Articles
Teori Titik Tetap untuk Pemetaan (ψ,φ)_Ω-Kontraksi pada Ruang p-Metrik Modular Berorder
Hayati, Afifah;
Harini, Lusi;
Winarni, Ambar;
Muhassanah, Nur'aini
PYTHAGORAS Jurnal Matematika dan Pendidikan Matematika Vol. 17 No. 2: December 2022
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY
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DOI: 10.21831/pythagoras.v17i2.52985
Penelitian ini bertujuan untuk memberikan definisi pemetaan (psi,varphi)_omega-kontraksi dalam ruang p-metrik modular, memberikan teorema titik tetap untuk pemetaan -kontraksi pada ruang p-metrik modular, dan memberikan aplikasi dari teorema titik tetap tersebut. Penelitian ini dilakukan dengan memperumum definisi pemetaan (psi,varphi)_omega-kontraksi dalam ruang p-metrik dan teorema titik tetapnya ke dalam ruang p-metrik modular. Hasil penelitian menunjukkan bahwa pemetaan (psi,varphi)_omega-kontraksi dapat didefinisikan dalam ruang p-metrik modular dan teorema titik tetap untuk pemetaan tersebut pada ruang p-metrik modular dapat diberikan dengan penambahan beberapa sifat yang diasumsikan. Selain itu, hasil penelitian lainnya adalah aplikasi teorema titik tetap tersebut yang menjamin eksistensi solusi suatu persamaan integral yang juga merupakan perumuman dari aplikasi teorema titik tetap tersebut dalam ruang p-metrik. Dari hasil tersebut, dapat disimpulkan bahwa pemetaan (psi,varphi)_omega-kontraksi dapat didefinisikan dalam ruang p-metrik modular dan dapat dibuktikan teorema titik tetap untuk pemetaan (psi,varphi)_omega-kontraksi pada ruang p-metrik modular beserta aplikasi dari teorema titik tetap tersebut yang menjamin eksistensi solusi suatu persamaan integral.
Analisis Regresi Liner untuk Meramalkan Jumlah Siswa Sekolah Dasar di Cilacap
Aspriyani, Riski;
Muhassanah, Nur'aini
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2024): Jurnal Derivat (Agustus 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta
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DOI: 10.31316/jderivat.v10i2.6474
This research aims to determine a prediction model using Simple Linear Regression for time series data on the number of elementary school students in Cilacap from 2010 to 2023 and to obtain predicted results on the number of elementary school students in Cilacap for the following year. The data pattern of the number of elementary school students in Cilacap is known to have a decreasing trend. The time series data was subjected to the Durbin-Watson test to see whether there was autocorrelation. It was found that data on the number of elementary school students in Cilacap from 2010 to 2023 did not have autocorrelation with the Durbin-Watson (d) computing value of 1.385. The requirements for time series data have been met, so that forecasting analysis can be carried out using Simple Linear Regression and it is found that the regression equation is y ̂=168698.604-1600.519x. This regression equation is used to predict the value of the number of elementary school students in Cilacap for the next year. The forecasting accuracy level is 97.303% or with a MAPE error value of 2.697%, which means that the ability of the regression model to predict is very accurate. Thus, the predicted data on the number of elementary school students in Cilacap for the next period in 2024 is 144690 students. Keywords: Forecasting, Time Series, Linear Regression
Analysis of Problem Solving Ability Polya Stages of Open University Students in Mathematics Courses
Muhassanah, Nur'aini;
Winarni, Ambar
International Journal of Research in Mathematics Education Vol. 1 No. 1 (2023)
Publisher : Faculty of Tarbiya and Teacher Trainning, Universitas Islam Negeri Prof. K.H. Saifuddin Zuhri Purwokerto
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DOI: 10.24090/ijrme.v1i1.8618
This type of research is qualitative research using a descriptive approach. The purpose of this research is to describe the problem-solving skills of Polya stages in Mathematics courses. The subjects of this study were 15 semester 3 students of the Open University Elementary School Teacher Education Study Program divided into three categories of problem solving abilities, namely 6 students (40%) in the high category, 6 students (40%) in the medium category, and 3 students (20 %) low category. Data related to problem-solving abilities according to Polya's stages were obtained from diagnostic tests and interviews. Subjects were taken by purposive sampling technique and data validation using the triangulation method. Data analysis techniques used data reduction, data presentation, and drawing conclusions. The results of this study were that most students who were in the high and medium categories were able to write down what was known and asked about the questions correctly, presenting the sequence of completion steps using the right steps or procedures and get the correct results, and write conclusions without writing checks. Meanwhile, a small number of students who were in the low category incompletely wrote down what was known and asked about the questions, the sequence of solutions presented was inaccurate, wrote down the procedures or steps but were incorrect, and wrote conclusions but the answers given were incorrect.
