Mathematical modelling in the discourses of the KOM and PISA frameworks and teacher interviews

References

• Anderson, L. W., Krathwohl, D. R., Arasian, P. W., Cruikshank, K. A., Mayer, R. E., Pintrich, P. R., Raths, J., & Wittrock, M. C. (2001). A taxonomy for learning, teaching, and assessing: A revision of Bloom’s taxonomy of educational objectives. Pearson. https://www.uky.edu/~rsand1/china2018/texts/Anderson-Krathwohl%20-%20A%20taxonomy%20for%20learning%20teaching%20and%20assessing.pdf
   Google Scholar
• Berget, I. K. L. (2022). Mathematical modelling in textbook tasks and national examination in Norwegian upper secondary school. Nordic Studies in Mathematics Education, 27(1), 51–70. http://ncm.gu.se/wp-content/uploads/2022/02/27_1_051070_berget.pdf
   Google Scholar
• Blum, W. (2002). ICMI study 14: Applications and modelling in mathematics education – discussion document. Educational Studies in Mathematics, 51(1), 149–171. https://doi.org/10.1023/A:1022435827400
   Google Scholar
• Blum, W. (2015). Quality teaching of mathematical modelling: What do we know, what can we do? In S. J. Cho (Ed.), The proceedings of the 12th international congress on mathematical education (pp. 73–96). Springer. https://link.springer.com/chapter/10.1007978-3-319-12688-3_9
   Google Scholar
• Blum, W., & Pollak, H. (2018). Foreword. In R. B. Ferri (Ed.), Learning how to teach mathematical modeling in school and teacher education (pp. vii–viii). Springer.
   Google Scholar
• Boaler, J. (2001). Mathematical modelling and new theories of learning. Teaching Mathematics and Its Applications: International Journal of the IMA, 20(3), 121–128. https://ed.stanford.edu/sites/default/files/mathematical_modelling_and_new_theories_of_learning.pdf https://doi.org/10.1093/teamat/20.3.121
   Google Scholar
• Borromeo Ferri, R. (2018). Learning how to teach mathematical modeling in school and teacher education. Springer.
   Google Scholar
• Botten, G. (2016). Matematikk med mening [Meaningful mathematics]. Caspar forlag.
   Google Scholar
• Breakspear, S. (2012). The policy impact of PISA: An exploration of the normative effects of international benchmarking in school system performance. Organisation for Economic Co-operation and Development. https://www.oecd-ilibrary.org/education/the-policy-impact-of-pisa_5k9fdfqffr28-en
   Google Scholar
• Brown, J. P., & Stillman, G. A. (2017). Developing the roots of modelling conceptions: “Mathematical modelling is the life of the world”. International Journal of Mathematical Education in Science and Technology, 48(3), 353–373. https://doi.org/10.1080/0020739X.2016.1245875
   Web of Science ®Google Scholar
• Bryman, A. (2016). Social research methods (5th ed.). Oxford University Press.
   Google Scholar
• Frejd, P. (2012). Teachers’ conceptions of mathematical modelling at Swedish upper secondary school. Journal of Mathematical Modelling and Application, 1(5), 17–40. https://bu.furb.br/ojs/index.php/modelling/article/download/2772/1917
   Google Scholar
• Ikeda, T. (2015). Applying PISA ideas to classroom teaching of mathematical modelling. In K. Stacey & R. Turner (Eds.), Assessing mathematical literacy (pp. 221–238). Springer. https://doi.org/10.1007/978-3-319-10121-7_11
   Google Scholar
• Jablonka, E., & Bergsten, C. (2010). Theorising in mathematics education research: Differences in modes and quality. Nordisk matematikkdidaktikk, 15(1), 25–52. https://www.diva-portal.org/smash/get/diva2:983080/FULLTEXT01.pdf
   Google Scholar
• Jessen, B. E., & Kjeldsen, T. H. (2021). Mathematical modelling in scientific contexts and in Danish upper secondary education: Are there any relations? Quadrante, 30(2), 37–57. https://quadrante.apm.pt/article/download/23658/19114/105621
   Google Scholar
• Julie, C., & Mudaly, V. (2007). Mathematical modelling of social issues in school mathematics in South Africa. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education: The 14th ICMI study (pp. 503–510). Springer. https://doi.org/10.1007/978-0-387-29822-1_58
   Google Scholar
• Morgan, C., & Sfard, A. (2016). Investigating changes in high-stakes mathematics examinations: A discursive approach. Research in Mathematics Education, 18(2), 92–119. https://doi.org/10.1080/14794802.2016.1176596
   Web of Science ®Google Scholar
• Ng, K. E. D. (2018). Towards a professional development framework for mathematical modelling: The case of Singapore teachers. ZDM Mathematics Education, 50, 287–300. https://doi.org/10.1007/s11858-018-0910-z
   Google Scholar
• Niss, M. (2015). Mathematical competencies and PISA. In K. Stacey, & R. Turner (Eds.), Assessing mathematical literacy: The PISA experience (pp. 35–55). Springer. https://doi.org/10.1007/978-3-319-10121-7_2
   Google Scholar
• Niss, M., & Blum, W. (2020). The learning and teaching of mathematical modelling. Routledge.
