Publications 1

Publications 2

List of Selected Publications - continue

Phone: +359-2-81-61-537

Cell-phone: +359-888-282-566

E-mail: kbankov@fmi.uni-sofia.bg

URL: https://store.fmi.uni-sofia.bg/fmi/edu_mi/kbankov/


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[81] Tatto, M.T., K. Bankov. The Organization of Content and Experiences in Mathematics Teacher Education and its Relation to Mathematics Teaching Knowledge. International Symposium Elementary Mathematics Teaching, Charles University, Prague, 2007.


[82] Bankov, K. Is the Preparation of Mathematics Teachers in Bulgaria Effective? Mathematics and Informatics”, 6, 2007 (in Bulgarian).


[83] Schmidt, W.H., Tatto, M.T., Bankov, K., et al. The Preparation Gap: Teacher Education for Middle School Mathematics in Six Countries. 2007 (prepared for Press Release December 11, 2007 at the National Press Club in Washington, D.C.)


[84] Bankov, K. Management Assistance to the Assessment and Testing Center. International Consultant’s Final Report to the ATC and PIU SA, Ministry of Education and Science, Republic of Armenia. May 2008.


[85] Bankov, K. Comparative Study of Mathematics Teacher Preparation in Six Countries. Mathematics and Informatics”, 1, 2008 (in Bulgarian).


[86] Schmidt, W. H., Tatto, T. M., Bankov, K., at al. How Does the German Sample in Comparison to the Samples from Bulgaria, Mexico, South Korea, Taiwan and the US? In Blömeke, S., Kaiser, G. & Lehmann, R. (Eds.), Professionelle Kompetenz angehender Lehrerinnen und Lehrer. Wissen, Überzeugungen und Lerngelegenheiten deutscher Mathematik-Studierender und -referendare – Erste Ergebnisse zur Wirksamkeit der Lehrerausbildung. Münster: Waxmann, pp. 481-498, 2008.


[87] Bankov, K., B. O’Sullivan. Manual for the use and reporting of national and international assessment data in Bulgaria, SPAN Consultants, 2008.


[88] Senk, S., R. Peck, K. Bankov, M. T. Tatto. Conceptualizing and Measuring Mathematical Knowledge for Teaching: Issues from TEDS-M, an IEA Cross-National Study. Paper presented for the Topic Study Group “Mathematics Knowledge for Teaching” at the 11-th International Congress for Mathematics Education (ICME-11), 2008.


[89] Schmidt, W., at al. Opportunity to Learn in the Preparation of Mathematics Teachers: Its Structure and How it Varies Across Six Countries. The International Journal of Mathematics Education. ZDM; Springer Berlin/Heidelberg, 40:735–747. Retrieved Sept. 9, 2008 from



[90] Blomeke, S., at al. Future teachers’ competence to plan a lesson: first results of a six-country study on the efficiency of teacher education. The International Journal of Mathematics Education. ZDM; Springer Berlin/Heidelberg, 40:794–762. Retrieved Sept. 9, 2008 from http://www.springerlink.com/content/x2h73w784367w738/


[91] Bankov, K. Comparative International Study “Teachers of the 21-st Century. Education. V. 2, 2009 (in Bulgarian).

[92] Bankov, K. Measurement and Assessment of Students’ Achievement. Azbuki, 48, 2009. (in Bulgarian).

[93] Bankov, K. Problems in Mathematics Teacher Preparation. Mathematics and Education in Mathematics - Proceedings of Thirty Ninth Spring Conference of the Union of Bulgarian Mathematicians, 2010 (in Bulgarian, summary in English).

[94] Bankov, K. Methods for Evaluation of Students’ Achievement. The Contemporary Pedagogical Reality – Results and Anticipated Attainments. Symposium of a research and practical conference, 29-30 October, Razgrad, 2010 (in Bulgarian).

[95] Bankov, K. Demands of the Modern Society from the Mathematics Education. The Dialog Between the Generations and the Structures of the Society Through the School. Symposium of a research and practical conference, 16-16 April, Sofia, 2010 (in Bulgarian).

