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Layers of Student Understanding Based on Pirie Kieren's theory in Solving Story Problems in Terms of Cognitive Style Nurul Ikhsan Karimah; Setiyani Setiyani; Ferry Ferdianto; Sri Sumarwati; Devi Heryanti
IJORER : International Journal of Recent Educational Research Vol. 5 No. 2 (2024): March
Publisher : Faculty of Teacher Training and Education Muhammadiyah University of Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46245/ijorer.v5i2.559

Abstract

Objective: Understanding lines and angles serves as the foundation for further mathematical topics such as trigonometry, geometry, calculus, etc. Students may struggle with advanced mathematical reasoning and problem-solving without a firm grasp of these basic concepts. This study aims to investigate how students' mathematical understanding processes are based on the folding back theory. Method: The research utilizes a qualitative approach with descriptive eksploratif design. Two subjects were selected from 28 seventh-grade students, each representing the field-dependent and field-independent cognitive style. Data was collected through mathematical comprehension tests, GEFT tests, and interviews. Data were analyzed through data reduction, data presentation, and verification stages, with each subject being interviewed to verify the processes. Results: Based on the research results, students in the field-independent cognitive style were much more active and better understood the problem-solving process than those in the field-dependent. However, both subjects still required learning assistance. Novelty: This research explores the folding back theory in the mathematical understanding process based on cognitive styles, whereas previous studies have mainly focused on mathematical comprehension abilities. Therefore, further research would benefit from using instructional media to better engage students in understanding the material.
Analisis Kemampuan Berpikir Kritis Matematis Siswa pada Materi Trigonometri Ditinjau dari Motivasi Belajar Ratna Yulia, Ervika; Ferdianto, Ferry
Pasundan Journal of Mathematics Education Vol. 13 No. 1 (2023): Pasundan Journal of Mathematics Education
Publisher : Program Magister Pendidikan Matematika, Pascasarjana, Universitas Pasundan in collaboration with Asosiasi Guru Matematika Indonesia (AGMI) and Indonesian Mathematics Educators' Society (IMES)

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Abstract

Berdasarkan observasi lapangan yang dilakukan oleh peneliti di salah satu Madrasah Aliyah Negeri (MAN) yang ada di Kabupaten Cirebon diperoleh fakta bahwa hasil pengerjaan tugas dan penilaian harian matematika siswa kurang memuaskan. Siswa juga sering terlambat mengumpulkan tugas. Peneliti melihat bahwa hal tersebut terjadi karena kurangnya motivasi belajar siswa terhadap pelajaran matematika. Penyebab lainnya adalah karena siswa mengalami kesulitan dalam menyelesaikan soal yang menuntut kemampuan berpikir kritis matematis pada pokok bahasan trigonometri. Sehingga tujuan dari penelitian ini adalah untuk menganalisis kemampuan berpikir kritis matematis siswa pada materi trigonometri ditinjau dari motivasi belajar. Metode penelitian menggunakan penelitian deskriptif kualitatif. Instrumen yang digunakan yaitu angket motivasi belajar, soal tes kemampuan berpikir kritis matematis dan wawancara. Berdasarkan hasil penelitian, motivasi belajar siswa pada materi trigonometri di kelas XI MAN 1 Kabupaten Cirebon dikelompokan menjadi 3 kategori yaitu 10% untuk motivasi belajar kategori tinggi, 73% untuk motivasi belajar kategori sedang, dan 17% untuk motivasi belajar kategori rendah. Siswa dengan motivasi belajar kategori tinggi memiliki kemampuan berpikir kritis matematis yang berbeda, yaitu terdapat kategori sangat tinggi dan kategori tinggi. Siswa dengan motivasi belajar kategori sedang memiliki kemampuan berpikir kritis matematis rendah. Sedangkan siswa dengan motivasi belajar rendah memiliki kemampuan berpikir kritis matematis sangat rendah.
Analisis Kemampuan Pemecahan Masalah Matematis Konseptual Ditinjau dari Gaya Kognitif Field Independent (FI) dan Field Dependent (FD) Siswa SMA Sutyani, Tiana; Aminah, Neneng; Ferdianto, Ferry; Citra, Yulia
Teorema: Teori dan Riset Matematika Vol 8, No 2 (2023): September
Publisher : Universitas Galuh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25157/teorema.v8i2.11582

