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Analysis of Probabilistic Critical Thinking Skills of Students with High Mathematical Resilience

Kreano, Jurnal Matematika Kreatif-Inovatif · Vol. 17 No. 1 (2026) · hlm. 143–155

DOI
10.15294/kreano.v17i1.47103
ISSN
2442-4218, 2086-2334
Terbit
2026-06-30
Penerbit
UNNES JOURNAL
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nc-sa/4.0

Abstrak

Probabilistic critical thinking skills are essential for students to master. Previous studies have generally examined mathematical critical thinking based on cognitive abilities, resulting in a gap in the literature regarding how students’ profiles of probabilistic critical thinking are viewed from an affective perspective, namely, mathematical resilience. The purpose of this study is to analyze the probabilistic critical thinking skills of students with high mathematical resilience. This study is a qualitative research conducted on students of the Mathematics Education Study Program, Faculty of Mathematics and Natural Sciences, Semarang State University, with the research subjects being students of the Mathematics Education Bachelor's Program, Faculty of Mathematics and Natural Sciences, Semarang State University, in the second semester of the 2024/2025 academic year. There were three research subjects with high mathematical resilience. Data collection was conducted through tests, interviews, and questionnaires. Data were analyzed using: (1) data reduction; (2) data display; and (3) conclusion drawing/verification, while data validity was determined through triangulation, namely by comparing test results with interview results, as well as comparing the results of the research subjects. The results of this study indicate that the probabilistic critical thinking ability of subjects with high resilience meets the indicators of focus, situation, inference, and overview. However, they are still unable to meet the indicators of reason and clarity. The suggestion is that students need reinforcement in giving reasons for each step in problem-solving, as well as in providing further explanations when concluding. Theoretically, these findings enrich the literature on probabilistic critical thinking by integrating the affective dimension of mathematical resilience. Practically, these results serve as a guide for educators in designing learning interventions explicitly aimed at training students to articulate their reasoning and clarify their conclusions. Abstrak Kemampuan berpikir kritis probabilistik merupakan kemampuan esensial yang harus dikuasai mahasiswa. Kajian terdahulu umumnya meneliti berpikir kritis matematis berdasarkan kemampuan kognitif, sehingga terdapat kesenjangan literatur mengenai bagaimana profil berpikir kritis probabilistik mahasiswa ditinjau dari aspek afektif, yaitu ketangguhan matematis. Tujuan dalam penelitian ini adalah menganalisis kemampuan berpikir kritis probabilistik mahasiswa dengan resiliensi matematis tinggi. Penelitian ini merupakan penelitian kualitatif yang dilaksanakan pada mahasiswa program studi Pendidikan Matematika FMIPA Universitas Negeri Semarang, dengan subjek penelitian mahasiswa Program Studi Sarjana Pendidikan Matematika Fakultas Matematika dan Ilmu pengetahuan Alam Universitas Negeri Semarang semester dua tahun perkuliahan 2024/2025. Subjek penelitian sebanyak tiga mahasiswa dengan resiliensi matematis tinggi. Pengambilan data melalui tes, wawancara, dan angket. Data dianalisis menggunakan: (1) data reduction; (2) data display; dan (3) conclusion drawing/verification, sedangkan keabsahan data dilakukan melalui triangulasi yaitu membandingkan hasil tes dengan hasil wawancara, serta membandingkan hasil subjek-subjek penelitian. Hasil penelitian ini menunjukkan kemampuan berpikir kritis probabilistik subjek dengan resilisensi tinggi mampu memenuhi indikator focus, situation, inference, overview. Sedangkan untuk indikator reason dan clarity masih belum mampu. Saran yang diberikan perlu adanya penguatan mahasiswa dalam memberi alasan dalam setiap langkah dalam memecahkan masalah, serta dalam memberi penjelasan lebih lanjut dalam membuat kesimpulan. Secara teoretis, temuan ini memperkaya literatur berpikir kritis probabilistik dengan mengintegrasikan dimensi afektif ketangguhan matematis. Secara praktis, hasil ini menjadi panduan bagi pendidik untuk merancang intervensi pembelajaran secara eksplisit untuk melatih mahasiswa dalam mengartikulasikan alasan dan memperjelas kesimpulan.

