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Designing Mathematics Instruction Based on Problem-Based Learning to Improve the Mathematical Communication Skills of Eighth-Grade Junior High School Students Faizah Tasya Nabila; Suyono; Lukman El Hakim; Tian Abdul Aziz
MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Vol. 8 No. 2 (2026): MATHEMA
Publisher : Universitas Teknokrat Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33365/jm.v8i2.2675

Abstract

This study aims to analyze the need to develop a Problem-Based Learning (PBL)-based mathematics instructional design to improve the mathematical communication skills of eighth-grade junior high school students. The study employed a descriptive approach and involved 31 eighth-grade students and a mathematics teacher at SMPN 2 Jakarta. Data were collected through observation, a mathematical communication skills test, a questionnaire, and interviews. The results of the study indicate that students’ mathematical communication skills remain low, particularly in constructing mathematical models, representing ideas in graphs, and explaining solutions in their own words. The average test score of 20.11 indicates that most students have not yet met the expected proficiency indicators. Furthermore, instruction remains teacher-centered, resulting in students being less active in communicating mathematical ideas. The results of the curriculum and conceptual analysis identified “Equations of Straight Lines” as a suitable topic to be developed through PBL-based instructional design. Thus, the results of this needs analysis serve as the basis for designing an instructional approach capable of facilitating the improvement of students’ mathematical communication skills.
Pengaruh Pembelajaran Berdiferensiasi Terhadap Pemahaman Konsep Pecahan Ditinjau dari Motivasi Belajar Siswa SD Nina Nopiana Yuda; Tian Abdul Aziz; Yumiati Yumiati
Jurnal Impresi Indonesia Vol. 4 No. 12 (2025): Jurnal Impresi Indonesia
Publisher : Riviera Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58344/jii.v4i12.7129

Abstract

Penelitian ini bertujuan menganalisis pengaruh pembelajaran berdiferensiasi terhadap kemampuan pemahaman matematis konsep pecahan ditinjau dari tingkat motivasi belajar siswa kelas V sekolah dasar. Latar belakang penelitian adalah rendahnya pemahaman siswa terhadap pecahan, sebagaimana ditunjukkan hasil AKM dan tes sumatif di Kabupaten Karawang, di mana lebih dari 60% siswa masih berada di bawah standar. Metode penelitian yang digunakan adalah kuantitatif dengan pendekatan kuasi eksperimen desain pretest-posttest non-equivalent control group, melibatkan 80 siswa kelas V SDN Duren III yang terbagi ke dalam kelas eksperimen (40 siswa) dengan pembelajaran berdiferensiasi berbasis gaya belajar (visual, auditori, kinestetik) dan kelas kontrol (40 siswa) dengan pembelajaran konvensional. Instrumen penelitian meliputi tes pemahaman matematis, kuesioner motivasi belajar, lembar observasi, dan pedoman wawancara yang telah teruji validitas isi (Gregory = 1,0) serta reliabilitas (Cronbach Alpha 0,452–0,566). Analisis data menggunakan uji-t dan ANOVA dua arah. Temuan penelitian menegaskan bahwa pembelajaran berdiferensiasi memberikan peningkatan signifikan pada pemahaman konsep pecahan dibandingkan pembelajaran konvensional (p < 0,05), dengan kenaikan nyata pada seluruh rentang kemampuan siswa. Analisis ANOVA menunjukkan tidak adanya interaksi antara pembelajaran dan motivasi belajar, yang berarti diferensiasi efektif bagi siswa bermotivasi tinggi, sedang, maupun rendah. Dengan karakter adaptif-inklusifnya, strategi ini direkomendasikan sebagai pendekatan instruksional yang dapat diterapkan secara luas untuk memperkuat numerasi siswa sekolah dasar.
Profil Kesulitan Siswa dalam Menyelesaikan Masalah SPLDV ditinjau dari Computational Thinking Skill dan Self-Confidence Mustika Khoirunnisa; Lukman El Hakim; Tian Abdul Aziz
Media Pendidikan Matematika Vol. 13 No. 2 (2025): J-MPM
Publisher : Program Studi Pendidikan Matematika, FSTT, Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/mpm.v13i2.18405

Abstract

This study aims to identify students’ difficulties in solving Two-Variable Linear Equation System (SPLDV) problems in terms of their computational thinking skills and levels of self-confidence. The study incorporates four indicators of computational thinking combined with students’ self-confidence levels to examine their patterns of difficulty more comprehensively. A qualitative case study approach was employed, involving two ninth-grade students from MTsN Muaradua who were selected based on the results of a self-confidence questionnaire and a computational thinking test. Data were collected through questionnaires, written tests, and semi-structured interviews. The findings show that students with high self-confidence were able to solve SPLDV problems across all four indicators through logical, reflective, and systematic steps. In contrast, students with low self-confidence experienced difficulties at the abstraction stage and particularly at the generalization stage when required to formulate a general equation from the obtained results. Low self-confidence led to hesitation in connecting relationships between variables and hindered reflective thinking. These findings indicate the need to strengthen affective aspects alongside the development of computational thinking in SPLDV learning.
Straight-Linear Equation Learning Design Through Problem Based Learning to Stimulate Junior High School Students' Critical Thinking Skills Gharitza Zahira Shofa; Tian Abdul Aziz; Lukman El Hakim
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 3 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i3.1170

