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Hasil Cross Product dari Dua Graf-k Rizza Lestari; Rizky Rosjanuardi; Sumanang Muhtar Gozali
Jurnal EurekaMatika Vol 10, No 1 (2022): Jurnal Eurekamatika
Publisher : Universitas Pendidikan Indonesia (UPI)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (226.965 KB) | DOI: 10.17509/jem.v9i2.40081

Abstract

This article discusses results of cross product of two k-graphs. This study discusses the structure of the k-graphs, which consists of category and functor that satisfying the factorisation property. Furthermore, we discussed the crossed product results from two k-graphs, which includes product category and functor for such product category. Then an illustration is given on how to form a (k_1+k_2)-graph from two different k-graphs, namely k_1-graph and k_2-graph.Keywords: Category, Cross Product, Functor, Functor for Product, k-Graph.AbstrakArtikel ini membahas tentang hasil cross product dari dua graf-k. Dalam penelitian ini dibahas mengenai struktur dari graf-k, yang terdiri dari kategori dan fungtor yang memenuhi sifat faktorisasi. Selanjutnya dibahas bagaimana hasil cross product dari dua graf- k, yang mencakup produk kategori dan fungtor untuk produk kategori tersebut. Lalu diberikan ilustrasi bagaimana membentuk graf-(k_1+k_2)dari dua graf-k yang berbeda, yaitu graf-k_1 dan graf-k_2.
ANALISIS KESULITAN SISWA DALAM MENYELESAIKAN SOAL INDUKSI MATEMATIKA Reka Ikraami Kurniawan; Rizky Rosjanuardi; Imam N Albania
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 11, No 4 (2022)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1066.343 KB) | DOI: 10.24127/ajpm.v11i4.6106

Abstract

Penelitian ini bertujuan untuk mendeskripsikan kesulitan siswa dalam menyelesaikan masalah matematika dengan induksi. Penelitian ini menggunakan jenis penelitian studi kasus dengan pendekatan kualitatif. Subjek penelitian ini adalah 2 siswi kelas XI SMA IPA. Subjek Pertama (Siswa A) merupakan siswi di salah satu SMA Negeri di Jakarta dan subjek kedua (Siswa B) merupakan siswi di salah satu Homeschooling di Jakarta. Instrumen penelitian yang digunakan adalah tes dan wawancara. Hasil penelitian menunjukkan bahwa siswa masih mengalami kesulitan dalam menyelesaikan pembuktian dengan induksi matematika, hal ini terlihat dari kesalahan yang dilakukan siswa dalam menyelesaikan permasalahan dengan induksi matematika. Kesalahan tersebut adalah kesalahan konsep dan kesalahan operasi aljabar. Kesalahan konsep yang dilakukan adalah siswa tidak memahami makna “n” dalam induksi matematika. Siswa terbiasa menyelesaikan soal induksi matematika yang dimulai dari basis induksi n = 1. Selanjutnya pada tahap P(k+1), kesalahan konsep yang dilakukan adalah siswa tidak memahami maksud “k+1”. Siswa melupakan tahap n = k saat menyelesaikan P(k+1) sehingga dalam menyelesaikan pembuktian tidak diperoleh hasil yang benar. Kesalahan operasi terjadi saat proses pembuktian dengan induksi. Pada tahap P(k+1), siswa mengalami kesulitan dalam pengoperasian bentuk aljabar. Kesalahan ini terjadi karena siswa belum memahami materi operasi bentuk aljabar dengan baik. This study aims to describe students' difficulties in solving mathematical problems by induction. This research uses a case study research type with a qualitative approach. The subjects of this study were 2 students of class XI SMA IPA. The first subject (Student A) is a student at a public high school in Jakarta and the second subject (Student B) is a student at a Homeschool in Jakarta. The research instruments used were tests and interviews. The results showed that students still had difficulties in completing the proof by mathematical induction, this could be seen from the mistakes made by students in solving problems with mathematical induction. These errors are conceptual errors and algebraic operations errors. The conceptual error made is that students do not understand the meaning of "n" in mathematical induction. Students are accustomed to solving mathematical induction problems starting from basic induction n = 1. Then at the P(k+1) stage, the conceptual error made is that students do not understand "k+1". Students forget the step n = k when completing P(k+1) so that in the completion they do not get the correct result. operating errors that occur during the inspection process by induction. At stage P(k+1), students have difficulty operating algebraic forms. This error occurs because students do not understand the material of algebraic operations well.
Self-Efficacy and Reflective Thinking Skills Attributes of Pre-service Mathematics Teachers Riva Lesta Ariany; Rizky Rosjanuardi; Dadang Juandi
Mosharafa: Jurnal Pendidikan Matematika Vol 12, No 1 (2023)
Publisher : Institut Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (490.034 KB) | DOI: 10.31980/mosharafa.v12i1.1979

