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Zulkardi
Mathematics Education, Universitas Sriwijaya, Palembang, Indonesia
Education Mathematics Other

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Assessment Frameworks Utilized by PIAAC for Evaluating Adult Problem-Solving Skills Zulkardi; Ratu Ilma Indra Putri; Ahmad Fauzan; Laela Sagita; Rizha Alfajri; Sary Silvhiany; Viona Adelia; Yentri Anggeraini; Dhea Anisah Putri; Niken Wahyu Utami; Nendra Mursetya Somasih Dwipa; Rahma Siska Utari; Yovika Sukma; Dea Alvionita Azka; Rafki Nasuha Ismail; Novita Sari; Aqilul Asra; Nadya Fitriani
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.
Pre-University Mathematics Teachers’ Design of Instructional Materials: A Case Study of the Vectors Instructional Materials from a Pre-University Institution in Singapore Zhen Han Hans Tan; Tin Lam Toh; Zulkardi; