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THE EMERGENCE OF STUDENTSâ€™ METACOGNITION IN THE PROCESS OF MATHEMATICAL PROBLEM SOLVING Kusumaningtyas, Nopem; Sa'dijah, Cholis; Rahardi, Rustanto; Rahardjo, Swasono
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 1 (2018)
Publisher : Universitas Negeri Malang

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

Developing a problem-solving skill for important things which need to be paid attention is how the students' thinking process in solving a problem is. Thinking about what is thought in this term relates to students' awareness of their ability to develop various ways which may be taken in solving a problem is known as metacognition. The existence of metacognition is very important for students in solving mathematical problems. This is a qualitative study using the grade VII students having medium ability as the subjects. The results of the study obtained that through intervention conducted by the researchers in 5 meetings, metacognition capability emerged in the subjects so that with their own ability they are able to solve mathematical problems provided.

Pengembangan Modul dengan Pendekatan Contextual Teaching and Learning (CTL) Francelina Ernia; Nopem K Sumitro; Yunis Sulistyorini
Laplace : Jurnal Pendidikan Matematika Vol 2 No 2 (2019)
Publisher : Program Studi Pendidikan Matematika IKIP PGRI Jember

Penelitian ini merupakan penelitian pengembangan yang bertujuan untuk (1) mendeskripsikan modul matematika pada materi himpunan untuk siswa kelas VII dengan menggunakan pendekatan Contextual Teaching And Learning (CTL) (2) mendeskripsikan kevalidan dan keefektifan modul matematika pada materi himpunan dengan pendekatan Contextual Teaching And Learning (CTL) untuk siswa kelas VII. Metode yang digunakan dalam penelitian ini adalah metode penelitian dan pengembangan (Research and Development) yang mengunakan model pengembangan Analysis, Design, Development, Implementation, Evaluation (ADDIE). Pada tahap Analysis, peneliti melakukan analisis kurikulum, analisis karakteristik siswa, analisis kebutuhan siswa. Pada tahap Design, peneliti mengumpulkan buku referensi, penyusunan peta kebutuhan modul, membuat kerangka modul, menetapkan desain tampilan modul, menyusun desain instrumen penilaian. Pada tahap Development, peneliti mengembangkan modul sesuai dengan desain awal, menilai kualitas modul, dan melakukan revisi awal. Pada tahap Implementation, modul diujicobakan dalam pembelajaran di kelas VII A SMP Negeri 1 Talun. Pada tahap Evaluation, dilakukan evaluasi terhadap modul yang telah diujicobakan. Penelitian ini menghasilkan modul matematika materi himpunan dengan pendekatan Contextual Teaching And Learning (CTL) yang valid dengan skor rata-rata 3,55 yang termasuk dalam kategori sangat valid. Modul juga dinyatakan efektif dengan skor rata-rata angket respon siswa 3,10 yang menunjukan kategori baik, dan hasil tes evaluasi yang skor rata-ratanya 83,90 dan menunjukan kategori baik.

PEMANFAATAN MEDIA PEMBELAJARAN MATEMATIKA DIGITAL BERBASIS EDUGAME WORDWALL TINGKAT SEKOLAH DASAR DI DESA SIDOREJO Donna Avianty; Nopem K. Sumitro; Devi Putri Yuliantika; Diah Apriliani Rahmatun; Vita Noviyanti Mulyaningsih
JPM PAMBUDI Vol 7 No 01 (2023): JPM Pambudi
Publisher : Pusat Penelitian dan Pengabdian Kepada Masyarakat (P2M) IKIP Budi Utomo Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33503/pambudi.v7i01.3403

One of the aims of this Potential-Based Community Service is to increase enthusiasm for learning mathematics and introduce fun mathematics learning for children in Sidorejo Village. Because all this time learning mathematics seems very scary and less fun if it is studied with the wrong method. This problem becomes a separate focus point for each element of education. The implementation method in this activity was carried out in Sidorejo Village, Jabung District, Malang Regency by applying face-to-face edugame wordwall-based digital mathematics learning with elementary school level children. After implementing this activity, it can be concluded that by utilizing digital mathematics learning media with wordwall software, it can improve students' abilities and enthusiasm in learning mathematics.

