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All Journal Jurnal Karya Pendidikan Matematika JIPM (Jurnal Ilmiah Pendidikan Matematika) Jurnal Fourier Union: Jurnal Ilmiah Pendidikan Matematika SCIENCE TECH: Jurnal Ilmiah Ilmu Pengetahuan dan Teknologi SOSIOHUMANIORA: Jurnal Ilmiah Ilmu Sosial dan Humaniora JMPM: Jurnal Matematika dan Pendidikan Matematika Formatif: Jurnal Ilmiah Pendidikan MIPA JTAM (Jurnal Teori dan Aplikasi Matematika) Teorema: Teori dan Riset Matematika COMPTON: Jurnal Ilmiah Pendidikan Fisika Psychology, Evaluation, and Technology in Educational Research Indonesian Journal of Mathematics Education Delta: Jurnal Ilmiah Pendidikan Matematika Jurnal Review Pendidikan dan Pengajaran (JRPP) Abdimas Universal Square : Journal of Mathematics and Mathematics Education InPrime: Indonesian Journal Of Pure And Applied Mathematics Community Empowerment Mosharafa: Jurnal Pendidikan Matematika Unnes Journal of Mathematics J-ABDIPAMAS (Jurnal Pengabdian Kepada Masyarakat) Euclid Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang International Journal of Mathematics and Mathematics Education (IJMME) IndoMath: Indonesia Mathematics Education
Denik Agustito
Universitas Sarjanawiyata Tamansiswa
Agriculture, Biological Sciences & Forestry Arts Humanities Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Economics, Econometrics & Finance Education Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Materials Science & Nanotechnology Mathematics Physics Public Health Social Sciences Other

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Mathematical communication skills in the context of linear equations: A study on students' proficiency and self-esteem Kuncoro, Krida Singgih; Kusumaningrum, Betty; Agustito, Denik; Meirani, Fajar; Lestari, Ega Sri
Psychology, Evaluation, and Technology in Educational Research Vol. 6 No. 1 (2023)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/petier.v6i1.178

Abstract

This research aimed to analyze the mathematical communication skills of eighth-grade students in junior high school regarding the topic of linear equations. The population of this study consisted of eighth-grade students in one of the schools in Yogyakarta. Prior to selecting the subjects, a self-esteem questionnaire was administered, and then 6 students were randomly chosen, with 3 students having high self-esteem and 3 students having medium self-esteem. The selected students were then given a written test on mathematical communication skills and an interview. The data collected for this study included the results of the written test and the interviews. Based on the data analysis conducted, it was found that among the six selected students, SP1 was able to answer the questions using written text, drawing, and mathematical expressions, but their communication of the answers was not accurate. SP2 exhibited higher mathematical communication skills compared to the other subjects. SP3 had low mathematical communication skills, SP4 had moderate communication skills, SP5 had low mathematical communication skills, and SP6 could be considered to have moderate communication skills. Therefore, it is expected that teachers can provide students with the freedom to solve problems according to their own understanding and ideas.
The Effectiveness of Worksheet-Based Tri-N on Students' Mathematical Critical and Creative Thinking Abilities Material on Linear Equations in One Variable Suroyaningsih, Putri; Widodo, Sri Adi; Agustito, Denik; Perbowo, Krisna Satrio
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol 12, No 2 (2024)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v12i2.19052

Abstract

This research is motivated by the fact that most junior high school students have low critical and creative thinking abilities when facing mathematical problems. Even though these two abilities can be used as a basis for solving a mathematical problem, this research aims to determine the effectiveness of Tri-N based LKPD on students' critical thinking and creative thinking skills in One Variable Linear Equations material. The research method used is an experimental method with a Posttest-Only Control Design. The sample size was 39 students in a private junior high school in Piyungan, Bantul. This sample was taken using a cluster random sampling technique. The instrument used in this research is a mathematical problem test, which aims to measure critical and creative thinking abilities in dealing with mathematical problems. The data analysis technique used is the MANOVA test. The research results show that learning mathematics on equations and linear inequalities in one variable using Tri-N based worksheets does not significantly affect students' ability to think critically and creatively. In connection with the results of this research, Tri-N based LKPD on equations and inequalities in one variable can be used as an alternative teaching material for mathematics learning in equations and inequalities in one variable.Penelitian ini dilatarbelakangi bahwa sebagian besar siswa SMP memiliki kemamppuan berpikir kritis dan kreatif masih rendah saat menghadapi masalah matematis. Padahal dua kemampuan ini dapat digunakan sebagai dasar untuk menyelesaikan suatu permasalahan matematika. Penelitian ini bertujuan untuk mengetahui efektivitas LKPD berbasis Tri-N terhadap kemampuan berpikir kritis dan berpikir kreatif siswa pada materi Persamaan Linier Satu Variabel. Metode penelitian yang digunakan adalah metode eksperimen dengan desain Posttest-Only Control Design. Ukuran sampel sebesar 39 siswa SMP swasta di Piyungan, Bantul. Sampel ini diambil dengan teknik cluster random sampling. Instrumen yang digunakan dalam penelitian ini adalah tes masalah matematis yang bertujuan untuk mengukur kemampuan berpikir kritis dan kreatif dalam mengahdapi masalah matematis. Teknik analisis data yang digunakan adalah uji MANOVA. Hasil penelitian menunjukkan bahwa pembelajaran matematika pada materi persamaan dan pertidaksamaan linier satu variabel menggunakan LKS berbasis Tri-N tidak berpengaruh signifikan terhadap kemampuan siswa dalam berpikir kritis dan kreatif. Berkaitan dengan hasil penelitian ini, LKPD berbasis Tri-N pada materi persamaan dan pertidaksamaan satu variabel dapat digunakan sebagai alternatif bahan ajar pembelajaran matematika pada materi persamaan dan pertidaksamaan satu variabel.
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.
Mathematical induction, transfinite induction, and induction over the continuum Agustito, Denik; Sukiyanto, Sukiyanto; Kuncoro, Krida Singgih
International Journal of Mathematics and Mathematics Education Vol. 1 No. 2 (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.
Direct Product dan Direct Sum dari Keluarga Grup Abelian Agustito, Denik; Kuncoro, Krida Singgih; Sukiyanto, Sukiyanto; Istiqomah, Istiqomah
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 7 No 2 (2022): September 2022 - February 2023
Publisher : Prodi Pendidikan Matematika 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.
Meta-Analysis Study: Effectiveness of Using GeoGebra on Students' Mathematical Ability Anajihah, Novita Maharani; Sulistyowati, Fitria; Harini, Esti; Agustito, Denik; Nugraheni, Zahra
IndoMath: Indonesia Mathematics Education Vol 8, No 1 (2025): February 2025
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/indomath.v8i1.140

