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All Journal AKSIOMA: Jurnal Program Studi Pendidikan Matematika Union: Jurnal Ilmiah Pendidikan Matematika Beta: Jurnal Tadris Matematika JE (Journal of Empowerment) JRAMathEdu (Journal of Research and Advances in Mathematics Education) Journal on Mathematics Education Jurnal Pengabdian Kepada Masyarakat Indonesia
Nadya Syifa Utami
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Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Computer Science & IT Education Engineering Mathematics Public Health Social Sciences Other

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A didactical design for introducing the concepts in algebraic forms using the theory of praxeology Nadya Syifa Utami; Sufyani Prabawanto; Nanang Priatna
Beta: Jurnal Tadris Matematika Vol. 15 No. 1 (2022): Beta May
Publisher : Universitas Islam Negeri (UIN) Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20414/betajtm.v15i1.508

Abstract

[English]: This phenomenological study aims to thoroughly investigate the meaning of concepts in algebraic forms developed by students, both in the past learning process and in the didactical design implementation, as well as a teacher's instructional experiences as the basis for preparing a didactical design. Six seventh-grade students and a mathematics teacher participated in the study, comprising three phases: (1) analyzing students’ learning obstacles through a test and teacher’s interview, (2) preparing hypothetical learning trajectory (HLT) and didactical design based on the identification of the obstacles and in-depth interviews with the teacher, and (3) implementing the didactical design. This study revealed that students have a didactical obstacle because the teacher delivers formal definitions of algebraic form concepts followed by examples of problems. It results in epistemological obstacles, as students' understanding of the concepts is limited according to what the teacher explains. Furthermore, an HLT was developed that bridges students' arithmetic knowledge with algebra. The series of tasks were organized referring to the theory of praxeology by taking the daily-life context Let's Save. During the learning process, students use different representations, such as symbols and letters, to demonstrate the variable, reason for using a particular representation, and state the definition of a variable based on their work. The procedure was also applied to the remaining four concepts. Through the tasks, students can actively construct their conceptual understanding of the concepts in the algebraic forms. [Bahasa]: Penelitian fenomenologi ini bertujuan untuk mengkaji secara mendalam pemaknaan siswa terhadap konsep-konsep dalam bentuk aljabar, baik pada proses belajar sebelumnya maupun pada implementasi desain didaktis, serta pengalaman mengajar guru sebagai landasan dalam membuat desain didaktis. Enam siswa kelas 7 dan seorang guru matematika menjadi partisipan pada penelitian ini, yang terdiri dari tiga tahap, yaitu: (1) analisis hambatan belajar siswa melalui uji tes dan wawancara guru, (2) menyiapkan lintasan belajar hipotetik (HLT) siswa dan desain didaktis berdasarkan identifikasi hambatan belajar siswa dan wawancara mendalam dengan guru, dan (3) mengimplementasikan desain didaktis kepada siswa. Hasil penelitian ini menunjukkan bahwa siswa mengalami hambatan didaktis yang disebabkan oleh cara guru mengajar. Guru cenderung memberikan definisi formal pada konsep-konsep bentuk aljabar dilanjutkan dengan contoh-contoh soal. Hal ini mengakibatkan siswa mengalami hambatan yang bersifat epistemologis, dimana pengetahuan siswa terhadap konsep-konsep bentuk aljabar terbatas berdasarkan apa yang dijelaskan oleh guru. Kemudian, dirancang HLT yang menjembatani pengetahuan aritmatika siswa dengan aljabar. Rangkaian tugas disusun berdasarkan teori praxeology dengan mengambil konteks kehidupan sehari-hari bertema Ayo Menabung. Selama proses pembelajaran, siswa menggunakan berbagai macam representasi seperti simbol dan huruf, untuk menunjukkan variabel, mengemukakan alasan dari penggunaan representasi tertentu, dan mengungkapkan definisi variabel sesuai dengan hasil pekerjaannya. Hal ini juga berlaku pada keempat konsep lainnya. Melalui tugas yang diberikan, siswa dapat berpartisipasi aktif dalam membangun pengetahuan tentang konsep-konsep dalam bentuk aljabar.
ASSESSING STUDENTS' MATHEMATICAL PROBLEM-SOLVING ABILITY Sufyani Prabawanto; Nadya Syifa Utami; Aneu Pebrianti
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 12, No 2 (2023)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v12i2.7346

