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All Journal Cakrawala Pendidikan JURNAL PENELITIAN ILMU PENDIDIKAN INOTEKS : Jurnal Inovasi Ilmu Pengetahuan, Teknologi, dan Seni Pythagoras: Jurnal Matematika dan Pendidikan Matematika Jurnal Riset Pendidikan Matematika Jurnal Prima Edukasia Jurnal Cendekia : Jurnal Pendidikan Matematika J-PiMat : Jurnal Pendidikan Matematika Mosharafa: Jurnal Pendidikan Matematika Journal of Instructional Mathematics Indonesian Journal Of Educational Research and Review Jurnal Pedagogi Matematika International Journal of Mathematics and Science Education Mathematics Education Journal
Djamilah Bondan Widjajanti
Universitas Negeri Yogyakarta
Arts Humanities Computer Science & IT Decision Sciences, Operations Research & Management Education Mathematics Other

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Functional Thinking in Mathematics Learning: What and How to Measure it? Ratnasari, Gamarina Isti; Widjajanti, Djamilah Bondan; Andayani, Sri
Indonesian Journal of Educational Research and Review Vol. 6 No. 3: October 2023
Publisher : Universitas Pendidikan Ganesha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/ijerr.v6i3.66682

Abstract

Functional thinking becomes a principle in the process of learning mathematics at school. Even though the need for a review of functional thinking is increasing, until now there has been no systematic literature review discussing what and how to measure functional thinking in mathematics learning. The aim of this study is to analyze the importance of functional thinking in mathematics learning and how to measure functional thinking. The method used in this systematic review study refers to PRISMA. The total articles collected were 5,415,874. Based on the PRISMA steps which consist of Identification, Screening, Eligibility, and Included, 63 articles met the requirements. The results of a review of 63 articles show that there are several things that must be considered in developing functional thinking in learning mathematics such as using open problems, solving realistic problems, using technology, and giving routine and non-routine practice questions. Furthermore, in measuring functional thinking, it can be seen based on the indicators, namely writing the next element based on the previous pattern (recursive pattern), using the relationship between elements to continue the relationship to elements in general (covariational relationship), and stating the relationship between two elements that vary in the form of function rules (correspondence).
UPAYA MENUMBUHKAN DAN MENINGKATKAN KETERAMPILAN MAHASISWA PRODI PENDIDIKAN MATEMATIKA FMIPA UNY DALAM MEMBUAT MEDIA KARTUN UNTUK PEMBELAJARAN STATISTIKA DAN PELUANG DI SMP DAN SMA Hidayati, Kana; Widjajanti, Djamilah Bondan; Susanti, Mathilda; Arliani, Elly; Subekti, Retno
PYTHAGORAS Jurnal Matematika dan Pendidikan Matematika Vol. 3 No. 2: Desember 2007
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (121.996 KB) | DOI: 10.21831/pg.v3i2.677

