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Journal : Ijarme

The Mathematical Problem-Solving Processes Of Primary Students Cahyaningsih, Ujiati; Pangestika, Rintis Rizkia; Mumpuni, Atikah; Prasetyo, Teguh
Al-Mufid Vol 1 No 1 (2023)
Publisher : Papanda Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56916/ijr.v1i1.456

Abstract

The purpose of this study is to assess the mathematical problem-solving skills of students. Up to three fifth-grade students were selected to represent high, medium, and low mathematical problem-solving skills. This study uses a qualitative approach based on a case study methodology. Data collection methods included examinations, interviews, questionnaires, and records. Triangulation tests were carried out using triangulation procedures, analyzing informants, and designing member checks. The data analysis technique included data collection, reduction, presentation, inference, and verification. The results showed that students with above-average abilities can deal effectively with challenges. Pupils of average ability can only reach the planning stage, and when it comes to carrying out the plan, they often make mistakes in entering numbers and performing calculations.  
An analysis of students’ learning difficulties in solving plane geometry problems among seventh-grade students Andini, Ina; Cahyaningsih, Ujiati
Al-Mufid Vol 2 No 2 (2024)
Publisher : Papanda Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56916/ijr.v2i2.2657

Abstract

This study aims to analyze the types and causes of learning difficulties among seventh-grade students in solving problems related to plane geometry. The research specifically focuses on identifying challenges in three major dimensions of mathematical learning: conceptual understanding, application of mathematical principles, and problem-solving skills. A descriptive qualitative method was employed to explore students’ learning behaviors and errors in depth. The participants consisted of three seventh-grade students from SMP Negeri 3 Sungai Ambawang, selected through purposive sampling to represent high, medium, and low academic ability groups. Data were collected through open-ended written tests on plane geometry (covering perimeter, area, and real-life applications of two-dimensional shapes) and semi-structured interviews designed to probe students’ reasoning and sources of error. The collected data were analyzed using Miles and Huberman’s model, which includes data reduction, data display, and conclusion drawing, supported by data triangulation to enhance validity. The results reveal three dominant categories of learning difficulties: (1) conceptual misunderstanding, such as misinterpreting formulas for area and perimeter; (2) procedural inaccuracy, including misapplication of principles and arithmetic errors; and (3) problem-solving challenges, particularly in multi-step reasoning and contextual interpretation. These findings demonstrate that students’ errors are interconnected—conceptual weaknesses often trigger procedural and strategic failures. The study concludes that improving students’ geometry achievement requires integrated instructional strategies emphasizing conceptual clarity, contextualized learning, and guided problem-solving practice. Such approaches can enhance students’ reasoning, visualization, and confidence in mathematics learning.
Reflective integration of generative artificial intelligence (ChatGPT) in mathematics teacher education: preservice teachers' pedagogical reasoning and lesson design Cahyaningsih, Ujiati; Hartanto, Ahmad Iqbal
Al-Mufid Vol 3 No 1 (2025)
Publisher : Papanda Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56916/ijr.v3i1.2835

Abstract

This study examines the interaction of preservice mathematics teachers (PSTs) with Generative Artificial Intelligence (GAI), specifically ChatGPT, during the lesson design and reflective microteaching processes. The research aims to explore how PSTs evaluate mathematical reasoning, adapt pedagogical ideas, and develop reflective practices when using ChatGPT as a cognitive and pedagogical partner. Employing a qualitative descriptive design, the study involved 14 PSTs enrolled in a Mathematics Learning Strategy course at Universitas Majalengka, Indonesia. Data were collected through lesson plans, ChatGPT interaction transcripts, reflective journals, and post-teaching reports, then analyzed using open, axial, and selective coding following Charmaz (2006) and Saldaña (2016). The analysis revealed three major themes: Critical Statistical Reasoning and AI Evaluation, AI as a Reflective Catalyst for Pedagogical Decision-Making, and Pedagogical and Conceptual Constraints of AI Guidance. Results showed that ChatGPT supported PSTs in reformulating objectives, identifying misconceptions, and improving pedagogical structure, but its reasoning occasionally contained conceptual errors in statistics. PSTs perceived ChatGPT as a reflective stimulus rather than a final pedagogical authority, highlighting the need for guided reflection and AI literacy. The study concludes that GAI can foster critical and adaptive thinking when integrated with mentoring and reflective scaffolds. These findings contribute to the growing body of knowledge on AI-supported teacher education, offering implications for curriculum design and the development of AI literacy in mathematics pedagogy.
Co-Authors Abdillah, Sayyid Abdur Rasyid Abdur Rasyid, Abdur Ade Rianto Afila, Nurul Agus Rofi’i Ahmad, Uswatun Hasanah Alif, Hafiz Ananda, Dhea Syfa Andini, Ina Andreani, Putri Anggi, Muhamad Anik Ghufron Anjelika, Shilpana Ansori, Yoyo Zakaria Apriana, Citra Ari Susandi Arum Ratnaningsih Asteka, Pipik Atikah Mumpuni Ayu Herlina Dadang Sudirno Damayanti, Ervina Dede Salim Nahdi Dela Rohimatunnisa Diding Bajuri, Diding Dimas Kusuma Wardhani Erika Noviana Febriyanto, Budi Handayani, Neng Siti Hilda Hani Sri Mulyani Hariri, Dewi Damayanti Hartanto, Ahmad Iqbal Hartoyo, Seika Reyina Haryanti, Yuyun Dwi Heni Herawati Herviani , Silvi Salsabila Ikbal, Mohamad Nasir Ipang Muhammad Sofyan Ipin Aripin Ira Nurlatifah Jatisunda, Gilar Julia, Shintia Hanif Kamilah, Nalisa Rifqi Linggakusuma, Ayib Sunandi Lita Lita Mahmudah, Hilda Mahpudin Mahpudin Mahpudin Maulana, Iran Moh Salimi Mohamad Gilar Jatisunda Muhammad Sofyan, Ipang Mumpuni, Atikah Nina Nuraeni Nirmala, Vivi Nur Annisa, Syfa Nuraeni, Euis Nurfadilah, Aisah Nurfajriah, Riska Nurfalah, Eni Nurmeidha, Bella Nurudin Araniri Nurul Fazriah, Anisa Nurwidianti, Sinta Padilah, Putri Isna Rahmah Pangestika, Rintis Rizkia Puspitasari, Wina Dwi Rahma, Irma Aulia Rahmah Nurjanah, Sri Ramadan, Candra Sapta Ramadhan, Naufal Fadhli Ratna Hidayah Rintis Rizkia Pangestika Rohani, Putri Ariffa Rohimatunisa, Dela Royan Fakhrurozi Salamah Anisa Amalia, Neng seka ayu wardani Wardani Setiawan , Yusup Silfi Audina Silvia, Della Siti Amallyah Hasanah Siwi Utaminingtyas Sopiyah, Evi Sri Wulan Anggraeni Sudirno, Dadang Suparman, Tarpan Sutisna, Kana Syaharani, Ainun Fitria Syahbani, Rozik Akbar Teguh Prasetyo Tika Nurjanah Ubaedillah Vici Suciawati Wahyuningsih, Asih Wardani, Tiara Kusuma Wulandari, Siti Awah Yanto, Ari Yayan Yeni dwi Kurino Yuliati, Yuyu