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Pythagoras: Jurnal Matematika dan Pendidikan Matematika
Published by Universitas Negeri Yogyakarta
ISSN : 19784538     EISSN : 2527421X     DOI : 10.21831
Core Subject : Education,
Education Mathematics
Arjuna Subject : -
Articles 7 Documents
 1 
Search results for , issue "Vol. 19 No. 1: June 2024" : 7 Documents clear
Analisis Pengaruh Instruksi Pengarahan Guru terhadap Capaian Matematika Siswa Indonesia dengan Model Mediasi Analisis Jalur Viryanto, Ferdy Agus; Kismiantini, Kismiantini
PYTHAGORAS Jurnal Matematika dan Pendidikan Matematika Vol. 19 No. 1: June 2024
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pythagoras.v19i1.67766

Abstract

Data PISA (Programme for International Student Assessment) 2012 menunjukkan skor capaian matematika Indonesia sangat rendah sebesar 378 dan peringkat 64 dari 65 negara sehingga perlu dilakukan identifikasi faktor-faktor yang memengaruhi capaian matematika siswa. Penelitian ini menerapkan model mediasi analisis jalur untuk mengetahui signifikansi pengaruh langsung dan pengaruh tak langsung instruksi pengarahan guru, jenis kelamin, dan status sosial ekonomi terhadap capaian matematika melalui lingkungan belajar dan kepercayaan diri secara serial. Penelitian ini merupakan penelitian kuantitatif dengan data PISA 2012 Indonesia yang diikuti oleh 5622 siswa dari 209 sekolah, tetapi hanya menggunakan sampel dengan jawaban lengkap sebanyak 1805 siswa dengan populasi seluruh siswa Indonesia berusia 15 tahun. Variabel penelitian berupa variabel independen (instruksi pengarahan guru, jenis kelamin, status sosial ekonomi), mediasi lingkungan belajar (dukungan guru, hubungan siswa-guru), mediasi kepercayaan diri (konsep diri, efikasi diri, kecemasan), dan dependen (capaian matematika). Analisis data menggunakan model mediasi analisis jalur dengan metode estimasi parameter maksimum likelihood dan standard error dengan 1000 sampal bootstrap. Model mediasi analisis jalur dalam penelitian ini melibatkan tiga variabel independen, lima variabel mediasi, dan satu variabel dependen dengan variabel mediasinya dimodelkan secara serial, yaitu lingkungan belajar memengaruhi kepercayaan diri. Hasil penelitian menunjukkan bahwa instruksi pengarahan guru memengaruhi capaian matematika siswa melalui lingkungan belajar serta kepercayaan diri (konsep diri dan efikasi diri) secara serial. Selain itu, jenis kelamin siswa memengaruhi capaian matematika siswa melalui dukungan guru serta kepercayaan diri (konsep diri dan efikasi diri) secara serial, sedangkan status sosial ekonomi memengaruhi capaian matematika siswa melalui hubungan siswa-guru serta kepercayaan diri (konsep diri dan efikasi diri) secara serial. PISA (Programme for International Student Assessment) 2012 data shows that Indonesia's mathematics achievement score is very low at 378 and ranked 64th out of 65 countries, so it is necessary to identify factors that influence students' mathematics achievement. This research applies a path analysis mediation model to determine the significance of the direct and indirect effects of teacher-directed instruction, gender, and socio-economic status on mathematics achievement through the learning environment and self-belief serially. This research is quantitative research using PISA 2012 Indonesia data which was attended by 5622 students from 209 schools, but only used a sample with complete answers of 1805 students with a population of all Indonesian students aged 15 years. The research variables are independent variables (teacher-directed instruction, gender, socio-economic status), learning environment mediation (teacher support, student-teacher relations), self-belief mediation (self-concept, self-efficacy, anxiety), and dependent (mathematics achievement) . Data analysis used a path analysis mediation model with the maximum likelihood parameter estimation method and standard error with 1000 bootstrap samples. The path analysis mediation model in this research involves three independent variables, five mediating variables, and one dependent variable with the mediating variable modeled serially, namely the learning environment influences self-belief. The research results show that teacher-directed instruction influences students' mathematics achievement through the learning environment and self-belief (self-concept and self-efficacy) serially. In addition, student gender influences student mathematics achievement through teacher support and self-belief (self-concept and self-efficacy) serially, while socio-economic status influences student mathematics achievement through student-teacher relations and self-belief (self-concept and self-efficacy) serially.
Metric Dimension of Banded-Turán Graph Huda, Muhammad Nurul; Hartono, Hartono
PYTHAGORAS Jurnal Matematika dan Pendidikan Matematika Vol. 19 No. 1: June 2024
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pythagoras.v19i1.68025