Abstract

ABSTRAKPentingnya kemampuan pemecahan masalah matematis kontekstual siswa tidak sesuai dengan fakta yang ada. Realita di lapangan kemampuan siswa dalam memecahkan masalah kontekstual bervariasi dan banyak yang masih rendah. Hal tersebut dapat dipengaruhi oleh faktor psikologis siswa yang berkaitan dengan perbedaan dalam menerima dan memproses informasi dalam memecahkan masalah yang disebut gaya kognitif. Penelitian ini bertujuan untuk mendeskripsikan kemampuan pemecahan masalah matematis kontekstual siswa SMA ditinjau dari gaya kognitif field independent (FI) dan field dependent (FD). Penelitian ini menggunakan pendekatan kualitatif dengan metode deskriptif. Subjek penelitian adalah kelas X berjumlah 6 yang dipilih dengan metode purposive sampling. Proses pemecahan masalah siswa diperoleh dengan instrumen TKPMMK dan wawancara yang telah divalidasi, sedangkan klasifikasi tipe Gaya kognitif FI dan FD siswa ditentukan dengan tes standar GEFT. Persentase jumlah gaya kognitif siswa FD pada kelas penelitian adalah 55,88% sedangkan FI sebesar 44,12%. Selain itu, hasil penelitian FI-K dan FI-S memiliki kemampuan yang baik dalam memecahkan masalah kontekstual, Kemampuan pemecahan masalah matematis kontekstual FI-L dan FD-K tergolong cukup, sedangkan kemampuan pemecahan masalah matematis kontekstual FD-S dan FD-L tergolong kurang. Dengan kata lain siswa dengan gaya kognitif field independent memiliki kemampuan pemecahan masalah matematis kontekstual baik dan cukup, sedangkan siswa bergaya kognitif field dependent memiliki kemampuan pemecahan masalah matematis kontekstual cukup dan kurang.
Pierre Kieren's theory: the folding back process in mathematical problem solving Utami, Rini; Setiyani, Setiyani; Sundawan, Mohammad Dadan; Sumarwati, Sri; Ferdianto, Ferry
Journal of Education and Learning (EduLearn) Vol 19, No 3: August 2025
Publisher : Intelektual Pustaka Media Utama

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/edulearn.v19i3.21708

Abstract

The learning of mathematics generally undergoes a less effective and less appealing learning process, resulting in students’ perceived lack of mastery of the material. Consequently, students’ insufficient understanding of the concepts leads to a lack of folding back. In the process of understanding, it influences individual characteristics, where two characteristics are cognitive styles: field-dependent and field-independent. The researcher aims to understand how the folding back process occurs in students with field-dependent and field-independent cognitive styles when solving story problems. This research is a descriptive qualitative study, with 2 students selected from a total of 28 students in class VII-A as subjects. The selected subjects have high mathematical abilities and are classified into the categories of field-dependent and field-independent cognitive styles. Data collection involves comprehension tests, group embedded figure test (GEFT), and interviews. Data analysis consists of stages such as data reduction, data presentation, and verification. Each subject is interviewed to verify their process of solving the given problems. The results of the research conclude that students with the field-independent cognitive style category have a better understanding of the material, concepts, and problem-solving compared to students in the field-dependent category.
MINIMALISIR KETAKUTAN MASYARAKAT MELALUI SOSIALISASI DAN SIMULASI PEMBERIAN BANTUAN HIDUP DASAR (BHD) Ferdianto, Ferry; Putra, Sandy Dwiana; Fathiy, Naufal Zahiril; Raissa, Indira
Jurnal Abdimas Bina Bangsa Vol. 6 No. 1 (2025): Jurnal Abdimas Bina Bangsa
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/jabb.v6i1.1735

