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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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Mathematical Engagement When Solving Mathematical Problem With Brawijaya Temple Context Based on Mathematical Ability Level Alfaoundra, Valerient Trisna; Hayuhantika, Diesty; Santoso, Achmad Budi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 4, No 2 (2020): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v4i2.2879

Abstract

This research to describe the mathematical engagement of seventh grade junior high school students in problems solving with the theme of Brawijaya Temple with high, medium, and low levels of mathematical ability. This type of research is qualitative research using an exploratory approach. The students used were 6 grade VII students of Junior High School 1 Karangrejo who were students working on problem solving and interviewing. The results showed: (1) mathematical engagement of highly skilled students in  problems solving with the theme of Brawijaya Temple, namely students having the engagement of “get the job”, (2) mathematical engagement of students with moderate abilities in problems solving with the theme of Brawijaya Temple, namely students having engagement is “I am really into this”, (3) Mathematical engagement of students with low abilities in problems solving with the theme of Brawijaya Temple is that students have “pseudo-engagement”.
Analysis of Students' Errors in Solving Word Problems Viewed from Mathematical Resilience Haerani, Agus; Novianingsih, Khusnul; Turmudi, Turmudi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i1.3928

Abstract

Many students in the world have difficulty in solving word problems, including students in Indonesia. TIMSS has shown that only eight percent of Indonesian participants are able to solve word problems, this result is hugely lower than the international average of 18 percent. One of the factors that cause students' errors in solving word problems is mathematical resilience. Thus, this study aims to analyze students' misconceptions in solving word problems viewed by their mathematical strength. This study was conducted for sixth-grade students in one of the elementary schools in Bandung. This study was qualitative descriptive research. In this study, there were four steps: selecting the word problems, answering the issues, filling out a mathematical resilience questionnaire, and interviewing. Students were encouraged to respond to a three-word question within 30 minutes, filling out a mathematical resilience questionnaire followed by the interview. This study showed that the students' errors in solving word problems were including comprehension, transformation, and process skill errors. Based on mathematical resilience, students with a low level of resilience predominantly carried out comprehension errors. In contrast, students with a moderate level of resilience more dominant made transformation errors. Meanwhile, students with high resilience completed more questions correctly, although several students seemed to have made process skills errors. This study's limitation is the data obtained online so that the respondents completed the instrument exceeds the given time. Further researches are suggested to conduct directly in the classroom to maximize the accuracy of the study.
Blended Learning Strategies of Telegram-Assisted Learning Towards Student Mathematics Learning Results Reviewed from Learning Style Suryati, Kadek; Adnyana, I Gede
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 4, No 2 (2020): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v4i2.2438

Abstract

The research aims to describe the influence of telegram-assisted blended learning strategies on mathematics learning outcomes in terms of learning styles. This research is a quasi-experimental research using 2x3 factorial design. The respondents taken is the second semester students majoring in informatics engineering at the STMIK STIKOM Indonesia campus. The sampling procedure in this study was a random sampling technique that was started by carrying out the equivalency test of 4 classes taken using the one-way ANOVA test. After that randomly selected, two classes as an experimental class and two classes as a control class. To get instruments that have validity before use, questionnaires and tests are first tested and validated by experts who are experts in their fields. Normality and homogeneity tests are needed as a prerequisite before analyzing the data. The method used to analyze data is two-way ANOVA. The results showed that (1) student mathematics learning outcomes taught with telegram-assisted blended learning strategies were better than conventional mathematics learning outcomes of students taught, (2) the effect of telegraph-assisted blended learning strategies on student mathematics learning outcomes in learning styles. Based on the results of the research that has been carried out, it is recommended that further researchers or educators be able to develop a blended learning strategy as a way to convey learning material so that they can pay more attention to the learning styles of each student and can develop telegrams with more attractive features so that the telegram becomes one of online application for learning media.
Using Problem-Based Learning to Enhance Mathematical Abilities of Primary School Students: A Systematic Review and Meta-Analysis Suparman, Suparman; Tamur, Maximus; Yunita, Yunita; Wijaya, Tommy Tanu; Syaharuddin, Syaharuddin
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i1.3806

