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ANALISIS KESALAHAN MAHASISWA PGSD DALAM MEMECAHKAN MASALAH GEOMETRI DITINJAU DARI PRIOR KNOWLEDGE Subanji Subanji; Elli Kusumawati; Indah Setyo Wardhani
EDU-MAT: Jurnal Pendidikan Matematika Vol 11, No 2 (2023)
Publisher : Universitas Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/edumat.v11i2.17141

Abstract

Penelitian ini mengkaji kesalahan mahasiswa dalam memecahkan masalah geometri melalui penelusuran prior knowledge. Penelitian ini merupakan penelitian studi kasus tipe instrumental melibatkan 185 mahasiswa PGSD Universitas Trunojoyo Madura. Subjek menyelesaikan instrumen pelacak prior knowledge dan dilanjutkan pemecahan masalah. Hasil penelitian menunjukkan bahwa 71 (38,37%) gagal menyelesaikan masalah segitiga dan 124 (67,02%) subjek gagal menyelesaikan masalah jajar genjang. Kesalahan menyelesaikan masalah tersebut dikarenakan kesalahan memahami prior knowledge. Kesalahan pemecahan masalah dapat dikelompokkan menjadi empat bentuk yaitu: (1) kesalahan representasi; (2) kesalahan menggambar garis tinggi, (3) kesalahan dalam menggunakan teorema phytagoras, dan (4) kesalahan memahami konteks berbeda. Sebaran kesalahan prior knowledge: 87,75% kesalahan memahami aksioma, definisi dan representasi dalam geometri sebesar; dan 26,49% kesalahan representasi gambar.   Kata kunci: Prior Knowladge, Pemecahan Masalah, Geometri Abstract: This study examines students' mistakes in solving geometric problems through searching prior knowledge. This research is an instrumental type case study involving 185 PGSD students at Trunojoyo University, Madura. The subject completed the prior knowledge tracking instrument and continued problem solving. The results showed that 71 (38.37%) failed to solve the triangle problem and 124 (67.02%) subjects failed to solve the parallelogram problem. Errors in solving these problems are due to errors in understanding prior knowledge. Problem solving errors can be grouped into four forms, namely: (1) misrepresentation; (2) mistakes in drawing heights, (3) mistakes in using the Pythagorean theorem, and (4) mistakes in understanding different contexts. Prior knowledge error distribution: 87.75% error in understanding the axioms, definitions and representations in geometry by; and 26.49% image representation error. Keywords: Prior Knowladge, Problem Solving, Geometry.
PEDAGOGICAL CONTENT KNOWLEDGE (PCK) CALON GURU MATEMATIKA SEKOLAH DASAR : ANALISIS BERDASARKAN VIGNETTE Annisa Andika Karisa; Subanji Subanji; Susiswo Susiswo
EDU-MAT: Jurnal Pendidikan Matematika Vol 13, No 2 (2025)
Publisher : Universitas Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/edumat.v13i2.22320

