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Studi Analisis Kesalahan Konsep dalam Buku Kalkulus Multivariabel dan Implikasinya Terhadap Pendidikan Matematika Suwanto; Pujiono Sihite; Nurul Azmira Pane; Venesya Pitta Rezeki Siburian; Joyce Lidia Patricia Daeli; Mukhtar
Pendas : Jurnal Ilmiah Pendidikan Dasar Vol. 10 No. 04 (2025): Volume 10 No. 04 Desember 2025 Terbit
Publisher : Program Studi Pendidikan Guru Sekolah Dasar FKIP Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/jp.v10i04.36783

Abstract

The precise definition and presentation of concepts play a crucial role in students’ understanding of advanced mathematics. This study aims to analyze the alignment of the content in the Multivariable Calculus textbook with mathematically correct concepts and to identify sections that may lead to misconceptions. The method employed is a qualitative-descriptive analysis through content analysis, focusing on definitions, explanations, and example problems presented in the Multivariable Calculus textbook under study. The analysis results indicate several inaccuracies in the presentation, such as inconsistent use of symbols and unclear explanations of concepts. These inaccuracies have the potential to hinder students’ conceptual understanding. This study recommends a thorough review of the content in the Multivariable Calculus textbook to ensure conformity with mathematical principles and to support the learning process.
Analisis Scaffolding dan Visualisasi dalam Penyajian Materi Vektor 3D pada Modul Matematika Peminatan kelas X KD 3.2 Suwanto; Adam Rafli; Indah Ayu Ramadany; Nabila Azuhra; Nofa Nasywa Ramadhani; Syifa Eriza Nasution; Mukhtar
Pendas : Jurnal Ilmiah Pendidikan Dasar Vol. 10 No. 04 (2025): Volume 10 No. 04 Desember 2025 Terbit
Publisher : Program Studi Pendidikan Guru Sekolah Dasar FKIP Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/jp.v10i04.36839

Abstract

This research was conducted to assess the quality of Scaffolding and visualization in the presentation of the Mathematics Module material for Grade X KD 3.2 regarding 3D vector material. The approach used in this research is a qualitative descriptive approach, which is carried out by analyzing the structure of the material, illustrations, example questions, and exercises provided in the module using content analysis techniques. The focus of the analysis conducted leads to several main aspects, including: (1) The sequence and form of Scaffolding presented as support in understanding the concept gradually, and (2) The effectiveness of visualization to help define and organize spatial vector data in space. This research resulted in a finding that the module has used Scaffolding with a tiered presentation of concepts, starting from the initial stage, namely the introduction of vector material in space to the stage of applying operations on vectors. However, on the other hand, it was also found that there are several stages of this Scaffolding that are not consistent, namely in the transition from examples to exercises which require a higher level of independence. Based on the visualization, the module utilizes spatial coordinate diagrams and vector arrow representations. However, some visuals lack detail in depicting orientation and depth in space, potentially leading to misconceptions among students. Overall, the module provides sufficient support for learning, but further strengthening of conceptual visualizations and more systematic Scaffolding is needed to optimally facilitate students' spatial thinking.
ANALISIS KRITIS BUKU CLP-3 MULTIVARIABLE CALCULUS: KEKUATAN PEDAGOGIS, KESALAHAN KONSEPTUAL, DAN IMPLIKASI BAGI PEMBELAJARAN KALKULUS MULTIVARIABEL Suwanto; Samuel Tappin Martua Sitorus; Iren Kurnia Nadapdap; Sergi Br Sembiring; Ester Fransiska Nababan; Mukhtar
Pendas : Jurnal Ilmiah Pendidikan Dasar Vol. 10 No. 04 (2025): Volume 10 No. 04 Desember 2025 Terbit
Publisher : Program Studi Pendidikan Guru Sekolah Dasar FKIP Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/jp.v10i04.36905

