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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.
Arjuna Subject : -
Articles 540 Documents
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The Effect of Inquiry Based Learning on Students Mastery of Concept and Social Skills Syarifuddin, Syarifuddin
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.13236

Abstract

Inquiry Based Learning is a learning strategy that provides space for students to carry out investigations. This study was conducted to test whether there is a positive effect of Inquiry based learning on mastery of concepts and student social skills. The participant used was students of Early Childhood Islamic Education which consisted of 31 people for the experimental class and 30 people for the control class. The type of research used was quasi-experimental design. To test the analysis prerequisites using the data normality test using the Kolmogorov-Smirnov technique and the variance homogeneity test. Furthermore, to analyze hypothesis testing data using parametric statistics, with Analysis of variance techniques (ANOVA). Based on the results of hypothesis testing concluded that there are significant differences in the mastery of the concept of the experimental group students with the control group. then there are significant differences in the social skills of the experimental group students with the control group. The implication of this study is that the use of Inquiry based learning positively influences the mastery of concepts and student social skills and provides good experience to prospective Early Childhood Education teacher students collaborating on various investigations in solving problems.  
The Effect of Realistic Mathematics Education in Enhancing Indonesian Students' Mathematical Reasoning Ability: A Meta-Analysis Ariati, Chelsi; Juandi, Dadang; Hasanah, Aan; Suparman, Suparman
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.12493

Abstract

Many researchers have carried out meta-analysis studies related to realistic mathematics education (RME) to enhance mathematical ability. However, their research does not focus on mathematical reasoning ability (MRA). This study aims to estimate and examine the effect of RME implementation in enhancing the MRA of Indonesian students, as well as to explore the moderating factors that influence students' heterogeneous MRA. The meta-analysis examined twenty-five relevant primary research published in national and international journals and sessions between 2010 and 2022. The steps of this research are formulate the problem, inclusion criteria, literature search strategy, study selection, data extraction, statistics analysis, interpretation and reporting. To calculate the effect size, the analytical tool employed the Comprehensive Meta-Analysis (CMA) program using the Hedge formula. Based on the random effect model, the total RME implementation had a very high effect (g = 1,064; p<0,05), significantly enhancing the MRA of Indonesian students. Furthermore, class capacity, educational level, and technological assistance did not influence students' heterogeneous MRA in the RME. These findings imply that Indonesian math educators should consider RME as one of the best ways to implement mathematics learning in the classroom to enhance students' MRA. 
Development of Codular-Assisted Android-Based Mathematics Media to Increase Student Motivation and Learning Outcomes Permatasari, Nova Mitha; Effendi, Moh. Mahfud; Azmi, Rizal Dian
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.13521

Abstract

Research on the development of codular-assisted android-based mathematical media was carried out to increase student motivation and learning outcomes in learning mathematics. This research refers to the ADDIE model, which consists of 5 stages: analysis, design, development, implementation, and evaluation. The research was conducted on 30 class IX students at MTS Muhammadiyah 1 Malang. The study results show that the validity value of the media is 88.4%, with a very good category. So that this android media meets the criteria and is very suitable for use in learning. As for the test results on student learning outcomes, this media can improve student learning outcomes by increasing the average test results, namely the pre-test 41.67 and the post-test 91.67, which shows that the data results make the data distribution homogeneous. The student learning motivation questionnaire as a whole with the pre-test results found 93.33% who had motivation in the good criteria, and the remaining 6.67% were in the fewer criteria. In the post-test, 83.33% had very good motivation, and the remaining 16.67% were in good criteria. This shows an increase in student motivation after using Android-based media. So it can be concluded that the use of android-based mathematics media with the material Build a Curved Side Room (Tube) developed in this study is valid and can increase motivation and student learning outcomes. This study proves that learning media can increase motivation and learning outcomes. Therefore, the results of this study can be used as an alternative to learning mathematics, especially to increase student motivation and learning outcomes.
Learning Trajectory in Problem-Based Mathematics Learning with Literacy and Numeracy Reinforcement: An Implementation of Lesson Study at Junior High School Fauziyah, Nur
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.12883