[96] Bankov, K. Partition of a Polygon into Triangles. Proceedings of the 6-th Congress of the World Federation of National Mathematics Competitions. Riga, 2011.

[97] Bankov, K.,  M. T. Tatto. Curriculum for Preparation of Mathematics Teachers: A perspective from TEDS-M International Study. Paper presented for the Topic Study Group 26 “Pre-service Mathematical Education for Teachers” at the 12-th International Congress for Mathematics Education (ICME-12), ICME-12 Proceedings, pp.5535-5544, 2012. Download from http://www.springer.com/gp/book/9783319106854.

[98] Bankov, K., M. Christova. Analysis of Student Achievement on Mathematics. A Study of Reading and Mathematical Literacy of Grade 6 Students. CKOKUO and “Teach for Bulgaria” Foundation, 2012 http://www.ckoko.bg/upload/docs/2013-01/Analiz_CKOKUO_20.09.pdf (in Bulgarian).

[99] Bankov, K., Effects and Consequences from the Cheating in the National Assessment. Education, 2, 2013 (in Bulgarian).


[100] Bankov, K. Mathematics competitions and their influence on the professional development of the Bulgarian mathematicians. Newsletter of the International Group for Mathematical Creativity and Giftedness. #4, May 2013.


[101] Bankov, K., Teaching of geometry in Bulgaria. European Journal of Science and Mathematics Education. Vol. 1, No. 3, 2013. http://www.scimath.net/issue.asp?volume=1&issue=3&years=2013&numara=13


[102] Bankov, K., at al. Development of the TEDS-M Mathematics Assessment Frameworks, Instruments, and Scoring Guides. Chapter 3 in TEDS-M Technical Report, pp. 31-45, IEA, 2013. http://www.iea.nl/fileadmin/user_upload/Publications/Electronic_versions/TEDS-M_technical_report.pdf


[103] Senk, S., at al. Knowledge of Future Primary Teachers for Teaching Mathematics: An International Comparative Study. “International Perspectives on Teacher Knowledge, Beliefs and Opportunities to Learn”. Edited by S. Blömeke, F.-J. Hsieh, G. Kaiser, W.H. Schmidt. pp. 61-90. Springer, 2014.


[104] Bankov, K., I. Tsvetkova. Figures with Equal Areas in Convex Quadrilaterals. In “Mathematics Lessons Learned from Across the World, Prekindergarten – Grade 8”, pp. 77-83, edited by Johnny Lott and Carolyn Lott. National Council of Teachers of Mathematics, 2014.


[105] Bankov, K. European Baccalaureate – Unachievable Dream. Book of Abstracts of the Conference “125 Years Mathematics and Natural Sciences at Sofia University “St. Kliment Ohridski”, University Publisher, 2014, Sofia (in Bulgarian).


[106] Bankov, K. Mathematics Education is in deep crisis. “Didactical Modeling”. Electronic edition of the seminar “Didactical Modeling”, Institute of Mathematica and Informatics, Bulgarian Academy of Sciences, vol. 5 – 2014/2015 (in Bulgarian). http://www.math.bas.bg/omi/didmod/articles/volume05/2015_01_Kiril_Bankov.pdf


[107] Bankov, K., M. Rodriguez. Novice Teachers’ Mathematical Knowledge for Teaching: Conceptualizing, Measuring and Reporting On the Pilot Results. Paper presented in the symposium “Toward a Fair Evaluation of Teachers: Methodological Challenges in a Cross-National Study of Mathematics Teachers” at the annual meeting of the American Educational Research Association (AERA), Chicago, IL, April 2015.


[108] Bankov, K. What knowledge is needed for a mathematics teacher. “Continuous education”. Electronic edition of DIUU, Sofia University “St. Kl. Ohridski”. V. 10. 2015, (in Bulgarian), http://diuu.bg/emag/issue/vol10/.


[109] Bankov, K., I. Tsvetkova. Inscribed Quadrilaterals. In “Mathematics Lessons Learned from Across the World, Grades 7-12”, pp. 63-70, edited by Johnny Lott and Carolyn Lott. National Council of Teachers of Mathematics, 2015.


