Jurnal Ilmiah Soulmath : Jurnal Edukasi Pendidikan Matematika

Kajian Teori: Pandangan Vygotsky Dalam Pembelajaran Matematika Menggunakan Problem Posing Di Kurikulum Merdeka

Esty Saraswati Nur Hartiningrum, Abdul Wahab — Thu, 28 Mar 2024 09:54:20 +0700

The mathematics learning approach involving Vygotsky's views and the application of the problem posing method in the context of the Independent Curriculum has attracted the attention of educational researchers. Vygotsky's views and Piaget's theory are constructivist, with a connecting line between the cognitive flow and the social approach, where constructivism has similarities with the social approach. This research aims to explore key concepts from Vygotsky's theory in mathematics learning, with a focus on the problem posing approach in the newly implemented curriculum. Descriptive methods are used to analyze Vygotsky's views in the context of solving mathematical problems using a problem posing approach. The main references in this research are articles published in international and national journals indexed at least SINTA 4. The results of this research are expected to provide deeper insight into how Vygotsky's concepts can be applied in creative and student-centered mathematics learning in Independent Curriculum

Keywords: Vygotsky, problem posing, mathematics learning, independent curriculum

Pendekatan pembelajaran matematika yang melibatkan pandangan Vygotsky dan penerapan metode problem posing dalam konteks Kurikulum Merdeka telah menarik perhatian para peneliti pendidikan. Pandangan Vygotsky dan Teori Piaget merupakan aliran kontruktivis, dengan garis penghubung aliran kognitif dan pendekatan sosial, dimana kontrukstivis memiliki kesamaan dengan pendekatan sosial. Penelitian ini bertujuan untuk mengeksplorasi konsep-konsep kunci dari teori Vygotsky dalam pembelajaran matematika, dengan fokus pada pendekatan problem posing dalam kurikulum yang baru diimplementasikan. Metode deskriptif digunakan untuk menganalisis pandangan Vygotsky dalam konteks pemecahan masalah matematika dengan pendekatan problem posing. Referensi utama dalam penelitian ini adalah artikel-artikel yang terpublikasi dalam jurnal internasioanl dan nasional yang terindeks minimal SINTA 4. Hasil penelitian ini diharapkan dapat memberikan wawasan yang lebih dalam tentang bagaimana konsep-konsep Vygotsky dapat diaplikasikan dalam pembelajaran matematika yang kreatif dan berpusat pada siswa pada Kurikulum Merdeka

Kata Kunci: Vygotsky, problem posing, pembelajaran matematika , kurikulum merdeka

Prediksi Indeks Standar Pencemar Udara (ISPU) di Kota Surabaya Menggunakan Rantai Markov Waktu Diskrit

Fri, 30 Aug 2024 00:00:00 +0700

Abstract

The Air Pollution Standard Index (API) is a numerical measure that indicates air quality conditions at a specific location. Poor air quality can significantly impact health. APIs monitored and reported through the Air Quality Monitoring Station (AQMS) display API numbers and categories such as good, moderate, unhealthy, very unhealthy, and hazardous. Since API values can change over time, long-term air quality predictions are essential for implementing preventive measures. In this research, we use a Discrete-Time Markov Chain (DTMC) to observe state transitions based on the API in Surabaya from January 2019 to November 2023. A 3×3 transition probability matrix is obtained, fulfilling the Markov property with state space corresponding to the API categories present in the data. We analyze the Markov chain corresponding to occupancy time and limiting behavior. The classification reveals that the Markov chain is irreducible and aperiodic, ensuring a unique limiting distribution. Subsequently, we develop a DTMC model to predict data for December 2023, covering 31 days. The prediction results are compared with actual data for December 2023. Evaluation metrics include Mean Absolute Percentage Error (MAPE) and Root Mean Squared Error (RMSE) and we get a MAPE of 4.8387% and an RMSE of 0.3111.

Keywords: Air Pollution Standard Index (API); Air quality prediction; Discrete Time Markov Chains; Transition probability.

Abstrak

Indeks Standar Pencemar Udara (ISPU) merupakan nilai yang menunjukkan kondisi kualitas udara pada lokasi tertentu. Kualitas udara yang buruk dapat memberikan dampak yang berbahaya bagi kesehatan. ISPU yang dipantau dan dilaporkan melalui Stasiun Pemantau Kualitas Udara (SPKUA) dapat menampilkan nilai dan kategori ISPU, yaitu baik, sedang, tidak sehat, sangat tidak sehat, dan berbahaya. ISPU dapat berubah seiring berjalannya waktu sehingga diperlukan prediksi kualitas udara untuk jangka panjang agar dapat dilakukan tindakan pencegahan. Pada penelitian ini digunakan rantai Markov waktu diskrit untuk mengamati transisi keadaan berdasarkan ISPU di Kota Surabaya mulai Januari 2019-November 2023. Diperoleh matriks probabilitas transisi berukuran 3×3 yang memenuhi properti Markov dengan ruang keadaan berupa kategori ISPU yang muncul pada data. Analisis yang dilakukan pada rantai markov adalah waktu okupansi dan limiting behavior. Dari hasil analisis menunjukkan bahwa rantai Markov ini bersifat irreducible dan aperiodik sehingga distribusi limitnya ada dan tunggal. Selanjutnya matriks probabilitas transisi yang telah dibuat digunakan untuk memprediksi data pada bulan Desember 2023 yang berjumlah 31 hari. Hasil prediksi dibandingkan dengan data aktual yaitu data bulan Desember 2023. Evaluasi tersebut menggunakan Mean Absolut Percentage Error (MAPE) dan Root Mean Squared Error (RMSE dan didapatkan MAPE 4.8387% dan RMSE 0.3111.

