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Sufyani Prabawanto, Sufyani

Indonesia University Of Education

Author-ID : 580979

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Cognitive Flexibility of Students in Solving Mathematical Problems: A Phenomenology Study Siregar, Rama Nida; Suryadi, Didi; Prabawanto, Sufyani; Mujib, Abdul
Kreano, Jurnal Matematika Kreatif-Inovatif Vol 13, No 2 (2022): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : Mathematics Dept, Math. and Science Faculty, Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v13i2.40220

The importance of students' cognitive flexibility abilities in solving mathematical problems is the driving force behind this research. This study's goal was to identify and characterize students' levels of cognitive flexibility in handling mathematical problems in light of the indicators. This kind of study uses qualitative research techniques and a phenomenological design. The instrument employed is a test of problem-solving skills that has been supplemented with markers of cognitive flexibility to see the talents that have been assessed and interviews to learn more in-depth. In this study, data on students' capacities for cognitive flexibility in solving mathematical problems were collected and analyzed utilizing exams for such problem-solving and the indicators employed. Two markers of cognitive flexibility are included in this examination of mathematical problem-solving skills: (1) offering several interpretations of a picture, story, or mathematical issue, and (2) applying a variety of mathematical problem-solving techniques. According to the findings of this study, 5 participants fell into the flexible category, 6 people fell into the somewhat flexible category, and 4 participants fell into the less flexible category when it came to their ability to solve mathematical problems. The research's relevance is that future researchers and educational practitioners can attempt to construct learning to improve students' cognitive flexibility abilities in solving mathematical issues. This can be investigated in topics other than social arithmetic.Latar belakang penelitian ini yaitu pentingnya kemampuan cognitive flexibility siswa dalam pemecahan masalah matematis. Penelitian ini bertujuan untuk mengetahui serta mendeskripsikan kemampuan cognitive flexibility siswa dalam pemecahan masalah matematis berdasarkan indikatornya. Jenis penelitian ini adalah desain fenomologi dengan metode kualitatif. Adapun penggunaan tes kemampuan pemecahan masalah yang telah diliputi indikaor kemampuan cognitve flexibilty untuk melihat kemampuan cognitive flexibilty yang telah diujikan dan wawancara untuk mengetahui lebih mendalam merupakan instrumen penelitian ini. Dalam penelitian ini, data diperoleh untuk melihat kemampuan cognitive flexibility siswa dalam pemecahan masalah matematis yang dianalisis menggunakan tes pemecahan masalah matematis berikut indikator nya. Tes pemecahan masalah matematis ini memuat dua indikator kemampuan cognitive flexibility yaitu: 1) memberikan berbagai penafsiran terdapat suatu gambar, cerita, atau masalah matematis; dan 2) menggunakan beragam strategi penyelesaikan masalah matematis. Kesimpulan yang diperoleh dalam penelitian ini terkait kemampuan cognitive flexibility siswa dalam pemecahan masalah matematis sebanyak 5 partisipan berada pada kategori fleksibel, 6 partisipan berada pada kategori cukup fleksibel, dan 4 partisipan berada pada kategori kurang fleksibel. Sehingga implikasi dalam peneltian adalah agar para peneliti selanjutnya maupun praktisi pendidikan dapat berupaya mendesain pembelajaran untuk meningkatkan kemampuan cognitive flexibility siswa dalam pemecahan masalah matematis dan dapat diteliti pada materi lain selain aritmatika sosial.

Mathematic Resilience Ability of Students in Linear Program Material with Blanded Learning in the Era of Pandemic Laelasari, Laelasari; Darhim, Darhim; Prabawanto, Sufyani
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.6961

Mathematical resilience is a multidimensional construct in positive psychology focusing on mental health. The education system in Indonesia changed the 2019 Novel Coronavirus (COVID-19) pandemic. This pandemic event provides an opportunity for academics to take further academic decisions in the future. Good mathematical resilience skills are needed to prepare students to carry out the Tri Dharma of Higher Education. The purpose of this study is to comprehensively examine mathematical resilience skills using a blended learning model during a pandemic. This type of research uses case study research and is descriptive. The research was conducted on fourth-semester students of the 2020-2021 academic year at a private university in Cirebon, West Java, with research subjects consisting of 37 students. The data was obtained from a mathematical resilience questionnaire in linear program lectures using a blended learning model. Collecting data using a questionnaire instrument was analyzed using the formula for the distribution of frequencies and percentages. The results showed that students' mathematical resilience skills using blended learning in the Linear Program courses during the Covid-19 pandemic were good; previous research on the Linear Program courses obtained good results of resilience abilities but in different samples. The existence of the Covid-19 pandemic does not have much effect on mathematical resilience abilities.

KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA SMP PADA MATERI PERSEGIPANJANG BERDASARKAN KELOMPOK GAYA KOGNITIf FIELD INDEPENDENT Rizki, Raihan Ahmil; Sudihartinih, Eyus; Prabawanto, Sufyani
Differential: Journal on Mathematics Education Vol. 1 No. 1 (2023): Differential: Journal on Mathematics Education
Publisher : Universitas Muhammadiyah Palembang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32502/differential.v1i1.89

Tujuan penelitian ini yaitu untuk mendeskripsikan kemampuan pemecahan masalah matematis siswa SMP pada materi persegipanjang berdasarkan kelompok gaya kognitif Field Independent (FI). Penelitian ini adalah penelitian kualitatif dengan desain penelitian studi kasus yang melibatkan dua siswa kelas VIII SMP Negeri di Kota Bandung. Banyaknya partisipan pada penelitian ini yaitu 29 orang yang diambil dua siswa FI. Instrumen yang digunakan pada penelitian ini yaitu Instrumen Group Embedded Figure Test, tes kemampuan pemecahan masalah siswa pada materi persegipanjang dan wawancara. Kemampuan pemecahan masalah matematis dianalisis menggunakan Teori Polya. Pada langkah memahami masalah, siswa dengan gaya kognitif FI cenderung lebih dapat memahami masalah secara rinci atau secara analitik. Pada langkah merencanakan penyelesaian, siswa FI dapat dengan baik menyusun strategi penyelesaian permasalahan. Pada langkah melaksanakan rencana, siswa FI dapat melaksanakan perencanaan yang dimiliki dengan perhitungan yang sesuai dengan rencana. Pada langkah memverifikasi jawaban, siswa FI cenderung dapat membuktikan jawaban yang didapatkan baik dalam rencana maupun perhitungan yang dibuat, bahkan siswa FI dapat menguji kembali jawaban yang didapatkan dengan menggunakan langkah lain.

The Influence of Origami on Spatial Abilities in Mathematics Learning Nugraha, Candra; Prabawanto, Sufyani; Kurniawati, Ririn
PRISMA Vol 14, No 2 (2025): PRISMA
Publisher : Universitas Suryakancana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35194/jp.v14i2.5688

The essential mathematical ability related to geometric perception is spatial ability. Through this ability, one can develop geometric reasoning abilities in everyday life. In some literature, spatial ability is closely related to various applied fields in life. One way to develop and hone this ability is through the art of origami paper folding. In several studies, it has been found that origami can enhance students' spatial abilities at various educational levels. Origami is the art of folding paper that is utilized for teaching basic geometric shapes through folds that form simple structures, which can serve as a bridge for students to understand how the objects they fold are formed. This origami folding can be used to train and enhance the spatial abilities of students from various educational levels. Teaching origami can foster and develop students' enthusiasm in learning mathematics, especially geometry. Origami has a positive correlation with mathematics learning outcomes in the classroom, particularly regarding geometry topics.

Students' Pseudo-Thinking in Solving the Area of Obtuse Triangles: A Mindset-Based Perspective Adhitya, Yusuf; Wahyudin, Wahyudin; Prabawanto, Sufyani
Southeast Asian Mathematics Education Journal Vol 15, No 2 (2025)
Publisher : SEAMEO Regional Centre for QITEP in Mathematics

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46517/seamej.v15i2.474

The research aims to describe the different characteristics of students’ pseudo-thinking in solving areas of obtuse triangles based on their mindset. The categorization of pseudo-thinking is based on the Vinner and Subanji frameworks, while the mindset is categorized according to the Dweck framework. The research was conducted in one of the Junior High Schools in the Kebumen district with 111 students. The study employs a qualitative, grounded theory design. Data were collected through the math test, the mindset questionnaire, and the interview. The data were analyzed using a process that consists of open, axial, and selective coding to identify patterns of reasoning among students. The study found that students with a growth mindset exhibit both true and false pseudo-thinking, whereas students with a fixed mindset exhibit only true pseudo-thinking. Students with a growth mindset tend to engage in pseudo-thinking by misapplying the Pythagorean Theorem. On the other hand, fixed-mindset students often perform pseudo-thinking by using the incorrect formula. GMS is often overconfident in its old knowledge, leading to incorrect decisions, while FMS tends to focus solely on memorizing formulas and settings without reflection. This study is significant because it highlights how students’ mindsets influence their problem-solving abilities, particularly in geometric problems. Educators can use the insight gained from the study to develop effective learning strategies and help students grasp mathematics more deeply.

