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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.
Kajian Etnomatematika dalam Budaya Merti Dusun Temanggung Kabupaten Wonosobo dan Implementasinya dalam Pembelajaran Matematika Rudhito, Marcellinus Andy; Kristanti, Rani; Syahdana, Hanifah
Postulat : Jurnal Inovasi Pendidikan Matematika Vol 5 No 1 (2024): Juli 2024
Publisher : Universitas Muhammadiyah Gresik

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30587/postulat.v5i1.7628

Abstract

Indonesia mempunyai banyak sekali ragam kebudayaan. Salah satu kebudayaan yang dapat dikaji melalui etnomatematika adalah Budaya Merti dusun. Penelitian ini bertujuan untuk (1) mendeskripsikan sejarah dan filosofi Budaya Merti Dusun di Dusun Temanggung Wonosobo (2) mendeskripsikan aktivitas fundamental yang terjadi pada Budaya Merti Dusun di Dusun Temanggung Wonosobo menurut Bishop (3) Mengembangkan atau mengimplementasikan hasil kajian dalam Pembelajaran Matematika. Jenis penelitian ini merupakan penelitian kualitatif. Metode penelitian yang digunakan adalah etnografi. Subjek dari penelitian ini adalah sesepuh Dusun Temanggung. Berdasarkan aktivitas fundamental matematis menurut Bishop hasil dari penelitian ini menunjukan (1) Adanya aktivitas membilang (counting) (2) adanya aktivitas pemetaan (locating) (3) adanya aktivitas mengukur (measuring) (4) adanya aktivitas merancang (designing) (5) adanya aktivitas bermain (playing) dan (6) aktivitas menjelaskan (explaining). Hasil penelitian tersebut dapat diimplementasikan pada pembelajaran matematika.
Etnomatematika pada Pakaian Adat Ulos Batak Toba dan Implementasi dalam Rancangan Pembelajaran Matematika Jawa, Petrus Ignasius Junior; sidabalok, alfrendo; Rudhito, Marcellinus Andy
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2024): Sustainable Development Goal in Mathematics and Mathematics Education
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i1.3204

Abstract

The country of Indonesia is rich in culture where there are elements of mathematics in it. One of these cultures is Ulos cloth with various motifs. The results of this study of mathematics in culture can then be implemented in contextual mathematics learning by paying attention to cultural background, which is expected to facilitate and motivate students. The purpose of this research is to explain and expose the existence of ethnomathematics-based learning methods that associate elements of a culture with mathematical learning. With the existence of a culture, every person or individual can know everything that is contained in that culture. By choosing a topic about the cultural diversity of communities in the region of North Sumatra about the customary clothing of Ulos Batak, which in this study explains the existence of ethnomatematics contained in the motifs of the fabric of the Ulos of the Tribe of Batak Toba used in the wedding ceremony. The research method used is descriptive qualitative. The research also reveals how mathematical concepts are reflected in the fabric motifs of the outline, such as transformation, symmetry, and balance. This research uses data analysis techniques i.e. reduction, presentation and drawing conclusions. The data collection technique is carried out with the method of literature study where it is done by searching from various sources about Batak Toba's Modern Clothing then reduced by selecting the necessary information. Research results show that ethnomatematics is present in a variety of fabric motifs, including Passamot, Pengantin, Holong, and Sadum. By understanding the interrelationship between mathematics and culture in the context of the textile fabric, mathematical learning can become more interesting and meaningful for students. The research also emphasizes the importance of understanding and preserving the cultural heritage of the Batak Toba tribe.