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Analysis of Procedural Errors in Arithmetic Problem Solving Through Polya Steps Maulida, Dini Wardani; Mahmudah, Mutiara Hisda; Hidayati, Miftachul; Hidayati, Yulia Maftuhah
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 1 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i1.846

Abstract

Difficulty is the cause of errors, math errors refer to actions or results that do not follow the correct steps or procedures in solving math problems. Therefore, the purpose of this study is to describe procedural errors in solving social arithmetic problems using Polya's steps. In this context, procedural errors refer to mistakes made by students while following the systematic steps recommended by Polya, which include understanding the problem, planning a solution strategy, carrying out the plan, and reviewing the results. This study aims to identify where and how errors occur at each of these stages, as well as to provide a deeper understanding of the challenges faced by students in solving social arithmetic problems. This research used a qualitative approach with a case study design. The participants of this study were 22 students of class VII of State Junior High School 3 Satu Atap Tawangharjo. Data validity uses triangulation of methods, namely through interviews and observations, and source triangulation. Data analysis technique with the flow method of the Miles and Huberman model. The study found that students experienced errors at each stage of Polya's steps. The percentage of student errors at each step is as follows: 20% in the understanding the problem step, 30% in the devising a plan step, 35% in the carrying out the plan step, and 15% in the looking back step. Three students were selected as samples, S-1, S-2, and S-3, each showing errors at different stages. S-1 made errors in understanding the problem and devising a plan, S-2 in devising a plan and carrying out the plan, while S-3 made errors in carrying out the plan and looking back. This research will describe the problem-solving errors experienced by students based on each Polya step they perform.
Implementation of GeoGebra-based LMS canvas on conceptual understanding of geometry transformation of grade XI students Santosa, Yoga Tegar; Maulida, Dini Wardani; Murtiyasa, Budi
AKSIOMA : Jurnal Matematika dan Pendidikan Matematika Vol 16, No 1 (2025): AKSIOMA: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/aks.v16i1.21713

Abstract

One of the most important things that students must learn in mathematics is conceptual understanding skills. However, in reality, students' conceptual understanding skills is often still low. The aims of this study is to test the difference in conceptual understanding between students who use the Geogebra-based Learning Management System (LMS) Canvas and those who do not use the media. This study uses a quasi-experimental quantitative type with a pretest and posttest non-equivalent control group design. The research subjects consisted of students in grade XI MIPA 1 and MIPA 2 at one of the high schools in Boyolali, each of which amounted to 36 students. The validated mathematical conceptual understanding skill test is applied as a research instrument. Descriptive and inferential statistics are used in data analysis. The results showed that there was a significant difference in student's conceptual understanding skills in the experimental and control classes.  In addition, the results showed that compared to the control group, the experimental group had superior conceptual understanding skills. This is shown by the median and mean rank of students' posttest scores in experimental class (median = 80; mean rank = 51.25), higher than in control class (median = 46; mean rank = 21.75).
PROBLEM-SOLVING ABILITY IN REALISTIC MATHEMATICS EDUCATION BASED ON HYPOTHETICAL LEARNING TRAJECTORY Maulida, Dini Wardani; Mahmudah, Mutiara Hisda; Hidayati, Miftachul; Setyaningsih, Nining; Sutarni, Sri
JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Vol 11, No 1 (2025)
Publisher : Universitas Bhinneka PGRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29100/jp2m.v11i1.7124

Abstract

Problem-solving ability is one of the essential learning characteristics in 21st-century skills, which requires students to think critically during the problem-solving process. Thus, the purpose of this study was to describe students' problem-solving skills in HLT-based RME learning. This research used a qualitative method with a case study design. The research was implemented in SMP Negeri 3 Satu Atap Tawangharjo. The research subjects were the principal, math subject teacher, and seventh-grade students. Data validity used triangulation of methods and sources. Data analysis technique with flow method. The results showed that some students had high, medium, and low mathematical problem-solving abilities in solving math problems. In conclusion, students' problem-solving ability in HLT-based RME learning has a high percentage. The percentage of students with high problem-solving ability is 75%, those with moderate problem-solving ability make up 15%, and those with low problem-solving ability account for 10%. Thus, students who were able to solve problems in HLT-based RME learning were more than students who were not able to solve problems in HLT-based RME learning.
Comparative analysis of first-order linear differential equations and arithmetic methods in projecting Surakarta City's population Santosa, Yoga Tegar; Maulida, Dini Wardani; Sukowati, Berliani Ardelia; Mahmudah, Mutiara Hisda
Journal Focus Action of Research Mathematic (Factor M) Vol. 8 No. 1 (2025): Vol. 8 No. 1 (2025)
Publisher : Universitas Islam Negeri (UIN) Syekh Wasil Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30762/f_m.v8i1.5026

