The aim of this study is to adapt the Mathematics Self-Concept Scale developed by Hammoudi (2019) to Turkish culture by conducting validity and reliability studies. It is thought that self-concept is important in terms of seeing students' strengths and weaknesses in mathematics and realizing their belief that they will be successful. The participants of the study consist of 302 students at a vocational school located in western Turkey. The original scale has 20 items and is a 5-point Likert-type scale. The scale has two factors: cognitive and affective. The validation of the adapted two-factor scale was initiated with a focus on linguistic equivalence. This was achieved through a systematic translation and back-translation protocol, supplemented by expert evaluations. The inter-rater reliability, calculated using Cohen’s Kappa coefficient, was κ = .83, demonstrating a high level of consensus among the panel. To evaluate construct validity, Confirmatory Factor Analysis (CFA) was employed. While the original two-factor structure was maintained, three items were excluded due to poor factor loadings. Furthermore, criterion-related validity was supported by significant positive correlations between the cognitive and affective factors (r = .778, p < .001) as well as between the total scale score and cognitive (r = .982) and affective (r = .883) factors. Internal consistency was confirmed via Cronbach’s alpha, yielding a robust coefficient of α = .931 for the composite scale. Consequently, the Turkish adaptation of the instrument is established as a valid and reliable metric for assessing students' mathematics self-concept.
Awan, R., Noureen, G., & Naz, A. (2011). A study of relationship between achievement motivation, self-concept and achievement in English and mathematics at secondary level. International Education Studies, 4(3), 72–79. https://eric.ed.gov/?id=ej1066527
Brislin, R. W. (1970). Back-translation for cross-cultural research. Journal of Cross-Cultural Psychology, 1(3), 185-216. https://doi.org/10.1177/135910457000100301
Bong, M., & Skaalvik, E. M. (2003). Academic self-concept and self-efficacy: How different are they really? Educational Psychology Review, 15(1), 1–40. https://doi.org/10.1023/A:1021302408382
Deniz, K. Z. (2007). Psikolojik ölçme aracı uyarlama. Ankara Üniversitesi Eğitim Bilimleri Fakültesi Dergisi, 40(1), 1-16. http://dx.doi.org/10.1501/Egifak_0000000158
Ding, Y., Klapp, A., & Yang Hansen, K. (2024). The importance of mathematics self-concept and self-efficacy for mathematics achievement: A comparison between public and independent schools in Sweden. Educational Psychology, 1-21. https://doi.org/10.1080/01443410.2024.2410217
Ferla, J., Valcke, M., & Cai, Y. (2009). Academic self-efficacy and academic self-concept: Reconsidering structural relationships. Learning and Individual Differences, 19(4), 499–505. https://doi.org/10.1016/j.lindif.2009.05.004
Field, A. (2005). Discovering Statistics Using SPSS (2nd Ed.). London: Sage Publications.
Goetz, T., Frenzel, A. C., Pekrun, R., Hall, N. C., & Lüdtke, O. (2007). Between-and within-domain relations of students' academic emotions. Journal of educational psychology, 99(4), 715. https://psycnet.apa.org/buy/2007-17712-003
Gürbüztürk, O., & Şad, S. N. (2010). Turkish parental involvement scale: Validity and reliability studies. Procedia-Social and Behavioral Sciences, 2(2), 487-491. https://doi.org/10.1016/j.sbspro.2010.03.049
Hair, J. F., Black, W. C., Babin, B. J., & Anderson, R. E. (2014). Multivariate data analysis (7th Ed.). Pearson Education.
Hammoudi, M. M. (2018). Predictive factors of students’ motivation to succeed in introductory mathematics courses: Evidence from higher education in the UAE. International Journal of Mathematical Education in Science and Technology, 50(5), 647–664. https://doi.org/10.1080/0020739X.2018.1529339
Hammoudi, M. M. (2019). Measurement of students’ mathematics motivation and self-concept at institutions of higher education: evidence of reliability and validity. International Journal of Mathematical Education in Science and Technology, 51(1), 63–86. https://doi.org/10.1080/0020739X.2019.1670369
Heymann, H. W. (2003). Why teach mathematics? A focus on general education. Dordrecht: Springer.
