JTAM (Jurnal Teori dan Aplikasi Matematika)最新文献_第3页

Exploring Local Culture through Geometry Transformation: a Study of Banyumasan Batik 通过几何变换探索地方文化：班尤马桑蜡染研究

JTAM (Jurnal Teori dan Aplikasi Matematika) Pub Date : 2024-01-19 DOI: 10.31764/jtam.v8i1.17298

Ifada Novikasari, Maghfira Febriana

{"title":"Exploring Local Culture through Geometry Transformation: a Study of Banyumasan Batik","authors":"Ifada Novikasari, Maghfira Febriana","doi":"10.31764/jtam.v8i1.17298","DOIUrl":"https://doi.org/10.31764/jtam.v8i1.17298","url":null,"abstract":"Banyumasan batik is one of Indonesia's cultural heritages from Banyumas Regency, which has unique and interesting patterns and motifs. This research paper describes the mathematical modelling of geometric transformations in Banyumasan batik. Geometric transformation is a mathematical technique for changing the shape or position of an object on a plane. This is qualitative research with an ethnographic approach. Data is collected through observation, interviews, and documentations. The data obtained were analysed using content analysis to identify various Banyumasan batik motifs that can be transformed into geometric forms. This study describes the basic geometric transformations, namely translations in Sekar Tirta batik motif, reflections in Bawor Kembar batik motif, dilations in Kawung Jenggot batik motif, and rotations in Manggar Bawor batik motif which applied to Banyumasan batik motifs. The results of this study include geometric transformations of Banyumasan batik motifs which are expected to positively contribute to the development of Indonesian art and culture, especially in the field of batik, enrich insight and knowledge about the application of mathematics in everyday life, and can be used for mathematical modelling and mathematics education based on local culture.","PeriodicalId":489521,"journal":{"name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","volume":"64 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140503117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Digital Media Innovation Based on Multimedia Cognitive and Constructivist Theory in a Cultural Context: Encouraging Students' Higher Order Thinking Skills 文化背景下基于多媒体认知和建构主义理论的数字媒体创新：鼓励学生的高阶思维能力

JTAM (Jurnal Teori dan Aplikasi Matematika) Pub Date : 2024-01-19 DOI: 10.31764/jtam.v8i1.16800

B. Siregar, Asmin Panjaitan, H. Hasratuddin, Kairuddin Kairuddin, Mulyono Mulyono, Arief Aulia Rahman

{"title":"Digital Media Innovation Based on Multimedia Cognitive and Constructivist Theory in a Cultural Context: Encouraging Students' Higher Order Thinking Skills","authors":"B. Siregar, Asmin Panjaitan, H. Hasratuddin, Kairuddin Kairuddin, Mulyono Mulyono, Arief Aulia Rahman","doi":"10.31764/jtam.v8i1.16800","DOIUrl":"https://doi.org/10.31764/jtam.v8i1.16800","url":null,"abstract":"The high-order thinking skills of students in Indonesia are classified as low, this is in line with the results of diagnostic tests conducted in class IX junior high school. Thus, it is necessary to develop digital media based on multimedia and constructivist cognitive theory with cultural context as one of the alternative solution. This study aims to (1) develop digital learning media based on constructivist and cognitive multimedia theories with a cultural context that fulfills the categories of validity, practicality and effectiveness; and (2) improve students' high-order thinking skills after using these media in the learning process. The research subjects were 30 students in class IX junior high school and the research objects were digital learning media based on constructivist theory and cognitive multimedia with a cultural context to improve students' high-level thinking skills on the topic of dilation. This is a research design with the Plomp model, which consists of (1) Preliminary research; (2) Prototyping phase; and (3) Assessment phase. The research instruments used were interviews, questionnaires and tests. The results showed that the product developed was included in the very valid, very practical, and effective category, where: (a) classical learning completeness reached 97%; (b) positive response by product users reached 97%; and (c) the N-Gain value was 0.791 in the very high category. Thus, it can be stated that the product meets the quality standard criteria, where the product can be used to improve students' high-level thinking abilities. ","PeriodicalId":489521,"journal":{"name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","volume":"461 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140502658","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Development of Differentiate Student Worksheets: an Efforts to Improve Student Argumentation Ability 开发差异化学生作业单：提高学生论证能力的努力

JTAM (Jurnal Teori dan Aplikasi Matematika) Pub Date : 2024-01-19 DOI: 10.31764/jtam.v8i1.17426

