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How does student learn mathematics through traditional food? (a hypothetical learning trajectory) Tarida, Luthfiana; Anjarsari, Elly; Hasan, Buaddin; Widayati, Farida Esti
Unnes Journal of Mathematics Education Vol 12 No 3 (2023): Unnes Journal of Mathematics Education
Publisher : Department of Mathematics, Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujme.v12i3.71337

Abstract

This study aimed to design a hypothetical learning trajectory for a two-dimensional figure area (quadrilateral and triangle) using the geometric shape of traditional food, tempe mendoan as a learning context. This research was qualitative research with data collection methods using literature studies, interviews, and documentation. The subjects in this study were seventh-grade junior high school students in SMP IT Nurul Fikri Bogor. The results of this study are in the form of a hypothetical learning trajectory design in learning the two-dimensional figure area through exploration of Banyumas food tempe mendoan, students measure each side of the rectangle from the shape of tempe mendoan, students divide the rectangle into square units as many as the results of each measurement side, students counts the number of unit squares that cover the rectangular area, the student finds the formula for the area of ​​a square and a rectangle. Next, students divide one rectangle into two right triangles of equal size, students find the formula for the area of ​​a triangle. Students attach the triangles to the provided two-dimensional figure shapes, students record the number of right triangles needed to cover each shape and find these relationships so that students can find area formulas for other shapes such as parallelograms, trapezoids, and rhombuses.
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.