Dr. A.Y. (Anna) Shvarts

Buys Ballotgebouw
Princetonplein 5
3584 CC Utrecht

Dr. A.Y. (Anna) Shvarts

Universitair docent
Mathematics Education
a.y.shvarts@uu.nl

Publicaties

2025

Wetenschappelijke publicaties

Shvarts, A. (2025). From Movement to Mathematics: A Systemic Theory of Higher Order Cognition and Its Development. Human Development, 69, 302-327. [DOI] [Repository]
Boonstra, K., Kool, M., Shvarts, A., & Drijvers, P. (2025). Primary school teachers’ practices for fostering embodied abstraction in geometry. Journal of Mathematics Teacher Education. Advance online publication. [DOI]
Schindler, M., Shvarts, A., & Lilienthal, A. J. (2025). Introduction to eye tracking in mathematics education: interpretation, potential, and challenges. Educational Studies in Mathematics, 118, 309-321. [DOI] [Repository]
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. [DOI] [Repository]
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]
Chumachenko, D., Shvarts, A., Dreneva, A., & Krichevets, A. (2025). Eye movements in the development of geometric shape recognition: from sensory-motor processes to theoretical perception. Educational Studies in Mathematics, 118, 529-554. [DOI] [Repository]

2024

Wetenschappelijke publicaties

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. [DOI] [Repository]

2023

Wetenschappelijke publicaties

Boels, L., Alberto, R., & Shvarts, A. (2023). Actions behind mathematical concepts: A logical-historical analysis. Paper presented at 13th congress of the European society for research in mathematics education, Budapest, Hungary. https://hal.science/hal-04420753
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]
Boels, L., & Shvarts, A. (2023). Introducing Density Histograms to Grades 10 and 12 Students: Design and Tryout of an Intervention Inspired by Embodied Instrumentation. In G. F. Burrill, L. de Oliveria Souza, & E. Reston (Eds.), Research on Reasoning with Data and Statistical Thinking: International Perspectives (pp. 143-167). Springer. [DOI] [Repository]
Shvarts, A., Zenger, L., Ayalon, M. (Ed.), Koichu, B. (Ed.), Leikin, R. (Ed.), Rubel, L. (Ed.), & Tabach, M. (Ed.) (2023). Dynamic visualization and embodied design for trigonometry learning: Looking or doing? Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, Vol 4. 203-210. [Portal]
van Helden, G., Zandbergen, B. T. C., Shvarts, A. Y., Specht, M. M., & Gill, E. K. A. (2023). An Embodied Cognition Approach To Collaborative Engineering Design Activities: Proceedings of the 51st Annual Conference of the European Society for Engineering Education (SEFI). 2991-3002. [DOI] [Repository]
Shvarts, A., & Abrahamson, D. (2023). Coordination Dynamics of Semiotic Mediation: A Functional Dynamic Systems Perspective on Mathematics Teaching/Learning. Constructivist Foundations, 18(2), 220-234. https://constructivist.info/18/2/220.shvarts
Shvarts, A., & Abrahamson, D. (2023). Authors’ Response: From 20th-Century Dialectics and Deconstruction to 21st-Century Transformative Monism. Constructivist Foundations, 18(2), 253-258. https://constructivist.info/18/2/253.shvarts
Palatnik, A., Abrahamson, D., Baccaglini-Frank, A., Ng, O., Shvarts, A., Swidan, O., & Tabach, M. (Ed.) (2023). Theory and practice of designing embodied mathematics learning: Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, Vol. 1. 159-189. [Repository]
Shvarts, A., & Zenger, L. (2023). Dynamic visualization and embodied design for trigonometry learning: looking or doing? In M. Ayalon, B. Koichu, R. Leikin, L. Rubel, & M. Tabach (Eds.), Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 203-210). International Group for the Psychology of Mathematics Education. https://www.igpme.org/publications/current-proceedings/
Boonstra, K., Kool, M., Shvarts, A., & Drijvers, P. (2023). Theories and practical perspectives on fostering embodied abstraction in primary school geometry education. Frontiers in Education, 8, 1-13. Article 1162681. [DOI] [Repository]
Shvarts, A., & van Helden, G. (2023). Embodied learning at a distance: From sensory-motor experience to constructing and understanding a sine graph. Mathematical Thinking and Learning, 25(4), 409-437. [DOI] [Repository]

