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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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Mathematic Resilience Ability of Students in Linear Program Material with Blanded Learning in the Era of Pandemic Laelasari, Laelasari; Darhim, Darhim; Prabawanto, Sufyani
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.6961

Abstract

Mathematical resilience is a multidimensional construct in positive psychology focusing on mental health. The education system in Indonesia changed the 2019 Novel Coronavirus (COVID-19) pandemic. This pandemic event provides an opportunity for academics to take further academic decisions in the future. Good mathematical resilience skills are needed to prepare students to carry out the Tri Dharma of Higher Education. The purpose of this study is to comprehensively examine mathematical resilience skills using a blended learning model during a pandemic. This type of research uses case study research and is descriptive. The research was conducted on fourth-semester students of the 2020-2021 academic year at a private university in Cirebon, West Java, with research subjects consisting of 37 students. The data was obtained from a mathematical resilience questionnaire in linear program lectures using a blended learning model. Collecting data using a questionnaire instrument was analyzed using the formula for the distribution of frequencies and percentages. The results showed that students' mathematical resilience skills using blended learning in the Linear Program courses during the Covid-19 pandemic were good; previous research on the Linear Program courses obtained good results of resilience abilities but in different samples. The existence of the Covid-19 pandemic does not have much effect on mathematical resilience abilities. 
Dominant Factor were Caused Eight Grade Students Errors in Solving on Cartesian Coordinate Multistep Routine and Non-Routine Modification Story Problems Hendrayanto, Dhani Nur; Riyadi, Riyadi; Indriati, Diari
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7313

Abstract

Giving a high level modification story problems with multistep routine and non-routine problems in cartesian coordinate learning is an effort to achieve optimal learning and also important because it has good effect for students. Less than optimal learning of cartesian coordinates for eight grade it was usually represented by the frequent of student errors occurrence on an ongoing basis in solving on mathematical problems in assignments and daily tests. This research purpose was to reveal the dominant factor were caused eighth grade student errors in solving on cartesian coordinate multistep routine and non-routine modification story problems. This research is a descriptive qualitative in type. Research data collection based on survey, interview, test and documentation.  The research subjects in this research were eight grade students of SMPN 4 Wonosobo. In this research 18 students of  eight grade students SMPN 4 Wonosobo as the research sample. The sampling technique it was used in this research is purposive sampling. The results of this research indicate the dominant factor were caused eighth grade student errors in solving on cartesian coordinate multistep routine and non-routine modification story problems is students difficulties.  Students difficulties such as compiling steps to solve problems in the form of multistep story problems, understanding the position conception of starting point with a certain point, understanding the conception of a perpendicular lines and a parallel lines to the X and Y axis, determining the distance of a point to certain point. The implication of this research is can obtain information about the dominant factor were caused student errors in solving on cartesian coordinate multistep routine and non-routine modification story problems as the relation to the current idealization of mathematics learning optimization and can be able for planing another appropriate and solution steps for the implementation of mathematics learning in an effort to minimize student errors.
Algebraic Literacy among Pesantren-based Senior High School Students Utomo, Dwi Priyo; Sulfiah, Sitti Karimah; Inganah, Siti
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.6746

Abstract

Mathematics is a vital means needed by students to solve various problems, both personal and social, and it is required to succeed in work. Thus, students are highly expected to possess good mathematical literacy. In the 21st Century, most of parents would rather choose pesantren-based schools for their children since they believe that theirs will have chance to acquire universal and religious sciences, at once, for their life. Further, the current research was aimed to investigate level of algebraic literacy among pesantren-based senior high school students, along with its determinant factors. Qualitative research method was employed by means of descriptive approach. Moreover, there were 30 students involved in the research; all of which were the twelfth graders of Science Class of a pesantren-based senior high school in Madura, Indonesia. To collect data, two instruments were used: algebraic literacy test and guideline to interview with the Math teacher and the Vice Principal of Curriculum Affairs. The results showed that level of algebraic literacy among students was dramatically low, with 94% of whom classified in below Level 1, 3% in Level 2, and 3% in Level 3. Moreover, lack of student’s focus in learning Mathematics was one of possible causes of it as the students were strongly demanded to learn about two major sciences at once. Therefore, any endeavors for betterment from the teacher and institution are needed to make algebraic literacy among students get improved; one of which can be by integrating pesantren and national education curricula.
Quantity Content: Developing Mathematics PISA-Like Problems with Independence Day Contest Context Fadlila, Nindy; Wijaya, Ariyadi; Hilmi, Irfan
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7475