Abstract

Penelitian ini bertujuan untuk mengetahui Pedagogical Content Knowledge (PCK) yang dimiliki oleh calon guru matematika sekolah dasar berdasarkan dari instrumen Vignette. Vignettemerupakan instrumen berbentuk skenario, yang berisikan miskonsepsi dan kebingungan siswa. Metode yang dilakukan dalam penelitian ini adalah kuliatatif deskriptif. Subjek penelitian adalah calon guru (pre-service teacher) yang merupakan mahasiswa PGSD semester akhir. Pemilihan subjek dilakukan dengan menggunakan teknik purposive sampling. Komponen yang terdapat pada penelitian ini ada tiga, yaitu pengetahuan tentang siswa, pengetahuan mengajar, dan pengetahuan konten. Hasil penelitian ini menunjukkan bahwa tingkat PCK (Pedagogical Content Knowledge) secara signifikan memengaruhi kemampuan subjek dalam mengatasi miskonsepsi siswa. Subjek dengan PCK tinggi mampu menguasai ketiga komponen PCK dengan sangat baik, subjek dengan jelas mengidentifikasi miskonsepsi siswa, dan memberikan solusi yang tepat untuk memperbaikinya. Sebaliknya, subjek dengan PCK sedang menunjukkan ketidakseimbangan antara kemampuan konten dan pedagogik; meskipun mereka mampu memberikan solusi untuk menghadapi miskonsepsi siswa, sesekali mereka mengalami miskonsepsi serupa karena ketidaktelitian. Sementara itu, subjek dengan PCK rendah tidak mampu meluruskan miskonsepsi siswa, bahkan cenderung mengalami miskonsepsi yang sama dengan siswa. Penelitian ini berkontribusi dalam pemahaman PCK calon guru matematika sekolah dasar melalui instrumen Vignette, memberikan wawasan mendalam tentang bagaimana berbagai tingkat PCK memengaruhi kemampuan mereka dalam mengatasi miskonsepsi siswa. Hasilnya dapat menjadi dasar bagi pengembangan program pendidikan guru yang lebih efektif, khususnya dalam peningkatan kemampuan pedagogik dan konten untuk mempersiapkan calon guru menghadapi tantangan di kelas. Kata Kunci:  Pedagogical Konten Knowledge, Vignette, Calon Guru Matematika Abstract: This study aims to determine the Pedagogical Content Knowledge (PCK) possessed by pre-service mathematics teacher primary school based on the vignette instrument. Vignette is an instrument in the form of a scenario, which contains students' misconceptions and confusion. The method used in this research is descriptive qualitative. The subject of the research is a pre-service teacher who is a final semester PGSD student. Subject selection was done by using purposive sampling technique. There are three components in this study, namely knowledge of students, knowledge of teaching, and knowledge of content. Findings indicate that the level of PCK significantly influences subjects' ability to address student misconceptions. Subjects with high PCK demonstrated excellent mastery of all three PCK components, accurately identifying student misconceptions and providing appropriate solutions for their remediation. Conversely, subjects with moderate PCK exhibited an imbalance between their content and pedagogical knowledge; while capable of offering solutions to student misconceptions, they occasionally experienced similar misconceptions due to oversight. Meanwhile, subjects with low PCK were unable to rectify student misconceptions and often shared the same misconceptions as their students. This research contributes to a deeper understanding of PCK among prospective elementary mathematics teachers through the innovative use of vignettes, offering profound insights into how varying PCK levels impact their effectiveness in addressing student learning difficulties. The findings can serve as a foundation for developing more effective teacher education programs, particularly in enhancing pedagogical and content capabilities to better prepare future educators for classroom challenges. Keywords:  Pedagogical Konten Knowledge, Vignette, Pre-Service Mathematics Teacher
Analysis of metacognitive characteristics in group discussion on grade 5 fraction materials Dyah Triwahyuningtyas; Cholis Sa’dijah; Makbul Muksar; Subanji Subanji
JPPI (Jurnal Penelitian Pendidikan Indonesia) Vol. 10 No. 1 (2024): JPPI (Jurnal Penelitian Pendidikan Indonesia)
Publisher : Indonesian Institute for Counseling, Education and Theraphy (IICET)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29210/020243715

Abstract

Math problems require students to think critically in solving a problem. Metacognition leads to the ability to think critically and think at a higher level cognitive process in learning. This study aims to describe the characteristics of metacognition in group discussions on fraction material for grade 5 elementary school students. This type of research uses qualitative descriptive research. The data collection methods used in this research are observation, interview and documentation. The characteristics of students' metacognition can be obtained through observation when students discuss working on problems. Metacognitive activities of 5th grade elementary school students are classified into 3 namely awareness, regulation and evaluation. Students' metacognitive awareness is able to understand the problem and students are able to know what the next thing will be done after understanding the problem. Regulation students are able to choose the strategy that will be used to solve the problem and students are able to apply the chosen strategy to solve the problem. Evaluation students are able to check the answers that are done correctly and are able to ensure that the answers are correct. During group discussions, students are divided into 3 roles, namely students as experts, facilitators and beginners. During group discussion activities to solve problems, not all metacognitive activities appear in each student. Facilitators can influence beginners to be active in the discussion and expert students can help group mates to rethink what they have done before.
Students’ Analogical Reasoning Errors in Solving Mathematical Analogy Problems: Differences in Abstract Sequential Thinking Styles Khair Muhammad Sa'duddien; Subanji; Muksar Makbul
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 10 No 1 (2025): July
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v10i1.6986