House, J. D. (2000). Academic background and self-beliefs as predictors of student grade performance in science, engineering and mathematics. International Journal of Instructional Media, 27(2), 207. https://www.proquest.com/docview/204274271?pq-origsite=gscholar&fromopenview=true&sourcetype=Scholarly%20Journals
Hu, L. T., & Bentler, P. M. (1995). Structural equation modeling: Concepts, issues and application. Thousand Oaks, CA: Sage.
Kania, N., & Juandi, D. (2023). Does self-concept affect mathematics learning achievement?. Journal of Education and Learning, 17(3), 455-461. https://doi.org/10.11591/edulearn.v17i3.20554
Kinch, J. W. (1963). A formalized theory of the self-concept. American Journal of Sociology, 68(4), 481–486. https://doi.org/10.1086/223404
Kohut, H. (1977). The restoration of the self. New York, NY: International Universities Press.
Landis, J. R., & Koch, G. G. (1977). The measurement of observer agreement for categorical data. Biometrics, 33(1), 159-174. https://doi.org/10.2307/2529310
Marsh, H.W. (1990). The structure of academic self-concept: The Marsh/Shavelson model. Journal of Educational Psychology, 82(4), 623–636. https://psycnet.apa.org/buy/1991-13884-001
Marsh, H.W., R.G. Craven & A. Martin. 2006. What is the nature of self-esteem? Unidimensional and multidimensional perspective. In Self-Esteem: Issues and Answers. M. Kernis, Ed.: 16–25. Psychology Press.
Marsh, H. W., Hau, K. T., Artelt, c., Baumert, J., & Peschar, J. l. (2006). OECD’s brief self-report measure of educational psychology’s most useful affective constructs: cross-cultural, psychometric comparisons across 25 countries. International Journal of Testing, 6(4), 311–360. https://doi.org/10.1207/s15327574ijt0604_1
Murdiyatmoko, J., & Handayani, C. (2004). Sociology 1 (in Indonesian). Grafindo Media.
Niepel, C., Marsh, H. W., Guo, J., Pekrun, R., & Möller, J. (2022). Revealing dynamic relations between mathematics self-concept and perceived achievement from lesson to lesson: An experience-sampling study. Journal of Educational Psychology, 114(6), 1380. https://doi.org/10.1037/edu0000716
O’Mara, A. J., Marsh, H. W., Craven, R. G., & Debus, R. L. (2006). Do Self-Concept Interventions Make a Difference? A Synergistic Blend of Construct Validation and Meta-Analysis. Educational Psychologist, 41(3), 181–206. https://doi.org/10.1207/s15326985ep4103_4
OECD. (2013). PISA 2012 assessment and analytical framework: Mathematics, reading, science, problem solving and financial literacy. Organisation for Economic co-Operation and Development. https://doi.org/10.1787/19963777
Pajares, F., & Miller, M. D. (1994). Role of self-efficacy and self-concept beliefs in mathematical problem solving: A path analysis. Journal of Educational Psychology, 86(2), 193–203. https://doi.org/10.1037/0022-0663.86.2.193
Rosenberg, M. (1979). Conceiving the self. New York, NY: Basic Books.
Shavelson, R. J., & Bolus, R. (1982). Self-concept: The interplay of theory and methods. Journal of Educational Psychology, 74(1), 3–17. https://doi.org/10.1037/0022-0663.74.1.3
Shavelson, R. L., Hubner, J. J., & Stanton, G. C. (1976). Self-concept: Validation of construct interpretations. Review of Education Research, 46, 407–441. https://doi.org/ 10.3102/00346543046003407
Sümer, N. (2000). Yapısal eşitlik modelleri: Temel kavramlar ve örnek uygulamalar. Türk Psikoloji Yazıları, 3(6), 49–74. https://psycnet.apa.org/record/2006-04302-005
Tabachnick, B. G., & Fidel, L. S. (2007). Using Multivariate Statistics. Boston, MA: Pearson Education.
