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Effectiveness of a professional development course based on information and communication technologies on mathematics teachers' skills in designing technology-enhanced task

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Abstract

The purpose of this study is to examine the effect of a professional development course based on information and communication technologies (ICTs) on mathematics teachers' skills in designing technology-enhanced task. A technology-enhanced professional development course for supporting mathematical reasoning is designed, implemented, and evaluated based on this aim. The participants of this study are 17 in-service mathematics teachers. In this study, data are collected from technology-enhanced tasks developed by the participants, dynamic mathematics software files, written documents, and their self-reflections. Both the quantitative and qualitative data are analyzed based on the Dynamic Geometry Task Analysis Framework. As a result of the analysis, it was determined that the professional development course based on ICTs contributed positively to the development of mathematics teachers’ skills in designing technology-enhanced task. After the course based on ICTs, it was revealed that mathematics teachers designed a high-quality task by coordinating the mathematical depth with technological actions and these designed tasks had the potential to develop students’ reasoning. In addition, in this process, the dragging and slider tools are considered specific tools of semiotic mediation contributing to fostering mathematical reasoning through the designed tasks.

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Data availability statements

The datasets generated during and analyzed during the current study are available from the corresponding author on reasonable request.

References

  • Aksu, N., & Zengin, Y. (2022). Disclosure of students’ mathematical reasoning through collaborative technology-enhanced learning environment. Education and Information Technologies, 27(2), 1609–1634. https://doi.org/10.1007/s10639-021-10686-x

    Article  Google Scholar 

  • Arzarello, F., BartoliniBussi, M. G., Leung, A., Mariotti, M. A., & Stevenson, I. (2012). Experimental approach to theoretical thinking: Artefacts and proofs. In G. Hanna & M. De Villers (Eds.), Proof and Proving in Mathematics Education: The 19th ICMI Study (New ICMI Study Series) (pp. 97–137). Springer.

    Chapter  Google Scholar 

  • Baki, A. (2008). Mathematics education from theory into practice. Harf Education Publishing.

    Google Scholar 

  • Boero, P., Garuti, R., & Mariotti, M. A. (1996). Some dynamic mental processes underlying producing and proving conjectures. Proceedings of the 20th conference of the international group for the psychology of mathematics education PME-XX, vol. 2, (pp 121–128). Valencia.

  • Bozkurt, G. (2022). An examination of mathematics teachers’ views and awareness of technology integration in the scope of a technology-based project in mathematics education. MSKU Journal of Education, 9(1), 196–211. https://doi.org/10.21666/muefd.951476

    Article  Google Scholar 

  • Bozkurt, G., & Yiğit-Koyunkaya, M. (2020). From micro-teaching to classroom teaching: an examination of prospective mathematics teachers‟ technology-based tasks. Turkish Journal of Computer and Mathematics Education, 11(3), 668–705. https://doi.org/10.16949/turkbilmat.682568

    Article  Google Scholar 

  • Bråting, K., & Kilhamn, C. (2020). Exploring the intersection of algebraic and computational thinking. Mathematical Thinking and Learning, 23(2), 170–185.

    Article  Google Scholar 

  • Brodie, K. (2009). Teaching mathematical reasoning in secondary school classrooms. Springer Science & Business Media.

    MATH  Google Scholar 

  • Bu, L., Spector, J. M., & Haciomeroglu, E. S. (2011). Toward model-centered mathematics learning and ınstruction using GeoGebra: A theoretical framework for learning mathematics with understanding. In L. Bu & R. Schoen (Eds.), Model-centered learning: pathways to mathematical understanding using GeoGebra (pp. 13–40). Sense Publishers.

    Chapter  Google Scholar 

  • Clarke, D. M., Clarke, D. J., & Sullivan, P. (2012). Reasoning in the Australian Curriculum: Understanding its meaning and using the relevant language. Australian Primary Mathematics Classroom, 17(3), 28–32.

    Google Scholar 

  • Creswell, J. W. (2012). Educational research planning, conducting and evaluating quantitative and qualitative research (4th ed.). Pearson Education Inc.