Abstract

Penelitian ini merupakan penelitian tindakan dengan tujuan untuk menumbuhkan dan mengembangkan keterampilan mahasiswa Prodi Pendidikan Matematika FMIPA UNY peserta kuliah Statistika Elementer semester Februari-Juni 2006 dalam membuat media kartun untuk pembelajaran Statistika dan Peluang di SMP dan SMA.Kegiatan penelitian dilaksanakan dalam dua siklus. Pada siklus pertama, setelah mahasiswa memahami materi penyajian data yang disajikan menggunakan media kartun, mahasiswa diberi tugas membuat media kartun untuk pembelajaran Statistika di SMP dan SMA khusus materi penyajian data. Media kartun hasil karya mahasiswa ini selanjutnya dievaluasi oleh tim peneliti, terutama untuk kesesuaian media dengan jenjang pendidikan siswa dan kebenaran media dalam merepresentasikan materi, serta oleh pakar media di jurusan Pendidikan Matematika FMIPA UNY terutama untuk segi keterbacaan, tampilan, estetika, dan kreativitasnya. Hasil evaluasi terhadap media kartun karya mahasiswa pada siklus pertama akan digunakan untuk masukan dalam pemberian tugas pada siklus kedua yaitu membuat media kartun untuk materi Peluang di SMP dan SMA setelah mahasiswa mendapat perkuliahan tentang materi Peluang yang juga disajikan dengan menggunakan media kartun. Hasil penelitian menunjukkan bahwa dengan adanya kegiatan pemberian contoh dan tugas membuat media kartun pada perkuliahan statistika elementer dapat menumbuhkan dan meningkatkan keterampilan mahasiswa dalam membuat media kartun Statistika dan Peluang di SMP dan SMA yang tampak dari hasil penilaian terhadap media kartun hasil karya mahasiswa yakni rata-rata nilai untuk tugas pertama sebesar 8,9 dan tugas kedua sebesar 9,6. Kegiatan pengintegrasian pembuatan media dalam perkuliahan Statistika Elementer melalui pemberian contoh dan tugas tersebut dalam pelaksanannya dilakukan dengan senantiasa memberikan arahan dan panduan mengenai teknik pembuatannya terutama ketika perkuliahan dilakukan dengan menggunakan media kartun. Selain itu, secara keseluruhan 89,9% mahasiswa merespons baik kegiatan pembelajaran yang telah dilakukan. Kata Kunci: Media kartun, Statistika dan Peluang.
Students' Self-efficacy in Solving Mathematical Literacy-Based Summative Assessment Problems Lestari, Dian Endang; Widjajanti, Djamilah Bondan; Susanto, Adi; Hidayati, Kana
Mathematics Education Journal Vol. 19 No. 1 (2025): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jpm.v19i1.pp47-62

Abstract

Self-efficacy is an essential skill that students must develop to excel in mathematics. This study aims to describe students' self-efficacy in solving mathematical literacy-based summative assessment problems. Conducted as qualitative descriptive research, the study employed tests and questionnaires for data collection. The sample of this study consisted of 34 male junior high school students. The data obtained were analyzed using descriptive statistical techniques. The results showed that students' self-efficacy was in the medium category with a percentage of 55.88%, and student learning outcomes based on the students’ mathematical literacy-based summative assessment tests were mostly in the poor category with a percentage of 44.11%. The percentages of students who can formulate, use, and interpret mathematical concepts are 78%, 45%, and 59%, respectively. Consequently, students with high levels of self-efficacy outperform those with intermediate or low levels of mathematical literacy. Medium-level individuals demonstrated superior mathematical literacy abilities compared to students with low self-efficacy. Enhancing self-efficacy in addressing mathematical literacy-based summative assessment challenges is crucial for advancing mathematics education research, enabling educators to implement effective pedagogical strategies, and fostering students’ confidence to approach complex problem-solving tasks.
DIFUSI INOVASI PENDIDIKAN MATEMATIKA REALISTIK INDONESIA KEPADA GURU MATEMATIKA SMP DI KABUPATEN SLEMAN MELALUI LESSON STUDY Bondan Widjajanti, Djamilah; Listyani, Endang; Susanti, Mathilda; Mahmudi, Ali; Sugiman, Sugiman
INOTEKS: Jurnal Inovasi Ilmu Pengetahuan,Teknologi, dan Seni Vol 17, No 1 (2013)
Publisher : Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (151.324 KB) | DOI: 10.21831/ino.v17i1.3090

