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Penerapan Pembelajaran Think Pair Share Dilengkapi Ajaran Asah, Asih, Asuh untuk Meningkatkan Motivasi dan Prestasi Belajar Matematika Nella Evina Marlena; Esti Harini; Denik Agustito
UNION : Jurnal Ilmiah Pendidikan Matematika Vol 9 No 2 (2021)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/union.v9i2.10001

Abstract

This study aims to describe the process of learning mathematics using the TPS Learning Model (Think Pair Share) equipped with teachings, compassion, fostering in increasing motivation and learning achievement of mathematics in class VIII A students of SMP N 2 Banguntapan. This research is a kind of class action research (CAR) which is conducted in two cycles. The subjects of this study were eighth grade students of SMP N 2 Banguntapan. Academic Year 2019/2020, the number of students is 30 students. Data collection techniques in this study were carried out with observation techniques, test techniques, and documentation techniques. The results showed the average percentage of students' motivation achievement from pre-cycle of 58.33% increased to 66.11% in the first cycle and 82.78% in the second cycle. While students' mathematics learning achievement can be seen from the average initial ability score of 63.83 to 75.67 in the first cycle and increased to 82.07 in the second cycle.
Pelatihan Media Pembelajaran Aplikasi Quizizz Siswa Sekolah Dasar pada Masa Pandemi Covid-19 Sukiyanto Sukiyanto; Tsalitsatul Maulidah; Dewi Anggreini; Denik Agustito; Dwi Nova Lestari
Abdimas Universal Vol. 4 No. 2 (2022): Oktober
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat Universitas Balikpapan (LPPM UNIBA)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36277/abdimasuniversal.v4i2.173

Abstract

This PkM training activity aims to provide training on how to utilize technology, namely the use of free online gamification features to assist the teaching and learning process outside the classroom using the Quizizz application. The implementation method used is socialization, training implementation and evaluation. The subject of this training was attended by 15 sixth grade students. The results show that the application can increase student learning concentration and can increase enthusiasm in learning in the midst of the Covid-19 pandemic so that online learning feels more fun and students can learn while playing through this Quizizz application. This training also has a significant impact on the ability of teachers to develop learning evaluation instruments using the Quizizz application.
Development of Discrete Mathematics Teaching Materials to Improve Critical Thinking Skill Mathematics of Prospective Teacher Denik Agustito; Krida Singgih Kuncoro; Deri Fathurahman Arif
UNION : Jurnal Ilmiah Pendidikan Matematika Vol 10 No 3 (2022)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/union.v10i3.13613

Abstract

Matematika diskrit merupakan bagian dari ilmu matematika yang wajib dan penting diketahui oleh mahasiswa dikarenakan dapat melatih dan mengembangkan daya berpikir abstrak, melatih logika berpikir, dan melatih analisis pemecahan suatu masalah sehingga mereka terbiasa memecahkan permasalahan di bidang matematika secara kritis dan rasional. Tujuan dalam penelitian ini adalah untuk mengetahui proses pengembangan bahan ajar pada mata kuliah matematika diskrit untuk meningkatkan kemampuan berpikir kritis matematis mahasiswa calon guru. Jenis penelitian yang digunakan dalam adalah Research and Development (R&D) dengan model penelitian 4-D Thiagarajan yang terdiri dari 4 tahap yaitu Define, Design, Development, dan Disseminate. Diharapkan hasil penelitian ini dapat memberikan sumbangan dan masukan berarti bagi dosen dan mahasiswa pada civitas akademika Universitas Sarjanawiyata Tamansiswa terutama pada program studi Pendidikan Matematika.
Direct Product dan Direct Sum dari Keluarga Grup Abelian Denik Agustito; Krida Singgih Kuncoro; Sukiyanto Sukiyanto; Istiqomah Istiqomah
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 2 (2022): September 2022 - Februari 2023
Publisher : Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v7i2.3044

Abstract

Eksistensi dari direct product dalam kategori grup abelian ada; jika diberikan keluarga grup abelian yaitu {(G_i,+_i )?i?I} maka direct productnya adalah ?_(i?I)?G_i dan  extrenal direct sumnya juga ada yaitu ?_(i?I)?G_i. Kemudian jika diberikan sebuah keluarga subgrup normal dari grup abelian G yaitu {N_i?i?I}, maka internal direct sumnya juga ada dan dinotasikan dengan G=(_i?I^?)N_i.
FUNGTOR HOM DAN FUNGTOR TENSOR PADA L-HOMOMORFISMA MODUL Denik Agustito
Euclid VOL 4, NO 2 (2017): EDISI JULI
Publisher : Universitas Swadaya Gunung Jati.