    Google Scholar 

  • Doğan, M. F. (2019). Opportunities to learn reasoning and proof in eighth-grade mathematics textbook. Inonu University Journal of the Faculty of Education, 20(2), 601–618.

    Google Scholar 

  • Duval, R. (1998). Geometry from a cognitive point of view. In C. Mammana & V. Villani (Eds.), Perspectives on the teaching of geometry for the 21st century (pp. 37–52). Kluwer.

    Google Scholar 

  • Eaton, J. W. (2002). GNU Octave manual. Network Theory Ltd.

    Google Scholar 

  • Ersoy, Y. (2005). Movements for innovations of mathematics educatıon-I: Technology supported mathematics teaching. Turkish Online Journal of Educational Technology, 4(2), 51–63.

    Google Scholar 

  • Falcade, R., Laborde, C., & Mariotti, M. A. (2007). Approaching functions: Cabri tools as instruments of semiotic mediation. Educational Studies in Mathematics, 66(3), 317–333.

    Article  Google Scholar 

  • Field, A. (2009). Discovering statistics using SPSS (3rd ed.). Sage.

    MATH  Google Scholar 

  • Getenet, S. T. (2020). Designing a professional development program for mathematics teachers for effective use of technology in teaching. Education and Information Technologies, 25(3), 1855–1873.

    Article  Google Scholar 

  • Granberg, C., & Olsson, J. (2015). ICT-enhanced problem solving and collaborative creative reasoning: Exploring linear functions using dynamic mathematics software. The Journal of Mathematical Behavior, 37, 48–62.

    Article  Google Scholar 

  • Güven, B., & Kaleli-Yılmaz, G. (2016). Effect of designed in-service training to secondary school mathematics teachers technology usage level. Education and Science, 41(188), 35–66.

    Google Scholar 

  • Hanna, G. (2000). Proof, explanation and exploration: An overview. Educational Studies in Mathematics, 44, 5–23.

    Article  Google Scholar 

  • Hitt, F., & González-Martín, A. (2015). Covariation between variables in a modelling process: The ACODESA (collaborative learning, scientific debate and self-reflexion) method. Educational Studies in Mathematics, 88(2), 201–219.

    Article  Google Scholar 

  • Jeannotte, D., & Kieran, C. (2017). A conceptual model of mathematical reasoning for school mathematics. Educational Studies in Mathematics, 96(1), 1–16.

    Article  Google Scholar 

  • Kieran, C., & Saldanha, L. (2008). Designing tasks for the co-development of conceptual and technical knowledge in CAS activity. In G. W. Blume & M. K. Heid (Eds.), Research on technology and the teaching and learning of mathematics. Vol. 2: Cases and perspectives (pp. 393–414). Information Age Publishing.

    Google Scholar 

  • Knuth, E. (2002). Teachers conceptions of proof in the context of secondary school mathematics. Journal for Research in Mathematics Education, 5(1), 61–88.

    Google Scholar 

  • Lavicza, Z., Weinhandl, R., Prodromou, T., Andic, B., Lieban, D., Hohenwarter, M., Fenyvesi, K., Brownell, C., & Diego-Mantecón, J. M. (2022). Developing and evaluating educational ınnovations for STEAM education in rapidly changing digital technology environments. Sustainability, 14(12), 1–15.

    Article  Google Scholar 

  • Lee, H., Feldman, A., & Beatty, I. D. (2012). Factors that affect science and mathematics teachers’ initial implementation of technology-enhanced formative assessment using a classroom response system. Journal of Science Education and Technology, 21(5), 523–539.

    Article  Google Scholar 

  • Lithner, J. (2008). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67(3), 255–276.

    Article  Google Scholar 

  • Loong, E. Y. K., Vale, C., Herbert, S., Bragg, L. A., & Widjaja, W. (2017). Tracking change in primary teachers’ understanding of mathematical reasoning through demonstration lessons. Mathematics Teacher Education and Development, 19(1), 5–19.

