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How are the classification of students’ mathematical connections in solving non-routine problems? Kholid, Muhammad Noor; Dewi, Rosita
Al-Jabar: Jurnal Pendidikan Matematika Vol 15 No 1 (2024): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v15i1.19633

Abstract

Background: Mathematics is not just a science for its own sake; it is a science that proves to be useful for most other sciences. Mathematical connections play a crucial role in helping students develop a deeper understanding and enhance their thinking about mathematics. These connections represent relationships between different mathematical ideas, between mathematics and other subjects, and between mathematics and everyday life.Aim: This study aims to classify students' mathematical connection abilities when solving non-routine mathematical problems.Method: This research employs a qualitative approach using descriptive and exploratory methods. The study involved 23 students who exhibited mathematical connection skills in problem-solving. Data collection methods included tests, observations, and interviews. The data analysis process consisted of two main stages: data reduction and data presentation. To ensure data validation, the triangulation method was used by comparing the results from the subject tests (answer sheets), observations, and interviews.Results: The findings of this study revealed three distinct classifications of students’ mathematical connections when solving non-routine problems: 1) Patterns; 2) Variables; and 3) ArgumentsConclusion: The implications of these findings suggest that teachers need to be aware of the different classifications of students' mathematical connections. This awareness will enable them to implement mathematics learning strategies that cater to the diverse mathematical connection classifications found in their classrooms. For instance, teachers can utilize different mathematics learning media tailored to students’ learning styles, such as mind, incubation, and visual learning. By doing so, students can better optimize their mathematical connections and achieve improved outcomes in their mathematics learning.
Ethnomathematics: Arithmetic and Discrete Mathematics Concepts in Batik Sidomukti Solo Kholid, Muhammad Noor; Husodo, Herlang Duta
Mathematics Education Journal Vol. 19 No. 3 (2025): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/mej.v19i3.pp489-508

Abstract

Ethnomathematics is the study of the relationship between mathematics and culture and its application in everyday life. Batik, as one of Indonesia’s most iconic cultural heritages, contains patterns and structures rich in mathematical ideas, making it a relevant and engaging case study for mathematics education. Batik has the potential to contextualize abstract mathematical concepts through visual and cultural elements. This study specifically focuses on Batik Sidomukti, a classical batik from Surakarta, which is characterized by its distinctive curved patterns known as Isen Ukel. Isen Ukel refers to ornamental curved or spiral lines used as filler patterns, which traditionally symbolize life, continuity, and aesthetic harmony in Javanese batik art. To explore the mathematics concepts embedded in Batik Sidomukti, this study employed a qualitative approach using ethnography and Ethnomathematics Guiding Questions. Ethnography is suitable for this context as it allows for an in-depth understanding of the cultural and artistic context of batik making, including the symbolic meanings and design structures. Data were collected through field observation, motif documentation, and literature review. This approach enabled the researcher to identify and analyze arithmetic and discrete mathematics elements present in the batik designs. For instance, modular and tiling arithmetic are reflected in the repetitive and structured arrangement of motifs, while discrete mathematics is represented through graph theory and combinatorics. The application of combinatorics, in particular, contributes to the aesthetic appeal and design variation of Batik Sidomukti. These findings highlight the significance of ethnomathematics in bridging cultural heritage and mathematics education. Batik motifs, especially Batik Sidomukti, are not only traditional artworks passed down through generations, but also a rich source of inspiration for developing culturally relevant mathematics instruction.
Design and development of an android-based “Flash Card Geometry” application: Exploring students' responses Hidayati, Yulia Maftuhah; Arifin, Achmad Januar; Setiadi, Arief; Kusuma, Anton Adi Suryo; Kholid, Muhammad Noor
Al-Jabar: Jurnal Pendidikan Matematika Vol 16 No 2 (2025): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v16i2.26846