Abstract

This study aims to explore the learning trajectory of problem-based learning with literacy and numeracy reinforcement. This study was conducted at Junior High School and involved 32 subjects from class VIII. This study employed Gravemeijer and Cobb's design research comprising three stages: preparing the experiment of hypothetical learning trajectory (HLT), designing the experiment by implementing the designed HLT-based learning, and conducting retrospective analysis by comparing HLT with the implemented learning. The learning trajectory in this study consisted of three components: learning objectives, a series of tasks and learning activities, and students' techniques to think and learn. This research was conducted based on lesson study activities to create a lesson study for the learning community. Design research stages corresponded to lesson study stages and included studying curriculum, formulating goals and plans, conducting research lessons, and reflecting the lesson. This study has revealed that students' actual learning trajectory has four levels of modeling: situational, referential, general, and formal levels. At the situational level, non-mathematical literacy becomes the initial reference for students to collaborate and communicate with others; thus, mathematical concepts are created. The referential level leads students to represent real problems in real mathematical concepts.  The representation process aims to understand the concept in different situations. Finally, the students analogize the acquired understanding and bring it to the formal level to get a full understanding of the concept of one point position to another in Cartesian coordinates.
Analysis of the Needs of the PMRI Learning Environment for Geometry Material on the Critical Thinking Ability of PGSD Students Mulbasari, Anggria Septiani; Putri, Ratu Ilma Indra; Zulkardi, Zulkardi; Aisyah, Nyimas
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.11970

Abstract

Conducive learning situation is related to the quality of learning that is packaged in a learning environment. The purpose of this study is to describe the analysis of the PMRI learning environment's needs for geometry material on critical thinking skills. The ability to think critically is a skill that must be possessed by teachers, prospective teachers, and students in the 21st century; therefore, the availability of a learning environment based on the PMRI approach is very important for teachers, prospective teachers, and students, especially prospective teachers. This study uses a quantitative descriptive research method, with the number of respondents specifically testing the critical thinking ability test questions 40 people who were PGSD students at the PGRI Palembang University and the number of respondents specifically filling out the questionnaire as many 199 people, consisting of students from PGRI University of Palembang, PGRI University of Silampari and PGRI University of Yogjakarta. Data was gathered through the use of tests and questionnaires. The data collected were analyzed descriptively and quantitatively. Based on the analysis of test data, 80% of critical thinking skills are still below average, and questionnaire analysis revealed that 60.9% of the geometry material is considered difficult for students; students also do not understand the knowledge of 21st century skills, especially critical thinking skills, and the PMRI approach is still not well applied in the student learning environment. Therefore, requires further research that applies the PMRI approach in the learning environment and geometric difficulties can be overcome. 
A Critical Thinking Profile of Mathematics Education Students in Solving Ill-Structured Problem based on Mathematical Ability Jaelani, Abd Kadir; Hasbi, Muhammad; Baharullah, Baharullah
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.13378

Abstract

This study aims to describe the critical thinking profile of mathematics education students in solving ill-structured problems based on mathematical ability. The critical thinking profile in solving the described ill-structured problem consists of several stages, namely (1) Analyze; (2) Browse; (3) Create; (4) Decision-making; (5) Evaluate; and (6) List or with the term A-B-C-D-E plus L based on critical thinking skills, namely (1) Interpretation; (2) Analysis; (3) Conclusion; (4) Evaluation; (5) Explanation; and (6) Self-regulation. The subjects of this study consisted of one student of mathematics education who had the high mathematical ability and one student of mathematics education who had the moderate mathematical ability. They were interviewed based on the results of the Ill-Structured problem-solving. This research used a descriptive qualitative approach. The data obtained were validated, then analyzed with several steps, namely: reduction, data presentation, categorization, interpretation, and inference. The results showed that the mathematics education students carried out critical thinking processes in solving ill-structured problems through six (6) stages, namely: Analyze, Browse, Create, Decision-making, Evaluate, and List or with the term A-B-C-D-E plus L, those which refer to the stages of critical thinking skills, including Interpretation, Analysis, Conclusions, Evaluation, Explanation, and Self-regulation. 
Developing Mathematics Written Communication through Case-Based Learning Suratno, Joko; Hamid, Ikram; Waliyanti, Ida Kurnia
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.13318