Abstract

The use of GeoGebra in mathematics education positively impacts students' mathematical abilities. This meta-analysis examines its overall effectiveness using 10 studies selected from Google Scholar and Scopus based on inclusion criteria. Data were analyzed using RStudio, revealing an overall effect size of 1.31, indicating a highly positive impact. The study also analyzed variability with four moderator variables: education level, publication type, control class type, and mathematical ability. Results show that GeoGebra significantly enhances mathematical abilities based on publication source and control type but is not influenced by education level. Notably, GeoGebra effectively improves students' conceptual understanding of mathematics, making it a valuable tool for enhancing mathematical skills in education. These findings emphasize the significant role of GeoGebra in fostering students' mathematical comprehension.
The Hilbert space L2 and its self adjoint linear operators in quantum mechanics Agustito, Denik; Setyawan, Dhimas Nur; Sebastian, Rio; Erlangga, Sony Yunior; Trisniawati
COMPTON: Jurnal Ilmiah Pendidikan Fisika Vol 11 No 2 (2025): Compton: Jurnal Ilmiah Pendidikan Fisika
Publisher : Prodi Pendidikan Fisika Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/cjipf.v11i2.18911

Abstract

This paper aims to explain the relationship between the concepts of state, position, and momentum in Quantum Mechanics and the mathematical objects in the study of Functional Analysis. The relationship between functional analysis and quantum mechanics is that if there is the notion of state space, momentum and position, then the relationship with functional analysis is that the state space forms a Hilbert space and momentum and position are seen as operators in the Hilbert space. The method used in this research is a literature review, which conducts a comprehensive review of literature, including textbooks and journals on functional analysis, operator theory, Hilbert spaces, and quantum mechanics. The results and conclusions of this study reveal that the state in Quantum Mechanics forms a class of all sets of square-integrable functions, represented by , which possesses the structure of a complex Hilbert space. Furthermore, Position and momentum in Quantum Mechanics are represented as self-adjoint linear operators on  L2, a complex Hilbert space of square-integrable functions.
Co-Authors Anajihah, Novita Maharani Annis Deshinta Ayuningtyas Asrika, Nila Bagas Sanyoto Betty Kusumaningrum Dafid Setiana Dafid Slamet Setiana Deri Fathurahman Arif Dewi Anggreini Dewi Anggreini Dhimas Nur Setyawan Dwi Nova Lestari Esti Harini Esti Harini, Esti Fitria Sulistyowati Hendriyanto, Agus Hesti Anggi Astuti Irham Taufiq Irham Taufiq, Irham istiqomah istiqomah Istiqomah Istiqomah Krida Singgih Kuncoro Krisna Satrio Perbowo Kusmanto, Benediktus Kusumaningrum, Betty Ledi, Fixaris Lestari, Ega Sri Meirani, Fajar Muhammad Irfan Muhammad Irsyad Nella Evina Marlena Nugraheni, Zahra Puspitaningati, Ajeng Restu Hayyu Khoirunnisa Riawan Yudi Purwoko Rosafika Aziza Sebastian, Rio Sony Yunior Erlangga Sri Adi Widodo Sri Adi Widodo Sri Adi Widodo Sukiyanto Sukiyanto Sukiyanto, Sukiyanto Suroyaningsih, Putri Trisniawati Tsalitsatul Maulidah Turyanto Turyanto Yuliani, Rika