Abstract

AbstrakKemampuan berpikir reflektif merupakan salah satu kemampuan yang perlu dimiliki oleh calon guru matematika agar dikemudian hari menjadi guru yang profesional. Pengembangan karakteristik berpikir reflektif ini dipengaruhi oleh banyak faktor. Penelitian ini bertujuan mengkaji apakah terdapat hubungan antara efikasi diri sebagai variabel bebas, terhadap Kemampuan Berpikir Reflektif mahasiswa calon guru matematika sebagai variabel terikat. Penelitian ini menggunakan pendekatan kuantitatif dengan metode korelasional. Instrumen yang dipergunakan dalam pengumpulan data berupa angket efikasi diri dan angket kemampuan berpikir reflektif. Penelitian ini melibatkan mahasiswa Program Studi Pendidikan Matematika semester VII yang berlokasi di Jawa Barat. Analisis data yang dilakukan dengan melakukan uji korelasi dan regresi linier. Hasil analisis menunjukkan adanya pengaruh positif efikasi diri terhadap Kemampuan Berpikir Reflektif calon guru matematika. AbstractReflective thinking is one of the abilities the pre-service mathematics teachers need to have to become professional teachers in the future. The development of this reflective thinking characteristic is influenced by many factors. This study examined the correlation between self-efficacy, as an independent variable, on the reflective thinking attributes of pre-service mathematics teacher as a dependent variable. This quantitative study utilized the correlational method. The instruments used in data collection were self-efficacy and reflective thinking attributes questionnaires. This study involved teacher students of the seventh semester of the Mathematics Education study program. The data analysis was carried out by performing correlation and linear regression tests. The results of the analysis showed that there was a positive effect of self-efficacy on the reflective thinking attributes of pre-service mathematics teachers.
Gaya Belajar dan Nilai Kalkulus Diferensial: Apakah Mempengaruhi IPK? Entit Puspita; Dadang Juandi; Rizky Rosjanuardi
JNPM (Jurnal Nasional Pendidikan Matematika) Vol 4, No 2 (2020): EDISI SEPTEMBER
Publisher : Universitas Swadaya Gunung Djati

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (901.618 KB) | DOI: 10.33603/jnpm.v4i2.3629

Abstract

Abstrak. Tujuan penelitian ini adalah untuk mengkaji pengaruh gaya belajar dan capaian kalkulus diferensial terhadap Indeks Prestasi Komulatif (IPK) mahasiswa calon guru matematika, baik secara parsial maupun secara simultan. Berbagai penelitian membuktikan adanya korelasi gaya belajar dengan capaian pembelajaran, ditemukan pula bukti permasalahan dalam penguasaan konsep kalkulus diferensial.  Penelitian terkait hubungan gaya belajar dan capaian kalkulus diferensial terhadap IPK mahasiswa calon guru matematika penting dilakukan, mengingat pada gilirannya mereka akan menjadi ujung tombak keberhasilan sebuah proses pembelajaran. Metode kuantitatif dengan desain deskriptif korelasional dan teknik pengumpulan data survey cross-sectional dipilih.  Sampel sebanyak 119 mahasiswa yang mengambil mata kuliah kalkulus diferensial. Data yang diperoleh berupa gaya belajar, nilai, dan IPK. Analisis data dilakukan dengan menggunakan Ancova. Hasil penelitian menunjukkan bahwa perbedaan gaya belajar dan capaian kalkulus diferensial memiliki pengaruh terhadap IPK mahasiswa calon guru matematika, secara simultan gaya belajar dan capaian Kalkulus Differensial memiliki pengaruh sebesar 55,7% terhadap IPK mahasiswa dan secara parsial didominasi oleh capaian kalkulus diferensial. Hasil ini mengindikasikan pentingnya memperhatikan gaya belajar mahasiswa dan dapat dijadikan rambu-rambu dalam merancang sebuah disain perkuliahan kalkulus diferensial disesuaikan dengan keunikan gaya belajarnya, mengingat pengaruhnya terhadap IPK mahasiswa cukup besar.Kata Kunci: Gaya Belajar, Capaian Pembelajaran, Indeks Prestasi Kumulatif.
Kemampuan berpikir kritis dalam pemecahan masalah matematika; Systematic Literatur Review Mursidah Mursidah; Rizky Rosjanuardi; Dadang Juandi
JPMI (Jurnal Pembelajaran Matematika Inovatif) Vol. 6 No. 4 (2023): Juli
Publisher : IKIP Siliwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/jpmi.v6i4.17933