Abstract

Purpose: Geometry is an essential component of elementary mathematics that helps students develop spatial understanding and abstract thinking skills. However, many students face difficulties in learning geometry due to the abstract nature of its concepts. This study aims to explore the responses of primary school students in the learning process.Method: This study adopted a qualitative approach with a descriptive design. This research involved 15 grade V students at SD Negeri 008 Sangkulirang as participants. Data collection in this study was carried out through the questionnaire method. Data collected through questionnaires were analyzed using a descriptive approach.Findings: The research findings indicate an increase in the average percentage in the aspects of learning, appearance, and technical quality and effectiveness of the program, with all aspects reaching above 80% after the revision. The first revision, the addition of a learning video, provides significant visual support in clarifying concept understanding, while the second revision, the addition of a timer feature in the quiz section, serves to train students' ability to manage time effectively.Significance: The development of this media highlights the innovative integration of digital technology to enhance mathematics learning. Flash Card Geometry is tailored to students’ needs in the digital era, encouraging active participation. Practically, it offers teachers an effective learning tool; theoretically, it supports the use of digital media to promote student-centered learning.
Peningkatan kompetensi pedagogi dan pengembangan konten digital guru berbasis "GaleriMu" Rahmawati, Laili Etika; KHOLID, MUHAMMAD NOOR; Prasetyo, Wibowo Heru; Al Irsyadi, Fatah Yasin; Lestari, Winda Dwi; Beauty, Melati
Jurnal SOLMA Vol. 14 No. 2 (2025)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

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

Abstract

In the 21st century, elementary school teachers need to have skills in designing active learning by implementing technology. Teachers who are able to integrate technology with active learning strategies not only improve their understanding of concepts, but also prepare their students to face future challenges. The activity was carried out to train teachers of Muhammadiyah Elementary Schools in Surakarta in designing active learning and using digital media. The activity was attended by 175 teachers of Muhammadiyah Elementary School in Surakarta. The form of activity is in the form of a workshop with a duration of 40 hours face-to-face and independently. The service team and teachers together learn to implement active learning and create digital learning media. The venue for the implementation at the University of Muhammadiyah Surakarta will be from December 2024 to January 2025. The results of the activity were to increase the understanding of Muhammadiyah Elementary School teachers in Surakarta in implementing an active learning model, creating digital learning content, and building a space to store digital learning content called "GaleriMu". The activity succeeded in improving teachers' skills in designing active learning using digital content and the existence of a storage space for digital learning content.
Refocusing, Reimaging, dan Rebuilding Sekolah Muhammadiyah Kholid, Muhammad Noor; Faiziyah, Nuqthy; Sutama, Sutama; Hidayati, Yulia Maftuhah; Sayekti, Ika Candra; Pramudita, Dias Aziz
Jurnal SOLMA Vol. 13 No. 2 (2024)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/solma.v13i2.14867

Abstract

The service partner is MI Muhammadiyah Sidoharjo (MIM Plasan). The condition of school among: student achievement in academic and non-academic activities still needs to be optimized, teachers have pedagogic competencies that still need to be improved, teachers' abilities in mastering technology to support learning need to be developed, do not yet have a school website, and communication networks and partnerships need to be strengthened. The purpose of this service is to rebuild the image of MIM Plasan so as to gain public trust. The methods carried out are champion school workshops, learning development workshops, IT integration workshops in learning, school web and social media development, and strengthening cooperation networks. The results obtained are: the formation of teams and strategies for champion schools, the development of more comprehensive teacher competencies in compiling kit and integrating them with IT, as well as social media and websites that are more updated regularly. The school feels a direct impact in service activities.
Profiles of mathematical identity among prospective mathematics teachers: A qualitative case study across mathematical ability levels Santosa, Yoga Tegar; Setyaningsih, Nining; Kholid, Muhammad Noor
Al-Jabar: Jurnal Pendidikan Matematika Vol 16 No 2 (2025): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v16i2.28718

