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All Journal Jurnal Elemen Mathematics Education Journal
Putri, Dhea Anisah
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Education Mathematics Other

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A local instructional theory for learning the concept of arithmetic sequence through pocah piring game Putri, Dhea Anisah; Zulkardi; Ely Susanti; Meryansumayeka
Jurnal Elemen Vol 11 No 3 (2025): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i3.29672

Abstract

The nth-term formula is an arithmetic sequence subtopic that contributes significantly to explaining the fundamental concept of an arithmetic sequence. This study aimed to design a Local Instructional Theory (LIT) based on Realistic Mathematics Education (RME) to find the nth-term formula in an arithmetic sequence through the Pocah Piring game. This study was conducted on eighth-grade students in Palembang, Indonesia. This study used educational design research with a validation study, starting with a preliminary design, design experiments, and retrospective analysis. The learning trajectory in this study begins with rich circumstances that require mathematical reasoning rather than abstraction or exact definitions. Three structured learning activities integrating the Pocah Piring game were applied to help the students explore the concept of an arithmetic sequence. To effectively teach arithmetic sequences, instruction should progress from concrete representations, such as physical manipulatives and visual patterns that help students recognise sequential structures, to more abstract forms, including symbolic expressions and general formulas. The developed LIT accurately predicted students’ thinking throughout the learning process, supporting their progression toward the intended learning objectives. Teachers are encouraged to use the LIT derived from this study to guide instruction and design alternative learning pathways when teaching arithmetic sequences.
Assessment Frameworks Utilized by PIAAC for Evaluating Adult Problem-Solving Skills Zulkardi; Ratu Ilma Indra Putri; Fauzan, Ahmad; Sagita, Laela; Alfajri, Rizha; Silvhiany, Sary; Adelia, Viona; Anggeraini, Yentri; Putri, Dhea Anisah; Utami, Niken Wahyu; Dwipa, Nendra Mursetya Somasih; Utari, Rahma Siska; Sukma, Yovika; Azka, Dea Alvionita; Ismail, Rafki Nasuha; Sari, Novita; Asra, Aqilul; Fitriani, Nadya
Mathematics Education Journal Vol. 20 No. 2 (2026): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

This study explores the assessment framework used in the Programme for the International Assessment of Adult Competencies (PIAAC) to evaluate adult problem-solving skills, focusing on its conceptual. In response to the increasing global demand for foundational and adaptive skills, PIAAC serves as a key international tool for measuring literacy, numeracy, and problem-solving in technology-rich environments. A systematic literature review (SLR) was conducted using PRISMA 2020 guidelines, analyzing 27 Scopus-indexed studies published between 2015 and 2026. The methodological quality of these studies was evaluated using the Mixed Methods Appraisal Tool (MMAT). The findings indicate that the PIAAC framework conceptualizes adult competencies as multidimensional, functional, and context-dependent, extending beyond basic literacy and numeracy. These competencies are essential for effective problem-solving in real-life and digital contexts. The framework employs a comprehensive design that integrates cognitive skills, background variables, task features, and advanced analytical models to assess diverse populations. Moreover, the inclusion of technology-rich tasks and log file data highlights that competence emerges through dynamic interactions between individuals and their environments. Overall, PIAAC provides an integrative framework linking competencies, cognitive processes, and real-world outcomes.
Co-Authors Adelia, Viona Ahmad Fauzan Alfajri, Rizha Asra, Aqilul Azka, Dea Alvionita Dwipa, Nendra Mursetya Somasih Ely Susanti Fitriani, Nadya Ismail, Rafki Nasuha Laela Sagita Meryansumayeka Meryansumayeka Niken Wahyu Utami Novita Sari Rahma Siska Utari Ratu Ilma Indra Putri Sary Silvhiany Sukma, Yovika Yentri Anggeraini, Yentri Zulkardi