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  • State University of Semarang
  • Yogyakarta State University
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Rekan penulisOrganisasiArtikel bersama
Rochmad RochmadState University of Semarang7
Ary Woro KurniasihState University of Semarang5
Masrukan MasrukanState University of Semarang3
Mashuri MashuriState University of Semarang3
Mulyono MulyonoState University of Semarang2
Muhammad KharisState University of Semarang2
Muhammad Zuhair ZahidState University of Semarang2
Rembulan Permata OctaliaState University of Semarang2
Marissa Nada AlyaniState University of Semarang1
St. Budi WaluyaAfiliasi tidak diketahui1
Scolastika MarianiState University of Semarang1
Annisa Salma ZakiyyahState University of Semarang1
Fitri Novita SariState University of Semarang1
Zuyun KhoiriyahState University of Semarang1
Rani AnggrainiState University of Semarang1
Sugiman SugimanYogyakarta State University1
Ahmad Ijlal AbdikaState University of Semarang1
Meli SeptianaState University of Semarang1
Ratih KusumawatiState University of Semarang1
Wuryanto WuryantoState University of Semarang1
Hardi SuyitnoState University of Semarang1
Ula Himatul AliyahState University of Semarang1
Puji HandayaniAfiliasi tidak diketahui1
Ylyas SopyyevState University of Semarang1
Endang Retno WinartiState University of Semarang1
Rina Nurul FathiyaState University of Semarang1
Soviana Nur SavitriState University of Semarang1
Nana Umi LatifahState University of Semarang1
Nawang Kusuma MirantiState University of Semarang1
Linda WijayaState University of Semarang1
Nur Aisyah IstiState University of Semarang1
Ahmad BadawiState University of Semarang1
Bambang Eko SusiloState University of Semarang1
Oei Yuda Setiyo PriyantoState University of Semarang1
Didik Adi SaputroState University of Semarang1

