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Analysis of preservice mathematics teachers’ quantitative problem solving ability in solving PISA based tasks: a polya framework perspective Suratman, Dede; Yusmin, Edy; Meldi, Nadya Febriani; Wahyuningsih, Dian
Al-Jabar: Jurnal Pendidikan Matematika Vol 17 No 1 (2026): Al-Jabar : Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v17i1.30300

Abstract

Purpose: This study aims to analyze the quantitative problem-solving ability of preservice mathematics teachers in solving PISA-based tasks across different contexts and proficiency levels using Polya’s four-stage problem-solving framework. Method: A qualitative descriptive design was employed to examine students’ reasoning processes through written responses and in-depth interviews. The participants were preservice mathematics teachers who had completed most of the core mathematics courses in their teacher education program. The research instrument consisted of three PISA-like tasks representing personal, socio-economic, and scientific contexts with cognitive demands corresponding to PISA Levels 6, 5, and 4. Students’ solutions were analyzed using Polya’s stages: understanding the problem, devising a plan, carrying out the plan, and verifying the solution. Based on their performance, participants were categorized into high, medium, and low groups to identify patterns of reasoning and problem-solving strategies. Findings: The results show that the overall numeracy ability of preservice mathematics teachers remains in the medium–low category with an average score of 44.10 and considerable variation among participants. High-performing students demonstrated stronger abilities in mathematical modeling, proportional reasoning, and variable identification, particularly when solving higher-level PISA tasks. In contrast, students in the medium and low groups relied primarily on procedural calculations with limited conceptual understanding of relational structures and representations. Although many students produced correct answers for Level 4 tasks, their solutions were often procedural rather than conceptually grounded. Significance: The findings indicate a gap between preservice teachers’ current quantitative literacy and the competencies required for PISA-type mathematical problem solving. Strengthening quantitative reasoning through authentic contexts, mathematical modeling, and structured reflection is therefore essential in mathematics teacher education programs.
Analisis Kesalahan Mahasiswa Pada Soal Pohon Rentang Minimum Menggunakan Algoritma Prim dan Kruskal Menurut Teori Newman Sabila, Finanta Diva; Rizki, Ahmad; Lestari, Meli; Anita, Fransiska; T, Ahmad Yani; Meldi, Nadya Febriani
EQUALS: Jurnal Ilmiah Pendidikan Matematika Vol. 8 No. 1 (2025): Kesalahan, Kognisi, dan Pendekatan Kontekstual dalam Pembelajaran Matematika
Publisher : Program Studi Pendidikan Matematika, FKIP Universitas Muslim Maros

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46918/equals.v8i1.2532

Abstract

This study aims to examine the mistakes made by students when solving the minimum range tree problem using the Prim and Kruskal algorithms. This study applies a qualitative descriptive approach, involving 23 students in the fifth semester of the Mathematics Education Study Program, Tanjungpura University Pontianak as research subjects. Data was collected using test, interview, and documentation methods. Data analysis techniques involve stages in the form of data reduction, data presentation, and conclusion drawn.  Furthermore, the data was analyzed based on Newman's theory, which included reading errors, comprehension errors, transformation errors, process skills errors, and answer writing errors. The results of the study revealed that students tended to make reading mistakes most often with a total of 9 errors (47.36%), process skills errors with a total of 4 errors (21.05%), and answer writing errors with a total of 6 errors (31.58%). No misunderstandings and transformations were found. The main causes of errors are lack of focus, inadequate understanding of the concept of prim and crucial algorithms, and lack of precision in working on problems. This research recommends the need for a deeper understanding of the concept of primordial and crucial algorithms, as well as an increase in students' accuracy in reading and rechecking answers.
Analisis Pemahaman Konsep Mahasiswa Dalam Menyelesaikan Soal Desain Simetris Pada Mata Kuliah Matematika Diskrit Habibah, Siti; Fadhilah, Syahwa; Winda Pratama, Nayla; Yusni Arbila, Sahwa; Hidayah, Umi; Yani, Ahmad; Meldi, Nadya Febriani; Mariam, Nuraini
EQUALS: Jurnal Ilmiah Pendidikan Matematika Vol. 8 No. 2 (2025): Inovasi Pembelajaran Matematika Berbasis Teknologi, Kognitif, dan Etnomatematik
Publisher : Program Studi Pendidikan Matematika, FKIP Universitas Muslim Maros

