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Dr. Anatoli Kouropatov

Senior Lecturer in Mathematics Education at the Levinsky-Wingate Academic College

Dr. Kouropatov is a mathematics educator and researcher whose work focuses on calculus learning, mathematical meaning-making, accumulation, rate of change, digital tools, AI in mathematics teaching, and teacher education.

This site brings together selected research projects, publications, teaching resources, and tools for educators, researchers, and students interested in mathematics education.

About Anatoli

Current roles

2025-present

Head of the M.Ed. Program in Mathematics EducationLevinsky-Wingate Academic College

2024-present

Co-Head of the Department of Mathematics
Levinsky-Wingate Academic College

2020-present

Senior Lecturer, Mathematics and Mathematics Education
Levinsky-Wingate Academic College

Education

2006-2016

PhD in Mathematics Education
Tel Aviv University
Dissertation: The Integral Concept in High School: Constructing Knowledge about Accumulation
Supervisor: Prof. Tommy Dreyfus

2003-2006

MA with Honors in Mathematics Education
Tel Aviv University

1982-1989

BA with Honors in Mathematics and Mathematics Education
Moscow State Pedagogical Institute

Academic Experience

2017-2020

Adviser, Mathematics Education
Afeka College, Center for Promoting Teaching

2012-2020

Lecturer, Mathematics and Mathematics Education
Levinsky College of Education

2014-2015

Lecturer, Mathematics and Mathematics Education
Seminar Kibbutzim

2012-2014

Lecturer, Mathematics and Mathematics Education
David Yellin College

1989-1997

Mathematics Teacher
Secondary and high school, USSR / Russian Federation

Research

Dr. Kouropatov's research focuses on how students and teachers construct mathematical meaning, especially in calculus, accumulation, rate of change, digital environments, AI-era assessment, geometry education, and teacher education.

Research Themes

  • Calculus education: integral, derivative, accumulation, and rate of change

  • Mathematical meaning-making and knowledge construction

  • Digital tools in mathematics education

  • AI in mathematics teaching, learning, and assessment

  • Geometry education, including FullProof and special education contexts

  • Teacher education and lesson study

Selected Research Projects

2024-2028

Funded by ISF

Role: PI

Co-researcher:

Prof. Tommy Dreyfus

Construction of productive meanings for the fundamental concepts of calculus in high school classrooms

2026

Ministry of Education / PRISMARole: PI

Co-researchers: Karen Ettinger and Maya Sternberg

תובנ"ה - Planning, teaching, AI, analysis, assessment, and seminar work in the AI era

2024-2027

Levinsky-Wingate Academic College President FoundationRole: Co-PI

Co-researcher:

Dr. Meirav Rozen

Learning processes in deductive geometry using the FULLPROOF interactive digital platform among students with special needs disabilities

2025-2027

Levinsky-Wingate Academic College President FoundationRole: Co-PI

Co-researcher: Dr. Dorit Cohen

Plane geometry for teacher college students

2024-2026

Shenkar College FoundationRole: PI

Co-researcher:

Dr. Regina Ovodenko

Solving application problems involving derivatives among industrial engineering and management students: challenges and obstacles

2019-2024

Funded by ISF 

Role: Co-PI

Co-researcher:

Prof. Tommy Dreyfus

Meanings for Fundamental Calculus Concepts in High School

2017-2020

PRAQTAL: Practices for Quality Teaching

Funded by Trump Foundation

Role: Co-PI

Co-researchers: Dr. Einat Gil,

Dr. Yael Kashtan, Dr. Yishay Mor, Dr. Roni Mualem, Dr. Talli Nachlieli

Publications

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

Selected Publications

1. Noah-Sella, L., Kouropatov, A., & Dreyfus, T. (2026). Using a conflict-inducing task to investigate connections and compartmentalization between implications of integral. International Journal on Research in Undergraduate Mathematics Education.

2. 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

3. 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

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

5. 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].

6. 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

7. 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

8. 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.

9. 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

10. 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

11. 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

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

[ Full publication list ]

Full Publication List

A. Dissertation
1. Kouropatov, A. (2016). The Integral Concept in High School: Constructing Knowledge about Accumulation. Tel Aviv University. Supervisors: Prof. Tommy Dreyfus.

B. Authored Books and Textbooks
1. Kouropatov, A. (2019). Mathematics: 4 units, second questionnaire: Preparation and practice for the matriculation exam. Reches Educational Projects.
2. Kouropatov, A. (2018). Mathematics 805: Preparation and practice for the matriculation exam - Questionnaire 35482. Reches Educational Projects.
3. Kouropatov, A. (2017). Focus in mathematics 2017: New examination program according to the updated exam structure - Questionnaire 35805. Reches Educational Projects.
4. Kouropatov, A. (2014). Focus in mathematics: New examination program - Questionnaire 35805. Reches Educational Projects.
5. Kouropatov, A. (2013). Practice for summer matriculation for high school. Reches Educational Projects.
6. Kouropatov, A., Komemi, O., & Shahar, N. (2026). The geometry of the plane for teaching purposes - a basic course. Levinsky-Wingate Academic College. [Under development].
7. Textbooks for school mathematics for elementary grades V-VI. Time To Know, Tel Aviv, 2009-2012. Member of the development team of 2 books.
8. 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.