Abstract

Artikel ini menyajikan analisis kritis terhadap buku CLP-3 Multivariable Calculus karya Feldman, Rechnitzer, dan Yeager dengan fokus pada kekuatan pedagogis, potensi kesalahan konseptual, dan implikasinya bagi pembelajaran Kalkulus Multivariabel. Penelitian ini menggunakan pendekatan kualitatif melalui analisis dokumen, dengan menelaah secara sistematis struktur bab, alur penyajian materi, representasi konsep kunci (limit multivariabel, turunan parsial, gradien, optimasi, dan integral lipat), serta konsistensi notasi dan ketepatan rumus. Analisis dilengkapi dengan perbandingan terhadap beberapa buku dan sumber kalkulus multivariabel lain yang diakui secara luas.Hasil kajian menunjukkan bahwa CLP-3 Multivariable Calculus memiliki sejumlah kekuatan utama, antara lain struktur materi yang runtut, keterkaitan yang kuat dengan kalkulus satu variabel melalui strategi daur ulang konsep, penggunaan visualisasi geometris dan alat bantu prosedural (misalnya tree diagrams untuk Chain Rule), serta kelimpahan latihan yang disertai petunjuk dan solusi. Di sisi lain, ditemukan beberapa kelemahan, seperti status buku yang masih bersifat work in progress, ketergantungan pada seri CLP sebelumnya, penempatan konsep penting (misalnya Jacobian dalam koordinat umum) sebagai materi opsional, serta sejumlah ketidaktepatan notasi, rumus, dan penulisan yang berpotensi menimbulkan miskonsepsi. Implikasi dari temuan tersebut adalah bahwa CLP-3 Multivariable Calculus tetap layak digunakan sebagai buku ajar utama pada mata kuliah Kalkulus Multivariabel yang berorientasi pada pemahaman konseptual dan pembuktian, dengan syarat penggunaannya disertai klarifikasi konsep oleh dosen, pemanfaatan lembar errata, serta integrasi dengan bahan pendamping yang menyesuaikan konteks mahasiswa. Selain itu, analisis ini menegaskan pentingnya peninjauan kritis terhadap buku teks matematika sebelum dan selama digunakan dalam proses pembelajaran.
Prolonged Inheritance Distribution: The Perspective Of Al Maslahah And Legal Certainty Kuswoyo, Bahet Edi; Reyzaldi Fitrananda; Moh. Adrian; Renny Fusvitasari; M. Wildan Murtadho Al Idrus; Mukhtar; S, Kholil
El-Ghiroh : Jurnal Studi Keislaman Vol. 24 No. 1 (2026): Maret
Publisher : Sekolah Tinggi Agama Islam (STAI) Bumi Silampari

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37092/el-ghiroh.v24i1.1477

Abstract

Prolonged inheritance distribution is a recurring phenomenon in Muslim society that often gives rise to legal uncertainty, family conflict, and the neglect of the objectives of Islamic law. This study examines the issue of delayed inheritance distribution from the perspective of al-maslahah and legal certainty, highlighting the tension between normative Islamic inheritance rules and their practical application. The research employs a normative legal method combined with an empirical (socio-legal) approach. Normative analysis is conducted by examining statutory regulations, court decisions, and doctrines of fiqh and ushul fiqh related to inheritance law, with particular attention to the principles of al-maslahah and legal certainty. The empirical approach is employed to investigate the social realities that contribute to the delay in inheritance distribution, including family dynamics, cultural considerations, psychological factors, and institutional practices. This approach is essential because prolonged inheritance cases are not merely normative legal issues but are also influenced by non-legal factors embedded in social life. By integrating normative and empirical perspectives, this study provides a comprehensive understanding of the causes and implications of delayed inheritance distribution. The findings are expected to contribute to the development of a more responsive and just framework for inheritance law that upholds al-maslahah and ensures legal certainty in Islamic inheritance practices.
Implementasi Sistem Monitoring Posisi pada Overhead Crane Berbasis Internet of Things Mukhtar; Habriansyah, Imran; Djihad, Hilal Ansyari
Jurnal Teknik Mesin Sinergi Vol 24 No 1 (2026): April 2026
Publisher : Politeknik Negeri Ujung Pandang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31963/sinergi.v24i1.5878

Abstract

An overhead crane is a material handling device with a bridge-like structural frame supported at both ends by wheels that move along a rail track. This equipment is generally driven by an electric motor with high torque and is widely used in industrial activities for lifting and transporting materials. However, conventional operation of overhead cranes still poses a risk of workplace accidents because operators must remain close to the crane's operating area during control. This research aims to design and implement an Internet of Things (IoT)-based position monitoring system for an overhead crane in order to improve operator safety and enable remote monitoring of crane movement. The system utilizes a NodeMCU ESP32 as a communication interface between the monitoring system and the server, while a rotary encoder is used as a sensor to detect the crane's position. The experimental results show that the developed monitoring system is capable of detecting and displaying the crane position in real time through a web-based interface. Prototype testing indicates that the system can monitor crane movement to the left and right within a position range of −500 mm to +500 mm with a reading frequency of 26 Hz and stable system performance. These results demonstrate that the proposed IoT-based monitoring system can effectively assist operators in monitoring crane movement remotely, thereby improving operational safety and efficiency in industrial environments.