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Application of Gauss-Jordan in Fixed Pulley System Solving to Mathematical Thinking Abilities and Learning Outcomes Maryani; Bambang Supriadi; Ummi Zahrotul Ainiyah; Aulia Wulansari Agustin; Lutfiah Hafifatul Jannah; Sakti Kalisa Sefanda; Shinta Nuriyah Mahbubiyah Royani
Jurnal Pendidikan Fisika Vol. 14 No. 2 (2026): PENDIDIKAN FISIKA
Publisher : Universitas Muhammadiyah Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26618/0jeqap46

Abstract

Mathematical thinking ability is an essential component of physics learning because many physical phenomena are represented through mathematical models and systems of equations. However, students often have difficulty solving fixed-pulley system problems because they must simultaneously interpret physical concepts and solve systems of linear equations with multiple variables. This study aimed to analyze the application of the Gauss-Jordan elimination method in learning fixed pulley systems and to examine its effect on mathematical thinking ability, learning outcomes, and student responses. The study employed a quantitative approach with a posttest-only control-group quasi-experimental design. The participants comprised 130 respondents across two educational levels: 61 university students from the Physics Education Study Program at the University of Jember and 69 eleventh-grade students from SMAN 3 Jember. The experimental class was taught using the Gauss-Jordan elimination method, while the control class was taught using the substitution-elimination method. Data were collected through essay tests, learning outcome tests, and response questionnaires, and analyzed using the Independent Samples t-test and the Mann-Whitney U test, depending on the data distribution. The results showed that among school students, significant differences were found in the indicators of specializing (0.016), generalizing (0.001), and conjecturing (0.031), but not in convincing (0.468). Among university students, significant differences were found across all mathematical thinking indicators: specializing (0.007), generalizing (0.000), conjecturing (0.018), and convincing (0.004). Learning outcomes also differed significantly for both university students (0.000) and school students (0.010). In addition, student responses to the method's implementation were positive, averaging 71%. The novelty of this study lies in the integration of the Gauss-Jordan elimination method as a structured mathematical procedure in solving fixed pulley system problems in physics learning across two educational levels. In conclusion, the Gauss-Jordan elimination method can serve as an alternative instructional strategy that supports mathematical thinking, improves learning outcomes, and strengthens the connection between physical concepts and mathematical representations, thereby contributing to more systematic and meaningful physics education.
Wordwall Quiz Assessment on Global Warming Impacts on Student Learning Activities and Outcomes Hanim Isti Fadah; Ike Lusi Meilina; Bambang Supriadi
QUANTUM: Jurnal Inovasi Pendidikan Sains Vol 17, No 1 (2026): April 2026
Publisher : Universitas Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/quantum.v17i1.21857

Abstract

Physics learning is a learning process that contains elements of interest and involves scientific information and the environment. The application of the Wordwall quiz assessment on the subject of global warming in class X-1 students at SMA Negeri 5 Jember has the objectives of (1) increasing student learning activities after applying the Wordwall quiz assessment and (2) improving student learning outcomes after applying the Wordwall quiz assessment. The type of research used is classroom action research with the Kemmis and McTaggart model. The research subjects were X-1 class students with a total of 36 people. Data collection techniques used questionnaires, tests, interviews, observations, and documentation. Data on student learning activities in cycle I obtained an average value of 72.86. Based on the results in cycle I, improvements were made in cycle II with an average student score of 75.39. Data on student learning outcomes in cycle I obtained a percentage of 58%. The learning outcomes obtained in cycle II were 94%. Based on the results of the study, it was found that the activity and learning outcomes of students increased with the application of the Wordwall quiz assessment in the classroom. The implication of this study is that the use of the Quiz Wordwall assessment on the topic of global warming can increase student engagement, which has a positive impact on their learning activities and outcomes. This supports the integration of interactive technology in the science learning process.
Expected Value of Helium Ion Electron Momentum in Momentum Space with Primary Quantum Numbers n≤3 Bambang Supriadi; Hana Mardhiana; Wendy Indra Kristiawan; Diana Kamalia; Ike Kumala Sari
Jurnal Penelitian Pendidikan IPA Vol 9 No 10 (2023): October
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v9i10.3861