Zuhadur Ra'is Ariyono Putra, Rustanto Rahardi, S. Sisworo

{"title":"Development of Differentiate Student Worksheets: an Efforts to Improve Student Argumentation Ability","authors":"Zuhadur Ra'is Ariyono Putra, Rustanto Rahardi, S. Sisworo","doi":"10.31764/jtam.v8i1.17426","DOIUrl":"https://doi.org/10.31764/jtam.v8i1.17426","url":null,"abstract":"Online learning experiences have been associated with reduced learning outcomes and limited student engagement in argumentation. To address this issue, the focus on teaching materials becomes crucial, especially in promoting differentiated learning to accommodate pandemic-induced learning losses. A prime candidate for enhancing argumentation skills is the study of quadrilaterals within mathematics. Mastering the quadrilateral concept and its argumentative structure is pivotal for students. Hence, the creation of student worksheets employing differentiated learning principles is imperative. This research aims to develop valid, practical, and effective quadrilateral worksheets with a focus on adversity quotient differentiation. The ADDIE model guides the development process through Analysis, Design, Development, Implementation, and Evaluation stages. Rigorous evaluation, including expert validation (83.8% very valid), field trials (91% very practical), and N-Gain score analysis (0.73, indicating effectiveness), underscores the quality of the developed worksheets. In conclusion, the adversity quotient differentiated quadrilateral worksheets has been successfully crafted to enhance students' argumentation skills. It is deemed valid, practical, and effective in improving learning outcomes. This initiative holds potential for addressing the challenges posed by online learning and contributes to students' academic development.","PeriodicalId":489521,"journal":{"name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","volume":"426 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140502758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Hyperstructures in Chemical Hyperstructures of Redox Reactions with Three and Four Oxidation States 三氧化态和四氧化态氧化还原反应的化学超结构

JTAM (Jurnal Teori dan Aplikasi Matematika) Pub Date : 2024-01-19 DOI: 10.31764/jtam.v8i1.17011

Fakhry Asad Agusfrianto, Sonea Andromeda, Mariam Hariri

引用次数: 0

Exploring Students Learning Difficulties in Linear Function: A Diagnosis of Grade 9 探索学生学习线性函数的困难：九年级诊断

JTAM (Jurnal Teori dan Aplikasi Matematika) Pub Date : 2024-01-19 DOI: 10.31764/jtam.v8i1.17259

Sarah Inayah, Al Jupri, D. Darhim, Sufyani Prabawanto

{"title":"Exploring Students Learning Difficulties in Linear Function: A Diagnosis of Grade 9","authors":"Sarah Inayah, Al Jupri, D. Darhim, Sufyani Prabawanto","doi":"10.31764/jtam.v8i1.17259","DOIUrl":"https://doi.org/10.31764/jtam.v8i1.17259","url":null,"abstract":"The aim of this research is to determine students' learning difficulties in completing diagnostic tests on linear function material. In managing data, quantitative procedures are used with the aim of reducing data. After that the data is analyzed using inductive data analysis and the processed data will be presented in narrative form. So this type of research is qualitative research. The subjects in this research were class IX students at a junior high school in Cianjur. The instruments used in this research were documentation, tests and interviews. The conclusions of the research results obtained include the types of student difficulties in straight line equation material are (1) difficulties in algorithmic abilities including a lack of planning abilities (strategy knowledge) and in solving abilities (algorithmic knowledge) which are shown from incomplete answers or lack of steps , the lack of accuracy of students in working; (2) difficulties in using the principle of linear functions, lack of mastery of the basics of algebra and lack of understanding (schematic knowledge) as indicated by difficulties in recognizing linear functions in contextual problems, errors in algebraic computations, difficulty in determining the point through which the line passes, and difficulty in apply the principle of parallel or perpendicular gradients; and (3) difficulties in using the concept including the inability to remember the concept, the inability to deduce useful information from a concept and the lack of understanding skills (schematic knowledge) which is shown by incompleteness in writing formulas. This research will be useful as a preliminary study in making learning designs to overcome student learning difficulties in linear function material based on empirical findings.","PeriodicalId":489521,"journal":{"name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140503481","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nonlinear Principal Component Analysis with Mixed Data Formative Indicator Models in Path Analysis 路径分析中的非线性主成分分析与混合数据形成指标模型

JTAM (Jurnal Teori dan Aplikasi Matematika) Pub Date : 2024-01-19 DOI: 10.31764/jtam.v8i1.17559

Rindu Hardianti, Solimun Solimun, Nurjannah Nurjannah, Rosita Hamdan

引用次数: 0

Comparison of Mediation Effects on Interaction and Multigroup Approach in Structural Equation Modeling PLS in Case of Bank Mortgage 以银行抵押贷款为例，比较结构方程模型 PLS 中交互法和多组法的中介效应