Abstract

A preliminary study in a junior high school revealed that students mathematical critical thinking skills in linear equations remain low, marked by learning barriers dominated by concrete-arithmetic reasoning. This study aims to develop a draft instructional design based on Problem-Based Learning (PBL) specifically formulated to stimulate the four indicators of Facione’s critical thinking framework regarding the concept of pure slope. The method used was instructional design research based on the Instructional Development Model (IDM) by Suparman and was limited to the stage of designing the initial draft product. This design was integrated with the “Future Savings” financial context within the worksheets. The results showed that each designed PBL syntax successfully mapped activities that stimulated critical thinking in a systematic manner. The “interpretation” indicator was triggered through problem orientation; “analysis” through the organization of tabular data; a combination of “analysis” and “evaluation” through the investigation of the  ratio in graphs; “inference” through the formal derivation of the gradient value (m); and “evaluation” through visual challenge questions. The study concludes with an initial draft of instructional design designed to serve as a theoretical basis for bridging students’ transition toward formal algebraic reasoning.
Co-Authors Abdul Karim Abdul Karim ABDUL MANAF Ade Dwi Oktaviani Ade Dwi Oktaviani Adinda Cahyani Adinda Fuadillah Oktafiani Agung Purwanto Albab, Novita Ullil Amarta Prayuti Amarta Prayuti Ambarwati, Lukita Andita Sulistyaningrum Anggita, Ritzi Anny Sovia Anny Sovia Arsyaf, Fahira Aulia Kartika Syari Aurelia, Flavia Baginda Edward Siagian Bayu Gunawan Chairunnisa Inayatusufi Contillo, Gerry Dwi Antari Wijayanti Dwi Jeanita Sengkey Efendi Napitupulu Eko Siswanto El Hakim, Lukman Ellis Salsabila, Ellis Elvi Nurhayati Selian Ester Sinaga Esti Ambar Nugraheni, Esti Ambar Fadillah Al Amin Fahira Arsyaf Faiza Izzati Mufti Faizah Tasya Nabila Faizah Tasya Nabila Fajrianto, Trian Faoza Saaroh Febriawan, Dimas Flavia Aurelia Flavia Aurelia Hidaja Flavia Aurelia Hidajat, Flavia Aurelia Flavia Aurelia Hidayat Gesti Marsaulina Br. Pakpahan Gesti Marsaulina Pakpahan Gharitza Zahira Shofa Gunawan, Bayu Haeruman, Leny Dhianti Hakim, Lukman El Hasna Afifah Indiyah, Fariani Hermin Irfan Wahyu Prananto Janna Sri Bina Br Barus Juniarisandy Saragih Karimah, Nabilah Nurul Kisworowati Kms. Muhammad Amin Fauzi Kurniasih, Meyta Dwi Lamsihar Gandauli Ritonga Larasati Rizky Putri Lastri Hutagalung Lubis, Risa Nursamsih Lukita Ambarwati Lukman El Hakim Lukman El Hakim Lukman El-Hakim Makmuri Makmuri Makmuri Makmuri Martinus Didik Setyawan Masitah Shahrill, Masitah Maysun, Maysun Meiliasari Meyta Dwi Kurniasih, Meyta Dwi Miftahul Jannah Muh. Ilham Dhani Muiz Ghifari Muiz Ghifari Mulia, Tri Cahya Mustafa Buğra Akgül Mustika Khoirunnisa Mutiah Muzakki Tamami Nabillah, Rokhmatun Niken Sulfayanti Nina Nopiana Yuda Nita Adelyn Nur Puji Lestari Nur Puji Lestari Lestari Nurafni Oktaviani Oktafiani, Adinda Fuadillah Pakpahan, Gesti Marsaulina Br. Pasri Pinta Deniyanti Pinta Deniyanti S Pinta Deniyanti Sampoerno Pinta Deniyanti Sampoerno Pramudiani, Puri Prasetyo, Rizky Budi Puri Pramudiani Puri Pramudiani Puri Pramudiani Puri Pramudiani RA Seravika Primasari Rahayu, Wardani Rahmi, Usma Junia Ratna Juwita Restie Amelia Rhaudiya Azahra, Salsabila Riam Nurussilmah Rila Septia Pratama Putri Rila Ritzi Anggita Robiah Adawiyah Rokhmatun Nabillah Rosa Yuliana Rosari, Veni Rotua Simbolon Samosir, Ernika Saraswati, Emiliana Septi Nur Fauziya Shafa Khairunnisa Shofa, Gharitza Zahira Silih Warni Simbolon, Rotua Sofyan Husein Nasution Sri Adi Widodo Sri Adi Widodo Suardi, Suparli Suparli Suardi Supiat Supiat SUYONO Swida Purwanto Syahdatunnisa, Anis Amalia Tamami, Muzakki Tita Rosita Valentine Marheber Vera Maya Santi Vivied Eka Pratiwi Wardani Rahayu Wardani Rahayu Yohanes Soenarto Yoppy Wahyu Purnomo Yulia Saraswati Yuliana, Rosa Yumiati YUYUN ELIZABETH PATRAS, YUYUN ELIZABETH