TPCK of Mathematics Trainee Teachers: A Comparison using Mahalanobis Distance
DOI:
https://doi.org/10.70232/jrmste.v3i1.57Keywords:
TPCK, Trainee-Teachers, Reliability, RelationshipAbstract
This body of knowledge, known as ‘Technological Pedagogical Content Knowledge (TPCK)’, is essential to teaching both today and in the future. Teachers possess a high degree of knowledge that is based on ‘Pedagogical Knowledge (PK)’, ‘Technological Knowledge (TK)’, ‘Content Knowledge (CK)’, ‘Technological Pedagogical Knowledge (TPK)’, ‘Technological Content Knowledge (TCK)’, and ‘Pedagogical Content Knowledge (PCK)’. This research work was done by collecting data from B.Ed. trainee teachers with mathematics as a method subject in West Bengal, India. The objective of the study is to compare the TPCK knowledge base of mathematics trainee teachers with respect to gender and residence. The descriptive Survey Method is followed. Trainee teachers with mathematics as a method subject from West Bengal, India, are taken as a sample. The TPACK-Math Scale by Önal (2016) is used for this study. Collected data is prepared by using MS Excel, analysed by SPSS 26, JASP 0.18.1, and MATLAB 2021b. Descriptive statistics (Mean, SD, and Covariance) and inferential statistics (Mahalanobis Distance) are used for this study. Calculated value of Mahalanobis Distance between male and female is 0.3417 (<1) and between rural and urban is 0.6625 (<1). There is no significant difference between male vs female and rural vs urban mathematics trainee teachers with respect to ‘TK’, ‘PK’, ‘CK’, ‘TPK’, ‘TCK’, ‘PCK’, ‘CNTK’, and ‘TPCK’. It is concluded that the dynamical nature of the knowledge base considered for the present study is independent of gender and residence of trainee teachers. Possible causes for such a non-significant finding in the educational research context are discussed. A comprehensive interpretation of the inherent limitations is acknowledged, and to overcome these limitations and deepen the understanding of TPCK development in mathematics education, further research is suggested.
References
Adhikari, A. (2023). Application of Mahalanobis distance in education and educational psychology: A mini review. Innovare Journal of Education, 11(4), 5-7. https://doi.org/10.22159/ijoe.2023v11i4.47671
Adhikari, A., Gayen, P., Mahato, R.C., Pal, I., & Sen, S. (2023b). Multi-dimensional data analysis in education: Accumulation and comparison among variables. International Journal of Research Publication and Reviews, 4(5), 2243-2245. https://ijrpr.com/uploads/V4ISSUE5/IJRPR12972.pdf
Adhikari, A., Gayen, P., Sutradhar, A., & Sen, S. (2023a). A measure for measure: Statistics in education. International Journal of Research Publication and Reviews, 4(5), 4239-4243. https://ijrpr.com/uploads/V4ISSUE5/IJRPR13320.pdf
Ahmed, E. A., Banerjee, M., Sen, S., & Chatterjee, P. (2020). Application of Mahalanobis Δ2 on achievement tests on Mathematics: A study on higher secondary level students. Indian Journal of Psychology and Education, 10(1), 36-40.
Ahmed, E. A., Banerjee, M., Sen, S., & Chatterjee, P. (2021). Comparison of achievement of higher secondary subjects among tribal and non-tribal students of Bodoland Territorial Region, Assam, India using Mahalanobis distance. Journal of the Calcutta Mathematical Society, 17(1), 61-66.
Ahmed, E. A., Karim, M. R., Banerjee, M., & Sen, S. (2022b). Comparison of scholastic attainment in English and Math amongst other studies at the higher secondary level: A study using Mahalanobis distance. Educational Administration: Theory and Practice, 28(4), 1-13. https://doi.org/10.17762/kuey.v28i4.469
Ahmed, E. A., Karim, M.R., Banerjee, M., Sen, S., Chatterjee, P., & Mondal, G. (2022a). A comparative study on academic achievement of Mathematics and English with other subjects of secondary level in BTR of Assam, India, using Mahalanobis distance. Education Research International, 2022, 1-10. https://doi.org/10.1155/2022/3669065
Akman, O., & Guven, C. (2015). TPACK survey development study for social sciences teachers and teacher candidates. International Journal of Research in Education and Science, 1(1), 1-10.
