Probabilistic Thinking Profile of Mathematics Teacher Candidates in Problem Solving based on Self-Regulated Learning
Many problems in real life are full of uncertainty. Probabilistic thinking is one way to solve this uncertainty problem. The personality abilities tha.
- Pub. date: July 15, 2021
- Pages: 1199-1213
- 367 Downloads
- 469 Views
- 0 Citations
Many problems in real life are full of uncertainty. Probabilistic thinking is one way to solve this uncertainty problem. The personality abilities that are interesting to examine include how independent the students are in facing probabilistic solutions. For this reason, it is necessary to study the probabilistic thinking profile of prospective mathematics teachers in solving probabilistic problems in terms of learning the self-regulation. The research method used in this research is qualitative research. In this study, the researcher conducted an analysis of students' probabilistic thinking with the scope of the probability material related to the sample space, the probability of events, and the probability of the random variable space. The profile of the level of probabilistic thinking is influenced by cognitive factors in the form of probabilistic knowledge obtained by students and personality in the form of self-regulated learning. Student learning self-regulated influences the mental activity in decision making. By studying the profile of probabilistic thinking, students are better prepare to face uncertainty with various aspects that influence it.
Keywords: Probabilistic thinking, problem-solving, self-regulated learning.
References
Amir, G. S., & Williams, J. S. (1999). Cultural influences on children’s probabilistic thinking. Journal of Mathematical Behavior, 18(1), 85–107. https://doi.org/10.1016/s0732-3123(99)00018-8
Batanero, C., Chernoff, E. J., Engel, J., Lee, H. S., & Sánchez, E. (2016). Research on teaching and learnin probability. In ICME-13 Topical Surveys. Springer International Publishing. https://doi.org/10.1007/978-3-319-31625-3_1
Boekaerts, M. (1996). Self-regulated learning at the junction of cognition and motivation. European Psychologist, 1(2), 100–112. https://doi.org/10.1027/1016-9040.1.2.100
Brookhart, S. M. (2010). How to assess higher-order thinking skills in your classroom. ASCD. https://doi.org/10.1177/002205741808801819
Çetin, B. (2017). Metacognition and self-regulated learning in predicting university students’ academic achievement in turkey. Journal of Education and Training Studies, 5(4), 132. https://doi.org/10.11114/jets.v5i4.2233
Corte, E., De Mason, L., Depaepe, F., & Verschaffel, L. (2011). Self-regulation of mathematical knowledge and skills. In B. J. Zimmerman & D. H. Schunk (Eds.), Handbook of Self-Regulation of Learning and Performance (pp.155-172). Routledge/Taylor & Francis Group. https://doi.org/10.4324/9780203839010.ch10
Creswell, J. W. (2014). Research design qualitative, quantitative, and moxed method approaches. SAGE Publications, Inc.
Gorgoz, S., & Tican, C. (2020). Investigation of middle school students’ self-regulation skills and vocabulary learning strategies in foreign language. International Journal of Educational Methodology, 6(1), 25–42. https://doi.org/10.12973/ijem.6.1.25
Groth, R. E., Austin, J. W., Naumann, M., & Rickards, M. (2019). Toward a theoretical structure to characterize early probabilistic thinking. Mathematics Education Research Journal, 33, 241-261. https://doi.org/10.1007/s13394-019-00287-w
Hargis, J. (2000). The self-regulated learner advantage: Learning science on the internet. Electronic Journal of Science Education, 4(4), n4.
Hidayati, K., & Listyani, E. (2010). Pengembangan instrumen kemandirian belajar mahasiswa [Improving instruments of students’ self-regulated learning]. Journal of Educational Research and Evaluation/ Jurnal Penelitian dan Evaluasi Pendidikan, 4(1), 84–99. https://doi.org/10.21831/pep.v14i1.1977
Hodiyanto, H., & Oktaviana, D. (2018). Proses berpikir probabilistik mahasiswa pendidikan matematika ditinjau dari gender di IKIP PGRI Pontianak [The probabilistic thinking process of mathematics education students in terms of gender at IKIP PGRI Pontianak]. Scientific Journal of Mathematics Education/ Jurnal Ilmiah Pendidikan Matematika, 6(2), 109-118. https://doi.org/10.25273/jipm.v6i2.1963
Jan, I., & Amit, M. (2009). A four phase model for predicting the probabilistic situation of compound events. Ben-Gurion University.
