Bulletin of Applied Mathematics and Mathematics Education
BAMME welcomes high-quality manuscripts resulted from a research project in the scope of applied mathematics and mathematics education, which includes, but is not limited to the following topics: Analysis and applied analysis, algebra and applied algebra, logic, geometry, differential equations, dynamical system, fuzzy system, etc. Graph theory, combinatorics, number theory, coding theory, cryptography, etc. Mathematical modeling in economics, physics, biology, medicine, engineering, control theory and automation, optimization, operational research, neural network, data science, machine learning, etc. Applied statistics and probability, finance mathematics, biostatistics, actuary, etc. RME-based mathematics education. Development studies in mathematics education. Mathematics Ability, includes the following abilities: reasoning, connection, communication, representation, and problem solving. Ethnomathematics, the results of research on the relationship between mathematics and culture practiced by members of cultural groups who share experiences and practices similar to mathematics that can be in a unique form. Application of ICT in mathematical learning and the design, development, and evaluation of the implementation or application of learning media.
Articles
50 Documents
Development of the GeoGebra’s Guidebook in Creating Mathematics Learning Media Based on Ethnomathematics
Lekitoo, John Nandito;
Kurniati MA, Ratnah;
Sugiarto, Sigit;
Dahoklory, Andy Sunder Keer;
Inuhan, Michael;
Rupilele, Karolina
Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 1 (2024)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v4i1.10021
This research aims to develop a guidebook for the use of GeoGebra in creating mathematics learning media based on ethnomathematics for university students in mathematics education study program at Pattimura University PSDKU Maluku Barat Daya. The method used in this research is Research and Development (R&D) with 4D model developed by Thiagarajan et al. (1974) which consists of 4 stages, namely Define, Design, Develop and Disseminate. This method and model are very feasible and systematically supports the development of the guidebook. By involving 2 validators, namely material experts and linguists, the draft of the guidebook was then revised and tested on a small limited group. Furthermore, based on descriptive statistical analysis and qualitative descriptive analysis, it can be concluded that the reference book using GeoGebra has been successfully prepared and meets the criteria of valid and effective. In addition, the use of this guidebook can also increase students' knowledge in understanding material related to cartesian coordinates, especially in drawing graphs of linear functions, quadratic functions, polynomials, trigonometric functions, exponent functions, and logarithms.
Classification of student abilities in reducing students’ drop-out rates
Khasanah, Uswatun;
Astuti, Dwi
Bulletin of Applied Mathematics and Mathematics Education Vol. 3 No. 2 (2023)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v3i2.10040
The number of students in the mathematics education study program has declined over the past four years. Besides a few students enrolled in the first year, there are those who have had a temporary leave. These two things are necessary to identify the cause of study leave and need to analyze education data mining (EDM) to obtain a model of classification of students' abilities so that students can improve their achievement. The impact will be a decrease in the number of students undergoing the study. The subject of this study is a student of mathematics education study program from 2008 to 2018. Based on this data set, each student has information about gender, date of birth, home address, postal code, parent's name, secondary school origin, parent job, parent income cell phone number, graduation/drop-out status. The aim of the study is to identify an efficient model between a decision tree, a random forest and a neural network, based on the accuracy of 80 percent decision tree methods, 87 percent random forest methods and 78 percent neural networks.
Distribution of prime numbers Distribution of the prime numbers
Khalil, Lolav Ahmed
Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 1 (2024)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v4i1.10408
This research explores the distribution of prime numbers, which are a fundamental topic in number theory. The study originated from the author's fascination with mathematics and the desire to discover something novel. The research proposes that the distribution of prime numbers follows a regular pattern starting from the number 2. The author suggests that prime numbers can be obtained by dividing certain even numbers that have four factors by the number 2, resulting in prime numbers in sequential order. This hypothesis was tested and confirmed through the practical application of the proposed mathematical formula. Additionally, the study found that even numbers greater than or equal to 8, with six or more factors, produce complex numbers. Thus, this research provides two main contributions: firstly, a mathematical formula for the distribution of prime numbers, and secondly, a formula for the distribution of complex numbers. These findings have potential applications in various mathematical fields, including cryptography and problem-solving in number theory.