Abstract

A Community Service activity entitled "Diffusion of Innovations of Indonesian Realistic Mathematics Education to Mathematics Teachers of Junior High School (SMP) in Sleman Regency through Lesson Study" aims at diffusing Innovations of Indonesian Realistic Mathematics Education (Pendidikan Matematika Realistik Indonesia: PMRI) to Mathematics Teachers of SMP in Sleman Regency who are actively participating in SubjectBased Teachers Group (Musyawarah Guru Mata Pelajaran: MGMP) of Mathematics. The diffusion is conducted through Lesson Study. Specifically, this PPM activity aims at improving understanding of mathematics teachers as participants on excellences of PMRI and Lesson Study and increasing teachers' willingness to implement PMRI in the Lesson Study format. Objects of the study were 25 mathematics teachers of SMP in Sleman Regency actively participating in MGMP. The first activity was socialization on PMRI and Lesson Study. It was conducted on July 12, 2012 in the Mathematics Education Laboratory and was joined by 25 participants. The second activity was in a workshop on Development of Learning Tools and the implementation of the plan phase which was conducted on July 26, 2012 in the Mathematics Education Laboratory with 25 participants. Meanwhile, the third activity was the implementation of the do and see phase conducted on August 9, 2012 at SMP Muhammadiyah III Depok Sleman with 25 participants. In the beginning and the end of the activity, all participants were given written questions to reveal their understanding on PMRI and Lesson Study. In the end of the activity, questions were added about advantages of PMRI and Lesson Study. All participants of the activity stated that PMRI and Lesson Study are very advantageous for students and teachers. All of them also committed to implement PMRI in the Lesson Study format. Considering the results above, it can be concluded that this PPM activity is successful to improve the understanding of mathematics teachers as participants on excellences of PMRI and Lesson Study and also works to increase their willingness to implement PMRI in the Lesson study format. In addition, all participants also hope on the follow-up of this activity. Therefore, Department of Education, Youth and Sport of Sleman Regency and UNY (Yogyakarta State University) need to establish cooperation to facilitate the implementation of PMRI in the Lesson Study format for mathematics teachers of SMP in Sleman Regency.Keywords: realistic mathematics education, and mathematics lesson study
Singaporean and Japanese Maths Textbooks: Character, Structure, and Content Auliya’, Khilyatul; Widjajanti, Djamilah Bondan
Mosharafa: Jurnal Pendidikan Matematika Vol. 12 No. 1 (2023): January
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v12i1.764

Abstract

Meningkatkan pengajaran matematika secara terus menerus merupakan upaya yang harus terus dilakukan. Hal ini dikarenakan matematika tidak hanya dipelajari oleh siswa sepanjang tahun tetapi juga banyak digunakan sebagai indikator kunci keberhasilan individu siswa. Salah satu faktor penting yang mempengaruhi pengajaran matematika adalah buku teks. Artikel ini membahas buku teks matematika dari dua negara, yaitu Singapura dan Jepang. Kajian terhadap kedua buku teks dilakukan terhadap karakter fisik, struktur, dan topik/isi buku teks. Kesimpulan hasil kajian ini sebagai berikut. Secara fisik, Buku teks matematika Singapura lebih sederhana dalam warna, dibandingkan buku teks matematika Jepang. Jumlah halaman Buku teks Singapura lebih banyak dari jumlah halaman Buku teks Jepang. Dari segi struktur buku, pada Buku teks matematika Singapura, terdapat beberapa bab yang dimulai dengan ringkasan materi prasyarat, kemudian diikuti dengan materi dasar, contoh dan penyelesaiannya, dan latihan. Sedangkan pada Buku teks matematika Jepang, sebagian besar diawali dengan ilustrasi mengenai topik yang dibahas, materi prasyarat, pertanyaan mendasar, ringkasan materi, contoh dan penyelesaiannya, pengayaan, dan latihan soal. Pada buku teks sekolah menengah Singapura, lebih ditekan kan pada domain Geometri dan Pengukuran, sedangkan Buku teks sekolah menengah Jepang lebih ditekankan pada domain Relasi dan Aljabar, kemudian urutan selanjutnya domain Geometri dan Pengukuran. Continuous improvement of mathematics teaching is a continual process. The ground of the improvement is that mathematics is not only studied by students throughout the year but it is also widely used as a key indicator of students’ success. One of the important factors that influence the teaching of mathematics is textbooks. This study discussed mathematics textbooks from two countries, namely Singapore and Japan. The aim was to examine the textbooks’ physical character, structure, and topic/content. The study pointed out several important points. The Singaporean Math Textbook is physically simpler in colour than the Japanese Math Textbook. It also had more pages than the Japanese Textbook. Regarding the book's structure, several chapters in the Singaporean Mathematics Textbook began with a summary of the prerequisite material, followed by key topics, examples and solutions, and exercises. In Japanese Mathematics Textbooks, most chapters started with illustrations on the topics discussed, prerequisite material, essential questions, summaries, examples and solutions, enrichment, and exercises. In the Singaporean secondary school textbooks, it emphasized the Geometry and Measurement domains, while the Japanese secondary school textbooks emphasized the Relation and Algebra domains followed by the Geometry and Measurement domains.
Peningkatan motivasi dan prestasi belajar operasi hitung bilangan bulat siswa kelas 4 melalui media visual interaktif Endarwati, Erni Dwi; Widjajanti, Djamilah Bondan
Jurnal Penelitian Ilmu Pendidikan Vol. 9 No. 1 (2016): March-May
Publisher : Fakultas Ilmu Pendidikan, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1353.051 KB) | DOI: 10.21831/jpipfip.v9i1.10690