PEMANFAATAN MEDIA PEMBELAJARAN MATEMATIKA DIGITAL BERBASIS EDUGAME WORDWALL TINGKAT SEKOLAH DASAR DI DESA SIDOREJO Donna Avianty; Nopem K. Sumitro; Devi Putri Yuliantika; Diah Apriliani Rahmatun; Vita Noviyanti Mulyaningsih
JPM PAMBUDI Vol 7 No 01 (2023): JPM Pambudi
Publisher : Pusat Penelitian dan Pengabdian Kepada Masyarakat (P2M) IKIP Budi Utomo Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33503/pambudi.v7i01.3403

One of the aims of this Potential-Based Community Service is to increase enthusiasm for learning mathematics and introduce fun mathematics learning for children in Sidorejo Village. Because all this time learning mathematics seems very scary and less fun if it is studied with the wrong method. This problem becomes a separate focus point for each element of education. The implementation method in this activity was carried out in Sidorejo Village, Jabung District, Malang Regency by applying face-to-face edugame wordwall-based digital mathematics learning with elementary school level children. After implementing this activity, it can be concluded that by utilizing digital mathematics learning media with wordwall software, it can improve students' abilities and enthusiasm in learning mathematics.

Pelatihan Hidroponik untuk Meningkatkan Kreativitas Siswa dengan Memanfaatkan Barang Bekas Wardani, Novia Kusuma; Nugroho, Syifa Alfina; Sulistyorini, Yunis; Sumitro, Nopem K.; Lestari, Purwaning Budi
JPM PAMBUDI Vol 8 No 01 (2024): JPM Pambudi
Publisher : Pusat Penelitian dan Pengabdian Kepada Masyarakat (P2M) IKIP Budi Utomo Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33503/pambudi.v8i01.4358

The aim of this training was to provide students with knowledge in hydroponic plant cultivation. The background to this training was students' lack of knowledge in hydroponic plant cultivation and agricultural land was low. The participants involved in this training were grade 11 students of SMA Negeri 2 Negeri Katon, Pejambon Village, Negeri Katon District, South Lampung Regency, Lampung. The training implementation method included three stages, namely the socialization and counselling stage, the activity implementation stage and the reflection stage with training activity steps starting from socialization to students, making media charts from plastic bottles and cups, sowing plant seeds, continued with the implementation of hydroponic plant cultivation. The reflection stage was carried out after the implementation process by looking at the shortcomings and obstacles faced by students so that it can be carried out continuously and developed. This training is expected to be developed by students and teachers in order maintain the school environment, systems for utilizing school grounds and the surrounding environment, as well as increasing the creativity of students at grade XI in cultivating plants, especially vegetables, to meet daily nutritional needs.

EKSPLORASI KONSEP MATEMATIKA MELALUI ARSITEKTUR MASJID TIBAN TUREN Walimatus Sa’dia; Lailatul Maghfiroh; Siti Romaita; Nurul Hikmah; Aldora Dewanggita; Nopem Kusumaningtyas Sumitro; Siti Napfiah
Jurnal Ilmiah Matematika Realistik Vol. 6 No. 2 (2025): JURNAL ILMIAH MATEMATIKA REALISTIK
Publisher : Universitas Teknokrat Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33365/ji-mr.v6i2.569