Abstract

Students’ ability to construct analogical thinking is an important skill in solving mathematical problems, as it allows them map knowledge from familiar mathematical concepts to new mathematical concepts. Unfortunately, many students make errors in constructing analogies, especially when faced with abstract and complex problems. Individuals with an abstract sequential thinking style, known for their ability to analyze ideas and describe logical sequences are interesting subjects for research on how they solve mathematical analogy problems and what types of analogical reasoning errors emerge during the process. Therefore, this study aims to identify and analyze analogical reasoning errors made by students with an abstract sequential thinking style when solving mathematical analogy problems. This descriptive qualitative research was analyzed using the Miles and Huberman model. The research subjects were Grade 10 senior high school students. Based on the thinking style questionnaire, 31 students with an abstract sequential thinking style were identified from 183 subjects, from which two students were selected as samples. Based on the analysis of the two research subjects, it was found that students with an abstract sequential thinking style experienced analogical reasoning errors at the Applying stage, in the form of errors in the use and construction of concepts. Both subjects also completed the inferring stage before returning to the encoding stage of the target problem.
Responding Component in Teacher Noticing and Self-Efficacy of Pre-Service Mathematics Teacher’s Practice Selfia Putri; Puguh Darmawan; Subanji, Subanji
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 11 No 1 (2026): Vol. 11 No. 1 (2026): March - August 2026
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This study investigates how the responding component of teacher noticing and self-efficacy is enacted in the teaching practices of a pre-service mathematics teacher. Using a descriptive qualitative approach with an intrinsic case study design, data were collected through video analysis of teaching practices by pre-service teachers, semi-structured interviews, and teaching documents. Data were analyzed using the interactive model of Miles and Huberman. The results of the analysis show that the responding aspect in teacher noticing is consistently related to the teacher’s self-efficacy dimension. However, the responding is still at the procedural response level and does not reach the student’s thinking analysis that could encourage conceptual understanding abilities. Self-efficacy is relatively strong in student engagement but less evident in instructional strategies and classroom management. These findings provide an integrated understanding of how learning actions emerge from the interplay between teachers’ responding and their self-efficacy, supporting more responsive and student-oriented mathematics learning.
Penalaran Proporsional Siswa Kelas IV Sekolah Dasar dalam Menyelesaikan Masalah Missing Value Perkalian dan Pembagian Kaisra Alfikri Islami; Subanji Subanji; Riska Pristiani; Erry Hidayanto
Jurnal Inovasi Pendidikan dan Pembelajaran Sekolah Dasar Vol 9, No 2 (2025): JIPPSD
Publisher : Universitas Negeri Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/jippsd.v9i2.136744