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (553.36 KB) | DOI: 10.33603/e.v4i2.427

Abstract

Sebuah modul adalah pasangan dari suatu R-modul bersama dengan suatu submodunya. Dari gagasan  modul juga analog dengan gagasan R-modul yaitu memiliki submodul, homomorfisma dan modul faktor. Kemudian sifat-sifat dari fungtor Hom dan fungtor Tensor jika dikenakan pada homomorfisma adalah bahwa fungtor Hom melestarikan monomorfisma dan fungtor Tensor melestarikan epimorfisma.Kata Kunci: fungtor, homomorfisma, modul, modul faktor, submodul
Pelatihan Media Pembelajaran Interaktif Berbantuan Geogebra Pada Pembelajaran Matematika Dewi Anggreini; Sukiyanto Sukiyanto; Denik Agustito; Annis Deshinta Ayuningtyas
J-ABDIPAMAS (Jurnal Pengabdian Kepada Masyarakat) Vol 7, No 1 (2023): April 2023
Publisher : IKIP PGRI Bojonegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30734/j-abdipamas.v7i1.2828

Abstract

ABSTRACTLearning mathematics is considered difficult material by students from elementary school to high school. Based on the results of observations made through interviews with Mathematics teachers, it was found that the problems experienced by students at SMAN 1 Sewon Bantul were found. The problems experienced by students are related to three dimensions and geometry transformation materials. In addition, there are still many students who cannot understand and visualize geometry material. How to make it easier to learn and understand abstract mathematics, especially geometry material, requires learning media, namely mathematics software. In learning mathematics, students need technology-based media that can represent their intuition in understanding a mathematical concept. The purpose of this service is to socialize GeoGebra Android as an open-source application to visualize geometry learning very accurately and more easily for high school students. The method used in this service activity is a training method through lectures, discussions, demonstrations, and assignments. With the use of applications in learning, it is expected to increase students' motivation and understanding in learning mathematics, especially geometry material. The results of the questionnaire from 24 respondents of class XII IPA 6 students obtained a percentage that as much as 72.7% agreed that learning using geogebra was very interesting and interactive in learning geometry material. Keywords: GeoGebra, geometry, training, math learning. ABSTRAKPembelajaran matematika dianggap materi yang sulit bagi para siswa. Didasari dari hasil observasi yang sudah dilakukan melalui wawancara bersama guru mata pelajaran Matematika ditemukan permasalahan yang dialami siswa di SMAN 1 Sewon Bantul. Permasalahan yang dialami oleh siswa yaitu terkait dimensi tiga dan materi transformasi geometri. Selain itu, siswa belum dapat memahami dan menvisualisasikan materi geometri. Cara mempermudah belajar dan memahami matematika yang abstrak khususnya materi geometri diperlukan media pembelajaran yaitu software matematika. Dengan demikian pada pembelajaran matematika, diperlukan suatu media berbasis teknologi yang dapat membantu siswa dalam memahami konsep matematika. Sehingga tujuan dari pengabdian untuk mensosialisasikan GeoGebra Android sebagai aplikasi open source untuk memvisualisasikan pembelajaran geometri dengan sangat akurat dan lebih mudah bagi siswa SMA. Metode yang digunakan dalam kegiatan pengabdian ini adalah metode pelatihan melalui ceramah, diskusi, demonstrasi, dan penugasan. Dengan penggunaan aplikasi dalam pembelajaran diharapkan dapat meningkatkan motivasi dan pemahaman siswa dalam pembelajaran matematika khususnya materi geometri. Hasil angket dari 24 responden siswa kelas XII IPA 6 didapatkan prosentase bahwa sebanyak 72,7% menyatakan setuju bahwa pembelajaran menggunakan geogebra sangat menarik dan interaktif dalam pembelajaran materi geometri.Kata Kunci: GeoGebra, geometri, pelatihan, pembelajaran matematika 
PENGARUH MEDIA PEMBELAJARAN MATEMATIKA BERBASIS GAME EDUKASI KAHOOT PADA PEMBELAJARAN TATAP MUKA TERBATAS Sukiyanto Sukiyanto; Betty Kusumaningrum; Dewi Anggreini; Denik Agustito
Jurnal Karya Pendidikan Matematika Vol 10, No 1 (2023): Jurnal Karya Pendidikan Matematika Volume 10 Nomor 1 Tahun 2023
Publisher : Universitas Muhammadiyah Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26714/jkpm.10.1.2023.21-26