The Mechanism of Didactical Obstacles in the Pythagorean Theorem: From Visual Rigidity to Procedural Failure Dahlan, Jarnawi Afgani; Prabawanto, Sufyani; Bariyah, Nusrotul; Nti, Seth Junior
Jurnal Pendidikan MIPA Vol 26, No 4 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i4.pp2495-2517

Learning the Pythagorean theorem is a significant challenge at the junior high school level because students often struggle to understand concepts, connect geometric and algebraic representations, and solve contextual problems. Based on previous studies, students' difficulties indicate the presence of learning obstacles. Existing research has addressed students' difficulties, errors, and epistemological obstacles in solving Pythagorean theorem problems and has presented applications of the Pythagorean theorem. Therefore, this study aims to analyze students' didactic learning obstacles to the Pythagorean theorem topic. To achieve this goal, a qualitative case study was conducted. Data was collected through data triangulation: written tests, interviews, and document studies. At the data-collection stage, 30 students and two teachers participated. Based on the written test results, the answers exhibit various characteristics. At the analysis stage, it is performed using ATLAS.ti software. The results show that there is a form of didactic learning obstacles consisting of visual orientation obstacles and formula procedural obstacles. The Visual orientation obstacles include students' lack of understanding of triangle concepts. The procedural obstacles include students' incomprehension of algebraic representations, understanding of problem-solving, understanding of procedures beyond integers, and application of Puythagos' theorem formulas. Visual orientation obstacles cause formula procedural obstacles. The didactic factor that creates obstacles is the way the topic is presented and the teacher's approach to designing learning. Didactic obstacles analysis is an important step in formulating a hypothesis about how a concept should be taught. By knowing the didactic obstacles, teachers or researchers can develop a more accurate Hypothetical Learning Trajectory (HLT). This will lead to the design of learning activities that anticipate common mistakes and misconceptions. Keywords: didactical obstacle, learning obstacle, topic presentation analysis, textbooks, pythagorean theorem.

Investigating Students’ Mathematical Literacy in PISA Tasks Using Newman’s Theory Wahyudi, Dwi Arisma; Prabawanto, Sufyani
IndoMath: Indonesia Mathematics Education Vol 9, No 1 (2026): Vol 9 No 1, February 2026
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/indomath.v9i1.175

This study investigates the gap between technological ubiquity and stagnant mathematical literacy among Indonesian students. The research objective was to identify and analyze specific cognitive hurdles hindering students’ ability to solve contextual, PISA-adapted problems. Utilizing a qualitative descriptive design, the study involved 34 ninth-grade students in Kabupaten Bandung Barat. Subjects for semi-structured interviews were selected via purposive sampling, targeting those demonstrating representative error patterns across high, moderate, and low proficiency tiers. Data were analyzed using Newman’s Error Analysis (NEA) and validated through methodological triangulation. Results revealed that 52.94% of students possess low mathematical literacy, with the most critical barrier being transformation errors (58.36%), followed by comprehension (27.94%) and reading (14.70%). Qualitative findings indicate that these errors stem from three primary factors: contextual unfamiliarity with non-routine tasks, a detrimental dependency on teacher scaffolding, and conceptual deficits in processing decimal notation. The study concludes that students struggle to bridge the gap between narrative contexts and mathematical formalization. To mitigate these barriers, the research recommends the implementation of incremental scaffolding and explicit instructional strategies focusing on linguistic-to-mathematical translation to foster learner autonomy and higher-order thinking skills in the Indonesian educational framework.

