Srpski
Abstract
For decades, mathematics education researchers have been focusing on students with special abilities in mathematics and mathematical competitions, and examining the impact of various organizational forms of work, such as grouping students and enriching teaching and learning programs, on students’ success in competitions. Considering the lack of similar research in the Republic of Serbia, as well as the tradition of grouping students with special abilities in mathematics into specialized (SM) classes, this study aimed to investigate whether there is a trend in the increased participation of SM class students in national competitions and to determine whether there are differences in the achievements of students from SM and regular classes. The research sample consists of all 7th and 8th-grade students who participated in national competitions from 2007 to 2024. The results indicate that there is a trend of increasing the number of SM class students in national competitions, as well as a statistical difference in the achievements of students attending regular and specialized mathematics classes in favor of students grouped in homogeneous (SM) classes. Moreover, over the past 18 years, SM class students have statistically significantly outperformed their peers 11 times in 7th and 12 times in 8th grade. Based on the obtained results, it can be concluded that grouping mathematically gifted students into homogeneous, specialized classes positively affects their performance in national competitions.
References
Altaras-Dimitrijević, S. i Tatić-Janevski, S. (2016). Obrazovanje učenika izuzetnih sposobnosti: naučne osnove i smernice za školsku praksu. Beograd: Zavod za unapređivanje obrazovanja i vaspitanja.
Al-Zoubi, S. M. (2014). Effects of Enrichment Programs on the Academic Achievement of Gifted and Talented Students. Journal for the Education of the Young Scientist and Giftedness, 2(2), 22–27. https://files.eric.ed.gov/fulltext/ED590420.pdf
Andreescu, T., Gallian, A., Kane, J. M. & Mertz, J. E. (2008). Cross-cultural analysis of students with exceptional talent in mathematical problem solving. Notices of the American Mathematical Society, 55(10), 1248–1260. http://www.ams.org/notices/200810/fea-gallian.pdf
Andrić, V., Kadelburg, Z., Marić, М. i Mladenović, P. (2018). 70 godina rada Društva matematičara Srbije. Nastava matematike, 63(1-2), 1–16. http://elib.mi.sanu.ac.rs/files/journals/nm/257/nmn257p1-16.pdf
Asmat, R. (2021). Ordinal Rank Effects in Mathematical Competitions. Retrieved July 31, 2024 from https://warwick.ac.uk/fac/soc/economics/staff/rasmatbelleza/rank.pdf
Berinde, V. (2004). Romania–The native country of International Mathematical Olympiads. A brief history of Romanian Mathematical Society. CUB PRESS 22, Baia Mare.
Borovik, A. & Gardiner, T. (2007). Mathematical abilities and mathematical skills. Manchester Institute for Mathematical Sciences, University of Manchester.
Campbell, J. R. & Walberg, H. J. (2010). Olympiad studies: Competitions provide alternatives to developing talents that serve national interests. Roeper Review, 33(1), 8–17. https://doi.org/10.1080/02783193.2011.530202
Campbell, J. R., Cho, S. & Feng, A. X. (2010). Academic competition. A bridge to more opportunities for the talented. Roeper Review, 33(1), 5–7. https://doi.org/10.1080/02783193.2011.530201
Chiriacescu, F. S., Chiriacescu, B., Grecu, A. E., Miron, C., Panisoara, I. O. & Lazar, I. M. (2023). Secondary teachers’ competencies and attitude: A mediated multigroup model based on usefulness and enjoyment to examine the differences between key dimensions of STEM teaching practice. PloS one, 18(1), e0279986
de Losada, M. F. & Taylor, P. J. (2022). Perspectives on mathematics competitions and their relationship with mathematics education. ZDM Mathematics Education, 54, 941–959, https://doi.org/10.1007/s11858-022-01404-z
Duca, D. I. (2015). A history that deserves to be known. Gazeta Matematica and the Romanian Society of Mathematical Sciences. Cluj-Napoca: Casa Cartii de Stiinta.
