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Summary:
Several studies indicate that students encounter significant difficulties when determining how to represent or interpret continuous data in a discrete manner and to represent or interpret discrete data in a continuous manner. In this paper, we focus on whether and when pre-service and in-service mathematics teachers represent functional dependence in a continuous or discrete manner. In pursuit of this objective, we employed two tasks from the research tool, which pre-service and in-service teachers solved, and subsequently scrutinized both their solutions and collaborative discussions concerning these tasks.
References:
[1] Acevedo Nistal, A., van Dooren, W., Verschaffel, L.: Improving students’ representational flexibility in linear-function problems: An intervention. (2014). Educational Psychology, 34(6), 763-786. https://doi.org/10.1080/01443410.2013.785064 DOI 10.1080/01443410.2013.785064
[2] Blanton, M., Brizuela, B. M., Gardiner, A. M., Sawrey, K., Newman-Owens, A.: A learning trajectory in 6-year-olds' thinking about generalizing functional relationships. (2015). Journal for Research in Mathematics Education, 46(5), 511-558. https://doi.org/10.5951/jresematheduc.46.5.0511 DOI 10.5951/jresematheduc.46.5.0511
[3] FunThink team: Vision document. (2021). https://www.funthink.eu/fileadmin/__Template/funthink/Downloadbereich/additional_Materials/Vision_Document/Vision_document.pdf
[4] Goldin, G.: A scientific perspective on structures, task-based interviews in mathematics education research. (2000). In R. A. Lesh & A. E. Kelly (Eds.), Research design in mathematics and science education (pp. 517-545). Erlbaum, Hillsdale.
[5] Hecht, T., Černek, P.: Matematika pre 2. ročník gymnázií a SOŠ - Funkcie. (2002). (1. vyd.). Orbis Pictus Istropolitana Bratislava.
[6] Hecht, T.: Matematika pre 3. ročník gymnázií a SOŠ - Funkcie II. (2006). (1. vyd.). Orbis Pictus Istropolitana Bratislava.
[7] Janvier, C.: Teaching the concept of function. (1983). Mathematical Education for Teaching, 4(2), 48-60.
[8] Kerslake, D.: Graphs. In K. M. Hart. (1981). (Ed.), Children's understanding of mathematics concepts: 11–16 (pp. 120-136). John Murray.
[9] Kubáček, Z.: Matematika pre prvý ročník gymnázií, 2. časť. (2010a). Slovenské pedagogické nakladateľstvo - Mladé letá.
[10] Kubáček, Z.: Matematika pre 2. ročník gymnázií a 6. ročník gymnázií s osemročným štúdiom, 2. časť. (2010b). Slovenské pedagogické nakladateľstvo - Mladé letá.
[11] Leinhardt, G., Zaslavsky, O., Stein, M. K.: Functions, graphs, and graphing: Tasks, learning, and teaching. (1990). Review of Educational Research, 60(1), 1-64. DOI 10.3102/00346543060001001
[12] McCulloch, A. W., Lovett, J. N., Meagher, M. S.: Challenging preservice secondary mathematics teachers’ conceptions of function. (2022). Mathematics Education Research Journal, 34, 343-368. https://doi.org/10.1007/s13394-020-00347-6 DOI 10.1007/s13394-020-00347-6
[13] Odvárko, O.: Matematika pre 2. ročník gymnázií. (1985). Slovenské pedagogické nakladateľstvo.
[14] Ostermann, A., Leuders, T., Nückles, M.: Improving the judgment of task difficulties: prospective teachers’ diagnostic competence in the area of functions and graphs. (2018). Journal of Mathematics Teacher Education, 21(6), 579-605. https://doi.org/10.1007/s10857-017-9369-z DOI 10.1007/s10857-017-9369-z
[15] Pittalis, M., Pitta-Pantazi, D., Christou, C.: Young students’ functional thinking modes: The relation between recursive patterning, covariational thinking, and correspondence relations. (2020). Journal for Research in Mathematics Education, 51(5), 631-674. DOI 10.5951/jresematheduc-2020-0164
[16] Ronda, E.: Growth points in linking representations of function: a research-based framework. (2015). Educational Studies in Mathematics, 90, 303-319. https://doi.org/10.1007/s10649-015-9631-1 DOI 10.1007/s10649-015-9631-1
[17] Sebsibe, A. S., Dorra, B. T., Beressa, B. W.: Students' difficulties and misconceptions of the function concept. (2019). International Journal of Research - Granthaalayah, 7(8), 181-196. https://doi.org/10.5281/zenodo.3381160 DOI 10.29121/granthaalayah.v7.i8.2019.656
[18] Slabý, M., Semanišinová, I., Climent, N.: The specialized knowledge of middle school teachers concerning the concept of function. (2022). Annales Universitatis Paedagogicae Cracoviensis Studia Ad Didacticam Mathematicae Pertinentia, 14, 81-101. DOI 10.24917/20809751.14.5
[19] Stein, M. K., Leinhardt, G.: Interpreting graphs: An analysis of early performance and reasoning. (1989). Unpublished manuscript, University of Pittsburgh, Learning Research and Development Center, PA.
[20] Vollrath, H. J.: Search strategies as indicators of functional thinking. (1986). Educational Studies in Mathematics, 17(4), 387-400. DOI 10.1007/BF00311326
[21] Zaslavsky, O., Leikin, R.: Professional development of mathematics teacher educators: growth through practice. (2004). Journal of Mathematics Teacher Education, 7, 5-32. https://doi.org/10.1023/B:JMTE.0000009971.13834.e1 DOI 10.1023/B:JMTE.0000009971.13834.e1
[22] Vavrinčíková, B.: Matematika v dialógoch - Graf funkcie. https://www.galeje.sk/web_object/9442.pdf
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