Tanner, H., & Jones, S. (2000). Scaffolding for success: Reflective discourse and the effective teaching of mathematical thinking skills. Research in Mathematics Education, 2(1), 19–32. https://doi.org/10.1080/14794800008520065
Tella, A. (2007). The impact of motivation on student’s academic achievement and learning outcomes in mathematics among secondary school students in Nigeria. Eurasia Journal of Mathematics, Science & Technology Education, 3(2), 149–156. https://doi.org/10.12973/ejmste/75390
Valentine, J. C., DuBois, D. L., & Cooper, H. (2004). The relation between self-beliefs and academic achievement: A meta-analytic review. Educational Psychologist, 39(2), 111–133. https://doi.org/10.1207/s15326985ep3902_3
Wright D. (2009). Mathematics and music. Providence, RI: American Mathematical Society.
Xie, F., Yang, Y., & Xiao, C. (2023). Gender-math stereotypes and mathematical performance: the role of attitude toward mathematics and math self-concept. European Journal of Psychology of Education, 38(2), 695-708. https://doi.org/10.1007/s10212-022-00631-y
Zhang, J., Chiu, M. M., & Lei, H. (2023). Achievement, self‐concept and anxiety in mathematics and English: A thre e‐wave cross‐lagged panel study. British Journal of Educational Psychology, 93(1), 56-72. https://doi.org/10.1111/bjep.12539
Bu araştırmanın amacı Hammoudi (2019) tarafından geliştirilen Matematik Benlik Kavramı Ölçeğinin geçerlik ve güvenirlik çalışmalarının yapılarak Türk kültürüne uyarlanmasıdır. Benlik kavramı ile öğrencilerin matematikte güçlü ve zayıf yönlerinin görülmesi ve aynı zamanda başarılı olacaklarına olan inançlarının fark edilmesi anlamında önemli olduğu düşünülmektedir. Araştırmanın katılımcılarını Türkiye’nin batısında yer alan bir meslek yüksekokulundaki 302 öğrenci oluşturmaktadır. Orijinal ölçekte 20 madde olup 5’li likert tipindedir. Ölçeğin bilişsel ve duyuşsal olmak üzere iki faktörü bulunmaktadır. Uyarlaması yapılan iki faktörlü ölçeğin geçerlik analizi kapsamında dil geçerliğine bakılmıştır. Dil geçerliğine bakabilmek maksadıyla çeviri ve geri çeviri yöntemi uygulanmış ve uzman görüşü alınmıştır. Uzmanlar arasındaki değerlendirici güvenirliği, Cohen's Kappa katsayısı κ = .83 olarak bulunmuş ve bu da yüksek düzeyde bir fikir birliğini göstermiştir. Yapı geçerliği kapsamında doğrulayıcı faktör analizi (DFA) yapılmıştır. DFA sonucunda faktör yapısı korunmuş olmasına karşın ölçekle uyumsuz olduğu görülen üç madde ölçekten çıkarılmıştır. Ölçüt geçerliğinde yapılan korelasyon analizi sonucunda bilişsel faktör ile duyuşsal faktör arasında yüksek düzeyde pozitif bir ilişki olduğu görüşmüştür (r = .778, p < .001). Ayrıca, toplam puan ile bilişsel (r = .982) ve duyuşsal (r = .883) faktörler arasında da yüksek düzeyde anlamlı ilişkiler olduğu görülmüştür. Bunun yanında ölçeğin güvenirliği için iç tutarlılığa bakılmış ve ölçeğin tümünde Cronbach’s alpha değerinin α = .931 olduğu görülmüştür. Bu anlamda ölçeğin Türkçe uyarlamasının öğrencilerin matematik benlik kavramlarını belirlemede hem geçerli hem de güvenilir bir ölçme aracı olduğu sonucu elde edilmiştir.
