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JTAM (Jurnal Teori dan Aplikasi Matematika)
Published by Universitas Muhammadiyah Mataram
ISSN : 25977512     EISSN : 26141175     DOI : 10.31764/jtam
Core Subject : Education,
Mathematics
Jurnal Teori dan Aplikasi Matematika (JTAM) dikelola oleh Program Studi Pendidikan Matematika FKIP Universitas Muhammadiyah Mataram dengan ISSN (Cetak) 2597-7512 dan ISSN (Online) 2614-1175. Tim Redaksi menerima hasil penelitian, pemikiran, dan kajian tentang (1) Pengembangan metode atau model pembelajaran matematika di sekolah dasar sampai perguruan tinggi berbasis pendekatan konstruktivis (PMRI/RME, PBL, CTL, dan sebagainya), (2) Pengembangan media pembelajaran matematika berbasis ICT dan Non-ICT, dan (3) Penelitian atau pengembangan/design research di bidang pendidikan matematika, statistika, analisis matematika, komputasi matematika, dan matematika terapan.
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Articles 20 Documents
 1   2 
Search results for , issue "Vol 6, No 1 (2022): January" : 20 Documents clear
Boundedness of Solution Operator Families for the Navier-Lame ́ Equations with Surface Tension in Whole Space Sri Maryani; Ari Wardayani; Bambang Hendriya Guswanto
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.6217

Abstract

In this paper, we consider the boundedness of the operator families in whole space for Navier-Lame model problem in bounded domain of N dimensional Euclidean space (N≥2). To find the boundedness of the operator families, first of all we construct model problem in the form of the resolvent problem by using Laplace transform. Then, using Fourier transform, we get the solution formula of the model problem. In this paper, we use the qualitative methods to construct solution formula of velocity (u). This step is fundamental stage to find the well-posedness of the model problem. As we known that fluid motion can be described in partial differential equation (PDE). Essential point in PDE are finding existence and uniqueness of the model problem. One methods of investigating the well-posedness is R-boundedness of the solution operator families of the model problem. We can find the R-boundedness of the solution operator families not only in whole-space, half-space, bent-half space and in general domain. In this paper we investigate the R-boundedness of the solution operator families only in whole space. By using this R-boundedness, we can find that the multipliers which form of the operator families are bounded with some positive constant. 
Application of Beddington DeAngelis Response Function in Ecological Mathematical System: Study Fish Endemic Oliv Predator Species in Merauke Rian Ade Pratama; Maria Fransina Veronica Ruslau
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.5340

Abstract

Predator-prey type fishery models Oliv fish is a trans-endemic predator species that inhabits freshwater swamps and brackish water in Merauke, Papua. Maintaining the survival of the Oliv fish species is the main reason for compiling a mathematical model, so that it can be considered by local governments in making ecological policies. Method on model discussed is assembled with the growth of predator-prey populations following the growth of logistics. The response or predatory function corresponding to the behavior of endemic Oliv fish is the Beddington DeAngelis type. The growth of predatory species uses the concept of growth with stage structure, are divided into mature and immature. Research results show there are four equilibrium points of the mathematical model, but only one point becomes the asymptotic stable equilibrium point without harvesting W_4 (x^*,y^*,z^* )=92.823,1311.489,525.957 and equilibrium point with harvesting W_4 (x^*,y^*,z^* )=95.062,92.639,160.466 . Harvesting exploitation efforts are carried out by the community so that the harvesting variables are added with a proportional concept. Simulation of the results of the study shows a stable scheme and harvesting conducted can maintain the number of populations that continue. 
Islamic Integrated Information Communication Technology Mathematics Learning Model for Students' Creativity and Environmental Awareness Abdillah Abdillah; Ajeng Gelora Mastuti; Muhammad Rijal; Nurlaila Sehuwaky
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.5755

