**Peer reviewed papers in professional journals**

1. Sivers, V., & Koichu, B. (1993). Robustness’ extension of the rule for testing statistical hypotheses. Automation, 1, 22-37 (in Russian).

2. Koichu, B. (1993). Modeling in high school mathematics. Conspectus, 1, 46-56 (in Ukrainian).

3. Koichu, B., & Berman, A. (2004). 3-D dynamic geometry: Ceva's theorem in space. International Journal of Computers for Mathematics Learning, 9(1), 95-108.

4. Koichu, B., Berman. A., & Moore, M. (2004). Promotion heuristic literacy in a regular mathematics classroom. For the Learning of Mathematics, 24(1), 33-39.

5. Berman, A., Goldberg, F., & Koichu, B. (2005). ‘Good research’ conducted by talented high school students: The case of SciTech. The Gifted Education International, 20(2), 220-228.

6. Koichu, B., & Berman, A. (2005). When do gifted high school students use geometry to solve geometry problems? The Journal of Secondary Gifted Education, 16(4), 168-179.

7. Koichu, B., Berman, A., & Moore, M. (2007). Heuristic literacy development and its relation to mathematical achievements of middle school students. Instructional Science, 35, 99-139.

8. Koichu, B. Berman, A., & Moore, M. (2007). The effect of promoting heuristic literacy on the mathematic aptitude of middle-school students. International Journal of Mathematical Education in Science and Technology, 38(1), 1-17.

9. Koichu, B., & Harel, G. (2007). Triadic interaction in clinical task-based interviews with mathematics teachers. Educational Studies in Mathematics, 65(3), 349-365.

10. Koichu, B. (2008). If not, what yes? International Journal of Mathematical Education in Science and Technology, 39(4), 443-454.

11. Koichu, B. (2010). On the relationships between (relatively) advanced mathematical knowledge and (relatively) advanced problem solving behaviours. International Journal of Mathematical Education in Science and Technology, 41(2), 257-275.

12. Andžāns, A., Berman, A., & Koichu, B. (2010). Mathematical competitions and creativity: The cases of Latvia and Israel. Mediterranean Journal for Research in Mathematics Education, 9(2), 107-117.

13. Koichu, B., & Orey, D. (2010). Creativity or ignorance: Inquiry in calculation strategies of mathematically disadvantaged (immigrant) high school students. Mediterranean Journal for Research in Mathematics Education, 9(2), 75-92.

14. Harel, G., & Koichu, B. (2010). An operational definition of learning. Journal of Mathematical Behavior, 29, 115-124.

15. Koichu, B. (2011). Overcoming a pitfall of circularity in research on problem solving by mathematically gifted schoolchildren. Canadian Journal of Science, Mathematics and Technology Education, 11(1), 67-77.

16. Koichu, B. (2011). On the role of basic assumptions in the debate on the equity issue in gifted education: A commentary on the Gagné’s paper. Talent Development and Excellence, 3(1), 79-82.

17. Koichu, B. (2011). Three on-going studies on (authentic) problem posing for different educational needs. MCG Newsletter, 1, 13-16.

18. Kontorovich, I., Koichu, B., Leikin, R., & Berman, A. (2012). A framework for handling the complexity of students’ mathematical problem posing in small groups. Journal of Mathematical Behavior, 31(1), 149-161.

19. Koichu, B. (2012). Enhancing an intellectual need for defining and proving: A case of impossible objects. For the Learning of Mathematics, 32(1), 2-7.

20. Koichu, B., & Kontorovich, I. (2013). Dissecting success stories on mathematical problem posing: A case of the Billiard Task. Educational Studies in Mathematics, 83(1), 71-86.

21. Kontorovich, I. & Koichu, B. (2012). Feeling of innovation in expert problem posing. Nordic Studies in Mathematics Education, 17(3-4), 199-212.

22. Koichu, B., Harel. G., & Manaster, A. (2013). Ways of thinking associated with mathematics teachers’ problem posing in the context of division of fractions. Instructional Science, 41(4), 681-698.