Block Programming Scratch-Based: Interactive Learning Media in the Merdeka Curriculum for Straight Line Equation Material 8th Grade Junior High School
Triayuningtiyas, Alfika;
Prasetyo, Puguh Wahyu
Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 1 (2024)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v4i1.10445
This study aims to develop and produce scratch-based interactive learning media on straight line equation material according to the valid and practical Merdeka Curriculum. This research is motivated by the need for learning media in accordance with the Merdeka Curriculum, to support the learning process on straight line equation material which is considered difficult for students. This development research using the ADDIE model and research was conducted at SMP Muhammadiyah 2 Godean. The research instruments used were interview sheets, material and media expert validation questionnaires, and student response questionnaires. The results shows that the scratch-based learning media developed by researchers were declared valid and practical. The results of the material expert assessment amounted to 95% which met the very valid category. While the media expert's assessment was 73% which met the valid category. The practicality criteria were obtained from the results of student responses to small class trials with a total of 10 students and a large class of 35 students. The small class trial obtained an average score of 87% which meet the criteria for being very practical. Meanwhile, the large class trial obtained an average score of 81% which met the criteria for being very practical.
Improving mathematical literacy: How does PBL affect the students’ performance?
Andini, Fadhila;
Siregar, Machrani Adi Putri
Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 1 (2024)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v4i1.10482
This research is motivated by the many problems that often arise during classroom learning, especially mathematics. The aim of this research is to find out how students' abilities and problems are described in learning mathematics regarding relationships and functions taught using problem-based learning models and conventional learning models. With a post-test-only control group design, this research is a quasi-experimental research. The population in this study were all class VIII students at Bahagia Medan Private Middle School. Cluster random sampling was used to select 36 participants from each of two classes (control class and experimental class). This research instrument is a test with five questions. Based on the results of data analysis, the sig value was obtained. (2-tailed) of 0.000 < 0.05. Therefore, it can be concluded that Problem Based Learning and conventional learning produce significantly different levels of mathematical literacy. The practical implication of this research is that educational practitioners, especially mathematics teachers at the junior high school level, can utilize these findings to improve their teaching. PBL can be used as a basis for designing more innovative and student-centered learning units, which can help students develop a deeper understanding of mathematical concepts and improve their ability to solve problems. Adequate support and training for teachers in implementing PBL is also important to ensure its successful implementation in the classroom.
Optimization of feature selection on semi-supervised data
Wijayanti, Dian Eka;
Afriyani, Sintia;
Surono, Sugiyarto;
Dewi, Deshinta Arrova
Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 2 (2024)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v4i1.11104
This research explores feature selection optimization in semi-supervised text data by utilizing the technique of dividing data into training and testing sets and implementing pseudo-labeling. Proportions of data division, namely 70:30, 80:20, and 90:10, were used as experiments, employing TF-IDF weighting and PSO feature selection. Pseudo-labeling was applied by assigning positive, negative, and neutral labels to the training data to enrich information in the classification model during the testing phase. The research results indicate that the linear SVM model achieved the highest accuracy with a 90:10 data division proportion with a value of 0.9051, followed by Random Forest, which had an accuracy of 0.9254. Although RBF SVM and Poly SVM yielded good results, KNN showed lower performance. These findings emphasize the importance of feature selection strategies and the use of pseudo-labeling to enhance the performance of classification models in semi-supervised text data, offering potential applications across various domains that rely on semi-supervised text analysis.
Developing problem-based learning student worksheet on matrix materials to improve students’ critical thinking skills
Khoirunisa, Zahro;
Nurnugroho, Burhanudin Arif
Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 2 (2024)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v4i2.11298
This research was conducted based on problems at MAS Taruna Al Quran Yogyakarta, that the mathematics learning still relied on a publisher generated sources which only focused on students’ understanding, but not yet targeted their middle-low critical thinking skills. It then aims to develop a problem-based learning worksheet on matrix material, which can improve students' critical thinking skills, especially on interpretation and inference indicators. The research used ADDIE development model which has five stages, including analysis, design, development, implementation, and evaluation. Finally, it successfully developed the worksheet rich of learning activities stimulating the students’ critical thinking through the syntax of problem-based learning. The media expert assessment scored 46/50 (very good) and the content expert assessment scored 100/105 (very good). The worksheet also considered practical for use, as shown by the average results of participant questionnaire response scored 84.4 (very good) in the small-scale test and scored 90.5 (very good) in the large-scale test. The developed worksheet also created a significant influence in improving the students’ critical thinking skills by an increase of 25.3%.