Abstract

The purpose of this study is to describe the proportional reasoning of fourth-grade students in solving missing value problems in multiplication and division. Using a descriptive qualitative design, the study involved 26 fourth-grade students at SDN Lowokwaru 5 Malang City. Data collection methods included tests, observations, interviews, and documentation. The findings reveal that students demonstrate better proportional reasoning in multiplication contexts through scaling strategies, where they can identify multiplicative factors and apply them consistently. However, students encounter greater difficulties in division contexts, particularly in unit rate reasoning. Most students still rely on additive strategies when solving division problems, indicating they remain at the pre-proportional stage. The analysis shows five reasoning stages: understanding the situation and identifying quantities, forming ratio representations, identifying multiplicative structures, applying solution strategies, and evaluating ratio equivalence. Students who successfully form structured representations (tables, fractions, arrows) tend to reach multiplicative reasoning, while those using unstructured representations remain trapped in additive patterns. This research provides important insights for developing teaching strategies that strengthen conceptual understanding of proportional relationships at the elementary school level.
Co-Authors 'Adna, Syita Fatih Abdul Haris Rosyidi Abdul Haris Rosyidi Abdur Rahman As’ari Abdur Rohim, Abdur Abdurrahim Arsyad Afin Nur Latifa Agung Prasetyo Abadi Agus Prianto Ahmad Farid Haebah Akbar Sutawidjadja Akbar Sutawidjaja Akbar Sutawidjaja, Akbar Alhikma, Nur Alaviyah Alif Mudiono Alip Rahmawati Zahrotun Nisak Alyani, Nabila Nur Amalia Silwana Ana Fitriah ANDRIANI, RULI Anggraini Dwi Ikhwani Anggraini, Elisa Anjali, I Gusti Agung Shomia Annisa Andika Karisa Ari Kusuma Sulyandari Aribowo, Bayu Exsanty Arif Rahman Hakim Arifah Adlina Rashahan Astuti, Ririn Novia Aulia Nadia Sari Barep Yohanes Bhakti Setya Budi Budi, Bhakti Setya Cholis Sa’dijah Chusnul Ma'rifah Chusnul Ma'rifah Daroini, Mustain Bagus Deni Hamdani Dian Kurniati Didimus Nuham, Didimus Dimas Femy Sasongko Dwiyana Dwiyana Dwiyana Dwiyana Dyah Ayu Pramoda Wardhani Dyah Triwahyuningtyas Dyah Triwahyuningtyas Edy Bambang Irawan Eka Resti Wulan Eko Waluyo Elli Kusumawati Endang Trinoviawati Erry Hidayanto Evidiasari, Serli Fadhil Zil Ikram Feriyanto Feriyanto Hamdani, Deni Hamdani, Deni Hery Susanto Hery Susanto Hidayati, Vivi Rachmatul I Ketut Suada I Made Sulandra I Nengah Parta Iffanna Fitrotul Aaidati Ika Santia Indah Syafitri T Indriati Nurul Hidayah Intan Sari Rufiana Ipung Yuwono Iqbal Ramadani Irawati, Santi Irna Natalis Sanit Ishmatul Maula, Ishmatul Ismatul Maula Jennah, Mufliatul Kadek Adi Wibawa Kaisra Alfikri Islami Karolin Natalia T Khair Muhammad Sa'duddien Khair, Muhammad Sa'duddien Khalimatus Syuhriyah Laelinatul Choeriyah Laelinatul Choeriyah Laily Wijayanti Utami Lamowa, Rachmad Abubakar Lestary, Ratnah Lydia Lia Prayitno Lydia Lia Prayitno, Lydia Lia Makbul Muksar Malik, Fatus Atho'ul Manyunu, Muhamatsakree Martha Lestari Mega Fatimah Rosana Miftachus Sururoh Mohammad Dadan Sundawan Mufidha, Nurul Muhamatsakree Manyunu Muhammad Ainur Rizqi Muhammad Irfan Muhammad Irfan Muksar Makbul Muniroh Novisa Nabilah Mansur Nathasa Pramudita Irianti Nathasa Pramudita Irianti, Nathasa Pramudita Netti, Syukma Netti Syukma Ningtyas, Yoga Dwi Windy Kusuma Ninik Mutianingsih, Ninik Novi Nurhayati Novisa, Muniroh Nur Fitri Amalia Nur Hasan Nur Indah Permata Sari Nurul Mufidha Nury Azkiya Umamy Permadi, Hendro Puguh Darmawan Punaji Setyosari Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto, Purwanto Puspita Ayu Damayanti Putri Ariningtyas Putri, Nanda Azzahra Qohar, Abd. Rashahan, Arifah Adlina Refni Adesia Pradiarti Risa Utaminingsih Riska Pristiani Rizky Nova Damayanti Ruli Andriani Rustanto Rahardi Sandie Sartati, Setiawan Budi Satriya Adika Arif Atmaja Satriya Adika Arif Atmaja Sa’dijah, Cholish Selfia Putri Selly Meinda Dwi Cahyaningsih Serli Evidiasari Serli Evidiasari Setiawan Budi Sartati Silwana, Amalia Sisworo Sri Mulyati Sri Mulyati Sri Subarinah Sri Untari Suci Yuniati Sudirman Sudirman Sudirman Sudirman Sukorianto Sukorianto Sukoriyanto Suryaningrum, Christine Wulandari Susiswo Sutawdjaja, Akbar Sutawidjadja, Akbar Swasono Rahardjo Swasono Raharjo Swastika, Galuh Tyasing Syamsiar, Syamsiar Syamsul Hadi Syamsuri Syamsuri Syamsuri Syamsuri Syamsuri Syamsuri, Syamsuri Syarifudin Syarifudin Taufiq Hidayanto Tjang Daniel Chandra Toto Nusantara Umamy, Nury Azkiya Umardiyah, Fitri umi faizah Viving Laila Wahyu Santoso Wahyuningtiyas, Kharisma Wardhani, Indah Setyo Wasti Tampi Wasti Tampi Wulan Anindya Wardhani Yandi Raharjo, Eko Yanna Purwitaningsih Yoga Dwi Windy Kusuma Ningtyas Yoggy Febriawan Yundari, Yundari ‘Adna, Syita Fatih