Publications

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Selected publications are shown below. A fuller bibliography can be expanded for readers who want the complete academic list.

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Selected Publications​

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• Noah-Sella, L., Dreyfus, T., & Kouropatov, A. (2026). Using a conflict-inducing task to investigate connections and compartmentalization between implications of integral. International Journal of Research in Undergraduate Mathematics Education. https://doi.org/10.1007/s40753-026-00303-y

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• Falach, G., Kouropatov, A., & Dreyfus, T. (2025). Accumulative thinking as an intuitive base for the concept of integral. Annales de Didactique et de Sciences Cognitives, théma - International Journal of Mathematics Education, 4, 17-46. https://doi.org/10.4000/157ij

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• Ovodenko, R., & Kouropatov, A. (2025). Cognitive obstacles in engineering students' mathematical modelling of derivatives: Insights from Skippy, Switcher, and Floater. Education Sciences, 15(11), 1485. https://doi.org/10.3390/educsci15111485

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• Levin, T., & Kouropatov, A. (2024). The effect of social dynamics in a group on mathematics learning processes. Maagaley Chinuch, 13. [Hebrew].

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• Elias, D., Kouropatov, A., Noah-Sella, L., & Shemesh, Y. (2024). Building accumulative thinking in a non-mathematical context: filling a pool. Alon le Morei Mathematika. [Hebrew].

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• Klemer, A., Segal, R., Miedijensky, S., Herscu-Kluska, R., & Kouropatov, A. (2023). Changes in the attitudes of mathematics and science teachers toward the integration and use of computerized technological tools as a result of the COVID-19 pandemic. Eurasia Journal of Mathematics, Science and Technology Education, 19(7), em2295. https://doi.org/10.29333/ejmste/13306

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• Bos, R., Kouropatov, A., & Swidan, O. (2022). Tools to support meaning-making in calculus and pre-calculus education: editorial. Teaching Mathematics and its Applications, 41(2), 87-91. https://doi.org/10.1093/teamat/hrac008

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• Kouropatov, A., & Ovodenko, R. (2022). The explorative digital tool as a pathway to meaning: the case of the inflection point. Teaching Mathematics and Its Applications, 41(2), 142-166.

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• Dreyfus, T., Kouropatov, A., & Ron, G. (2021). Research as a resource in a high-school calculus curriculum. ZDM - The International Journal of Mathematics Education, 53(3), 679-693. https://doi.org/10.1007/s11858-021-01236-3

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• Kouropatov, A., & Dreyfus, T. (2014). Learning the integral concept by constructing knowledge about accumulation. ZDM - The International Journal of Mathematics Education, 46(4), 533-548. https://doi.org/10.1007/s11858-014-0571-5

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• Kouropatov, A., & Dreyfus, T. (2013). Constructing the integral concept on the basis of the idea of accumulation: suggestion for a high school curriculum. International Journal of Mathematical Education in Science and Technology, 44(5), 641-651. https://doi.org/10.1080/0020739X.2013.798875

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• Slobodsky, P., Kouropatov, A., Durcheva, M., & Vinitsky, L. (2026). When students can ask ChatGPT: Designing AI-resilient e-exams. Education Sciences. [Submitted].

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Full Publications List

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Dissertation​

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• Kouropatov, A. (2016). The integral concept in high school: Constructing knowledge about accumulation. Tel Aviv University. Supervisor: Prof. Tommy Dreyfus.

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Authored Books and Textbooks​

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• Kouropatov, A. (2019). Mathematics: 4 units, second questionnaire: Preparation and practice for the matriculation exam. Reches Educational Projects.

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• Kouropatov, A. (2018). Mathematics 805: Preparation and practice for the matriculation exam - Questionnaire 35482. Reches Educational Projects.

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• Kouropatov, A. (2017). Focus in mathematics 2017: New examination program according to the updated exam structure - Questionnaire 35805. Reches Educational Projects.

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• Kouropatov, A. (2014). Focus in mathematics: New examination program - Questionnaire 35805. Reches Educational Projects.

