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Journal : Journal of Instructional Mathematics

Uncovering Gaps in Deductive Geometry Thinking: Rasch-Based Evidence from Students’ Work on Quadratic Functions Alghadari, Fiki; Arisha, Bella; Hidayah, Nurul; Saparuddin, Saparuddin; Dharma, Budi Eka
Journal of Instructional Mathematics Vol. 6 No. 2 (2025): -
Publisher : Pendidikan Matematika STKIP Kusuma Negara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37640/jim.v6i2.2510

Abstract

The deductive structure is fundamental in mathematics, but students often struggle to derive logical consequences when constructing proofs or engaging in the bridging process. This study analyzed students’ ability to deduce logical relationships between properties in geometric thinking on quadratic functions. The participants were students (N=139) from the mathematics education program. The properties of quadratic functions and their interrelationships contained in the premises represented students’ responses to the instrument. The responses were dichotomously coded based on the criteria of the carried-out deduction process and then evaluated using Rasch analysis. The findings revealed that, in general, the distribution of students’ ability levels was below most levels of the carried-out deduction process. Although a group of students had already reached the high-ability category, the overall distribution was still dominated by low-ability levels. Many students continued to face serious challenges in reaching the final stage of the deduction process—advanced premise integration and deductive synthesis—since most of them established relationships among properties merely from the given information. There were indications that learning experiences during higher education contributed positively to the improvement of students’ ability at the deduction level. The study recommends four steps to habituate students to the process of deduction.
Co-Authors . Hamsiah A.S. Alonemarera Adnan Adnan Afreni Hamidah Agustina, Nurria Agustyn, Amanda Rya Ainun, Nur Aisyah Akhmad Syakur Akila, Nur Al-Ayyubi , Muh. Salahuddin Ali Sadikin Alvaro, Rakan Alwatia, Alwatia Amelia, Dwi Ami, Agung Wijaya Anci, Anci Andi Baso Kaswar Andi Baso Kaswar Arenal, Arenal Arhamar, A. S. Muhammad Arifah Novia Arifin, Arifah Novia Arifuddin, Muh Arisnawati, Arisnawati Arsad Bahri Asdenafika, Febilia Asfiana, Asfiana Asham Bin Jamaluddin Asmidar Asmidar Ayuningtyas, Herlianty Tri Dimas Bella Arisha, Bella Besse, Besse Charmilasari, Charmilasari Christian Wiradendi Wolor Damaiyanti, Annisa Anugrah Despinur Dara Dharma, Budi Eka Djunarlin Tojang Dwi Yulianto, Imam Erfina, Erfina Ernawati Ernawati Ervan Johan Wicaksana Evita Anggereini Evita ANGGREINI Fadiana, Mu’jizatin Fadilah MgB, A Fadillah, Nurfatin Faisal Faisal Fathiyah Fathiyah Fiki Alghadari Firdaus Daud Fitrah Adelina Fuadi Fuadi G.P., Sartika Gayatri, Adinda Kinantia Habidzar, Habidzar Handayani, Fitrianti Handayani, Fitrianti Harianto, Fajar Hartati Hartati Hartono Hartono Hasanuddin, Muhammad Hendrian Hendrian, Hendrian Herman, Magfira Hermawan, Herman Hilda Karim Iklimalia, Iklimalia Ilham Antariksa Tasabaramo Indah, Cahaya Irawan, Anry Iriyani, Neni Iryani, Novi Iryuanita, Elvina Jastiana, Diel Aknova Jodion Siburian Junia, Resy Kaliu, Sutriani Kardilla, Iva Khirmayanti, Khirmayanti KURNIA KURNIA, KURNIA Kurniawati Kurniawati La Mpia Lorensyantinto, Muhammad M. Yahya M. Yogi Riyantama Isjoni Maretik, Maretik Marita Ika Joesidawati Mega Wahyuni Meilin, Meilin Miswandi Tendrita Muhammad Junda Muhiddin Palennari Muhiddin, Muhiddin Mulya, Yonata Wira Murtopo, Purno Mustain Mustain Mutmaenah, Shucy Nainggolan, Marsaulina Nani Kurnia, Nani Napitu, Priska Enjelina NOVITA EKASARI Nur Fitri Nur Rohman Nurhayati B Nurhidayah Nurhidayah Nurjanah, Niken Nurjihadin, Nurjihadin NURUL HIDAYAH Nurul Islamiyah Olivia, Putri Sarah Oslan Jumadi Patongai, Dian Dwi Putri Ulan Sari Pratiwi Pratiwi Pratiwi, Andi Citra Purwana E.S., Dedi Puspisari, Feni Putri, Dea Abyanti Putri, Febriyanti Putri, Husmayani Muny Qurrota’Aini, Nasywa Rachmawaty Rachmawaty, Rachmawaty Rafiuddin, Rafiuddin Rahmat, Farah Alfian Ghofar Ramadhani, Amanda Riskina Rendy Ardiansyah Reskiana, Reskiana Rian Aldi Rosmeli, Rosmeli Saharani, Dita Sahid, Muhammad Rifky Haekal Sahribulan, Sahribulan Saleh, Andi Rahmat Saleh, Ramlah Salsabila, Niken Alya Salsabila, Syifa Saman, Maman Nur Sandri, Herlina Desi Hadi Saputra, Feri Adha Sari, Tri Maniarta Siagian, Adelini Simamora, Lidia Contesa Siregar, Siregar Sudirman Sudirman Sugianto Sugianto Sulistiyoning, Retni Sunra, La Suparno Suparno Syarif, Eka Aghnia Syarifuddin Syarifuddin Syehrina Aldiana Tentia, Ine Titik, Titik Tojang, Djunarlin Valentina, Ana Vega, Nadya Maharani Wahono, Puji Wati, Elka Indra Wiralestari, Wiralestari Yanti, Christie Novri Yasser Abd Djawad Zahara, Elvi Zahra, Mahar Hazzillia Az Zahra, Siti Fatimah Zuhri, Maisarah Muaazarah