Wahab A, Abdul
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Mapping students' thinking structure in solving PISA-like problems: Errors and defragmentation Wahab A, Abdul; Buhaerah, Buhaerah; Ahsan, Muhammad; Busrah, Zulfiqar
Beta: Jurnal Tadris Matematika Vol. 16 No. 2 (2023): Beta November
Publisher : Universitas Islam Negeri (UIN) Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20414/betajtm.v16i2.545

Abstract

[English]: Errors in problem-solving indicate that there is a part of the thinking structure that is problematic, either because it is disorganized, disconnected, or experiencing cognitive holes. This research explores students' thinking structure errors in solving PISA problems and proposes defragmentation efforts to address these issues. The study participants consisted of three high school grade X students with varying abilities high, medium, and low selected through purposive sampling. Data collection involves tests and semi-structured interviews, with triangulation used to ensure data validity. The analysis includes presenting test results and interview transcripts, thorough examination of sheets and transcripts, categorization of thinking structure errors, and elaboration of defragmentation efforts based on problem-solving stages. The study findings identify variations in thinking structure errors and defragmentation strategies among participants. This research shows the importance of teaching with a focus on strengthening understanding of prerequisite concepts, improving reading literacy skills, and diversifying defragmentation approaches, especially in applying scaffolding-explaining strategies, to improve the quality of students' mathematical problem-solving. [Bahasa]: Kesalahan dalam pemecahan masalah menunjukkan bahwa ada bagian struktur berpikir yang bermasalah, baik karena tidak teratur, terputus atau mengalami lubang kognitif. Penelitian ini mengeksplorasi kesalahan struktur berpikir siswa dalam menyelesaikan masalah PISA dan mengusulkan upaya defragmentasi untuk mengatasi masalah tersebut. Partisipan penelitian terdiri dari tiga siswa kelas X SMA dengan kemampuan berbeda-beda, yaitu tinggi, sedang, dan rendah, yang dipilih melalui purposive sampling. Pengumpulan data dilakukan dengan tes dan wawancara semi terstruktur, dengan triangulasi digunakan untuk menjamin keabsahan data. Analisisnya meliputi penyajian hasil tes dan transkrip wawancara, pemeriksaan lembar dan transkrip secara menyeluruh, kategorisasi kesalahan struktur berpikir, dan penjabaran upaya defragmentasi berdasarkan tahapan pemecahan masalah. Temuan penelitian mengidentifikasi variasi kesalahan struktur berpikir dan strategi defragmentasi di antara para peserta. Penelitian ini menunjukkan pentingnya pengajaran dengan fokus pada penguatan pemahaman konsep prasyarat, peningkatan keterampilan literasi membaca, dan diversifikasi pendekatan defragmentasi, khususnya dalam penerapan strategi scaffolding-explaning, untuk meningkatkan kualitas pemecahan masalah matematika siswa.
The Influence of Polya Heuristic Strategies on Students' Mathematical Problem Solving: A Meta Analysis Wahab A, Abdul; Dasari, Dadan; Juandi, Dadang; Syaiful
JOURNAL OF MATHEMATICS LEARNING INNOVATION (JMLI) Vol 3 No 2 (2024): Journal of Mathematics Learning Innovations (JMLI)
Publisher : IAIN 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.