Application of the Group Investigation (GI) Learning Model to Improve Student Learning Outcomes in the Introductory Demography Course
Muhassanah, Nur'aini;
Listiya Kartika, Dwiani
International Journal of Research in Mathematics Education Vol. 2 No. 1 (2024)
Publisher : Faculty of Tarbiya and Teacher Trainning, Universitas Islam Negeri Prof. K.H. Saifuddin Zuhri Purwokerto
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DOI: 10.24090/ijrme.v2i1.11007
The aim of this research is to apply the Group Investigation (GI) learning model to improve student learning achievement in the Introduction to Demography course. This is done because student learning outcomes are not optimal and lectures are still conventional. This research was conducted in February – April 2024. This type of research is classroom action research which consists of 2 cycles, where each cycle has 4 stages, namely: planning, implementation, observation and reflection. This research was conducted on 13 students in the 4th semester of the mathematics study program for the 2023/2024 academic year who took the Introduction to Demography course. The data collection techniques used are tests and observations. Data was taken from three activities, namely pre-cycle, cycle I and cycle II. The learning outcome data obtained by students at the pre-cycle stage was with an average score of 62.2 and a score above 65 reaching 53.8%, the first cycle experienced an increase with an average score of 69.2 with a score above 65 reaching 84 .6%, and cycle II obtained an average score of 79.9 and student scores above 65 reached 92.3% of students. In this research, it can be concluded that the application of the group investigation learning model can improve student learning outcomes in the Introduction to Demography course.
Implementasi Projek Penguatan Profil Pelajar Pancasila (P5) pada Kurikulum Merdeka di TPA Raudhotul Jannah
Muhassanah, Nur'aini;
Muhammad Nur Rizal;
Siti Inayah
Jurnal Tumbuh Kembang Anak Usia Dini Vol. 2 No. 1 (2024)
Publisher : Program Studi Pendidikan Islam Anak Usia Dini Fakultas Agama Islam Universitas Nahdlatul Ulama Purwokerto
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DOI: 10.60623/jtkaud.v2i1.275
The Project for Strengthening the Profile of Pancasila students is a new paradigm for the independent curriculum. In the Project for Strengthening the Pancasila Student Profile (P5), there are several dimensions that are important to pay attention to. These dimensions include aspects of character that must be considered in an effort to strengthen students' understanding and practice of Pancasila values. The first dimension of character is Faith and Piety, Independence, Collaboration, Global Diversity, Critical Reasoning and Creative. Character education should start from an early age. This research aims to determine the implementation of the Pancasila Student Profile Strengthening Project (P5) and the impact of its implementation on the six dimensions of student profile character in PAUD. The research method used is a qualitative case study type with data collection techniques using observation, interviews and documentation. The research results show that the implementation of P5 at the TPA Raodhatul Jannah has been carried out with the theme "I Love Indonesia". Each theme implemented goes through the stages of initiation, development and conclusion. In general, starting from planning, implementing and concluding the project went smoothly and had a positive impact on the three dimensions of the project to strengthen the profile of Pancasila students, namely global diversity, mutual cooperation and creativity. Thus, the project to strengthen the profile of Pancasila students can familiarize students with the dimensions of child character. from an early age and can be one solution in producing a generation of Indonesians with character.
