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Analisis Aktivitas Belajar Siswa Kelas XI SMA dalam Pembelajaran Matematika Berbantuan Geogebra antara Pendekatan Laboratorium dan Pendekatan Klasikal Rudhito, Marcellinus Andy; Iman Santoso, Fransiskus Gatot; Kristanto, Vigih Hery
Widya Warta No. 01 Tahun XXXVIII / Januari 2014
Publisher : Universitas Katolik Widya Mandala Surabaya Kampus Kota Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (405.958 KB)

Abstract

This research aims to find whether or not there is any difference of students’ study activity in GoeGebra assisted mathematics learning with laboratory approach and that with classical approach on the second-year-students of senior high school. The research is quantitative in nature. It was carried out at SMAN 1 and SMAN 5 Madiun in the semester two of the academic year 2012/2013. The data were collected using non-test method. It was in the form of observation sheets of students’ activity. The sample was obtained applying cluster random sampling technique. The statistical analysis of the data showed that students’ study activity in GoeGebra assisted mathematics learning with laboratory approach was better than thatwith classical approach.
Time-Invariant Fuzzy Max-Plus Linear Systems Marcellinus Andy Rudhito
Jurnal Matematika & Sains Vol 17, No 3 (2012)
Publisher : Institut Teknologi Bandung

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Abstract

In time-invariant max-plus linear systems (IMLS), the activity times are real numbers. In time-invariant fuzzy max-plus linear systems (IFMLSI), as there is uncertainty in the activity times, the activity times are modeled as fuzzy numbers. This article discusses a generalization of IMLSI to IFMLS, especially IFMLS with single input single output (SISO), and input-output analysis of IFMLS-SISO. We show that input-output analysis IFMLS-SISO associated with the latest times input problem can be solved by using a solution of a system of fuzzy number max-plus linear equations. Keywords: Linear Systems, Max-Plus, Fuzzy Number, Time-Invariant, Input-Output.   Sistem Linier Max-Plus Samar yang Invarian terhadap Waktu Abstrak Dalam sistem linear max-plus waktu invarian (SLMI), waktu aktifitas berupa bilangan real. Dalam sistem linear max-plus kabur waktu invarian (SLMKI), ada ketidakpastian dalam waktu aktifitas, sehingga waktu aktifitas dimodelkan sebagai bilangan kabur. Artikel ini membahas suatu generalisasi SLMI menjadi SLMKI, khususnya SLMKI dengan satu input dan satu output (SISO), dan analisis input-output SLMKI-SISO. Dapat ditunjukkan bahwa analisis input-output SLMKI-SISO yang berkaitan dengan masalah waktu input paling lambat, dapat diselesaikan dengan menggunakan suatu penyelesaian sistem persamaan linear max-plus kabur. Kata kunci: Sistem Linear, Max-Plus, Bilangan Kabur, Waktu-Invariant, Input-Output.
USING EXELSA MOODLE TO DEVELOP MATHEMATICS TEACHING SKILLS AND SPIRIT IN THE MICRO TEACHING COURSE Rudhito, Marcellinus Andy
International Journal of Indonesian Education and Teaching (IJIET) Vol 2, No 2 (2018): July 2018
Publisher : Sanata Dharma University Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (535.647 KB) | DOI: 10.24071/ijiet.v2i2.1175

Abstract

The purpose of learning implementation with the development of digital learning resources in the Micro Teaching Course is to (i) design and implement active and constructive learning dynamics in an effort to develop students' Ignatian Pedagogy-based teaching skills by utilizing Learning Management System Exelsa Moodle; (ii) produce teaching design and teaching videos that students can use in their efforts to develop their teaching skills. In general, the implementation of learning is about 90% in accordance with the plan. The expected final achievement is generally achieved, namely that students have good skills in managing mathematics learning in the peer teaching (Competence), have high spirit in developing teaching ability (Conscience) and have high concern in helping their friends in an effort to develop their teaching skills (Compassion).The use of Exelsa Moodle is also quite optimal, in which the course design and explanations and materials used in the lectures can be well communicated. Videos from short film projects with mathematical themes can also be produced properly and have been uploaded on Youtube. In this lecture the videos recording their teaching practice still tend to be a collection of learning and student labs concerned. These videos can be utilized to serve as examples in the discussion of teaching skills, whether from material mastery, delivery or class management. DOI: https://doi.org/10.24071/ijiet.2018.020210
ANALISIS KEMAMPUAN DAN KESULITAN SISWA SMP DALAM MENYELESAIKAN SOAL BILANGAN MODEL TIMSS Prasetyo, Dominikus Arif Budi; Rudhito, Marcellinus Andy
Jurnal Pengajaran Matematika dan Ilmu Pengetahuan Alam Vol 21, No 2 (2016): Jurnal Pengajaran MIPA - Oktober 2016
Publisher : Faculty of Mathematics and Science Education, Universitas Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18269/jpmipa.v21i2.819