Abstract

Penelitian ini bertujuan untuk meningkatkan motivasi belajar dan prestasi belajar operasi hitung bilangan bulat siswa kelas IV SD Negeri Paliyan 4 Kecamatan Paliyan Kabupaten Gunungkidul melalui media visual interaktif. Jenis penelitian ini adalah penelitian tindakan kelas yang dilaksanakan dalam dua siklus. Penelitian ini dilaksanakan pada bulan Januari 2015. Subjek penelitian adalah seluruh siswa kelas 4 yang berjumlah 20 siswa. Data penelitian dikumpulkan melalui observasi, tes tulis, angket, dan dokumentasi.  Hasil penelitian menunjukkan bahwa media visual interaktif dapat meningkatkan motivasi dan prestasi belajar operasi hitung bilangan bulat siswa kelas 4.
The Relationship between Quality of Understanding and Problem-Solving Ability in Mathematics Learning: A Systematic Literature Review Fanni Yunita; Djamilah Bondan Widjajanti
Journal of Instructional Mathematics Vol. 6 No. 2 (2025): Innovative Approaches to Mathematical Understanding and Literacy
Publisher : Pendidikan Matematika STKIP Kusuma Negara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37640/jim.v6i2.2556

Abstract

The quality of understanding and problem-solving abilities are essential components in mathematics learning. Understanding serves as a foundation for students to comprehend mathematical concepts, while the ability to solve problems allows students to use their knowledge in everyday contexts. The purpose of this study is to explore the relationship between students’ quality of understanding and their problem-solving ability through a systematic literature review. The review focuses on how instrumental and relational understanding influence students’ effectiveness in solving mathematical problems. The search process was conducted using Harzing’s Publish or Perish software with Google Scholar and Scopus as the primary databases, limited to studies published between 2014 and 2025, resulting 30 relevant articles. The findings demonstrate a consistently positive relationship, where relational understanding contributes more strongly to effective and flexible problem-solving than instrumental understanding, especially in non-routine tasks. This review offers a clearer comparison of the relative roles of instrumental and relational understanding in supporting problem-solving, which has not been explicitly emphasized in earlier studies. Additionally, factors such as learning style, prior knowledge, reasoning skills, gender, emotional intelligence, and adversity quotient were identified as complementary influences that shape both understanding and problem-solving performance.
EFEKTIVITAS PROBLEM-BASED LEARNING DALAM PENDEKATAN SAINTIFIK DITINJAU DARI KEMAMPUAN BERPIKIR KRITIS MATEMATIS DAN RASA INGIN TAHU SISWA PADA MATERI PELUANG Muh. Rian Dwianto; Djamilah Bondan Widjajanti
Jurnal Pedagogi Matematika Vol 12, No 1 (2026): Jurnal Pedagogi Matematika
Publisher : Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jpm.v12i1.19518

Abstract

Penelitian ini bertujuan untuk mengetahui efektivitas model problem-based learning dalam pendekatan saintifik ditinjau dari kemampuan berpikir kritis matematis dan rasa ingin tahu siswa pada materi peluang. Penelitian ini merupakan penelitian eksperimen dengan One Group Pretest-Posttest Design. Populasi dalam penelitian ini adalah siswa kelas VIII SMP Negeri 1 Berbah yang terdiri dari 4 kelas. Sampel yang diambil secara acak untuk diberikan perlakuan adalah kelas VIII B. Kelas VIII B diberikan perlakuan model problem-based learning dalam pendekatan saintifik. Instrumen yang digunakan pada penelitian ini adalah (1) soal tes kemampuan berpikir kritis matematis yang terdiri dari empat soal uraian; (2) angket rasa ingin tahu yang terdiri dari 20 pertanyaan; (3) lembar observasi keterlaksanaan pembelajaran. Hasil analisis data menggunakan taraf signifikansi 5% dapat disimpulkan bahwa model problem-based learning dalam pendekatan saintifik tidak efektif ditinjau dari kemampuan berpikir kritis matematis dan efektif ditinjau dari rasa ingin tahu siswa kelas VIII SMP Negeri 1 Berbah tahun ajaran 2022/2023 pada materi peluang.
Profile of Quality of Comprehension and Mathematics Anxiety of Grade IX Students of MTs Negeri Karangasem on Building Materials for Curved Side Spaces Maulida, Rahmiyati; Bondan Widjajanti, Djamilah
International Journal of Mathematics and Science Education Vol. 3 No. 2 (2026): May: International Journal of Mathematics and Science Education
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62951/ijmse.v3i2.311