Salah satu masjid yang menarik untuk dikaji dari perspektif matematika adalah Masjid Tiban Turen . Masjid ini dikenal karena arsitekturnya yang rumit, kompleks, dan memadukan berbagai gaya arsitektur dari Timur Tengah, Tiongkok, Turki, India, hingga Mesir. Tujuan penelitian ini adalah untuk Mengidentifikasi konsep-konsep matematika yang terkandung dalam arsitektur Masjid Tiban Turen, khususnya pada elemen-elemen seperti kubah, lengkungan, pola mozaik, dan ornamen simetris. Jenis penelitian ini adalah penelitian kualialitatif dengan pendekatan etnografi. Subjek penelitian adalah Masjid Tiban Turen .Instrumen yang digunakan berupa wawancara, observasi, dan dokumentasi. Hasil penelitian diperoleh bahwa masjid tiban selain tempat ibadah, juga menjadi salah satu destinasi wisatawan sampai mancanegara, bangunan masjid ini juga ada kaitannya dengan matematika seperti kubah yang berbentuk setengah bola, lantai berbentuk lingkaran, menara yang berbentuk limas, hiasan lantai bermotif simetri lipat, motif bintang lis delapan yang memiliki bentuk segi delapan, Ornamen loster bintang mini gandeng tiga yang memiliki bentuk gabungan dari segitiga sama kaki , ornamen kayu rubuh berbentuk tabung, ornamen batang anggur manis yang memiliki unsur kurva lengkung. arsitektur masjid berkaitan erat dengan teori geometri, teori simetri, serta transformasi geometri. Penelitian ini mengkaji konsep matematika dalam arsitektur Masjid Tiban Turen. Dengan metode kualitatif etnografi melalui wawancara, observasi, dan dokumentasi, penelitian ini mengidentifikasi adanya penerapan geometri, simetri, dan transformasi pada berbagai elemen bangunan, seperti kubah setengah bola, lantai lingkaran, menara limas, motif simetri lipat, pola bintang bersegi delapan, gabungan segitiga pada ornamen, bentuk tabung, serta kurva lengkung. Temuan menunjukkan bahwa arsitektur Masjid Tiban Turen merepresentasikan berbagai konsep matematika secara nyata.

Model PBL Scaffolding Untuk Meningkatkan Aktivitas Metakognisi Siswa Slow Learner Nopem Kusumaningtyas Sumitro; Era Dewi Kartika; Lailatul Mubarokah
Social Science Academic Vol. 4 No. 1 (2026)
Publisher : Institut Agama Islam Sunan Giri Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37680/ssa.9862

Slow learner students often face difficulties in metacognitive activities such as awareness, evaluation, and regulation when solving mathematical problems, which leads to low problem-solving achievement. This study aims to develop and test the validity, practicality, and effectiveness of a Problem Based Learning model integrated with Level 2 scaffolding, called PBL Scaffolding, to enhance metacognitive activities of slow learners in junior high school mathematics. The research employed the Borg & Gall R&D method through nine stages, from preliminary study to limited field testing. The model and learning tools were validated by two experts in mathematics education and educational psychology, tested for practicality through observation of teacher implementation and student-teacher questionnaires, and evaluated for effectiveness using pretest-posttest design on 20 slow learner students. Data were analyzed descriptively using content validity ratio, percentage, and normalized N-Gain. The results indicated that the PBL Scaffolding model achieved a mean validity score of 3.57 or 89.06% in the very valid category. The model was very practical with syntax implementation of 84.38% and student-teacher response rates of 86.45% and 88.20%. Effectiveness testing showed an average N-Gain of 0.55 in the medium category, with the highest improvement in the evaluation indicator at 0.60. It is concluded that PBL Scaffolding is valid, practical, and effective for improving metacognitive activities of slow learners because each PBL phase is paired with structured scaffolding prompts that guide students’ thinking processes.