Abstract

Numbers is an important concept in mathematics and one of the tested materials in TIMSS’s study. One of the efforts to increase students’ ability in solving TIMSS numbers questions is by developing TIMSS model-numbers questions. This current research investigated students’ ability and difficulties in solving TIMSS model-numbers questions, with 31 students in one of junior high schools in Central Java as a sample. Students’ ability in solving TIMSS model-numbers questions was measured by test with 32 multiple choice questions, whereas students’ difficulties when solving those questions were explored by students’ comment sheet. Mean test score indicates that students ability for all content and cognitive domains was moderate. Difficulties experienced by students in solving TIMSS model-numbers questions were misunderstood the meaning of the questions or error in changing fractional forms and making calculations. The results indicated that in addition to having no deep understanding of numbers, students’ opportunity to train their ability in solving TIMSS model-numbers questions was still insufficient.
Matriks atas Aljabar Max-Plus Interval Rudhito, Marcellinus Andy; Wahyuni, Sri; Suparwanto, Ari; Susilo, Frans
Jurnal Natur Indonesia Vol 13, No 2 (2011)
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat Universitas Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (244.728 KB) | DOI: 10.31258/jnat.13.2.94-99

Abstract

This paper aims to discuss the matrix algebra over interval max-plus algebra (interval matrix) and a method tosimplify the computation of the operation of them. This matrix algebra is an extension of matrix algebra over max-plus algebra and can be used to discuss the matrix algebra over fuzzy number max-plus algebra via its alpha-cut.The finding shows that the set of all interval matrices together with the max-plus scalar multiplication operationand max-plus addition is a semimodule. The set of all square matrices over max-plus algebra together with aninterval of max-plus addition operation and max-plus multiplication operation is a semiring idempotent. As reasoningfor the interval matrix operations can be performed through the corresponding matrix interval, because thatsemimodule set of all interval matrices is isomorphic with semimodule the set of corresponding interval matrix,and the semiring set of all square interval matrices is isomorphic with semiring the set of the correspondingsquare interval matrix.
USING EXELSA MOODLE TO DEVELOP MATHEMATICS TEACHING SKILLS AND SPIRIT IN THE MICRO TEACHING COURSE Marcellinus Andy Rudhito
IJIET (International Journal of Indonesian Education and Teaching) Vol 2, No 2 (2018): July 2018
Publisher : Sanata Dharma University Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24071/ijiet.v2i2.1175

Abstract

The purpose of learning implementation with the development of digital learning resources in the Micro Teaching Course is to (i) design and implement active and constructive learning dynamics in an effort to develop students' Ignatian Pedagogy-based teaching skills by utilizing Learning Management System Exelsa Moodle; (ii) produce teaching design and teaching videos that students can use in their efforts to develop their teaching skills. In general, the implementation of learning is about 90% in accordance with the plan. The expected final achievement is generally achieved, namely that students have good skills in managing mathematics learning in the peer teaching (Competence), have high spirit in developing teaching ability (Conscience) and have high concern in helping their friends in an effort to develop their teaching skills (Compassion).The use of Exelsa Moodle is also quite optimal, in which the course design and explanations and materials used in the lectures can be well communicated. Videos from short film projects with mathematical themes can also be produced properly and have been uploaded on Youtube. In this lecture the videos recording their teaching practice still tend to be a collection of learning and student labs concerned. These videos can be utilized to serve as examples in the discussion of teaching skills, whether from material mastery, delivery or class management.DOI: https://doi.org/10.24071/ijiet.2018.020210
DESAIN AKTIVITAS PEMBELAJARAN GEOMETRI BERBASIS AUTOMATED REASONING TOOLS DENGAN GEOGEBRA Dewa Putu Wiadnyana Putra; Adhi Surya Nugraha; Marcellinus Andy Rudhito
EDU-MAT: Jurnal Pendidikan Matematika Vol 11, No 1 (2023)
Publisher : Universitas Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/edumat.v11i1.15016