Ellison, G. & Swanson, A. (2016). Do Schools Matter for High Math Achievement? Evidence from the American Mathematics Competitions. American Economic Review, 106(6), 1244–1277, http://dx.doi.org/10.1257/aer.20140308
Japashov, N., Naushabekov, Z., Ongarbayev, S., Postiglione, A. & Balta, N. (2022). STEM Career Interest of Kazakhstani Middle and High School Students. Educ. Sci., 12(6), 397. https://doi.org/10.3390/educsci12060397
Karp, A. (2009). Teaching the Mathematically Gifted: An Attempt at a Historical Analysis. In: Creativity in Mathematics and the Education of Gifted Students, 11–29. https://doi.org/10.1163/9789087909352_003
Kenderov, P. (2006). Competitions and mathematics education. Proceedings of the International Congress of Mathematicians, 3, 1583–1598. ISBN 978-3-03719-022-7.
Kenderov, P. (2022). Mathematical competitions: an integral part of the educational process. ZDM – Mathematics Education, 54, 983996. https://doi.org/10.1007/s11858-022-01348-4
Kiernan, L., Walsh, M. & White, E. (2023). Gender in Technology, Engineering and Design: factors which influence low STEM subject uptake among females at third level. Int J Technol Des Educ, 33, 497–520. https://doi.org/10.1007/s10798-022-09738-1
Kim, M. (2016). A Meta-Analysis of the Effects of Enrichment Programs on Gifted Students. Gifted Child Quarterly, 60(2), 102116. https://doi.org/10.1177/0016986216630607
Koichu, B. & Andzans, A. (2009). Mathematical creativity and giftedness in out-of-school activities. In R. Leikin, A. Berman, & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students, 285–307.
Kolmogorov, A. N., Vavilov, V. V. & Tropin, I. T. (1981). The physics and mathematics school at Moscow State University . (In Russian: Fiziko-matematicheskaya shkola pri MGU). Moscow, USSR: Znanie.
Kulik, J. A. & Kulik, C. C. (1987). Effects of ability grouping on student achievement. Equity & Excellence in Education, 23(1–2), 22–30. https://doi.org/10.1080/1066568870230105
Kurnik, Z. (2001). Matematičke sposobnosti. Matematika i škola, 10, 195199.
Manev, K., Kelevedjiev, E. & Kapralov, S. (2007). Programming contests for school students in Bulgaria. Olympiads in Informatics, 1, 112–123. https://ioinformatics.org/journal/INFOL010.pdf
Mićić, V., Kadelburg, Z. i Popović, B. (2008). 60 godina Društva matematičara Srbije, Nastava matematike, 53(1-2), 1–12. http://elib.mi.sanu.ac.rs/files/journals/nm/234/nm531201.pdf
Mihajlović, А. (2023). Darovitost, kreativnost i matematika. Jagodina: Fakultet pedagoških nauka Univerziteta u Kragujevcu.
Neihart, M. (2007). The socioaffective impact of acceleration and ability grouping: Recommendations for best practice. Gifted Child Quarterly, 51(4), 330–341. https://doi.org/10.1177/0016986207306319
Olszewski-Kubilius, P. & Lee, S. (2004). The role of participation in in-school and outside-of-school activities in the talent development of gifted students. Journal of Secondary Gifted Education, 15(3), 107–123. https://doi.org/10.4219/jsge-2004-454
Omerović, M., Rešić, S., Palić, A. & Bazdalić, T. (2020). Role of additional activities and competition in the teaching of mathematics. Human Research in Rehabilitation, 10(1), 4150. https://doi.org/10.21554/hrr.042005
Ozdemir, D. (2022). An Examination of Students’ Views about an International Math Contest. International Electronic Journal of Mathematics Education, 17(2), em0680. https://doi.org/10.29333/iejme/11817
Pravilnik o nastavnom planu i programu za učenike sedmog i osmog razreda osnovnog obrazovanja i vaspitanja obdarene za matematiku (2019). Prosvetni glasnik. Službeni glasnik Republike Srbije, br. 12/2019.
Pravilnik o takmičenjima učenika osnovnih i srednjih škola iz matematike u organizaciji Ministarstva prosvete Republike Srbije i Društva matematičara Srbije (2021). Retrieved July 29, 2024 from https://dms.rs/wp-content/uploads/2021/02/Pravilnik-o-takmicenjima-iz-matematike-2021.pdf
Rochayati, M. Y. & Rochayani, M. Y. (2024). The Effect of Enrichment Program on the Achievement of Vocational High School Gifted Students in Mathematics Competitions. Jurnal Ilmu Pendidikan (JIP) STKIP Kusuma Negara, 15(2), 127137.