Abstract

Critical thinking is critical analysis and assessment of  problem to make  decision. Critical thinking is essential aspect to improve students’ problem solving skills. The purpose of this research is to analyze qualitative studies on students' critical thinking skills in primary, secondary, tertiary and higher education, from 2013-2023. This research uses Syistematic Literature Review (SLR) which categorizes primary data from previous publications in proceedings journals, indexed by Sinta and Scopus. Data extraction was adjusted to the selection criteria, so that 27 articles were collected. Qualitative methods were used to analyze the data. Data grouping was based on publication year, education level, demographics, indexed journals, material analyzed, and research results. The results showed that research related to critical thinking skills became a trend in research conducted in 2013-2023 for algebra topics. Many studies related to critical thinking skills were conducted on the Asian continent. However, students' critical thinking skills are still low for all levels of education. Based on critical thinking indicators, students have difficulty in evaluating. This is because students do not really understand the basic concepts of mathematics. As a result, this is a concern for researchers and educators to conduct research related to students' critical thinking skills.
Upaya Meningkatkan Keterampilan Berhitung Cepat Menggunakan Jarimatika pada Anak-Anak Yayasan Yatim dan Dhuafa Daarul Husna Parompong Kabupaten Bandung Barat Nurhuda Teapon; Muhammad Fajar Anugrah; Dika Faiz Himmawan; Rekha Bestari Martista; Rizky Rosjanuardi; Khusnul Novianingsih
BERDAYA: Jurnal Pendidikan dan Pengabdian Kepada Masyarakat Vol 5 No 2 (2023)
Publisher : LPMP Imperium

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36407/berdaya.v5i2.1005

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Kegiatan ini bertujuan untuk menambah pemahaman dan pengetahuan serta untuk memfasilitasi anak-anak Yayasan untuk melatih kreativitas dan kemampuan hitung cepat khususnya pada penjumlahan dan perkalian. Kegiatan pengabdian kepada masyarakat ini dilaksananakan di Yayasan Daarul Husna Parompong Kabupaten Banding Barat pada hari Minggu 19 maret 2023 dimulai dari pukul 08.00 sampai dengan 13.00 WIB. Peserta kegiatan ini berjumlah 35 anak yang terdiri dari siswa ditingkat SD dan SMP. Kegiatan ini berlangsung dengan baik dan peserta yang mengikuti rangkaian kegiatan dengan antusias. Berdasarkan hasil pengamatan soal dan kuis yang diberikan terlihat bahwa siswa mampu memahami keterampilan hitungan cepat dengan menggunakan jarimatika dengan sangat baik.
Problem Decomposition Skills, Mathematical Maturity, and Their Relation to Mathematics Problem-Solving in A Computer Science Learning Class Harsa Wara Prabawa; Rizky Rosjanuardi; Elah Nurlaelah
Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran Vol 9, No 3 (2023): September
Publisher : Universitas Pendidikan Mandalika (UNDIKMA)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/jk.v9i3.8258