Abstract

Students' ability to solve mathematical problems is the most important part of learning mathematics. Therefore, assessing students' ability to solve mathematical problems is one of the tasks of mathematics teachers that must be done. This study aims to develop a test instrument to assess students' ability to solve mathematical problems. The research method used Systematic Literature Review (SLR) by analyzing primary sources from books and articles. Before developing an instrument to assess students' ability to solve mathematical problems, the variables involved in mathematical problem solving were first analyzed. Furthermore, there are four domains involved in the instrument development framework carried out. They are resources, heuristics, control, and belief system. Based on this study, it was found that: (1) the aspects correlated with mathematical problem solving are reasoning, decision making, critical thinking, and creative thinking; (2) the types of tasks related to mathematical problem solving can be viewed from the structure, the number of essential steps needed to reach the solution, its orientation, and its presentation.
Pendampingan Penyusunan Soal-Soal berbasis Numerasi dalam Pembelajaran Matematika melalui Workshop untuk Guru Sekolah Dasar Herman, Tatang; Prabawanto, Sufyani; Utami, Nadya Syifa; Mangiri, Gita Rani Putri; Mefiana, Syifa Ananda; Meilani, Rini
JE (Journal of Empowerment) Vol 5, No 2 (2024): DESEMBER
Publisher : Universitas Suryakancana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35194/je.v5i2.4634

Abstract

Abstrak Numerasi merupakan keterampilan mendasar yang krusial bagi setiap individu, namun siswa di Indonesia, termasuk Kabupaten Garut, sering menghadapi kesulitan dalam memahami numerasi. Untuk mengatasi hal ini, diperlukan peningkatan kompetensi guru dalam menyusun soal berbasis numerasi. Artikel ini menguraikan pelaksanaan workshop “Pembelajaran Numerasi di Sekolah Dasar” yang dilaksanakan oleh tim dosen dan mahasiswa Pendidikan Matematika Universitas Pendidikan Indonesia. Kegiatan ini dilakukan melalui perencanaan, pelaksanaan, dan evaluasi, bekerja sama dengan Institut Pendidikan Indonesia (IPI) Garut. Workshop mencakup penyampaian materi dan pendampingan penyusunan soal numerasi, melibatkan mahasiswa Pendidikan Guru Sekolah Dasar IPI Garut dan guru sekolah dasar setempat. Hasil evaluasi menunjukkan peningkatan wawasan serta keterampilan peserta dalam merancang soal numerasi sesuai dengan konten, konteks, dan proses yang relevan. AbstractNumeracy is a crucial fundamental skill for every individual, but students in Indonesia, including Garut Regency, often face difficulties in understanding numeracy. To overcome this, it is necessary to increase teacher competence in developing numeracy-based questions. This article describes the implementation of the workshop ‘Numeracy Learning in Elementary Schools’ conducted by a team of lecturers and students of Mathematics Education Universitas Pendidikan Indonesia. This activity was carried out through planning, implementation and evaluation, in collaboration with the Indonesian Institute of Education (IPI) Garut. The workshop included material delivery and assistance in preparing numeracy questions, involving IPI Garut Elementary School Teacher Education students and local elementary school teachers. The evaluation results showed an increase in participants' insights and skills in designing numeracy questions according to relevant content, context, and process.
How do Indonesian students learn function concepts? A praxeological analysis of textbook Utami, Nadya Syifa; Prabawanto, Sufyani; Suryadi, Didi
Journal on Mathematics Education Vol. 15 No. 2 (2024): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v15i2.pp451-472