Abstract

Mathematics teachers in integrated Islamic schools in Maluku are having problems implementing the integration of Islam into mathematics learning. This study aims to develop a learning model based on Islamic Integrated Information Communication Technology (IICT) to help teachers increase creativity in mathematical problem solving and students' environmental awareness. The main output of this research is an ICT-based active learning model that integrates Islamic sciences into mathematics learning to support the development of creativity skills in solving mathematical problems and students' environmental awareness at an early age. The development of the learning model in this study is a combination of the Plomp (2013), Dick & Carey (2015), and Joyce et al. (2009). Plomp's model was used for the research and model development phase, Dick & Carey for instructional design, and Joyce et al. for the model's contents. The resulting model is an adaptation of the hierarchical and procedural combination of the three developments. The research subjects are mathematics teachers and students. The data analysis technique used is the analysis of the instrument's validity, the IICT model, the practicality, and the effectiveness of the IICT model. Based on expert validation and testing results, the resulting model meets the needs of mathematics teachers and students of SMP/MTs in an integrated Islamic school environment. The results showed that the IICT learning model was qualified to help teachers integrate Islam in mathematics learning, increase creativity in solving math problems, and students' environmental awareness.
Non-Braid Graphs of Ring Zn Era Setya Cahyati; Rizka 'Abid Fadhiilah; Ananditya Dwi Candra Bp; Indah Emilia Wijayanti
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.5559

Abstract

The research in graph theory has been widened by combining it with ring. In this paper, we introduce the definition of a non-braid graph of a ring.  The non-braid graph of a ring R, denoted by YR, is a simple graph with a vertex set R\B(R), where B(R) is the set of x in R such that  xyx=yxy for all y in R.  Two distinct vertices x and y are adjacent if and only if xyx not equal to yxy.  The method that we use to observe the non-braid graphs of Zn is by seeing the adjacency of the vertices and its braider.  The main objective of this paper is to prove the completeness and connectedness of the non-braid graph of ring Zn. We prove that if n is a prime number, the non-braid graph of Zn is a complete graph. For all n greater than equal to 3,  the non-braid graph of Zn is a connected graph.
Multiple Representations Appear When Students Interpret Signs in Constructing Rectangle Concepts Christine Wulandari Suryaningrum; Rr. Putri Hawa Dwi Lestari
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.3965

Abstract

Multiple Representation the ability to use several mathematical expressions. The purpose of this study is to describe the representations that appear when students interpret the signs. Descriptive explorative research is used in this study with three elementary school students in the Jember Regency. The research was conducted teacher’s teaching process, recording students 'activities using field note sheets, and analyszing the results of students' notes when constructing concepts. The research findings showed that the subject interpreted the sign by investigating the sign and then using some interpretations to express his mathematical ideas in the form of writing, pictures, tables, numbers, and symbols. This shows when interpreting the subject's sign using multiple representations. The representations used are image, verbal, and symbol representations. The results of this study are useful for teachers to stimulate children to make more than one representation when constructing a rectangle concept. 
Designing STEM–based Learning Management System using Moodle as a Distance Learning Alternative in Basic Calculus Courses Malik Ibrahim; Sunardi Sunardi; Lalu Moh Yudha Isnaini
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.5332

Abstract

This study aims to develop STEM-based Learning Management System using Moodle as an alternative to distance learning in a structured manner. ADDIE method deploy as the development model and outlined in the Moodle-assisted platform. Product quality Measurement using questionnaires, by looking at the percentage of user response. The study found that; (1) the expert validation of the STEM-based Learning Management System using Moodle is 3,76 which is converted to 94%, (2) the practicality of STEM-based Learning Management System is 3,83 which is converted to 95,75%, (3) STEM-based LMS gave positive result by easy to use and has a service menu that is served clearly to student with a total value of 3,84 converted to 96%. The STEM based LMS effectively used during the covid 19 pandemic as an alternative to distance learning, and has an impact on problem-solving capabilities. 
Development of Rubric of Higher Order Thinking Skills Assessment on Mathematics Learning Ega Gradini
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.5342

Abstract

This research aims to develop a rubric of Higher-Order Thinking Skills Assessment on mathematics learning that is valid, reliable, and practical. The Plomp's developmental method, the Generic model for educational design, was deployed to develop the HOTS assessment rubric. The method consisted of 4 phases, namely; (1) preliminary investigation, (2) design, (3) development, and (4) implementation and evaluation. The rubric was designed and developed to measure students' higher-order thinking skills in mathematics learning. The rubric was developed by integrating HOTS characteristics in mathematics: critical thinking, problem-solving, mathematical understanding, mathematical modeling, proof and reasoning, mathematical representation, and mathematical communication. The HOTS assessment rubric's quality was examined using Plomp's product/prototype quality criteria: (1) validity, (2) reliability, and (3) practicality/usability. The rubric of the HOTS assessment was validated by two validators that are experts on HOTS in mathematics. The practicality/usability of the rubrics was examined by five mathematics teachers from different Junior High schools. The validity and reliability were measured using Gregory's Expert Agreement Index (EAI), while the rubric's practicality was analyzed using practicality product criteria. The research shows that the validity of the rubric of HOTS assessment on mathematics learning is 0.82 (valid), and the reliability is 0.79 (reliable). Meanwhile, the practicality of the rubric is 81.02 (Good). In conclusion, the rubric of the HOTS assessment on mathematics learning is valid, reliable, and practical to use to measure students' higher-order thinking skills in mathematics learning.
Development of Student Worksheets Based Computational Thinking for Derivatives of Algebra Function Eka Rachma Kurniasi; Rajab Vebrian; Ayen Arsisari
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.6022

