thinking and Learning. https://doi.org/10.1080/10986065.2025.2493375
Bos, R., & Wigmans, M. (2025). Dynamic Visualization in Animated Mathematics Videos: Students’ Experiences and Learning Outcomes. International Journal for Technology in Mathematics Education, 32(1), 29-48. Article 20. https://doi.org/10.1564/tme_v32.1.03
van Wijk, J., Bos, R., Shvarts, A., & Doorman, M. (2025). Mathematics teachers’ professional experimentation with mathematical origami in secondary education. EURASIA Journal of Mathematics, Science and Technology Education , 21(2), Article em2572. https://doi.org/10.29333/ejmste/15911
https://research-portal.uu.nl/ws/files/257109582/mathematics-teachers-professional-experimentation-with-mathematical-origami-in-secondary-education-15911.pdf
ten Voorde, A., Piroi, M., & Bos, R. (2025). A taxonomy of didactic roles of dynamic visualization in animated mathematics videos. Teaching Mathematics and its Applications, 44(1), 47-67. https://doi.org/10.1093/teamat/hrae007
https://research-portal.uu.nl/ws/files/258340560/hrae007.pdf

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. https://doi.org/10.5281/zenodo.14231455
https://research-portal.uu.nl/ws/files/248180915/Students_experiences_with_automated_final_answer_diagnoses_for.pdf
Chen, M., Bos, R., Doorman, M., & Drijvers, P. (2024). Exploring instrumental orchestration practices in the context of formative assessment with technology. 335-336. Poster session presented at FAME1: Feedback & Assessment in Mathematics Education, Utrecht, Netherlands. https://doi.org/10.5281/zenodo.14231455
https://research-portal.uu.nl/ws/files/248179412/FAME_2024_paper_46.pdf
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
https://research-portal.uu.nl/ws/files/248123572/Assessment_through_mathematical_problem_posing.pdf
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
https://research-portal.uu.nl/ws/files/241658985/Binder1.pdf
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.
Shvarts, A., Bos, R., Doorman, M., & Drijvers, P. (2024). Reifying actions into artifacts: process–object duality from an embodied perspective on mathematics learning. Educational Studies in Mathematics, 117(2), 193-214. https://doi.org/10.1007/s10649-024-10310-y
https://research-portal.uu.nl/ws/files/241594894/s10649-024-10310-y.pdf
Wei, H., Bos, R., & Drijvers, P. (2024). Developing Functional Thinking: from Concrete to Abstract Through an Embodied Design. Digital Experiences in Mathematics Education, 10, 323–351. https://doi.org/10.1007/s40751-024-00142-z
https://research-portal.uu.nl/ws/files/243691753/s40751-024-00142-z.pdf

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
https://dspace.library.uu.nl/bitstream/handle/1874/436923/naw5-2024-25-1-022.pdf?sequence=1

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
https://dspace.library.uu.nl/bitstream/handle/1874/436950/IntroTWG16.pdf?sequence=1
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.
https://dspace.library.uu.nl/bitstream/handle/1874/436539/Activate_students.pdf?sequence=1
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. https://doi.org/10.1564/tme_v30.2.2
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. https://doi.org/10.1108/IJLLS-01-2022-0009
https://dspace.library.uu.nl/bitstream/handle/1874/431004/10-1108_IJLLS-01-2022-0009.pdf?sequence=1

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. https://doi.org/10.1007/978-3-031-10518-0_17
https://dspace.library.uu.nl/bitstream/handle/1874/425277/978_3_031_10518_0_17.pdf?sequence=1
Bos, R., & van den Bogaart, T. (2022). Teachers' design of heuristic trees. Hiroshima Journal for Mathematics Education, 15(1). https://doi.org/10.24529/hjme.1502
https://dspace.library.uu.nl/bitstream/handle/1874/424102/Vol15_Issue1_02.pdf?sequence=1
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
https://dspace.library.uu.nl/bitstream/handle/1874/422322/TWG16_29_Wei.pdf?sequence=1
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
https://dspace.library.uu.nl/bitstream/handle/1874/422256/TWG16_02_Bos.pdf?sequence=1
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. https://doi.org/10.1093/teamat/hrac008
https://dspace.library.uu.nl/bitstream/handle/1874/421238/hrac008.pdf?sequence=1
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.
https://dspace.library.uu.nl/bitstream/handle/1874/420787/Metaphor_based_algebra_animation.pdf?sequence=1
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. https://doi.org/10.1007/s40751-022-00101-6
https://dspace.library.uu.nl/bitstream/handle/1874/430999/s40751-022-00101-6.pdf?sequence=1
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. https://doi.org/10.1093/teamat/hrab011
https://dspace.library.uu.nl/bitstream/handle/1874/420849/hrab011.pdf?sequence=1