Bretscher, N. (2023). Conceptualising TPACK within mathematics education: Teachers’ strategies for capitalising on transitions within and beyond dynamic geometry software. Digital Experiences in Mathematics Education, 9(2), 232–254. https://doi.org/10.1007/s40751-022-00115-0
Brianza, E., Schmid, M., Tondeur, J., & Petko, D. (2022). Situating TPACK: A systematic literature review of context as a domain of knowledge. Contemporary Issues in Technology and Teacher Education, 22(4), 707-753. https://citejournal.org/volume-22/issue-4-22/general/situating-tpack-a-systematic-literature-review-of-context-as-a-domain-of-knowledge/
Bueno, R. W. da S., Lieban, D., & Ballejo, C. C. (2021). Mathematics teachers’ TPACK development based on an online course with GeoGebra. Open Education Studies, 3(1), 110–119. https://doi.org/10.1515/edu-2020-0143
Bulut, A., & Isiksal-Bostan, M. (2019). Perceptions of pre-service elementary mathematicsteachers on their technological pedagogical content knowledge (TPACK) regarding geometry. Journal of Computers in Mathematics and Science Teaching, 38(2), 153-176. https://doi.org/10.70725/726836cjxigx
Chieng, Y. E., & Tan, C. K. (2021). A sequential explanatory investigation of TPACK: Malaysian science teachers’ survey and perspective. International Journal of Information and Education Technology, 11(5), 235–241. https://doi.org/10.18178/ijiet.2021.11.5.1517
Fabian, A., Fütterer, T., Backfisch, I., Lunowa, E., Paravicini, W., Hübner, N., & Lachner, A. (2024). Unraveling TPACK: Investigating the inherent structure of TPACK from a subject-specific angle using test-based instruments. Computers & Education, 217, 105040. https://www.google.com/search?q=https://doi.org/10.1016/j.compedu.2024.105040
Gayen, P., & Sen, S. (2021). A study on technological pedagogical and content knowledge (TPACK) of pre-service language trainee teachers of Bankura and Purulia district of West Bengal. International Journal of Creative Research Thoughts, 9(4), 106-109. https://ijcrt.org/papers/IJCRT2304998.pdf
Gorain, S. C., Adhikari, A., Saha, B., & Sen, S. (2021). A study on internet dependency, social isolation and personality using Mahalanobis distance. EPRA International Journal of Research and Development (IJRD), 6(9), 179-184. https://doi.org/10.36713/epra8471
Groth, R., Spickler, D., Bergner, J., &Bardzell, M. (2009). A qualitative approach to assessing technological pedagogical content knowledge. Contemporary Issues in Technology & Teacher Education, 9(4), 392-411. Retrieved from http://www.citejournal.org/vol9/iss4/mathematics/article1.cfm
Guerrero, S. (2010). Technological Pedagogical Content Knowledge in the Mathematics classroom. Journal of Digital Learning in Teacher Education, 26(4), 132-139. https://doi.org/10.1080/10402454.2010.10784646
Gupta, S. & Jan, A. (2013). Attitude of B.Ed. pupil-teachers of science and arts stream towards creative teaching: A study. International Journal of Advancement in Education and Social Science, 1(1), 36 -11.
Hanifah, U., Budayasa, I. K., & Sulaiman, R. (2025). Technology, pedagogy, and content knowledge in mathematics education: A systematic literature review. Journal of Education and Learning, 19(1), 579–586. https://doi.org/10.11591/edulearn.v19i1.21816
Hsu, L., & Chen, Y. J. (2018). Teachers’ knowledge and competence in the digital age: Descriptive research within the TPACK framework. International Journal of Information and Education Technology, 8(6), 455–458. https://doi.org/10.18178/ijiet.2018.8.6.1081
Kadluba, A., &Obersteiner, A. (2025). How to assess mathematics teachers’ TPACK? A comparison between self-reports and knowledge tests. International Journal of Science and Mathematics Education, 23(3), 663–688. https://doi.org/10.1007/s10763-024-10490-2
Koehler, M. J., & Mishra, P. (2009). What is technological pedagogical content knowledge? Contemporary Issues in Technology and Teacher Education, 9(1), 60-70. https://citejournal.org/volume-9/issue-1-09/general/what-is-technological-pedagogicalcontent-knowledge/
Kumar, S. (2013). Attitude of B.Ed. student-towards creative teaching: A study of science and arts stream teachers. Review of research. Retrieve from https://www.semanticscholar.org/
Mahalanobis, P.C. (1936). On the generalized distance in statistics. Proceedings of the National Institute of Sciences of India, 2(1), 49-55.