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Sumber metadata: OAI-PMH (metadata jurnal) https://journal.unnes.ac.id/journals/kreano/oai, pertama di-harvest 6 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc)
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	<dc:title xml:lang="en">Analysis of Probabilistic Critical Thinking Skills of Students with High Mathematical Resilience</dc:title>
	<dc:creator xml:lang="en">Agoestanto, Arief</dc:creator>
	<dc:creator xml:lang="en">Relitasari, Puput</dc:creator>
	<dc:creator xml:lang="en">Mashuri</dc:creator>
	<dc:creator xml:lang="en">Azmi, Kholifatu Ulil</dc:creator>
	<dc:creator xml:lang="en">Nevtianingsi, Chitra Ayu</dc:creator>
	<dc:subject xml:lang="en">Critical Thinking</dc:subject>
	<dc:subject xml:lang="en">Probabilistic</dc:subject>
	<dc:subject xml:lang="en">Resilience</dc:subject>
	<dc:description xml:lang="en">Probabilistic critical thinking skills are essential for students to master. Previous studies have generally examined mathematical critical thinking based on cognitive abilities, resulting in a gap in the literature regarding how students’ profiles of probabilistic critical thinking are viewed from an affective perspective, namely, mathematical resilience. The purpose of this study is to analyze the probabilistic critical thinking skills of students with high mathematical resilience. This study is a qualitative research conducted on students of the Mathematics Education Study Program, Faculty of Mathematics and Natural Sciences, Semarang State University, with the research subjects being students of the Mathematics Education Bachelor's Program, Faculty of Mathematics and Natural Sciences, Semarang State University, in the second semester of the 2024/2025 academic year. There were three research subjects with high mathematical resilience. Data collection was conducted through tests, interviews, and questionnaires. Data were analyzed using: (1) data reduction; (2) data display; and (3) conclusion drawing/verification, while data validity was determined through triangulation, namely by comparing test results with interview results, as well as comparing the results of the research subjects. The results of this study indicate that the probabilistic critical thinking ability of subjects with high resilience meets the indicators of focus, situation, inference, and overview. However, they are still unable to meet the indicators of reason and clarity. The suggestion is that students need reinforcement in giving reasons for each step in problem-solving, as well as in providing further explanations when concluding. Theoretically, these findings enrich the literature on probabilistic critical thinking by integrating the affective dimension of mathematical resilience. Practically, these results serve as a guide for educators in designing learning interventions explicitly aimed at training students to articulate their reasoning and clarify their conclusions.
Abstrak
Kemampuan berpikir kritis probabilistik merupakan kemampuan esensial yang harus dikuasai mahasiswa. Kajian terdahulu umumnya meneliti berpikir kritis matematis berdasarkan kemampuan kognitif, sehingga terdapat kesenjangan literatur mengenai bagaimana profil berpikir kritis probabilistik mahasiswa ditinjau dari aspek afektif, yaitu ketangguhan matematis. Tujuan dalam penelitian ini adalah menganalisis kemampuan berpikir kritis probabilistik mahasiswa dengan resiliensi matematis tinggi. Penelitian ini merupakan penelitian kualitatif yang dilaksanakan pada mahasiswa program studi Pendidikan Matematika FMIPA Universitas Negeri Semarang, dengan subjek penelitian mahasiswa Program Studi Sarjana Pendidikan Matematika Fakultas Matematika dan Ilmu pengetahuan Alam Universitas Negeri Semarang semester dua tahun perkuliahan 2024/2025. Subjek penelitian sebanyak tiga mahasiswa dengan resiliensi matematis tinggi. Pengambilan data melalui tes, wawancara, dan angket. Data dianalisis menggunakan: (1) data reduction; (2) data display; dan (3) conclusion drawing/verification, sedangkan keabsahan data dilakukan melalui triangulasi yaitu membandingkan hasil tes dengan hasil wawancara, serta membandingkan hasil subjek-subjek penelitian. Hasil penelitian ini menunjukkan kemampuan berpikir kritis probabilistik subjek dengan resilisensi tinggi mampu memenuhi indikator focus, situation, inference, overview.   Sedangkan untuk indikator reason dan clarity masih belum mampu. Saran yang diberikan perlu adanya penguatan mahasiswa dalam memberi alasan dalam setiap langkah dalam memecahkan masalah, serta dalam memberi penjelasan lebih lanjut dalam membuat kesimpulan. Secara teoretis, temuan ini memperkaya literatur berpikir kritis probabilistik dengan mengintegrasikan dimensi afektif ketangguhan matematis. Secara praktis, hasil ini menjadi panduan bagi pendidik untuk merancang intervensi pembelajaran secara eksplisit untuk melatih mahasiswa dalam mengartikulasikan alasan dan memperjelas kesimpulan.</dc:description>
	<dc:publisher xml:lang="en">UNNES JOURNAL</dc:publisher>
	<dc:date>2026-06-30</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
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	<dc:identifier>https://journal.unnes.ac.id/journals/kreano/article/view/47103</dc:identifier>
	<dc:identifier>10.15294/kreano.v17i1.47103</dc:identifier>
	<dc:source xml:lang="en">Kreano, Jurnal Matematika Kreatif-Inovatif; Vol. 17 No. 1 (2026): Kreano, Jurnal Matematika Kreatif-Inovatif; 143-155</dc:source>
	<dc:source>2442-4218</dc:source>
	<dc:source>2086-2334</dc:source>
	<dc:source>10.15294/kreano.v17i1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.unnes.ac.id/journals/kreano/article/view/47103/10774</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2026 Kreano, Jurnal Matematika Kreatif-Inovatif</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by-nc-sa/4.0</dc:rights>
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