Kata Kunci: Indeks Standar Pencemar Udara (ISPU);Prediksi kualitas udara; Probabilitas transisi; Rantai Markov waktu diskrit.

Pengembangan Media Pembelajaran Matematika Berbasis Android Menggunakan I-Spring Suite Pada Materi Turunan Fungsi Aljabar

Michael Marselino Rihi, Juliana M.H Nenohai, Imelda Hendriani Eku Rimo — Fri, 18 Oct 2024 09:00:34 +0700

Abstract

One form of technology utilization in the world of education, especially in the learning process, is the development of learning media based on android applications. In the mathematics learning activities that occur at SMA Negeri 4 Kupang, especially in grade XI, educators use PPT and teaching materials as tools in learning, but the media is less interactive because it is still limited to ordinary PPT, so that the lack of enthusiasm of students in the learning process has an impact on the low interest and learning outcomes of the students themselves. This is also one of the factors that learning in the classroom is not carried out properly due to the inappropriate use of learning media. Therefore, the purpose of this research is to be able to create an android-based mathematics learning media with the help of the I-Spring suite on the derivative material of the algebra function of class XI at SMA Negeri 4 Kupang which is valid, practical, and effective which is then named the Nubar Application (turuNUnan aljaBAR). Research and development (R&D) is a method used in this study by applying the ADDIE development model, namely analysis, design, development, implementation and evaluation. In this study, data was obtained through interviews, questionnaires and learning outcome tests. The data analysis techniques used are qualitative data analysis and quantitative data analysis. From the research that has been carried out, it shows that the Nubar Application that has been developed has entered the eligibility criteria for learning media, namely valid, practical and effective.

Keywords: Algebra Function Derivation; Android-Based Learning Media; Development; I-Spring Suite.

Abstrak

Salah satu bentuk pemanfaatan teknologi dalam dunia pendidikan terkhususnya dalam proses pembelajaran yaitu, pengembangan media pembelajaran berbasis aplikasi android. Dalam kegiatan pembelajaran matematika yang terjadi di SMA Negeri 4 Kupang khususnya di kelas XI pendidik menggunakan PPT dan bahan ajar sebagai alat bantu dalam pembelajaran, namun media tersebut kurang interaktif dikarenakan masih terbatas pada PPT biasa, sehingga kurangnya antusias peserta didik dalam proses pembelajaran yang berdampak pada rendahnya minat serta hasil belajar peserta didik itu sendiri. Hal ini juga menjadi salah satu faktor pembelajaran di kelas tidak terlaksana dengan baik dikarenakan Penggunaan media pembelajaran yang kurang tepat. Oleh sebab itu, tujuan dari riset ini ialah dapat menciptakan sebuah media pembelajaran matematika yang berbasis android dengan bantuan I-Spring suite pada materi turunan fungsi aljabar kelas XI di SMA Negeri 4 Kupang yang valid, praktis, dan efektif yang kemudian diberi nama Aplikasi Nubar (turuNUnan aljaBAR). Research and development (R&D) merupakan metode yang diapakai dalam penelitian ini dengan menerapkan model pengembangan ADDIE, yaitu analisis, desain, pengembangan, implementasi dan evaluasi. Dalam penelitian ini, data diperoleh melalui wawancara, angket dan tes hasil belajar. Adapun teknik analisis data yang dipakai yaitu analisis data kualitatif dan analisis data kuantitatif. Dari penelitian yang telah dilaksanakan, menunjukan bahwa Aplikasi Nubar yang telah dikembangkan telah masuk kriteria kelayakan media pembelajaran yaitu valid, praktis dan efektif.

