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FENOMENA LITERASI SPASIAL SISWA: STUDI PADA GEOMETRI RUANG Itsna Lailatul Mas’udah; Sudirman Sudirman; Hery Susanto; Imam Rofiki
FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Vol 7, No 2 (2021): FIBONACCI: Jurnal Pendidikan Matematika dan Matematika
Publisher : Fakultas Ilmu Pendidikan Universitas Muhammadiyah Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24853/fbc.7.2.155-166

Abstract

Literasi spasial merupakan komponen penting yang harus dikuasai siswa. Literasi spasial mendukung pemahaman siswa tentang geometri ruang yang erat kaitannya dengan dunia nyata. Namun, fakta di lapangan menunjukkan bahwa kemampuan literasi spasial siswa rendah. Oleh sebab itu, penelitian ini menyelidiki fenomena literasi spasial siswa pada pemecahan masalah geometri ruang. Desain penelitian ini menggunakan pendekatan kualitatif. Peneliti memberikan soal literasi spasial kepada 5 siswa kelas XII SMA dan meminta siswa menyelesaikannya. Kemudian, wawancara dilakukan kepada setiap siswa secara individu. Pada artikel ini, peneliti mendeskripsikan satu siswa yang memiliki kemampuan komunikasi tertulis dan lisan paling baik di antara keempat siswa lainnya. Hasil penelitian ini menunjukkan bahwa dari tiga domain literasi spasial, siswa hanya mampu mencapai semua indikator-indikator domain visualisasi dan penalaran. Sedangkan untuk indikator-indikator domain komunikasi, siswa hanya mencapai dua dari empat indikator.
Penerapan Pembelajaran Inkuiri untuk Meningkatkan Hasil Belajar Peserta Didik Materi Integral Berbantuan Geogebra Darum Budiarto; Sudirman Sudirman; Erry Hidayanto
Jurnal Pendidikan Edutama Vol 9, No 2 (2022): July 2022
Publisher : IKIP PGRI Bojonegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30734/jpe.v9i2.1366

Abstract

Abstract: This study aims to describe the application of geogebra-assisted inquiry learning to improve student learning outcomes on integral material. This type of research is classroom action research (CAR). The subjects in this study were 36 students of class XI IPA-1 SMA Negeri 4 Bojonegoro. This research was conducted in two cycles. The results of this study are the application of inquiry learning to students of class XI IPA-1 SMA Negeri 4 Bojonegoro integral material with the help of geogebra can: (1) increase student learning outcomes by 4.5 points, namely in the first cycle the class average value is 68.3 and increased in the second cycle with a class average of 72.8; and (2) an increase in completeness between the first and second cycles by 8.4%, namely completeness in the first cycle by 69.4% and an increase in the second cycle by 77.8%. Abstrak: Penelitian ini bertujuan mendeskripsikan penerapan pembelajaran inkuiri berbantuan geogebra untuk meningkatkan hasil belajar peserta didik pada materi integral. Jenis penelitian ini adalah penelitian tindakan kelas (PTK). Subjek dalam penelitian ini adalah 36 peserta didik kelas XI IPA-1 SMA Negeri 4 Bojonegoro. Penelitian ini dilaksanakan dalam dua siklus. Hasil penelitian ini adalah penerapan pembelajaran inkuiri pada peserta didik kelas XI IPA-1 SMA Negeri 4 Bojonegoro materi integral dengan berbantuan geogebra dapat: (1) meningkatkan hasil belajar peserta didik sebesar 4,5 poin yaitu pada siklus pertama nilai rerata kelas 68,3 dan meningkat pada siklus kedua dengan nilai rerata kelas 72,8; dan (2) adanya peningkatan ketuntasan  antara siklus pertama dan siklus kedua sebesar 8,4% yaitu ketuntasan pada siklus pertama sebesar 69,4% dan meningkat pada siklus kedua sebesar 77,8%.  
INVESTIGATING PRE-SERVICE TEACHERS’ (PST) MATHEMATICAL THINKING TRAJECTORIES (MTT) IN SOLVING SYSTEM OF LINEAR EQUATIONS PROBLEMS Sudirman Sudirman; Ahmad Hasan Saifurrisal; Pradina Parameswari; Nego Linuhung
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 13, No 3 (2024)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v13i3.10388