Shani-Zinovich, I. & Zeidner, M. (2009). On Being a Gifted Adolescent: Developmental, Affective, and Social Issues. In R. Leikin, A. Berman & B. Koichu (eds.), Creativity in Mathematics and the Education of Gifted Students, 195219. https://doi.org/10.1163/9789087909352_014
Slavin, R. E. (1990). Achievement effects of ability grouping in secondary schools: A best-evidence synthesis. Review of Educational Research, 60(3), 471–499. https://doi.org/10.3102/00346543060003471
Slavin, R. E. (1993). Ability grouping in the middle grades: Achievement effects and alternatives. Elementary School Journal, 93, 535–552. https://doi.org/10.1086/461739
Song, C. S., Xu, C., Maloney, E., Skwarchuk, S-L., di Lonardo Burr, S., Lafay, A., Wylie, J., Osana, H., Douglas, H. & LeFevre, J-A. (2021). Longitudinal relations between young students’ feelings about mathematics and arithmetic performance. Cognitive Development, 59, July–September. https://doi.org/10.1016/j.cogdev.2021.101078
Steegh, A. M., Höffler, T. N., Keller, M. M. & Parchmann, I. (2019). Gender differences in mathematics and science competitions: A systematic review. Journal of Research in Science Teaching, 56(10), 1431–1460. https://doi.org/10.1002/tea.21580
Steenbergen-Hu, S., Makel, M. C. & Olszewski-Kubilius, P. (2016). What one hundred years of research says about the effects of ability grouping and acceleration on K–12 students’ academic achievement: Findings of two second-order meta-analyses. Review of Educational Research, 86(4), 849–899. https://doi.org/10.3102/0034654316675417
Stockton, J. C. (2012). Mathematical competitions in Hungary: Promoting a tradition of excellence & creativity. The Mathematics Enthusiast, 9(1), 37–58. https://digitalcommons.sacredheart.edu/cgi/viewcontent.cgi?article=1004&context=math_fac
Stručno uputstvo za prepoznavanje, podršku i praćenje obrazovanja i vaspitanja učenika/ca sa izuzetnim/posebnim sposobnostima (2023). Retrieved July 25, 2024 from https://prosveta.gov.rs/wp-content/uploads/2023/09/Strucno-uputstvo-za-prepoznavanje-talentovanih-ucenika.pdf
Swiatek, M. A. & Lupkowski-Shoplik, A. (2005). An Evaluation of the Elementary Student Talent Search by Families and Schools. Gifted Child Quarterly, 49(3), 247–259. https://doi.org/10.1177/001698620504900306
Szczepański, J. (2017). Mathematical contests as seen by participants. Science, Technology and Innovation, 4(3), 4954. https://doi.org/10.5604/01.3001.0010.8000
Thorvaldsen, S. & Vavik, L. (2012). Foundations for success in mathematical competitions: A study of best praxis in lower secondary schools in Norway, The Mathematics Enthusiast, 9(3), 359–370. https://doi.org/10.54870/1551-3440.1250
Thrasher, T. N. (2008). The benefits of mathematics competitions. Alabama Journal of Mathematics, 33, 5963. http://ajmonline.org/2008/12.pdf
Uçar, F. M., Uçar, M. B. & Çalışkan, M. (2017). Investigation of gifted students' problem-solving skills. Journal for the Education of Gifted Young Scientists, 5(3), 1–14. http://dx.doi.org/10.17478/JEGYS.2017.61
Vulović, N., Mihajlović, A. & Milikić, M. (2023). Mathematical competitions and gender differences in the achievements of third-grade elementary school students. In N. Malinović-Jovanović (ed.) Quality of Teaching and Learning (QTL) - Reality and Possibilities, November 17/18, 2023, Vranje, 3341. Vranje: Pedagogical Faculty in Vranje, University in Niš.
Vulović, N. (2016). Priprema učenika za matematička takmičenja u razrednoj i predmetnoj nastavi. Uzdanica, 13(1), 71–86. ISSN 1451-673X, UDK 371.121:159.928-057.874
Vulović, N., Mihajlović, A. & Milikić, M. (2022). Achievements of younger primary school students in Mathematics competitions during the COVID-19 pandemic. Uzdanica, 19, 133147. https://doi.org/10.46793/Uzdanica19.S.133V
Vulović, N., Mihajlović, A. & Milinković, J. (2023). Polne razlike na matematičkim takmičenjima u Republici Srbiji. Inovacije u nastavi, 36(3), 119135. https://doi.org/10.5937/inovacije2303119V
Vulović, N., Milikić, М. (2015). Nacionalni okvir ishoda matematičkih takmičenja učenika četvrtog razreda. Metodički aspekti nastave matematike III, 14-15. jun 2014. godine, Jagodina, 119129. Jagodina: Fakultet pedagoških nauka Univerziteta u Kragujevcu.