23. Koichu, B., & Zazkis, R. (2013). Decoding a proof of Fermat’s Little Theorem via script writing. Journal of Mathematical Behavior, 32, 364-376.

24. Kontorovich, I., & Koichu, B. (in press). A case study of an expert problem poser for mathematics competitions. International Journal of Science and Mathematics Education.

**Book chapters**

25. Koichu, B., & Andžāns, A. (2009). Mathematical creativity and giftedness in out-of-school activities. In R. Leikin, A. Berman & B. Koichu (Eds.), Creativity in Mathematics and Education of Gifted Students (pp. 285-308). Rotterdam, Netherlands: Sense Publishers.

26. Leikin, R., Koichu, B., & Berman, A. (2009). Mathematical giftedness in terms of qualities of problem solving acts. In R. Leikin, A. Berman & B. Koichu (Eds.), Creativity in Mathematics and Education of Gifted Students (pp. 115-128). Rotterdam, Netherlands: Sense Publishers.

27. Tall, D., Yevdokimov, O., Koichu, B., Whiteley, W., Kondratieva, M., & Cheng, Y.-H. (2012). Cognitive development of proof. In M. De Villiers & G. Hanna (Eds.), Proof and proving in mathematics education (pp. 13-49). New York, NY: Springer.

28. Koichu, B. (2012). Some gold is found - much more is in the mine. A commentary on Gilah Leder’s chapter “Looking for gold: Catering for mathematically gifted students within and beyond ZDM”. In Forgasz, H. and Rivera, F. (Eds.). Toward equity: Gender, culture, and diversity (pp. 407-410). Advances in Mathematics Education series, Part 3. Dordrecht, Netherlands: Springer.

29. Koichu, B. (with contributions by Gerald Goldin, Izzie Weinzweig, Shlomo Vinner and Roza Leikin) (in press). Problem solving in mathematics and in mathematics education. In Michael N. Fried & Tommy Dreyfus (Eds.), Mathematics & Mathematics Education: Searching for Common Ground. New York: Springer, Advances in Mathematics Education series.

30. Klinstern, M., Koichu, B., & Berman, A. (accepted). What do high school teachers mean by saying “I pose my own problems”? In F. M. Singer, N. Ellerton & J. Cai (Eds.). Problem posing: From research to effective practice. Springer.

**Edited book**

Leikin, R., Berman, A., & Koichu, B. (Eds.) (2009). Creativity in Mathematics and the Education of Gifted Students. Rotterdam, Netherlands: Sense Publishers.

**Textbooks**

Balinsky, L. A., & Koichu, B. M. (1999). Geometry – 11: Workshops. Part 1. Lviv: VNTL (in Ukrainian). Textbook for students and teachers.

Balinsky, L. A., & Koichu, B. M. (1999). Geometry – 11: Workshops. Part 2. Lviv: VNTL (in Ukrainian). Textbook for students and teachers.

**Papers in peer reviewed conference proceedings **

1. Koichu, B., & Berman, A. (2002). Mathematical research work of talented high school students. In A. Andzars, and H. Meissner (Eds.), Proceedings of the 3rd International Conference "Creativity in Mathematics Education and the Education of Gifted Students", pp. 43-50, University of Latvia, Riga, Latvia.

2. Koichu, B., Berman, A., & Moore, M. (2003). Changing teachers’ beliefs about students’ heuristics in problem solving. Electronic Proceedings of the 3rd Conference of the European Society for Research in Mathematics Education. Retrieved May 8, 2005 from http://www.dm.unipi.it/~didattica/CERME3/proceedings/Groups/TG12/TG12_Koichu_cerme3.pdf

3. Koichu, B., Berman, A., & Moore, M. (2003). Very able students think aloud: An attempt at heuristic microanalysis. In Velikova, E. (Ed.), Proceedings of the 3rd International Conference "Creativity in Mathematics Education and the Education of Gifted Students", pp. 318-325. Rousse, Bulgaria: University of Rousse.