   Google Scholar
• Niss, M., & Højgaard, T. (2019). Mathematical competencies revisited. Educational Studies in Mathematics, 102(1), 9–28. https://doi.org/10.1007/s10649-019-09903-9
   Web of Science ®Google Scholar
• Niss, M., & Jensen, T. H. (2002). Kompetencer og matematiklæring [Mathematical competencies]. Undervisningsministeriets forlag.
   Google Scholar
• Norwegian Ministry of Church, Education and Research. (1994). R94: Curriculum for upper secondary. https://www.udir.no/globalassets/upload/larerplaner/felles-allmenne-fag/5/lareplan_matematikk.rtf
   Google Scholar
• Norwegian Ministry of Education and Research. (2013). Mathematics 2P subject curriculum (MAT5-03). https://www.udir.no/kl06/MAT5-03?lplang = http://data.udir.no/kl06/eng
   Google Scholar
• Organisation for Economic Co-operation and Development. (2003). The PISA 2003 assessment framework – Mathematics, reading, science and problem solving knowledge and skills. https://www.oecd.org/education/school/programmeforinternationalstudentassessmentpisa/33694881.pdf
   Google Scholar
• Organisation for Economic Co-operation and Development. (2013). Assessment and analytical framework. Mathematics, reading, science, problem solving and financial literacy. https://www.oecd.org/pisa/pisaproducts/PISA%202012%20framework%20e-book_final.pdf
   Google Scholar
• Organisation for Economic Co-operation and Development. (2018). PISA 2021 mathematics framework (draft). https://pisa2021-maths.oecd.org/files/PISA%202021%20Mathematics%20Framework%20Draft.pdf
   Google Scholar
• Özdemir, E., Üzel, D., & Özsoy, N. (2017). An investigation of teachers’ views on applicability of modeling in mathematics courses. Journal of Education and Training Studies, 5(5), 145–155. https://files.eric.ed.gov/fulltext/EJ1141396.pdf
   Google Scholar
• Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge University Press.
   Google Scholar
• Stacey, K. (2015). The real world and the mathematical world. In K. Stacey & R. Turner (Eds.), Assessing mathematical literacy: The PISA experience (pp. 57–84). Springer. https://doi.org/10.1007/978-3-319-10121-7_3
   Google Scholar
• Stillman, G. A. (2015). Applications and modelling research in secondary classrooms: What have we learnt? In S. J. Cho (Ed.), Selected regular lectures from the 12th international congress on mathematical education (pp. 791–805). Springer. https://doi.org/10.1007/978-3-319-17187-6_44
   Google Scholar
• Thompson, T. (2008). Mathematics teachers’ interpretation of higher-order thinking in Bloom’s taxonomy. International Electronic Journal of Mathematics Education, 3(2), 96–109. https://doi.org/10.29333/iejme/221
   Google Scholar
• Voss, R., & Rickards, T. (2016). Promoting students’ self-directed learning ability through teaching mathematics for social justice. Journal of Education and Practice, 7(26), 77–82. https://files.eric.ed.gov/fulltext/EJ1115850.pdf
   Google Scholar
• Widyastuti, W., & Wijaya, A. P. (2020). Student’s mathematical literacy: Case study in an implementation of PISA type problem-based worksheet context of statistics data of Lampung province. Journal of Physics: Conference Series, 1467(1), Article 012075. https://doi.org/10.1088/1742-6596/1467/1/012075
   Google Scholar
• Zapata-Grajales, F. N., Cano-Velasquez, N. A., & Villa-Ochoa, J. A. (2018). Art and geometry of plants: Experience in mathematical modelling through projects. Eurasia Journal of Mathematics Science and Technology Education, 14(2), 585–603. https://doi.org/10.12973/ejmste/76958
   Web of Science ®Google Scholar
• Zbiek, R. M., & Conner, A. (2006). Beyond motivation: Exploring mathematical modeling as a context for deepening students’ understandings of curricular mathematics. Educational Studies in Mathematics, 63(1), 89–112. https://doi.org/10.1007/s10649-005-9002-4
   Google Scholar