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The Relationship Between Pre-Service Elementary School Teachers’ Mathematical Literacy Self-Efficacy, Mathematical Modeling Self-Efficacy, and Attitudes

Year 2025, Volume: 12 Issue: 2, 350 - 377
https://doi.org/10.21666/muefd.1658595

Abstract

The aim of the study is to examine the relationship between pre-service elementary school teachers’ mathematical literacy self-efficacy, mathematical modeling self-efficacy and attitudes. The study was conducted with relational survey model, one of the quantitative research designs. The study was conducted with 257 pre-service elementary school teachers’ studying at the 1st, 2nd, 3rd and 4th grade level. The data were collected with the Mathematics Literacy Self-Efficacy Scale, Mathematical Modeling Self-Efficacy Scale and Mathematical Modeling Attitude Scale. Frequency, arithmetic mean, standard deviation and difference tests were used to analyze the data. According to the results obtained, mathematical literacy self-efficacy and mathematical modeling self-efficacy of pre-service elementary school teachers were determined as medium level, and mathematical modeling attitudes were determined as high level. It was determined that pre-service elementary school teachers’ mathematical literacy self-efficacy and mathematical modeling self-efficacy differed significantly according to grade level, but mathematical modeling attitudes did not differ significantly according to grade level. It was determined that there was a positive and moderately significant relationship between pre-service elementary school teachers’ mathematical literacy self-efficacy, mathematical modeling self-efficacy and mathematical modeling attitudes.