(RE)CONCEPTUALIZING LINEAR EQUATIONS: A SNAPSHOT FROM TEACHING AND LEARNING IN INDONESIA Fardian, Dilham; Suryadi, Didi; Prabawanto, Sufyani; Jupri, Al
Jurnal Ilmiah Ilmu Terapan Universitas Jambi Vol. 9 No. 3 (2025): Volume 9, Nomor 3, September 2025
Publisher : LPPM Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/jiituj.v9i3.37450

This study aimed to describe the zone of concept image differences in linear equations in one variable and analyze its potential impact on mathematics learning. This research was qualitative and followed a phenomenological approach. Mathematical praxeology was used to analyze the content of the knowledge to be taught (Indonesian curriculum). In contrast, didactic praxeology was used to analyze the teaching methods involved in the taught knowledge (teacher). This study explores information obtained from human and non-human sources. The object of the study was a seventh-grade mathematics textbook used in Indonesian middle schools, which refers to the Merdeka curriculum. The results showed differences in concept image between scholarly knowledge, knowledge to be taught, and knowledge regarding the topic of linear equations in one variable. Teachers failed to understand the information provided in the mathematics textbook that the equal sign in the concept of a linear equation in one variable represents a quantitative equation, meaning the expression on the left side of the equal sign is equal to the expression on the right side of the equal sign. This research presents an alternative praxeological reference model as an implication for the field of education in Indonesia, allowing students to generate new knowledge as justified true belief independently. Policymakers can also utilize the model to design linear equations in one variable materials that are more aligned with students' abilities by providing a structured approach that takes into account the students' prior knowledge and learning pace.

How High School Students Solve Proportional Reasoning Problem? Ahmad Zulfa Khotimi; Sufyani Prabawanto; Al Jupri
Didaktik Matematika Vol 11, No 1 (2024): April 2024
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v11i1.36458

This research is motivated by the phenomenon of students' difficulties in solving proportional reasoning problems and the lack of proportional reasoning research at the high school level. This research aims to describe in depth the ability of high school students to solve proportional reasoning problems and learning obstacles that may occur. The method used is qualitative with a case study approach. The research subjects involved were 5 students from grades 10 to 12. The instruments used were tests and interview guides. The research results showed that there were 4 mistakes made by students in solving proportional reasoning problems, namely (1) Using the additional strategy in solving proportional reasoning problems; (2) Not being able to solve problems of indirect proportion; (3) Using multiplication strategies in solving non-proportional problems; and (4) Not being able to compare ratios. Concerning learning obstacles, there are 2 types of learning obstacles that are indicated to be experienced by students, namely epistemological obstacles and ontogenic obstacles. The results of this research can be used as a basis for carrying out further research in the form of research that designs learning flows and/or learning designs that can develop students' proportional reasoning abilities.

Exploring Students Mathematical Understanding according to Skemps Theory in Solving Statistical Problems Christina Monika Samosir; Jarnawi Afgani Dahlan; Tatang Herman; Sufyani Prabawanto
Didaktik Matematika Vol 10, No 2 (2023): October 2023
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v10i2.32598

Understanding a concept is not only for mastering the next concept. It is the foundational skill used to solve mathematical problems. This study aims to explore students' conceptual understanding.This research is qualitative research with phenomenology. The participants in this study consisted of 18 eighth-grade students from one of Bandung's private secondary schools. After the students were given the test, six students were selected as research subjects. This aims to ensure that data can be obtained thoroughly and comprehensively. Data collection techniques included tests, interviews, and observations, with research instruments comprising a test and an interview guideline. Data saturation has been achieved. The results of this study are as follows: 1) students with relational understanding are fewer in number than students with instrumental understanding. 2) students find it most difficult to use the interconnections of various mathematical concepts in solving problems. 3) students' difficulties are due to their lack of ability in the concept of basic operations and their lack of understanding of the problems. Therefore, teachers need to strengthen students' understanding of basic operations and the concepts of mean, mode, and median to effectively connect these concepts with their problems.