Abstract

Population estimates are needed to project future populations, allowing for preparation in facing the possible impacts of population growth. This study aims to find a general formula or formula for the first-order linear differential equation and the arithmetic method based on the average value of the error of both, in projecting the population in Surakarta City in the future, and to determine the method that has a higher level of accuracy. This study is included in the category of descriptive research with a quantitative approach. Data were collected through literature studies and documentation of the population in Surakarta City from 2016 to 2024. Meanwhile, data analysis was carried out using quantitative descriptive analysis and comparative analysis. The study results show that the formula obtained for the first-order linear differential equation method is N(t)=562801 exp(0.0071997706t. While the formula obtained for the arithmetic method is Pt = 562801 (1+0.007357544t). From the comparison of the two methods, the arithmetic method is proven to be more accurate because it has a smaller average error (MAPE-based) than the first-order linear differential equation method.  These results can provide insight into the best methods for estimating population growth as the basis for population policy planning and regional development.
ETNOMATEMATIKA DAN PELESTARIAN BUDAYA BATIK: SEBUAH STUDI KUALITATIF-ETNOGRAFIS TENTANG KONSEP MATEMATIKA DALAM BATIK CEPLOK KASATRIAN Santosa, Yoga Tegar; Maulida, Dini Wardani; Irmanopaliza, Ade; Ishartono, Naufal
Symmetry: Pasundan Journal of Research in Mathematics Learning and Education Vol. 10 No. 1 (2025): Symmetry: Pasundan Journal of Research in Mathematics Learning and Education
Publisher : Mathematics Education Study Program, FKIP, Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/symmetry.v10i1.28298

Abstract

Batik Ceplok Kasatrian is an Indonesian cultural heritage that is full of philosophical meaning but is less known by the younger generation. Therefore, the integration of batik in mathematics learning can be one of the strategies to preserve tradition of batik culture. This research aims to explore mathematical concepts, such as geometry, algebra, arithmetic, and statistics, in Batik Ceplok Kasatrian motifs. This research uses qualitative-ethnographic. The subject of this study is the Batik Ceplok Kasatrian motif. Data validity is obtained through source triangulation, while data analysis includes reduction, presentation, and conclusion. The exploration process is carried out by answering four main questions: "Where do I begin exploring?", "How can I discover it?", "How will I know if it has discovered something important?", and "How can I make sense of it?". The results show that of the four mathematical concepts, only two mathematical concepts are found in this batik, namely geometry and arithmetic. Geometry subconcepts include transformation (reflection, translation, dilation) and plane geometry (line segments, symmetry, congruence). Arithmetic subconcept includes integers (odd-even numbers). These findings can be integrated into mathematics learning through the development of ethnomathematics-based assessments oriented towards High Order Thinking Skills.
EFEKTIVITAS MULTIMEDIA BANGUN RUANG MENGGUNAKAN ARTICULATE STORYLINE BERBASIS TEORI EKSPERIENSIALISME TERHADAP HASIL BELAJAR DAN RETENSI MEMORI SISWA Santosa, Yoga Tegar; Maulida, Dini Wardani; Murtiyasa, Budi
MaPan : Jurnal Matematika dan Pembelajaran Vol 13 No 1 (2025): JUNE
Publisher : Department of Mathematics Education Faculty of Tarbiyah and Teacher Training Universitas Islam Negeri Alauddin Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24252/mapan.2025v13n1a3

Abstract

Learning outcomes and memory retention play a crucial role in mathematical learning. However, many students still show low learning outcomes and memory retention, especially in the polyhedron topics. The objective of this study is to examine the effectiveness of multimedia based on Articulate Storyline, oriented to the experientialism theory, student learning outcomes, and memory retention. The study uses a quantitative approach with a quasi-experimental design of the pretest and posttest non-equivalent control group types. The research population is all grade VIII students in one of the Middle schools in Wonosobo Regency. A total of 32 students from class VIII B were assigned as the experimental group, while 32 students from class VIII C served as the control group. The data collection instruments consisted of multiple-choice tests to measure students' learning outcomes and essays to measure students' memory retention. Both have been tested for validity and reliability. Data analysis involved the use of inferential and descriptive statistics. The findings revealed that the learning achievements of students in the experimental group were significantly higher than those in the control group. Additionally, the memory retention of students in the experimental group was also superior to that of the control group. These results provide valuable insights for educators and instructional media developers in creating meaningful learning experiences to enhance students' understanding and memory retention. Abstrak: Hasil belajar dan retensi memori berperan penting dalam pembelajaran matematika. Namun, banyak siswa masih menunjukkan hasil belajar dan retensi memori yang rendah, khususnya pada topik bangun ruang sisi datar. Penelitian ini bertujuan menguji efektivitas multimedia berbasis Articulate Storyline yang berorientasi pada teori eksperiensialisme terhadap hasil belajar dan retensi memori siswa. Penelitian menggunakan pendekatan kuantitatif dengan desain quasi-experimental tipe pretest and posttest non-equivalent control group. Populasi penelitian adalah seluruh siswa kelas VIII di salah satu SMP Negeri di Kabupaten Wonosobo. Sampel terdiri dari 32 siswa kelas VIII B sebagai kelas eksperimen dan 32 siswa kelas VIII C sebagai kelas kontrol. Instrumen pengumpulan data terdiri dari tes pilihan ganda untuk mengukur hasil belajar siswa dan uraian untuk mengukur retensi memori siswa. Keduanya telah diuji validitas dan reliabilitasnnya. Analisis data dilakukan dengan statistik inferensial dan deskriptif. Hasil penelitian menunjukkan bahwa hasil belajar siswa kelas eksperimen lebih tinggi dibandingkan kelas kontrol. Retensi memori siswa kelas eksperimen juga lebih baik dibandingkan kelas kontrol. Temuan ini memberikan implikasi bagi pendidik dan pengembang media pembelajaran dalam merancang pengalaman belajar yang bermakna untuk meningkatkan pemahaman dan daya ingat siswa.
Mathematics for Life: Community Service through Realistic Mathematics Education at SMP Muhammadiyah 1 Kartasura Santosa, Yoga Tegar; Setyaningsih, Nining; Mahmudah, Mutiara Hisda; Sukowati, Berliani Ardelia; Maulida, Dini Wardani; Wibowo, Eko Ari
Jurnal Pengabdian UNDIKMA Vol. 6 No. 3 (2025): August
Publisher : LPPM Universitas Pendidikan Mandalika (UNDIKMA)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/jpu.v6i3.16721

Abstract

This community service program aims to implement RME in secondary school mathematics, develop RME-based worksheets, assess its impact on students' outcomes, and explore teachers' and students' responses. The participants involved were students from a combined class of Grade VIII Tahfidz and Regular tracks. The activity was carried out using a Participatory Action Research model. Data were collected through questionnaires, mathematics tests, observations, interviews, and documentation. A paired sample t-test was employed to analyze the data and determine whether there was a significant difference in students’ learning outcomes prior to and following the implementation of RME. The community service results indicated that the implementation of RME successfully enhanced student engagement and understanding in mathematics learning. Statistical analysis showed a significant difference between students’ scores before and after the RME-based instruction, with the average score increasing from 46.36 to 62.44. Questionnaire responses revealed that students positively perceived the RME-based learning, particularly in terms of engagement, conceptual clarity, and meaningful learning experiences. Teachers also expressed that the RME approach provided new perspectives for delivering mathematics more contextually and engagingly, and showed interest in applying it to other mathematical topics. These findings imply that the RME approach has the potential to be sustainably integrated into broader mathematics learning through continued collaboration and material development.
Evaluating the Quality of Mid-Semester Mathematics Summative Assessment in Secondary School: A Psychometric Analysis of Test Items Santosa, Yoga Tegar; Maulida, Dini Wardani; Ferdianto, Juli; Sutarni, Sri; Hidayati, Yulia Maftuhah
IJECA (International Journal of Education and Curriculum Application) Vol 8, No 3 (2025): December
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/ijeca.v8i3.36276

Abstract

Mid-semester summative assessments play a crucial role in supporting competency-based learning in the Kurikulum Merdeka. However, existing studies and field practices indicate a persistent gap: teachers rarely conduct systematic psychometric evaluations. Addressing this gap, this study aims to (1) analyze the structure and characteristics of a mid-semester mathematics summative assessment and (2) evaluate the quality of its items based on psychometric criteria within the framework of CTT. Using a mixed-methods sequential exploratory design, data were obtained from two mathematics education experts, two mathematics teachers, and a school principal in an Islamic Integrated Secondary School in Sukoharjo Regency. Data sources included interview transcripts, assessment documents, students’ response sheets, and expert validation forms. Qualitative data were analyzed through data reduction, display, and conclusion drawing, while quantitative data were examined using Aiken’s V and CTT. The findings reveal that the assessment consisted of 40 multiple-choice items and 5 essay questions, covering Number and Algebra elements of Phase D in the Merdeka Curriculum. The items' content validity was moderate, with strengths in language but weaknesses in cognitive level alignment. Empirical results showed some multiple-choice items were invalid, while all essay questions were valid and reliable (r = 0.88). Most items were moderately difficult, with a discrimination index from fair to excellent (0.3 ≤ D ≤ 0.8). However, nearly one-third of distractors in the multiple-choice items did not function well. These results highlight the need for improved item construction and teacher capacity-building to ensure assessments that align with the principles of the Kurikulum Merdeka and support high-quality measurement of student competency.