JTAM (Jurnal Teori dan Aplikasi Matematika) Pub Date : 2024-01-19 DOI: 10.31764/jtam.v8i1.19919

Ulfah Maisaroh, Adji Achmad Rinaldo Fernandes, A. Iriany, Mohammad Ohid Ullah

{"title":"Comparison of Mediation Effects on Interaction and Multigroup Approach in Structural Equation Modeling PLS in Case of Bank Mortgage","authors":"Ulfah Maisaroh, Adji Achmad Rinaldo Fernandes, A. Iriany, Mohammad Ohid Ullah","doi":"10.31764/jtam.v8i1.19919","DOIUrl":"https://doi.org/10.31764/jtam.v8i1.19919","url":null,"abstract":"“Structural Equation Modeling is one of multivariate statistical method that used to explain multiple relationships between latent variables simultaneously to test a mediation model to conduct a formal test on mediation effects. Application PLS-SEM for exploratory research and theory development are increasing. Under certain conditions, the effect of exogenous variables on endogenous variable is also strengthened or weakened by moderating variable. In SEM, there are two approaches in analyzing moderation variables, namely the interaction method and the multigroup method. This article aims to compare the mediation effect on interaction approaches and multigroup approaches in Structural Equation Modeling. The data used is the case of timeliness of Bank X mortgage payments. In this article, statistical methods are evaluated to compare indirect effect between groups and examine indirect effect on each group. It was concluded that Collectability Status moderates the indirect relationship between Capital and the Timeliness of Payment through Willingness to Pay. Debtors with current collectability status more strongly effect the Timeliness of Payment than debtors with incurrect collectability status. Theresults of testing indirect effects on moderation with interaction and multigroup approaches are not much different. In the multigroup approach, the bootstrap interval bias is smaller than the bootstrap interval bias in the interaction approach. The Q-square Predictive Relevance value in both methods is quite high, indicating that the model is good. On the Current Collectibility Status group Q^2 is 89.3%, in the incurrect Collectibility Status Q^2 is 84.2%. While in the interaction approach, Q^2 is 70.4%. Researcher recommend a multigroup approach to data that has categorical moderation variables because differences between groups can be directly observed without adding interaction variables in the model.”","PeriodicalId":489521,"journal":{"name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","volume":"53 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140502821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Platelet Modeling in DHF Patients Using Local Polynomial Semiparametric Regression on Longitudinal Data 利用纵向数据的局部多项式半参数回归建立 DHF 患者的血小板模型

JTAM (Jurnal Teori dan Aplikasi Matematika) Pub Date : 2024-01-19 DOI: 10.31764/jtam.v8i1.17427

Tiani Wahyu Utami, Nur Chamidah, T. Saifudin

{"title":"Platelet Modeling in DHF Patients Using Local Polynomial Semiparametric Regression on Longitudinal Data","authors":"Tiani Wahyu Utami, Nur Chamidah, T. Saifudin","doi":"10.31764/jtam.v8i1.17427","DOIUrl":"https://doi.org/10.31764/jtam.v8i1.17427","url":null,"abstract":"Regression analysis is one of the statistical methods used to model the relationship between response variables and predictor variables. Semiparametric regression is a combination of parametric and nonparametric regression. The estimator used in estimating the semiparametric regression model in this research is the Local Polynomial. Longitudinal data can be found in the health sector, including dengue hemorrhagic fever (DHF) data. The laboratory criteria for indication of DHF is thrombocytopenia. This research aims to obtain platelets model for DHF patients that can be used for forecasting so that it is hoped that it can provide information to the medical team in treating DHF patients. The estimated model used is Local Polynomial semiparametric regression on longitudinal data. The response variables in this research were platelets of DHF patients, which were influenced by hemoglobin as parametric predictor variable and examination time while hospitalized as nonparametric predictor variable. In the local polynomial regression model, it is necessary to select the optimal bandwidth and polynomial order method, GCV. The optimum bandwidth selection based on the GCV method obtained is 1.5 and polynomial order of 2, then applied to DHF patient platelet data, producing an estimated local polynomial semiparametric regression model that follows the actual data pattern. Modeling the platelets of DHF patients obtained using a local polynomial estimator resulted in an R2 value of 84.25% and MAPE of 4.5%, indicating highly accurate forecasting, so it can be concluded that the resulting model is better at predicting.","PeriodicalId":489521,"journal":{"name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","volume":"403 4-6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140502926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Mental Comparison of Students Learning Abacus-Arithmetic and Not Learning Abacus-Arithmetic on Mathematics Material 学算盘和不学算盘的学生对数学教材的心理比较

