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Desimal: Jurnal Matematika
ISSN : 26139073     EISSN : 26139081     DOI : -
Core Subject : Education, Social,
Desimal: Jurnal Matematika, particularly focuses on the main issues in the development of the sciences of mathematics education, mathematics education, and applied mathematics. Desimal: Jurnal Matematika published three times a year, the period from January to April, May to Augustus, and September to December. This publication is available online via open access.
Arjuna Subject : -
Articles 330 Documents
Fuzzy time series markov chain and discrete-time markov chain analysis of export gonggong in Batam Anggraeni, Andini Setyo; Sabarinsyah, Sabarinsyah; Hayati, Nahrul; Wati, Dia Cahya; Ananda, Serly Tri
Desimal: Jurnal Matematika Vol. 8 No. 1 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i1.26494

Abstract

Gonggong snails are an important fisheries commodity that has high economic value. However, freight on board export Gonggong has a bigger probability to decrease (below the half-term weighted average). So, more in-depth research is needed about Gonggong exports. In this research we will model and forecast Gonggong exports in Batam City using the Fuzzy Time Series Markov Chain (FTMC) and Discrete-Time Markov Chain (DTMC) methods. In FTMC the data will be divided into six states based on the fuzzification results, while in DTMC the data will be divided into four states, namely very low, low, high, and very high. Gonggong export data in kilograms for Batam City for 2020-2024 is sorted based on H.S. Code. The results of research using FTMC and DTMC provide similar results, namely that in the next six months, in December 2024, Gonggong's export size will experience an equilibrium condition where in the following months the export size will not experience significant changes. The highest possibility that will occur in this condition is that Gonggong's exports will be low with a probability of 39.99%, and the probability that exports will be very low is 24.75%. This is confirmed by the results of analysis using the fuzzy time series Markov chain. The results of the analysis predict that Gonggong's export in the following month, namely July 2024, will be 6,169.97 kg, which is in the low export size category. Predictions for the next month can also be made by continuing the calculation using FTMC.
Student’s errors in solving set problems for junior high school students based on newman's procedure Sari, Noviana Puspita; Sukoriyanto, Sukoriyanto; Sulandra, I Made
Desimal: Jurnal Matematika Vol. 8 No. 1 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i1.26550

Abstract

Errors in solving mathematical problems, especially in the material of sets, are still widely found in junior high schools. This study aims to describe the types of student errors and the factors causing them in solving problems about sets based on the Newman Procedure. The study was conducted on 31 eighth-grade students at one of the state junior high schools in Malang City, with three students (S-1 to S-3) selected as subjects by purposive sampling. The main instrument was the researcher, with supporting instruments in the form of tests and interviews. Data analysis was carried out using the Miles & Huberman model. The results of the study showed that subjects S-1 to S-2 misunderstood the problem (misunderstood what was actually known and asked in the problem incompletely), while S-3 did not. All subjects experienced transformation errors (wrong writing of mathematical models/formulas), process skills (miscalculations/not continuing the procedure), and final answers (wrong conclusions). The main causal factors include lack of reading accuracy, weak conceptual understanding, and errors in calculations and procedures. The implications of this study indicate the need for learning strategies that emphasize conceptual understanding, accuracy, and more systematic procedural solutions.
Estimating dredging volume at sunda pondok dayung dock using s-convex function-based curve fitting to ensure indonesian navy ship safety Ole, Yesaya Putra Dappa; Al Hazmy, Sofihara; Harist, Jiyaad Muhamad; Abdurrazzaq, Achmad
Desimal: Jurnal Matematika Vol. 8 No. 1 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i1.26624

Abstract

This study investigated the application of s-convex function-based curve fitting for estimating the dredging volume at Sunda Pondok Dayung Dock to ensure the safety of Indonesian Navy vessels. The research aimed to develop an alternative method to conventional numerical integration techniques by employing s-convex curve fitting using both two-point and three-point approaches and by comparing its performance with the trapezoidal rule, Simpson’s 1/3 rule, and Simpson’s 3/8 rule. Data from Pushidrosal’s 2023 survey were utilized, and explicit analytical forms for definite integral estimation were derived by approximating the function with s-convex methods. The results demonstrated that although the trapezoidal method produced the smallest relative error, the s-convex approach yielded a comparable error margin, differing by only 0.038%, which indicated its viability as an alternative method for dredging volume estimation. Future research was suggested to extend s-convex curve fitting to more than three points to further improve accuracy.
The influence of self-management on the mathematics learning outcomes of students Sitompul, Fika Tio Menti Br; Siregar, Sakinah Ubudiyah; Pasaribu, Laili Habibah
Desimal: Jurnal Matematika Vol. 8 No. 1 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i1.26749