Abstract

Purpose: This study aims to explore how prospective mathematics teachers construct their mathematical identity at different levels of mathematical ability. The research focuses on five key components of mathematical identity: interest, recognition, competence, performance, and belief about the nature of mathematics, and examines how these dimensions interact to shape teachers’ self-perception and readiness for professional practice. Method: A qualitative case study design was employed involving 46 undergraduate students from Mathematics Education programs in the Surakarta region, Indonesia. Three participants representing high, medium, and low mathematical ability levels were purposively selected for in-depth analysis. Data were collected through a non-routine mathematics test, a mathematical identity questionnaire, and semi-structured interviews. The analysis followed the Miles and Huberman interactive model through data reduction, data display, and conclusion drawing, supported by method triangulation for validity. Finding: The findings reveal variations in the formation of mathematical identity across ability levels. High-ability students demonstrated strong and stable identities characterized by internalized motivation, balanced recognition, and reflective competence. Medium-ability students showed partially developed identities influenced by contextual and social factors, while low-ability students exhibited fragile identities shaped by external motivation yet showed emerging reflective awareness. Significance: These findings highlight that mathematical identity develops dynamically through the interaction of cognitive ability, reflection, and social validation. The study emphasizes the need for identity-oriented pedagogical interventions such as guided reflection, peer teaching, and mentoring to strengthen reflective engagement and intrinsic motivation among prospective mathematics teachers. 
Peningkatan Kemampuan Menulis Artikel Ilmiah Calon Guru Matematika Melalui Pelatihan Zotero Maharani, Swasti; Yunita, Widia; Nasrulloh, Agung; Noor Kholid, Muhammad
Jurnal Pendidikan Tambusai Vol. 8 No. 1 (2024): April 2024
Publisher : LPPM Universitas Pahlawan Tuanku Tambusai, Riau, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/jptam.v8i1.13202

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Menulis artikel baik itu artikel ilmiah maupun artikel popular merupakan suatu kegiatan yang sering dilakukan oleh akademisi, tak terkecuali mahasiswa. Di dalam menulis artikel, terutama artikel ilmiah tidak bisa terlepas dari yang namanya sitasi/kutipan. Sitasi/kutipan digunakan untuk mengutip atau manyadur hasil penelitian/teori sebelumnya yang berkaitan dengan penelitian yang dilakukan. Untuk mempermudah penulisan kutipan atau sitasi biasanya para akademisi menggunakan tool atau alat yang biasa disebut references tool manager. Para calon guru matematika juga sudah familiar dengan references tool manager yaitu Mendeley. Namun, akhir-akhir ini Mendeley desktop sudah tidak berfungsi lagi di beberapa PC dan digantikan dengan Mendeley References Manager (MRM). MRM sendiri memiliki beberapa kekurangan yang terkadang tidak ditemukan solusi yang pas, sehingga disini perlu adanya pelatihan tentang references tool manager yang lain yaitu Zotero. Disini pelatihan diikuti oleh …. Mahasiswa calon guru matematika. Hasil yang diperoleh yaitu mahasiswa calon guru matematika dapat menginstall Zotero, membuat akun, mensinkronisasikan akun dengan aplikasi Zotero, menambahkan sumber-sumber, mengedit metadata sumber yang belum benar, membuat sitasi, dan dapat membuat daftar Pustaka.
Peningkatan Keterampilan Guru dalam Mengajarkan Matematika Berbasis Model Project-Based Learning Terintegrasi Pendekatan HOTS di Sanggar Belajar Sungai Buloh Malaysia Ishartono, Naufal; Ulya, Nuriya Hazma Arifatul; Sidiq, Yasir; Kholid, Muhammad Noor; Ningtyas, Yoga Dwi Windy Kusuma; Kartini, Nurul Hikmah; Oktiatama, Firlana Bakti
Buletin KKN Pendidikan Vol. 5, No. 2, Desember 2023
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/bkkndik.v5i2.22899