Abstract

The aim is the expected value of helium ions to determine its properties as a heat transmitter to reactors and chirogenic science. This research is non-experimental research using quantum mechanics literature study methods because there are many previous studies that are relevant to this research. Data on the expected value of electron momentum in helium ions is determined based on numerical calculations using the Matlab 2015a program to simplify calculations using ion expectation calculations in momentum. The results obtained are that the electron momentum value in the helium ion can provide an overview of the average momentum value of the helium ion electrons in momentum space. This research data also shows that in momentum space the expected value of electron momentum decreases as the principal quantum number (n) increases. This can be seen when n=1,l =0 then 3p0 = 1.3146, and when n=3,l =0 then 3p0 = 0.5098.
Probabilitas Menemukan Elektron Atom Tritium dalam Ruang Momentum dengan Bilangan Kuantum Utama n ≤ 3 Bambang Supriadi; Hildatul Zannah; Salfa Zahroh Ahadah; Aminatus Sa’diah; Erika Divian Chandani
Jurnal Penelitian Pendidikan IPA Vol 11 No 2 (2025): February
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v11i2.4032

Abstract

The tritium atom is an isotope of the hydrogen atom which only has one electron, so this research aims to determine the probability of finding a tritium atom electron ((_1^3)H) in momentum space with the principal quantum number n ≤ 3. This research is included in non-experimental research using literature study methods related to quantum mechanics. To determine the probability data for the electron momentum of the Tritium atom ((_1^3)H) numerical calculations were used using the Matlab R2021a program. The results obtained in this research are in the form of probability values for the electron momentum of the Tritium atom ((_1^3)H) which will provide an overview of the existence of electrons in the momentum space. Based on the research results, it can be shown that in momentum space, the probability of finding a Tritium atom electron increases as the principal quantum number (n) increases.
Probability of Electron Ion 3Li^(2+) In Momentum Space At n ≤ 3 Safina Aulia Sani; Rike Dwi Wulandari; Ana Zuyyina Ulfah; Bambang Supriadi; Nilam Cahya Kusumaningtyas
Jurnal Penelitian Pendidikan IPA Vol 9 No 10 (2023): October
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v9i10.4288

Abstract

Lithium ions (3)  is a particle that has a single electron and is formed because lithium metal loses 2 of its 3 valence electrons. Probability is the square modulus of a wave function. Electron probability is a description of the discovery of electrons in space. This study aims to determine the probability value of electron momentum of Lithium ion (3). This type of research is non-experimental research in the form of developing existing theories with theoretical research methods. When viewed from the main orbital quantum value, the greater the probability value or the easier the electron is found at a larger quantum number. When viewed from the level of the probability interval, the greater the probability interval, the greater the main quantum value. In accordance with the theory which states that the large main quantum number n and orbital quantum l result in the probability value of Lithium ions getting bigger.
Legendre Polynomials are Associated in the Schrodinger Polar Equation of Helium Ions Bambang Supriadi; Eryna Dwicahyaning Krisnawanto; Ratih Wahyudianti; Mohammad Fathorrosi; Muhammad Najih Hamdi; Eka Citra Rahayu; Haniyah Alivia
Jurnal Penelitian Pendidikan IPA Vol 10 No 5 (2024): May
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v10i5.5913

Abstract

The helium ion is one of the ions classified as a hydrogenic atom because it has only one electron in its outer orbital so that the helium ion problem can be solved using the Schrodinger equation approach. The Schrodinger equation of the polar part of the helium ion can be solved by the associated legendary polynomial function, . The polar function expresses the angle formed by the vector of the electron's position relative to the z-axis of the helium ion's nuclear position. And it is produced that the polar function of the hydrogenic atom has the same polar function both in position space and in momentum space .
Probability of He+ Ion at Quantum Number 3 ≤ n ≤ 4 in Momentum Space Bambang Supriadi; Sisilia Nur Hikmah Anggraeni; Merry Khanza Kusuma Wardhany; Fadia Arisma Iswardani; Nabila Ayu Rosyidah; Dwi Pangesti
Jurnal Penelitian Pendidikan IPA Vol 10 No 5 (2024): May
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v10i5.6458

Abstract

Ions resulting from the ionization of helium atoms are known as helium ions. Atom of Helium The probability distribution of the particle locations and velocities inside a helium atom is referred to as probability. Using theoretical study methods, the goal of this research is to find the probability of an electron's position in a helium atom at the quantum number 3 ≤ n ≤ 4. This type of research is non-experimental research by developing previously existing theories. This type of research is non-experimental research by transforming the radial wave function of hydrogenic atoms in position space into a radial wave function in momentum space using the Fourier transformation, then including a number of Gegenbauer functions and using the probability equation of finding an electron in a Helium ion in momentum space. The results of this research provide information regarding the position and probability of the existence of electrons in the helium atom. The probability value for the Helium ion is obtained using the equation P(p) =   which is used to indicate the probability of finding an electron in a helium atom is directly proportional to the principal quantum number (n) and the value of the electron's momentum. The larger the electron momentum interval, the greater the probability.
PELATIHAN PENERAPAN MODUL AJAR BERBASIS STEM-PJBL UNTUK MELATIH ENGINEERING DESIGN PROCESS SISWA SMA Albertus Djoko Lesmono; Nila Mutia Dewi; Rif’ati Dina Handayani; Kendid Mahmudi; Bambang Supriadi; Niswatul Kariimah; Chilwatun Nasiroh
Jurnal Pengabdian Masyarakat Multidisiplin Vol 9 No 2 (2026): Februari
Publisher : LPPM Universitas Abdurrab