PENGEMBANGAN MODUL KAJIAN MATEMATIKA SEKOLAH BERBASIS PROBLEM BASED LEARNING Dwi Purnomo; Nopem Kusumaningtyas Sumitro; Dyah Ayu Sulistyaning Cipta; Dian Fitri Argarini; Yunis Sulistyorini; Sofia Sao
Prismatika: Jurnal Pendidikan dan Riset Matematika Vol. 6 No. 2 (2024): Prismatika: Jurnal Pendidikan dan Riset Matematika
Publisher : Universitas Insan Budi Utomo

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The aim of this research is to develop a School Mathematics Study module based on Problem Based Learning that is valid and effective. This Problem Based Learning-based module emphasizes problem solving in understanding mathematical concepts. The School Mathematics Study Module based on Problem Based Learning refers to the 4D development model, which is only limited to the Develop stage. The data collection instrument consists of a validation sheet and problem solving test questions. The trial was carried out on students of the Universitas Insan Budi Utomo Mathematics Education study program who were taking the School Mathematics Studies course. The results of data analysis show that the module fulfill the criteria for validity and effectiveness. Expert validation and module testing. From the assessment results from two experts, an average score of 3,2 was obtained, which is a very valid criterion.

PENERAPAN REALISTIC MATHEMATICS EDUCATION DI SITUS PATIRTAAN NGAWONGGO: STUDI KASUS PENINGKATAN KEMAMPUAN STATISTIKA Badi'atu Sholihah; Sari, Maya Novita; Izzah, Nadia Adilatul; Sunarko, Wulandari; Dewi, Riska Mustika; Sumitro, Nopem Kusumaningtyas
Prismatika: Jurnal Pendidikan dan Riset Matematika Vol. 8 No. 1 (2025): Prismatika: Jurnal Pendidikan dan Riset Matematika
Publisher : Universitas Insan Budi Utomo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33503/prismatika.v8i1.1708

This study aims to describe the improvement of sixth-grade elementary students’ basic statistical abilities through the Realistic Mathematics Education (RME) approach based on local cultural context. The learning location was purposively selected at Patirtaan Ngawonggo Site, a historical place in Malang Regency that offers a natural atmosphere and authentic learning experiences. This research employed a mixed-method approach with an exploratory case study design, focusing on both the process and outcomes of contextual learning. Qualitative data were collected through observation, field notes, documentation, and reflective interviews, while quantitative data were obtained from students’ pre-test and post-test results on basic statistics. Data analysis utilized two techniques: qualitative descriptive analysis to interpret the contextual learning process, and simple descriptive statistics to compare the mean scores of students’ pre-test and post-test results. The findings revealed that students’ direct engagement in contextual learning within a local cultural environment significantly contributed to the enhancement of their understanding of basic statistical concepts, including mean, median, and mode. The average pre-test score of 58.5 increased to 90 in the post-test, indicating an improvement of 53.85%. In addition to cognitive gains, students also demonstrated higher enthusiasm, focus, and reflective awareness of the relevance of statistics in daily life. Thus, the implementation of the RME approach in the cultural setting of Patirtaan Ngawonggo proved to be effective in meaningfully improving students’ basic statistical skills, while simultaneously strengthening the integration of mathematics learning with local cultural preservation.

Analisis penerapan konsep matematika melalui perencanaan rute pendakian Gunung Budug Asu Nila Agustin; Era Dewi Kartika; Vina Oktaria; Nopem Kusumningtyas Sumitro
Cakrawala Vol 4, No 2 (2025): Desember
Publisher : Institut Teknologi Dirgantara Adisutjipto

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.28989/cakrawala.v4i2.3113

Penelitian ini bertujuan untuk meneliti konsep matematika yang berperan dalam perencanaan rute pendakian gunung. Menggunakan metode penelitian kualitatif, penelitian ini berfokus pada jarak kecepatan, waktu, elevasi, karakteristik medan dalam pendakian gunung. Hal yang perlu diperhatikan dalam melakukan pendakian. Objek yang diteliti yaitu gunung budug asu, yang didapatkan pada hasil penelitian ditemukan bahwa rute yang memakan sedikit waktu pada rute pendakian adalah rute kiri, dengan waktu tempuh sebanyak 84 menit/1,24 jam. Sedangan pada rute kanan lebih memakan banyak watu dengan waktu tempuh sekitar 140 menit 2,20 jam. Kesimpulannya, penerapan konsep matematika membantu pendaki menentukan rute paling efisien dan relevan untuk keselamatan dan kenyamanan pendakian.

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