Abstract

Telah banyak pengabdian masyarakat yang memberikan pelatihan kepada guru terkait penerapan model pembelajaran Project Based Learning (PjBL). Selain itu juga telah banyak hasil pengabdian masyarakat yang memberikan pelatihan pendekatan Higher Order Thinking Skills (HOTS) kepada guru. Namun, belum ada pengabdian masyarakat yang berfokus untuk guru-guru di Sanggar Belajar Sungai Buloh, Malaysia, terkait bagaimana menerapkan model PjBL terintegrasi HOTS pada pembelajaran matematika. Maka tujuan dari pengabdian masyarakat ini adalah untuk meningkatkan keterampilan mengajar guru di SB Sungai Buloh melalui model PjBL terintegrasi HOTS untuk pembelajaran matematika. Metode yang digunakan berupa pelatihan dan terdiri dari tahap persiapan, penerapan, dan evaluasi. Untuk mengukur keberhasilan pelatihan, penulis menggunakan analisis kualitatif berbasis aspek dalam Theory of Planned Behavior, serta analisis kuantitatif menggunakan SPSS 23. Hasil dari pelatihan ditemukan bahwa guru memiliki persepsi dan intensi yang baik terkait model PjBL terintegrasi HOTS, dan mereka yakin dapat menerapkannya di masa yang akan datang. Selain itu, ditemukan bahwa mereka berhasil menerapkan model tersebut yang ditinjau dari nilai mayoritas siswa yang berada di atas rata-rata kelas yaitu 6,62. Diharapkan hasil dari pengabdian masyarakat ini dapat menjadi referensi bagi para peneliti dan praktisi di bidang pendidikan matematika tentang bagaimana melatihkan model PjBL terintegrasi HOTS.
Sampah jadi Berkah: Pemberdayaan Ibu-Ibu PCA Colomadu dalam Reduksi Sampah Rumah Tangga Hidayati, Yulia Maftuhah; Utami, Ratnasari Diah; Kholid, Muhammad Noor; Desstya, Anatri; Sayekti, Ika Candra; Ramadhan, Aldy Tri; Abdullah, Harits; Huda, Maskur; Augustin, Azzahra Nadia; Arum, Sekar Mustika
Jurnal SOLMA Vol. 14 No. 3 (2025)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/solma.v14i3.21264

Abstract

Background: Volume sampah rumah tangga di Kecamatan Colomadu terus meningkat dan menjadi masalah serius akibat rendahnya kemampuan warga dalam mengelola sampah. Kegiatan ini bertujuan memberdayakan ibu-ibu PCA Colomadu melalui peningkatan pemahaman dan keterampilan dalam pengurangan serta pengelolaan sampah secara berkelanjutan. Metode: Metode pelaksanaan meliputi edukasi, demonstrasi, workshop, dan pendampingan langsung, dengan pendekatan community-based empowerment yang menekankan partisipasi aktif peserta. Hasil: Hasil kegiatan menunjukkan peningkatan signifikan pada pemahaman peserta dari 76,29% menjadi 97,41%, serta peningkatan perilaku pengelolaan sampah dari 49,43% menjadi 70,1%. Temuan ini membuktikan bahwa model pemberdayaan berbasis komunitas efektif dalam membangun kesadaran lingkungan, menumbuhkan budaya pemilahan sampah di tingkat rumah tangga, serta berpotensi menjadi model replikasi dalam program pemberdayaan masyarakat menuju pola hidup zero waste.
Students' Math Literacy in Solving PISA-Like Problems in Papuan Local Context Muhammad Noor Kholid; Mardiana Nissa
AL-ISHLAH: Jurnal Pendidikan Vol 14, No 4 (2022): AL-ISHLAH: Jurnal Pendidikan
Publisher : STAI Hubbulwathan Duri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35445/alishlah.v14i4.2258

