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.
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<![CDATA[The zero-sum discrete-time feedback linear quadratic dynamic game: From two-player case to multi-player case ]]>
<![CDATA[Musthofa, Muhammad Wakhid]]>;
<![CDATA[Engwerda, Jacob]]>
<![CDATA[ Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 1 (2024) ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/bamme.v4i1.9351
<![CDATA[The two-person zero-sum discrete-time feedback linear quadratic dynamic game is considered. A method that provides a saddle-point for the zero-sum discrete dynamic game is developed to derive a necessary and sufficient condition under which the game has a feedback saddle-point solution. Existence solutions, which are described in terms of a sequence of nonnegative definite algebraic Riccati matrices, are constructed. Next, a generalization of such a game to a multi-player case is studied. Using the results in a two-person case, the characterization of a feedback saddle-point solution for the multi-player game is derived.]]>
<![CDATA[Development of the GeoGebra’s Guidebook in Creating Mathematics Learning Media Based on Ethnomathematics ]]>
<![CDATA[Lekitoo, John Nandito]]>;
<![CDATA[Kurniati MA, Ratnah]]>;
<![CDATA[Sugiarto, Sigit]]>;
<![CDATA[Dahoklory, Andy Sunder Keer]]>;
<![CDATA[Inuhan, Michael]]>;
<![CDATA[Rupilele, Karolina]]>
<![CDATA[ Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 1 (2024) ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/bamme.v4i1.10021
<![CDATA[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.]]>
<![CDATA[Distribution of prime numbers Distribution of the prime numbers ]]>
<![CDATA[Khalil, Lolav Ahmed]]>
<![CDATA[ Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 1 (2024) ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/bamme.v4i1.10408
<![CDATA[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.]]>
<![CDATA[Block Programming Scratch-Based: Interactive Learning Media in the Merdeka Curriculum for Straight Line Equation Material 8th Grade Junior High School ]]>
<![CDATA[Triayuningtiyas, Alfika]]>;
<![CDATA[Prasetyo, Puguh Wahyu]]>
<![CDATA[ Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 1 (2024) ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/bamme.v4i1.10445
<![CDATA[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.]]>
<![CDATA[Improving mathematical literacy: How does PBL affect the students’ performance? ]]>
<![CDATA[Andini, Fadhila]]>;
<![CDATA[Siregar, Machrani Adi Putri]]>
<![CDATA[ Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 1 (2024) ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/bamme.v4i1.10482
<![CDATA[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.]]>
