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All Journal Journal of Mathematics Education and Science Majalah Ilmiah Gema Maritim Saintara : Jurnal Ilmiah Ilmu-Ilmu Maritim Unnes Journal of Mathematics Education Indonesian Journal of Mathematics Education Riemann : Research of Mathematics and Mathematics Education Journal on Mathematics Education
Tarida, Luthfiana
Akademi Maritim Nusantara
Computer Science & IT Economics, Econometrics & Finance Education Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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The potential problem to explore students’ functional thinking in mathematical problem-solving Tarida, Luthfiana; Budiarto, Mega Teguh; Lukito, Agung
Journal on Mathematics Education Vol. 16 No. 1 (2025): 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.v16i1.pp275-298

Abstract

Many studies have reported that functional thinking plays a crucial role in mathematical problem-solving, particularly in fields requiring analytical reasoning, such as maritime studies. However, existing research has yet to comprehensively explore the specific task characteristics that effectively stimulate functional thinking in mathematical problem-solving, particularly among maritime students who must apply these skills in solving safety-of-life problems at sea. Addressing this gap, the present study investigates the potential of mathematical tasks in fostering functional thinking among second-semester students enrolled in the Deck Officer Program in Indonesia. The study involved three students with different mathematical abilities, who were given problem-solving tasks. Their responses were observed, recorded, and analyzed based on their written work. The findings reveal that non-routine problems involving functional situations—where students generalize relationships between varying quantities to determine function rules—effectively promote functional thinking. This is evidenced by the emergence of key functional thinking components, including problem identification, data representation, pattern recognition, covariational and correspondence relationships, and the evaluation of generalization rules. These results contribute to the development of research instruments in mathematics education and provide valuable insights for researchers and educators seeking to enhance functional thinking through task design.
Deskripsi Pemahaman Guru di SMK Bina Bhakti Cilacap dalam Penggunaan Metode Problem Solving pada Pembelajaran Lusiani; Andi Hendrawan; Fajar Firmansyah; Supriyanto Supriyanto; Luthfiana Tarida
Saintara: Jurnal Ilmiah Ilmu-Ilmu Maritim Vol 7 No 1 (2023): SAINTARA (Maret 2023)
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat, Akademi Maritim Nusantara Cilacap

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52475/saintara.v7i1.203

Abstract

Tujuan dalam kajian berikut yakni untuk mendeskripsikan pemahaman Guru di SMK Bina Bhakti Cilacap dalam Penggunan metode problem solving pada pembelajaran. Kajian ini menggunakan metode penelitian kualitatif melalui pendekatan deskriptif. Lokasi bertempat di di SMK Bina Bhakti Cilacap secara offline dengan subjek Guru di sekolah tersebut. Disimpulkan bahwa pemahaman Guru di SMK Bina Bhakti Cilacap dalam Penggunan metode problem solving pada pembelajaran sudah sampai pada tahap baik, karena 7 dari 10 Guru mendeksripsikan dengan baik tahap-tahap dalam menggunakan metode problem solving.
Algebraic Thinking in Problem-Solving: A Bibliometric Analysis Luthfiana Tarida; Dedeh Suryani
Riemann: Research of Mathematics and Mathematics Education Vol. 7 No. 3 (2025): EDISI DESEMBER
Publisher : Program Studi Pendidikan Matematika Universitas Katolik Santo Agustinus Hippo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.38114/riemann.v7i3.132

Abstract

Generalization and symbolic manipulation are fundamental components of algebraic thinking. Generalization is often regarded as the core of mathematics and a defining characteristic of problem solving. Consequently, the use of problem-solving contexts has strong potential to enhance and develop individuals’ algebraic thinking skills. Both algebraic thinking and problem solving play a crucial role in determining success in solving mathematical problems. To examine research trends in these areas, a bibliometric analysis was employed within a systematic mapping study by reviewing documents indexed in the Scopus database. The results indicate that between 2001 and 2021, only 35 Scopus-indexed articles explicitly addressed algebraic thinking and problem solving. This study aims to fill gaps in the state of the art by conducting a bibliometric review of these 35 articles. The findings reveal that algebraic thinking and problem solving remain prominent and relevant research topics in mathematics education. However, word cloud analysis shows that the term belief appears in relatively small proportions, while self-efficacy has not yet emerged within the thematic networks or research trends related to algebraic thinking and problem solving. Moreover, studies integrating algebraic thinking, problem solving, scaffolding, and self-efficacy are still limited. Research focusing on student participants and mathematical content within the maritime domain is also scarce. Therefore, a promising direction for future research is to explore algebraic thinking processes through problem-solving scaffolding based on levels of self-efficacy among maritime students.
Funnctional Thinking Processes of Maritime Vocational Students with and without GeoGebra Luthfiana Tarida; Dedeh Suryani
Indonesian Journal of Mathematics Education Vol. 9 No. 1 (2026): Indonesian Journal of Mathematics Education
Publisher : Universitas Tidar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31002/ijome.v9i1.3530

Abstract

Functional thinking has been recognized as an important mathematical competence for maritime students because it can support the understanding of relationships among variables involved in navigation and shipping safety. However, research examining how this competence develops through mathematical problem-solving, particularly with and without the support of dynamic technology in vocational higher education, remains limited. This study investigated differences in the functional thinking processes of maritime students when solving mathematical problems with and without GeoGebra. This study employed a qualitative comparative design involving two participants from the Nautical Study Program who were purposively selected based on their relatively homogeneous mathematical ability, as indicated by the smallest difference in their mathematics test scores. Both participants completed non-routine linear interpolation tasks followed by task-based interviews. Data were analyzed comparatively based on aspects of functional thinking. Both participants were able to identify and represent the relationship between cargo space height and cargo capacity. Differences were observed in the extent to which they generalized and evaluated this relationship. The findings provide preliminary evidence that different representational environments may be associated with distinct pathways of functional thinking. This study contributes to the limited body of research on functional thinking in maritime vocational education by providing an initial description of students’ reasoning processes and by highlighting the potential of GeoGebra as a dynamic representational tool for exploring functional relationships in authentic maritime contexts.
Co-Authors AGUNG LUKITO Andi Hendrawan Anisa Fitri Anjarsari, Elly Buaddin Hasan Dedeh Suryani Dedeh Suryani Fajar Firmansyah Indriyani Indriyani Indriyani Indriyani Lusiani Lusiani Mega Teguh Budiarto MUNDHOFAR Supriyanto Supriyanto Suryani, Dedeh V.Budi Sampurno Widayati, Farida Esti