Vakpublicaties

Wijers, M., Jonker, V., Doorman, L. M., & Shvarts, A. (2023). Het FIzier gericht op... Ensite. Euclides, 98(4).

2022

Wetenschappelijke publicaties

Krause, C., Shvarts, A., Fernández, C. (Ed.), Llinares, S. (Ed.), Gutiérrez, A. (Ed.), & Planas, N. (Ed.) (2022). An embodied perspective on diversity in mathematics education: Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education. 209-210. [Repository]
Flood, V. J., Shvarts, A., & Abrahamson, D. (2022). Responsive Teaching for Embodied Learning with Technology. In Movement Matters (pp. 179-196). The MIT Press. [DOI] [Repository]
Shvarts, A., Doorman, M., & Alberto, R. (2022). Concrete–abstract–new-concrete: Freudenthal and Davydov in advancing embodied design framework: Twelfth Congress of the European Society for Research in Mathematics Education (CERME 12). 3024-3031. https://hal.science/hal-03749358/document [Repository]
Alberto, R., Shvarts, A., Drijvers, P., & Bakker, A. (2022). Action-based embodied design for mathematics learning: A decade of variations on a theme. International Journal of Child-Computer Interaction, 32, 1-23. Article 100419. [DOI] [Repository]
Shvarts, A. (2022). Book Review: Transforming mathematics education: from embodied experiences to an ethical commitment. Luis Radford (2021) The theory of objectification: a Vygotskian perspective on knowing and becoming in mathematics teaching and learning. Educational Studies in Mathematics, 109(3), 677-686. [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]

Vakpublicaties

Shvarts, A. (2022). Leer wiskunde zoals je leert fietsen: Een embodied benadering van onderwijstechnologieën. Euclides, 97(5), 48-52. [Repository]

2021

Wetenschappelijke publicaties

Shvarts, A., & Stepanov, A. (2021). Multimodal joint attention to mathematical objects through a dual eye-tracking lens: looking, talking, and gesturing together. Abstract from EARLI 2021, Gothenburg, Sweden.
Shvarts, A., & van Helden, G. (2021). Embodied design versus dynamic visualization: Benefits for a far transfer problem solving in trigonometry. In E. de Vries, Y. Hod, & J. Ahn (Eds.), Proceedings of the 15th International Conference of the Learning Sciences - ICLS 2021. (pp. 717-720). International Society of the Learning Sciences. [DOI] [Repository]
Johnson, H. L., Shvarts, A., & Smith, A. (2021). A joint embodied and simulation design for graphing: coordinating distances that change together. Paper presented at 14th International Congress on Mathematical Education, Shanghai, China.
Shvarts, A., & Bakker, A. (2021). Vertical analysis as a strategy of theoretical work: from philosophical roots to instrumental and embodied branches. Paper presented at 14th International Congress on Mathematical Education, Shanghai, China.
Dreneva, A., Shvarts, A., Chumachenko, D., & Krichevets, A. (2021). Extrafoveal Processing in Categorical Search for Geometric Shapes: General Tendencies and Individual Variations. Cognitive Science, 45(8), 1-33. Article e13025. [DOI] [Repository]
Shvarts, A., Alberto, R., Bakker, A., Doorman, M., & Drijvers, P. (2021). Embodied instrumentation in learning mathematics as the genesis of a body-artifact functional system. Educational Studies in Mathematics, 107(3), 447-469. [DOI] [Repository]

2020

Wetenschappelijke publicaties

Flood, V., Shvarts, A. Y., & Abrahamson, D. (2020). Teaching with embodied learning technologies for mathematics: responsive teaching for embodied learning. ZDM - International Journal on Mathematics Education, 52, 1307-1331. [DOI] [Repository]
Shvarts, A. Y., & Alberto, R. A. (2020). Melting cultural artifacts back to personal actions: embodied design for a sine graph. In M. Inprasitha, N. Changsri, & N. Boonsena (Eds.), Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education (Vol. Interm, pp. 528-536). PME.
Shvarts, A. Y., Alberto, R. A., Bakker, A., Doorman, L. M., & Drijvers, P. H. M. (2020). Embodied instrumentation: Reification of sensorimotor activity into a mathematical artifact. In Proceedings of the 14th International Conference on Technology in Mathematics Teaching – ICTMT 14: Essen, Germany, 22nd to 25th of July 2019 Universität Duisburg-Essen. [DOI] [Repository]

2019

Wetenschappelijke publicaties

Shvarts, A. Y. (2019). Theory, methodology and design as an insightful bundle: a case of dual eye-tracking student-tutor collaboration on an embodied mathematical task . 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 (pp. 3104-3105). Freudenthal Group & Freudenthal Institute, Utrecht University and ERME. https://www.mathematik.uni-dortmund.de/~erme/index.php?slab=proceedings
Bakker, A., Shvarts, A. Y., & Abrahamson, D. (2019). Generativity in design research: the case of developing a genre of action-based mathematics learning activities. 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 (pp. 3096-3103). Freudenthal Group & Freudenthal Institute, Utrecht University and ERME. https://www.mathematik.uni-dortmund.de/~erme/index.php?slab=proceedings [Repository]
Shvarts, A. Y., Alberto, R. A., Bakker, A., Doorman, L. M., & Drijvers, P. H. M. (2019). Embodied collaboration to foster instrumental genesis in mathematics. In A Wide Lens: combining embodied, enactive, extended, and embedded learning in collaborative settings: 13th International Conference on Computer Supported Collaborative Learning (CSCL 2019) (Vol. 2, pp. 660-663). [Repository]
Shvarts, A. Y. (2019). Взаимодействует ли реальная форма с идеальной? Исследование овладения счетом на числовой прямой с помощью записи движений глаз. Psychology, Journal of the Higher School of Economics, 16(1), 145-163. [DOI] [Repository]
Shvarts, A. Y., & Abrahamson, D. (2019). Dual-eye-tracking Vygotsky: A microgenetic account of a teaching/learning collaboration in an embodied-interaction technological tutorial for mathematics. Learning, Culture and Social Interaction, 22, Article 100316. [DOI]
Csíkos, C., András, S., Rausch, A., & Shvarts, A. Y. (2019). Mathematics learning and its difficulties in Eastern European countries. In A. Fritz, V. G. Haase, & P. Räsänen (Eds.), International handbook of mathematical learning difficulties: from the laboratory to the classroom (pp. 145-163). Springer Nature. [DOI] [Repository]
Drenyeva, A., Krichevets, A., Chumachenko, D., & Shvarts, A. Y. (2019). Экстрафовеальный анализ категориально заданных трехмерных фигур. Siberian Journal of Psychology, 72, 68-92. [DOI] [Repository]
Shvarts, A., & Bakker, A. (2019). The early history of the scaffolding metaphor: Bernstein, Luria, Vygotsky, and before. Mind, Culture, and Activity, 26(1), 4-23. [DOI] [Repository]

2018

Wetenschappelijke publicaties

Shvarts, A. Y., Andrey Stepanov, & Dmitry Chumachenko (2018). Automatic detection of gaze convergence in multimodal collaboration: a dual eye-tracking technology. Rossijskij žurnal kognitivnoj nauki, 5(3), 4-17. http://cogjournal.org/5/3/pdf/ShvartsStepanovChumachenkoRJCS2018.pdf [Repository]