Abstract

Learning is an activity that is arranged in a planned and systematic manner by involving information and the environment to facilitate students in learning. Efforts that can be made by schools to continue to achieve learning goals during the pandemic, one of which is by implementing limited face-to-face learning. Limited face-to-face learning is learning that implements the Covid-19 prevention process and pays attention to the preparations made by schools before the start of learning, to ensure that learning takes place safely, clearly determining the number of days and hours for the division of limited study groups to be carried out. To see the success of learning mathematics during the learning process. It takes one of the use of learning media that is fun for students. Thus, to overcome this problem, researchers chose to use online-based learning media, namely Kahoot. Kahoot can be accessed at www.kahoot.com which is connected to the internet. During the evaluation at the end of the lesson using the Kahoot application, it can keep students excited and not watching during the learning process. Thus, the purpose of this study is to find out how the use of kahoot learning media in the face-to-face learning process is limited to learning mathematics. While the instruments used in this study were tests, questionnaires and observations. The test questions used in the use of the Kahoot application are 5 questions for each quiz that is carried out 3 times. The test given to students is in the form of multiple-choice questions on the class VII integer material. The questionnaire in this study was in the form of closed questions or statements, aiming to find out the student's response to the evaluation tool that would be given.
Efektivitas Think Pair Share dengan Komik Ditinjau dari Kemampuan Memecahkan Masalah Matematis Rosafika Aziza; Sri Adi Widodo; Denik Agustito
Jurnal Pendidikan Matematika IKIP Veteran Semarang Vol 3 No 2 (2019): Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang
Publisher : Urogram Studi Pendidikan Matematika, Universitas IVET

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (905.841 KB) | DOI: 10.31331/medivesveteran.v3i2.858

Abstract

Tujuan dari penelitian ini bertujuan untuk mengetahui efektifitas model pembelajaran Think Pair Share dengan komik matematika ditinjau dari kemampuan memecahkan masalah matematis. Metode penelitian yang digunakan adalah eksperimen dengan desain Posttest-Only Control Design. Ukuran sampel adalah 68 siswa yang diambil menggunakan teknik cluster random sampling. Instrumen yang digunakan dalam penelitian ini adalah Tes Pemecahan Masalah Matematika. Teknik analisis data digunakan dengan menggunakan uji statistik parametrik yaitu uji-t. Hasil penelitian menunjukkan bahwa pada kemampuan memecahkan masalah matematis, model pembelajaran model Think Pair Share dengan menggunakan komik matematika lebih efektif daripada pembelajaran Think Pair Share tanpa menggunakan komik. Berkaitan dengan ini komik dapat digunakan sebagai alternatrif dalam pemilihan media pada pembelajaran matematika. Kata kunci: Think Pair Share, komik, kemampuan memecahkan masalah matematis. ABSTRACT The purpose of this study was to study the learning model of Paired Thinking Sharing with mathematical comics in terms of mathematical problem-solving skills. The research method used is an experiment with the design of Posttest-Only Control Design. The sample size was 68 students taken using cluster random sampling technique. The instrument used in this study is the mathematical problem-solving test. Data analysis technique used by using parametric statistical test is t-test. The results of the study show that , Think Pair Share learning model by using mathematical comics is more effective to solve mathematical problems than Think Pair Share learning without using comics. It is recommended to use comics as an alternative in selecting media in mathematics learning. Keywords: Think Pair Share, comic, mathematical problem solving skill.
Mathematical induction, transfinite induction, and induction over the continuum Denik Agustito; Sukiyanto Sukiyanto; Krida Singgih Kuncoro
International Journal of Mathematics and Mathematics Education Vol. 1 No. 2 (June 2023)
Publisher : EDUPEDIA Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (369.617 KB) | DOI: 10.56855/ijmme.v1i02.385

Abstract

This article examines three types of induction methods in mathematics: mathematical induction, transfinite induction, and induction over the continuum. If a statement holds true for all natural numbers, it is proven using mathematical induction. If a statement holds true for all ordinal numbers, it is proven using transfinite induction. Since induction over the continuum cannot be applied to a statement, when something is said to be proven true for every point in [a, b), the proof is done using induction over the continuum.
Construction of Ordinal Numbers and Arithmetic of Ordinal Numbers Denik Agustito; Krida Singgih Kuncoro; Istiqomah Istiqomah; Agus Hendriyanto
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 3 (2023): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i3.15039

Abstract

The purpose of this paper is to introduce the idea of how to construct transfinite numbers and study transfinite arithmetic. The research method used is a literature review, which involves collecting various sources such as scientific papers and books related to Cantorian set theory, infinity, ordinal or transfinite arithmetic, as well as the connection between infinity and theology. The study also involves constructing the objects of study, namely ordinal numbers such as finite ordinals and transfinite ordinals, and examining their arithmetic properties. The results of this research include the methods of constructing both finite and transfinite ordinal numbers using two generation principles. Both finite and transfinite ordinal numbers are defined as well-orderings that are also transitive sets. Arithmetic of finite ordinal numbers is well-known, but the arithmetic of transfinite ordinal numbers will be introduced in this paper, including addition, multiplication, and exponentiation.