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46918/equals.v8i2.3042

Abstract

Penelitian ini bertujuan menganalisis pemahaman konseptual mahasiswa dalam menyelesaikan masalah terkait desain simetris pada mata kuliah Matematika Diskret dengan menggunakan pendekatan deskriptif kualitatif. Partisipan terdiri atas 22 mahasiswa Program Studi Pendidikan Matematika Universitas Tanjungpura. Instrumen penelitian meliputi tes esai yang terdiri dari satu butir soal dengan dua sub-pertanyaan yang telah divalidasi melalui validitas isi dan validitas butir, serta wawancara semi-terstruktur yang berfungsi mendukung temuan namun tidak melalui proses validasi instrumen. Berdasarkan hasil tes, dua mahasiswa dipilih untuk analisis mendalam mewakili kategori tinggi dan sedang dalam pemahaman konseptual. Data dianalisis menggunakan kerangka Miles dan Huberman yang mencakup reduksi data, penyajian data, dan penarikan kesimpulan, dilengkapi dengan hasil wawancara. Temuan menunjukkan bahwa 72,73% mahasiswa memiliki tingkat pemahaman konseptual yang tinggi, sedangkan 27,27% berada pada kategori sedang. Perbedaan pemahaman tampak dalam kemampuan mahasiswa menyatakan kembali definisi, menjelaskan hubungan antarkomponen parameter desain, serta menerapkan prosedur dalam membangun desain baru. Beberapa mahasiswa menunjukkan penalaran matematis yang terstruktur, sementara yang lain lebih menekankan langkah-langkah prosedural. Hasil ini menegaskan perlunya strategi pembelajaran yang mampu mengintegrasikan pemahaman konseptual dan prosedural, sehingga mahasiswa tidak hanya melakukan perhitungan tetapi juga memahami struktur dan sifat dasar dari desain simetris.
Co-Authors Abnas, Arsweetha Van Ade Mirza Afandi Afandi Agung Hartoyo Agus Winarji Ahmad Rizki, Ahmad ahmad yani Ahmad Yani Ahmad Yani T Anastasia, Witta Andea, Feby Apriliyanti, Ignasia Asep Nursangaji Asri, Sari Devi Awaluddin, Muhammad Risky Nur Bayu Wicaksono Bistari Dede Suratman Dewi, Aisyah Purnama Dian Ahmad Dian Ahmad BS Dian Rahmawati Dian Wahyuningsih Dini Dona Fitriawan Edy Yusmin Eka, Firmina Eka, Firmina Erlina Erlina Erwina Oktavianty Fadhilah, Syahwa Febi Nurdianti Fitri Nurhayati Gunawan, Fransiskus Hendra Gunawan, Fransiskus Hendra Hakim, Djidan Hamdani Hamdani Hamdani Hamdani Hendratmoko, Yayan Karmadi, Lanang Maulana Dwi Khoriyani, Rohmah Pila Lestari, Meli Mahmuda Sumarno Majidah, Rani Maria Celza Gita Vania Mariam, Nuraini Marianus Hengki Marlinda Marlinda Mas Arifin Rasdhakim Mayasari, Eny Metia Novianti mohamad rifat Mohammad Rif`at Nasya Maharani Azis Ningsih, Kurnia noviatni, metia Nur Afni Nur Fadhilah Nuratifah, Stefania Nurfadilah Siregar Nurul Azkiya Pasaribu, Revi Lestari Patmawati Patmawati, Patmawati Permanda, Saul Permanda, Saul Priscilla Josierra Liora Putri, Dita Amanda Rahmah, Annisa Auliya Ramadhan, Akbar Rexy Maulana Dwi Karmadi Rindiani Rustam Sabila, Finanta Diva Sapang, Fransiska Anita Ekawati Rahayu silvia sayu - Siregar, Nur Fadilah Siregar, Nurfadhilah Siregar, Nurfadillah Siti Habibah Sugiatno . Sugiatno Sugiatno Supriyadi, Dede Susanti, Widya T, Ahmad Yani T., Ahmad Yani TOMO Tomo, Tomo Umi Hidayah Wahyu Anggraini, Wahyu Winarji, Agus Winda Pratama, Nayla Yani T, Ahmad Yani. T, Ahmad Yulis Jamiah Yurianti, Syarifah Yusni Arbila, Sahwa Zubaidah R, Zubaidah Zubaidah Zubaidah