Examining the impact of teachers’ knowledge on the integration of dynamic mathematics software into constructivist pedagogy
Mailizar Mailizar 1 * , Khairul Umam 1, Elisa Elisa 1
More Detail
1 Universitas Syiah Kuala, Indonesia
* Corresponding Author

Abstract

This study investigates the impact of teachers' knowledge on the integration of dynamic mathematics software into constructivist pedagogy, focusing on pre-service mathematics teachers' use of Mathematics Analysis Software. Using a quantitative research design and a cross-sectional survey, data were collected from 124 lower secondary mathematics teachers during the preliminary phase of the study. The survey, adapted from the Technological Pedagogical Content Knowledge framework, assessed teachers' technological knowledge, content knowledge, pedagogical knowledge, and their intersections, including pedagogical content knowledge, technological content knowledge, technological pedagogical knowledge, and technological pedagogical content knowledge. Teachers' classroom practices with dynamic mathematics software were analyzed at the classroom, task, and subject levels, while their professional development needs were explored through open-ended questions. The findings reveal significant relationships between various Technological Pedagogical Content Knowledge constructs and their influence on classroom practices. Notably, teachers’ integrated knowledge across technology, pedagogy, and content was found to be a strong predictor of their ability to use dynamic mathematics software in classroom, subject, and task-level teaching. However, some relationships, such as content knowledge to technological content knowledge, were not significant. The study highlights the importance of professional development in enhancing teachers' Technological Pedagogical Content Knowledge and their effective use of dynamic mathematics software in constructivist teaching. These findings provide valuable insights for improving mathematics education and inform future research on integrating technology into pedagogy.

