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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika Jurnal Pendidikan Matematika Jurnal Pengajaran MIPA CAUCHY: Jurnal Matematika Murni dan Aplikasi Journal on Mathematics Education (JME) Jurnal Infinity Kreano, Jurnal Matematika Kreatif-Inovatif Journal on Mathematics Education (JME) EurekaMatika (Jurnal Online Matematika S1) Journal of the Indonesian Mathematical Society AKSIOMA: Jurnal Program Studi Pendidikan Matematika Jurnal Elemen Journal of Research and Advances in Mathematics Education Jurnal Gantang MaPan : Jurnal Matematika dan Pembelajaran Indonesian Journal of Science and Mathematics Education Jurnal SOLMA JTAM (Jurnal Teori dan Aplikasi Matematika) Journal of Authentic Research on Mathematics Eduacation (JARME) JPMI (Jurnal Pembelajaran Matematika Inovatif) MATHEMA: JURNAL PENDIDIKAN MATEMATIKA BERDAYA: Jurnal Pendidikan dan Pengabdian Kepada Masyarakat Hipotenusa : Journal of Mathematical Society Southeast Asian Mathematics Education Journal Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran Mosharafa: Jurnal Pendidikan Matematika Jurnal Eurekamatika JNPM (Jurnal Nasional Pendidikan Matematika) JRAMathEdu (Journal of Research and Advances in Mathematics Education) Jurnal Infinity Jurnal Pendidikan MIPA Mathematics Education Journal Journal on Mathematics Education Limits: Journal of Mathematics and Its Applications
Rizky Rosjanuardi
Universitas Pendidikan Indonesia
Humanities Computer Science & IT Education Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Mathematics Public Health Social Sciences Other

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Strategies and Representation Employed by Primary School Students in a Functional Relationship: A Focus on Generalization Process Sugianto, Andi; Rosjanuardi, Rizky; Lukman, Lukman
Jurnal Pendidikan MIPA Vol 25, No 4 (2024): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This investigation endeavours to investigate the strategies and representations employed by primary school students in the process of generalising patterns.. The research design employed to accomplish the objectives of this study is a case study design that explores the functional thinking of students. Data were collected from 16 students grade 5 primary school students through written tests related to generalizing pattern and interviews. Subsequent procedures involved interviewing 4 representative students to obtain comprehensive information regarding their responses to the written test. Students who used the recursive strategy focused on changing one quantity and could not make generalizations and students who used the correspondence strategy managed to build generalizations between pairs of corresponding variables and could use the generalization results appropriately. Students produce two categories of representations when generalizing a pattern. The majority of them employed verbal representation to represent the generalization, while the remainder employed pictorial representation. The research concludes that these distinctions are the result of their emphasis on pattern identification: students who observe recursive patterns are more likely to observe changes in a single variable, while correspondence patterns are associated with the corresponding pair of variables.      Keywords: recursive patterns, correspomdence, functional relationship, representation, generalization. DOI: http://dx.doi.org/10.23960/jpmipa/v25i4.pp2013-2028
Homomorphisms of Complex Kumjian-Pask Algebras Rosjanuardi, Rizky; Mulyaning Asih, Endang Cahya; Masta, Al Azhary
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1262.328-337

Abstract

Let Λ and Γ be row finite k-graphs without sources. We show that ∗-algebra homomorphisms ϕ : KPC(Λ) → KPC(Γ) extend to ∗-algebra homomorphisms ϕ¯ : C∗(Λ) → C∗(Γ). We also examine necessary and sufficient conditions for algebra homomorphisms between complex Kumjian-Pask algebras KPC(Λ) and KPC(Γ) which are ∗-preserving.
Order Ideals on Lexicographic Direct Sum of Three Totally Ordered Abelian Groups Latifah, Dian; Gozali, Sumanang Muhtar; Rosjanuardi, Rizky; Albania, Imam Nugraha
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 1 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v9i1.24116

Abstract

Order ideals play an important role in the study of abstract algebra, especially in the study of ordered groups. In this paper, we focus on the study of order ideals in lexicographic direct sums of totally ordered Abelian groups. We begin by examining the order ideals in the group of integers , and the group of real numbers  It is shown that there are no non-trivial order ideals in both groups. Next, we revisit the order ideals in the lexicographic direct sum of two totally ordered Abelian groups,  The only non-trivial order ideal of  is  Furthermore, our study extends to the lexicographic direct sum of three totally ordered Abelian groups:  and  We investigate the non-trivial order ideals in these structures. It is stated that the non-trivial order ideals of  are only  and  Furthermore, the non-trivial order ideals of  are only  and .Keywords: order ideal; lexicographic order; direct sum.
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