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

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. 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.

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

23. Koichu, B. (2014). Networking theories by iterative unpacking. *PNA,* 151-161* *(reprint).

24. Kontorovich, I., & Koichu, B. (2014). A case study of an expert problem poser for mathematics competitions. *International Journal of Science and Mathematics Education*. DOI: 10.1007/s10763-013-9467-z.

25. Lachmy, R., & Koichu, B. (2014). The interplay of empirical and deductive reasoning in proving "if" and "only if" statements in a Dynamic Geometry environment. *Journal of Mathematical Behavior*, 36, 150-165.

26. Zazkis, R., & Koichu, B. (2015). A fictional dialogue on infinitude of primes: Introducing virtual duoethnography. *Educational Studies in Mathematics*, 88, 163-181.

27. Koichu, B., Zaslavsky, O. & Dolev, L. (2015). Effects of variations in task design on mathematics teachers’ learning experiences: A case of a sorting task. *Journal of Mathematics Teacher Education*. DOI: 10.1007/s10857-015-9302-2.

28. Palatnik, A., & Koichu, B. (2015). Reconstructing and dismantling one insight solution: Focus on shifts of attention. *For the Learning of Mathematics*, 2, 9-14.

29. Koichu, B., & Leron, U. (accepted pending minor revision). Proving as problem solving: The role of cognitive decoupling. *Journal of Mathematical Behavior*.

**Papers in peer-reviewed journals in Hebrew**

30. Raveh, I., & Koichu, B. (2014). Mathematical knowledge for teaching the standard algorithms of the four basic arithmetic operations. *Mispar Hazak* (*Strong Number*) 25, 51-61.

31. Widder, M., Berman, A., & Koichu, B. (2015). Dismantling visual obstacles to comprehension of 2-D sketches depicting 3-D objects in spatial geometry instruction. *Alon LeMorej HaMatematika* (*Bulletin for Mathematics Teachers*), 52, 19-28.

**Invited papers in professional newsletters**

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

**Edited book**

Leikin, R., Berman, A., & Koichu, B. (Eds.) (2009). *Creativity in mathematics and the education of gifted students*. Rotterdam, Netherlands: Sense Publishers.

**Book chapters**

1. 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.

2. 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.

3. 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.

4. 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. & Rivera, F. (Eds.). *Toward equity: Gender, culture, and diversity* (pp. 407-410). Advances in Mathematics Education series, Part 3. Dordrecht, Netherlands: Springer.

5. Koichu, B. (2014) (with contributions by Gerald Goldin, Izzie Weinzweig, Shlomo Vinner and Roza Leikin). Reflections on problem solving. In M. N. Fried & T. Dreyfus (Eds.), *Mathematics & Mathematics Education: Searching for Common Ground. Advances in Mathematics Education* (pp. 113-135). Dordrecht, Netherlands: Springer.

6. Klinshtern, M., Koichu, B., & Berman, A. (2015). 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*. (pp. 449-467). New York, NY: Springer.

**Book Chapters in Hebrew**

Keller, N., & Koichu, B. (accepted). A dialogue on the process of integrating a classroom environment and an online environment in studying mathematics. The chapter is written for: Swartz, B. & Caduri, G. (Eds.), *Social networks in education* (tentative title). Tel Aviv: MOFET.

**Research reports**

1. Koichu, B. (2002). *Evaluation of mathematics education in MOFET classes* (in Hebrew) (Funded by Ort Israel). The report is published by MOFET Association, Israel.

2. Berman, A., Dana-Pickard, N., Koichu, B., Medzinsky, S., Nahlieli, T., & Svarkman, A. (2009). *Exploration of the literature on secondary school mathematics programs in five countries* (in Hebrew). Israel: Ministry of Education. Retrieved January 10, 2010, from http://meyda.education.gov.il/files/Tochniyot_Limudim/Portal/Skirot/MathSkira.pdf .

3. Leikin, R., Koichu, B., & Berman, A. (2011). *Exploring mathematical thinking and giftedness of high achievers who learn mathematics in different types of classes*. Report of the research project funded by ISF (grant 557/07).