Keywords

References

  • Acuyo Cespedes, A. (2025). Pedagogical shifts in the age of GenAI: Faculty perspectives from a higher education context. Journal of Pedagogical Sociology and Psychology, 7(3), 35-48. https://doi.org/10.33902/jpsp.202537244
  • Angeli, C., & Valanides, N. (2009). Epistemological and methodological issues for the conceptualization, development, and assessment of ICT–TPCK: Advances in technological pedagogical content knowledge (TPCK). Computers & Education, 52(1), 154–168. https://doi.org/10.1016/j.compedu.2008.07.006
  • Bakar, K. A., Ayub, A. F. M., & Tarmizi, R. A. (2018). Effectiveness of GeoGebra on students’ understanding of mathematical concepts. International Journal of Emerging Technologies in Learning, 13(5), 139–155. https://doi.org/10.3991/ijet.v13i05.8546
  • Bilgin, S., & Güngören, Ö. C. (2025). A detailed examination of faculty acceptance of artificial intelligence: Insights from key variables. Journal of Pedagogical Sociology and Psychology, 7(3), 64-77. https://doi.org/10.33902/jpsp.202534245
  • Borba, M. C., & Villarreal, M. E. (2005). Humans-with-media and the reorganization of mathematical thinking: Information and communication technologies, modeling, visualization and experimentation. Springer. https://doi.org/10.1007/b105001
  • Borba, M. C., et al. (2024). Mathematics teaching, learning, and assessment in the digital age. ZDM – Mathematics Education, 56, 525-541. https://link.springer.com/article/10.1007/s11858-024-01612-9
  • Cevikbas, M., Greefrath, G., & Siller, H.-S. (2023). Advantages and challenges of using digital technologies in mathematical modelling education – A descriptive systematic literature review. Frontiers in Education, 8, 1142556. https://doi.org/10.3389/feduc.2023.1142556
  • Chai, C. S., Koh, J. H. L., & Tsai, C. C. (2013). A review of technological pedagogical content knowledge. Educational Technology & Society, 16(2), 31–51.
  • Drijvers, P., Doorman, M., Boon, P., Reed, H., & Gravemeijer, K. (2010). The teacher and the tool: Instrumental orchestrations in the technology-rich mathematics classroom. Educational Studies in Mathematics, 75(2), 213–234. https://doi.org/10.1007/s10649-010-9254-5
  • Engelbrecht, J., & Borba, M. C. (2024). Recent developments in using digital technology in mathematics education. ZDM – Mathematics Education, 56, 281–292. https://doi.org/10.1007/s11858-023-01530-2
  • Ertmer, P. A., & Ottenbreit-Leftwich, A. T. (2010). Teacher technology change: How knowledge, confidence, beliefs, and culture intersect. Journal of Research on Technology in Education, 42(3), 255–284. https://doi.org/10.1080/15391523.2010.10782551
  • Ertmer, P. A., & Simons, K. D. (2006). Jumping the hurdles: Barriers to technology integration. Educational Technology, 46(1), 26–30.
  • Fornell, C., & Larcker, D. F. (1981). Evaluating structural equation models with unobservable variables and measurement error. Journal of Marketing Research, 18(1), 39–50.
  • Fraenkel, J. R., Wallen, N. E., & Hyun, H. H. (2011). How to design and evaluate research in education. McGraw-Hill.
  • Hair, J. F., Jr., Matthews, L. M., Matthews, R. L., & Sarstedt, M. (2017). PLS-SEM or CB-SEM: Updated guidelines on which method to use. International Journal of Multivariate Data Analysis, 1(2), 107–123.
  • Hang, N. T. (2024). The role of adoption, ease of use and teachers’ experience of artificial intelligence on teaching effectiveness: Moderating role of student interest. Journal of Pedagogical Research, 8(4), 16-29. https://doi.org/10.33902/JPR.202428342
  • Henseler, J., Ringle, C. M., & Sarstedt, M. (2015). A new criterion for assessing discriminant validity in variance-based structural equation modeling. Journal of the Academy of Marketing Science, 43, 115–135.
  • Hohenwarter, M., Hohenwarter, J., & Lavicza, Z. (2009). Introducing dynamic mathematics software to secondary school teachers: The case of GeoGebra. The Journal of Computers in Mathematics and Science Teaching, 28(2), 135–146.
  • Hoyles, C., & Noss, R. (2009). The technological mediation of mathematics and its learning. Human Development, 52(2), 129–147. https://doi.org/10.1159/000202730
  • Ji, Z., Guo, K., & Song, S. (2024). Effects of dynamic mathematical software on students’ performance: A three-level meta-analysis. Journal of Educational Computing Research, 62(4), 815-840. https://doi.org/10.1177/07356331241226594
  • Jonassen, D. H. (1999). Designing constructivist learning environments. In C. M. Reigeluth (Ed.), Instructional-design theories and models: A new paradigm of instructional theory (pp. 215–239). Lawrence Erlbaum Associates.
  • Koehler, M. J., & Mishra, P. (2009). What is technological pedagogical content knowledge (TPACK)? Contemporary Issues in Technology and Teacher Education, 9(1), 60–70.
  • Koehler, M. J., Mishra, P., & Cain, W. (2013). What is TPACK? In R. Luckin et al. (Eds.), Handbook of technology in education (pp. 101–111). Springer. https://doi.org/10.1007/978-1-4614-3185-5_10
  • Kurnaz, M. A., & Yildiz, A. (2023). Visualizing relative position of two straight lines in space: An exploratory study of the anaglyph in mathematics education. Journal of Pedagogical Research, 7(2), 1–15.
  • Lawless, K. A., & Pellegrino, J. W. (2007). Professional development in integrating technology into teaching and learning: Knowns, unknowns, and ways to pursue better questions and answers. Review of Educational Research, 77(4), 575–614. https://doi.org/10.3102/0034654307309921
  • Li, M., Vale, C., Tan, H., & Blannin, J. (2024). A systematic review of TPACK research in primary mathematics education. Mathematics Education Research Journal, 36, 1–25. https://doi.org/10.1007/s13394-024-00491-3
  • Mishra, P. (2019). Considering contextual knowledge: The TPACK diagram gets an upgrade. Journal of Digital Learning in Teacher Education, 35(2), 76–78. https://doi.org/10.1080/21532974.2019.1588611
  • Mishra, P., & Koehler, M. J. (2006). Technological pedagogical content knowledge: A framework for teacher knowledge. Teachers College Record, 108(6), 1017–1054.
  • Mostert, I., & Clark-Wilson, A. (2016). Teaching and learning mathematics with technology. Cambridge University Press.
  • Niess, M. L. (2005). Preparing teachers to teach science and mathematics with technology: Developing a technology pedagogical content knowledge. Teaching and Teacher Education, 21(5), 509–523. https://doi.org/10.1016/j.tate.2005.03.006
  • Niess, M. L. (2011). Investigating TPACK: Knowledge growth in teaching with technology. Journal of Educational Computing Research, 44(3), 299–317.
  • Pierce, R., & Stacey, K. (2010). Mapping pedagogical opportunities provided by mathematics analysis software. International Journal of Computers for Mathematical Learning, 15(1), 1–20. https://doi.org/10.1007/s10758-010-9168-3
  • Polly, D., Mims, C., Shepherd, C. E., & Inan, F. (2010). Evidence of impact: Transforming teacher education with preparing tomorrow's teachers to teach with technology. Teaching and Teacher Education, 26(4), 863–870. https://doi.org/10.1016/j.tate.2009.10.024
  • Ruthven, K. (2012). The didactical tetrahedron as a heuristic for analyzing the incorporation of digital technologies into classroom practice in support of investigative approaches to teaching mathematics. ZDM, 44(5), 627–640. https://doi.org/10.1007/s11858-012-0449-5
  • Shank, G., & Brown, L. (2013). Exploring educational research literacy. Routledge.
  • Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.
  • Thurm, D., & Barzel, B. (2022). Teaching mathematics with technology: A multidimensional analysis of teacher beliefs. Educational Studies in Mathematics, 109, 41–63. https://doi.org/10.1007/s10649-021-10072-x
  • Tulu, T., Asrat, D., & Tadesse, T. (2024). Challenges in integrating GeoGebra for mathematics instruction in Ethiopian universities. International Journal of Didactical Studies, 5(1), 1–12. https://doi.org/10.33902/ijods.202534086
  • Voogt, J., Fisser, P., Pareja Roblin, N., Tondeur, J., & van Braak, J. (2013). Technological pedagogical content knowledge–A review of the literature. Journal of Computer Assisted Learning, 29(2), 109–121. https://doi.org/10.1111/j.1365-2729.2012.00487.x
  • Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.
  • Weinhandl, R., Lavicza, Z., Hohenwarter, M., & Schallert, S. (2020). Enhancing flipped mathematics education by utilising GeoGebra. International Journal of Education in Mathematics, Science and Technology, 8(1), 1–15. https://doi.org/10.46328/ijemst.v8i1.832
  • Zelkowski, J., Gleason, J., Cox, D. C., & Bismark, S. (2013). Developing and validating a reliable TPACK instrument for secondary mathematics preservice teachers. Journal of Research on Technology in Education, 46(2), 173–206. https://doi.org/10.1080/15391523.2013.10782618
  • Zengin, Y., & Tatar, E. (2017). Integrating dynamic mathematics software into cooperative learning environments in mathematics. Educational Technology & Society, 20(2), 74–88.

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.