JTAM (Jurnal Teori dan Aplikasi Matematika) Pub Date : 2024-01-19 DOI: 10.31764/jtam.v8i1.17614

Loso Judijanto, Jitu Halomoan Lumbantoruan

{"title":"Mental Comparison of Students Learning Abacus-Arithmetic and Not Learning Abacus-Arithmetic on Mathematics Material","authors":"Loso Judijanto, Jitu Halomoan Lumbantoruan","doi":"10.31764/jtam.v8i1.17614","DOIUrl":"https://doi.org/10.31764/jtam.v8i1.17614","url":null,"abstract":"Students' mental mastery in elementary school mathematics lessons in Indonesia is weak, slow, inaccurate, and declining. Mastery problems among elementary school students who have studied mental abacus arithmetic were found to be low. This is an urgent matter to research because there is a gap between theory, expectations, and reality. The purpose of this research was to compare the ability to solve mathematical problems between students who studied abacus mental arithmetic and students who did not study abacus mental arithmetic. This research involved 70 students. Data collection techniques using instruments, the instruments used were the first-semester mathematics exam and mental arithmetic exam. Data analysis techniques using SPSS Version 25.0 statistics, namely the t-test, were used to compare the ability to solve mathematical problems between students who studied mental abacus-arithmetic and students who did not study mental abacus-arithmetic. Pearson correlation was used to determine the relationship between students' mental arithmetic learning achievement and their ability to solve mathematical problems. The results of the research showed that there was a significant difference (p<0.05) in learning achievement on symbolic mathematics questions and mental arithmetic achievement between students who studied mental abacus calculation and students who did not study mental abacus calculation. The minimum score of the group that studied mental abacus calculation was higher compared to the group that did not study mental abacus calculation. However, there was no significant difference (p<0.05) in mathematics learning achievement between students who studied mental abacus-arithmetic and students who did not study mental abacus-arithmetic. ","PeriodicalId":489521,"journal":{"name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","volume":"379 1-3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140503082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fuzzy Logic Speed Regulator for D.C. Motor Tuning 用于直流电机调谐的模糊逻辑调速器

JTAM (Jurnal Teori dan Aplikasi Matematika) Pub Date : 2024-01-19 DOI: 10.31764/jtam.v8i1.16919

Wasim Raza, Dieky Adzikya, Saba Mehmood, Syeda Rabbia Wasti, Muhammad Jafar Hussain, Aftab Ahmad, Muhammad Talha Usman, Sajid Raza

{"title":"Fuzzy Logic Speed Regulator for D.C. Motor Tuning","authors":"Wasim Raza, Dieky Adzikya, Saba Mehmood, Syeda Rabbia Wasti, Muhammad Jafar Hussain, Aftab Ahmad, Muhammad Talha Usman, Sajid Raza","doi":"10.31764/jtam.v8i1.16919","DOIUrl":"https://doi.org/10.31764/jtam.v8i1.16919","url":null,"abstract":"A D.C. motor's rotational speed is regulated in this study using a PID controller and a fuzzy logic controller. In contrast to the fuzzy logic controller, which uses rules based on knowledge and experience, the proportional-integral-derivative (PID) controller requires a mathematical system model. This study investigates the regulation of a DC motor's velocity using PID and fuzzy logic controllers. The PID controller utilizes a mathematical model and parameter tuning by trial and error. Still, the fuzzy logic controller (FLC) operates on rule-based knowledge, enabling it to handle the nonlinear features of the DC motor effectively. The FLC design entails intricate determinations, including the establishment of a rule base and the process of fuzzification. A total of 49 fuzzy rules have been devised to achieve precise control. Based on MATLAB/SIMULINK simulations, the study concludes that the Fuzzy Logic Controller (FLC) beats the Proportional-Integral-Derivative (PID) controller. The FLC exhibits superior transient and steady-state responses, shorter response times, reduced steady-state errors, and higher precision. This study emphasizes the efficacy of the FLC (Fuzzy Logic Controller) in dealing with the difficulties associated with DC motor control. It presents a strong argument for the suitability and efficiency of FLCs in industrial environments compared to conventional PID (Proportional-Integral-Derivative) controllers. There are a wide variety of ways to construct a fuzzy logic controller. The speed error and the rate of change in the speed error are two inputs to the FLC. Defuzzification is done by focusing on the core of the problem. The results show that FLC is superior to PID controllers in efficiency and effectiveness due to its reduced transient and steady-state factors.","PeriodicalId":489521,"journal":{"name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","volume":"100 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140502411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0