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Subanji Subanji

Universitas Negeri Malang

Author-ID : 2388527

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Using APOS Theory Framework: Why Did Students Unable To Construct a Formal Proof? Syamsuri, Syamsuri; Purwanto, Purwanto; Subanji, Subanji; Irawati, Santi
International Journal on Emerging Mathematics Education IJEME, Vol. 1 No. 2, September 2017
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/ijeme.v1i2.5659

Mathematical thinking is necessary in mathematics learning especially in college level. One of activities in undergraduate mathematics learning is proving. This article describes students' thinking process who unable to construct mathematical formal proof. The description uses APOS Theory to explore students' mental mechanism and students' mental structure while they do proving. This research is qualitative research that conducted on students majored in mathematics education in public university in Banten province, Indonesia. Data was obtained through asking students to solve proving-task using think-aloud and then following by interview based task. Results show that the students could not construct a formal proof because they unable to appear encapsulation process. They merely enable to think interiorization and coordination. Based on the results, some suitable learning activities should designed to support the construction of these mental mechanism.

INTERFERENSI PROAKTIF DAN RETROAKTIF DALAM MENYELESAIKAN MASALAH PERBANDINGAN SENILAI DAN BERBALIK NILAI Malik, Fatus Atho'ul; Purwanto, Purwanto; Subanji, Subanji
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 2 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i2.6377

Interferensi berpikir merupakan fenomena yang terjadi ketika dua informasi tercampur dalam proses pemecahan masalah matematika, khususnya pada topik perbandingan senilai dan berbalik nilai. Fenomena ini penting untuk diteliti karena konsep perbandingan berkaitan erat dengan konsep matematika lainnya. Penelitian ini bertujuan untuk mengungkap terjadinya interferensi berpikir siswa dalam menyelesaikan masalah perbandingan senilai dan berbalik nilai. Subjek dalam penelitian ini terdiri dari dua siswa kelas VII A dan VII B yang terindikasi mengalami interferensi proaktif dan retroaktif. Penelitian ini dilaksanakan di MTs Sunan Kalijogo Kota. Metode penelitian ini adalah deskriptif kualitatif. Hasil dari penelitian ini menunjukkan intereferensi retroaktif terjadi ketika konsep perbandingan senilai dipengaruhi konsep perbandingan berbalik nilai. Hal tersebut dikarenakan kemiripan prosedur perbandingan senilai dan berbalik nilai. Akibantnya, siswa menggunakan prosedur perbandingan berbalik nilai dalam menyelesaikan permasalahan perbandingan senilai. Sedangkan, interferensi proaktif terjadi ketika konsep perbandingan senilai mempengaruhi konsep perbandingan berbalik nilai. Hal tersebut dikarenakan memori siswa terhadap perbandingan senilai lebih kuat daripada perbandingan berbalik nilai. Akibatnya, Akibantnya, siswa menggunakan prosedur perbandingan senilai dalam menyelesaikan permasalahan perbandingan berbalik nilai.In solving mathematics problems, sometimes students make errors caused by mixing two pieces information. This phenomenon is known as interference. One of the problems can cause interference is the problem of directly proportional and inversely proportional. Interference in solving the problem of directly proportional and inversely proportional is importent to know because the concept of proportional is related to other mathematical concepts. This research aims to reveal the occurence of students’ thinking interference in solving the problem of directly proportional and inversely proportional. The subjects in this reserach consisted two of students in class VII A and VII B who had indications of experiencing proactive and retroactive interference. This research was conducted at MTs Sunan Kalijogo Malang City from 1 to 30 september 2022. The research method is descriptive qualitative. The results of this research show that retroactive interference occurs when the concept of directly proportional is disturbed by the concept of inversely proportional. It is based on similarity the procedure in problem solving of directly proportional and inversely proportional. As a result, students use the procedure of inversely proprotional for solving the problem of directly proportional. While proactive interference when the concept of directly proportional disturbes the concept of inversely proportional. This is because students' memory for direct proportion is greater than indirect proportion. As a result, students use the procedure of directly proprotional for solving the problem of inversely proportional.