Abstract

Computational Thinking (CT) is one of the important thinking skills in the 21st century. However, mathematics has not been widely developed in the classroom learning process. The results of the initial study show that there is no student worksheet based on compuational thinking for high school students. This study aims to develop a Student Worksheet (LKPD) based on Computational Thinking the derivatives of algebra function of for high school students. This type of research is development research with ADDIE model development research design. The steps are analysis, design, development, implementation, and evaluation. The research subjects were high school students of grade 11 who received material on the derivatives of algebraic functions. The research instruments were  student worksheet as a development product, expert validation questionnaires, teacher practicality questionnaires, and student response questionnaires. The product developed in this study is a CT-based math worksheet for the derivatives of algebraic functions for high school students. This product is validated by material experts and mathematics learning experts. Furthermore, the practitioner test by high school mathematics teachers and questionnaire responses by high school students, the number of students are 20 people. The results of this study are the Mathematics Student Worksheets based on Computational Thinking material for the derivatives of algebra fuction for high school students that are valid and practical. The resulting LKPD contains CT steps, namely abstraction, generalization, decomposition, algorithmic, debugging. This worksheet is one way to integrate computational thinking in mathematics learning.
Implementation of Mathematics Learning Through Hydroponic Farming to Improve Mathematics Ability in Early Childhood Ni Wayan Suardiati Putri; I Wayan Gede Wardika; Agung Pasek Surya Kencana
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.5610

Abstract

This study aims to produce and determine the feasibility of early mathematics learning media through hydroponic farming for Early Childhood. The type of research carried out is development research, because in this study an initial mathematics learning media was developed through hydroponic farming for Early Childhood. The research instruments used were media validation sheets and teacher response questionnaires. The data analysis used is descriptive quantitative. The product produced in this study is a medium for early mathematics learning through hydroponic farming for Early Childhood that meets valid and practical criteria. This study took subjects in Early Childhood at Kartika Kindergarten, Peguyangan Kaja Village. The results of this study regarding media validation showed that the initial mathematics learning media through hydroponic farming for Early Childhood had met the valid criteria. Judging from the results of the analysis of the teacher's response to learning media, namely the teacher's response to the use of media, it shows 75.8% in the good category. This shows that the media can be implemented practically by the teacher. 
Prediction Active Case of Covid-19 with ERNN Winda Aprianti; Jaka Permadi; Herfia Rhomadhona
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.4874

Abstract

SARS-CoV-2 is known as Covid-19 has been spread in all world since end of 2019. Indonesia, including South Kalimantan has detected first Covid-19 in March 2020. This pandemic has affected in all entirely live in Indonesia. This makes Covid-19 be the main focus of the government. The government has provided aid and imposed restrictions on activities. These policies require planning that can be a solution. Careful planning requires an overview of the data on active cases that are positive for Covid-19. This overview can be obtained through prediction. In this research, Elman Recurrent Neural Network (ERNN) was used to predict active cases of Covid-19. Architecture of ERNN was used ERNN with 3 input nodes, 2 hidden nodes, and 2 context nodes. The data used is 277 data, which is then divided into training data and testing data, respectively 90%-10%, 80%-20%, and 70%-30%. ERNN with a learning rate of 0.1 until 0.9 is applied to data on active cases of Covid-19, then Mean Absolute Percentage Error (MAPE) is calculated to find out performance of model generated by ERNN. The results showed that all of MAPE were below 10% with the smallest MAPE as 3.21% for scenario 90:10 and learning rate 0.6. MAPE value which is less than 10% indicates that ERNN has very good predictive ability. 

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