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Journal : Journal of Honai Math

Learning proof of trigonometric identities with ChatGPT Fitri, Putih; Hartono, Yusuf; Meryansumayeka, Meryansumayeka
Journal of Honai Math Vol. 8 No. 1 (2025): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v8i1.755

Abstract

The integration of artificial intelligence (AI) into mathematics education has demonstrated potential in enhancing students’ conceptual understanding and reasoning abilities, particularly in the context of mathematical proof. Despite these advancements, limited research has investigated the use of AI-based language models such as ChatGPT to support students in learning the logical structure of trigonometric identity proofs, which remain a challenging topic for many learners. To address this gap, this study introduces a novel learning trajectory assisted by ChatGPT aimed at improving students’ abilities in constructing and understanding trigonometric proofs. Employing a validation study design, the research was conducted in three phases: experimental preparation, experimental design, and retrospective analysis. Data were collected through observations, interviews, document analysis, and written tests, and analyzed qualitatively. A total of 50 eleventh-grade students engaged in three learning activities: studying proofs with ChatGPT-generated explanations, interacting directly with ChatGPT to explore proof strategies, and independently solving proof tasks without AI assistance. The findings indicate that ChatGPT effectively supports students in comprehending the logical steps involved in proof construction, enhances their engagement with mathematical reasoning, and promotes deeper understanding of trigonometric identities. These results highlight the potential impact of conversational AI tools in fostering proof-based thinking and enriching mathematics instruction at the secondary education level.
The critical thinking ability of junior high school students in numeracy learning assisted by augmented reality on the topic of rectangular prisms Muhammad Ridho Rahman; Meryansumayeka
Journal of Honai Math Vol. 8 No. 2 (2025): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v8i2.839

