Financial relationships and dependencies in Czech secondary school mathematics textbooks

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finalni sazba - pdf (English)

Klíčová slova

financial education
financial literacy
functional thinking
relationships and dependencies
inflation
mathematics textbooks financial education
financial literacy
functional thinking
relationships and dependencies
inflation
mathematics textbooks

Jak citovat

Čechák, P. (2023). Financial relationships and dependencies in Czech secondary school mathematics textbooks. Scientia in Educatione, 14(2), 2-19. https://doi.org/10.14712/18047106.3121

Abstrakt

This article analyses and compares Czech secondary school mathematics textbooks designated for vocational schools from the perspective of financial relationships and dependencies. Understanding financial relationships and dependencies, such as inflation or the relationship between the potential return of an investment and its riskiness, play an important role in financial literacy and indeed are implicitly present in the Czech Financial Literacy Standard. Functional thinking is an important prerequisite for understanding financial relationships and dependencies. Moreover, financial topics may be motivating and suitable contexts for developing such thinking. We performed a comparative analysis of four sets of Czech secondary mathematics textbooks designated for vocational schools to evaluate the extent to which their tasks may help pupils gain a deeper understanding of financial relationships and dependencies and develop their functional thinking. Our comparative analyses indicate that these mathematics textbooks do not provide teachers and pupils with opportunities to gain insights into the relationships and dependencies in financial education and fail to fully exploit the potential of the tasks with financial contexts to develop pupils’ functional thinking. The importance of the study lies in its focus on the connection between financial education and functional thinking, a link which has been missing in the literature we are familiar with.

https://doi.org/10.14712/18047106.3121

Reference

Carlson, M., Jacobs, S., Coe, E., Larsen, S., & Hsu, E. (2002). Applying covariational reasoning while modeling dynamic events: A framework and a study. Journal for Research in Mathematics Education, 33(5), 352–378. https://doi.org/10.2307/4149958

Chiappetta, E. L., & Fillman, D.A. (2007). Analysis of five high school biology textbooks used in the United States for inclusion of the nature of science. International Journal of Science Education, 29(15), 1847–1868. https://doi.org/10.1080/09500690601159407

Česká národní banka [CNB] (23. 5. 2023). Upozornění na aktivity subjektu vystupujícího pod názvem B&B PROFIT [Warning against activities of the company B&B PROFIT]. https://www.cnb.cz/cs/dohled-financni-trh/ochrana-spotrebitele/upozorneni/ Upozorneni-na-aktivity-subjektu-vystupujiciho-pod-nazvem-BB-PROFIT/

Česká školní inspekce [CSI] (2014). Mezinárodní šetření PISA 2012: Finanční gramotnost patnáctiletých žáků. [International PISA study PISA 2012: Financial literacy of pupils aged 15 years]. http://www.csicr.cz/html/PISA-FG/resources/ pdfs /Zprava PISA financni gramotnost .pdf

Česká školní inspekce [CSI] (2023). Finanční gramotnost žáků základních škol a výuka finanční gramotnosti na středních školách: Tematická zpráva 2022/2023 [Financial literacy on elementary schools and teaching financial education on secondary schools: Thematic report 2022–2023]. https://www.csicr.cz/CSICR/media/Prilohy/2023 p%c5%99%c3%adlohy/Dokumenty/TZ Financni-gramotnost.pdf

Dubinsky, E., & Wilson, E.T. (2013). High school students’ understanding of the function concept. Journal of Mathematical Behavior, 32, 83–101. https://doi.org/10.1016/j.jmathb.2012.12.001

Eisenmann, P., & Kopáčková, A. (2006). Rozvoj funkčního myšlení ve výuce matematiky na základní škole. [Development of functional thinking in elementary school mathematics]. In Studijní materiály k projektu Podíl učitele matematiky ZŠ na tvorbě ŠVP. JČMF.

Fan, L., Zhu, Y., & Miao, Z. (2013). Textbook research in mathematics education: development status and directions. ZDM – Mathematics Education, 45(5), 633–646. https://doi.org/10.1007/s11858-013-0539-x

Hejný, M. (2012). Exploring the cognitive dimension of teaching mathematics through scheme-oriented approach to education. Orbis scholae, 6(2), 41–55. https://doi.org/10.14712/23363177.2015.39

Hejný, M. (2014). Vyučování matematice orientované na budování schémat: Aritmetika 1. stupně [Teaching mathematics oriented to building schemes: Elementary arithmetic]. PedF UK.

Hitt, F. (1998). Difficulties in the articulation of different representations linked to the concept of function. The Journal of Mathematical Behavior, 17(1), 123–134. https://doi.org/10.1016/S0732-3123(99)80064-9

Jackson, P. (1968). Life in classrooms. Rinehart and Winston.

Johansson, M. (2006). Textbooks as instruments: Three teachers’ ways to organise their mathematics lessons. Nordic Studies in Mathematics Education, 11(3), 5–30. https://ncm.gu.se/wp-content/uploads/2020/06/11 3 005030 johansson.pdf

Kopáčková, A. (2005). Podpora funkčního myšlení žáků 2 [Supporting functional thinking of pupils 2]. Učitel matematiky, 13(4), 193–203.

Lichti, M., & Roth, J. (2019). Functional thinking—A three-dimensional construct? Journal für Mathematik-Didaktik, 40, 169–195. https://doi.org/10.1007/s13138-019-00141-3

Mesa, V. (2004). Characterising practices associated with functions in middle school textbooks An empirical approach. Educational Studies in Mathematics, 56(2), 255–286. https://doi.org/10.1023/B:EDUC.0000040409.63571.56

Ministerstvo financí České republiky [MoF] (2017). Standard finanční gramotnosti 2017 [Standard of financial literacy 2017.]. https://financnigramotnost.mfcr.cz/cs/pro-odborniky/strategicke-dokumenty#standard

Ministerstvo financí České republiky [MoF] (2019). Národní strategie finančního vzdělávání 2.0. Změnou chování k převzetí odpovědnosti za svou finanční prosperitu. [National strategy of financial education 2.0. With the change of behaviour towards responsibility for one’s financial prosperity.] https://financnigramotnost.mfcr.cz/cs/pro-odborniky/strategicke-dokumenty#standard

Mullis, I.V., Martin, M.O., Foy, P., & Arora, A. (2012). TIMSS 2011 international results in mathematics. TIMSS & PIRLS International Study Center. https://timss.bc.edu/timss2011/downloads/T11 IR Mathematics FullBook.pdf

Najvar, P. (2014). Filipika proti finanční gramotnosti aneb o dvou (ne)souvisejících jevech [Argument against financial literacy or talking about two (un)related phenomena]. Pedagogická orientace, 24(5), 811–817. https://doi.org/10.5817/PedOr2014-5-811

Niss, M.A. (2014). Functions learning and teaching. In S. Lerman (Ed.), Encyclopedia of mathematics education (pp. 238–241). Springer. https://doi.org/10.1007/978-94-007-4978-8 96

OECD (2014). PISA 2012 Results: Students and money: Financial literacy skills for the 21st century (Volume VI). OECD Publishing. https://doi.org/10.1787/9789264208094-en

Opletalová, A. (2015). Financial education and financial literacy in the Czech education system. Procedia – Social and Behavioral Sciences, 171, 1176–1184. https://doi.org/10.1016/j.sbspro.2015.01.229

O’Shea, A., Breen, S., & Jaworski, B. (2016). The development of a function concept inventory. International Journal of Research in Undergraduate Mathematics Education, 2(3), 279–296. https://doi.org/10.1007/s40753-016-0030-5

Pang, J. S., & Sunwoo, J. (2022). Design of a pattern and correspondence unit to foster functional thinking in an elementary mathematics textbook. ZDM – Mathematics Education, 54(6), 1315–1331. https://doi.org/10.1007/s11858-022-01411-0

Shield, M., & Dole, S. (2012). Assessing the potential of mathematics textbooks to promote deep learning. Education Studies in Mathematics, 82(2), 183–199. https://doi.org/10.1007/s10649-012-9415-9

Sierpinska, A. (1992). On understanding the notion of function. In G. Harel, & E. Dubinsky (Eds.), The concept of functions: Aspects of epistemology and pedagogy (pp. 25–58). The Mathematical Association of America.

Tall, D., & Bakar, M. (1992). Students’ mental prototypes for functions and graphs. International Journal of Mathematical Education in Science & Technology, 23(1), 39–50. https://doi.org/10.1080/0020739920230105

Tarr, J. E., Chávez, O., Reys, R. E., & Reys, B. J. (2006). From the written to the enacted curricula: The intermediary role of middle school mathematics teachers in shaping students’ opportunity to learn. School Science and Mathematics, 106(4), 191–201. https://doi.org/10.1111/j.1949-8594.2006.tb18075.x

Zenkl, D. (2021). Presentation of combinatorial concepts in mathematics textbooks and its compliance with a concept development theory. Scientia in educatione, 12(1), 37–52. https://doi.org/10.14712/18047106.1938