References

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  • Albayrak, H. B., & Tarım, K. (2022). Mathematical modelling competencies of pre-service primary school teachers: The time at school. Journal of Theory and Practice in Education,18(2), 95-112. https://doi.org/10.17244/eku.1163414
  • Aldan Karademir, Ç., & Deveci, O. (2019). Primary pre-service teachers’ mathematical language usage in mathematics instruction and mathematical literacy self-efficacy perceptions. Inonu University Journal of the Faculty of Education, 20(3), 695-708. https://doi.org/10.17679/inuefd.419755
  • Altun, M., & Akkaya, R. (2014). Mathematics teachers’ comments on PISA math questions and our country’s students’ low achievement levels. Hacettepe University Journal of Education, 29(1), 19-34.
  • Anderson, R. (2007). Being a mathematics learner: Four faces of identity. The Mathematics Educator, 17, 7-14.
  • Asempapa, R. S. (2015). Mathematical modelling: Essential for primary and middle school students. Journal of Mathematics Education, 8(1), 16-29.
  • Asempapa, R. S. (2019). Development and initial psychometric properties of the mathematical modeling attitude scale. School Science and Mathematics,119, 14-23. https://doi.org/10.1111/ssm.12311
  • Asempapa, R. S., & Brooks, G. P. (2022). Factor analysis and psychometric evaluation of the mathematical modeling attitude scale for teachers of mathematics. Journal of Mathematics Teacher Education, 25(2), 131-161. https://doi.org/10.1007/s10857-020-09482-0
  • Ayvaz Can, A. (2019). Investigation of mathematics literacy self-efficacy levels of pre-service primary teachers. Bolu Abant Izzet Baysal University Journal of Faculty of Education, 19(3), 753-766. https://doi.org/10.17240/aibuefd.2019.19.49440-542414
  • Blomhøj, M., & Jensen, T. H. (2003). Developing mathematical modelling competence: Conceptual clarification and educational planning. Teaching mathematics and its applications, 22(3), 123-139.
  • Blum, W. (2015). Quality teaching of mathematical modelling: What do we know, what can we do? In S. J. Cho (Ed.), Proceedings of the 12th International Congress on Mathematical Education: Intellectual and attitudinal challenges (pp. 73-96). Springer.
  • Blum, W., & Kaiser, G. (1997). Vergleichende empirische Untersuchungen zu mathematischen anwendungsfähigkeiten von englischen und deutschen Lernenden (Comparative empirical studies at mathematical application skills of English and German learners). Unpublished manuscript, German Research Foundation, Bonn, Germany.
  • Büyüköztürk, Ş., Kılıç Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2016). Eğitimde Bilimsel Araştırma Yöntemleri (22. baskı). Pegem Akademi.
  • Carlson, M. A., Wickstrom, M. H., Burroughs, E. A., & Fulton, E. W. (2016). A case for mathematical modeling in the elementary school classroom. In C. R. Hirsch & A. R. McDuffie (Eds.), Mathematical modeling and modeling mathematics (pp. 121-129). National Council of Teachers of Mathematics.
  • Consortium for Mathematics and Its Applications [COMAP] and Society for Industrial and Applied Mathematics [SIAM]. (2016). Guidelines for assessment and instruction in mathematical modeling education. Retrieved from http://www.siam.org/reports/gaimme.php
  • Dellinger, A. B., Bobbett, J. J., Olivier, D. F., & Ellett, C. D. (2008). Measuring teachers’ self-efficacy beliefs: Development and use of the TEBS-Self. Teaching and Teacher Education, 24(3), 751-766. https://doi.org/10.1016/j.tate.2007.02.010
  • Demir, B., Sert Çelik, H., Arı, A. A., & Kaleli Yılmaz, G. (2023). Turkish adaptation of mathematical modeling attitude scale (MMAS). EKEV Akademi Dergisi, 94, 52-65. https://doi.org/10.17753/sosekev.1224724
  • Dinçer, B., Akarsu, E., & Yılmaz, S. (2016). The investigation of perceptions of math literacy self-efficacy and mathematics teaching efficacy belief levels of preservice primary mathematics teachers. Turkish Journal of Computer and Mathematics Education, 7(1), 207-228. https://doi.org/10.16949/turcomat.99884
  • Duran, M., Doruk, M., & Kaplan, A. (2016). Mathematical modeling processes of mathematics teacher candidates: The example of tortoise paradox. Cumhuriyet International Journal of Education-CIJE, 5(4), 55-71.
  • English, L. (2012). Data modelling with first-grade students. Educational Studies in Mathematics, 81(1), 15-30. https://doi.org/10.1007/s10649-011-9377-3
  • English, L. D. (2015). Learning through modelling in the primary years. In N. H. Lee & D. K. E. Ng (Eds.), Mathematical modelling: From theory to practice (pp. 99-124). National Institute of Education. https://doi.org/10.1142/9789814546928_0007