Weinert F. E. & Wagner H. (1987). Die Förderung Hochbegabter in der Bundesrepublik Deutschland: Probleme, Positionen, Perspektiven, Bad Honnef: Bock.
Al-Zoubi, S. M. (2014). Effects of Enrichment Programs on the Academic Achievement of Gifted and Talented Students. Journal for the Education of the Young Scientist and Giftedness, 2(2), 22–27. https://files.eric.ed.gov/fulltext/ED590420.pdf
Andreescu, T., Gallian, A., Kane, J. M. & Mertz, J. E. (2008). Cross-cultural analysis of students with exceptional talent in mathematical problem solving. Notices of the American Mathematical Society, 55(10), 1248–1260. http://www.ams.org/notices/200810/fea-gallian.pdf
Andrić, V., Kadelburg, Z., Marić, М. i Mladenović, P. (2018). 70 godina rada Društva matematičara Srbije. Nastava matematike, 63(1-2), 1–16. http://elib.mi.sanu.ac.rs/files/journals/nm/257/nmn257p1-16.pdf
Asmat, R. (2021). Ordinal Rank Effects in Mathematical Competitions. Retrieved July 31, 2024 from https://warwick.ac.uk/fac/soc/economics/staff/rasmatbelleza/rank.pdf
Berinde, V. (2004). Romania–The native country of International Mathematical Olympiads. A brief history of Romanian Mathematical Society. CUB PRESS 22, Baia Mare.
Borovik, A. & Gardiner, T. (2007). Mathematical abilities and mathematical skills. Manchester Institute for Mathematical Sciences, University of Manchester.
Campbell, J. R. & Walberg, H. J. (2010). Olympiad studies: Competitions provide alternatives to developing talents that serve national interests. Roeper Review, 33(1), 8–17. https://doi.org/10.1080/02783193.2011.530202
Campbell, J. R., Cho, S. & Feng, A. X. (2010). Academic competition. A bridge to more opportunities for the talented. Roeper Review, 33(1), 5–7. https://doi.org/10.1080/02783193.2011.530201
Chiriacescu, F. S., Chiriacescu, B., Grecu, A. E., Miron, C., Panisoara, I. O. & Lazar, I. M. (2023). Secondary teachers’ competencies and attitude: A mediated multigroup model based on usefulness and enjoyment to examine the differences between key dimensions of STEM teaching practice. PloS one, 18(1), e0279986
de Losada, M. F. & Taylor, P. J. (2022). Perspectives on mathematics competitions and their relationship with mathematics education. ZDM Mathematics Education, 54, 941–959, https://doi.org/10.1007/s11858-022-01404-z
Duca, D. I. (2015). A history that deserves to be known. Gazeta Matematica and the Romanian Society of Mathematical Sciences. Cluj-Napoca: Casa Cartii de Stiinta.
Ellison, G. & Swanson, A. (2016). Do Schools Matter for High Math Achievement? Evidence from the American Mathematics Competitions. American Economic Review, 106(6), 1244–1277, http://dx.doi.org/10.1257/aer.20140308
Japashov, N., Naushabekov, Z., Ongarbayev, S., Postiglione, A. & Balta, N. (2022). STEM Career Interest of Kazakhstani Middle and High School Students. Educ. Sci., 12(6), 397. https://doi.org/10.3390/educsci12060397
Karp, A. (2009). Teaching the Mathematically Gifted: An Attempt at a Historical Analysis. In: Creativity in Mathematics and the Education of Gifted Students, 11–29. https://doi.org/10.1163/9789087909352_003
Kenderov, P. (2006). Competitions and mathematics education. Proceedings of the International Congress of Mathematicians, 3, 1583–1598. ISBN 978-3-03719-022-7.