Abstract

The purpose of this study was to analyze the effect of self-management on students' mathematics learning outcomes. This research is classified as a quantitative ex post facto type. The instrument used is a self-management questionnaire consisting of 20 statements, as well as odd semester report card data as an indicator to measure students' mathematics learning outcomes. The results of simple linear regression indicate that there is an influence of self-management on the mathematics learning outcomes of eighth-grade students at SMP Negeri 2 Rantau Utara.
The development of cartesian product operation of product fuzzy graphs and its properties Firmansah, Fery; Tasari, Tasari; Yuwono, Muhammad Ridlo
Desimal: Jurnal Matematika Vol. 8 No. 2 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/7edag538

Abstract

The product fuzzy graph is an extension of the fuzzy graph definition by replacing the minimum operation with the product operation. This research is qualitative research with research stages consisting of determining open problems, constructing new definitions, constructing new properties as theorems, and verifying results in the form of mathematical proofs. The purpose of this research is to get the Cartesian product definition of the product fuzzy graph and its properties. The results showed that the Cartesian product of two product fuzzy graphs is a fuzzy graph, the Cartesian product of two strong product fuzzy graphs is a strong product fuzzy graph, and the resulting Cartesian product of two complete product fuzzy graphs is a strong product fuzzy graph. Thus, the novelty of this research is that new properties of product fuzzy graphs are obtained.
Cognitive style: Student problem solving on integer count operations Jemamut, Natalia; Rochaminah, Sutji; Ismaimuza, Dasa; Paloloang, Muhammad Fachri B
Desimal: Jurnal Matematika Vol. 8 No. 1 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i1.27071

Abstract

This study aims to describe the profile of students who have Field Independent (FI) and Field Dependent (FD) cognitive styles in solving integer counting operation problems. This type of research is descriptive research. The approach used in this study is a qualitative approach. The results of this study show the profile of student problem solving with FI and FD cognitive styles in solving integer counting operation problems. (1) Student problem-solving profile with FI cognitive style in solving integer counting operation problems. Subject FI can determine and declare the elements that are known, that are questioned, and the sufficiency of other elements. Subject FI shows good ability in implementing problem-solving strategies with correct and thorough steps. Subject FI can explain the results of the completion orally and in writing. (2) Student problem-solving profile with FD cognitive style in solving integer counting operation problems. Subject FD can determine and state the elements that are known, that are asked, and the sufficiency of other elements, even though Subject FD reads the question repeatedly and takes a little longer, but Subject FD seems to understand the problem because it can determine and express the information from the question. Subject FD can compile a mathematical model from the problem. However, the mathematical model that was written did not use parentheses, so the sequence of operations did not correspond to the context of the story. Subject FD is still wrong in solving the problem so that the answers obtained are not correct. Subject FD can explain the results of the settlement orally, but does not write them in writing on the answer sheet.
Drill learning and practice method: Improving student learning outcomes on number counting operations round Mardia, Ainal; M, Bakri; Sukayasa, Sukayasa; Mubarik, Mubarik
Desimal: Jurnal Matematika Vol. 8 No. 1 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i1.27110

Abstract

This research is classroom action research that aims to improve student learning outcomes by using the drill and practice method in the direct learning model. The application of the direct learning model follows the following phases: 1) conveying the objectives and preparing the learners, 2) demonstrating knowledge or skills, 3) guiding the training, 4) checking understanding and providing feedback, and 5) providing opportunities for further training and application. This research was carried out in as many as two cycles by following predetermined stages. The subject of this study is 7th-grade students of SMP Negeri 1 Sindue Tobata, with a total of 23 students. The results of the research from Cycle I and Cycle II showed an increase in student learning in integer counting operations learning using the drill and practice method in the direct learning model, namely in Cycle I by 60.8% and in Cycle II by 87%. Therefore, the drill and practice learning method can improve student learning outcomes in learning integer counting operations.
Modeling third-party liability insurance claims: An exponential mixture distribution and parametric bootstrap-based solution Ainani Tajriyan Muntaharridwan; Aceng Komarudin Mutaqin
Desimal: Jurnal Matematika Vol. 8 No. 2 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/qwpt6206