  • Enochs, L., Smith, P. L., & Huinker, D. (2000). Establishing factorial validity of the mathematics teaching efficacy beliefs instrument. School Science and Mathematics, 100(4), 194-202.
  • Erdoğan, F. (2019). Determination of mathematical modeling self-efficacy of pre-service elementary mathematics teachers. Mersin University Journal of the Faculty of Education, 15(1), 118-130. https://doi.org/10.17860/mersinefd.480866
  • Fraenkel, J. R. & Wallen, N. E. (2006). How to design and evaluate research in education McGraw-Hill International Edition.
  • George, D., & Mallery, P. (2019). IBM SPSS statistics 26 step by step: A simple guide and reference. Routledge.
  • Hill, H. C., Schilling, S. G., & Ball, D. L. (2004). Developing measures of teachers’ mathematics knowledge for teaching. The Elementary School Journal, 105, 11-30. https://doi.org/10.1086/428763
  • Kara, S. (2023). İlköğretim matematik öğretmen adaylarının inovatif okuryazarlık düzeyleri ile matematiksel modellemeye yönelik tutum ve öz yeterlik algısı arasındaki ilişkinin incelenmesi [Investigation of the relationship between the innovative literacy levels of primary school mathematics teacher’s levels and the attitude to mathematical modeling and the perception of self-efficiency] (Tez No. 822121) [Master thesis, Kocaeli University-Kocaeli]. Yükseköğretim Kurulu Başkanlığı Tez Merkezi.
  • Karalı, Y. (2022). Investigation of prospective primary teachers’ mathematical literacy and selfefficacy beliefs regarding mathematics teaching. Kahramanmaraş Sütçü İmam University Social Sciences Journal, 19(1), 89-101. https://doi.org/10.33437/ksusbd.1067612
  • Karasar, N. (2020). Bilimsel araştırma yöntemleri (35. Basım). Nobel Akademik Yayıncılık.
  • Korkmaz, E. (2010). İlköğretim matematik ve sınıf öğretmeni adaylarının matematiksel modellemeye yönelik görüşleri ve matematiksel modelleme yeterlikleri [Middle school prospective maths and elementary school prospective teachers’ views about mathematical modelling and their mathematical modelling competency] (Tez No. 275237) [Doctoral thesis, Balıkesir University-Balıkesir]. Yükseköğretim Kurulu Başkanlığı Tez Merkezi.
  • Koyuncu, I., Guzeller, C. O., & Akyuz, D. (2016). The development of a self-efficacy scale for mathematical modeling competencies. International Journal of Assessment Tools in Education, 4(1), 19-36. https://doi.org/10.21449/ijate.256552
  • Lesh, R. A., & Doerr, H. M. (2003). Foundations of a models and modeling perspective on mathematics teaching and learning. In R. A. Lesh, & H. Doerr (Eds.), Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching (pp. 3-34). Lawrence Erlbaum Associates Publishers.
  • Lin, S. W., & Tai, W. C. (2015). Latent class analysis of students mathematics learning strategies and the relationship between learning strategy and mathematical literacy. Universal Journal of Educational Research, 3(6), 390–395. https://doi.org/10.13189/ujer.2015.030606
  • Lingefjard, T. (2004). Assessing engineering student’s modeling skills. https://cdio.org/
  • Ma, X., & Xu, J. (2004). The causal ordering of mathematics anxiety and mathematics achievement: A longitudinal panel analysis. Journal of Adolescence, 27(2), 165-179. https://doi.org/10.1016/j.adolescence.2003.11.003
  • Maaß, K. (2006). What are modelling competencies? ZDM, 38(2), 113-142. https://doi.org/10.1007/BF02655885
  • Malasari, P.N., Herman, T., & Jupri, A. (2017). The construction of mathematical literacy problems for geometry. International Conference on Mathematics and Science Education (ICMScE), 1-7. https://doi.org/10.1088/1742-6596/895/1/012071
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  • National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. Reston, VA: Author.
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  • Ng, (Eds.), Mathematical modelling: From theory to practice içinde (s. 1-19). National Entstitute of Education, Nanyang Technological University, Singapore. https://doi.org/10.1142/9789814546928_0001
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  • Özgen, K., & Bindak, R. (2008). The development of self-efficiacy scale for mathematics literacy. Kastamonu Education Journal, 16(2), 517-528.
  • Pilten, P., Serin, M. K., & Işık, N. (2016). A phenomenological study on classroom teachers’ perceptions about mathematical modeling. Electronic Turkish Studies, 11(3), 1919-1934. http://dx.doi.org/10.7827/TurkishStudies.9514
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Sınıf Öğretmeni Adaylarının Matematik Okuryazarlığı Öz-Yeterlikleri ile Matematiksel Modelleme Öz-Yeterlikleri ve Tutumları Arasındaki İlişki