Abstract

Linear algebra is an area of mathematics that is widely considered challenging. One of the subjects covered is the system of linear equations in two variables. During their first year of college, Pre-Service Teachers (PST) study this subject using increasingly sophisticated approaches and theories. The objective of this qualitative study is to classify and describe the Mathematical Thinking Trajectories (MTT) of PST in solving a system of linear equations in two variables problems. Thirty-three PST majoring in mathematics education who enrolled in the Errors and Misconceptions in Mathematics course participated in this study, which used written answers as research data. The Three Worlds of Mathematics theory framework is used in this study. Seven MTT classifications were identified by the research findings: (1) embodied, (2) symbolic, (3) embodied-symbolic, (4) symbolic-embodied, (5) formal, (6) embodied-symbolic-embodied, and (7) symbolic-embodied-symbolic. “Embodied” refers to how PST applies mathematical ideas that focus on actual objects, “symbolic” focuses on symbols, operations, and their properties, and “formal” focuses on definitions, theorems, and logical procedures. In learning practices, the results of this study can be applied to create learning that is meaningful and that fosters the growth of algebraic thinking abilities.
ANALISIS PEMOSISIAN SISWA PADA AKTIVITAS DISKUSI DENGAN BERBANTUAN PERUBAHAN KELOMPOK DI SEKOLAH DASAR Nury Azkiya Umamy; Sudirman Sudirman; Subanji Subanji
Muallimuna : Jurnal Madrasah Ibtidaiyah Vol 10, No 1 (2024): OKTOBER 2024
Publisher : Fakultas Studi Islam UNISKA MAB Banjarmasin

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31602/muallimuna.v10i1.15467

Abstract

Student positioning in discussion activities with group change patterns can be used to determine student positions when interacting with group members. Group changes are useful for deciding student positions in three meetings held. The purpose of this study was to describe how student positioning occurs in discussion activities with group change patterns. The research method used is descriptive qualitative research with a phenomenological type. The research instruments were group worksheets, student observation sheets, and documentation in pictures and recordings. Data analysis in this study was data reduction, data presentation, and conclusion. The results showed that with student positioning, students could determine their positions during interactions in discussion activities. The interaction resulted in group changes used to determine the differences in the positions of the four students at each meeting, as well as the consistency of student positioning to determine the extent to which the four students were consistent in providing ideas or suggestions.
The Characteristics of Students Engaged in Spontaneous Problem-Posing Syaiful Hadi; Cholis Sa’dijah; Sudirman Sudirman; I Made Sulandra; Sri Rahayuningsih
Jurnal Penelitian Pendidikan IPA Vol 10 No 2 (2024): February
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v10i2.6869

Abstract

Spontaneous problem posing is a basic concept of spontaneous mathematical thinking and science learning. Students generate problems without systematic encouragement and pose problems based on the student's desire to develop their skills. As a result, they can serve as important markers of constructive mathematical and science engagement, particularly affective engagement, for problem solvers and their classroom communities. We used a qualitative approach to analyze student characteristics, especially in the affective domain, when presenting random problems. We used an observational approach and experience sampling in each class to observe students' engagement in spontaneous problem posing both individually and in groups. The findings revealed that each student showed different characteristics when presenting problems suddenly (spontaneous problem posing). The submission of the first subject problem was categorized as problem-as-exercise, satisfying the characteristics of spontaneous originality, where constructive emotional experiences impressed more on the teacher, while negative emotional experiences impressed more on oneself (self), classmates, and mathematical activities. The submission of the second subject problem is classified as a problematic problem, fulfilling the characteristics of spontaneous originality. Negative emotional experiences are more visible in me (myself), while constructive emotional experiences are more visible in teachers, classmates, and math activities
Students' Thinking Literacy Process in Mathematical Problem-Solving Mukhlis Mukhlis; Cholis Sa’dijah; Sudirman Sudirman; Santi Irawati
Jurnal Penelitian Pendidikan IPA Vol 10 No 5 (2024): May
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v10i5.7676

Abstract

This study explores and investigates the process of students’ mathematical thinking literacy in solving mathematical problems. This qualitative descriptive research used a test sheet consisting of one item adapted from the PISA mathematical problem model and interview guidelines, as the instrument.  One male and two female participants were selected based on problem-solving characteristics. After that, task-based interviews were carried out to investigate the process of students’ mathematical thinking literacy. Data analysis was initiated by reviewing, reducing, and concluding all collected data to describe students’ mathematical thinking literacy in solving mathematical problems. The findings suggest that mathematical thinking literacy is initiated by understanding the problem (understanding), presenting the problem in a simpler form (specializing) to represent ideas, and creating patterns or relationships (generalizing).  Based on the relationship between the problem, the subject predicts a solution (conjecturing) or determines the solution to the problem, re-checks (justifying) the problem-solving process to find a logical final result, and communicates the reasons (convincing) to convince the truth of the results obtained. The results of this study help teachers understand the process of students’ mathematical thinking literacy in solving mathematical problems so that it can be used to determine the appropriate strategy in the learning process to improve students' mathematical problem-solving abilities
EFEKTIVITAS PEMBELAJARAN PROBLEM BASED LEARNING TERHADAP BERPIKIR KRITIS BERDASARKAN SELF-CONFIDENCE SISWA SMP Feriyanto Feriyanto; Abdur Rohim; Syita Fatih 'Adna; Subanji Subanji; Sudirman Sudirman
SIGMA: JURNAL PENDIDIKAN MATEMATIKA Vol. 17 No. 2: Desember 2025
Publisher : Universitas Muhammadiyah Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26618/sigma.v17i2.18444

Abstract

AbstrakDalam pendidikan modern, siswa harus memiliki keterampilan berpikir kritis yang didukung oleh kepercayaan diri dalam pembelajaran matematika. Salah satu masalah utama dalam penelitian ini adalah peningkatan keterampilan berpikir kritis sekolah menengah yang disebabkan oleh guru. Tujuan dari penelitian ini adalah untuk menilai seberapa efektif model pembelajaran berbasis masalah (PBL) untuk keterampilan berpikir kritis. Ini terjadi dengan kepercayaan sekolah menengah yang bangun datar. Studi ini menggunakan pendekatan kuantitatif dan desain kuasi-eksperimental. Secara khusus, desain kelompok kontrol hanya digunakan dalam desain faktorial 2x3 setelah pengujian. Populasi penelitian adalah siswa kelas VII SMP Negeri 3 Mojokerto tahun pelajaran 2024/2025 sebanyak 251 siswa, dengan sampel 61 siswa yang dipilih menggunakan cluster random sampling. Instrumen penelitian meliputi angket self-confidence dengan skala Likert dan tes kemampuan berpikir kritis berbentuk uraian pada materi bangun datar. Teknik pengumpulan data dilakukan melalui pemberian angket dan tes, kemudian dianalisis menggunakan uji prasyarat dan analisis variansi dua jalan. Hasil penelitian menunjukkan tidak terdapat perbedaan signifikan kemampuan berpikir kritis antara siswa yang belajar dengan PBL dan pembelajaran langsung (sig. = 0,422 > 0,05). Self-confidence juga tidak berpengaruh signifikan terhadap kemampuan berpikir kritis (sig. = 0,543 > 0,05), dan tidak terdapat interaksi antara model pembelajaran dan self-confidence (sig. = 0,227 > 0,05). Disimpulkan bahwa efektivitas PBL tidak lebih superior dibandingkan pembelajaran langsung dalam meningkatkan kemampuan berpikir kritis siswa pada konteks penelitian ini. AbstractTwenty-first-century education demands that students possess critical thinking abilities supported by self-confidence in mathematics learning. The low critical thinking ability of junior high school students, exacerbated by conventional teacher-centered learning, constitutes the main problem in this research. This study aims to analyze the effectiveness of the Problem Based Learning (PBL) model on critical thinking ability in terms of junior high school students' self-confidence in plane geometry material. The research method employed a quantitative approach with a quasi-experimental design, specifically the non-equivalent posttest-only control group design with a 2×3 factorial arrangement. The research population consisted of 251 seventh-grade students at SMP Negeri 3 Mojokerto in the 2024/2025 academic year, with a sample of 61 students selected using cluster random sampling. Research instruments included a self-confidence questionnaire using a Likert scale and a critical thinking ability test in essay form on plane geometry material. Data collection techniques were conducted through questionnaire administration and testing, then analyzed using prerequisite tests and two-way analysis of variance. The research results show no significant difference in critical thinking ability between students learning with PBL and direct instruction (sig. = 0.422 > 0.05). Self-confidence also had no significant effect on critical thinking ability (sig. = 0.543 > 0.05), and there was no interaction between learning model and self-confidence (sig. = 0.227 > 0.05). It is concluded that the effectiveness of PBL is not superior to direct instruction in improving students' critical thinking ability in the context of this research.
Students’ Creative Thinking Process in Solving Open-Ended Problems on Flat Shapes Devi Nur Afifah; Sudirman Sudirman; Swasono Rahardjo
PRISMA Vol. 14 No. 2 (2025): PRISMA
Publisher : Universitas Suryakancana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35194/jp.v14i2.4986