    Google Scholar 

  • Mariotti, M. A. (2009). Artifacts and signs after a Vygotskian perspective: The role of the teacher. ZDM – Mathematics Education, 41(4), 427–440.

  • Mariotti, M. A. (2000). Introduction to proof: The mediation of a dynamic software environment. Educational Studies in Mathematics, 44(1–3), 25–53.

  • Martinovic, D., & Manizade, A. G. (2020). Teachers using GeoGebra to visualize and verify conjectures about trapezoids. Canadian Journal of Science, Mathematics and Technology Education, 20(3), 485–503.

    Article  Google Scholar 

  • McMillan, J., & Schumacher, S. (2010). Research in education: Evidence-based inquiry (7th ed.). Pearson.

    Google Scholar 

  • Mishra, P., & Koehler, M. J. (2007). Technological pedagogical content knowledge (TPCK): Confronting the wicked problems of teaching with technology. In Society for Information Technology & Teacher Education International Conference (pp. 2214–2226). Association for the Advancement of Computing in Education (AACE).

  • Mishra, P., & Koehler, M. J. (2006). Technological pedagogical content knowledge: A framework for integrating technology in teachers’ knowledge. Teachers College Record, 108(6), 1017–1054.

    Article  Google Scholar 

  • National Council of Teachers of Mathematics [NCTM]. (2000). Principles and standards for mathematics. NCTM.

    Google Scholar 

  • Radford, L. (1998). On culture and mind, a post-Vygotskian semiotic perspective, with an example from Greek mathematical thought. Paper presented at the 23rd Annual Meeting of the Semiotic Society of America, Victoria College, University of Toronto, Canada. Retrieved Jan 25, 2019, from http://www.luisradford.ca/pub/102_On_culture_mind2.pdf

  • Radford, L. (2008). Theories in mathematics education: A brief inquiry into their conceptual differences. ICMI 11 Survey team 7: The notion and role of theory in mathematics education research. Retrieved Dec 20, 2018, from http://www.luisradford.ca/pub/31_radfordicmist7_EN.pdf

  • Ross, K. A. (1998). Doing and proving: The place of algorithms and proof in school mathematics. The American Mathematical Monthly, 105(3), 252–255.

    Article  MathSciNet  Google Scholar 

  • Sherman, M. F., Cayton, C., & Chandler, K. (2017). Supporting PSTs in using appropriate tools strategically: A learning sequence for developing technology tasks that support students’ mathematical thinking. Mathematics Teacher Educator, 5(2), 122–157.

    Article  Google Scholar 

  • Sinclair, M. P. (2003). Some implications of the results of a case study for the design of pre-constructed, dynamic geometry sketches and accompanying materials. Educational Studies in Mathematics, 52(3), 289–317.

    Article  Google Scholar 

  • Sinclair, M., Mamolo, A., & Whiteley, W. J. (2011). Designing spatial visual tasks for research: The case of the filling task. Educational Studies in Mathematics, 78(2), 135–163.

    Article  Google Scholar 

  • Smith, M. S., & Stein, M. K. (1998). Selecting and creating mathematical tasks: From research to practice. Mathematics Teaching in the Middle School, 3(5), 344–350.

  • Smith, M. S., & Stein, M. K. (2011). 5 Practices for orchestrating productive mathematics discussion. Reston: National Council of Teachers of Mathematics.

  • Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33(2), 455–488.

    Article  Google Scholar 

  • Tanışlı, D., & YavuzsoyKöse, N. (2020). Etkinlikler yoluyla matematiksel muhakemenin desteklenmesi [Supporting mathematical reasoning through tasks]. In Y. Dede, M. F. Doğan, & F. Aslan Tutak (Eds.), Matematik Eğitiminde Etkinlikler ve Uygulamaları [Tasks and implementation in mathematics education] (pp. 363–394). Pegem Academy Publishing.

    Google Scholar 

  • Thomas, G. B., Weir, M. D., & Hass, J. R. (2010). Thomas Calculus (12th ed.). Pearson Education Inc.

