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Memutus Rantai Hambatan Belajar: Analisis Kedalaman Berpikir Konseptual dalam Aljabar Elementer. Purwasih, Silviana Maya; Faizah, Hanim; Prajitno, Sunyoto Hadi
International Journal of Progressive Mathematics Education Vol. 5 No. 2 (2025)
Publisher : Universitas Muhammadiyah Prof. DR. HAMKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/ijopme.v5i2.21478

Abstract

Purpose: This study characterizes learning obstacles in elementary algebra among pre-service mathematics teachers to address gaps in conceptual and reflective thinking that are frequently overshadowed by purely procedural mastery. Design/methodology/approach: Adopting a descriptive qualitative design, this research involved three mathematics education students at Universitas PGRI Adi Buana Surabaya. Data were gathered through problem-solving tests and in-depth interviews, subsequently analyzed using the Miles-Huberman model and validated through technical triangulation. Findings: The results identify three primary categories of obstacles: (1) ontogenic (anxiety and carelessness); (2) didactic (entrenched procedural learning habits); and (3) epistemological (conceptual misconceptions). These interconnected barriers significantly impede students' capacity to construct sound mathematical knowledge. Practical implications: It is recommended that educators implement error analysis and metacognitive reflection strategies to facilitate the reconstruction of robust conceptual frameworks among students. Originality/value: The significance of this research lies in its comprehensive mapping of psychological and cognitive obstacles occurring simultaneously, providing a strategic foundation for targeted pedagogical interventions in Elementary Algebra courses..   Purpose: Penelitian ini mendeskripsikan hambatan belajar aljabar elementer mahasiswa calon guru guna mengatasi kendala berpikir konseptual dan reflektif yang sering terabaikan oleh penguasaan prosedural semata. Design/methodology/approach: Studi deskriptif kualitatif ini melibatkan tiga mahasiswa Pendidikan Matematika Universitas PGRI Adi Buana Surabaya. Data dikumpulkan melalui tes pemecahan masalah dan wawancara, lalu dianalisis menggunakan model Miles-Huberman dengan validasi triangulasi teknik. Findings: Temuan mengungkap tiga hambatan utama: (1) ontogenik (kecemasan dan ketidaktelitian); (2) didaktik (kebiasaan belajar prosedural); dan (3) epistemologis (miskonsepsi konsep). Keterkaitan hambatan tersebut berdampak signifikan pada rendahnya kemampuan mahasiswa mengonstruksi pengetahuan matematis. Practical implications: Pendidik direkomendasikan menerapkan strategi analisis kesalahan (error analysis) dan refleksi metakognitif untuk membantu mahasiswa membangun kembali pemahaman konseptual yang kokoh. Originality/value: Keunggulan penelitian ini terletak pada pemetaan hambatan belajar yang menggabungkan aspek psikologis dan kognitif secara simultan sebagai landasan intervensi pedagogis tepat sasaran dalam mata kuliah Aljabar Elementer.
Profil Pemahaman Konseptual Mahasiswa Calon Guru Matematika tentang Grup Ditinjau dari Kemampuan Matematika Hanim Faizah
Didaktik Matematika Vol 6, No 2 (2019): Jurnal Didaktik Matematika
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v6i2.13914

Abstract

Many students have not mastered the concept of group theory well. Hence, the researcher intended to describe the conceptual understanding of group theory based on the students mathematical abilities. The implementation of this research begun with the students studied about Group Theory classically. Next, to examine the mathematical abilities of students, the researcher administered the questionnaire to obtain the data about the GPA (Grade Point Average) of students. Then, the researcher chose the participants of this study based on the high, middle, and low GPA. The selected research subjects were then given test questions that had been validated by the experts. Data was analyzed using the indicators of conceptual understanding, namely: (1) explaining or restate the group concept, (2) providing an example and a nonexample, (3) using group concept to solve the problem. The results showed that the students with high mathematical abilities reached three indicators of conceptual understanding perfectly. Students with medium mathematical abilities reached two indicators of conceptual understanding but it was not perfect, she did not write the answer completely. In addition, students with low mathematical abilities could not do the test at all, he could not write the group correctly. He did not reach any indicators of conceptual understanding, thus, it can be concluded that the students with low mathematical abilities did not understand the concept well.