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Robust Small Area Estimation untuk Model Campuran Semiparametrik dengan Approksimasi P-Spline Murtinasari, Frida
Prosiding Seminar Matematika dan Pendidikan Matematik Vol 1, No 1 (2014): Prosiding Seminar Nasional Matematika 2014
Publisher : Prosiding Seminar Matematika dan Pendidikan Matematik

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

Abstract

Small Area Estimation merupakan tehnik pendugaan area kecil dengan menggunakan data pada domain yang besar. Untuk memperoleh cukup informasi dan mendapatkan nilai keragaman yang kecil, maka dibutuhkan peubah penjelas sebagai penunjang. Salah satu metode pendugaan parameter yang digunakan dalam Small Area Estimation adalah Empirical Best Unbiased Linear. Metode pendekatan EBLUP pada penelitian terdahulu digunakan pada unit level model.  Pada unit level model diasumsikan bahwa penduga langsung memiliki hubungan yang linier dengan peubah penyertanya. Selain itu, EBLUP unit level model ini hanya  berlaku dengan baik pada data yang diasumsikan normal dan tidak memiliki outlier. Akan tetapi tidak semua data memiliki asumsi yang normal maupun memiliki hubungan yang linier antar variabelnya. Oleh karena itu dibutuhkan sebuah pendekatan untuk Small Area Estimation dengan data yang tidak linier dan memiliki outlier. Penelitian ini mengembangkan Robust Small Area Estimation dengan menggunakan pendekatan model campuran semiparametrik dan approksimasi P-Spline untuk menduga rata-ratanya.
Robust Small Area Estimation untuk Model Campuran Semiparametrik dengan Approksimasi P-Spline Murtinasari, Frida
Prosiding Seminar Matematika dan Pendidikan Matematik Vol 1 No 1 (2014): Prosiding Seminar Nasional Matematika 2014
Publisher : Prosiding Seminar Matematika dan Pendidikan Matematik

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

Abstract

Small Area Estimation merupakan tehnik pendugaan area kecil dengan menggunakan data pada domain yang besar. Untuk memperoleh cukup informasi dan mendapatkan nilai keragaman yang kecil, maka dibutuhkan peubah penjelas sebagai penunjang. Salah satu metode pendugaan parameter yang digunakan dalam Small Area Estimation adalah Empirical Best Unbiased Linear. Metode pendekatan EBLUP pada penelitian terdahulu digunakan pada unit level model.  Pada unit level model diasumsikan bahwa penduga langsung memiliki hubungan yang linier dengan peubah penyertanya. Selain itu, EBLUP unit level model ini hanya  berlaku dengan baik pada data yang diasumsikan normal dan tidak memiliki outlier. Akan tetapi tidak semua data memiliki asumsi yang normal maupun memiliki hubungan yang linier antar variabelnya. Oleh karena itu dibutuhkan sebuah pendekatan untuk Small Area Estimation dengan data yang tidak linier dan memiliki outlier. Penelitian ini mengembangkan Robust Small Area Estimation dengan menggunakan pendekatan model campuran semiparametrik dan approksimasi P-Spline untuk menduga rata-ratanya.
Differences of Visual, Auditorial, Kinesthetic Students in Understanding Mathematics Problems Sulisawati, Dwi Noviani; Lutfiyah, Lutfiyah; Murtinasari, Frida; Sukma, Luzainiatus
Malikussaleh Journal of Mathematics Learning (MJML) Vol 2, No 2 (2019): October
Publisher : Universitas Malikussaleh, Aceh Utara, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29103/mjml.v2i2.1385

Abstract

Characteristics of students who are diverse, such as different learning styles will also lead to the possibility of differences in students' ability to understand the learning material and every problem given, especially at the stage of understanding the problem given, because this stage is the most important step to determine the next problem-solving step. Therefore this study aims to reveal and illustrate how different characteristics of visual, audio and kinesthetic students in understanding problems. Data retrieval was done in class VIII of Arjasa 1 Junior High School with test methods, interviews, and questionnaires. Data were analyzed through stages of data reduction, analysis, and decision making. Furthermore, based on the data analysis that has been done, it can be concluded that there are differences in the characteristics of understanding problems for visual, auditory and kinesthetic students in terms of completeness and regularity of information writing, quantity of repetition of reading questions, marking important information and activity/movement habits done during the process of understanding the problem.
Identification of Dyscalculia in Children Special Needs for the Impaired Knowing Numbers Nanda, Anggraeni Shafria Mega; Lutfiyah, Lutfiyah; Murtinasari, Frida
Journal of Education and Learning Mathematics Research (JELMaR) Vol 4 No 2 (2023): November 2023
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Wisnuwardhana University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37303/jelmar.v4i2.110

Abstract

This study aims to identify and describe the difficulties in learning mathematics or dyscalculia experienced by children with special needs with disabilities in learning mathematics the subject of knowing numbers. The type of research used in this research is descriptive research with a qualitative approach. Research instruments include observation, tests, and interviews. The results obtained were that the S1 subject experienced the characteristics of dyscalculia which included difficulties in language and reading, abnormalities in visual perception disorders, perseveration, and disturbances in body perception. While subject S2 experienced the characteristics of dyscalculia, namely language and reading difficulties. This study concludes that S1 and S2 subjects were identified as having dyscalculia.
Pengembangan Lembar Kerja Peserta Didik (Lkpd) Berbasis Etnomatematika: Pengembangan Fitriana, Eva; Dwi Putra, Erik; Murtinasari, Frida
Jurnal Axioma : Jurnal Matematika dan Pembelajaran Vol. 9 No. 1 (2024): Januari
Publisher : Universitas Islam Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56013/axi.v9i1.2299

Abstract

The research aims to develop ethnomathematics-based LKPD. Based on the needs of students they can increase their interest in learning, influencing ability, understanding, and curiosity. This research is the research and development of the 4D model, namely define, design, develop, and disseminate (distribution) consisting of validity, practicality, and effectiveness. The instruments used were (1) approval/validation sheets, (2) perceptions of the implementation of LKPD in learning, (3) student response questionnaires, and (4) learning completion tests. The LKPD received a score from media validation of 4.2 and a score from material validation of 4.4 so it met the valid criteria. In the practicality category, the LKPD is declared practical because it meets the value with an average score of 4.3 in the very practical category. The effectiveness of the LKPD was obtained from the student response questionnaire assessment with an average score of 4.8 in the good category. So that the LKPD is declared effective, the ethnomathematics-based LKPD is declared feasible and can be used in learning. Keywords: student worksheets, ethnomathematics
PENINGKATAN KEMAMPUAN PEMAHAMAN KONSEP OPERASI ALJABAR ANAK SPECTRUM AUTIS DENGAN MEDIA VIDEO INTERAKTIF SUCIATI, DWI WAHYU; Panglipur, Indah Rahayu; Murtinasari, Frida
At- Ta'lim : Jurnal Pendidikan Vol. 10 No. 1 (2024): January
Publisher : LP3M Universitas Islam Zainul Hasan Genggong

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55210/attalim.v10i1.1449

Abstract

The objective of this study is to enhance the algebraic skills of children on the autism spectrum by employing interactive media. This research introduces a novel approach aimed at boosting the capabilities of children with autism spectrum disorder through the utilization of interactive video media. The study was conducted directly on a 14-year-old child identified as AK, who is in the sixth grade of elementary school and has autism spectrum disorder. Data for this research was gathered through interviews, observations, and documentation methods. The findings of the research indicated a notably limited grasp of algebraic operations concepts among children on the autism spectrum. The underlying cause for this limited understanding was found to be is because appropriate learning media is needed for learning. Subject AK, who is a child on the autism spectrum, experienced an increase in his ability to understand concepts in algebraic operations using interactive video media. Improvement is shown in response, activity, and being able to interact well. This interactive video media was specially created to suit the needs and conditions of AK's initial knowledge of algebraic operations. A follow-up recommendation that can be carried out is to conduct development research on interactive video media specifically for children on the autism spectrum.
Identifying the use of artificial intelligence in math learning based on learning outcomes Efendi, Moh. Anang; Panglipur, Indah Rahayu; Murtinasari, Frida
At- Ta'lim : Jurnal Pendidikan Vol. 10 No. 2 (2024): June
Publisher : LP3M Universitas Islam Zainul Hasan Genggong

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55210/attalim.v10i2.1689

Abstract

In an era of rapidly developing technology, the need to simplify and improve the learning process of mathematics is increasingly urgent. One emerging solution is the utilization of Artificial Intelligence (AI) in mathematics education. AI provides learning content that is tailored to students' needs, creating a relevant and engaging learning experience. An understanding of AI and the ability to interact with technology is important, helping students face the challenges of the digital age. Understanding math concepts is the foundation for logical thinking, problem solving and critical thinking. Research shows that some students do not fully understand mathematical concepts. Therefore, this study aims to identify the impact of using AI in mathematics learning on student learning outcomes. The preliminary study data showed the prevalence of AI use in mathematics learning. The results show a very strong positive correlation between the use of AI and mathematics learning outcomes, where student learning activities observed during learning using AI (Artificial Intelligence) based on observation sheets include several indicators, with the following results: 1) Visual indicators of 88%, 2) Listening indicators of 84%, 3) Oral indicators of 72.5%, and 4) Mental indicators of 84.5%. The results showed that learning activities were in the high category with a percentage of 82.25%. This shows that during learning activities, there is a good stimulus for students.
Simple House Needs in Jember with Robust Small Area Estimation Murtinasari, Frida; Hadi, Alfian Futuhul; Anggraeni, Dian
Jurnal ILMU DASAR Vol 18 No 1 (2017)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (694.747 KB) | DOI: 10.19184/jid.v18i1.3159

Abstract

SAE (Small Area Estimation) is often used by researchers, especially statisticians to estimate parameters of a subpopulation which has a small sample size. Empirical Best Linear Unbiased Prediction (EBLUP) is one of the indirect estimation methods in Small Area Estimation. The presence of outliers in the data can not guarantee that these methods yield precise predictions . Robust regression is one approach that is used in the model Small Area Estimation. Robust approach in estimating such a small area known as the Robust Small Area Estimation. Robust Small Area Estimation divided into several approaches. It calls Maximum Likelihood and M- Estimation. From the result, Robust Small Area Estimation with M-Estimation has the smallest RMSE than others. The value is 1473.7 (with outliers) and 1279.6 (without outlier). In addition the research also indicated that REBLUP with M-Estimation more robust to outliers. It causes the RMSE value with EBLUP has five times to be large with only one outlier are included in the data analysis. As for the REBLUP method is relatively more stable RMSE results.
Pengaruh Pembelajaran Berbasis Etnomatematika Pada Permainan Gobak Sodor Untuk Meningkatkan Pemahaman Matematis Siswa Varadita, Zeynab; Anas, Aswar; Murtinasari, Frida
Jurnal Axioma : Jurnal Matematika dan Pembelajaran Vol. 10 No. 1 (2025): Januari
Publisher : Universitas Islam Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56013/axi.v10i1.3170

Abstract

This research aims to determine the effect of ethnomathematics-based learning on the game Gobak Sodor to improve students' mathematical understanding. Gobak Sodor is a traditional game that is a cultural heritage from our ancestors and needs to be preserved. Gobak Sodor is a very popular traditional Indonesian game that requires good strategy, dexterity, and cooperation in a rectangular arena lined with chalk lines. This game combines elements of dexterity, strategy, and teamwork. This type of research is quasi-experimental with a quantitative approach. Class VII-A is an experimental class that uses an ethnomathematics-based learning model with the gobak sodor game, and class VII-B is a control class that uses a direct learning model. Research data was obtained through a test in the form of five questions describing mathematical understanding. Based on the results of research using an independent sample test, a significance value of 0.001 was obtained, which is smaller than 0.05. Based on this decision, H0 was rejected, which shows that there is a difference in students' mathematical understanding between the experimental class, which applies ethnomathematics-based learning with the gobak sodor game, and the control class, which uses conventional learning. These results indicate that there is a positive influence of ethnomathematics-based learning with the gobak sodor game on improving students' mathematical understanding. Keywords: Ethnomathematics, Gobak Sodor, Mathematical Understanding
Absorption Ability Of Inclusion School Students In Number Counting Operations Sakdiyah, Ismi Halimatus; Murtinasari, Frida
Mahir : Jurnal Ilmu Pendidikan dan Pembelajaran Vol 2 No 3 (2023): Mahir : Jurnal Ilmu Pendidikan dan Pembelajaran
Publisher : Yana Research

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58432/mahir.v2i3.1020

Abstract

The aim of this research is to determine the absorption capacity of Jember TPA Inclusion Middle School students after being given additional lesson hours on number counting operations material. This type of research is qualitative with a descriptive approach. The research subjects were students in classes V11, V11 and 1X of Jember TPA Inclusion Middle School. The instruments used were field notes, tests of students' ability to absorb number calculation operations and interviews. The results obtained were student absorption capacity of 67% and classical completion 35%, because classical completeness is lower than the absorption capacity, classically it is said to be incomplete, meaning that you have to repeat the previous KD even though there are several students who have completed it, so it can be said that the students' absorption capacity in number counting operations is said to be very low.