4. Koichu, B. (2006). On usefulness of unfortunate “theorems” or If not, what yes? In P. Pech, J. Hora, A. Hospelova, J. Chavalina, M. Simsa, & P. Tlusty (Eds.), Proceedings of the 4th International Conference on Creativity in Mathematics Education and the Education of Gifted Students, pp. 77-80. Ceske Budejovice, Czech Republic: University of South Bohemia.

5. Harel, G., Koichu, B., & Manaster, A. (2006). Algebra teachers’ ways of thinking characterizing the mental act of problem posing. In J. Novotna, H. Moraova, M. Kratka, & N. Stehlikova (Eds.), Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, pp. 241-248. Prague, Czech Republic: Charles University.

6. Koichu, B., Berman, A., & Moore, M. (2006). Patterns of middle school students’ heuristic behaviors in solving seemingly familiar problems. In J. Novotna, H. Moraova, M. Kratka, & N. Stehlikova (Eds.), Proceedings of the 30th Conference of the International Group for the psychology of Mathematics Education, Vol. 3, pp. 457-464, Prague, Czech Republic: Charles University.

7. Koichu, B. (2007). Issues in analysis of individual discourse concurrent with solving a mathematical problem. Electronic Proceedings of the 5th Conference of the European Society for Research in Mathematics Education, Larnaca, Cyprus. Retrieved February 14, 2007 from http://www.cyprusisland.com/cerme/Group8/GROUP%208%20_13.doc

8. Koichu, B., Katz, E., & Berman, A. (2007). What is a beautiful problem? An undergraduate students’ perspective. In J.-H. Woo, H.-C. Lew, K.-S. Park & D.-Y. Seo (Eds.), Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, pp. 113-120, Seoul, Korea.

9. Koichu, B. (2008). Research opportunities in out-of-school activities for mathematically gifted students. In R. Leikin (Ed.), Proceedings of the 5th International Conference on Creativity in Mathematics and the Education of Gifted Students, pp. 437-439, Haifa, Israel.

10. Koichu, B., & Andzans, A. (2008). Mathematical creativity and giftedness in out-of-school activities. In R. Leikin (Ed.), Proceedings of the 5th International Conference on Creativity in Mathematics and the Education of Gifted Students, pp. 415-417, Haifa, Israel.

11. Koichu, B. (2008). Theoretical framework for characterizing responses to multiple problem posing tasks. In R. Leikin, Levav-Waynberg & Appelbaum, M. (Eds.), Proceedings of the International Workshop on Multiple Solution Connecting Tasks, pp. 45-52, Haifa, Israel.

12. Koichu, B. (2008). On composing multiple-choice tasks, thought experimentation and algebra teachers' knowledge base. To appear in the Proceedings of 5th International Colloquium on the Didactics of Mathematics, the University of Crete, Rethymnon, Crete, Greece.

13. Koichu, B. (2008). On considerations of parsimony in mathematical problem solving. In O. Figueras, J.L. Cortina, S. Alatorre, T. Rojano & A. Sepulova (Eds.), Proceedings of the 32nd Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, pp. 273-280, Morelia, Mexico.

14. Abramovitz, B., Berezina, M., Koichu, B., & Schwartzman, L. (2009). Urging calculus students to be active learners: What works and what doesn't. Electronic Proceedings of the 6th Conference of the European Society for Research in Mathematics Education, Lyon, France. Retrieved August 10, 2011, from http://www.inrp.fr/publications/edition-electronique/cerme6/wg12-14-abramovich.pdf

15. Koichu, B. (2009). What can pre-service teachers learn from interviewing high school students on proof and proving? In F.-L. Lin, F.-J. Hsieh, G. Hanna & M. de Villiers (Eds.), Proceedings of the ICMI Study 19 Conference: Proof and Proving in Mathematics Education, Vol. 2, pp. 9-15, Taipei, Taiwan: National Taiwan Normal University.

16. Kontorovich, I., & Koichu, B. (2009). Towards a comprehensive framework of mathematical problem posing. In Tzekaki, M., Kaldrimidou, M. & Sakonidis, C. (Eds.), Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, pp. 401-408, Thessaloniki, Greece: PME.

17. Biton, Y., & Koichu, B. (2009). Creating conditions for diffusion of alternative assessment in pre-university mathematics education. In Tzekaki, M., Kaldrimidou, M. & Sakonidis, C. (Eds.), Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education, Vol. 2, pp. 177-185, Thessaloniki, Greece: PME.

18. Koichu, B. (2011). Exploring impossible objects: On the way from Escher to deductive proof in 3-D geometry. In M. Avotina, D. Bonka, H. Meissnera, L. Ramana, L. Sheffield, & E. Velikova (Eds.). Proceedings of the 6th International Conference on Creativity in Mathematics Education and the Education of the Gifted Students, pp. 115-120, University of Latvia, Riga, Latvia.

19. Kontorovich, I., Koichu, B., Leikin, R., & Berman, A. (2011). Indicators of creativity in mathematical problem posing: How indicative are they? In M. Avotina, D. Bonka, H. Meissnera, L. Ramana, L. Sheffield, & E. Velikova (Eds.). Proceedings of the 6th International Conference on Creativity in Mathematics Education and the Education of the Gifted Students, pp. 120-125, University of Latvia, Riga, Latvia.

20. Biton, Y., & Koichu, B. (2011). Peer assessment and mathematical creativity. In M. Avotina, D. Bonka, H. Meissnera, L. Ramana, L. Sheffield, & E. Velikova (Eds.). Proceedings of the 6th International Conference on Creativity in Mathematics Education and the Education of the Gifted Students, pp. 30-34, University of Latvia, Riga, Latvia.

21. Koichu, B. (2012). On attaining devolution in an inquiry-based activity focused on defining and proving. Presented at the International Colloquium "The didactics of mathematics: approaches and issues" in honor of Prof. Michele Artigue, Paris, France.

22. Kontorovich, I. & Koichu, B. (2012). Achieving the feeling of innovation in expert problem posing. Presented at the 17th MAVI (Mathematical Views) Conference. Helsinki: Finland.

23. Berman, A., Koichu, B., & Shvartsman, L. (2013). Understanding understanding equivalence of matrices. Presented at the 8th Conference of the European Society for Research in Mathematics Education, Antalya, Turkey.

24. Raveh, I., & Koichu, B. (2013). A reference framework for teaching the standard algorithms of the four basic arithmetic operations: From theoretical analysis to task design. Presented at the 8th Conference of the European Society for Research in Mathematics Education, Antalya, Turkey.

25. Koichu, B. (2013). Networking theories by iterative unpacking. Presented at the 8th Conference of the European Society for Research in Mathematics Education, Antalya, Turkey.

26. Koichu, B., & Zazkis, R. (2013). A dialogic method of presenting proofs: Focus on Fermat's Little Theorem. Presented at the 15th Conference of SIGMAA on RUME (Special Interest Group of MAA on Research in Undergraduate Mathematics Education), Denver, Colorado.

27. Koichu, B., Zaslavsky, O., & Dolev, L. (2013). Effects of variations in task design using different representations of mathematical objects on learning: A case of a sorting task. In Margolinas, C., Ainley, J., Frant, J. B., Doorman, M., Kieran, C., Leung, A., Ohtani, M., Sullivan, P., Thompson, D., Watson, A., & Yang, Y. (Eds.). Proceedings of ICMI Study 22 Task Design in Mathematics Education, pp. 463-372. Oxford, UK.

28. Klinstern, M., Koichu, B., & Berman, A. (2013). What do high school teachers mean by saying “I pose my own problems”? In Lindmeier, A. M. & Heinze, A. (Eds.). Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, pp. 185-192, Kiel, Germany: PME.