Abstract

Several inconsistent research results regarding the effect of Problem-Based Learning (PBL) in enhancing Mathematical Abilities (MA) of primary school students have been reported widely by some researchers. To summarize, estimate, and evaluate the effect of PBL on MA of primary school students and investigate the study characteristics that provoked the heterogeneous effect size, a systematic review and meta-analysis was employed. Hedge's equation was employed to measure effect size using Comprehensive Meta-Analysis (CMA) software as an analysis tool. The synthesis of 16 relevant primary studies revealed that the overall implementation of PBL had a high positive effect (g = 1,050) significantly compared to conventional learning on MA of primary school students based on a random effect model. Moreover, the characteristics of the sampling technique, publication index, and MA significantly caused the heterogeneity of the effect size of PBL towards students' MA. Thus, these results suggest that primary school mathematics teachers should select PBL as one of the best solutions to enhance students' MA and consider the characteristics of students MA that will be improved. Besides, researchers should select random sampling as a sampling technique to select the sample and the literature indexed by Scopus as references to support the quality of research.
Optimization of Surface Roughness of AISI P20 on Electrical Discharge Machining Sinking Process using Taguchi Method Rachman, Farizi; Purnomo, Dhika Aditya; Fajardini, Ridhani Anita; Umami, Rena Riza
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i1.3291

Abstract

This research aims to obtain optimal value for the surface roughness of the material AISI P20 on the Electrical Discharge Machining (EDM) Sinking process. In the present research, the Taguchi method is used to investigate the significant influence of process variables on the machining performance and determine the combination of process variables on the EDM process. Orthogonal array L18 (21 × 33) based on the Taguchi method is chosen for the design of experiment. The experiment is replicated twice to finding out the influence of four process variables such as type of electrode, voltage gap, on-time, and off-time on the response performance. Machining performance is evaluated by surface roughness as a response variable that had quality characteristics, smaller is better. These experimental data were analyzed using the Signal-to-noise ratio and Analysis of Variance. The analysis results show that the surface roughness is influenced by the type of electrode and on time. Combination of process variables to obtain optimal surface roughness are using graphite electrodes, and setting values of gap voltage 40 volt, on-time 250 μs, and off-time 20 μs. This combination of process variables can be applied to the manufacturing process using EDM sinking in order to produce a good quality product that determined based on the surface roughness value.
Habits of Mind Strategies for Enhancing Students’ Math Problem Solving Skills Habibi, Mhmd; Lasia, Dwi; Oktafia, Mesi; Ilham, Muhammad
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 4, No 2 (2020): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v4i2.2590

Abstract

The objective of this research is to know the differences in mathematical problem solving skills between using mathematical habits of mind strategy with conventional learning. Methods that is used is quasi-experimental, with non-equivalent control group design.  The subject of this study was a 7th grade junior high school student with 56 number of people which were 12th-13th years old. with sampling techniques i.e. purposive sampling. Instruments that is used in this research is description test which was arranged based on mathematical problem solving skills material. Data analysis technique is with N-Gain T-test. The result show that the significant N-Gain score obtained is 0.008. The N-Gain score is smaller tha (α = 0.05), which means that there is a significant difference in the increase in mathematical problem solving abilities toward participant student who use mathematical habits of mind strategies with those using conventional learning. statistically proven habits of mind strategy that influences problem solving can be one of the practitioners' choices in teaching mathematics in basic education.
Self-Regulated Learning of Mathematics for Teacher Prospectives in the Development of Student E-Worksheets Kusno, Kusno; Setyaningsih, Eka
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i1.3911

Abstract

This research is motivated by demands for mastery of 21st-century skills as a form of educational reform in the 4.0 era. This study aims to explore the understanding and skills of the prospective mathematic teacher in the development of the student e-worksheet as a form of teacher skills in the 21st-century. A total of 27 math teacher candidates in Banyumas Regency, Central Java, Indonesia, who took part in training teaching material development, was formed into 9 Groups (G) and was given the task to develop student e- worksheet of mathematics of junior high school. Data were collected through observation, interviews, self-reflection, open questionnaires, and portfolios and analyzed using content analysis procedures by reading carefully to understand relevant themes. The coding and labeling are then carried out to find the meanings associated with the research objectives and theoretical framework. This study's results indicate that self-regulated learning of prospective mathematics education teachers in the development of student e-worksheet can encourage motivation to learn, self-confidence, experience, and determination to become professional teachers in the 21st century. From this study, an understanding and skill of the century 21can be explored from self-regulated learning during the development of student e- worksheet, namely collaboration and communication skills, problem-solving, creativity and imagination, innovation, and novelty, literacy, and leadership.
Electronic Magazine Development in Mathematics Learning Komarudin, Komarudin; Suherman, Suherman; Puspita, Laila; Savitri, Indy Alda
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 4, No 2 (2020): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v4i2.1947