Abstract

Given a graph G=(V(G),E(G)). Let S={s1,...,sk} be an ordered subset of V(G). Consider a vertex x, a coordinate of x with respect to S is represented as r(x|S)=(d(x,s1),...,d(x,sk)) where d(x,si) equals the number of edges in the shortest path between x and si for i=1,...,k. The minimum value of k such that for every x has distinct coordinate is called metric dimension of G. Turán graph T(n,r), n>=r>=2  is a subgraph of complete r-partite graph on n vertices having property that the difference of cardinality of any two distinct classes is at most one. In this paper, we build a new graph namely a banded-Turán graph, BT(n,r,m), as a graph built by a Turán graph T(n,r) and r uniform path graphs Pm in which every vertex of each class of T(n,r) connected to an initial vertex of corresponding path graph Pm. Intuitively, this graph illustrates as if a Turán graph is banded by r uniform ropes. We determine some basic graph properties including independence number, chromatic number, and diameter of banded-Turán. The main result in this paper is we obtain that the metric dimension of banded-Turán turns out that it depends on the number of its classes. If it has two classes then the metric dimension is equal to n-1 and if it has more than two classes then the metric dimension is equal to the metric dimension of Turán graph included in it.
Spektrum Laplace Graf Mahkota dan Graf Benteng Triyani, Triyani; Oktriyansa, Resa; Nurshiami, Siti Rahma
PYTHAGORAS Jurnal Matematika dan Pendidikan Matematika Vol. 19 No. 1: June 2024
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pythagoras.v19i1.60818

Abstract

Spektrum dari suatu graf adalah susunan nilai eigen dari matriks ketetanggaan graf beserta multiplisitasnya. Spektrum graf yang dihasilkan dari matriks Laplace disebut spektrum Laplace. Matriks Laplace dari graf diperoleh dari selisih matriks ketetangaan graf dengan matriks diagonal dimana elemen-elemen diagonal utamanya merupakan derajat simpul dari graf. Penelitian ini mengkaji bentuk spektrum Laplace dari graf Mahkota dan graf Benteng. Graf Mahkota adalah graf yang diperoleh dari komplemen hasil perkalian kartesian graf Lengkap K2 dan graf Lengkap Kn. Sementara itu graf Benteng Bnn adalah graf yang diperoleh dari hasil perkalian kartesian dua buah graf Lengkap Kn. Hasil penelitian telah diperoleh polinomial karakteristik dari matriks Laplace untuk graf Mahkota dengan n>=3 dan graf Benteng Bnn dengan n>=2. Lebih lanjut spektrum Laplace dari kedua graf juga telah diperoleh. The spectrum on a graph is a set of eigenvalues of the adjacency matrix along with their multiplicities. The spectrum of a Laplace matrix is called the Laplace spectrum. The Laplace matrix of a graph is obtained from the difference between a adjacency matrix and a diagonal matrix where the elemens of main diagonal are the vertices degree of the graph. This research studied the Laplace spectrum on the crown graph and the rook graph.  A crown graph is a graph obtained from the complement of the cartesian product of complete graph K2 and Kn. Meanwhile, rook graph is a graph obtained from the cartesian product of two complete graph Kn. The results of study are formula of the characteristic polynomial of Laplace matrix for the crown graph with n>=3 and the rook graph with n>=2. Furthermore, the Laplace spectrum of both graphs has also been obtained.
Efektivitas Pembelajaran berbasis Infographic Project ditinjau dari Statistical Reasoning dan Learning Persistence Yuntari, Yustina Hilda; Hamdi, Syukrul
PYTHAGORAS Jurnal Matematika dan Pendidikan Matematika Vol. 19 No. 1: June 2024
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pythagoras.v19i1.76174

Abstract

Penelitian ini bertujuan untuk mendeskripsikan efektivitas pembelajaran berbasis infographic project ditinjau dari statistical reasoning dan learning persistence siswa SMA pada materi Penyajian Data Statistika. Penelitian ini adalah penelitian kuasi eksperimen dengan model pretest-posttest control group design sehingga terdapat kelas eksperimen dan kelas kontrol. Kelas eksperimen menggunakan model pembelajaran berbasis infographic project, sedangkan kelas kontrol menggunakan model pembelajaran ekspositori. Populasi penelitian adalah siswa kelas X di SMA Angkasa Adisutjipto Yogyakarta dengan cluster random sampling. Instrumen penelitian berupa lembar observasi, pretest-posttest kemampuan statistical reasoning, dan angket learning persistence siswa, yang telah divalidasi. Analisis data yang digunakan adalah uji beda rata-rata multivariat T2 Hotteling's dan uji t-test. Hasil penelitian menunjukkan bahwa: (1) terdapat ≥ 75% siswa tuntas mencapai KKTP (minimal 75) dalam kemampuan statistical reasoning; (2) terdapat ≥ 75% siswa memiliki learning persistence pada kategori tinggi (skor angket > 70); (3) terdapat perbedaan rata-rata nilai posttest kedua kelas yaitu rata-rata statistical reasoning dan learning persistence kelas eksperimen lebih tinggi daripada kelas kontrol; (4) nilai rata-rata posttest statistical reasoning kelas eksperimen sebesar 83,27 ≥ 75 (KKTP); dan (5) nilai rata-rata postscale angket learning persistence siswa sebesar 81,44 mencapai kategori tinggi (>70). rata-rata nilai posttest statistical reasoning kelas eksperimen (≥ 75 mencapai KKTP), Sehingga, dapat disimpulkan bahwa pembelajaran berbasis infographic project efektif ditinjau dari statistical reasoning dan learning persistence siswa SMA.
Gamifying Mathematics: A Hermeneutic Phenomenological Study Focused on Role-Playing Games in Linear Equations Fardian, Dilham; Herman, Tatang; Suryadi, Didi; Prabawanto, Sufyani
PYTHAGORAS Jurnal Matematika dan Pendidikan Matematika Vol. 19 No. 1: June 2024
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pythagoras.v19i1.74146