Abstract

Emergency situations do not only occur due to very dense traffic, but also often occur within the family and community, all of these situations need to be resolved immediately in a matter of minutes or even seconds, so practical knowledge is needed for all people about first aid in emergencies. First aid in emergencies is a series of first efforts that can be done in emergency conditions in order to save patients from death which is better known as Basic Life Support (BLS). BLS socialization and simulation programs are needed to improve community knowledge and skills. This activity is carried out through initial observation, socialization with presentations and demonstrations, and evaluation using pre-tests and post-tests. The evaluation results showed a significant increase in participant understanding, with 42% achieving a good level of understanding after participating in the activity. The supporting factors for the success of this activity were support from village officials and active community participation. Although there were obstacles such as time constraints, this activity provided great benefits in improving community preparedness in emergency situations. With positive results, this education model can be applied in other areas to improve public health literacy.
THE PROFILE OF CREATIVE THINKING PROCESS: PROSPECTIVE MATHEMATICS TEACHERS Gunawan, Gunawan; Ferdianto, Ferry; Mulyatna, Fauzi; Untarti, Reni
JURNAL EDUSCIENCE Vol 12, No 2 (2025): Jurnal Eduscience (JES), (Authors from United Kingdom, Nigeria, and Indonesia)
Publisher : Universitas Labuhanbatu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36987/jes.v12i2.6915

Abstract

Purpose The creative thinking process is one of the important components of creativity. The profile of the creative thinking process of prospective mathematics teachers based on the level of creativity is explained in this study.Methodology –The applied research method was qualitative with an exploratory approach. The research involved 35 prospective mathematics teachers in the Multivariable Calculus course. The data collection techniques were creative thinking tests and interviews. Data analysis uses data reduction techniques, presentation, and conclusion drawn.Findings –The stages of the creative thinking process include preparation, incubation, estimation, illumination, and verification stages. The study results show that the profile of the creative thinking process of students in the creative and creative category can find unique ideas, and their application is carried out in detail. Each stage of creative thinking is fulfilled clearly. Especially for the estimation stage, it is a new finding in the creative thinking process. The estimation stage makes a real contribution to the birth of creativity. The term to describe the estimation stage is "trial and error."Significance –The findings show that the estimation stage, or "trial and error," helps accelerate the acquisition of creative ideas. This stage is a strategic solution to increase creativity. However, using teaching materials or student worksheets must still be increased to implement the estimation stage in the problem-solving flow.
Analisis kemampuan pemahaman matematis siswa SMP pada materi sistem persamaan linear dua variabel Vika Oktoviani; Wiris Laras Widoyani; Ferry Ferdianto
Edumatica : Jurnal Pendidikan Matematika Vol 9 No 1 (2019): Edumatica: Jurnal Pendidikan Matematika (April 2019)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (346.301 KB) | DOI: 10.22437/edumatica.v9i1.6346

Abstract

Abstrak Penelitian ini bertujuan untuk mendeskripsikan kemampuan pemahaman matematis siswa SMP pada materi sistem persamaan linear dua variabel (SPLDV). Hal ini didasarikarena masih banyak siswa yang kurang memahami konsep SPLDV sehingga siswa merasa kesulitan dalam memecahkanmasalah matematis. Penelitian ini merupakan penelitian deskriptif kualitatif. Subjek dalam penelitian ini adalah siswa SMP.Teknik pengumpulan data menggunakan teknik tes berupa soal uraian yang berjumlah 4 soal dan tiap soal mewakili masing – masing indikator kemampuan pemahaman matematis. Hasil penelitian menunjukkan bahwa (1) Kemampuan pemahaman matematis pada indikator menyatakan ulang sebuah konsep, secara keseluruhan siswa dapat menjawab dengan benar sehingga mencapai tingkat pemahaman yang baik (2) Kemampuan pemahaman matematis pada indikatormengaplikasikan konsep atau algoritma terhadap penyelesaian masalah, siswa dapat membentuk model matematika, kemudian melakukan perhitungan, namun adakesalahan dimana siswa belum mampumenginterpretasikan masalah yang di berikan dengan tepat. Kata kunci: kemampuan pemahaman matematis, siswa SMP, SPLDV. Abstract This study aims to describe the ability of mathematical understanding of junior high school students in the material system of two variable linear equations (SPLDV). This is based on the fact that there are still many students who do not understand the concept of SPLDV so students feel difficulties in solving mathematical problems. This research is a qualitative descriptive study. The subjects in this study were junior high school students. The data collection technique uses a test technique in the from of a description question which amounts to 4 questions and each questions represent each indicator of mathematical understanding. The result showed that (1) the ability of mathematical understanding on the indicator restated a concept, as a whole students could answer correctly so that they reached a good level of understanding (2) the ability of mathematical understanding of indicators applying concepts or algorithms to problem solving, students could form models mathematics, then do calculations, but there are errors where students have not been able to interpret the problem given correctly. Keywords: ability of mathematical understanding, junior high school students, SPLDV
Integrated Differentiated Learning Social-Emotional Competence: An Innovative Solution to Numeracy Skills Gunawan, Gunawan; Pertiwi, Budi Wahyu; Ferdianto, Ferry; Akhsani, Lukmanul
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 2 (2025): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i2.28286