    Google Scholar 

  • Trocki, A., & Hollebrands, K. (2018). The development of a framework for assessing dynamic geometry task quality. Digital Experiences in Mathematics Education, 4(2–3), 110–138.

    Article  Google Scholar 

  • Uygan, C., & Bozkurt, G. (2019). GeoGebra-based scaffolding of a prospective mathematics teacher’s learning while exploring the properties of chord and tangent in circle. Journal of Qualitative Research in Education, 7(4), 1651–1680.

    Article  Google Scholar 

  • Yackel, E., Rasmussen, C., & King, K. (2000). Social and sociomathematical norms in an advanced undergraduate mathematics course. The Journal of Mathematical Behavior, 19(3), 275–287.

    Article  Google Scholar 

  • Zein, M. S. (2016). Professional development needs of primary EFL teachers: Perspectives of teachers and teacher educators. Professional Development in Education, 43(2), 1–21. https://doi.org/10.1080/19415257.2016.1156013

    Article  Google Scholar 

  • Zengin, Y. (2017). The effects of GeoGebra software on preservice mathematics teachers’ attitudes and views toward proof and proving. International Journal of Mathematical Education in Science and Technology, 48(7), 1002–1022. https://doi.org/10.1080/0020739X.2017.1298855

    Article  Google Scholar 

  • Zengin, Y. (2018). Examination of the constructed dynamic bridge between the concepts of differential and derivative with the integration of GeoGebra and the ACODESA method. Educational Studies in Mathematics, 99(3), 311–333. https://doi.org/10.1007/s10649-018-9832-5

    Article  Google Scholar 

  • Zengin, Y. (2019). Development of mathematical connection skills in a dynamic learning environment. Education and Information Technologies, 24(3), 2175–2194. https://doi.org/10.1007/s10639-019-09870-x

    Article  Google Scholar 

  • Zengin, Y. (2021). Students’ understanding of parametric equations in a collaborative technology-enhanced learning environment. International Journal of Mathematical Education in Science and Technology. https://doi.org/10.1080/0020739X.2021.1966848. Advance online publication.

    Article  Google Scholar 

  • Zengin, Y. (2022). Construction of proof of the Fundamental Theorem of Calculus using dynamic mathematics software in the calculus classroom. Education and Information Technologies, 27(2), 2331–2366. https://doi.org/10.1007/s10639-021-10666-1

    Article  MathSciNet  Google Scholar 

  • Zhuang, Y., & Conner, A. (2018). Analysis of teachers’ questioning in supporting mathematical argumentation by integrating Habermas’ rationality and Toulmin’s model. In T. Hodges, G. Roy, & A. Tyminski (Eds.), Proceedings of the 40th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1323–1330). University of South Carolina & Clemson University.

    Google Scholar 

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Acknowledgements

I am grateful to the editors and anonymous reviewers for their valuable comments on this paper. I also thank the Scientific and Technological Research Council of Türkiye (TÜBİTAK) for providing valuable support. In addition, the preliminary results of a part of this study were presented at the 5th International Symposium of Turkish Computer and Mathematics Education (TURCOMAT-5).

Funding

This study was conducted as part of project number 121B307 entitled “Designing technology-supported tasks to improve mathematical reasoning skill” supported by the Scientific and Technological Research Council of Türkiye (TÜBİTAK). Any opinions, findings, and conclusions expressed herein are mine and do not reflect the views of the funding agency.

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  1. Department of Mathematics and Science Education, Ziya Gökalp Faculty of Education, Dicle University, 21280, Diyarbakır, Türkiye

    Yılmaz Zengin

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All procedures performed in studies involving human participants were in accordance with the ethical standards. The ethical committee approval for this study was obtained from the Social Sciences Ethics Committee at Dicle University (Approval Number is 2020/12/09–188220).

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Zengin, Y. Effectiveness of a professional development course based on information and communication technologies on mathematics teachers' skills in designing technology-enhanced task. Educ Inf Technol 28, 16201–16231 (2023). https://doi.org/10.1007/s10639-023-11728-2

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