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All Journal Delta: Jurnal Ilmiah Pendidikan Matematika Komunita: Jurnal Pengabdian dan Pemberdayaan Masyarakat
Sujatmiko, Ponco
Pendidikan Matematika FKIP Universitas Sebelas Maret
Economics, Econometrics & Finance Education Environmental Science Mathematics Public Health Social Sciences

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Pemahaman Mahasiswa Terhadap Objek Matematika : Kasus Pada Teori Grup Dyah Ratri Aryuna; Ponco Sujatmiko
Delta: Jurnal Ilmiah Pendidikan Matematika Vol 11, No 2 (2023): DELTA : JURNAL ILMIAH PENDIDIKAN MATEMATIKA
Publisher : Universitas Pekalongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31941/delta.v11i2.3470

Abstract

The aim of this research is to describe students' understanding of the objects studied in group theory, namely objects that have meaning in a context and objects that have no meaning. Understanding objects in group theory is very important because it is an initial requirement for further study of group theory. This research is qualitative research. The subjects in this research were two students in the fourth semester of the Mathematics Education Study Program, FKIP UNS. Data was obtained from observations in lectures, lecture notes and written test results. The results of the research show that students' understanding of mathematical objects that have meaning in a context and those that do not have meaning tends to be relational understanding. Subjects can determine the outcome of a problem and can also explain the reasons for the answer. This can be seen from what students do, namely: (i). Mention one member of the set to show that the set is non-empty with an illustration, (ii). Claiming one of the members of the set is an and testing it using the definition of an identity element, (iii). Examining one by one or any member of the set and claiming the inverse element by testing it using the inverse definition
Pemahaman Mahasiswa Terhadap Objek Matematika : Kasus Pada Teori Grup Sujatmiko, Ponco; Aryuna, Dyah Ratri
Delta: Jurnal Ilmiah Pendidikan Matematika Vol 11, No 2 (2023): DELTA : JURNAL ILMIAH PENDIDIKAN MATEMATIKA
Publisher : Universitas Pekalongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31941/delta.v11i2.3470

Abstract

The aim of this research is to describe students' understanding of the objects studied in group theory, namely objects that have meaning in a context and objects that have no meaning. Understanding objects in group theory is very important because it is an initial requirement for further study of group theory. This research is qualitative research. The subjects in this research were two students in the fourth semester of the Mathematics Education Study Program, FKIP UNS. Data was obtained from observations in lectures, lecture notes and written test results. The results of the research show that students' understanding of mathematical objects that have meaning in a context and those that do not have meaning tends to be relational understanding. Subjects can determine the outcome of a problem and can also explain the reasons for the answer. This can be seen from what students do, namely: (i). Mention one member of the set to show that the set is non-empty with an illustration, (ii). Claiming one of the members of the set is an and testing it using the definition of an identity element, (iii). Examining one by one or any member of the set and claiming the inverse element by testing it using the inverse definition
Integrasi TKA Matematika, Etnomatematika, dan Artificial Intelligence dalam Peningkatan Literasi Guru SD Rubono Setiawan; Ikrar Pramudya; Mardiyana Mardiyana; Ponco Sujatmiko; Dyah Ratri Aryuna
KOMUNITA: Jurnal Pengabdian dan Pemberdayaan Masyarakat Vol 5 No 4 (2026): November
Publisher : PELITA NUSA TENGGARA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.60004/komunita.v5i4.928

Abstract

The development of mathematical literacy in primary schools faces significant challenges due to shifts in national assessment policies and the rapid evolution of digital technology. This community service initiative aims to enhance the professional capacity and digital literacy of primary school teachers through integrated training covering the Academic Ability Test (TKA) in Mathematics, local ethnomathematics, and the application of Artificial Intelligence (AI). The implementation methodology includes coordination, needs assessment, interactive workshops, guided practical mentoring, and evaluation, involving teachers from private primary schools in Karanganyar Regency in July 2026. The outcomes demonstrate a significant improvement in teacher competency, evidenced by: (1) a deeper understanding of TKA Mathematics assessment instruments based on Higher Order Thinking Skills (HOTS); (2) the development of draft ethnomathematics teaching materials that incorporate local wisdom, such as the temples and batik traditions of Karanganyar; and (3) the creation of a prototype for an adaptive, interactive, AI-assisted mathematics game for primary school students. From a managerial perspective, this initiative encourages school administrators to integrate technology-based learning and establish professional learning communities among teachers, thereby fostering a sustainable capacity for independent innovation. This integration model holds great potential for broader replication to support the achievement of inclusive, high-quality education.
Analisis Prakseologi Terhadap Soal Limit Pada Materi Geometri: Kasus Membuat Dan Membuktikan Dugaan Dyah Ratri Aryuna; Ponco Sujatmiko
Delta: Jurnal Ilmiah Pendidikan Matematika Vol. 13 No. 1 (2025): DELTA : JURNAL ILMIAH PENDIDIKAN MATEMATIKA
Publisher : Universitas Pekalongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31941/delta.v13i1.5166

Abstract

The experience of making and proving mathematical conjectures is valuable for students. The element of doubt in the conjecture gives students access to reasoning. All Calculus textbooks discuss limits, but most practice problems on the subject of limits are not specifically made as practice problems for making and proving conjectures. This study aims to describe problems on the subject of limits that can be used as practice questions to make and prove conjectures. The object of this research is the questions on the subject of limits related to geometry material in the book Calculus, 7th edition by James Stewart. This research method is a content analysis based on the praxeology model which consists of four elements of analysis, namely tasks, techniques, technology, and theory. The results show that the problems can be identified as exercises in making and proving conjectures, the steps in making and proving conjectures can be used to solve the problem, justification can be done to apply the steps in making and proving conjectures, and there is a theory used in justifying the steps in making and proving conjectures.
Co-Authors Agustin, Ratna Dyah Ratri Aryuna Kurniawati, Ira Mardiyana Mardiyana Pramudya, Ikrar Pratama, Mahendra Dany Rubono Setiawan Rubono Setiawan