C. Articles in Refereed Journals
1. Noah-Sella, L., Kouropatov, A., & Dreyfus, T. (2026). Using a conflict-inducing task to investigate connections and compartmentalization between implications of integral. International Journal on Research in Undergraduate Mathematics Education.
2. 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
3. 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
4. Levin, T., & Kouropatov, A. (2024). The effect of social dynamics in a group on mathematics learning processes. Maagaley Chinuch, 13. [Hebrew].
5. 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].
6. 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
7. 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
8. 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.
9. 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
10. 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
11. Yizhak, M., & Kouropatov, A. (2018). Palindrome: A challenge for fourth graders and for mathematics professors. Mispar Hazak 2000, 29, 48-54. [Hebrew].
12. 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
13. 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

D. Accepted / Submitted Articles
1. 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].
2. Slobodsky, P., Kouropatov, A., Durcheva, M., & Vinitsky, L. (2026). When students can ask ChatGPT: Designing AI-resilient e-exams. Education Sciences. [Submitted].

E. Articles or Chapters in Scientific Books
1. 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).

F. Published Articles in Refereed Conference Proceedings
1. Slobodsky, P., Durcheva, M., Kouropatov, A., & Vinitsky, L. (2026). When students can ask ChatGPT: Designing cheat-resistant mathematics e-exams. Proceedings of ICMET 2026.
2. 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.
3. Luz, Y., Nagari Haddif, G., Kouropatov, A., & Cohen, D. (2025). Prospective mathematics teachers' perceptions on collaborative lesson study. Proceedings of PME 48.
4. Falach, G., Kouropatov, A., & Dreyfus, T. (2025). An unexpected construct toward the Fundamental Theorem. Proceedings of the Third Calculus Conference.
5. Dreyfus, T., & Kouropatov, A. (2025). Chemistry contexts for introducing derivative and integral. Proceedings of the Third Calculus Conference.
6. Branchetti, L., Kouropatov, A., Borji, V., Radmehr, F., & Peters, Y. (2025). An introduction to TWG25: The Teaching and Learning of Calculus. Proceedings of CERME14.
7. Abed, A., Ayalon, M., & Kouropatov, A. (2025). Comparing two teachers' teaching approaches to the derivative concept with respect to mathematical worldviews. Proceedings of CERME14.
8. Lax, I., Elias, D., Dreyfus, T., & Kouropatov, A. (2025). Contexts for accumulation - seeing the continuity of the accumulation process. Proceedings of CERME14.
9. Noah-Sella, L., Dreyfus, T., & Kouropatov, A. (2025). Implications of integral and their compartmentalization: a case study. Proceedings of CERME14.
10. Copperman, K., Kouropatov, A., & Kidron, I. (2025). Emergence and Manifestations of the Analogy Between Symbolic and Intuitive Models. Proceedings of CERME14.
11. Elias, D., Dreyfus, T., & Kouropatov, A. (2025). Characteristics of extra-mathematical contexts for introducing derivative as rate of change. Proceedings of CERME14.
12. Klemer, A., Segal, R., Miedijensky, S., Herscu-Kluska, R., & Kouropatov, A. (2024). Teachers' attitudes towards technology during emergency remote learning. Proceedings of CERME13.
13. Dreyfus, T., Elias, D., Kouropatov, A., & Noah-Sella, L. (2024). Can one integrate by adding up lines? Proceedings of CERME13.
14. 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.
15. Kouropatov, A., Noah-Sella, L., Dreyfus, T., & Elias, D. (2024). Quantitative reasoning and the collapse metaphor: should AUP meet AR. Proceedings of ICME 15.
16. Kouropatov, A., Noah-Sella, L., Dreyfus, T., & Elias, D. (2024). Students' meanings for the integral concepts. Proceedings of PME 47.
17. 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.

 

Teaching & Resources

This section gathers teaching-related work, supervision areas, instructional materials, academic service, and professional contributions connected to mathematics education.

Teaching and Supervision

- Productive meaning for integral and the Fundamental Theorem of Calculus
- Productive meaning for derivative
- Productive meaning for function
- Teaching concepts in analysis, including derivatives and integrals
- Extra-mathematical contexts in constructing mathematical knowledge
- Mathematics lesson planning, professional development, and motivation
- Math anxiety intervention in school mathematics
- M.Ed. projects in mathematics education at Levinsky-Wingate Academic College

Books and Instructional Materials

- Mathematics matriculation preparation books published by Reches Educational Projects.
- The geometry of the plane for teaching purposes - a basic course, with Orel Komemi and N. Shahar, under development at Levinsky-Wingate Academic College.
- Development work on school mathematics textbooks with Time To Know.
- Development work on school mathematics textbooks with the Center for Educational Technology.

Academic Service

- Guest editor, Digital Experience in Mathematics Education, special issue on generative AI in mathematics teaching and learning.
- Editorial Board member, International Journal of Research in Undergraduate Mathematics Education.
- Co-leader, Theme Working Group on Learning and Teaching Calculus at secondary level, CERME14.
- Program committee member for mathematics education and mathematics/science/technology education conferences.

Awards and Professional Memberships

- Outstanding Lecturer, Levinsky College for Education, 2015-2019.
- Excellence Scholarship, Tel Aviv University School of Education, 2003-2005.
- Israel Chamber of Information Technologies
- Eastern Eurasian Association for Educational Assessment (EAOKO)
- Association for Teacher Education in Europe (ATEE)
- International Group for the Psychology of Mathematics Education (IGPME)
- European Research in Mathematics Education (ERME)

 

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