Abstract

PISA is an international scale assessment in which it measure mathematical literacy skills. Indonesia was one of the participants who took part in the PISA assessment. PISA results show that Indonesia is still at a low level. In fact, some study show that the ability of Indonesian students to solve PISA questions on the quantity content of students is not good and is still low compared to other content. This research aims to produce PISA-Like math questions with Quantity content that are valid, practical and have a potential effect on mathematical literacy skills. This research using a development research which consists of preliminary, self-evaluation, expert review, one-to-one, small group, and field test stages. The subjects in this study were students of class IX-4 SMP inone of the junior high schools in Medan. The results of this study are PISA-Like questions with Quantity content in valid and practical criteria. From the analysis of students’ answers regarding the potential effect involved in mathematical literacy, the results show that students involve communication skills, reasoning and argument skills, mathematical abilities, representation abilities, devising strategies for solving problems, and using symbolic, formal skill, and technical language and operations. 
Numeracy Literacy in Early Childhood: An Investigation in Arithmetic, Geometry and Patterns in Early Stage Nur, Iyan Rosita Dewi; Herman, Tatang; Dahlan, Tina Hayati
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7007

Abstract

Early childhood education is a coaching effort carried out for children from birth to the age of six by providing educational stimuli in helping their physical and spiritual growth and development with the aim that children have maximum readiness to enter higher education levels. Numerical literacy in early childhood can be used as a tool used in developing thinking skills in children, supporting children in developing various talents or intellectual potentials they have and can be used as a means of cultivating a positive affective side in instilling basic personalityThis study aims to describe a numeracy literacy skills in early childhood students. The research method used is descriptive qualitative. Researchers used purposive sampling to take research subjects, and obtained as many as 28 PAUD students, and from 28 people 3 people were taken to be analyzed in depth related to their numeracy literacy skills. Instruments in this research are observation, test, Interview, and dokumentation. Data analysis techniques in this study include data reduction, data presentation, and conclusions. The results of research that have been done show that numeracy literacy in early childhood aged 5-6 years of arithmetic, geometry and patterns as follows: (1) Be able to name the symbols of numbers 1-20, (2) Have the ability to using number symbols to calculate, (3) Able to match numbers with number symbols and recognize differences based on "more than"; "less than"; and "most”, (4) Able to classify objects based on color, shape and size (3 variations), (5) Have the ability to sort objects by size from smallest to largest or vice versa,  (6) Can estimate the next pattern after seeing the shape of more than 3 consecutive patterns (7) Meets errors in writing number symbols due to the accumulation of information received by the brain. This happens because at the same time, the brain receives information in the form of numeric symbols in Arabic and number symbols in general at the same time, (8) Numeracy literacy activities in the pandemic period for early childhood can still be done one of them with learning involving the environment which without eliminating the element of play but still able to facilitate the development of children.
Teachers Promoting Mathematical Reasoning in Tasks Mastuti, Ajeng Gelora; Abdillah, Abdillah; Rijal, Muhammad
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7339

Abstract

The phenomenon today in schools is that teachers rarely build student arguments but only accept students' answers. However, teacher activities that always make students 'arguments and support each solution and defend students' arguments without long debates are relevant and exciting to study. This study aims to explain and explore the promotion of mathematics teacher reasoning in tasks in the classroom. The author surveyed teachers who teach mathematics at the junior high level. This research is a qualitative descriptive study with an experimental research design, which begins with a survey of teachers who teach mathematics at the junior high school level in Maluku Province. First, the authors conducted initial observations for one month in several junior high schools in Maluku Province with the guide of the observation instrument for the promotion of teacher reasoning in learning. Second, the writer states that there are three groups of attractive teachers who can promote mathematical reasoning in each of their teachings based on indicators of teachers' mathematical reasoning. Third, the writer created the same math problems for the three teachers and observed how they built students' reasoning and evaluated their thinking efficiently. Finally, the results and surveys were carried out by triangulation with direct trials on seven classes at the junior high level. The results show how teacher actions promoting mathematical reasoning give generalizations or justifications. Teacher actions supporting precise rationale are discussed in more detail in this article. 
The Decomposition of a Finitely Generated Module over Some Special Ring Wardhana, I Gede Adhitya Wisnu
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.6769