Abstract

The purpose of this study was to develop a teaching material in the form of an electronic magazine in mathematics learning. This study uses research and development methods. The development procedure used is the ADDIE (Annalyze, Design, Development, Implementation, Evaluation) development model procedure. Data collection techniques used were observation, questionnaires and tests. The sample used was class VII SMP (Junior High School). The data analysis technique used is the t test. Based on the results of the validation carried out the media developed obtained very appropriate criteria by experts (media experts and material experts). Judging from the attractiveness of the results obtained from 2 large-scale trials and small-scale electronic magazines that were obtained obstained very interesting criteria. Based on the results of the t-test it was found that the learning outcomes of students using electronic electronic magazines were better than the learning outcomes of students who did not use mathematical electronic magazines. Based on this, it can be concluded that electrochemical magazines in mathematics learning developed can be used as mathematical learning aids.
Basic Reproduction Number of Tuberculosis Spread Model in Lamongan With DOTS Strategy Alfan, Aris; Resmi, Fitroh; Dewi, Nihaya Alivia Coraima
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i1.3696

Abstract

Tuberculosis (TB) will be a serious threat if not handled quickly and appropriately. The relatively long treatment in time and the high risk of death is a challenge in controlling the spread of this disease. The DOTS (Directly Observed Treatment Short-course) strategy is considered capable of controlling the spread of TB because of the high success rate, reaching 91%. The mathematical model of the spread of TB has been widely studied to determine the potential for the spread of this disease in an area. The purpose of this study is to build a model of tuberculosis spread in Lamongan to determine the rate of its spread and to predict whether it will be endemic or not. Using disease spread mathematical model type SEITR, this research has examined based on 2018 and 2019 data from the Lamongan health office then simulates the result. The research begins with the construction of the model followed by a stability analysis of the model by determining the basic reproduction number ( ), which is simulated after the parameter approach was carried out. From the simulation results, the result shows that   means that TB will not endemic in Lamongan. Besides, the results of the effect of parameter ω on I(t) were obtained, which concluded that seeking and treating active TB alone would only reduce infected individuals but not reduce the length of time TB spread. Identification of the effect of parameter φ on I(t) has also been carried out which results in the conclusion that more treatment for susceptible individuals, in addition to reducing the number of infected individuals, will also reduce the length of time TB spreads in that area. This result will be a good suggestion for the government to deal faster with tuberculosis transmission.
Investment Risk Analysis On Bitcoin With Applied of VaR-APARCH Model Kasse, Irwan; Mariani, Andi; Utari, Serly; D., Didiharyono
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i1.3220

Abstract

Investment can be defined as an activity to postpone consumption at the present time with the aim to obtain maximum profits in the future. However, the greater the benefits, the greater the risk. For that we need a way to predict how much the risk will be borne. Modelling data that experiences heteroscedasticity and asymmetricity can use the Asymmetric Power Autoregressive Conditional Heteroscedasticity (APARCH) model. This research discusses the time series data risk analysis using the Value at Risk-Asymmetric Power Autoregressive Conditional Heteroscedasticity (VaR-APARCH) model using the daily closing price data of Bitcoin USD period January 1 2019 to 31 December 2019. The best APARCH model was chosen based on the value of Akaike's Information Criterion (AIC). From the analysis results obtained the best model, namely ARIMA (6,1,1) and APARCH (1,1) with the risk of loss in the initial investment of IDR 100,000,000 in the next day IDR 26,617,000. The results of this study can be used as additional information and apply knowledge about the risk of investing in Bitcoin with the VaR-APARCH model.

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