Abstract

Mathematical literacy in Indonesia is still relatively low. Student achievement in PISA questions is also still not adequate. Mathematical literacy is not limited to the ability to apply quantitative aspects of mathematics, it employs knowledge of mathematics in a broad sense. Mathematical literacy skills are closely related to interpreting problems related to local contexts into mathematical problems. This study aims to describe students' mathematical literacy activities in solving problems similar to PISA in the regional context; the context in which this research is desired is the local Papuan context. The research method employed is the descriptive qualitative method. The samples were 8th graders of SMP Batik Program Khusus Kartasura, totaling six students. Data was collected using a written test consisting of two items of  PISA-like problems, observations, and interviews. This research produces problems similar to PISA within the local context of Papua. PISA-like questions are declared to be valid, simple, and have the potential to determine students' mathematical literacy abilities. The PISA-like problems are valid based on the review by experts in the appropriate field in terms of aspects, content, structure, and language. This PISA-like problem was also developed based on seven basic mathematical abilities that employ mathematical literacy. We successfully concluded that the dominant aspects for students are making assumptions and conceptualizing. While the parts of structuring and formulating a model are not dominant. In addition, PISA-like problems have more potential effect on determining students' mathematical literacy.
Co-Authors Abdullah, Harits Adi Nurcahyo Adi Nurcahyo Aditya Laili, Luthfiana Afiyah, Asyifa Nur Ahadiyati, Arina Ahmad Zul Fakar Ahmad Zul Fakar Anatri Desstya Anggareni, Peni Anggoro Hermawan, Dwi Annisa Swastika Aprian Agung Kurniawan Arifin, Achmad Januar Arina Ahadiyati Arlinwibowo, Janu Arum, Sekar Mustika Astiani, Afifatul Ayu Asyifa Nur Afiyah Augustin, Azzahra Nadia Beauty, Melati Cholis Sa’dijah Christina Kartika Sari Dewi, Deshinta A Dias Aziz Pramudita Erry Hidayanto Fadhilah, Himmatul Fatah Yasin Al Irsyadi FATHULOH, RIDWAN Ferdianto, Juli Fuad Luky Atmaja Hastuti, Windi Hendrisa Rizqie Romandoni Hidayati, Miftachul Huda, Maskur Husodo, Herlang Duta Ika Candra Sayekti Indriyani Tri Jayanti Ismiyati, Ismiyati Janu Arlinwibowo Khofifah Titan Palupi Kusuma, Anton Adi Suryo Laili Etika Rahmawati Lestari, Winda Dwi Lingga Nico Pradana Loc, Nguyen Phu Magdas, Ioana Christina Mahmudah, Mutiara Hisda Mardiana Nissa Mark Angelo C Reotutar Masduki Maulida, Dini Wardani Ma’ulfi Kharis Abadi Miftakhul Djannah Minsih Mitasari, Dewi Mohamad Waluyo Mohammad Rifki Maulana Muhaimin, Lukman Hakim Muhamad Toyib Nanna, A.Wilda Indra Nasrulloh, Agung Naufal Ishartono Ningrum, Auliya Ningtyas, Yoga Dwi Windy Kusuma Nining Setyaningsih Nuqthy Faiziyah Nuriya Hazma Arifatul Ulya Nurul Hikmah Kartini Oktiatama, Firlana Bakti Permadi, Hendro Prasetyo, Wibowo Heru Pratama, Muhammad Alif Pratiwi, Enditiyas Rafiza binti Abdul Razak Rafiza binti Abdul Razak Ramadhan, Aldy Tri Ratnasari Diah Utami Razak, Rafiza binti Abdul Risda Putri Nugrahani Rosita Dewi S Sukimin Santosa, Yoga Tegar Setiadi, Arief Siti Hajar binti Halili Soraya Djamilah, Soraya Sri Rejeki Sri Sutarni Sukowati, Berliani Ardelia Sutama Swasti Maharani SWASTI MAHARANI Swasti Maharani, Swasti Syafif, Insiana Aribatunnisah Tiara Citra Maharani Firdaus Tika Andriani Tina Putri Alfiana Tonra, Wilda Syam Toto Nusantara Ulya, Nuriya Hazma Arifatul Vrapi, Asllan Waluyo, Mohamad Widia Yunita Widia Yunita, Widia Yasir Sidiq Yoga Dwi Windy Kusuma Ningtyas Yulia Maftuhah Hidayati Zayyadi, Moh Zeni Fadlila Agustina