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Journal : Journal of Honai Math

Students field independent-dependent solving surface area of square pyramid: Commognitive perspective Ningrum, Ing Diar Maswal; Lefrida, Rita; Pathuddin; Alfisyahra
Journal of Honai Math Vol. 7 No. 3 (2024): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v7i3.745

Abstract

Understanding students' cognitive processes in solving mathematical problems is crucial for improving instructional strategies and learning outcomes. However, limited studies have examined students' commognitive aspects in the context of geometric problem-solving, particularly in relation to cognitive styles such as Field-Independent (FI) and Field-Dependent (FD) tendencies. This study addresses this gap by analyzing the four aspects of commognition word use, visual mediators, narratives, and routines demonstrated by students when solving story problems on the surface area of a square pyramid. The study also explores the patterns of thinking and solution strategies employed by FI and FD students in approaching these problems. Conducted in Class VIII A at SMP Negeri 1 Sigi, the study involved two male students, one representing each cognitive style, to highlight differences in problem-solving approaches while controlling for gender. Data collection involved the Group Embedded Figures Test (GEFT) to determine cognitive style, validated problem-solving task sheets, and semi-structured interviews conducted in parallel with the written tasks. Data were analyzed using data condensation, data display, and conclusion drawing techniques. The findings indicate that FI students approach problem-solving with greater detail, clarity, efficiency, and accuracy, explicitly demonstrating all four aspects of commognition. In contrast, FD students exhibit clarity, efficiency, and accuracy but lack detail and thoroughness in their written responses. Both cognitive styles demonstrate all four commognitive aspects, with notable differences in the narrative component FI students explicitly write formulas, whereas FD students understand the formulas but do not record them in writing. These findings provide valuable insights into how cognitive styles influence mathematical problem-solving and commognitive development, offering implications for differentiated instructional strategies in mathematics education.
Co-Authors Abd. Hamid ABDUL HAMID Abdul Hamid AGUNG LUKITO Agung Lukito Alfisyahra Alfisyahra Alfisyahra Alfisyahra Alfisyahra Alfisyahra Alfisyahra, Alfisyahra Alfisyhara, Alfisyhara Amelia, Reski Amelia, Risna Ana Puji Lestari Ana Puji Lestari Anggraini Anggraini Anggraini Arivi, Maharani Agustina Arnisah, Sitti Asyita, Asyita Auliyah, Rifqah Awaludin Awaludin, Awaludin Baharuddin Paloloang Bakri Bakri Bakri M Bakri M Bakri M Bakri Mallo Baso Amri Baso Amri Besse Nur Anisa Dahlan, Rahmawati Dahlia Dahlia Dasa Ismaimuza Desti Pujiarsih Dini Miranda Dwi Warli Dyah Permata Elsa Febriasari Evie Awuy Fahrur Razi Faisal Faisal Fani, Sri Fazlika, Jihan Febriasari, Elsa Fitriyanti, Winda Gandung Sugita Haerani, Novianti Hasbi, Muh Hermin, Arwini Puspita Hikber Todongi Husna, Radhiatul I Made Sudarsana I Nyoman Murdiana I Nyoman Murdiana Ibni Hadjar Ibnu Hadjar Ika Citra Pratiwi Jaeng, Maxinus Jihan Fazlika Julian, Rofi S Kamaruddin, Kamarudin Kamarudin Kamarudin Kanarasi, Yabes Maxrobin Karindah, Elis Safira Kevin Angryawan Rumba Khasanah, Tri Nur Lembang, Ulvina Tangke M, Bakri Mahdayani Mahdayani, Mahdayani Marinus B. Tandiayuk Marinus B. Tandiayuk Marnita Martina Martina Maxinus Jaeng Meliani Mansur Mirnawati Muin Mohamad Ruslan Lainawa MUFIDAH Mufidah Mufidah Muh Hasbi Muh Ikbal Almahdali Muh. Hasbi Muh. Hasbi Muh. Rizal Muh. Rizal Muhammad Fitrah Muhammad Fitrah, Muhammad Muin, Mirnawati MUSTAMIN IDRIS Mustamin Idris Ningrum, Ing Diar Maswal Ningsih, Firnawati Adia Nisa, Ainun Nita Nita Nita Nita Nur Islamiah Nur Islamiyah Nur' Ain Nur’aini, Jafar Nurhalizah Nurhalizah Nurhalizah Nurhalizah Nurhayadi Nurhikma, Nurhikma Nurviani Alamanda Nur’aini Jafar Pathuddin Pujiarsih, Desti Purwanindina, Atila Maheswari Dewi Rahmadiani Rahmadiani Rahmawati Dahlan Ratna Ratna Dwi Oktavia Razi, Muhammad Fahrur Reski Amelia Rezki Lola Yunita Rezky Hari Sentosa Rizal, Muh Rizki Amalia Sy Pau Rochmat Wijaya Rofi Julian S Rydwan Balo Sabila B, Dini Nurul Sari, Septi Rahmita Sasongko, Luddy Bambang Selmi Selmi, Selmi Sentosa, Rezky Hari Sinta, Selviana Siti Hardiyanti Siti Hardiyanti Sitti Nurhaliza Sudarman Bennu Sudarsono Sukayasa Sutji Rochaminah Syamsiar Syamsiar, Syamsiar Tajudin Tajudin Tatag Yuli Eko Siswono Tatag Yuli Eko Siswono Tegoeh S Karniman Tegoeh S. Karniman Tina Warli, Dwi Welli Meinarni Wijaya, Rochmat Winda Fitriyanti Wirdania, Wirdania Wisilayasa, I Gede Darma