Kenderov, P. (2022). Mathematical competitions: an integral part of the educational process. ZDM – Mathematics Education, 54, 983996. https://doi.org/10.1007/s11858-022-01348-4
Kiernan, L., Walsh, M. & White, E. (2023). Gender in Technology, Engineering and Design: factors which influence low STEM subject uptake among females at third level. Int J Technol Des Educ, 33, 497–520. https://doi.org/10.1007/s10798-022-09738-1
Kim, M. (2016). A Meta-Analysis of the Effects of Enrichment Programs on Gifted Students. Gifted Child Quarterly, 60(2), 102116. https://doi.org/10.1177/0016986216630607
Koichu, B. & Andzans, A. (2009). Mathematical creativity and giftedness in out-of-school activities. In R. Leikin, A. Berman, & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students, 285–307.
Kolmogorov, A. N., Vavilov, V. V. & Tropin, I. T. (1981). The physics and mathematics school at Moscow State University . (In Russian: Fiziko-matematicheskaya shkola pri MGU). Moscow, USSR: Znanie.
Kulik, J. A. & Kulik, C. C. (1987). Effects of ability grouping on student achievement. Equity & Excellence in Education, 23(1–2), 22–30. https://doi.org/10.1080/1066568870230105
Kurnik, Z. (2001). Matematičke sposobnosti. Matematika i škola, 10, 195199.
Manev, K., Kelevedjiev, E. & Kapralov, S. (2007). Programming contests for school students in Bulgaria. Olympiads in Informatics, 1, 112–123. https://ioinformatics.org/journal/INFOL010.pdf
Mićić, V., Kadelburg, Z. i Popović, B. (2008). 60 godina Društva matematičara Srbije, Nastava matematike, 53(1-2), 1–12. http://elib.mi.sanu.ac.rs/files/journals/nm/234/nm531201.pdf
Mihajlović, А. (2023). Darovitost, kreativnost i matematika. Jagodina: Fakultet pedagoških nauka Univerziteta u Kragujevcu.
Neihart, M. (2007). The socioaffective impact of acceleration and ability grouping: Recommendations for best practice. Gifted Child Quarterly, 51(4), 330–341. https://doi.org/10.1177/0016986207306319
Olszewski-Kubilius, P. & Lee, S. (2004). The role of participation in in-school and outside-of-school activities in the talent development of gifted students. Journal of Secondary Gifted Education, 15(3), 107–123. https://doi.org/10.4219/jsge-2004-454
Omerović, M., Rešić, S., Palić, A. & Bazdalić, T. (2020). Role of additional activities and competition in the teaching of mathematics. Human Research in Rehabilitation, 10(1), 4150. https://doi.org/10.21554/hrr.042005
Ozdemir, D. (2022). An Examination of Students’ Views about an International Math Contest. International Electronic Journal of Mathematics Education, 17(2), em0680. https://doi.org/10.29333/iejme/11817
Pravilnik o nastavnom planu i programu za učenike sedmog i osmog razreda osnovnog obrazovanja i vaspitanja obdarene za matematiku (2019). Prosvetni glasnik. Službeni glasnik Republike Srbije, br. 12/2019.
Pravilnik o takmičenjima učenika osnovnih i srednjih škola iz matematike u organizaciji Ministarstva prosvete Republike Srbije i Društva matematičara Srbije (2021). Retrieved July 29, 2024 from https://dms.rs/wp-content/uploads/2021/02/Pravilnik-o-takmicenjima-iz-matematike-2021.pdf
Rochayati, M. Y. & Rochayani, M. Y. (2024). The Effect of Enrichment Program on the Achievement of Vocational High School Gifted Students in Mathematics Competitions. Jurnal Ilmu Pendidikan (JIP) STKIP Kusuma Negara, 15(2), 127137.
