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All Journal Jurnal Elemen Tarbawi : Jurnal Ilmu Pendidikan Edumatika
Aan Putra
Universitas Sriwijaya
Computer Science & IT Education Mathematics Other

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Scoping Literature Review: What Activities Can Help Students Discover Permutations? Aan Putra; Zulkardi Zulkardi; Ratu Ilma Indra Putri; Laswadi Laswadi; Duano Sapta Nusantara
Edumatika Vol 6 No 2 (2023): November 2023, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32939/ejrpm.v6i2.3167

Abstract

Mathematical knowledge will be meaningful for students if it is discovered through mathematical rediscovery activities. This research aims to provide an overview of the activities carried out by researchers in teaching material on multiplication rule and permutation as an insight for other researchers to try various activities that are relevant for teaching combinatorics material in general. This research is a scoping literature review using the 8-stage framework of Xiao & Watson. The review was carried out on 6 relevant articles published in various reputable international journals without a specific time limit. Based on the results of the review, it was found that learning permutations using activities included using the context of towers, beaded bracelets, presentation sequences, teddy bears, and photography. The activities used generally consist of arranging physical objects. The author suggests using reorderable objects to teach permutations. The context used must be adapted to the knowledge and experience of the students.
Teaching the Rule of Product using Nature Tourism Routes Aan Putra; Zulkardi Zulkardi; Ratu Ilma Indra Putri; Laswadi Laswadi; Elly Susanti; Duano Sapta Nusantara
Tarbawi : Jurnal Ilmu Pendidikan Vol. 19 No. 2 (2023): Tarbawi : Jurnal Ilmu Pendidikan
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan Institut Agama Islam Negeri Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32939/tarbawi.v19i2.3168

Abstract

A tourism route is a sequence of tourist attractions visited. Students are familiar with tour activities and often plan tourism routes to visit several tourist attractions. Students' experience and knowledge about tourism routes can be used as a context for teaching the rule of product. Therefore, this research aims to design a learning trajectory for the rule of product using the Indonesian Realistic Mathematics Education (PMRI) approach in the Kerinci nature tourism route context. The research method used is design research with a validation study type, which consists of three stages: preparation and design, teaching experiment, and retrospective analysis. The subjects involved in this research were 11 third-semester mathematics education students at a university in Jambi, Indonesia. The instruments include learning video recordings, student work results, field notes, and test sheets. The research results show that learning trajectories designed in the context of tourism routes can help students discover, understand, and use the rule of product in solving relevant mathematical problems. The learning tracjectory consists of four activities: making a list of Kerinci tourist attractions, determining the location of several tourist attractions on a sketch map, arranging tourist attractions in tourism routes, and solving problems regarding possible tourism routes. This research shows that the designed learning trajectory is vital in helping students discover and understand the rule of product and apply them to solving relevant problems.
Secondary students’ informal strategies in solving enumeration problems prior to formal combinatorics instruction Aan Putra; Zulkardi; Ratu Ilma Indra Putri; Laswadi
Jurnal Elemen Vol 11 No 4 (2025): October
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i4.31088

Abstract

Although enumeration problems are fundamental in combinatorics, little is known about how students intuitively approach such enumeration problems before receiving formal instruction. This exploratory qualitative study investigated the initial strategies employed by twelve-grade students in solving enumeration problems prior to formal instruction on enumeration rules. Fifteen students from a public senior high school in Kerinci, Indonesia, who had not yet learned combinatorics in the curriculum, participated in this study. Data were collected through students’ written responses to three combinatorial problems presented in different real-life contexts and further explored through semi-structured interviews. Only responses demonstrating coherent and interpretable strategy were analyzed. The findings reveal three dominant strategies: listing all possible arrangements, generalizing patterns, and applying the multiplication principle. These findings indicate that students possess intuitive approaches that can serve as a foundation for formal combinatorial reasoning. The study aligns with the Realistic Mathematics Education (RME) perspective, emphasizing the importance of guided reinvention and contextual mathematization, and proposes implications for designing learning trajectories that build on students’ informal reasoning in secondary mathematics education.
Co-Authors Duano Sapta Nusantara Elly Susanti Laswadi Laswadi Laswadi Ratu Ilma Indra Putri Zulkardi Zulkardi Zulkardi