[110] Bankov, K. Bulgaria: An Overview. In “Education in the European Union. Post-2003 Member States”, pp. 8-25. Edited by Trevor Corner. Bloomsbury 2015.


[111] Danchev, P., K. Bankov, V. Stoimenova, D. Atanasov. Bulgaria – Piloting statistical models for estimation of schools’ value-added using the results from the national assessments: key results and findings. Washington, D.C.: World Bank Group. 2015. (in English and Bulgarian)



[111] Bankov,  K. A. Tafrova-Grigorova. Bulgaria. In Mullis, I. V. S., Martin, M. O., Goh, S., & Cotter, K. (Eds.) (2016). TIMSS 2015 Encyclopedia: Education Policy and Curriculum in Mathematics and Science. Retrieved from http://timssandpirls.bc.edu/timss2015/encyclopedia/


[112] Bankov, K. Numbers on a Circle. Mathematics Competitions, v. 29, No. 2, 2016.


[113] Bankov, K. Arrangements and Transformations of Numbers on a Circle: An Essay Inspired by Problems of Mathematics Competitions. Chapter from a book A. Soifer (Ed.) Competitions for Young Mathematicians. Perspectives from Five Continents (pp. 101-122). Springer, 2017.


[114] Mihnev, P., K. Bankov. An Example of Teaching a Course in e-learning Assessment Methods for a Master of Science Programme in e-learning. INTED2018 Proceedings. Pages: 9342-9351. 2018. ISBN: 978-84-697-9480-7, ISSN: 2340-1079.


[115] Tatto, M., K. Bankov. The Intended, Implemented, and Achieved Curriculum of Mathematics Teacher Education in the United States. In book: Exploring the Mathematical Education of Teachers Using TEDS-M Data. pp. 69-133. August 2018. Springer. DOI: 10.1007/978-3-319-92144-0_4.


[116] Bankov, K. The Research Approach in Teaching of Mathematics. MAKOS-2017 – Zapisky s 25. podzimni skolu pece o matematicke talent s mezinarodni ucasti. Olomouc, 2018. ISBN 978-80-244-5382-8.


[117] Bankov, K., Problems: The Treasure of Mathematics Competitions. Mathematics Competitions. v. 31, No. 2, 2018. ISSN 1031-7503.





[1] Rusev, R., K. Bankov, and Sv. Savchev, Problems for extracurricular work on mathematics, Narodna Prosveta, Sofia, 1986 (in Bulgarian).

[2] Tabov, J. and K. Bankov, Mathematics competitions around the world, Nauka i izkustvo, Sofia, 1988 (in Bulgarian).

[3] Bankov, K., Problems and solutions from the 10-th, 11-th, and 12-th tournaments of towns, School Center for Mathematics and Informatics, Stara Zagora, 1989, 1990, 1991 (in Bulgarian).

[4] Bankov, K., J. Iancheva, G. Markova, and L. Ljubenov, Mathematical etudes for pupils of primary school, School Center for Mathematics and Informatics, Stara Zagora, 1991 (in Bulgarian).

[5] Bankov, K., B. Lazarov, and J. Tabov, Mathematical tests, Sofia, 1992 (in Bulgarian and in English).

[6] Mathematical competitions 4 - 7 grades, vol. 1 and 2, edited by D. Rakovska, Iv. Tonov, K. Bankov, T. Vitanov, Regalia 6, Sofia, 1993 (in Bulgarian).

[7] Bankov, K., et. al., Mathematics for 6-th and 7-th grade as problem solving, Regalia 6, 1994 (in Bulgarian).

[8] Bankov, K., D. Rakovska, and I. Sharkova, Mathematics - class-room and profile textbook for 6-th grade, v. 1, 2, and 3, Regalia 6, 1995, 1996 (in Bulgarian).

[9] Rakovska, D., K. Bankov, Mathematical problems collection for 6-th grade, Regalia 6, 1997 (in Bulgarian).

[10] Bankov, K., et. al., Representative problems from mathematics competitions 4 - 7 grades, Regalia 6, 1998 (in Bulgarian).