Awan, R., Noureen, G., & Naz, A. (2011). A study of relationship between achievement motivation, self-concept and achievement in English and mathematics at secondary level. International Education Studies, 4(3), 72–79. https://eric.ed.gov/?id=ej1066527
Brislin, R. W. (1970). Back-translation for cross-cultural research. Journal of Cross-Cultural Psychology, 1(3), 185-216. https://doi.org/10.1177/135910457000100301
Bong, M., & Skaalvik, E. M. (2003). Academic self-concept and self-efficacy: How different are they really? Educational Psychology Review, 15(1), 1–40. https://doi.org/10.1023/A:1021302408382
Deniz, K. Z. (2007). Psikolojik ölçme aracı uyarlama. Ankara Üniversitesi Eğitim Bilimleri Fakültesi Dergisi, 40(1), 1-16. http://dx.doi.org/10.1501/Egifak_0000000158
Ding, Y., Klapp, A., & Yang Hansen, K. (2024). The importance of mathematics self-concept and self-efficacy for mathematics achievement: A comparison between public and independent schools in Sweden. Educational Psychology, 1-21. https://doi.org/10.1080/01443410.2024.2410217
Ferla, J., Valcke, M., & Cai, Y. (2009). Academic self-efficacy and academic self-concept: Reconsidering structural relationships. Learning and Individual Differences, 19(4), 499–505. https://doi.org/10.1016/j.lindif.2009.05.004
Field, A. (2005). Discovering Statistics Using SPSS (2nd Ed.). London: Sage Publications.
Goetz, T., Frenzel, A. C., Pekrun, R., Hall, N. C., & Lüdtke, O. (2007). Between-and within-domain relations of students' academic emotions. Journal of educational psychology, 99(4), 715. https://psycnet.apa.org/buy/2007-17712-003
Gürbüztürk, O., & Şad, S. N. (2010). Turkish parental involvement scale: Validity and reliability studies. Procedia-Social and Behavioral Sciences, 2(2), 487-491. https://doi.org/10.1016/j.sbspro.2010.03.049
Hair, J. F., Black, W. C., Babin, B. J., & Anderson, R. E. (2014). Multivariate data analysis (7th Ed.). Pearson Education.
Hammoudi, M. M. (2018). Predictive factors of students’ motivation to succeed in introductory mathematics courses: Evidence from higher education in the UAE. International Journal of Mathematical Education in Science and Technology, 50(5), 647–664. https://doi.org/10.1080/0020739X.2018.1529339
Hammoudi, M. M. (2019). Measurement of students’ mathematics motivation and self-concept at institutions of higher education: evidence of reliability and validity. International Journal of Mathematical Education in Science and Technology, 51(1), 63–86. https://doi.org/10.1080/0020739X.2019.1670369
Heymann, H. W. (2003). Why teach mathematics? A focus on general education. Dordrecht: Springer.
House, J. D. (2000). Academic background and self-beliefs as predictors of student grade performance in science, engineering and mathematics. International Journal of Instructional Media, 27(2), 207. https://www.proquest.com/docview/204274271?pq-origsite=gscholar&fromopenview=true&sourcetype=Scholarly%20Journals
Hu, L. T., & Bentler, P. M. (1995). Structural equation modeling: Concepts, issues and application. Thousand Oaks, CA: Sage.
Kania, N., & Juandi, D. (2023). Does self-concept affect mathematics learning achievement?. Journal of Education and Learning, 17(3), 455-461. https://doi.org/10.11591/edulearn.v17i3.20554
Kinch, J. W. (1963). A formalized theory of the self-concept. American Journal of Sociology, 68(4), 481–486. https://doi.org/10.1086/223404
Kohut, H. (1977). The restoration of the self. New York, NY: International Universities Press.
Landis, J. R., & Koch, G. G. (1977). The measurement of observer agreement for categorical data. Biometrics, 33(1), 159-174. https://doi.org/10.2307/2529310
Marsh, H.W. (1990). The structure of academic self-concept: The Marsh/Shavelson model. Journal of Educational Psychology, 82(4), 623–636. https://psycnet.apa.org/buy/1991-13884-001
Marsh, H.W., R.G. Craven & A. Martin. 2006. What is the nature of self-esteem? Unidimensional and multidimensional perspective. In Self-Esteem: Issues and Answers. M. Kernis, Ed.: 16–25. Psychology Press.