Shani-Zinovich, I. & Zeidner, M. (2009). On Being a Gifted Adolescent: Developmental, Affective, and Social Issues. In R. Leikin, A. Berman & B. Koichu (eds.), Creativity in Mathematics and the Education of Gifted Students, 195219. https://doi.org/10.1163/9789087909352_014
Slavin, R. E. (1990). Achievement effects of ability grouping in secondary schools: A best-evidence synthesis. Review of Educational Research, 60(3), 471–499. https://doi.org/10.3102/00346543060003471
Slavin, R. E. (1993). Ability grouping in the middle grades: Achievement effects and alternatives. Elementary School Journal, 93, 535–552. https://doi.org/10.1086/461739
Song, C. S., Xu, C., Maloney, E., Skwarchuk, S-L., di Lonardo Burr, S., Lafay, A., Wylie, J., Osana, H., Douglas, H. & LeFevre, J-A. (2021). Longitudinal relations between young students’ feelings about mathematics and arithmetic performance. Cognitive Development, 59, July–September. https://doi.org/10.1016/j.cogdev.2021.101078
Steegh, A. M., Höffler, T. N., Keller, M. M. & Parchmann, I. (2019). Gender differences in mathematics and science competitions: A systematic review. Journal of Research in Science Teaching, 56(10), 1431–1460. https://doi.org/10.1002/tea.21580
Steenbergen-Hu, S., Makel, M. C. & Olszewski-Kubilius, P. (2016). What one hundred years of research says about the effects of ability grouping and acceleration on K–12 students’ academic achievement: Findings of two second-order meta-analyses. Review of Educational Research, 86(4), 849–899. https://doi.org/10.3102/0034654316675417
Stockton, J. C. (2012). Mathematical competitions in Hungary: Promoting a tradition of excellence & creativity. The Mathematics Enthusiast, 9(1), 37–58. https://digitalcommons.sacredheart.edu/cgi/viewcontent.cgi?article=1004&context=math_fac
Stručno uputstvo za prepoznavanje, podršku i praćenje obrazovanja i vaspitanja učenika/ca sa izuzetnim/posebnim sposobnostima (2023). Retrieved July 25, 2024 from https://prosveta.gov.rs/wp-content/uploads/2023/09/Strucno-uputstvo-za-prepoznavanje-talentovanih-ucenika.pdf
Swiatek, M. A. & Lupkowski-Shoplik, A. (2005). An Evaluation of the Elementary Student Talent Search by Families and Schools. Gifted Child Quarterly, 49(3), 247–259. https://doi.org/10.1177/001698620504900306
Szczepański, J. (2017). Mathematical contests as seen by participants. Science, Technology and Innovation, 4(3), 4954. https://doi.org/10.5604/01.3001.0010.8000
Thorvaldsen, S. & Vavik, L. (2012). Foundations for success in mathematical competitions: A study of best praxis in lower secondary schools in Norway, The Mathematics Enthusiast, 9(3), 359–370. https://doi.org/10.54870/1551-3440.1250
Thrasher, T. N. (2008). The benefits of mathematics competitions. Alabama Journal of Mathematics, 33, 5963. http://ajmonline.org/2008/12.pdf
Uçar, F. M., Uçar, M. B. & Çalışkan, M. (2017). Investigation of gifted students' problem-solving skills. Journal for the Education of Gifted Young Scientists, 5(3), 1–14. http://dx.doi.org/10.17478/JEGYS.2017.61
Vulović, N., Mihajlović, A. & Milikić, M. (2023). Mathematical competitions and gender differences in the achievements of third-grade elementary school students. In N. Malinović-Jovanović (ed.) Quality of Teaching and Learning (QTL) - Reality and Possibilities, November 17/18, 2023, Vranje, 3341. Vranje: Pedagogical Faculty in Vranje, University in Niš.
Vulović, N. (2016). Priprema učenika za matematička takmičenja u razrednoj i predmetnoj nastavi. Uzdanica, 13(1), 71–86. ISSN 1451-673X, UDK 371.121:159.928-057.874
Vulović, N., Mihajlović, A. & Milikić, M. (2022). Achievements of younger primary school students in Mathematics competitions during the COVID-19 pandemic. Uzdanica, 19, 133147. https://doi.org/10.46793/Uzdanica19.S.133V
Vulović, N., Mihajlović, A. & Milinković, J. (2023). Polne razlike na matematičkim takmičenjima u Republici Srbiji. Inovacije u nastavi, 36(3), 119135. https://doi.org/10.5937/inovacije2303119V
Vulović, N., Milikić, М. (2015). Nacionalni okvir ishoda matematičkih takmičenja učenika četvrtog razreda. Metodički aspekti nastave matematike III, 14-15. jun 2014. godine, Jagodina, 119129. Jagodina: Fakultet pedagoških nauka Univerziteta u Kragujevcu.
Weinert F. E. & Wagner H. (1987). Die Förderung Hochbegabter in der Bundesrepublik Deutschland: Probleme, Positionen, Perspektiven, Bad Honnef: Bock.