Jones, G. A., Langrall, C. W., Thornton, C. A., & Mogill, A. T. (1999). Students’ probabilistic thinking in instruction. Journal for Research in Mathematics Education, 30(5), 487–519. https://doi.org/10.2307/749771
Kerlin, B. (1992). Cognitive engagement style, self regulated learning and cooperative learning. SCRIBD https://id.scribd.com/document/38455667/Cognitive-Engagement-Style
Lestari, N. D. S., Juniati, D., & Suwarsono, S. (2019). The role of prospective mathematics teachers’ knowledge of content and students in integrating mathematical literacy. New Educational Review, 57(3), 151–160. https://doi.org/10.15804/tner.2019.57.3.12
Lim, S. L., & Yeo, K. J. (2021). The relationship between motivational constructs and self- regulated learning. International Journal of Evaluation and Research in Education, 10(1), 330–335. https://doi.org/10.11591/ijere.v10i1.21006
Maher, C. A., & Ahluwalia, A. (2014). Counting as a foundation for learning to reason about probability. In E. J. Chernoff & B. Sriraman (Eds.), Probabilistic thinking: Presenting plural prespectives (p. 559-580). Springer.
Mahyudi. (2017). Proses berpikir probabilistik siswa SMA dalam mengkontruksi konsep permutasi dan kombinasi [Probabilistic thinking process of high school students in constructing permutation and combination concepts]. Edumatica, 7, 55–63.
Malaspina, M., & Malaspina, U. (2020). Game invention as means to stimulate probabilistic thinking. Statistics Education Research Journal, 19(1), 57–72.
Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: an expanded sourcebook (2nd ed). Sage Publication.
Mooney, E. S., Langrall, C. W., & Hertel, J. T. (2014). A practitional perspective on probabilistic thinking models and frameworks. In E. J. Chernoff & B. Sriraman (Eds.), Probabilistic thinking: Presenting plural perspectives (pp. 495–507). Springer.
Nacarato, A. M., & Grando, R. C. (2014). The role of language in building probabilistic thinking. Statistics Education Research Journal, 13(2), 93–103.
Panadero, E. (2017). A review of self-regulated learning: Six models and four directions for research. Frontiers in Psychology, 8, 1–28. https://doi.org/10.3389/fpsyg.2017.00422
Santrock, J. W. (2009). Psikologi pendidikan [Educational psychology] (3rd ed.). Prenada Media Group.
Sharma, S. (2012). Cultural influences in probabilistic thinking. Journal of Mathematics Research, 4(5), 63–77. https://doi.org/10.5539/jmr.v4n5p63
Sharma, S. (2016). Probability from a socio-cultural perspective. Statistics Education Research Journal, 15(2), 126–144.
Shodiqin, A., Sukestiyarno, Y. L., Wardono, W., Isnarto, I., Waluya, S. B., & Rochmad, R. (2020). Mathematical communication profile in solving probability problems reviewed by self-efficacy of prospective mathematics teachers. Universal Journal of Educational Research, 8(10), 4661–4670. https://doi.org/10.13189/ujer.2020.081035
Shodiqin, A., Waluya, S. B., Rochmad, R., & Wardono, W. (2020). Mathematics communication ability in statistica materials based on reflective cognitive style. Journal of Physics: Conference Series, 1511, 012090. https://doi.org/10.1088/1742-6596/1511/1/012090
Sujadi, I. (2010). Tingkat-tingkat berpikir probabilistik siswa sekolah menengah pertama [Junior high school students probabilistic thinking levels]. Universitas Negeri Surabaya. https://eprints.uns.ac.id/id/eprint/1973
Sukestiyarno, Y. (2020). Metode penelitian pendidikan [Educational research methods]. UNNES Press.
Taram, A. (2016). Probabilistic thinking ability of students viewed from their field independent and field dependent cognitive style. Journal of Physics: Conference Series, 824, 012050. https://doi.org/10.1088/1742-6596/755/1/011001
Zimmerman, B. J. (2008). Investigating self-regulation and motivation: Historical background, methodological developments, and future prospects. American Educational Research Journal, 45(1), 166–183. https://doi.org/10.3102/0002831207312909
Zimmerman, B. J., & Schunk, D. H. (2011). Self-regulated learning and performance: An introduction and an overview. In B. J. Zimmerman & D. H. Schunk (Eds.), Handbook of self-regulation of learning and performance (pp.1-12). Routledge.