Abstract

This research aims to give the decompositions of a finitely generated module over some special ring, such as the principal ideal domain and Dedekind domain. One of the main problems with module theory is to analyze the objects of the module. This research was using a literature study on finitely generated modules topics from scientific journals, especially those related to the module theory. And by selective cases we find a pattern to build a conjecture or a hypothesis, by deductive proof, we prove the conjecture and state it as a theorem. The main result in this study is the decomposition of the finitely generated module is a direct sum of the torsion submodule and torsion-free submodule.  Since the torsion-free module is always a free module over a principal ideal domain, then the torsion-free submodule is a free module. Last, we generalize the ring, from a principal ideal domain, to a Dedekind domain. We found then the torsion-free submodule became a projective module.  Then the decomposition of the finitely generated module is a direct sum of the torsion submodule and the projective submodule. These results should help the researchers to analyze the objects on module theory. 
Solution of the Second Order of the Linear Hyperbolic Equation Using Cubic B-Spline Collocation Numerical Method Kharisa, Aflakha; Maryani, Sri; Nurhayati, Nunung
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7496

Abstract

Wave equation is one of the second order of the linear hyperbolic equation. Telegraph equation as a special case of wave equation has interesting point to investigate in the numerical point of view. In this paper, we consider the numerical methods for one dimensional telegraph equation by using cubic B-spline collocation method. Collocation method is one method to solve the partial differential equation model problem. Cubic spline interpolation is an interpolation to a third order polynomial. This polynomial interpolate four point. B-Spline is one of spline function which related to smoothness of the partition. For every spline function with given order can be written as linear combination of those B-spline. As we known that the result of the numerical technique has difference with the exact result which we called as, so that we have an error. The numerical results are compared with the interpolating scaling function method which investigated by Lakestani and Saray in 2010. This numerical methods compared to exact solution by using RMSE (root mean square error), L2 norm error and L_∞ norm error . The error of the solution showed that with the certain function, the cubic collocation of numerical method can be used as an alternative methods to find the solution of the linear hyperbolic of the PDE. The advantages of this study, we can choose the best model of the numerical method for solving the hyperbolic type of PDE. This cubic B-spline collocation method is more efficiently if the error is relatively small and closes to zero. This accuration verified by test of example 1 and example 2 which applied to the model problem.
A framework for Assessing Translation among Multiple Representations Andriani, Parhaini; Kurniawati, Kiki Riska Ayu; Afriyani, Dona
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7193

Abstract

Translation among multiple representations is one of the important abilities to be possessed by prospective mathematics teachers. The mathematics learning curriculum ranging from elementary to college level needs to emphasize the ability to translate mathematical ideas in a form of representation to different mathematical representation structures. Assessing of this ability is important because it can be used as a basis for developing other mathematical literacy skills. The purpose of this study is to describe the level of translation between mathematical representations of prospective mathematics teachers. A descriptive qualitative study was conducted to fourty prospective mathematics teachers in State Islamic University of Mataram. The selection of research subjects was carried out in a purposive sampling. Data were obtained from mathematical translational thinking task in the form of an assignment sheet consisting of 2 questions related to quadratic equations and task-based interviews. Data were analyzed using fixed comparison analysis, which is comparing incidents (phenomena) with the aim of classifying data. The study found five levels of translational ability between mathematical representations, which were named: level 0, level 1, level 2, level 3 and level 4. The characteristics of each level are built based on four mathematical translational thinking processes: unpacking the source of representations, coordinating initial stage, design the target representation and determine the equivalence between the source and target representations. The findings in this study could be used as a guide to develop an instrument to assess mathematical translation ability.
Learning Mathematics Through Videos Lines and Angles: How to Analyze Students' Understanding of Mathematical Concepts? Rohmah, Riska Nur; Setyaningrum, Wahyu
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7403

Abstract

The use of technology through learning videos has a high-quality impact on students' understanding of mathematical concepts. However, the facts show that the use of learning videos has not been fully utilized, especially in the lines and angles material. The purpose of this research is to determine and describe students' understanding on lines and angles concepts through the use of instructional videos. This study is a qualitative descriptive approach which employed interviews of students' conceptual understanding after their taking a test. This research involved two seventh-grade students of a junior high schools in Tulungagung, namely AL and YL. Both research subjects have studied the material of lines and angles in mathematics learning through the use of mathematics learning videos. The two students in this study were also students with high learning achievement categories. The results obtained from this study stated that the average ability of students to understand mathematical concepts was 80 out of a maximum score of 100 which can be categorized a good level of conceptual understanding. This implies that mathematics learning videos can be used as an alternative for teachers and other researchers in conveying material, and training students' abilities in understanding mathematical concepts, especially lines and angles material. As for further research, students' ability to understand mathematical concepts can be supported by using worksheets, media, or other learning approaches on lines and angles material. 

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