Abstract

This study investigates how students represent ideas when decomposing mathematical problems and how their mathematical maturity influences the problem-solving process. The method used in this research is explorative research. The subject of this research was six Computers Science Education Department students at the Indonesian Education University. The instrument used task-based interviews. Data analysis used the concept of Miles and Huberman, including data reduction, presentation, and drawing conclusions. The research found that problem decomposition skills, mathematical maturity, and their relation to solving mathematical problems in computer science learning classes influenced one another. Decomposition skills were influenced by how basic math skills are taught, so they can affect students' maturity in solving math problems.
Kemampuan pemecahan masalah matematis siswa SMP pada materi bangun ruang sisi datar: systematic literature review Muhammad Awaludin Nasution; Rizky Rosjanuardi; Surya Kurniawan
JPMI (Jurnal Pembelajaran Matematika Inovatif) Vol. 6 No. 4 (2023): Juli
Publisher : IKIP Siliwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/jpmi.v6i4.17889

Abstract

The ability to solve mathematical problems is the goal of learning mathematics at schools both nationally and internationally. There have been many problem-solving studies on flat-sided space geometrical material at the junior high school level. Hence, this research will review these qualitative studies in the last decade. The method used is a systematic literature review (SLR) with a combination of several stages. Further, the search for articles uses the Google Scholar database with several filters and relevant keywords. A total of 35 selected articles were reviewed in this article. The study results reveal that the research trend on solving flat-sided space geometrical problems has continued from 2013 to the present. However, from year to year, the results are still similar; namely, the problem-solving abilities of junior high school students are still not satisfactory; in terms of demography, West Java dominates the research sites, and many provinces have not confirmed the results of the research are similar, in terms of material blocks and cubes occupy the most popular positions in problem-solving testing, from a theoretical point of view, Polya stages are still often used by researchers compared to other theories. 13 other variable aspects are thought to influence students' problem-solving abilities.
Students' mathematical argumentation ability when proving mathematical statements based on self-efficacy Surya Kurniawan; Rizky Rosjanuardi; Suhendra Suhendra
Jurnal Elemen Vol 9 No 2 (2023): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v9i2.15151

Abstract

Argumentation as an aspect of problem-solving has been studied in mathematics education. However, mathematical proof still needs to be resolved further. This study investigates students' mathematical argumentation skills when proving mathematical statements based on their self-efficacy. The research subjects were 43 mathematics education students at a university in Aceh Province who had taken a number theory course. The study used a qualitative approach with a case study design: students’ mathematical proving self-efficacy. Data was obtained using self-efficacy questionnaires and mathematical proof test instruments that experts have validated, while the data triangulation used was an in-depth interview. The results of this study reveal that students' mathematical argumentation skills in proving mathematical statements have differences based on their self-efficacy. The mathematical argumentation ability of students with high self-efficacy involves all aspects of argumentation well so that the construction of the proof is scientifically correct. Meanwhile, the argumentation ability of students with moderate or low self-efficacy still does not involve essential aspects of argumentation. So, the proof results are not scientifically correct because they have not arrived at the proper conclusion.
Learning Obstacles of Prospective Mathematics Teachers: a Case Study on the Topic of Implicit Derivatives Entit Puspita; Didi Suryadi; Rizky Rosjanuardi
Kreano, Jurnal Matematika Kreatif-Inovatif Vol 14, No 1 (2023): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : Mathematics Dept, Math. and Science Faculty, Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v14i1.42805