Hubungan Motivasi Belajar dengan Kesalahan Mahasiswa dalam Mengerjakan Soal Statistika Pendidikan Menurut Teori Newman
Muhassanah, Nur'aini;
Ambar Winarni;
Afifah Hayati
Jurnal PEKA (Pendidikan Matematika) Vol. 8 No. 2 (2025): Jurnal PEKA (Pendidikan Matematika)
Publisher : Program Studi Pendidikan Matematika Universitas Muhammadiyah Sukabumi (UMMI)
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DOI: 10.37150/jp.v8i2.3105
Motivasi belajar mahasiswa mempengaruhi hasil prestasi belajar, dimana hasil prestasi belajar berdasarkan kesalahan-kesalahan mahasiswa dalam menyelesaikan permasalahan Matematika. Penelitian ini bertujuan untuk mengnalisis hubungan motivasi belajar dengan kesalahan yang dilakukan oleh mahasiswa pada mata kuliah Statistika Pendidikan berdasarkan teori Newman. Untuk mencapai tujuan tersebut pendekatan penelitian deskriptif kualitatif – kuantitatif digunakan pada penelitian ini. Subjek penelitian ini adalah mahasiswa semester genap program studi Pendidikan Bahasa Inggris yang mengambil mata kuliah Statistik Pendidikan yang berjumlah 17 mahasiswa. Hasil penelitian, yaitu 1. Mahasiswa terbagi dalam tiga kriteria motivasi belajar, yaitu cukup baik, baik dan sangat baik; 2. Adanya hubungan yang cukup kuat antara hasil prestasi belajar dan motivasi belajar mahasiswa pada mata kuliah Statistika Pendidikan dengan nilai koefisien korelasinya yaitu 0,567; 3. Kriteria motivasi belajar mahasiswa yang banyak melakukan kesalahan masuk pada kriteria cukup baik sebanyak 47.06% masuk kategori tinggi. Sedangkan kesalahan yang paling sedikit dilakukan adalah mahasiswa dengan kriteria motivasi belajar sangat baik sebanyak 15.69% atau kategori rendah. 4. Untuk kesalahan yang paling banyak dilakukan untuk semua kriteria motivasi belajar adalah kesalahan proses (proces skill) masuk kategori cukup tinggi. Sedangkan aspek kesalahan yang paling sedikit dilakukan oleh ketiga kriteria motivasi belajar adalah kesalahan penulisan jawaban akhir (endcoding) masuk kategori sangat rendah
Experimentation of PBL and PJBL Learning Models on Junior High School Students' Mathematical Problem-Solving Ability in Driving Schools
Setiani, Ana;
Yulianti, Yulianti;
Agustiani, Nur;
Septiani, Eka;
Muhassanah, Nur'aini
PRISMA Vol 14, No 1 (2025): PRISMA
Publisher : Universitas Suryakancana
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DOI: 10.35194/jp.v14i1.4928
When preparing a lesson plan, teachers should consider their mathematical problem-solving skills because this study aims to determine the mathematical problem-solving ability of junior high school students in driving schools that use teaching modules with PBL, PJBL, and conventional learning model stages in the independent curriculum. The research method used in this study is Quasi-Experimental with a Pretest-Posttest Control Group Design research design. The population in this study is all grade VII students of SMPN 1 Bantargadung, which totals 72 students, and the sample is divided into three classes. The sampling technique used in this study is Cluster Random Sampling. The question instruments used were in the form of three questions on mathematical problem-solving skills in social arithmetic material and observation sheets. The results of the study showed that there was a difference in the problem-solving ability of junior high school students who used the PBL learning model with the PJBL learning model, and the conventional learning model of the independent curriculum, PBL learning was better compared to the PJBL learning model on the problem-solving ability of junior high school students, the traditional learning of the independent curriculum was better than the PBL learning model on the problem-solving ability of junior high school students, and conventional learning of the Independent curriculum is better than the PJBL learning model on the problem-solving ability of junior high school students.
Analysis of Elementary School Teacher Education Students' Errors in Solving Mathematical Problems Based on Newman's Theory
Muhassanah, Nur'aini;
Nurcahyono, Novi Andri
RANGE: Jurnal Pendidikan Matematika Vol. 7 No. 1 (2025): Range Juli 2025
Publisher : Pendidikan Matematika UNIMOR
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DOI: 10.32938/jpm.v7i1.9358
This study aims to describe students' errors in solving math problem solving based on Newman's theory. This research method is qualitative with a case study approach. The subjects of this study were 18 students of the Elementary School Teacher Education Study Program in the odd semester of the 2023/2024 academic year who took Mathematics courses. Data related to student errors according to Newman's theory were obtained from tests and interviews to identify the types of errors made by students, which included errors in reading, understanding, transformation, process skills, and writing the final answer. Subjects were taken using purposive sampling technique and data validation using method triangulation. Data analysis techniques used data reduction, data presentation, and conclusion drawing. The results of this study showed that the most student errors made were process errors as much as 32.97% with fairly high criteria followed by errors in writing the final answer as much as 29.67%, transformation errors as much as 27.47% which were included in the criteria quite high and the last error understanding the problem as much as 9.89% with very low criteria. Based on the results of the study, it is suggested that students should practice more independently working on problems, especially story problems. In addition, before working on the problem, students should first write down the complete information in the problem.