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A crucial aspect in various disciplines is numeracy skills. The purpose of the study was to determine the difference in the average social-emotional competence and numeracy skills of students before and after the implementation of differentiated learning that integrated social-emotional competence. The research was conducted at SMP Negeri Satu Atap 1 Cimanggu, Cilacap. The sample in this study was selected using the saturated slicing technique involving 22 grade VIII students. The type of research is an experimental study that uses a pre-experimental design with a one-group pre-test post-test method. The data collection techniques used include observation, tests, and questionnaires. There are 20 questions in the questionnaire. Data analysis was carried out quantitatively using paired sample t-tests and descriptive statistics. Before conducting the analysis, a prerequisite test was carried out using a normality test to test the distribution of data. The results of the study showed that the numeracy skills had a significance value of 0.200 (>0.05) and the social-emotional competence had a significance value of 0.11 (>0.05) which showed that the data was normally distributed. The results of the analysis showed that the value of the t-test of numeracy was 49.423 (t-test > ttable), with a significance value (2-tailed) < 0.05 (0.00 < 0.05). For KSE, the statistical value of the t-test was 27.54 with a very small p-value (5.75×10⁻¹⁸) indicating that there is a significant difference in the average value of numeracy skills and KSE before and after the implementation of integrated differentiation learning KSE. Integrated differentiation learning KSE can be applied to improve numeracy skills. The results of this study can be used as a solution to overcome the low mathematical numeracy skills of students.
Designing a digital teaching module based on mathematical communication in relation and function Setiyani; Putri, Dian Permana; Ferdianto, Ferry; Fauji, Sandi Hermana
Journal on Mathematics Education Vol. 11 No. 2 (2020): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

The purpose of this study is to design a digital module based on mathematical communication skills. This a development research which is carried out to determine the use of poor learning media and students’ low comprehensive skills in understanding mathematical topics associated with relations and functions. One of the solutions used to overcome this problem is by designing a digital teaching module using media. The research and development method consisting of Analysis, Design, Development, implementation, and Evaluation (ADDIE), were used to carry out this study. The results showed that the digital module is highly valid with a total expert validation of 95.1% and in the very good category. Also, the students' response to the digital module is in the very good category, with a total response criterion of 89.8%. Therefore, the designed digital module has the ability to improve students' independence in learning because its use is not limited to classrooms.
How Self-Efficacy Shapes Mathematical Analytical Thinking: A Qualitative Study using Action-Process-Object-Schema Theory Gunawan, Gunawan; Ferdianto, Ferry; Untarti, Reni; Akhsani, Lukmanul
Jurnal Pendidikan MIPA Vol 26, No 1 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i1.pp754-778

Abstract

Analytical thinking enables students to solve complex problems in a systematic and measurable manner. This study examined students' analytical thinking processes in relation to self-efficacy using the Action-Process-Object-Schema (APOS) theory. The researchers employed a qualitative method with an explanatory approach. They selected mathematics education students from Universitas Muhammadiyah Purwokerto who were enrolled in a sequence convergence course as research subjects. To collect data, the researchers used analytical thinking tests, questionnaires, and interviews. Based on the self-efficacy questionnaire, the researchers classified students into high, medium, and low self-efficacy groups. They selected one informant from each category using purposive sampling. The data analysis involved three stages: data reduction, presentation of findings, and interpretation. The analytical thinking process included collecting, differentiating, organizing, and attributing. The findings showed that students in the high and medium self-efficacy groups demonstrated strong analytical thinking skills. They successfully completed all stages—collecting, differentiating, organizing, and attributing. In contrast, students with low self-efficacy lacked adequate prior knowledge and required assistance in applying mathematical concepts and completing proofs during the organizing stage. These students gathered only limited information at the collection stage due to a poor understanding of the main problem. As a result, they could only partially complete each stage of the analytical thinking process.      Keywords: analytic thinking process, APOS theory, self-efficacy.