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36341/jpm.v9i2.7112

Abstract

21st-century education that equips students with 6C skills is a crucial competency that students need to possess in order to compete in the global era. One effective learning approach for training these skills is STEM-Project-Based Learning (STEM-PjBL). Training and community service were conducted at SMAN Plus Sukowono to enhance teachers' competence in implementing STEM-PjBL-based teaching modules through structured training. The activity was conducted using a Community-Based Research (CBR) approach and involved 40 teachers as participants. The activity consisted of four stages: preparation, planning, implementation, and evaluation. The training included an explanation of the basic concepts of STEM-PjBL, an explanation of the teaching modules, and a simulation of the practical learning process of creating the “Da Vinci Bridge” project. The evaluation was conducted through a post-test consisting of 10 questions using Quizizz. The post-test results showed that most participants had a high level of understanding, with the majority of answers being accurate to within 90% or more of the correct answer. However, there was an important finding regarding the gap in understanding, where 80% of participants achieved perfect understanding, while the other 20% still needed reinforcement, especially in terms of conceptual foundations.These findings indicate that the training was effective in improving teachers' understanding of the STEM-PjBL teaching module, although follow-up is still needed to ensure equal competency. This activity is expected to strengthen the implementation of STEM learning in schools and support the development of students' 6C and EDP skills.  
The Effect of Project-based Learning on Self-efficacy and Learning Outcomes of Physics Students in High School on Momentum and Impulse Learning Material M. Rizki Febrian; Bambang Supriadi; Firda Kusuma Ayu Anggraeni
Jurnal Ilmiah Pendidikan Fisika Vol 10, No 2 (2026): JUNE 2026
Publisher : Universitas Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/jipf.v10i2.18326

Abstract

Physics learning at the high school level is typically characterized by a predominance of teacher-led activities over student engagement, resulting in suboptimal student confidence and learning outcomes. This study aims to examine the effect of the application of the project-based learning (PjBL) learning model on student learning outcomes, especially in the learning material of momentum and impulse. This study is based on the need for innovative transformation of learning management to improve the quality of human resources and the active involvement of students as learning subjects. The employed research method is quantitative with a control-only design. The research sample comprised 10th-grade science students at Ibrahimy High School, categorized into Science 1 as the experimental group employing the project-based learning model and Science 2 as the control group utilizing the conventional model. The homogeneity test yielded a significance value of 0.620, which exceeds 0.05, indicating that the pre-test data for both the experimental and control classes are homogeneous. The normality test of the self-efficacy questionnaire data was conducted on 31 data samples using the Shapiro-Wilk method. The questionnaire and post-test normality test demonstrated that the data distribution in both the experimental and control groups was normal. The t-test on the questionnaire scores revealed a significance value of 0.002, which is below 0.05, indicating that the null hypothesis (Ho) was rejected and the alternative hypothesis (Ha) was accepted. Thus, there was a significant difference in self-efficacy between students in the experimental class and the control class. Moreover, the t-test on the post-test scores showed a significance value of 0.000, less than 0.05, meaning that (Ho) was rejected and (Ha) was accepted. Thus, the learning outcomes between both classes were significantly different. This study concludes that the implementation of the project-based learning model significantly enhances student self-efficacy and learning outcomes in comparison to conventional learning models. PjBL has demonstrated the capacity to foster more dynamic and solution-focused learning via real-world problem-solving and innovative product development.
Analytic Method And Matrix Diagonalization On Eigen System Of Hermitian Matrix Operator Bambang Supriadi; Sisilia Nur Hikmah Anggraeni Anggraeni; Badriyah; Fidia Alhikmah Putri; Puput Aprilia Eka Sari; Indah Selviandri; May Yani br Sembiring
Jurnal Penelitian Fisika dan Aplikasinya (JPFA) Vol. 15 No. 1 (2025)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jpfa.v15n1.p40-51