Co-Authors A.A. Ketut Agung Cahyawan W ABDUL MUJIB Abdul Mujib Aflich Yusnita Fitrianna Agung Wicaksono Ahmad Arifuddin Ahmad Nizar Rangkuti Ahmad Tafsir Ahmad Tafsir, Ahmad Ahmad Zulfa Khotimi Ahmad Zulfa Khotimi Ahmatika, Deti Aiyub Aiyub Alfitri, Putri Armania Agustina Alman Alman Alman Alman, Alman Aneu Pebrianti Anwar, Agus Saeful Asep Syarif Hidayat Asfar, A.M.Irfan Taufan Asfar, Andi Muhamad Iqbal Akbar Aswin Aswin Atep Sujana Augie, Kintan Tyara Bambang Eko Susilo Bambang Hariyomurti Bariyah, Nusrotul Cece Kustiawan Cecep Anwar Hadi Firdos Santosa Cecep Anwar Santosa Christina Monika Samosir Citra Utami, Citra Dadan Dasari Dadan Hermawan, Dadan Dadang Juandi Darhim Darhim Dela Ambarwati Desy Lusiyana, Desy Dian Cahyawati Dian Nopiyani Dian Usdiyana Didi Suryadi Didi Suryadi Didi Suryadi Doni, Petrus Kanisius Nama Edi Irawan Ejen Jenal Mutaqin Eka Novarina EKO YULIANTO Eko Yulianto Eko Yulianto Elah Nurlaelah Elizanti, Desi Encum Sumiaty, Encum Endang Cahya Mulyaning A. Eyus Sudihartinih Fardian, Dilham Fathiyah, Ifa Fatimah, Siti Febriani, Winarti Dwi Fitri Ayu Febrianti Fitriana Lestari Fitriani Fitriani Fujiarti, Ari Ginda M.A.Siregar Gita Rani Putri Mangiri Gumpita, Melly Terry Gunadi, Farid Hadi Haeruddin, Haeruddin Hani Nurhasanah Hayuningrat, Silfia Herizal Herizal Heryanti Jufri, Lucky Hutkemri Zulnaidi Iden Rainal Ihsan Ifa Fathiyah Inayah, Sarah Indiana Marethi Indiana Marethi, Indiana Indra Nurhidayat Irena Puji Luritawaty Istikomah, Endang Itoh Masitoh Jarnawi Afgani Dahlan Jozua Sabandar Jurpri, Al Jusniani, Nia Kartika Yulianti Kholipah, Nuzuliah Khotimah, Wonadesma Dwi Kintan Tyara Augie Kurniawati, Ririn Laelasari Laelasari, Laelasari Lina Siti Nurwahidah Lukman Lukman M Akbar Gulvara M Candra Nugraha Deni Mangiri, Gita Rani Putri Masitoh, Lisda Fitriana May Nisa Istiqomah Mefiana, Syifa Ananda Meicindy Jeny Klorina Meilani, Rini Melani, Rini Mimi Hariyani Mohamad Gilar Jatisunda Mustika Fauziah, Hilma Nabila Cynthia Rayhan Nadya Syifa Utami Nanang Priatna Nandang Arif Saefuloh Nazla Nurul Aulia Panggabean Nelvita Febrina Hasan ningrum, yunia jumita Nopiyani, Dian Nopiyani, Dian Novi Andri Nurcahyono Nti, Seth Junior Nuaini, Intan Nuke Fitri Yanuari Nur Qamariah Nurannisa, Andi Nurdiyah Kurniati Nurfiqih, David Nurhanifah, Nova Nurkamilah, Milah Permani, Kania Dewi Pertiwi, Saffanah PRASETYAWAN, ENGGAR Prihandhika, Aditya Putra R, Andika Putri, Amelia Defrianti Raisya Hizkiya Syabina Ramli Ramli Rani Sugiarni Rini Sulastri Riny Arviana Riza Fatimah Zahrah Rizki, Raihan Ahmil Rizky Rosjanuardi Rohimah, Siti Maryam Rosmayasari Rosmayasari Rosmayasari, Rosmayasari Saefuloh, Nandang Arif Saefuloh, Nandang Arif Samosir, Christina Monika Sandra Sukmaning Adji Santi, Eneng Sanusi Sanusi Saputra, Samnur Sarassanti, Yumi Sarnav Ituga, Almuhaimin Sendi Ramdhani Septian, Ari Simanjuntak, Sinitta Marito Siregar, Rama Nida Sitanggang, Damra Ali Siti Fatimah Siti Zakiyah Sofa, Rostika Nurlaela Nova Maya Suhendra, S Sukma Murni Sukri Sukri suparni Syamsuri Syamsuri Syarifah, Mufarrahatus Syarifah, Mufarrahatus Syifa Ananda Mefiana Tata Frarisia Tatang Herman, Tatang Tin Lam, Toh Trisna Nugraha Trisnowali MS, Andi Turmudi Umbara, Uba Umbara, Uba Usep Kosasih Wafa Islamiyah Wahyu Hidayat Wahyu Sopandi Wahyudi, Dwi Arisma Wahyudin Wahyudin Wahyudin Wahyudin Wahyudin Wahyudin Wahyudin Wardani, Ambarsari Kusuma Wenda Alifulloh Widdy Sukma Nugraha Yasin, Muhamad Yaya S. Kusumah Yeni Dwi Kurino Yeni dwi Kurino Yusuf Adhitya Zulnaidi, Hutkemri

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