Metacognitive Failure in Constructing Proof and How to Scaffold it Wulan, Eka Resti; Subanji, Subanji; Muksar, Makbul
Al-Jabar: Jurnal Pendidikan Matematika Vol 12 No 2 (2021): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v12i2.9590

This research aims to describe the students’ metacognitive failure in constructing proof and the scaffolding support. The participants of this qualitative case study were eight preservice mathematics teachers of six-semester, State University of Malang. We carried out a test about proof construction problems in Abstract Algebra. Then we verified the data using triangulation of constant comparative method from a test and a task-based interview with the stimulated recall. The results indicated two groups of students in proving strategy. Group I performed “appropriate” syntactic strategy and Group II vice versa. Blindness was experienced by the subject that does not recognize errors detection or the ambiguity of the proof. Mirage occurred when the subject recognizes an error detection on the proper strategy or application of a theorem, then is unable to verify the truth of his work. Misdirection appeared when the subject recognizes a lack of progress, then uses an incomplete or irrelevant concept. Vandalism emerged with no progress or detection of errors of the strategy then the subject performs some irrelevant steps to the issue or uses a misconception. Practically, the teachers can use these results for learning innovations in scaffolding-based proof courses. The scaffolding might need some development and application in supporting students to overcome difficulty in proving mathematical sentences.

Analisis Penerapan Inkuiri Secara Daring dengan Scaffolding Berbantuan Geogebra Materi Fungsi Kuadrat Mufidha, Nurul; Subanji, Subanji
JRPM (Jurnal Review Pembelajaran Matematika) Vol. 7 No. 2 (2022)
Publisher : Department of Mathematics Education, Faculty of Tarbiyah and Teacher Training, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/jrpm.2022.7.2.124-146

This study aims to analyze and describe the application of online inquiry learning with the GeoGebra-assisted scaffolding technique on quadratic function material in grade IX students at SMP Negeri 1 Malang. This research is a qualitative descriptive study, with the instruments used in the form of a learning implementation sheet, student activity sheets, student learning outcomes tests, questionnaires, and interviews. The results showed that learning according to the steps of inquiry had gone very well with an average implementation score of 94.5. Learning is carried out by scaffolding through questions directed at focusing, inviting, reminding, clarifying, and evaluating so that it is compatible with inquiry learning which is applied online. Student learning outcomes reached an average score of 73 daily tests in the good category.

Analysis Of Student Positioning In Group Discussions On The Material Of Functional Relations To Students Activeness Jennah, Mufliatul; Subanji, Subanji
Phenomenon : Jurnal Pendidikan MIPA Vol. 14 No. 1 (2024): Jurnal Pendidikan MIPA
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/phen.2024.14.1.21058

Group discussions are an effective teaching method for enhancing collaboration and student understanding through social interaction. In this process, each group member not only contributes ideas but also actively positions themselves within the group's social structure. Positioning theory explains that the position one adopts during interactions, whether consciously or unconsciously, influences roles, power, and the dynamics of the discussion, ultimately affecting the outcomes and contributions of each member. This research aims to describe the patterns of student positioning in group discussions on the topic of function relations. The research method employed is qualitative descriptive. Data were collected by recording group discussion-based learning over four sessions, then two groups were selected for further analysis of the interactions during the discussions. Positioning theory demonstrates how students position themselves based on the interactions during group discussions. The research reveals that novice students tend to participate passively, facilitator students play a role in providing for the needs of the discussion, while expert students often make statements to provide information. There is a change in student positioning from expert to beginner, beginner to expert, facilitator to beginner, and beginner to facilitator. Additionally, some expert students and facilitator students consistently maintain their respective positions.

