Problem Posing in Prospective Primary School Teacher: Perspective Commognitive

Enditiyas Pratiwi, A.Wilda Indra Nanna, Desi Rahmatina, Moh Zayyadi, Muhammad Noor Kholid

Abstract


This research explores the problem-posing abilities of students, especially prospective primary school teachers, which are demonstrated through problem-posing creativity produced through worksheets. In exploring students' problem-posing abilities, descriptive research with a qualitative approach was used. The subjects in the research were prospective primary school teacher students who had taken a number concept course which was chosen based on the problem-posing strategy that emerged after solving the given problem. Furthermore, subjects were interviewed in-depth to find out cognitive by looking at four indicators, namely word use, visual mediator, narrative and routine. The research results showed that there were no subjects with imitation strategies and subjects with reformulation strategies and reconstruction strategies did not give rise to problem-posing using visual mediators. This is because the subject is not used to problem-posing mathematical models in the form of diagrams or symbols.

Full Text:

PDF

References


Ben-Yehuda, M., Lavy, I., Linchevski, L., & Sfard, A. (2005). Doing wrong with words: What bars students’ access to arithmetical discourses. Journal for Research in Mathematics Education, 36(3), 176–247. https://doi.org/10.2307/30034835

Brown, S., & Walter, M. (2005). The art of problem posing. Lawrence Erlbaum.

Cai, J., Chen, T., Li, X., Xu, R., Zhang, S., Hu, Y., Zhang, L., & Song, N. (2019). Exploring the impact of a problem-posing workshop on elementary school mathematics teachers’ conceptions on problem posing and lesson design. International Journal of Educational Research, 102, 01404. https://doi.org/10.1016/j.ijer.2019.02.004

Cai, J., & Hwang, S. (2021). Teachers as redesigners of curriculum to teach mathematics through problem-posing: conceptualization and initial findings of a problem ‑ posing project. ZDM – Mathematics Education, 53(6), 1406–1416. https://doi.org/10.1007/s11858-021-01252-3

Cai, J., Hwang, S., Jiang, C., Silber, S., Hansen, R., Hana, G. M., Milinkovic, J., Abramovich, S., Cho, E. K., Ellerton, N. F., & Singer, F. M. (2015). Mathematical Problem Posing (F.M. Singer, N. F. Ellerton, & J. Cai (eds.)). Springer New York Heidelberg Dordrecht London.

Chapman, O. (2012). Prospective elementary school teachers’ ways of making sense of mathematical problem solving. PNA, 6(4), 135–146.

Ge, X., & Land, S. M. (2004). A conceptual framework for scaffolding III-structured problem- solving processes using question prompts and peer interactions. Educational Technology Research and Development, 52(2), 5–22. https://doi.org/10.1007/bf02504836

Indiati, I., Supandi, S., Ariyanto, L., & Kusumaningsih, W. (2021). The effectiveness of the problem-posing method based on android applications in mathematics learning. Ilkogretim Online-Elementary Education Online, 20(1), 1440–1450. https://doi.org/10.17051/ilkonline.2021.01.137

Jia, S., & Yao, Y. (2021). 70 Years of problem posing in Chinese primary mathematics textbooks. ZDM – Mathematics Education, 53(4), 951–960. https://doi.org/10.1007/s11858-021-01284-9

Kadir, Adelina, R., & Fatma, M. (2018). Enhancing students’ mathematical problem posing skill through writing in performance tasks strategy. Journal of Physics: Conference Series, 012022.

Kaya, D. (2016). Elementary Mathematics Teachers’ Perceptions and Lived Experiences on Mathematical Communication. Eurasia Journal of Mathematics, Science & Technology Education, 12(6), 1619–1629. https://doi.org/10.12973/eurasia.2014.1203a

Kojima, K., Miwa, K., & Matsui, T. (2011). Study on the Effects of Learning Examples through Production in Problem Posing. Proceedings of the 19th International Conference on Computers in Education.

Mahlaba, S. C., & Mudaly, V. (2022). Exploring the relationship between commognition and the Van Hiele theory for studying problem-solving discourse in Euclidean geometry education. Pythagoras-Journal the Association for Mathematics Education of South Africa, 43(1), 1–11.

Muhtarom, M., Shodiqin, A., & Astriani, N. (2020). Exploring senior high school student’s abilities in mathematical problem posing. Journal of Research and Advances in Mathematics Education, 5(1), 69–79. https://doi.org/10.23917/jramathedu.v5i1.9818

Olson, J. C., & Knott, L. (2013). When a problem is more than a teacher’s question. Educ Stud Math, 83, 27–36. https://doi.org/10.1007/s10649-012-9444-4

Passarella, S. (2021). Mathematics Teachers’ Inclusion of Modelling and Problem Posing in Their Mathematics Lessons: An Exploratory Questionnaire. European Journal of Science and Mathematics Education, 9(2), 43–56.

Rosli, R., Goldsby, D., & Capraro, M. M. (2013). Assessing students’ mathematical problem- solving and problem-posing skills. Asian Social Science, 9(16), 54–60. https://doi.org/10.5539/ass.v9n16p54

Sfard, A. (2008). Thinking As Communicating Human Development, The Growth of Discourse, and Mathematizing.

Silver, E. A., & Cai, J. (2005). Assessing students’ mathematical problem posing. Teaching Children Mathematics, 12, 129–135. https://doi.org/10.5951/TCM.12.3.0129

Stoyanova, E. (2005). Problem-posing strategies used by years 8 and 9 students. Australian Mathematics Teacher, 61(3), 6–11.

Suarsana, I. M., Lestari, I. A. P. D., & Mertasari, N. M. S. (2019). The Effect of Online Problem Posing on Students’ Problem-Solving Abilitiy in Mathematics. International Journal of Instruction, 12(1), 809–820.

Viirman, O. (2015). Explanation, motivation and question posing routines in university mathematics teachers’ pedagogical discourse: a commognitive analysis. International Journal of Mathematical Education in Science and Technology, 46(8), 1165–1181. https://doi.org/10.1080/0020739X.2015.1034206

Zhang, H., & Cai, J. (2021). Teaching mathematics through problem-posing: insights from an analysis of teaching cases. ZDM – Mathematics Education, 53(4), 961–973. https://doi.org/10.1007/s11858-021-01260-3




DOI: https://doi.org/10.33365/jm.v6i2.4212

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.


Creative Commons License

Articles in Jurnal Mathema are licensed under a Creative Commons Attribution-ShareAlike 4.0 International Licenseslot raffi ahmadgacor4dhttps://jurnal.usk.ac.id/lib/pkp/sbobet88/robopragmalapak cheatturbox1000akun pro jepangsensorgacorscatter hitamyosi88 yosi88 yosi88 yosi88 yosi88 yosi88 hit88 hit88 hit88 hit88 hit88https://elijo.umpwr.ac.id/pages/idnslot/