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• Kouropatov, A. (2013). Practice for summer matriculation for high school. Reches Educational Projects.

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• Kouropatov, A., Komemi, O., & Shahar, N. (2026). The geometry of the plane for teaching purposes - a basic course. Levinsky-Wingate Academic College. [Under development].

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• Textbooks for school mathematics for elementary grades V-VI. Time To Know, Tel Aviv, 2009-2012. Member of the development team of two books.

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• Textbooks for school mathematics for elementary grades I-VI and secondary grades VII-IX. Center for Educational Technology, Tel Aviv, 2005-2009. Member of the development team of 12 series of books.

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Articles in Refereed Journals​

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• Noah-Sella, L., Dreyfus, T., & Kouropatov, A. (2026). Using a conflict-inducing task to investigate connections and compartmentalization between implications of integral. International Journal of Research in Undergraduate Mathematics Education. https://doi.org/10.1007/s40753-026-00303-y

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• Falach, G., Kouropatov, A., & Dreyfus, T. (2025). Accumulative thinking as an intuitive base for the concept of integral. Annales de Didactique et de Sciences Cognitives, théma - International Journal of Mathematics Education, 4, 17-46. https://doi.org/10.4000/157ij

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• Ovodenko, R., & Kouropatov, A. (2025). Cognitive obstacles in engineering students' mathematical modelling of derivatives: Insights from Skippy, Switcher, and Floater. Education Sciences, 15(11), 1485. https://doi.org/10.3390/educsci15111485

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• Levin, T., & Kouropatov, A. (2024). The effect of social dynamics in a group on mathematics learning processes. Maagaley Chinuch, 13. [Hebrew].

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• Elias, D., Kouropatov, A., Noah-Sella, L., & Shemesh, Y. (2024). Building accumulative thinking in a non-mathematical context: filling a pool. Alon le Morei Mathematika. [Hebrew].

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• Klemer, A., Segal, R., Miedijensky, S., Herscu-Kluska, R., & Kouropatov, A. (2023). Changes in the attitudes of mathematics and science teachers toward the integration and use of computerized technological tools as a result of the COVID-19 pandemic. Eurasia Journal of Mathematics, Science and Technology Education, 19(7), em2295. https://doi.org/10.29333/ejmste/13306

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• Bos, R., Kouropatov, A., & Swidan, O. (2022). Tools to support meaning-making in calculus and pre-calculus education: editorial. Teaching Mathematics and its Applications, 41(2), 87-91. https://doi.org/10.1093/teamat/hrac008

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• Kouropatov, A., & Ovodenko, R. (2022). The explorative digital tool as a pathway to meaning: the case of the inflection point. Teaching Mathematics and Its Applications, 41(2), 142-166.

​

• Dreyfus, T., Kouropatov, A., & Ron, G. (2021). Research as a resource in a high-school calculus curriculum. ZDM - The International Journal of Mathematics Education, 53(3), 679-693. https://doi.org/10.1007/s11858-021-01236-3

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• Ovodenko, R., & Kouropatov, A. (2019). The use of digital tools to confront errors during Advanced Calculus learning: The case of the inflection point. Mathematics in Computer Science, 13(1), 217-236. https://doi.org/10.1007/s11786-018-0365-1

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• Yizhak, M., & Kouropatov, A. (2018). Palindrome: A challenge for fourth graders and for mathematics professors. Mispar Hazak 2000, 29, 48-54. [Hebrew].

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• Kouropatov, A., & Dreyfus, T. (2014). Learning the integral concept by constructing knowledge about accumulation. ZDM - The International Journal of Mathematics Education, 46(4), 533-548. https://doi.org/10.1007/s11858-014-0571-5

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• Kouropatov, A., & Dreyfus, T. (2013). Constructing the integral concept on the basis of the idea of accumulation: suggestion for a high school curriculum. International Journal of Mathematical Education in Science and Technology, 44(5), 641-651. https://doi.org/10.1080/0020739X.2013.798875

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Accepted / Submitted Articles

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• Copperman, K., Kouropatov, A., & Kidron, I. (2026). Intuition and abstraction in context: How students construct knowledge through analogical models in systems of equations. International Journal on Research in Undergraduate Mathematics Education. [Submitted].
   