Abstract

The aim of this study is to investigate how the integration of technology, particularly games, in mathematics education serves as an innovation in mathematics learning. The focus of this research is on the integration of technology in mathematics education, particularly concerning the topic of algebra, specifically linear equations in one variable, using gamification media with the assistance of RPG Maker MV application. This research employs a hermeneutic phenomenological approach to understand the subjective meanings contained in individual experiences related to the use of gamification in a learning context. A total of 39 seventh-grade students and 2 educators from a public junior high school in Luwuk were selected as subjects for this study. The research utilized both test and non-test instruments. Data analysis followed the Miles and Huberman model, involving three stages, namely data reduction, data presentation, conclusion drawing. The results showed that the integration of technology, particularly the use of gamification in mathematics education, has received a positive response from students especially in the field of students' interest, collaboration, and motivation and serves as an innovation in mathematics learning. RPG games have great potential to be used as an interactive learning tools in the classroom because they contain various interesting features that support the psychological and cognitive development of students. Researchers are recommended to design a didactic design that integrate technology, ensuring that educational practices are both engaging and effective in enhancing students' learning experiences.
Mathematical Communication Ability of Madrasah Aliyah Students Given Self-Confidence and Learning Independence Handayani, Rizki; Siregar, Nurhasanah; Simanjuntak, Erlinawaty; Molliq, Yulita
PYTHAGORAS Jurnal Matematika dan Pendidikan Matematika Vol. 19 No. 1: June 2024
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pythagoras.v19i1.72580

Abstract

The research aims to ascertain how mathematical communication ability is impacted by self-confidence, how learning independence affects mathematical communication ability, and how self-confidence and learning independence affect mathematical communication ability in 11th-grade students at MA Muhammadiyah 1 Medan in the 2023–2024 academic year. This is a correlational study with a quantitative methodology. This research used cluster sampling, and the total sample size was 31 students. This study collected data using questionnaires and tests. The research instruments used were self-confidence and learning independence questionnaires, as well as mathematical communication ability tests. Multiple regression analysis was used in this study's data analysis procedures. The analysis's findings indicate that self-confidence impacts on mathematics communication with a value of sig. 0.025 and a value of tcount 2.317; learning independence impacts on mathematics communication ability, with a value of sig. 0.12 and the value of tcount 2.512; self-confidence and learning independence positively and significantly impact on mathematics communication ability, with a value of . 0.000; and a coefficient of determination of 0.612, implying that self-confidence and learning independence affect mathematical communication by 61.2%.
Comparative Analysis of Local Polynomial Regression and ARIMA in Predicting Indonesian Benchmark Coal Price Mahadesyawardani, Arinda; Maulidya, Utsna Rosalin; Marbun, Barnabas Anthony Philbert; Pratama, Fachriza Yosa; Chamidah, Nur
PYTHAGORAS Jurnal Matematika dan Pendidikan Matematika Vol. 19 No. 1: June 2024
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pythagoras.v19i1.74889

Abstract

As one of the world's biggest coal producers, it is essential for Indonesia to follow the trend of benchmark coal price fluctuations for any future possibilities. This study compared two methods of forecasting benchmark coal prices to evaluate the accuracy of the predictions used a nonparametric regression based on the local polynomial estimator and a parametric ARIMA method. Local polynomial analysis obtained a MAPE of 2.929278% using a CV method based on optimal bandwidth of 5.06 at order 2 with a cosine kernel, which means highly accurate forecasting accuracy. As for the ARIMA analysis, the data does not meet the assumption of normality, but forecasting is still continued with the best model ARIMA (1,2,1) model so that the MAPE is 12.6327%, which means good forecasting accuracy. Therefore in this study, the use of nonparametric regression methods using local polynomial estimators on data with non-normal distribution are more suitable to obtain accurate prediction results.

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