**Textbooks**

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

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

**Peer reviewed conference papers**

1. Koichu, B., & Berman, A. (2002). Mathematical research work of talented high school students. In A. Andžāns and H. Meissner (Eds.),* Proceedings of the 3*^{rd} 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 3*^{rd} Conference of the European Society for Research in Mathematics Education. Retrieved November 8, 2013 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 3*^{rd} 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 4*^{th} 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 30*^{th} 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 30*^{th} 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 5*^{th} 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 31*^{st} 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 5*^{th} International Conference on Creativity in Mathematics and the Education of Gifted Students, pp. 437-439, Haifa, Israel.

10. Koichu, B., & Andžāns, A. (2008). Mathematical creativity and giftedness in out-of-school activities. In R. Leikin (Ed.), *Proceedings of the 5*^{th} 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 5*^{th} 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 32*^{nd} 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 6*^{th} 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 6^{th} 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 6^{th} 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 6^{th} 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. Electronic Proceedings of the* 8*^{th} Conference of the European Society for Research in Mathematics Education, Antalya, Turkey. Retrieved February 17, 2014, from http://cerme8.metu.edu.tr/wgpapers/WG14/WG14_Berman.pdf.

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. Electronic Proceedings of the* 8*^{th} Conference of the European Society for Research in Mathematics Education, Antalya, Turkey. Retrieved February 17, 2014, from http://cerme8.metu.edu.tr/wgpapers/WG17/WG17_Raveh.pdf.

25. Koichu, B. (2013). Networking theories by iterative unpacking. Electronic Proceedings of the* 8*^{th} Conference of the European Society for Research in Mathematics Education, Antalya, Turkey. Retrieved February 17, 2014, from http://cerme8.metu.edu.tr/wgpapers/WG16/WG16_Koichu.pdf (the paper is reprinted in *PNA* in 2014).

26. Koichu, B., & Zazkis, R. (2013). A dialogic method of presenting proofs: Focus on Fermat's Little Theorem. Presented at the 15^{th} Conference of SIGMAA on RUME (Special Interest Group of MAA on Research in Undergraduate Mathematics Education), Denver, Colorado. Retrieved on May 5, 2014 from http://sigmaa.maa.org/rume/crume2013/Abstracts_Files/rume16_submission_55.pdf

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. Klinshtern, 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.

29. Palatnik, A., & Koichu, B. (2014). What counts for being creative?

A mathematically gifted student’s perspective. Proceedings of the *8*^{th} International Conference on Creativity in Mathematics Education and the Education of the Gifted Students (pp. 96-103). Denver, USA. Retrieved August 8, 2014 from http://www.igmcg.org/images/proceedings/MCG-8-proceedings.pdf

30. Widder, M., Berman, A., & Koichu, B. (2014). Dismantling visual obstacles to comprehension of 2-D sketches depicting 3-D objects. Research report to be presented at the *38th Conference of the International Group for the Psychology of Mathematics Education*, Vol. 5, pp. 369-376.* *Vancouver, Canada: PME.

31. Palatnik. A., & Koichu, B. (2014). Reconstruction of one mathematical invention: Focus on structures of attention. In P. Liljedahl, C. Nicol, S. Oesterle, & D. Allan (Eds.), *Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education*, Vol. 4, pp. 377-384. Vancouver, Canada: PME.

32. Koichu, B. (in press).Towards a confluence framework of problem solving in educational contexts. Proceedings of the* 9*^{th} Conference of the European Society for Research in Mathematics Education, Charles University in Prague, Czech Republic.

33. Koichu, B. (2015). Problem solving and choice-based pedagogies. In Singer, F. M., Toader, F., & Voica, C. (Eds.), *Electronic Proceedings of the **9*^{th} International Conference Mathematical Creativity and Giftedness, pp. 68-73. Sinaia, Romania (ISBN: 978-606-727-100-3). Retrieved July 10 2015 from http://mcg-9.net/pdfuri/MCG-9-Conference-proceedings.pdf