Kata Kunci: I-Spring Suite; Media Pembelajaran berbasis Android; Pengembangan; Turunan Fungsi Aljabar

Pengembangan Lembar Kerja Peserta Didik Berbasis Game Tradisional Congklak Menggunakan Metode Peer Tutoring

Donna Pratiwi Setyowardany, Wasilatul Murtafiah, Vera Dewi Susanti — Wed, 13 Nov 2024 09:07:23 +0700

Abstract

This study aims to development of teaching materials for learning mathematics in the field of LKPD. LKPD based on the traditional game congklak which uses the peer tutor method and is integrated with cultural elements is developed to support the learning process, increase students' motivation in learning activities, and introduce traditional game. The type of research used is development with the 4D research method (Define, Design, Development, Disseminate). This research was conducted at SMPN 1 Jiwan with research subjects of seventh grade students. The data collection techniques used were interviews, documentation, questionnaires, and tests. The instruments used were product validation sheets, student response questionnaire validation sheets, questionnaire validation questions, student response questionnaire sheets, and test questions. Based on the data obtained, it shows that the LKPD based on traditional congklak game using the peer tutor method meets the criteria of valid, practical, and effective so that it is feasible to use as teaching material in the mathematics learning processes that serve to increase student learning motivation.

Keywords: LKPD, Games, Congklak, Peer Tutoring, Teaching Materials

Abstrak

Penelitian ini memiliki tujuan guna mengembangkan bahan ajar pembelajaran matematika berupa LKPD. LKPD berbasis permainan tradisional congklak, yang menggunakan metode peer tutoring dan dipadukan dengan unsur budaya, dikembangkan untuk mendukung proses pembelajaran, meningkatkan motivasi peserta didik dalam pembelajaran, serta memperkenalkan permainan tradisional. Jenis penelitian yang digunakan adalah piengiembangan diengan mietodie pienielitian 4D (Diefinie, Diesign, Dievielopmient, Dissieminatie). Pienielitian ini dilakukan di SMPN 1 Jiwan diengan subjiek penelitian adalah piesierta didik kielas VII. Tieknik piengumpulan data yang digunakan yaitu wawancara, dokumientasi, angkiet, dan ties. Instrumien yang digunakan adalah liembar validasi produk, liembar validasi angkiet riespon piesierta didik, angkiet validasi soal, liembar angkiet riespon piesierta didik, dan soal ties. Bierdasarkan data yang didapat mienunjukkan bahwa LKPD bierbasis gamie tradisional congklak mienggunakan mietodie pieier tutoring miemienuhi kritieria valid, praktis, dan iefiektif siehingga layak digunakan siebagai bahan ajar dalam pembelajaran matematika yang berfungsi meningkatkan motivasi belajar peserta didik.

Kata Kunci: LKPD, Game, Congklak, Peer Tutoring, Bahan Ajar

On The Edge Irregular Reflexive k-Labeling of Some Cartesian Product Graphs

Merlinda Rosita, Marsidi Marsidi, Dwi Noviani Sulisawati, Ika Hesti Agustin — Fri, 15 Nov 2024 01:24:02 +0700

Let G be a connected and simple graph with vertex set V(G) and edge set E(G). For a graph G, we define k-labeling such that the edges of G are labeled with integers {1,2,3,....,k_e} and the vertices of G are labeled with even integers {0,2,4,....,2k_v}, where k=max{k_e, 2k_v}. If there is a different weight for all edges, then the labeling is called edge irregular reflexive k-labeling. The weight of edge xy, notated by wt(xy) is defined as a sum of label of x, label of xy, and label of y. The minimum k for which G has an edge irregular reflexive k-labeling is defined as reflexive edge strength of G, symbolized by res(G). In this research, we determined the reflexive edge strength of several Cartesian graphs, namely P_5xP_n, S_4xP_n, C_5xC_n, and F_3xP_n.

Keywords: Edge irregular reflexive k-labeling, reflexive edge strength, Cartesian graph.

Pengaruh Kemampuan Membaca Pemahaman dan Pemahaman Kalimat Terhadap Kemampuan Memecahkan Soal Cerita Matematika

Ardianik Ardianik, Sri Utami, Kusmiyati — Wed, 25 Dec 2024 00:00:00 +0700

Reading and comprehending a text has long been considered quite challenging. This may occur because individuals are often reluctant to take the time to read and then understand the content. However, without performing both tasks, one cannot fully grasp or comprehend the material presented. This issue becomes even more pronounced in mathematical word problems. Everyone must still learn mathematics because it serves as a tool for solving everyday problems, much like language, reading, and writing. Mathematics is not just about writing; it involves understanding concepts by first reading and comprehending them. This study aims to examine and prove: (1) The influence of reading comprehension ability on the ability to solve mathematical word problems; (2) The influence of sentence comprehension ability on the ability to solve mathematical word problems; (3) The influence of both reading comprehension and sentence comprehension on the ability to solve mathematical word problems. This quantitative research uses an ex-post facto approach, with data collected through tests, including reading comprehension tests, sentence comprehension tests, and mathematical word problem-solving tests. The data analysis method used is multiple linear regression, with assumptions already fulfilled. The results of the study show: (1) There is a highly significant influence of reading comprehension ability on the ability to solve mathematical word problems; (2) There is a highly significant influence of sentence comprehension ability on the ability to solve mathematical word problems; (3) There is a highly significant influence of both reading comprehension and sentence comprehension on the ability to solve mathematical word problems among 11th-grade students in the TKJ (Computer and Network Engineering) and Multimedia departments at UNITOMO Vocational School, Surabaya.