• Slobodsky, P., Kouropatov, A., Durcheva, M., & Vinitsky, L. (2026). When students can ask ChatGPT: Designing AI-resilient e-exams. Education Sciences. [Submitted].

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Articles or Chapters in Scientific Books

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• Copperman, K., Kouropatov, A., & Kidron, I. (2024). Analogical models, intuition, and knowledge construction: The case of a system of algebraic equations. In J. Morska & A. Rogerson (Eds.), Third Symposium Proceedings: New Ways of Teaching and Learning (pp. 80-86).

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Published Articles in Refereed Conference Proceedings

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• Slobodsky, P., Durcheva, M., Kouropatov, A., & Vinitsky, L. (2026). When students can ask ChatGPT: Designing cheat-resistant mathematics e-exams. Proceedings of ICMET 2026.

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• Dreyfus, T., Benjamini, G., Falach, G., & Kouropatov, A. (2026). Introducing mathematical concepts in everyday or STEM contexts. Proceedings of the University of Würzburg ScopeMath Conference.

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• Luz, Y., Nagari Haddif, G., Kouropatov, A., & Cohen, D. (2025). Prospective mathematics teachers' perceptions on collaborative lesson study. Proceedings of PME 48.

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• Falach, G., Kouropatov, A., & Dreyfus, T. (2025). An unexpected construct toward the Fundamental Theorem. Proceedings of the Third Calculus Conference.

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• Dreyfus, T., & Kouropatov, A. (2025). Chemistry contexts for introducing derivative and integral. Proceedings of the Third Calculus Conference.

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• Branchetti, L., Kouropatov, A., Borji, V., Radmehr, F., & Peters, Y. (2025). An introduction to TWG25: The Teaching and Learning of Calculus. Proceedings of CERME14.

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• Abed, A., Ayalon, M., & Kouropatov, A. (2025). Comparing two teachers' teaching approaches to the derivative concept with respect to mathematical worldviews. Proceedings of CERME14.

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• Lax, I., Elias, D., Dreyfus, T., & Kouropatov, A. (2025). Contexts for accumulation - seeing the continuity of the accumulation process. Proceedings of CERME14.

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• Noah-Sella, L., Dreyfus, T., & Kouropatov, A. (2025). Implications of integral and their compartmentalization: a case study. Proceedings of CERME14.

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• Copperman, K., Kouropatov, A., & Kidron, I. (2025). Emergence and manifestations of the analogy between symbolic and intuitive models. Proceedings of CERME14.

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• Elias, D., Dreyfus, T., & Kouropatov, A. (2025). Characteristics of extra-mathematical contexts for introducing derivative as rate of change. Proceedings of CERME14.

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• Klemer, A., Segal, R., Miedijensky, S., Herscu-Kluska, R., & Kouropatov, A. (2024). Teachers' attitudes towards technology during emergency remote learning. Proceedings of CERME13.

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• Dreyfus, T., Elias, D., Kouropatov, A., & Noah-Sella, L. (2024). Can one integrate by adding up lines? Proceedings of CERME13.

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• Copperman, K., Kouropatov, A., & Kidron, I. (2024). Analogical models, intuition and knowledge construction: The case of a system of algebraic equations. Proceedings of the 16th International Symposium of the Mathematics Education for the Future Project.

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• Kouropatov, A., Noah-Sella, L., Dreyfus, T., & Elias, D. (2024). Quantitative reasoning and the collapse metaphor: should AUP meet AR. Proceedings of ICME 15.

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• Kouropatov, A., Noah-Sella, L., Dreyfus, T., & Elias, D. (2024). Students' meanings for the integral concepts. Proceedings of PME 47.

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• Dreyfus, T., Elias, D., Kouropatov, A., Lax, I., & Noah-Sella, L. (2024). The complexity of mixed-methods research: case study of a project on students' meanings for the fundamental concepts of calculus. Proceedings of INDRUM 2024.