Year 2025, Volume: 12 Issue: 2, 350 - 377
https://doi.org/10.21666/muefd.1658595

Abstract

Araştırmanın amacı sınıf öğretmeni adaylarının matematik okuryazarlığı öz-yeterlikleri ile matematiksel modelleme öz-yeterlikleri ve tutumları arasındaki ilişkiyi incelemektir. Araştırma nicel araştırma desenlerinden ilişkisel tarama modeli ile gerçekleştirilmiştir. Araştırma birinci, ikinci, üçüncü ve dördüncü sınıf düzeyinde öğrenim gören 257 sınıf öğretmeni adayı ile gerçekleştirilmiştir. Araştırmanın verileri Matematik Okuryazarlığı Öz-Yeterlik Ölçeği, Matematiksel Modelleme Öz-Yeterlik Ölçeği ve Matematiksel Modelleme Tutum Ölçeği ile toplanmıştır. Verilerin analizinde frekans, aritmetik ortalama, standart sapma ve fark testleri kullanılmıştır. Elde edilen sonuçlara göre sınıf öğretmeni adaylarının matematik okuryazarlığı öz-yeterlikleri ve matematiksel modelleme öz-yeterlikleri orta düzeyde, matematiksel modelleme tutumları ise yüksek düzeyde olarak belirlenmiştir. Sınıf öğretmeni adaylarının matematik okuryazarlığı öz-yeterlikleri ve matematiksel modelleme öz-yeterliklerinin sınıf düzeyine göre anlamlı olarak farklılaştığı ancak matematiksel modelleme tutumlarının sınıf düzeyine göre anlamlı olarak farklılaşmadığı belirlenmiştir. Son olarak sınıf öğretmeni adaylarının matematik okuryazarlığı öz-yeterlikleri ile matematiksel modelleme öz-yeterlikleri ve matematiksel modelleme tutumları arasında pozitif yönde ve orta düzeyde anlamlı bir ilişki olduğu belirlenmiştir.