Abstract

The conception of functions, defined as the relationship between magnitudes or sets of ordered pairs, varies among students depending on the contextualization of the concept within the curriculum, notably in school textbooks. This investigation endeavors to scrutinize the approach taken by Indonesian textbooks in introducing the function concept at the lower secondary school level. An eighth-grade mathematics textbook was scrutinized utilizing praxeology, the fundamental construct of the Anthropological Theory of the Didactic. The analytical process unfolded in three main phases: examination of the praxis block, analysis of the logos block, and evaluation of the textbook's praxeological structure in collaboration with experts and educators. The examination revealed that the Indonesian textbook organizes functions into three distinct local praxeological frameworks: functions as sets, bijective functions, and functions as relationships between magnitudes. The praxis primarily emphasizes tasks and techniques for functions formulated by sets, shaping the landscape of function learning in Indonesia. Consequently, a notable epistemological gap within logos stems from the disparity between two conceptions of functions: functions as sets and analytical expressions. These findings underscore the necessity for an alternative praxeological arrangement of functions, mainly to bridge the divide between the set-theoretical definition and the analytical expression of a function.
An analysis of mathematics textbook of Indonesian curriculum based on functional thinking framework Utami, Nadya Syifa; Prabawanto, Sufyani; Dahlan, Jarnawi Afgani
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 8 Issue 4 October 2023
Publisher : Lembaga Pengembangan Publikasi Ilmiah dan Buku Ajar, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v8i4.1928

Abstract

Functional thinking (FT) is individual’s cognitive process to identify the relation between variables and is essential for students to learn algebra. However, not much studies addressing the examination of the contents of FT problems within school mathematics textbooks, particularly in Indonesian curriculum. This study aims to describe the mathematics problems presented in junior high school mathematics textbooks of the new Indonesian curriculum (Kurikulum Merdeka) based on the FT framework. To reach this aim, the student mathematics textbook published by The Ministry of Education, Culture, Research, and Technology (Kemdikbud) in 2022 was used to conduct the analysis. The textbooks used were seventh and eighth-grade mathematics textbooks. The data was collected by observing the textbook's contents in the algebra domain. The analysis was based on the framework of FT consisting of recursive patterns, covariance, and correspondence. The results show that the FT tasks appear in the learning of algebraic terms, modelling with algebra, and linear functions. Moreover, this study also found that tasks in each topic develop students’ FT at different stages. Tasks in algebraic terms fulfill all FT’s stages in hierarchical order, tasks in modelling with algebra focus on the correspondence stage, and tasks in linear functions include all FT stages but not in chronological order; that is, recursive patterns, correspondence, and then covariation. In conclusion, this study finds that algebraic problems provided by Indonesian textbooks already support students’ FT. Thus, designing more FT tasks and connecting each task to different algebra topics might help students develop their FT.
Pembelajaran Bentuk-Bentuk Aljabar Berlandaskan pada Teori Situasi Didaktis pada Siswa Sekolah Menengah Atas di Yayasan Graha Asuh Jabal 165 Kabupaten Bandung Nadya Syifa Utami; Aswin; Ade Riastuti; Woro Anglia Banda Sutomo; Khairunnisa; Nurdiyah Kurniati; Putri Armania; Al Jupri
Jurnal Pengabdian kepada Masyarakat Indonesia (JPKMI) Vol. 3 No. 1 (2023): April : Jurnal Pengabdian Kepada Masyarakat Indonesia (JPKMI)
Publisher : Pusat Riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jpkmi.v3i1.1217