Abstract

Mathematical education, as it is now practiced, has many problems. Students that were taught using traditional instruction were only taught to listen. Without the input and feedback of the pupils, the teacher controls the learning process. Students were unable to improve their communication abilities and lacked learning independence. This study aimed to ascertain how case-based learning affected students' mathematics communication skills. The study had a posttest-only design and was a quasi-experimental investigation. The control class received standard instruction, whereas the experiment class received case-based learning instruction. The ability of students to communicate mathematically was the dependent variable in this study. The independent variables in this study were case-based learning and independent variables. Forty-six pre-service mathematics teachers from two full classes served as the research participants in their fifth semester. The tests of prior knowledge and mathematical communication skills were used as study tools. According to the research findings, there is a difference in students' capacity for mathematical communication between those who receive case-based learning instruction and those who receive traditional instruction. The experiment class had better student communication skills than the control group (p-value = 0.047). As a result, case-based learning is one option for enhancing students' communication abilities. 
The Odd Harmonious Labeling of Layered Graphs Firmansah, Fery
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.12506

Abstract

Graphs that have the properties of odd harmonious labeling are odd harmonious graphs. The research objective of this paper is to obtain odd harmonious labeling on layered graph C(x,y) and layered graph D(x,y). The research used in this paper is a qualitative method. The research flow consists of data collection, processing, and analysis. The data collection stage consists of constructing the definition of the new class graph, the data processing stage consists of constructing the vertex labeling and edge labeling, and the data analysis stage consists of constructing the theorem and proving it. The research results show that the layered graph C(x,y) and layered graph D(x,y) fulfill odd harmonious labeling. Such that the layered graph C(x,y) and layered graph D(x,y) are odd harmonious graphs. The benefit of this research is to add new properties of odd harmonious graphs. In addition, it does not rule out the possibility that this research can be developed again both in theory and application.
Implementation of TPACK in Microteaching of Mathematics Education Students Based on Online Learning Platforms Juhaevah, Fahruh; Kaliky, Syafruddin
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.13546

Abstract

The purpose of this study was to determine the effectiveness of the implementation of TPACK in microteaching mathematics education students in terms of differences in online learning platforms. The type of research used in this study is Mixed Method with a Sequential Explanatory design by starting with quantitative data collection and then continuing with qualitative data collection.. The subjects in this study consisted of 12 mathematics students. Subjects were given a TPACK ability test and the opportunity to simulate learning using an online learning platform, then conducted in-depth interviews regarding the implementation results. The results showed that there were differences in the ability to implement student TPACK in microteaching consisting of PCK components including basic skills of explaining and asking, TPK components covering basic skills of explaining and providing reinforcement, TCK components covering basic skills of explaining and providing variations, and TPACK components covering basic skills of opening and closing as well as essential skills of managing small groups. Based on the two platforms used, Moodle is better when compared to Google Classroom in supporting and making it easier for students to implement TPACK when compared to using Google Classroom. Especially in terms of appearance, features, integration with other applications, and storage limits. It can be stated that Moodle is more effective when compared to Google Classroom in implementing TPACK in microteaching.
Cluster Analysis of Environmental Pollution in Indonesia Using Complete Linkage Method with Elbow Optimization Damayanti, Adelia; Utami, Wika Dianita; Novitasari, Dian Candra Rini; Intan, Putroue Keumala; Kurniawan, Mohammad Lail
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.12961

Abstract

The issue of environmental contamination remains unsolved. The problem continues to have a substantial detrimental impact. This research aimed to identify provinces in Indonesia with high or low levels of environmental pollution so that the government may offer treatment to provinces with high levels of pollution and seek a significant reduction in the incidence of environmental pollution in Indonesia. Clustering is required to identify provinces with high and low pollution levels using the complete linkage method because this method can provide tight clusters and is less impacted by outliers. The analysis of the complete linkage method with Elbow optimization revealed two optimal clusters, namely high and low clusters. The high cluster consists of three provinces: Central Java, West Java, and East Java. The low cluster consists of 31 provinces. This research used a Silhouette Coefficient validity test. The value of the Silhouette Coefficient is 0.75. The value indicates that the data object is in the correct cluster and that the cluster structure is relatively strong.

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