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Journal : Journal of Mathematics Learning Innovation (JMLI)

The Influence of the Use of Polya's Heuristic Strategies on Students' Mathematical Problem Solving: A Meta Analysis Wahab A, Abdul; Dasari, Dadan; Juandi, Dadang; Syaiful
Journal of Mathematics Learning Innovation Vol 3 No 2 (2024): Journal of Mathematics Learning Innovation
Publisher : Department of Mathematics Education, Faculty of Tarbiyah, Institut Agama Islam Negeri Parepare

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35905/jmlipare.v3i2.10664

Abstract

Mathematics education in Indonesia faces significant challenges, as reflected in the low performance of students in various international assessments. Traditional teaching methods, which are less interactive, are considered one of the key factors contributing to students' low problem-solving abilities in mathematics. This meta-analysis aims to evaluate the impact of Polya's heuristic model on students' mathematical learning outcomes and determine the extent to which this strategy can enhance students' learning abilities compared to conventional teaching methods. The study employs a meta-analytic approach, integrating data from 15 primary studies conducted between 2014 and 2023, and uses statistical analysis to calculate the average effect size of the implementation of Polya's heuristic model in mathematics education. The findings reveal a significant improvement in students' mathematical learning outcomes using Polya's heuristic model, with an average effect size of 1.13, categorized as "very high." The study suggests that the application of Polya's heuristic model is significantly more effective in enhancing students' mathematical learning outcomes than conventional teaching methods. The practical implication is that educators and policymakers in Indonesia could consider adopting this strategy in curricula and teacher training programs to improve the quality of mathematics education.
Defragmenting Struktur Berpikir Pemecahan Masalah Melalui Pemetaan Kognitif Berbasis Teori Polya pada Soal PISA Wahab A, Abdul; Buhaerah; Ahsan, Muhammad; Busrah, Zulfiqar
Journal of Mathematics Learning Innovation Vol 1 No 1 (2022): Journal of Mathematics Learning Innovation
Publisher : Department of Mathematics Education, Faculty of Tarbiyah, Institut Agama Islam Negeri Parepare

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1338.208 KB) | DOI: 10.35905/jmlipare.v1i1.3388

Abstract

Errors in problem solving indicate that there are parts of the cognitive structure that are problematic, either because they are disorganized, disconnected or experiencing cognitive holes. thinking This research uses a qualitative approach. The data analysis technique used refers to the Miles and Huberman analysis model, namely data reduction, data presentation and finally drawing conclusions. The results showed that the three subjects studied were only S1 subjects who were able to answer all the questions given correctly without going through the defragmenting process, this was because the problem-solving thinking structure of the questions was classified as good, this success was supported by the level of cognitive understanding of the prerequisite material for the questions. good. While on the subject of S2, even though the conclusions of the answers already look correct, in one of the questions, it appears that there is an error in thinking which is categorized as pseudo, this error occurs because of the tendency to only pursue similarity questions and do not emphasize understanding mathematical concepts. The defragmenting efforts given are in the form of cognitive conflict interventions, scaffolding–restructuring and scaffolding explaning. While on the subject of S3, the low literacy ability in reading the test questions, as well as understanding the concept of the prerequisite material for the questions, causes errors at all stages of problem solving. The defragmenting efforts given are scaffolding-explaning intervention, scaffolding restructuring, cognitive conflict, scaffolding-review, disequilibration. The lack of knowledge about the prerequisite material so that more emphasis is placed on providing scaffolding-explaning.