Abstract

This study aims to model large third-party liability insurance claim data using an exponential mixture distribution with a parametric bootstrap approach. The research seeks to identify a suitable exponential mixture distribution and determine its properties, such as the mean, standard deviation, and probability. The methodology involves modeling the large third-party liability insurance claim data using an exponential mixture distribution where the mixing distribution is determined through a parametric bootstrap approach. The parametric bootstrap is utilized to generate a mixing distribution, with inverse gamma and inverse exponential distributions considered as candidates. The selection of the mixing distribution is based on the p-value of the Kolmogorov-Smirnov test and the log-likelihood function value. The parameters of the chosen exponential mixture distribution are estimated using the maximum likelihood method via the Newton-Raphson iteration. The data used is from a comprehensive third-party liability extension for category 2 vehicles in DKI Jakarta, Jawa Barat, and Banten for the 2018 underwriting year. The results of the analysis indicate that the exponential-inverse gamma mixture distribution is suitable for modeling the large claim data. The estimated mean value is IDR 4,318,360, the estimated standard deviation is IDR 6,797,485, and the estimated probability is 0.6950.
Students' cognitive styles: Algebraic function derivative problem solving profiles Beela, Cilint Rosa; Hasbi, Muh; Rizal, Muh; Nasir, Rahma
Desimal: Jurnal Matematika Vol. 8 No. 2 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/5r3mm615

Abstract

Cognitive style is one of the factors that affect the way individuals understand, process, and solve problems. The purpose of this study is to obtain an overview of students who have Field Dependent (FD) and Field Independent (FI) cognitive styles in solving algebraic function derivative problems. This type of research is descriptive research with a qualitative approach. The results of the study show that there are differences in FD and FI subjects in solving problems of derivative algebraic functions. FD and FI subjects can identify information from the problem in full and formulate and construct mathematical models based on the information and reasoning made, but FD subjects do not provide reasons for spelling. The FD subject did not use the settlement strategy correctly, and in the settlement process there were still procedural errors such as errors in performing algebraic manipulation, writing the mark of the calculation operation, and the differentiation process, so that the stationary point and the maximum volume of the aquarium were not correct, while the FI subject used the settlement strategy with the correct steps and calculations so that it succeeded in obtaining the maximum volume of the aquarium. Although it has not been able to prove that the stationary point obtained is the maximum value. FD and FI subjects were able to conclude the results of the settlement orally, but the FD subjects did not write the conclusions on the answer sheet. FI subjects rechecked the answers, while FD subjects did not recheck. FD subjects tend to be less thorough in solving problems derivative from algebraic functions and less reflective in examining the results of the solution, while FI subjects show independence, precision, and the ability to formulate solving steps so that they can successfully obtain the right answers.
Memory effects and sustainable harvesting in a fractional-order predator-prey model with prey refuge and nonlinear harvesting Rahman, Hiwa Hussein; Faraj, Bawar Mohammed
Desimal: Jurnal Matematika Vol. 8 No. 2 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/94h4r762

Abstract

This study investigates the dynamics of a predator-prey model with fractional-order derivatives, incorporating factors such as prey refuge, nonlinear harvesting, and memory-dependent processes. The model is governed by a coupled system of Caputo fractional differential equations, where prey growth follows logistic dynamics with refuge parameter , and harvesting adopts a generalized nonlinear form. The predator’s functional response follows a Holling type II mechanism modified by prey refuge. We analyze existence, uniqueness, and stability of equilibrium points, along with the influence of fractional-order derivative  on long-term behavior. Numerical simulations reveal that memory effects significantly alter system dynamics, leading to sustained oscillations, enhanced stability, or complex bifurcation patterns compared to classical integer-order models. Furthermore, we explore sustainable harvesting strategies by examining the impact of refuge and harvesting efforts on population persistence. Our findings highlight ecological implications of fractional-order dynamics in predator-prey systems, providing insights into biodiversity conservation and resource management.