Analisis Kemampuan Berpikir Kritis Matematis Siswa Pada Pembelajaran Problem Posing Andriani, Ruli; Subanji, Subanji; As'ari, Abdur Rahman
BRILIANT: Jurnal Riset dan Konseptual Vol 6 No 3 (2021): Volume 6 Nomor 3, Agustus 2021
Publisher : Universitas Nahdlatul Ulama Blitar

Penelitian ini bertujuan untuk mendeskripsikan kemampuan berpikir kritis siswa pada pembelajaran problem posing. Penelitian ini dilakukan di MA Unggulan Mambaâ€™ul Huda kelas XI MIA. Metode penelitian yang digunakan adalah deskriptif dengan pendekatan kuantitatif. Instrumen yang digunakan pada penelitian ini yaitu soal tes dan wawancara mendalam. Hasil penelitian menunjukkan bahwa kemampuan interpretasi, inferensi dan evaluasi memiliki nilai 80,05; 79,75; dan 78,17 dengan kriteria baik. Sedangkan kemampuan analisis memiliki nilai 68,18 dengan kriteria cukup. Kemampuan berpikir kritis siswa secara keseluruhan, pada kategori tinggi mencapai persentase 33,3 %, kategori sedang dengan persentase 44,5 % dan kategori rendah mencapai 22,2 %.

Analisis Aktivitas Diskusi Kelompok dalam Memberikan Umpan Balik (Feed Back) pada Pembelajaran Program Linier Budi, Bhakti Setya; Susiswo, Susiswo; Subanji, Subanji
BRILIANT: Jurnal Riset dan Konseptual Vol 6 No 4 (2021): Volume 6 Nomor 4, November 2021
Publisher : Universitas Nahdlatul Ulama Blitar

Penelitian ini bertujuan untuk mendeskripsikan aktivitas diskusi yang dilakukan siswa dalam kelas. Aktivitas yang diteliti meliputi aktivitas verbal guru, aktivitas verbal siswa, serta aktivitas umpan balik yang dilakukan guru dan siswa. Jenis penelitian ini adalah penelitian deskriptif. dengan materi Program Linier. Metode pengambilan data dengan menggunakan video rekaman pembelajaran kemudian dibuat transkrip percakapan. Hasil penelitian menunjukkan bahwa dengan model pembelajaran diskusi kelompok yang diintegrasikan dengan umpan balik dapat memberi kesempatan siswa belajar dari ide/gagasan orang lain dan dapat segera mengatasi kesulitan yang dialami serta dapat memperkuat keyakinan atas tanggapan yang benar. Siswa belajar bagaimana berkomunikasi, menghargai orang lain dalam berpendapat, serta bagaimana membuat keputusan.

Students’ Conjectures on Open Classical Analogy Problem: Expanding or Narrowing? Rosyidi, Abdul Haris; Sa’dijah, Cholish; Subanji, Subanji; Sulandra, I Made
Jurnal Pendidikan Progresif Vol 14, No 1 (2024): Jurnal Pendidikan Progresif
Publisher : FKIP Universitas Lampung

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

Abstract: Students' Conjectures on Open Classical Analogy Problem: Expanding or Narrowing?. Objectives: This study aims to describe students' mathematical conjecture in the context of open classical analogy problem. Methods: This descriptive research describes students' conjectural profiles using open classical analogies. Data were collected from the responses of 68 students. Data analyzed using constructor example, process, and quality of the conjecture. Findings: Results show that the example of constructing the conjecture has not paid attention to all possible cases, while the process of the conjecture used by students was from simple to more expanding or narrowing. Some of the proposed conjecture quality does not include the necessary constraints, and some include unnecessary limitations. Students can add to statements that sharpen the conjecture proposed previously. Conclusion: The results of this study indicate that in the construction of conjectures in the context of an open classical analogy, students involve their critical thinking skills. Keywords: conjecture, example, open classical analogy, process, quality of conjecture.DOI: http://dx.doi.org/10.23960/jpp.v14.i1.202419