Mahato, R. C., & Sen, S. (2021). Application of Mahalanobis distance to determine the dynamical nature of academic stress, self-efficacy in mathematics and anxiety in mathematics. International Journal of Advances in Engineering and Management, 3(5), 1398-1401.
Mahato, R. C., & Sen, S. (2023a). Relationship among Contexts Knowledge (CK1), Technological Pedagogical Content Knowledge (TPCK) and Attitude towards Creative Teaching for pre-service trainee teachers: A study on Mathematics method subject. International Journal of Creative Research Thoughts, 11(4), d301-d314.
Mahato, R. C., & Sen, S. (2023b). A study of Contexts Knowledge (CK1), Technological Pedagogical Content Knowledge (TPCK) and Attitude towards Creative Teaching (ACT) among the pre-service Mathematics trainee teachers in West Bengal, India. Journal of Emerging Technologies and Innovative Research, 10(4), h35-h43.
Mansour, N., Said, Z., Çevik, M., & Abu-Tineh, A. (2024). Science and mathematics teachers’ integration of TPACK in STEM subjects in Qatar: A structural equation modeling study. Education Sciences, 14(10), 1138. https://doi.org/10.3390/educsci14101138
Mishra, P., & Koehler, M. J. (2006). Technological pedagogical content knowledge: A framework for teacher knowledge. Teachers College Record, 108(6), 1017-1054. https://psycnet.apa.org/doi/10.1111/j.1467-9620.2006.00684.x
Mohanta, R., Gayen, P., Pal, I., Mahato, R. C., & Sen, S. (2023a). Comparison among different dimensions of organizational climate of secondary school teachers of West Bengal by Mahalanobis distance. EPRA International Journal of Research and Development, 8(4), 129-133. https://doi. org/10.36713/epra2016
Mohanta, R., Gayen, P., Pal, I., Sutradhar, A., & Sen, S. (2023b). Comparison among different dimensions of institutional commitment of secondary school teachers of West Bengal by Mahalanobis distance. International Research Journal of Modernization in Engineering Technology and Science, 5(4), 4088-4093.
Morales-López, Y., Chacón-Camacho, Y., & Vargas-Delgado, W. (2021). TPACK of prospective mathematics teachers at an early stage of training. Mathematics, 9(15), 1741. https://doi.org/10.3390/math9151741
Niess, M. L., van Zee, E. H., & Gillow-Wiles, H. (2010). Knowledge growth in teaching mathematics/science with spread sheets: Moving PCK to TPACK through online professional development. Journal of Digital Learning in Teacher Education, 27(2), 42-52. https://doi.org/10.1080/21532974.2010.10784657
Önal, N. (2016). Development, validity and reliability of TPACK scale with pre-service Mathematics teachers. International Online Journal of Educational Sciences, 8(2), 93-107. https://doi.org/10.15345/iojes.2016.02.009
Özgün-Koca, A. A., Meagher, M., & Edwards, M. T. (2009; 2010). Pre-service teachers’ emerging TPACK in a technology-rich methods class. The Mathematics Educator, 19(2), 10-20. http://math.coe. uga.edu/TME/issues/v19n2/v19n2_OzgunKoca,%20Meagher,%20&%20Edwards.pdf
Ozudogru, M., & Ozudorgu, F. (2019). Technological pedagogical content knowledge of mathematics teachers and the effect of demographic variables. Contemporary Educational Technology, 10(1), 1-24. https://doi.org/10.30935/cet.512515
Padilla-Escorcia, I. A., García-Rodríguez, M. L., & Aguilar-González, A. (2025). Mathematics teachers’ knowledge in the use of digital technologies for teaching: Insights from the TPCSK instrument. International Electronic Journal of Mathematics Education, 20(4), em0851. https://doi.org/10.29333/iejme/16836
Priyanda, R., Herman, T., Amalia, R., & Ihsan, I. R. (2025). Exploring teachers’ pedagogical reasoning in mathematics education using the TPACK framework. Frontiers in Education, 10, 1552760. https://doi.org/10.3389/feduc.2025.1552760
Raveh, I., Lavie, I., Wagner-Gershgoren, I., Miedijensky, S., Segal, R., & Klemer, A. (2025). Mathematics and science teachers: How their perceptions of their TPACK and use of technology interrelate. EURASIA Journal of Mathematics, Science and Technology Education, 21(1), em2565. https://doi.org/10.29333/ejmste/15803
Santos, J. M., & Castro, R. D. R. (2021). Technological pedagogical content knowledge (TPACK) in action: Application of learning in the classroom by pre-service teachers (PST). Social Sciences & Humanities Open, 3(1), 100110. https://doi.org/10.1016/j.ssaho.2021.100110
Schmidt, M., Brianza, E., & Petko, D. (2021). Self-reported technological pedagogical content knowledge (TPACK) of pre-service teachers in relation to digital technology use in lesson plans. Computers in Human Behavior, 115, 106586. https://doi.org/10.1016/j.chb.2020.106586
Sen, S. & Pal, I. (2020). Mahalanobis distance: A study on achievement of science and mathematics. International Journal of Creative Research Thoughts, 8(7), 2542-2547.