Abstract

Penalaran deduktif aksiomatis merupakan pendekatan yang paling banyak digunakan dalam membuktikan pernyataan-pernyataan geometris. Konsep berpikir abstrak yang masih belum matang menyebabkan terjadinya kekeliruan dalam pembuktian. Teknologi yang berkembang saat ini memberikan jembatan bagi kita untuk memvisualkan konsep-konsep abstrak dalam geometri. Software Geometri Dinamis berpotensi dikembangkan untuk membantu proses penalaran. Otomatisasi merupakan sisi yang dapat dieksplorasi dalam integrasi teknologi untuk proses penalaran. Penelitian ini bertujuan untuk merancang aktivitas pembelajaran geometri dengan mengintegrasikan Automated Reasoning Tools (ART) GeoGebra pada topik Segiempat. Penelitian ini merupakan penelitian dan pengembangan dengan mengadopsi model ADDIE. Tahapan yang dilaksanakan dalam penelitian yaitu tahap Analisis, Desain, dan Pengembangan. Kajian Pustaka dilakukan untuk mendesain aktivitas pembelajaran geometri. Hasil penelitian ini adalah desain aktivitas pembelajaran Geometri berbasis ART. Desain aktivitas pembelajaran menggunakan pendekatan Discovery Learning. Hasil pengembangan aktivitas pembelajaran yaitu aktivitas pembelajaran terdiri dari empat tahap utama. Tahapan aktivitas pembelajaran yaitu 1) stimulus masalah terbuka, 2) penyusunan konjektur, 3) verifikasi konjektur dengan ART, dan 4) generalisasi. Kata kunci: Penalaran, ART, Segiempat, Konjektur. Abstract: Abstract Axiomatic deductive reasoning is the most widely used approach in proving geometric statements. Concepts of abstract thinking that are still immature lead to errors in proof. Current developing technologies provide a connection for us to visualize abstract concepts in geometry. Dynamic Geometry Software has the potential to be developed to assist the reasoning process. Automation can be explored in the integration of technology for reasoning processes. This study aims to design geometry learning activities by integrating GeoGebra's Automated Reasoning Tools (ART) on the topic of Quadrilaterals. This research is research and development by adopting the ADDIE model. The stages carried out in the research are the Analysis, Design, and Development. Literature Review was conducted to design geometry learning activities. The result of this study is the design of Geometry learning activities with ART. The learning activity approach uses the Discovery Learning. The result of learning activity development is there are four main stages of these activity. The designed learning activity, namely 1) open-ended problem stimulus, 2) constructing conjectures, 3) verifying conjectures with ART, and 4) generalizing. Keywords: Reasoning, ART, Quadrilateral, Conjectures.
ANALISIS KEMAMPUAN DAN KESULITAN SISWA SMP DALAM MENYELESAIKAN SOAL BILANGAN MODEL TIMSS Dominikus Arif Budi Prasetyo; Marcellinus Andy Rudhito
Jurnal Pengajaran MIPA Vol 21, No 2 (2016): JPMIPA: Volume 21, Issue 2, 2016
Publisher : Faculty of Mathematics and Science Education, Universitas Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18269/jpmipa.v21i2.44264

Abstract

Bilangan adalah konsep penting dalam matematika dan merupakan salah satu materi yang diujikan dalam studi TIMSS. Salah satu upaya untuk meningkatkan kemampuan siswa dalam menjawab soal bilangan TIMSS ada-lah dengan mengembangkan soal bilangan model TIMSS. Penelitian ini menyelidiki kemampuan dan kesulitan siswa dalam menjawab soal bilangan model TIMSS dengan 31 siswa di salah satu SMP di Jawa Tengah seba-gai sampel. Kemampuan siswa dalam menyelesaikan soal bilangan model TIMSS diukur melalui tes dengan 32 soal pilihan majemuk, sedangkan kesulitan yang dialami siswa ketika mengerjakan soal tes digali melalui lembar komentar siswa. Rerata nilai tes menunjukkan bahwa kemampuan siswa untuk semua ranah konten dan kognitif tergolong sedang. Kesulitan yang dialami siswa dalam menjawab soal bilangan model TIMSS mi-salnya tidak memahami maksud soal maupun kesalahan dalam mengubah bentuk pecahan dan melakukan per-hitungan. Hasil mengindikasikan bahwa selain belum memiliki pemahaman yang mendalam tentang materi bi-langan, siswa juga belum memiliki kesempatan yang memadai untuk melatih kemampuan dalam menjawab so-al model TIMSS.ABSTRACT Numbers is an important concept in mathematics and one of the tested materials in TIMSS’s study. One of the efforts to increase students’ ability in solving TIMSS numbers questions is by developing TIMSS model-num-bers questions. This current research investigated students’ ability and difficulties in solving TIMSS model-numbers questions, with 31 students in one of junior high schools in Central Java as a sample. Students’ ability in solving TIMSS model-numbers questions was measured by test with 32 multiple choice questions, whereas students’ difficulties when solving those questions were explored by students’ comment sheet. Mean test score indicates that students' ability for all content and cognitive domains was moderate. Difficulties experienced by students in solving TIMSS model-numbers questions were misunderstood the meaning of the questions or er-ror in changing fractional forms and making calculations. The results indicated that in addition to having no deep understanding of numbers, students’ opportunity to train their ability in solving TIMSS model-numbers questions was still insufficient.How to cite: Prasetyo, D.A.B., Rudhito, M.A. (2016). Analisis Kemampuan dan Kesulitan Siswa SMP da-lam Menyelesaikan Soal Bilangan Model TIMSS, Jurnal Pengajaran MIPA, 21(2), 122-128.
Pengembangan Media Pembelajaran Menggunakan Mathcitymap dalam Kemampuan Pemecahan Masalah Berbasis Etnomatematika Konteks Benteng Vredeburg Yogyakarta Gabriela Alvina Maheswari; Endah Saraswati; Marcellinus Andy Rudhito
Jurnal Pendidikan Matematika (JPM) Vol 9 No 2 (2023): Jurnal Pendidikan Matematika (JPM)
Publisher : Pendidikan Matematika, FKIP, Universitas Islam Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33474/jpm.v9i2.20037