Abstract

The increasing focus on computational thinking and numeracy has established critical thinking as a paramount skill in modern mathematics education; however, evidence on how emerging technologies, specifically Augmented Reality (AR), mediate this cognitive process in students remains limited. This study addresses this lacuna by providing an in-depth, mixed-methods analysis of junior high school students' critical thinking performance within an AR-assisted numeracy learning environment, focusing specifically on the challenging domain of rectangular prisms. Employing a descriptive quantitative and qualitative design, this research aims to meticulously describe and evaluate the critical thinking ability of three eighth-grade students selected via purposive sampling across high, moderate, and low initial mathematical ability levels. Data were systematically collected through validated open-ended written tests and follow-up interviews and analyzed using Facione’s framework (interpretation, analysis, evaluation, and inference) with a three-tier performance categorization (> 75: high; 60-74: moderate; < 60: low). The analysis revealed a moderate overall level of critical thinking ability (mean score: 66.62). A direct correlation with prior ability was observed: the high-ability student performed highly across all indicators, the moderate-ability student showed proficiency in interpretation and analysis but deficits in evaluation and inference, and the low-ability student remained low across all four facets. These findings significantly highlight the differential influence of prior mathematical ability on higher-order thinking skills, suggesting that while AR effectively facilitates the visualization and analysis components of critical thinking, complementary pedagogical interventions are necessary to enhance complex skills such as mathematical inference.
Co-Authors Adinda Putri Aisyah Alliyyah Zahra Permata Putri Amalia Rizki Prabandari Ambarita, Sahala Martua Amrina Rosyada Anadia Muli Mariela Andita, Sintia Anggraini, Hidaya Aprilianty, Dhea Riski Aprilisa, Shinta Ayu Luviyanti Tanjung Azizah, Farhatul Azma, Tiara Rondiana Azzahra, Maghfiroh Budi Mulyono Cecil Hiltrimartin Cecil Hiltrimartin Chyrza Adhea Salsabila Danil C, Fransisco Darmawijoyo, Darmawijoyo Desvitasari, Tria Devin Akbar Albany Dinda Fitri Humaira Dinda Syabillah Duano Sapta Nusantara Ego, Ego Eka Wahyuni Nur’rohim Elfisyah Isnaini Raizon Elika Kurniadi Elsa Susanti Elsa Susanti Elvina, Nova Ely Susanti Endang Sri Agustini Erni Natalia Fadhilah Azzahra Fadillah, Anisa Dini Fazila Fazila Febilia Anisa Purnama Febriandini Muhtasya Firdaus, Raisya Adisty Firsta, Risa Rahmatia Fitri, Putih Hani Kurniati Permata Hapizah Haris Kurniawan Hendra Lesmana Hriadi, Akbar Iftina Delfi Indah Rahmasari Indaryanti Indaryati Izza Della Nur Rizki Jaap den Hertog Jayanti Jayanti Jayanti Jeri Araiku Kamalia, Ghina Kamaliyah Kamaliyah Kamelia, Nabila Putri Kasari, Mevi Kgs M Syahrur Ramadhon Khairida Fahriya Imtinan Khairida, Khairida Kurniadi, Elika Kurniawan, Ahmad Afrideni Kurniawan, Rendi Lasti, Nadila Linda Puspitasari M Arman Putra Karwana M Rizky Ramandani M Yusup M. Dimas Virgiawan M. Yusuf Maat, Siti Mistima Maharani, Yulianita Mahatri, Friska Mahendra, Yudha Marina, Rini Marlini, Sri Meutia Rahmi Haranti Miftahul Jannah Muhammad Nabil Arifin Muhammad Ridho Rahman Muhammad Yusuf Muhammad Yusuf Mulyono, Budi Mursyidah J. Parandrengi Muslimin, Yoni Mutiara Febrianti Nabilla Rahmadhani Nadila, Lira Nadirah, Aisyah Nety Wahyu Saputri Novita Sari Nur Zahwa Nur Zahwa Nurhayati, Mira Nyimas Aisyah Nyimas Aisyah Pertiwi, Amirah Nada Prassetya, Refki Meidi Pratiwi, Riszky Pabela Pratiwi, Weni Dwi Pratiwi, Weni Dwi Pujianti, Desi Puspitasari, Linda Putih Fitri Putri Aisyah Putri, Dhea Anisah Putri, Karin Hernelia PUTRI, NABILAH Putriani, Jesika Dwi Rafika Sari Rahmi Haranti, Meutia Ramadan, Dwi Cahya Ramadhaniyah, Mona Ratu Ilma Ratu Ilma Indra Putri Repa, Putri Akika Jeni Rezkiko Mulya Rifdah Luthfiyah Risda Intan Sistyawati Riski Aprilianty, Dhea Riszky Pabela Pratiwi Safitri, Erna Retna Sahala Martua Ambarita Sahrul Wildan Samsuriyadi Samsuriyadi Samsuryadi Samsuryadi Samsuryadi Sanita, Eka Santoso, Budi Sapitri, Nadia Bela Sapitri, Tirta Sari Sari, Dela Puspita Sari, Ratih Purnama Scristia Scristia, Scristia Sefhira, Resti Sepriliani, Sisca Puspita Septa Angelia Aprita Septy Sari Yukans Sincia Anggaraini Sisca Puspita Sepriliani Sistyawati, Risda Intan Siti Aisyah Siti Mistima Maat Somakim, Somakim Sri Marlini Stiven, Jepri Sukmaningthias, Novika Sukmaningtyas, Novika Susanti, Elsa Syakirah, Jihan Syifa Restania Putri Tanjung, Ayu Luviyanti Tatag Yuli Eko Siswono titin wijayanti Ulan Dari Umi Chotimah Utami, Marta Risa Putri Valenzia Putri Vijjani, Chindy Octa Vina Amilia Suganda Virgiawan, M. Dimas Wartini, Bella Septia Weni Weryani Winda Putri Yulianti Yesi Arianti, Yesi Yulianita Maharani Yunita Prasetyawati Yusuf Hartono Yusuf, M. Zahra Alwi Zahra Alwi, Zahra Zuli Nuraeni Zuli Nuraeni Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi