Abstract List
Abstract ID Status

SNM- ()
Dwi Novita
(Universitas Mataram)

SNM- 15 (Oral)
Dwi Novita
(Universitas Mataram)

Pre-Service Teachers' Levels of Understanding in Differential Equations: A SOLO Taxonomy Perspective
This research investigates the types and patterns of errors made by pre-service mathematics teachers in solving Ordinary Differential Equations (ODEs), analyzed through the lens of the SOLO (Structure of the Observed Learning Outcome) taxonomy. Using a qualitative descriptive method, data were gathered from 29 participants through written assessments and semi-structured interviews. The analysis identified various forms of conceptual and technical errors, with conceptual misunderstandings being the most prevalent. The study revealed that most students were situated at the lower levels of the SOLO taxonomy, indicating fragmented and surface-level understanding. Only a small number of students demonstrated integrated thinking at the relational level, and very few reached the extended abstract level. The findings suggest that limited mastery of prerequisite mathematical skills—such as algebraic manipulation and calculus—contributes significantly to students' difficulties in solving ODEs. It is recommended that instructional strategies be developed to reinforce foundational concepts and promote progressive cognitive engagement aligned with the SOLO taxonomy framework.

SNM- 273 (Participant)
Zulfiani Saniati Aoni
(Universitas Mataram )

SNM- 12 (Oral)
Budi Rudianto
(Universitas Andalas)

Existence and Uniqueness in Infinite-Horizon LQ Control via Sontag-Based Riccati Analysis
The existence and uniqueness of solutions in the infinite-horizon linear quadratic (LQ) optimal control problem for time-varying dynamic systems are addressed in this paper. The classical Sontag Theorem is extended to the semi-infinite interval to enable a rigorous analysis of the Riccati differential equation under the assumptions of measurability and essential boundedness (m.e.b.) of the system matrices and cost parameters. It is proven that the Riccati matrix solution P(t) exists globally, remains positive definite, and converges with the steady-state solution P_∞ as t→∞. The uniqueness of the optimal state-control pair (ξ,ω) is subsequently established through an adjoint system approach involving the co-vector β(t). Simulations conducted on a satellite attitude control system demonstrate results that support the theoretical findings, including convergence and robustness against periodic disturbances. The proposed framework is considered relevant for applications in adaptive control, robust estimation, and filtering of time-varying parameter systems. This study is expected to provide a strong theoretical foundation for optimal control design in dynamic environments and to open avenues for further research in stochastic and discrete-time systems.

SNM- 29 (Oral)
Sunismi -
(Universitas Islam Malang (Unisma))

Eco-Green Mathematics and Artificial Intelligence: A Systematic Review on Sustainable Mathematical Literacy
This research aims to systematically review the relationship between Artificial Intelligence (AI), Eco-Green Mathematics, and sustainable mathematics literacy in the context of 21st century education. AI has transformed education through personalized learning, administrative efficiency, and the integration of big data and machine learning. On the other hand, Eco-Green Mathematics focuses on mathematical modeling that considers ecological sustainability. Sustainable mathematics literacy is needed to equip the younger generation with the ability to think critically in dealing with global environmental issues. The study analyzed 32 sources from reputable journals indexed by Scopus to identify the roles and challenges of integrating these three components. The results show that AI and Eco-Green Mathematics can strengthen sustainable mathematics literacy if developed in a contextual and ethical curriculum. The study recommends the development of a new pedagogical framework that combines smart technology with sustainability values.

SNM- 27 (Participant)
amrullah amrullah
(Unram)

SNM- 33 (Oral)
Ariestha Widyastuty Bustan
(Universitas Pasifik Morotai)

Bilangan Terhubung Pelangi Lokasi pada Graf Shackle Lingkaran
Pewarnaan pelangi lokasi pada graf merupakan konsep yang menjamin keberadaan lintasan titik pelangi antara setiap pasangan titik, sekaligus memastikan keunikan setiap titik berdasarkan kode pelanginya. Lintasan titik pelangi didefinisikan sebagai lintasan yang titik-titik internalnya memiliki warna berbeda, sedangkan kode pelangi suatu titik merepresentasikan jarak minimum dari titik tersebut ke masing-masing kelas warna yang digunakan dalam pewarnaan. Penelitian ini memfokuskan pada penentuan bilangan terhubung pelangi lokasi pada graf shackle lingkaran dengan mengembangkan algoritma yang mampu mengidentifikasi strategi pewarnaan efisien yang memenuhi kedua syarat pewarnaan pelangi lokasi tersebut. Hasil analisis menunjukkan bahwa struktur unik graf shackle lingkaran memungkinkan penggunaan jumlah warna yang lebih sedikit.

SNM- ()
D Novita
(Universitas Mataram)

SNM- ()
Rabiatul Adawiyah
(Universitas Mataram )

SNM- 34 (Participant)
Herna Ningsih
(Universitas Mataram )