Abstract

Teknologi yang ada di Indonesia semakin berkembang pada abad 21 ini. MathCityMap merupakan salah satu perkembangan teknologi yang dapat membantu peserta didik dalam pembelajaran matematika. Kemampuan pemecahan masalah merupakan salah satu masalah yang ada di pembelajaran matematika. Peningkatan kemampuan pemecahan masalah siswa dengan konteks pembelajaran menggunakan MathCityMap berbasis Etnomatematika. Konteks yang diangkat pada penelitian ini adalah penggunaan MathCityMap berbasis Etnomatematika pada Benteng Vredeburg Yogyakarta. Benteng Vredeburg ini merupakan wisata yang tengah digandrungi oleh anak muda karena situasi yang ada di benteng Vredeburg Yogyakarta yang bergaya vintage dapat digunakan swafoto atau pemotretan untuk kegiatan tertentu. Penelitian ini merupakan penelitian pengembangan atau biasa disebut Research and Development (R&D). Metode yang digunakan dalam penelitian ini adalah ADDIE. Metode ADDIE terdiri dari 5 tahap yaitu Analysis, Design, Development, İmplementation, dan Evaluation. Tujuan penelitian ini adalah mengembangkan media pembelajaran dengan menggunakan MathCityMap bagi peserta didik tingkat SMP.  Hasil dari penelitian ini adalah pengembangan MathCityMap dengan menggunakan konteks benteng Vredeburg yang telah diuji coba oleh teman sejawat dengan rata-rata hasil penilaian  adalah 4,56 dari 5 termasuk dalam kategori sangat baik. Oleh karena itu, MathCityMap yang dikembangkan oleh peneliti dapat digunakan dalam pembelajaran matematika.
Development of Mathematics Learning Activities Using Mathcitymap at Sindu Kusuma Edupark to Learn Contextual Problem-Solving Tyas, Azkia Martiana Winarning; Herningtyas Ayu Putri Cahyanti, Aurelia; Rudhito, Marcellinus Andy
Jurnal Pendidikan Matematika (JPM) Vol 10 No 2 (2024): Jurnal Pendidikan Matematika (JPM)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Islam Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33474/jpm.v10i2.22225

Abstract

Contextual problem-solving abilities are very much needed in processes in the 21st-century era and can be done by providing meaningful experiences. This can also be called Outdoor Learning, namely involving students directly in the learning object. One application that can help learning outside the classroom is MathCityMap. This research raises the context of using ethnomathematics-based MathCityMap located at Sindu Kusuma Edupark. Sindu Kusuma Edupark is an educational tourist attraction located in Sleman, Yogyakarta. This research aims to develop students' contextual problem-solving abilities in mathematics learning using the MathCityMap application at the junior high school level. This research uses a type of development research called Research and Development (R&D). The method in this research refers to the 4D method which consists of 4 stages: definition, design, development, and dissemination. The results of this research are a series of learning activities using the MathCityMap application in the context of the Sindu Kusuma Edupark tourist attraction which colleagues have tested. The average assessment result is 80.5% with the feasible category. Based on these results, it was concluded that the MathCityMap activity developed by this researcher could be implemented in mathematics learning.