Komunikasi Matematis Tulis Siswa SMP pada Materi Aljabar Ditinjau dari Kemampuan Matematika Santoso, Wahyu; Purwanto, Purwanto; Subanji, Subanji
Jurnal Cendekia : Jurnal Pendidikan Matematika Vol 7 No 1: Jurnal Cendekia: Jurnal Pendidikan Matematika Volume 7 Nomor 1 Tahun 2023
Publisher : Mathematics Education Study Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/cendekia.v7i1.1977

This study aims to describe the written mathematical communication of class IX-F students of SMPN 2 Sumberpucung in solving algebraic problems in terms of mathematical ability. This study uses a qualitative method with a descriptive research type. There were 6 subjects in this study who were selected based on the test scores at the end of the odd semester in mathematics and taking into account the teacher's suggestions representing each category of high, medium, and low mathematical ability. Based on the research, it was found that the students with high mathematical abilities could understand the problems given, could state the information provided and the questions asked, could make a settlement plan, could solve the problems given according to the completion steps used with the correct results, could write conclusions of the solutions obtained. Students with mathematical abilities currently know the information contained in the problem but are unable to understand the given problem, can mention the information provided and the questions asked, can make a settlement plan, can solve the problem according to the completion steps used with poor results correctly, can write conclusions from the solutions obtained. Students with low mathematical abilities cannot understand the problem given, can mention the information provided and the questions asked, cannot make a settlement plan, cannot solve the problem given according to the completion steps used with incorrect results, and cannot write down conclusions from the solutions obtained.

Pemosisian Siswa dalam Praktik Diskusi Kelompok pada Pembelajaran Matematika Alhikma, Nur Alaviyah; Subanji, Subanji; Muksar, Makbul
BRILIANT: Jurnal Riset dan Konseptual Vol 10 No 4 (2025): Volume 10 Nomor 4, November 2025
Publisher : Universitas Nahdlatul Ulama Blitar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.28926/briliant.v10i4.1985

This study aims to describe student positioning in mathematics group discussion practices. This research method is descriptive qualitative. The research subjects were 8 junior high school students who were divided into 2 groups. The researcher conducted the research for 3 meetings. Each meeting students were given questions about tubes and cones. Data collection was carried out by means of observation, documentation, and interviews regarding student interactions, conversations, and discussion activities. Data analysis was carried out by coding student conversations through negotiation and positioning systems. The results of the study stated that positioning is dynamic and changing, each student has a tendency in one of the positioning, and motivation is one of the characteristics of students who are positioned as facilitators. Knowing the positioning of each student is used as a reference for teachers to understand student characteristics, the right learning style for students, how to communicate with students, and give objective grades to students.