References

  • Akçay, A. O. & Semercioğlu M. S. (2021). Investigation of the relationship between mathematical literacy self-efficiency and financial literacy attitudes and behaviors of primary school teachers. Gümüşhane University Electronic Journal of The Institute of Social Sciences, 12(3), 1223-1233.
  • Albayrak, H. B., & Tarım, K. (2022). Mathematical modelling competencies of pre-service primary school teachers: The time at school. Journal of Theory and Practice in Education,18(2), 95-112. https://doi.org/10.17244/eku.1163414
  • Aldan Karademir, Ç., & Deveci, O. (2019). Primary pre-service teachers’ mathematical language usage in mathematics instruction and mathematical literacy self-efficacy perceptions. Inonu University Journal of the Faculty of Education, 20(3), 695-708. https://doi.org/10.17679/inuefd.419755
  • Altun, M., & Akkaya, R. (2014). Mathematics teachers’ comments on PISA math questions and our country’s students’ low achievement levels. Hacettepe University Journal of Education, 29(1), 19-34.
  • Anderson, R. (2007). Being a mathematics learner: Four faces of identity. The Mathematics Educator, 17, 7-14.
  • Asempapa, R. S. (2015). Mathematical modelling: Essential for primary and middle school students. Journal of Mathematics Education, 8(1), 16-29.
  • Asempapa, R. S. (2019). Development and initial psychometric properties of the mathematical modeling attitude scale. School Science and Mathematics,119, 14-23. https://doi.org/10.1111/ssm.12311
  • Asempapa, R. S., & Brooks, G. P. (2022). Factor analysis and psychometric evaluation of the mathematical modeling attitude scale for teachers of mathematics. Journal of Mathematics Teacher Education, 25(2), 131-161. https://doi.org/10.1007/s10857-020-09482-0
  • Ayvaz Can, A. (2019). Investigation of mathematics literacy self-efficacy levels of pre-service primary teachers. Bolu Abant Izzet Baysal University Journal of Faculty of Education, 19(3), 753-766. https://doi.org/10.17240/aibuefd.2019.19.49440-542414
  • Blomhøj, M., & Jensen, T. H. (2003). Developing mathematical modelling competence: Conceptual clarification and educational planning. Teaching mathematics and its applications, 22(3), 123-139.
  • Blum, W. (2015). Quality teaching of mathematical modelling: What do we know, what can we do? In S. J. Cho (Ed.), Proceedings of the 12th International Congress on Mathematical Education: Intellectual and attitudinal challenges (pp. 73-96). Springer.
  • Blum, W., & Kaiser, G. (1997). Vergleichende empirische Untersuchungen zu mathematischen anwendungsfähigkeiten von englischen und deutschen Lernenden (Comparative empirical studies at mathematical application skills of English and German learners). Unpublished manuscript, German Research Foundation, Bonn, Germany.
  • Büyüköztürk, Ş., Kılıç Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2016). Eğitimde Bilimsel Araştırma Yöntemleri (22. baskı). Pegem Akademi.
  • Carlson, M. A., Wickstrom, M. H., Burroughs, E. A., & Fulton, E. W. (2016). A case for mathematical modeling in the elementary school classroom. In C. R. Hirsch & A. R. McDuffie (Eds.), Mathematical modeling and modeling mathematics (pp. 121-129). National Council of Teachers of Mathematics.
  • Consortium for Mathematics and Its Applications [COMAP] and Society for Industrial and Applied Mathematics [SIAM]. (2016). Guidelines for assessment and instruction in mathematical modeling education. Retrieved from http://www.siam.org/reports/gaimme.php
  • Dellinger, A. B., Bobbett, J. J., Olivier, D. F., & Ellett, C. D. (2008). Measuring teachers’ self-efficacy beliefs: Development and use of the TEBS-Self. Teaching and Teacher Education, 24(3), 751-766. https://doi.org/10.1016/j.tate.2007.02.010
  • Demir, B., Sert Çelik, H., Arı, A. A., & Kaleli Yılmaz, G. (2023). Turkish adaptation of mathematical modeling attitude scale (MMAS). EKEV Akademi Dergisi, 94, 52-65. https://doi.org/10.17753/sosekev.1224724
  • Dinçer, B., Akarsu, E., & Yılmaz, S. (2016). The investigation of perceptions of math literacy self-efficacy and mathematics teaching efficacy belief levels of preservice primary mathematics teachers. Turkish Journal of Computer and Mathematics Education, 7(1), 207-228. https://doi.org/10.16949/turcomat.99884
  • Duran, M., Doruk, M., & Kaplan, A. (2016). Mathematical modeling processes of mathematics teacher candidates: The example of tortoise paradox. Cumhuriyet International Journal of Education-CIJE, 5(4), 55-71.
  • English, L. (2012). Data modelling with first-grade students. Educational Studies in Mathematics, 81(1), 15-30. https://doi.org/10.1007/s10649-011-9377-3
  • English, L. D. (2015). Learning through modelling in the primary years. In N. H. Lee & D. K. E. Ng (Eds.), Mathematical modelling: From theory to practice (pp. 99-124). National Institute of Education. https://doi.org/10.1142/9789814546928_0007
  • Enochs, L., Smith, P. L., & Huinker, D. (2000). Establishing factorial validity of the mathematics teaching efficacy beliefs instrument. School Science and Mathematics, 100(4), 194-202.
  • Erdoğan, F. (2019). Determination of mathematical modeling self-efficacy of pre-service elementary mathematics teachers. Mersin University Journal of the Faculty of Education, 15(1), 118-130. https://doi.org/10.17860/mersinefd.480866
  • Fraenkel, J. R. & Wallen, N. E. (2006). How to design and evaluate research in education McGraw-Hill International Edition.
  • George, D., & Mallery, P. (2019). IBM SPSS statistics 26 step by step: A simple guide and reference. Routledge.