HOTS-oriented mathematical problem-solving ability reviewed from the students’ learning styles
Sheilawati, Kharisa Rinandyta;
Setyaningsih, Rini;
Rejeki, Sri
Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 2 (2024)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v4i2.11579
This research aims to analyze the students' mathematical problem-solving abilities in solving higher order thinking skills (HOTS) oriented mathematics problems in algebra material, particularly reviewed from their learning styles. This research used a qualitative descriptive method. The subjects of this research consisted of 6 students of Class VIII Science 4 at MTs Negeri 1 Surakarta. Data collection techniques consist of questionnaires, tests, and interviews. Data analysis techniques consist of data presentation, data reduction, and conclusion. The results of this research are the mathematical problem-solving abilities of Class VIII Science 4 students based on the visual learning style type which is the same as the auditory learning style in solving problems on linear equation system in two variable material, namely being able to carry out up to the fourth stage of Polya (understanding problems, planning, solving problems, and looking back at the process). Meanwhile, the mathematical problem-solving abilities of Class VIII Science 4 students are based on the kinesthetic learning style, namely implementing up to the third stage of Polya (understanding the problem, planning, and solving the problem).
The Tahani fuzzy logic method for detecting violence against women in North Sumatra
Nisa, Khairun;
Sari, Rina Filia
Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 2 (2024)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v4i2.11627
Violence against women is a pervasive issue in society. Violence often encompasses various forms, such as physical, psychological, economic, and sexual violence. This research employs the Tahani fuzzy logic method to predict cases of violence against women. The results of the analysis in query fuzzification indicate that there are 16 districts experiencing high number of cases of violence against women, namely: Asahan, Batu Bara, Dairi, Deli Serdang, Karo, Binjai, Gunung Sitoli, Pematang Siantar, Tanjung Balai, Labuhan Batu Utara, Labuhan Batu, Langkat, Padang Lawas Utara, and Simalungun. This research also provides recommendations based on detection results, utilizing the fire strength value as the highest-level ranking. Looking at the total 33 districts in North Sumatra, the highest level of violence against women is in Medan, which occurred from July to December 2022, where all four criteria for typical cases of violence against women are significantly high.
Comparison of continuous review system method and min-max method in soybean inventory control
Syafitri, Ellysa;
Lubis, Riri Syafitri
Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 2 (2024)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v4i2.11670
This study aims to compare the effectiveness of two inventory control methods, namely continuous review system and min-max in controlling soybean raw material inventory in tofu production. The continuous review system method is an inventory control system where raw material inventory is checked continuously while the min-max method is a method that maintains raw materials between the minimum and maximum limits. The data used are data on soybean raw material inventory and needs at the Ali Musa tofu factory in Serdang Bedagai Regency, Indonesia. Based on the results of the analysis of total inventory costs using the continuous review system method, it is IDR 418,978,693 in 2021 and IDR 430,271,763 in 2022. While the total inventory cost using the min-max method is IDR 366,272,031 in 2021 and IDR 367,964,100 in 2022. While the company uses IDR 429,321,708 in 2021 and IDR 445,381,200 in 2022. From the calculations above, the min-max method is more effective in reducing total inventory costs with infrequent ordering frequencies. Since orders are not made regularly, this strategy reduces the number of soybean orders and reduces the cost of ordering. When the reorder limit is reached, the company will place the order. The choice of inventory control method must be adjusted to the needs and operational characteristics of the company. The continuous review system method is better for companies with high and fluctuating raw material needs, while min-max can be used for companies with more stable raw material needs. The findings and the method used in this study could be beneficial for the factory to organize its inventory efficiently.