Abstract

The solution of the Hermitian eigenoperator matrix problem produces an eigensystem consisting of eigenvalues ​​and eigenvectors. This study aims to determine the complete solution of the eigensystem and the diagonalization of the Hermitian order matrix operator.  analytically. The results of the study show that every eigenproblem in the Hermitian matrix operator  generate several eigenvalues  according to the order of the matrix operator, the eigenvalues ​​are real numbers. Eigenvectors,  of the Hermitian matrix operators are orthogonal because  and   thus forming a basis matrix  and is unitary. A Hermitian matrix can be diagonalized through its basis matrices and a diagonal matrix is ​​obtained.  whose diagonal elements are the eigenvalues ​​of the Hermitian operator.
Co-Authors Ad'hani Miftachul Jannah Addina Fatikha Zahra Ade Shahnaz Ruhil Ade Shahnaz Ruhil Agus Abdul Gani Ahmad Janukhi Bisyri Ajeng Puspaningrum akhmad rosyidan rifaldi Albertus D. Lesmono Albertus Djoko Lesmono Alda Alvina Hawa Alex Harijanto Alfi Hidayat Alfido Fauzy Zakaria Alvi Maulidia Amar Ma'ruf Al Bawani Aminatus Sa’diah Ana Zuyyina Ulfah Anggraeni, Firdha Kusuma Ayu Anis Budi Rizkiyati Annisa Febriana Sukma Annisa Tri Rahmawati Annisa Tri Rahmawati Arina Wardha Arini Latifa Arita Fajar Damasari Atika Yulandari Aulia Riski Pratikha Aulia Wulansari Agustin Ayu Fajarotul Maghfiroh Badriyah Badriyah Badriyah Bagus Hadi Saputra Berliana Cahya Tharistya Bunga Aurel Savana Chilwatun Nasiroh Chilwatun Nasiroh Chintya Rahmawati Zuhri D. Dafik Deby Amelia Putri Desi Dwi Tungga Tristanti Destya Dwi Damayanti Devi Nanda Efendi Devi Nanda Efendi Dewi Liesnoor Setyowati Dewi Rohmatul Izzati Dewi Syarah Syahiddah Diah Pratiwi Dian Bakhtiar Diana Kamalia Didit Prasetyo Dina Mahartika Dinda Aulia Mardani Dinda Maulidhatul Rahma Dini Febrianti Dini Frihanderi Aprita Dwi Pangesti Dyah Arum Arimurti Efi Novitasari Eka Citra Rahayu Eka Citra Rahayu Elma Tri Istighfarini Elma Tri Istighfarini Elok Yieldsihas Faiqoh Emma Berliana Pujiningtyas Endah Catur Kusumastuti Era Dwi Nurvita Erika Divian Chandani ERNAWATI " Eryna Dwicahyaning Krisnawanto Esa Ria Permata Hati Etika Farittanti Eviana Imaniarti Evie Rahmawati Eza Bintang Ramadhan Eza Bintang Ramadhan Fadia Arisma Iswardani Faizzatul Ummah Faizzatul Ummah Fani Aldilah Rosyadi Faridatul Isti’anah Faridatul Munawaroh Febrianti Utami Ferdi Ahmad Dani Ferdi Ahmad Dani Ferdi Yusril Hikam Suharsono Ferdi Yusril Hikam Suharsono Fidia Alhikmah Putri Fikri Hidayat Firda Kusuma Ayu Anggraeni Fitria Rizqiatus Syafa'ah Fitriana Novitasari Frety Lutviana Saputri Futiharrohmah - Gita Maria Sihombing Habib Mustofa Habibah Khusna Baihaq Hairuni Indrasati Hana Mardhiana Hana Mardhiana Hanim Isti Fadah Haniyah Alivia Hikmatul Mukarromah Hikmatul Mukarromah Hildatul Zannah Himmatul Hasanah I Ketut Mahardika Ika Nurkhasanah Ike Kumala Sari Ike Lusi Meilina Ilmi Ariyanti Imam Yahya Indah Selviandri Indrawati Indrawati Intan Rania Febrianti Ismanto Ismanto Jatu Ridwan Pamungkas Julfa Salfini Fivturia Junaida Junaida Kamilatul Imaniyah Kendid Mahmudi Kevin Cahya