  • Hill, H. C., Schilling, S. G., & Ball, D. L. (2004). Developing measures of teachers’ mathematics knowledge for teaching. The Elementary School Journal, 105, 11-30. https://doi.org/10.1086/428763
  • Kara, S. (2023). İlköğretim matematik öğretmen adaylarının inovatif okuryazarlık düzeyleri ile matematiksel modellemeye yönelik tutum ve öz yeterlik algısı arasındaki ilişkinin incelenmesi [Investigation of the relationship between the innovative literacy levels of primary school mathematics teacher’s levels and the attitude to mathematical modeling and the perception of self-efficiency] (Tez No. 822121) [Master thesis, Kocaeli University-Kocaeli]. Yükseköğretim Kurulu Başkanlığı Tez Merkezi.
  • Karalı, Y. (2022). Investigation of prospective primary teachers’ mathematical literacy and selfefficacy beliefs regarding mathematics teaching. Kahramanmaraş Sütçü İmam University Social Sciences Journal, 19(1), 89-101. https://doi.org/10.33437/ksusbd.1067612
  • Karasar, N. (2020). Bilimsel araştırma yöntemleri (35. Basım). Nobel Akademik Yayıncılık.
  • Korkmaz, E. (2010). İlköğretim matematik ve sınıf öğretmeni adaylarının matematiksel modellemeye yönelik görüşleri ve matematiksel modelleme yeterlikleri [Middle school prospective maths and elementary school prospective teachers’ views about mathematical modelling and their mathematical modelling competency] (Tez No. 275237) [Doctoral thesis, Balıkesir University-Balıkesir]. Yükseköğretim Kurulu Başkanlığı Tez Merkezi.
  • Koyuncu, I., Guzeller, C. O., & Akyuz, D. (2016). The development of a self-efficacy scale for mathematical modeling competencies. International Journal of Assessment Tools in Education, 4(1), 19-36. https://doi.org/10.21449/ijate.256552
  • Lesh, R. A., & Doerr, H. M. (2003). Foundations of a models and modeling perspective on mathematics teaching and learning. In R. A. Lesh, & H. Doerr (Eds.), Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching (pp. 3-34). Lawrence Erlbaum Associates Publishers.
  • Lin, S. W., & Tai, W. C. (2015). Latent class analysis of students mathematics learning strategies and the relationship between learning strategy and mathematical literacy. Universal Journal of Educational Research, 3(6), 390–395. https://doi.org/10.13189/ujer.2015.030606
  • Lingefjard, T. (2004). Assessing engineering student’s modeling skills. https://cdio.org/
  • Ma, X., & Xu, J. (2004). The causal ordering of mathematics anxiety and mathematics achievement: A longitudinal panel analysis. Journal of Adolescence, 27(2), 165-179. https://doi.org/10.1016/j.adolescence.2003.11.003
  • Maaß, K. (2006). What are modelling competencies? ZDM, 38(2), 113-142. https://doi.org/10.1007/BF02655885
  • Malasari, P.N., Herman, T., & Jupri, A. (2017). The construction of mathematical literacy problems for geometry. International Conference on Mathematics and Science Education (ICMScE), 1-7. https://doi.org/10.1088/1742-6596/895/1/012071
  • Ministry of National Education [MNE]. (2024). Elementary school mathematics (grades 1-4) curriculum. Talim Terbiye Başkanlığı Yayınları.
  • National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. Reston, VA: Author.
  • National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common core state standards for mathematics. Washington, DC: Author.Retrieved from http://corestandards.org/assets/CCSSI_Math%20Standards.pdf
  • Ng, K. E. D., & Lee, N. H. (2015). Introduction: mathematical modelling outreach in Singapore. N. H. Lee, & K. E. D.
  • Ng, (Eds.), Mathematical modelling: From theory to practice içinde (s. 1-19). National Entstitute of Education, Nanyang Technological University, Singapore. https://doi.org/10.1142/9789814546928_0001
  • Organisation for Economic Co-operation and Development [OECD]. (2017). PISA 2015 Assessment and analytical framework: Science, reading, mathematic, financial literacy and collaborative problem solving, revised edition. OECD Publishing.
  • Organisation for Economic Co-operation and Development [OECD]. (2019a). PISA 2018 assessment and analytical framework. OECD Publishing.
  • Organisation for Economic Co-operation and Development [OECD]. (2023a). PISA 2022 assessment and analytical framework. OECD Publishing.
  • Organisation for Economic Co-operation and Development [OECD]. (2023b). PISA 2022 results (Volume I): The state of learning and equity in education. OECD Publishing.
  • Özdemir Körkuyu, Z., & Onbaşılı İzgi, Ü. (2025). Determining the mathematic literacy self-efficiency levels and opinions of classroom teacher candidates. Journal of History School, 75, 1599-1637.
  • Özgen, K., & Bindak, R. (2008). The development of self-efficiacy scale for mathematics literacy. Kastamonu Education Journal, 16(2), 517-528.
  • Pilten, P., Serin, M. K., & Işık, N. (2016). A phenomenological study on classroom teachers’ perceptions about mathematical modeling. Electronic Turkish Studies, 11(3), 1919-1934. http://dx.doi.org/10.7827/TurkishStudies.9514
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There are 60 citations in total.

Details

Primary Language English
Subjects Mathematics Education
Journal Section Articles
Authors

H. Beyza Albayrak 0000-0001-5596-5019

Early Pub Date November 3, 2025
Publication Date November 17, 2025
Submission Date March 15, 2025
Acceptance Date August 25, 2025
Published in Issue Year 2025 Volume: 12 Issue: 2

Cite

APA Albayrak, H. B. (2025). The Relationship Between Pre-Service Elementary School Teachers’ Mathematical Literacy Self-Efficacy, Mathematical Modeling Self-Efficacy, and Attitudes. Muğla Sıtkı Koçman Üniversitesi Eğitim Fakültesi Dergisi, 12(2), 350-377. https://doi.org/10.21666/muefd.1658595