Abstract

Creative thinking is crucial in mathematics education, particularly when students are required to solve open-ended geometry problems that allow multiple solution strategies. However, few studies have examined how students’ creative thinking processes occur when solving open-ended problems on flat shapes, especially based on Wallas’ four-stage model. This study aims to describe students’ creative thinking processes in solving open-ended tasks on flat shapes through the stages of preparation, incubation, illumination, and verification. A descriptive qualitative approach was employed. From 32 junior high school students, three were selected purposively to represent high, moderate, and low levels of creativity. Data were collected through creative-thinking tasks and interviews, and analyzed using the Miles and Huberman model. The findings show clear differences in thinking patterns: highly creative students successfully performed all four stages and generated accurate and varied solutions; moderately creative students experienced difficulties during illumination, particularly in selecting correct formulas and understanding composite shapes; while low-creative students struggled from the preparation stage, indicating difficulty comprehending the problem and applying concepts. This study contributes to understanding how creative thinking develops across different ability levels and highlights the importance of learning strategies that support each stage of the creative thinking process. The results imply that open-ended tasks in geometry can be optimized to foster creative mathematical thinking when accompanied by appropriate guidance.
Analysis of MTs Students' Critical Thinking Skills in Solving Algebra Problems Based on Facione's Theory Siska Nisaul Alawiyah; Sudirman Sudirman; Slamet Slamet
PRISMA Vol. 15 No. 1 (2026): PRISMA
Publisher : Universitas Suryakancana

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

Abstract

This study aims to analyze the critical thinking skills of Madrasah Tsanawiyah (MTs) students in solving algebraic problems based on Facione’s critical thinking theory. Critical thinking is an essential competence in mathematics learning, particularly in algebra, which requires students to interpret problems, apply appropriate strategies, and draw logical conclusions. This research employed a qualitative descriptive approach to explore students’ cognitive processes in depth. The study was conducted in one eighth-grade class of an MTs in Kediri Regency, involving 25 students. Purposive sampling was used to select research subjects representing high, medium, and low critical thinking ability categories. Data were collected through algebra problem-solving tests and in-depth interviews, which were validated by experts prior to implementation. The analysis followed the Miles and Huberman qualitative analysis model, including data reduction, data display, and conclusion drawing, with method triangulation to ensure data validity. The results showed that only two students (8%) were categorized as having high critical thinking skills, fifteen students (60%) were in the medium category, and eight students (32%) were in the low category. Students with high critical thinking skills fulfilled all Facione indicators, while students in the medium and low categories showed difficulties, particularly in the analysis, evaluation, and inference aspects. These findings indicate that students are not yet accustomed to higher-order thinking skills (HOTS) algebra problems and highlight the need for learning strategies that consistently train critical thinking in mathematics classrooms. Keywords: algebra; critical thinking; Facione’s theory; MTs students; problem solving
Improving Learning Outcomes of Pancasila Education Using Cooperative Learning in SMPN 4 Students of Probolinggo City Fahira Cahyadika Lisyanti; Sudirman Sudirman
Global Education Journal Vol. 4 No. 2 (2026): Global Education Journal (GEJ)
Publisher : Civiliza Publishing, Indonesia.

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59525/gej.1599

Abstract

Pancasila and Citizenship Education (PPKn) plays an important role in shaping character, understanding of national values, and students' awareness of democracy. However, the learning outcomes of PPKn at SMPN 4 Probolinggo City still show low achievements, with many students not yet reaching the Minimum Completeness Criteria (KKM). This research aims to improve PPKn learning outcomes through the application of the Cooperative Active Learning (CAL) model. The research method uses a descriptive quantitative approach by collecting data through observation, questionnaires, and documentation in grade VIII students. The CAL model emphasizes cooperative learning activities in small groups through group discussions, problem-solving, and evaluations so that students play an active role both cognitively and socially. The results of the data analysis showed that there was an increase in student learning outcomes after the implementation of the CAL model compared to before the implementation, both in terms of material understanding and social skills. In addition, students are more motivated, actively discuss, and able to apply PPKn material in the context of daily life. Thus, the Cooperative Active Learning model has proven to be effective in improving PPKn learning outcomes while fostering collaboration skills, individual responsibility, and active participation of students. This research is expected to be a practical reference for teachers in choosing innovative learning strategies to improve the quality of PPKn education.