Co-Authors Abdul Haris Rosyidi Abdur Rahman As’ari Abdur Rohim Abdur Rohim, Abdur Abdurrahim Arsyad Abdurrahim Arsyad, Abdurrahim Afin Nur Latifa Agung Prasetyo Abadi Agus Prianto 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 Anjar Triyono Annisa Andika Karisa Ari Kusuma Sulyandari Aribowo, Bayu Exsanty Arif Rahman Hakim Arifah Adlina Rashahan Astuti, Ririn Novia Atiqa Firdaus Aulia Nadia Sari Barep Yohanes Bhakti Setya Budi Budi, Bhakti Setya Cahyaningsih, Selly Meinda Dwi Cholis Sa’dijah Chusnul Ma'rifah Chusnul Ma'rifah Damayanti, Puspita Ayu Damayanti, Rizky Nova Deni Hamdani Desi Rahmadani Dian Kurniati Didimus Nuham, Didimus Dimas Femy Sasongko Dwiyana Dwiyana Dwiyana Dwiyana Dwiyana Dwiyana, Dwiyana Dyah Ayu Pramoda Wardhani Dyah Ayu Pramoda Wardhani, Dyah Ayu Pramoda Dyah Triwahyuningtyas Dyah Triwahyuningtyas Edy Bambang Irawan Eka Resti Wulan Eko Waluyo Eko Waluyo Elli Kusumawati Endang Trinoviawati Erry Hidayanto Evidiasari, Serli Fadhil Zil Ikram Feriyanto Feriyanto Feriyanto Feriyanto Fitri Umardiyah Fitriah, Ana Gusti Firda Khairunnisa Haebah, Ahmad Farid HAFIIZH, MOCHAMMAD Hamdani, Deni Hamdani, Deni Hery Susanto Hery Susanto Hidayati, Vivi Rachmatul I Gusti Agung Shomia Anjali I Ketut Suada I Made Sulandra I Nengah Parta Iffanna Fitrotul Aaidati Ika Santia Imam Rofiki Indah Syafitri T Indriati Nurul Hidayah Intan Sari Rufiana Ipung Yuwono Iqbal Ramadani Irna Natalis Sanit Isfina Adiyah Ishmatul Maula, Ishmatul Ismatul Maula Ismatul Maula Jamaliatul Badriyah Jennah, Mufliatul Kadek Adi Wibawa Karolin Natalia T Khair, Muhammad Sa'duddien Khalimatus Syuhriyah Laelinatul Choeriyah Laelinatul Choeriyah Laila, Viving Laily Wijayanti Utami Lamowa, Rachmad Abubakar Lestary, Ratnah Lydia Lia Prayitno 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 Mustain Bagus Daroini 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 Fitri Amalia Nur Hasan Nur Hasan Nur Indah Permata Sari Nur Qomaria Nurul Mufidha Nury Azkiya Umamy Permadi, Hendro Puguh Darmawan Punaji Setyosari Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto, Purwanto Purwitaningsih, Yanna Puspita Ayu Damayanti Putri Ariningtyas Putri, Nanda Azzahra Qohar, Abd. Rashahan, Arifah Adlina Refni Adesia Pradiarti Risa Utaminingsih Rizky Nova Damayanti Ruli Andriani Rustanto Rahardi Sandie Sanit, Irna Natalis Sartati, Setiawan Budi Satriya Adika Arif Atmaja Satriya Adika Arif Atmaja Sa’dijah, Cholish Selfia Putri Selly Meinda Dwi Cahyaningsih Serli Evidiasari Serli Evidiasari Silwana, Amalia Sisworo Siti Salina Mustakim Siti Sarah, Siti Slamet Slamet Arifin Sri Mulyati Sri Mulyati Sri Subarinah Sri Untari Sri Untari Stefani Putri Andrianti Suci Yuniati Sudirman Sudirman Sudirman Sudirman Sukorianto Sukorianto Sukorianto, Sukorianto Sukoriyanto Sururoh, Miftachus Suryaningrum, Christine Wulandari Susiswo Sutawdjaja, Akbar Sutawidjadja, Akbar Swasono Rahardjo Swasono Raharjo Swastika, Galuh Tyasing Syamsiar, Syamsiar Syamsul Hadi Syamsul Hadi Syamsuri Syamsuri Syamsuri Syamsuri Syamsuri Syamsuri, Syamsuri Syarifudin Syarifudin Syita Fatih 'Adna Syuhriyah, Khalimatus T, Indah Syafitri T, Karolin Natalia Tampi, Wasti Taufiq Hidayanto Tjang Daniel Chandra Toto Nusantara Umamy, Nury Azkiya umi faizah Vanie Dewi Rosliani Viving Laila Wahyu Santoso Wahyuningtiyas, Kharisma Wardhani, Indah Setyo Wasti Tampi Wasti Tampi Wulan Anindya Wardhani Wulan Anindya Wardhani, Wulan Anindya Yandi Raharjo, Eko Yanna Purwitaningsih Yoga Dwi Windy Kusuma Ningtyas Yoggy Febriawan Yoggy Febriawan, Yoggy Yunda Devana Tiningsih Yundari, Yundari ‘Adna, Syita Fatih

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