Abstract

This study aims to: (1) describe the quality of mathematical understanding of Grade IX students at MTs Negeri Karangasem on the topic of curved surface solids, (2) identify the level of mathematics anxiety, and (3) examine the relationship between mathematical understanding and mathematics anxiety. This research employed a quantitative approach involving 100 students selected from 130 Grade IX students. Mathematical understanding data were collected using a three-item test based on indicators of instrumental, relational, and logical understanding, while mathematics anxiety data were obtained through a 30-item questionnaire. All instruments were validated by experts and showed adequate reliability based on Cronbach’s Alpha. Data were analyzed using descriptive statistics, while the relationship between variables was tested using the Chi-Square test and the Fisher Freeman Halton Exact Test. The results show that most students (80%) have not yet achieved adequate mathematical understanding, while 20% demonstrate instrumental understanding. In terms of anxiety, 84% of students experience moderate anxiety, 11% high anxiety, and 5% low anxiety. Most students (67%) fall into the category of moderate anxiety with low understanding. Statistical results indicate that mathematical understanding and mathematics anxiety are significantly related.
Kecemasan Matematika Siswa Indonesia: Analisis Data PISA dan Rekomendasi Strategi Pembelajaran Lutfi Marfuah; Djamilah Bondan Widjajanti
J-PiMat : Jurnal Pendidikan Matematika Vol 8, No 1 (2026): J-PiMat
Publisher : Prodi Pendidikan Matematika STKIP Persada Khatu;istiwa Sintang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31932/j-pimat.v8i1.6346

Abstract

Mathematics anxiety is one of the factors that can hinder students’ learning processes and outcomes. This study aims to analyze the level of mathematics anxiety among Indonesian students based on Programme for International Student Assessment (PISA) 2022 data, identify its contributing factors, and formulate appropriate instructional strategies to address it. This research employs a mixed methods approach with a sequential explanatory design through the analysis of PISA data, the distribution of mathematics anxiety questionnaires, and a literature review. The results indicate that the level of mathematics anxiety among Indonesian students falls within the low to moderate category, characterized by feelings of tension, nervousness, and helplessness when solving mathematics problems. The main contributing factors include lack of learning preparation, rapid delivery of instructional material, difficulty in recalling concepts or formulas, and environmental pressure. These findings suggest that mathematics anxiety is influenced not only by cognitive aspects but also by psychological and pedagogical factors. Therefore, comprehensive instructional strategies are needed, including enhancing students’ motivation and learning skills, implementing student-centered learning approaches, and creating a positive learning environment. These efforts are expected to reduce mathematics anxiety and improve the quality of mathematics learning.Keyword: PISA, Mathematics anxiety, Indonesian students, instructional strategies
Co-Authors Adi Susanto Ali Mahmudi Aljura, Ahmad Naufal Astuti Ariani Auliya’, Khilyatul Elly Arliani Endah Octaningrum Wahani Sejati Endang Listyani Endarwati, Erni Dwi Erlyka Setyaningsih Erni Ayda Fanni Yunita Febrina Rizki Dwiyana Heri Retnawati Hidayat, Puput Wahyu Inggrid Marlissa Isnaini Nur Azizah Kana Hidayati Khilyatul Auliya' Lestari, Dian Endang Lestari, Dian Endang Lutfi Marfuah Maria Isabella Chrissanti Mathilda Susanti Maulida, Rahmiyati Muginah Muginah Muh. Rian Dwianto Nina Agustyaningrum Nurina Happy Ratnasari, Gamarina Isti Retno Subekti Sri Andayani Sri Ulfa Insani Sugiman Sugiman Tri Hidayati Uki Suhendar Umy Hasanatul Latifah Wahyudin .