[11] Lazarov, B., J. Tabov, K. Bankov, Mathematics tests for 6-11 grade, LIK, 1999 (in Bulgarian and in English).

[12] Bankov, K., et. al., Bulgarian mathematics competitions, 11-14 year olds, selected problems, Bulgaria, Regalia 6, 2001 (in English).

[13] Bankov, K., T. Vitanov, Geometry, Anubis, 2003 (in Bulgarian).

[14] Mathematical competitions 4 - 7 grades, edited by D. Rakovska, Iv. Tonov, K. Bankov, T. Vitanov, T. Tonova, Ch. Lozanov. Regalia 6, Sofia, 2004 (in Bulgarian).

[15] Bankov, K., Ch. Lozanov, N. Raykov, I. Tsvetkova, I. Sharkova, How to solve problems? Training aid on mathematics, Anubis, 2005 (in Bulgarian).

[16] Bankov, K., T. Vitanov, B. Kiradjiev, M. Marinov, Mathematics competitions for entering technical universities and the University of Shoumen, Aid for university candidates, Anubis, 2005 (in Bulgarian).

[17] Rakovska, D., K. Bankov, Collection of mathematical problems and tests collection for 6-th grade, Regalia 6, 2005 (in Bulgarian).

[18] Rakovska, D., K. Bankov, Test items, Mathematics for applying after grade 7. Bulgaria, Regalia 6, 2006, 2006. (in Bulgarian).

[19] Vitanov, T., K. Bankov et. al., Mathematical Tests. “Anubis”, 2007 (in Bulgarian).

[20] Bankov, K., T. Vitanov, M. Marinov, D. Todorov. Mathematics. Tests for preparation of the school-leaving examination. Sofia, “Anubis”, 2007 (in Bulgarian).

[21] Schmidt, W., et. al. Teacher Education Matters. A study of Middle School Mathematics Teacher Preparation in Six Countries. Teachers College, Columbia University, NY and London, 2011.

[22] Tatto, M., et. Al. Policy, Practice, and Readiness to Teach Primary and Secondary Mathematics in 17 Countries. Findings from the IEA Teacher Education and Development Study in Mathematic (TEDS-M). IEA, the Netherkands, 2012.

[23] Bankov, K. Introduction to test theory. Sofia, Izkustva, 2012 (in Bulgarian).

[24] Bankov, K., P. Ninkova, D. Petrova, I. Tsvetkova, V. Zaharieva, E. Bankova. A book of mathematical problems for grade 8. Sofia, Prosveta, 2017 (in Bulgarian). ISBN 978–954–01–3505–2.

[25] Tatto, M.T., Rodriguez, M.C., Smith, W.M., Reckase, M.D., & Bankov, K. (2018). Exploring the Mathematical Education of Teachers Using TEDS-M Data. Switzerland: Springer International Publishing. DOI: 10.1007/978-3-319-92144-0.

[26] Bankov, K., I. Tsvetkova, D. Petrova, G. Nikolova, S. Nakov. Current Mathematics Preparation for National External Assessment Grade 10. Prosveta – Sofia, 2019. ISBN 978–954–01–3973–9.



[1] Bankov, K., T. Stoeva, I. Tsvetkova, D. Petrova. Mathematics for grade 8. Prosveta – Sofia, 2017. ISBN 978–954–01–3318–8.

[2] Bankov, K., I. Tsvetkova, D. Petrova, G. Nikolova, S. Nakov. Mathematics for grade 9. Prosveta – Sofia, 2018. ISBN 978–954–01–3669–1.

[3] Bankov, K., I. Tsvetkova, D. Petrova, G. Nikolova, S. Nakov. Mathematics for grade 10. Prosveta – Sofia, 2019. ISBN 978–954–01–3870–1.


Research work qualifying for a professor

[1] Bankov, K. Large Scale Studies in Educational Assessment. Sofia, 2012. https://www.fmi.uni-sofia.bg/bg/prof-d-r-kiril-georgiev-bankov (in Bulgarian).

To contact me:

University of Sofia

Faculty of Mathematics and Informatics

James Boucher bul. 5

1164 Sofia


Last update 18 October 2019