How Do Teachers Solve Problem With Contradiction Information? Study of Prospective Teachers - Professional Teachers in Solving Problem Using The IDEAL Model

Authors

  • Anas Ma'ruf Annizar UIN Kiai Haji Achmad Siddiq Jember
  • Sunardi Universitas Jember
  • Susanto Universitas Jember
  • Abi Suwito Universitas Jember

DOI:

https://doi.org/10.22460/jiml.v6i4.21623

Keywords:

Problem Solving Ability, Problem with Contradiction Information, Prospective Teachers, IDEAL Model

Abstract

This research is a qualitative descriptive study which aims to describe the problem solving process of a professional teacher in finding solutions to problems of the Problem With Contradiction Information type. This research involved 1 mathematics teacher who had a professional teacher education certificate and had taught for at least 5 years (S1) and 1 mathematics teacher who had taught for at least 5 years but did not yet have a professional teacher education certificate (S2) and 1 prospective teacher who was still carrying out studies. S1 and does not yet have a professional teacher education certificate (S3). Data collection was carried out by tests and interviews. The research results showed that only S3 carried out all the IDEAL problem solving indicators and was the only research subject who realized the existence of contradictions in the given problem. Meanwhile, S1 and S2 do not look back and learn. All subjects started solving the problem by reading and making propositions from the problem given. S3 stated that he read twice, namely reading in depth and reading quickly to review the known data. S1 experienced Pythagorean priming when implementing the Making a Drawing and Backwards strategy. Meanwhile, S2 in implementing the Backwards strategy often has to do some work in his working memory so there are several steps that are not written down. S2 is aware that there is unnecessary data but considers it an open ended question. Meanwhile, S3 succeeded in stating that the question contained elements of contradiction and could not be done in the anticipating outcome and looking back steps. If you want to become a good problem solver then spend most of your time identifying and understanding problems and then determining how to work. Good problem solvers are not in a hurry but are still effective in solving problems. You even need to consider whether the problem can be solved or not.

References

Annizar, A. M., Lestari, A. C., Sofiah, Khairunnisa, G. F., & Maulyda, M. A. (2020). Proses Berpikir Inkuiri dalam Menyelesaikan Masalah Higher Order Thinking Skills (HOTS) ditinjau Dari Tingkat Kognitif. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(4), 1192–1204.

Annizar, A. M., Sofiah, S., Lestari, A. C., Dalimarta, S., & Wulandari, Y. N. (2021). The process of student analytical thinking in understanding and applying lattice method to solve mathematical problem The process of student analytical thinking in understanding and applying lattice method to solve mathematical problem. Journal of Physics: Conference Series, 1836(012047), 1–10. https://doi.org/10.1088/1742-6596/1836/1/012047

Bransford, J. D., & Stein, B. S. (1993). The IDEAL Problem Solver: A Guide for Improving Thinking, Learning, and Creativity (Second Edi). W.H. Freeman and Company.

Brookhart, S. M. (2010). In Your Classroom.

Cockcroft, W. . (1982). Mathematics Counts. Report of the Committee of Inquiry into the Teaching of Mathematics in Schools in England and Wales, ix–311. https://doi.org/10.1093/teamat/8.4.150

Dawkins, P. C., & Epperson, J. A. M. (2014). The development and nature of problem-solving among first-semester calculus students. International Journal of Mathematical Education in Science and Technology, 45(6), 839–862. https://doi.org/10.1080/0020739X.2014.884645

Dewey, J. (1933). How we think: A restatement of relation of reflective thinking and education process. In D.C. Heath and Co. Publishers.

Ernest, P. (2004). The Philosophy of Mathematics Education: Studies in Matehematics Eduacation (This editi). Routledge Falmer: Taylor & Francis Group.

Hacatrjana, L. (2022). Flexibility to Change the Solution: An Indicator of Problem Solving That Predicted 9th Grade Students’ Academic Achievement during Distance Learning, in Parallel to Reasoning Abilities and Parental Education. Journal of Intelligence, 10(7), 1–17. https://doi.org/10.3390/jintelligence10010007

Jäder, J., Lithner, J., & Sidenvall, J. (2020). Mathematical problem solving in textbooks from twelve countries. International Journal of Mathematical Education in Science and Technology, 51(7), 1120–1136. https://doi.org/10.1080/0020739X.2019.1656826

Keleş, T., & Yazgan, Y. (2022). Indicators of gifted students’ strategic flexibility in non-routine problem solving. International Journal of Mathematical Education in Science and Technology, 53(10), 2797–2818. https://doi.org/10.1080/0020739X.2022.2105760

Krulik, S., & Rudnick, J. A. (1988). Problem Solving: A Handbook for Elementary School Teachers. In Allyn and Bacon Inc. Allyn and Bacon Inc.

Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative Data Analysis: A Methods Sourcebook (H. Salmon (ed.); Edition 3). SAGE Publications, Inc.

Nabila, M. B. G., & Mohaffyza, M. M. (2020). Problem Solving Skills based on IDEAL Model in Implementing Undergraduate Final Year Project. Journal of Technology and …, 1(1), 26–33. http://ejournal.jthkkss.com/index.php/jthkkss/article/view/18%0Ahttps://ejournal.jthkkss.com/index.php/jthkkss/article/download/18/26

Olivares, D., Lupiáñez, J. L., & Segovia, I. (2021). Roles and characteristics of problem solving in the mathematics curriculum: a review. International Journal of Mathematical Education in Science and Technology, 52(7), 1079–1096. https://doi.org/10.1080/0020739X.2020.1738579

Polya, G. (1973). How to Solve It: A New Aspect of Mathematical Method. In Princenton Universitu Press. Princenton University Press. http://www.jstor.org/stable/3609122?origin=crossref

Posamentier, A. S., & Krulik, S. (2008). Problem-Solving Strategies for Efficient and Elegant Solutions Grades 6-12: A Resource for the Mathematics Teacher. Corwin Press.

Sidenvall, J., Granberg, C., Lithner, J., & Palmberg, B. (2022). Supporting teachers in supporting students’ mathematical problem solving. International Journal of Mathematical Education in Science and Technology, 1–21. https://doi.org/10.1080/0020739X.2022.2151067

Sternberg, R. J., & Sternberg, K. (2012). Cognitive Psychology. In Cognitive Psychology: Sixth Edition (Sixth Edit). Wadsworth Cengage Learning. https://doi.org/10.4324/9781003312727-25

Subakri, & Annizar, A. M. (2021). The effects of covid-19 in learning : effective and efficient online learning models of mathematical statistics and real analysis from the students ’ perspective The effects of covid-19 in learning : effective and efficient online learning models of mathe. Journal of Physics: Conference Series, 1836(012048), 1742–6596. https://doi.org/10.1088/1742-6596/1836/1/012048

The National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. The National Council of Teachers of Mathematics, Inc.

Toh, P. C., Leong, Y. H., Toh, T. L., Dindyal, J., Quek, K. S., Tay, E. G., & Ho, F. H. (2014). The problem-solving approach in the teaching of number theory. International Journal of Mathematical Education in Science and Technology, 45(2), 241–255. https://doi.org/10.1080/0020739X.2013.822580

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Published

2023-12-05