Marsh, H. W., Hau, K. T., Artelt, c., Baumert, J., & Peschar, J. l. (2006). OECD’s brief self-report measure of educational psychology’s most useful affective constructs: cross-cultural, psychometric comparisons across 25 countries. International Journal of Testing, 6(4), 311–360. https://doi.org/10.1207/s15327574ijt0604_1
Murdiyatmoko, J., & Handayani, C. (2004). Sociology 1 (in Indonesian). Grafindo Media.
Niepel, C., Marsh, H. W., Guo, J., Pekrun, R., & Möller, J. (2022). Revealing dynamic relations between mathematics self-concept and perceived achievement from lesson to lesson: An experience-sampling study. Journal of Educational Psychology, 114(6), 1380. https://doi.org/10.1037/edu0000716
O’Mara, A. J., Marsh, H. W., Craven, R. G., & Debus, R. L. (2006). Do Self-Concept Interventions Make a Difference? A Synergistic Blend of Construct Validation and Meta-Analysis. Educational Psychologist, 41(3), 181–206. https://doi.org/10.1207/s15326985ep4103_4
OECD. (2013). PISA 2012 assessment and analytical framework: Mathematics, reading, science, problem solving and financial literacy. Organisation for Economic co-Operation and Development. https://doi.org/10.1787/19963777
Pajares, F., & Miller, M. D. (1994). Role of self-efficacy and self-concept beliefs in mathematical problem solving: A path analysis. Journal of Educational Psychology, 86(2), 193–203. https://doi.org/10.1037/0022-0663.86.2.193
Rosenberg, M. (1979). Conceiving the self. New York, NY: Basic Books.
Shavelson, R. J., & Bolus, R. (1982). Self-concept: The interplay of theory and methods. Journal of Educational Psychology, 74(1), 3–17. https://doi.org/10.1037/0022-0663.74.1.3
Shavelson, R. L., Hubner, J. J., & Stanton, G. C. (1976). Self-concept: Validation of construct interpretations. Review of Education Research, 46, 407–441. https://doi.org/ 10.3102/00346543046003407
Sümer, N. (2000). Yapısal eşitlik modelleri: Temel kavramlar ve örnek uygulamalar. Türk Psikoloji Yazıları, 3(6), 49–74. https://psycnet.apa.org/record/2006-04302-005
Tabachnick, B. G., & Fidel, L. S. (2007). Using Multivariate Statistics. Boston, MA: Pearson Education.
Tanner, H., & Jones, S. (2000). Scaffolding for success: Reflective discourse and the effective teaching of mathematical thinking skills. Research in Mathematics Education, 2(1), 19–32. https://doi.org/10.1080/14794800008520065
Tella, A. (2007). The impact of motivation on student’s academic achievement and learning outcomes in mathematics among secondary school students in Nigeria. Eurasia Journal of Mathematics, Science & Technology Education, 3(2), 149–156. https://doi.org/10.12973/ejmste/75390
Valentine, J. C., DuBois, D. L., & Cooper, H. (2004). The relation between self-beliefs and academic achievement: A meta-analytic review. Educational Psychologist, 39(2), 111–133. https://doi.org/10.1207/s15326985ep3902_3
Wright D. (2009). Mathematics and music. Providence, RI: American Mathematical Society.
Xie, F., Yang, Y., & Xiao, C. (2023). Gender-math stereotypes and mathematical performance: the role of attitude toward mathematics and math self-concept. European Journal of Psychology of Education, 38(2), 695-708. https://doi.org/10.1007/s10212-022-00631-y
Zhang, J., Chiu, M. M., & Lei, H. (2023). Achievement, self‐concept and anxiety in mathematics and English: A thre e‐wave cross‐lagged panel study. British Journal of Educational Psychology, 93(1), 56-72. https://doi.org/10.1111/bjep.12539
Genç, C. B., & Karamete, A. (2026). Matematik Benlik Kavramı Ölçeğinin Türk Kültürüne Uyarlanması. International Journal of Educational Studies in Mathematics, 13(1), 1-12. https://izlik.org/JA34EK89XR