Analisis Regresi Liner untuk Meramalkan Jumlah Siswa Sekolah Dasar di Cilacap
Aspriyani, Riski;
Muhassanah, Nur'aini
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2024): Jurnal Derivat (Agustus 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta
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DOI: 10.31316/jderivat.v10i2.6474
This research aims to determine a prediction model using Simple Linear Regression for time series data on the number of elementary school students in Cilacap from 2010 to 2023 and to obtain predicted results on the number of elementary school students in Cilacap for the following year. The data pattern of the number of elementary school students in Cilacap is known to have a decreasing trend. The time series data was subjected to the Durbin-Watson test to see whether there was autocorrelation. It was found that data on the number of elementary school students in Cilacap from 2010 to 2023 did not have autocorrelation with the Durbin-Watson (d) computing value of 1.385. The requirements for time series data have been met, so that forecasting analysis can be carried out using Simple Linear Regression and it is found that the regression equation is y ̂=168698.604-1600.519x. This regression equation is used to predict the value of the number of elementary school students in Cilacap for the next year. The forecasting accuracy level is 97.303% or with a MAPE error value of 2.697%, which means that the ability of the regression model to predict is very accurate. Thus, the predicted data on the number of elementary school students in Cilacap for the next period in 2024 is 144690 students. Keywords: Forecasting, Time Series, Linear Regression
Hubungan Motivasi Belajar dengan Kesalahan Mahasiswa dalam Mengerjakan Soal Statistika Pendidikan Menurut Teori Newman
Muhassanah, Nur'aini;
Ambar Winarni;
Afifah Hayati
Jurnal PEKA (Pendidikan Matematika) Vol. 8 No. 2 (2025): Jurnal PEKA (Pendidikan Matematika)
Publisher : Program Studi Pendidikan Matematika Universitas Muhammadiyah Sukabumi (UMMI)
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DOI: 10.37150/jp.v8i2.3105
Motivasi belajar mahasiswa mempengaruhi hasil prestasi belajar, dimana hasil prestasi belajar berdasarkan kesalahan-kesalahan mahasiswa dalam menyelesaikan permasalahan Matematika. Penelitian ini bertujuan untuk mengnalisis hubungan motivasi belajar dengan kesalahan yang dilakukan oleh mahasiswa pada mata kuliah Statistika Pendidikan berdasarkan teori Newman. Untuk mencapai tujuan tersebut pendekatan penelitian deskriptif kualitatif – kuantitatif digunakan pada penelitian ini. Subjek penelitian ini adalah mahasiswa semester genap program studi Pendidikan Bahasa Inggris yang mengambil mata kuliah Statistik Pendidikan yang berjumlah 17 mahasiswa. Hasil penelitian, yaitu 1. Mahasiswa terbagi dalam tiga kriteria motivasi belajar, yaitu cukup baik, baik dan sangat baik; 2. Adanya hubungan yang cukup kuat antara hasil prestasi belajar dan motivasi belajar mahasiswa pada mata kuliah Statistika Pendidikan dengan nilai koefisien korelasinya yaitu 0,567; 3. Kriteria motivasi belajar mahasiswa yang banyak melakukan kesalahan masuk pada kriteria cukup baik sebanyak 47.06% masuk kategori tinggi. Sedangkan kesalahan yang paling sedikit dilakukan adalah mahasiswa dengan kriteria motivasi belajar sangat baik sebanyak 15.69% atau kategori rendah. 4. Untuk kesalahan yang paling banyak dilakukan untuk semua kriteria motivasi belajar adalah kesalahan proses (proces skill) masuk kategori cukup tinggi. Sedangkan aspek kesalahan yang paling sedikit dilakukan oleh ketiga kriteria motivasi belajar adalah kesalahan penulisan jawaban akhir (endcoding) masuk kategori sangat rendah