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
https://dspace.library.uu.nl/bitstream/handle/1874/421500/TIMEsquared_course.pdf?sequence=1
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
https://dspace.library.uu.nl/bitstream/handle/1874/421229/TIMEsquared_compendium.pdf?sequence=1
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.
https://dspace.library.uu.nl/bitstream/handle/1874/422462/TSG17_Bos.pdf?sequence=1

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. https://doi.org/10.1016/j.jmathb.2020.100773
https://dspace.library.uu.nl/bitstream/handle/1874/408437/1_s2.0_S0732312320300377_main.pdf?sequence=1

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.
https://dspace.library.uu.nl/bitstream/handle/1874/409313/Vastgelopen_Je_kunt_de_boom_in.pdf?sequence=1
Alberto, R. A., & Bos, R. D. (2020). Embodied cognition in wiskundeonderwijs. Euclides, 95(5), 4-6.
https://dspace.library.uu.nl/bitstream/handle/1874/408050/Embodied_cognition_in_wiskundeonderwijs.pdf?sequence=1
Bos, R. D. (2020). Warme worm op de wiskunde B-dag. Euclides, 95(4), 8-11.
https://dspace.library.uu.nl/bitstream/handle/1874/407954/Warme_worm_op_de_wiskunde_b_dag.pdf?sequence=1

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. https://doi.org/10.1007/s10763-019-09995-y
https://dspace.library.uu.nl/bitstream/handle/1874/381274/Doorman2019_Article_MakingAndImplementingAMathemat.pdf?sequence=1

Professional publications

Bos, R. D. (2019). Onderzoekend wiskunde leren. Euclides, 95(2), 26-29.
https://dspace.library.uu.nl/bitstream/handle/1874/407731/Onderzoekend_wiskunde_leren.pdf?sequence=1
Bos, R. D. (2019). Onconventioneel differentiëren. Euclides, 94(4), 26-28.
https://dspace.library.uu.nl/bitstream/handle/1874/407640/Onconventioneel_differentieren.pdf?sequence=1

2018

Professional publications

Bos, R. D. (2018). Meetkundige kijk op modulorekenen: Impressie van de wiskunde B-dag-opdracht 2017. Euclides, 94(1), 39-42.
https://dspace.library.uu.nl/bitstream/handle/1874/407505/Meetkundige_kijk_op_modulorekenen.pdf?sequence=1
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)
https://dspace.library.uu.nl/bitstream/handle/1874/357309/Supporting.pdf?sequence=1

Professional publications

Bos, R. D. (2017). Het FIzier gericht op... Dobble. Euclides, 93(3), 36-38.
https://dspace.library.uu.nl/bitstream/handle/1874/407448/Het_fizier_gericht_op_Dobble.pdf?sequence=1
Bos, R. D., & Tak, S. W. (2017). Creatief 'driedee': muqarnas. Euclides, 93(3), 4-7.
https://dspace.library.uu.nl/bitstream/handle/1874/407447/Creatief_driedee_muquarnas.pdf?sequence=1
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) https://dspace.library.uu.nl/handle/1874/356063
https://dspace.library.uu.nl/bitstream/handle/1874/357308/Realistic.pdf?sequence=1

2015

Professional publications

Tak, S. W., Bos, R. D., & Kleijer, C. C. (2015). Het FIzier gericht op... open problemen. Euclides, 91(1), 26-27.
https://dspace.library.uu.nl/bitstream/handle/1874/370769/tak.pdf?sequence=1

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