Sen, S. & Samanta, S. (2015a). Content knowledge and pedagogical content knowledge in thesixth grade mathematics textbook of West Bengal board of secondary education. International Journal of Multidisciplinary Educational Research, 4(5(3), 221-231.
Sen, S. & Samanta, S. (2015b). Content knowledge and pedagogical content knowledge in the seventh grade mathematics textbook of West Bengal board of secondary education. International Journal of Multidisciplinary Research and Development, 2(9), 36-40.
Sen, S. & Samanta, S. (2015c). Content knowledge and pedagogical content knowledge in theeighth grade mathematics textbook of West Bengal board of secondary education. Scholarly Research Journal for Interdisciplinary Studies, 3(19), 619-629.
Sen, S. & Samanta, S. (2015d). Content knowledge and pedagogical content knowledge in the ninth grade mathematics textbook of West Bengal board of secondary education. International Journal of Multidisciplinary Research and Development, 2(11), 228-232.
Sen, S. (2016). Content knowledge and pedagogical content knowledge in the tenth grade mathematics textbook of West Bengal board of secondary education. International Journal of Advanced Education and Research, 1(10), 11-17.
Sen, S. (2022). Content knowledge and pedagogical content knowledge in the unit graph of ninth grade mathematics textbook of West Bengal board of secondary education. International Journal of Research Publication and Reviews, 3(1), 877-883.
Sen, S., Gayen, P., Pal, I., Sutradhar, A., Ansary, K., Mahato, R. C., & Adhikari, A. (2023a). Comparison among different leadership styles of head of the institution of West Bengal by Mahalanobis distance. International Research Journal of Modernization in Engineering Technology and Science, 5(4), 5005-5010
Sen, S., Pal, I., & Adhikari, A. (2023b). Comparison among self-efficacy, depression, anxiety and stress of postgraduate students by Mahalanobis distance. International Journal of Advanced Education and Research, 8(1), 85-58.
Setua, C. (2023). Challenges faced by secondary school teachers of West Bengal Board in implementing techno-pedagogy as an innovative process in remote areas. In D. Mridha& S. Bera (Eds.), Innovation in education (pp. 55–67). Crescent Publishing Corporation.
Smiling, J., & Hollebrands, K. (2025). Examining the effect of active participation on the TPACK knowledge of mathematics educators in a teaching mathematics with technology MOOC. International Journal of Educational Research Open, 9, 100469. https://doi.org/10.1016/j.ijedro.2024.100469
Sridana, N., Soeprianto, H., & Amrullah, A. (2024). Analysis of mathematics teaching devices of teachers based on the integration of TPACK (technological, pedagogic and content knowledge). Path of Science, 10(6), 5050–5059. https://www.google.com/search?q=https://doi.org/10.22178/pos.105-18
Sridana, N., Soeprianto, H., & Amrullah, A. (2025). Analysis of TPACK incorporated learning devices: an exploratory descriptive study of mathematics teachers. European Journal of STEM Education, 10(1), 09. https://doi.org/10.20897/ejsteme/16757
Sutradhar, A., Sen, S., Adhikari, A., & Mondal Sutradhar, S. (2023). Self-efficacy, depression, anxiety and stress of university students: a study by Mahalanobis distance. Galore International Journal of Applied Sciences & Humanities, 7(3), 7-15. https://doi.org/10.52403/gijash.20230302
Wahono, B., Hariyadi, S., Subiantoro, A. W., Molina Bravo, J. A., & Manalu, M. S. (2025). Empowering STEM teachers with TPACK: Insights from the DECODE online professional development program. EURASIA Journal of Mathematics, Science and Technology Education, 21(1), em2570. https://doi.org/10.29333/ejmste/15896
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