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Journal : Jurnal Math-UMB.EDU

INDEPENDENCE IN MATHEMATICAL THINKING OF GRADE XI STUDENTS OF BENGKULU STATE HIGH SCHOOL IN SOLVING COMBINATION PROBLEMS Maizora, Syafdi; Suryadi, Didi; Juandi, Dadang; Dasari, Dadan
Jurnal Math-UMB.EDU Vol. 12 No. 3 (2025): JULY
Publisher : Universitas Muhammadiyah Bengkulu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36085/mathumbedu.v12i3.8611

Abstract

This study aimed to analyze in depth the students' independent thinking ability in solving combination problems in combinatorics material. The research method used was a qualitative case study, involving 24 high school students in grade XI who were selected purposively based on the criteria of never having studied the concept of combination formally and never having faced similar problems. The research instrument consisted of specially designed combination story problems and semi-structured interview guidelines to explore students' cognitive processes. Analysis was carried out on four aspects of ability, namely: (1) the ability to state problems in other forms, (2) the ability to form a solution strategy, (3) the ability to apply strategies for solving, and (4) the ability to verify the results obtained. The results of the study stated: (1) problems were stated in the form of number symbols and diagrams, using narrative sentences, drawing circles, forming sets, and using symbols B1 to B6; (2) the solution strategies used included: counting with the help of symbols, counting directly without symbols, and counting alternately; (3) solutions were found by using a variable symbol and set approach; (4) no students verified their solution results. These findings confirmed that although the majority of students demonstrated independent thinking in problem-solving and strategy development, only a small proportion consistently implemented the strategy, and none verified the results. The implications of this research could serve as a reference for designing more effective learning strategies to develop students' independent thinking skills in mathematics, particularly in combinatorics. Keywords: Combination, Independent Thinking, Problem-Solving
Co-Authors Agus Susanta AGUSTIN, ELUL DIAN Agustina, Dessy Agustinsa, Ringki Alfajri, Ahmad Rozaq Andela, Dika Ayu Anggraeni Tri Astuti, Dian antasari, melisa melisa Anto, Windri Berlinda, Keke Dadan Dasari Dadang Juandi Della Maulidiya DEWI HERAWATY Dewi Rahimah Didi Suryadi Dwi Agustin, Bella Edi Susanto Efrida Muchlis, Effie EfridaMuchlis, Effie Eka Sri Utami, Eka Sri Elwan Stiadi Fachruddin S., M. Fashali, Agju Jihan Indri Fitry, Tiara Fransiska Fransiska Haji, H Saleh Hamidah Azzahra Handholiza, Hudzaifa Fitri hanifah hanifah hanifah, Hanifah hanifah Hannifah, Hannifah Hapid, Cahayau Gafar Hestavia, Ahen Hesti Wulandari Hutari, Rahma Roza Irsal, Nur Aliyyah Jaya, Sukma jayanti, meli dwi Julihartika, Nuraisyah Kristiani, Febri Lestari, Karlya Dwi Upika Lestary, Ratnah Lukito, Sandi M Ilham Abdullah Mahpudin, Asep Maryani Maryani Muchlis, Effie Efrida Muchlis, Effie Efrida Mutiara, Petty Nadiyah, Atikah Nanang Priatna Narta, Aditra Dwi Nikmatinafiah, Rizki ningrum, yunia jumita Novianti, Karina Oktavia, Reni Pasinda, Leki Prakoso, Yans Al pratama, Yoga pangestu PRATIWI, SINTIA UTAMI Putri, Fina Rahma Putri, Heni Dwi Rahimah, Dewi ramadhanti, Syntia Rani, Ariza Yulika Riyani, Rizki Rizky Rosjanuardi rohana, siti siti Rusdi Rusdi Rusdi Rusdi Sabillah, Farah Sal Sahranti, Zulfida Saputra, Berto Dwi Sari, Bet Sri Anita Sari, Fiki Puspita Sari, Ita Permata Sartika, Ferenc Fitriani Sartika, Putri Dewi sastrio, hendri Sentosa, Rahmonike Dwisari Septiyani, Dita Yustika Siagian, Teddy Alfra Sulistiyana, Ella Susanta, Agus susanto, wawan adi sustrowati, Reda adha syukur, muhammad fachruddin Tama, Rizky Dwi Tuzzahra, Raudya Utami, Dea Putri Utari, Tria Valencia, Ulva Dwi vatricia, susan Vinna, Vinna winoto, febri restu Yensy , Nurul Astuty Yensy B, Nurul Astuty Yensy, Nurul Astuty Yensy, Nurul Astuty Yulia Rachmawati Yuliardi, Ricki Yumiati YUNUS, MUHABAR