Abstract

Algebra becomes an essential topic for all school mathematics topics. Nevertheless, many students still experience difficulties in learning algebra, one of them is senior high school students in Yayasan Graha Asuh Jabal 165, Kabupaten Bandung. Lack of effective learning activity in the class becomes the primary source for students’ difficulty. As an attempt to overcome this problem, the theory of didactic situation (TDS) could be adopted as a reference to implement the learning activity that possibly engages the students to be more active in the learning process. Therefore, this activity is held to help students in understanding the concept of algebraic forms with the learning based on the TDS. The method of this activity consisted of three stages, that was 1) the analysis of students’ difficulty in understanding the algebraic forms, 2) the learning implementation based on the TDS, and 3) the evaluation of students’ learning. The result shows that in the analysis stage, many students did not understand the concept of variables, coefficients, constants, equations, and algebraic operations. The next stage is learning implementation based on the TDS which comprises of the situation of action, formulation, validation, and institutionalization. The last one is evaluation where all students manage to understand the concept of algebraic forms and their application in daily life. This shows an improvement of their conceptual understanding in algebra.
“They give students too much for their age”: Toward deep learning from primary school teachers’ perspective through interpretive phenomenology Sahara, Sani; Chaled, Mohammad Idham; Indrawijaya, Fizar; Utami, Nadya Syifa; Yen, Phoong Seuk
UNION : Jurnal Ilmiah Pendidikan Matematika Vol 13 No 4 (2025)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/union.v13i4.21296

Abstract

The Indonesian Deep Learning “Pembelajaran Mendalam” initiative represents an effort to address long-standing deficits in students’ critical thinking and higher-order skills. However, for teachers on the ground, the policy often collides with a very different reality. This interpretive phenomenological study explores the challenges associated with the initiative by focusing on the lived experiences of elementary school teachers in South Jakarta as they navigate the new mandate. Rather than measuring implementation fidelity, the analysis reveals the difference between policy and teachers’ everyday experience. Teachers describe a professional world dominated by the immediate demands of classroom management, in which abstract policy goals feel largely unattainable. They express a deep sense of overload—both logistical and developmental—arguing that the curriculum demands forms of philosophical reasoning from children who are still mastering basic concrete concepts. Moreover, the implementation is experienced visible in workshops and policy documents but failing in daily classroom practice. This study contributes to the literature by demonstrating that the difficulties surrounding Pembelajaran Mendalam not from teacher resistance but from a policy design that insufficiently accounts for the developmental and practical realities of elementary education.
Meaning in transition: A didactic–hermeneutic inquiry into how the concept of variables transposed from teaching to student understanding Utami, Nadya Syifa; Diana, Hafsah Adha; Sahara, Sani; Yen, Phoong Seuk
UNION : Jurnal Ilmiah Pendidikan Matematika Vol 13 No 4 (2025)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/union.v13i4.21568

Abstract

The concept of variable is central to algebraic thinking, yet many students struggle to understand it due to how it is introduced in classroom practice. This study investigates the didactic transposition of the meaning of variable from the knowledge intended by the teacher to the knowledge constructed by students. Employing a qualitative approach grounded in the Anthropological Theory of the Didactic (ATD) and hermeneutic analysis, the study examines teaching materials, teacher and student interviews, and students’ written assessments in a junior high school context. The findings reveal an epistemic shift in the meaning of variable: although the teacher intended to introduce variables as unknown quantities within algebraic relationships, classroom instruction predominantly emphasized symbolic manipulation and procedural equation solving. As a result, students interpreted variables as static placeholders for fixed values rather than as quantities that can vary. This led to a restricted, object-based understanding of variables, limiting students’ ability to engage with generalization and relational reasoning. The study concludes that prevailing didactical practices unintentionally simplify and constrain the conceptual richness of variables. This study contributes to the field of mathematics education by advocating for a pedagogical shift that explicitly bridges procedural equation solving with the dynamic and varying nature of algebraic reasoning.
Co-Authors Ade Riastuti Ade Riastuti Al Jupri Aneu Pebrianti Aswin Aswin Chaled, Mohammad Idham Didi Suryadi Hafsah Adha Diana Indrawijaya, Fizar Jarnawi Afgani Dahlan Khairunnisa Khairunnisa Mangiri, Gita Rani Putri Mefiana, Syifa Ananda Meilani, Rini Nanang Priatna Nurdiyah Kurniati Nurdiyah Kurniati Putri Armania Putri Armania Sahara, Sani Sufyani Prabawanto, Sufyani Tatang Herman, Tatang Woro Anglia Banda Sutomo Woro Anglia Banda Sutomo Yen, Phoong Seuk