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Analisis Kemampuan Problem Solving Siswa pada Materi Eksponen Melalui PBL Berbasis Polya Rusyda Auliya; Tahir Tahir; Chairuddin Chairuddin; Erfina Erfina
Square : Journal of Mathematics and Mathematics Education Vol. 7 No. 2 (2025)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This study aims to analyze the problem-solving abilities of tenth-grade students at SMAN 1 Lalolae on the topic of exponents after the implementation of problem-based learning (PBL) with reference to Polya’s problem-solving stages. The background of this research is based on the limited number of studies that specifically examine students’ problem-solving skills in exponents through the application of PBL with a Polya-based approach. The research employed a descriptive qualitative method with ten students from SMAN 1 Lalolae selected using purposive sampling, representing high, medium, and low ability categories. Data were collected through problem-solving tasks on exponents and semi-structured interviews, then analyzed using Polya’s indicators, which include understanding the problem, devising a plan, carrying out the plan, and reviewing the solution. The findings indicate that high-ability students were able to solve problems systematically from understanding the problem to obtaining the correct solution, although the evaluation stage was not yet optimal. Medium-ability students were able to write down information and formulas but often struggled in selecting appropriate strategies, resulting in partially incorrect answers. Meanwhile, low-ability students encountered difficulties from the initial stage, demonstrated unclear strategies, and produced incorrect solutions.  The findings suggest the need to develop scaffolding strategies to support students with moderate and low levels of ability. The application of PBL was proven to enhance students’ engagement and problem-solving abilities, although evaluation and reflection aspects still need improvement.
MATHEMATICAL REPRESENTATION IN PROBLEM-SOLVING: A COMPARATIVE STUDY OF REFLECTIVE AND IMPULSIVE COGNITIVE STYLES Rafika Meiliati; Achmad Salido; Aswin Aswin; Dayana Sabila Husain; Chairuddin Chairuddin; Agus Martins
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol. 14 No. 4 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i4.13438

Abstract

Mathematical representation is a crucial skill that enables students to express, interpret, and connect mathematical concepts through visual, symbolic, and verbal forms. This study explores the differences in mathematical representation skills between students with reflective and impulsive cognitive styles in solving two-variable linear inequality system problems. Using a qualitative descriptive approach, four high school students were selected based on their cognitive styles through the Matching Familiar Figure Test (MFFT). Data were collected through problem-solving tasks and semi-structured interviews. The findings indicate that reflective students demonstrate strong mathematical representation abilities, particularly in organizing and translating information across visual, symbolic, and verbal representations. They exhibit a structured and analytical approach to problem-solving, ensuring accuracy and coherence in their representations. In contrast, impulsive students struggle with problem organization, symbolic representation, and verbal explanation, often producing incomplete and less structured representations due to their tendency to prioritize speed over accuracy. These results highlight the influence of cognitive style on mathematical representation and suggest the need for tailored instructional strategies. Future research should expand the study to a broader mathematical scope and implement targeted interventions to enhance students' representation skills according to their cognitive characteristics.
Co-Authors Achmad Salido Ade Riska Sanjani Afzil Ramadian Agus Kurniawan Agus Martins Akbar Nasrum Akob, Bachtiar Al Tasa, Fiza Rauzika Allif Syahputra Bania Amirul Mukminin ANDIKA SAPUTRA Arafah, Burhanuddin Arhita, Siska Arma Wangsa Aswin Aswin Aswin Aswin Ayu Asriani Baharudin Baharudin Bangun, Ahmad Darwin Basri, Teuku Hasan Cut Nuraini Dayana Sabila Husain Dewi Andriani Dian Ulfa Sari Dwi Permatasari Efendi Barus, Efendi Encep Sopandi, Encep Erfina Erfina Erfina, Erfina Fairus, Fairus Farman, Farman Febrian , Fadri Febrian, Fadri Fitri Fitri Fitriyani Hali Fitriyani Hali Fitriyani Hali Fitriyani Hali, Fitriyani Gulton, Jamahir Guntur Arie Wibowo, Guntur Arie Halidin S.Pd., M.PMat Halidin, Halidin Hannani, Nabilah Harry Agusnar Hasrina, Noliza Herlina Herlina Herwanto, Patah Hidayati, Ully Husnaini, Nadia Indra Purnomo Irajuana Haidar Irma Dewi Isda Isra Djabbar Jahring Judijanto, Loso Jumino Suhadi, Jumino Karunia, Karunia La Ode Sirad Manugeren, M Marbun, Roberta Maria Ulfa Marillah, Dima Marniati Marniati Marniati Marniati, Marniati Martins, Agus Meiliati, Rafika Muhammad Fuad Muhammad Reza Muhammad, Dian Najihatul Faridy Nasarudin Nasarudin Nasruddin Nasruddin Nasruddin Nasruddin Nisa Miftachurohmah Nuraini Nuraini Nurliza Lubis Nuzwaty, Nuzwaty Ovan Ovan Perangin Angin, Elsa Sucita PURBA, NORA MARIHOT Purnama Sari, Riezky Rachmawati Rachmawati Rahmah Fithriani Rahmi, Ummi Rahmiati Rahmiati Rahmiati Ramadhan, Nur Ihsan Rayhan Amadius Weihan Ridhonul Rahman Rinda Rini Mastuti Rusyda Auliya Saiful Anwar Matondang Salido, Achmad Sanjani, Ade Riska Sanjaya, Muhammad Arif Sari, Dian Ulfa Sari, Dian Ulfa Sari, Putri Mustika Sarimuddin, Sarimuddin Setiana, Diana sirad, La Ode Sitti Mutia Umasugi Siwi, Purwanto Sufri Mashuri Surlam, Ananda Eka Puspita Susanti, Gemi Syukur, Moh Rezky Tahir Tahir Tahir Tahir Tahir, Tahir Tasni, Nurfaida Tia, Elis Tiara Wilda Purnama Sari Zulida, Evi