A.U Khantika Andriani Kharisma Suci Wulandari Kharismawati, Indah Kiki Dinda Octari Lailatul Izzah Lailatul Nur Aini Lailatul Nuraini Lailatul Nuraini Laili Mei Ari Putri Lenny Puspitasari Lia Sandra Parwatiningsih Lia Silvira Lubna Lubna Lubna Lubna Luluk Il Mukarromah Lupita Rahayu Lutfiah Hafifatul Jannah M Rafi Nurlyan M. Rizki Febrian Mah Citra Yunia Artika Putri Maryani Maryani Maryani . Maryani Maryani Maryani Maryani Maryani Maryani Masnah Datoh May Yani br Sembiring Maydini Eka Rizki Meidia Sariyatun Nisak Merry Khanza Kusuma Wardhany Mita Dwi Agustin Mohammad Abdu Azis Mohammad Fathorrosi Mohammad Fathorrosi Mokhamad Natsir Muhamad Sukron Makmun Muhammad Ivan Syahdilla Muhammad Najih Hamdi Muhammad Najih Hamdi Muhammad Naufal Ariiq Mukhammad Irwansyah Musa’adatul Rizkiyah Myco Hersandi Nabila Ayu Rosyidah Nadhifatun Nadhifatun Nadiah Putri Anggraeni Nafiista Barkania Ayu Benani Nanda Salsabila Ayu Nanny Roedjinandari Nanny Roedjinandari Nidya Nur Mashitoh Nila Mutia Dewi Nila Rayi Puspitasari Nila Rayi Puspitasari Nilam Cahya Kusumaningtyas Ninuk Eka Awitaningsih Nischaya Hayu Pangestuti Nispul Laili Nisrina Nafisah Niswatul Kariimah Nova Romadhon Novie Damayanti Rachman Novita Bekti Haryo Putri Novita Risna Sari Nur Istiqomah Nur Izzati Ramandani Nur Windasari Nur ‘ Aini Nurhasanah Nurhasanah Nurul Daviq Kaunain Nurul Faridah Nurul Irfan Nurul Yunda Nanik Purwanti Poppy Yasvin Kusumaning Fitri Pramudya Dwi Aristya Putra Prastowo, Sri Handono Budi Pretty Shintyaningrum Puput Aprilia Eka Sari Putri Indah Ramadhani Rafidatul Anisa Rany Angeline Yulianto Ratih Wahyudianti Ratna Indra Sari Rayendra Wahyu Rayendra Wahyu B. Rayendra Wahyu Bachtiar Rayendra Wahyu Bachtiar Rema Yuszahra Rendy Setiawan Ria Inayatush Shofiah Rif’ati Dina Handayani Rif’ati Dina Handayani Rike Dwi Wulandari Riscy Dewi Ramadani Riska Uswatun Khasanah Rosita Dwi Utami Rovilla El Maghviroh Sabrina Kaneishia Safina Aulia Sani Sakti Kalisa Sefanda Sakti Kalisa Sefanda Salfa Zahroh Ahadah Salskhul Haulah Sandra Aprilia Putri Sayyidatun Najah Selamet Selamet Septania Nur Farida Shinta Nuriyah Mahbubiyah Royani Shinta Nuriyah Mahbubiyah Royani Shodiqoh Qurniawan Silvilia Wahyu Kurnia Putri Singgih Bektiarso Sisca Linda Prahesti Sisilia Nur Hikmah Anggraeni Sisilia Nur Hikmah Anggraeni Sisilia Nur Hikmah Anggraeni Anggraeni Siti Hindun Hindiyati Siti Nur Afitah Sofia Ratnaningsih Sofwatul Faizah Sri Apriliyani Sri Astutik Sri Ayu Lestari Sri Wahyuni Sri Wahyuni Sri Yuliastutik Subiki Subiki Sudarti . Supeno Sutaro Sutarto Sutarto Sutarto Sutarto Sutarto Syaihun Atiq L.R Syamsuri Syamsuri Syamsuri Syamsuri Tamara Pingki Teguh Wijayanto Tika Widiya Ningrum Trapsilo Prihandono Trias Rizqi Febrianti Ulfa Mazidah Ulul Azmi Putri Ulvia Khoirunisa Bisanti Ummi Zahrotul Ainiyah Ummi Zahrotul Ainiyah Vandaria Dewi Cahyani Viki Nurbaiti Muswahida Wahyu Achmad Saheb Wendy Indra Kristiawan Widari Kusuma Widari Kusuma Widya Nur Imami Wildatul Firdausyiah Windy Ayu Riyanti Yoga Agung Kusuma Yushardi Yushardi Yushardi Zainul As'adi Zainur Rasyid Ridlo Zhahrotun Nurroniah Zilfiyatul Makida Zulva Nurhayati