Abstract

This research is a Didactical Design Research (DDR), aiming to identify various learning barriers for prospective mathematics teachers. Some students still experience learning difficulties in derived concepts which are prerequisites for other concepts or other subjects, didactic and pedagogical anticipation can be prepared to overcome them. Based on the learning design, various learning barriers were identified, especially in the implicit derivative concept. The research participants consisted of 3 lecturers and 46 second-semester prospective teacher students at one of the tertiary institutions in Indonesia. The results of interviews and questionnaires were analyzed through identification, clarification, reduction and verification techniques and then presented narratively. The results showed that some prospective teachers experienced learning barriers 1) ontogenic instrumental, conceptual, and psychological types, 2) didactic, students could not identify contextual relationships in the structure of answers, indicating that the material was not by the continuity of students' thinking, and 3) epistemological, the lack of understanding of explicit and implicit similarities shows the limitations of the context that students have. Based on the research findings, a learning design will be developed based on the theory of a didactic situation with the stages of action situations, formulation, validation, and institutionalization, which are thought to be able to overcome the findings of learning obstacles.Penelitian ini merupakan Didactical Design Research (DDR), bertujuan untuk mengidentifikasi berbagai hambatan belajar calon guru matematika. Sebagian mahasiswa masih mengalami hambatan belajar pada konsep turunan yang merupakan prasyarat konsep lain atau matakuliah lain, dapat disiapkan antisipasi didaktis maupun pedagogis untuk mengatasinya. Berdasarkan rancangan pembelajaran, diidentifikasi berbagai hambatan belajar khususnya pada konsep turunan implisit. Partisipan penelitian terdiri dari 3 dosen dan 46 mahasiswa calon guru semester dua di salah satu perguruan tinggi di Indonesia. Hasil wawancara dan angket dianalisis melalui teknik identifikasi, klarifikasi, reduksi, dan verifikasi, selanjutnya disajikan secara naratif. Hasil penelitian menunjukkan bahwa beberapa calon guru mengalami hambatan belajar 1) ontogenik tipe instrumental, konseptual, dan psikologis, 2) didaktis, mahasiswa tidak dapat mengidentifikasi hubungan kontekstual dalam struktur jawaban, menunjukkan bahwa materi tidak sesuai dengan kesinambungan proses berpikir mahasiswa, dan 3) epistemologis, kurangnya pemahaman persamaan eksplisit dan implisit menunjukkan keterbatasan konteks yang dimiliki mahasiswa. Berdasarkan temuan penelitian, akan dikembangkan desain pembelajaran berdasarkan theory of didactical situation dengan tahapan situasi aksi, formulasi, validasi, dan institusionalisasi yang diduga dapat mengatasi temuan hambatan belajar.
Co-Authors Aflich Yusnita Fitrianna Aflich Yusnita Fitrianna Aflich Yusnita Fitrianna Agustian, Muhammad Rifqi Agustian, Muhammad Rifqi Albania, Imam Nugraha Andina Aulia Rachma Anggareni, Peni Ariany, Riva Lesta Aris Hadiyan Wijaksana Aswin Aswin Aziiza, Yushilatu Felayati Azizah, Firda Bilqis Azizah, Firda Bilqis Balkist, Pujia Dadang Juandi Dadang Juandi Darhim Darhim Delsika Pramata Sari Dewi, Reza Farhania DIAN LATIFAH, DIAN Didi Suryadi Didi Suryadi Dika Faiz Himmawan Edi Irawan Elah Nurlaelah Elah Nurlaelah Endang Cahya Mulyaning A. Eneng Riska Nuraeni Entit Puspita Entit Puspita Eyus Sudihartinih Fitrianingsih, Ajeng Nur Aulia Harsa Wara Prabawa Imam N Albania Imam Nugraha Albania Irham Walidaka Ishma Fadlina Urfa, Ishma Fadlina Isnie Yusnitha, Isnie Jarnawi Afgani Dahlan Kadir, Kamaliyah Kertayasa, I Ketut Khusnul Novianingsih Lovitarani, Destiana Lovitarani, Destiana LUKMAN, LUKMAN Maknun, Churun Lu'lu'il Masta, Al Azhary Muhammad Awaludin Nasution Muhammad Fajar Anugrah Muhammad Nur Hidayat Taufiqurrahman Mulyaning Asih, Endang Cahya Mulyono, Budi Mursidah Mursidah Nadia Shabilla, Nadia Nanang Priatna Nunung Nurhidayah, Nunung Nurhayati, Aat Nurhuda Teapon Panjaitan, M. Azhari Prabawa, Harsa Wara Rachma, Andina Aulia Ratri Isharyadi, Ratri Reka Ikraami Kurniawan Rekha Bestari Martista Reni Nuraeni, Reni Rini Marwati Ririn Sispiyati Riska Novia Sari, Riska Novia Riva Lesta Ariany Rizza Lestari Rudi Rudi Rudi Rudi Sardin Solly Aryza Sufyani Prabawanto, Sufyani Sugianto, Andi Suhendra, S Sumanang Muhtar Gozali Surachman, Annisanti Surachman, Annisanti Surya Kurniawan Syafdi Maizora Thesa Kandaga Toto Subroto Wijaksana, Aris Hadiyan Yaya S Kusumah Yaya S. Kusumah Yuliardi, Ricki Yushilatu Felayati Aziiza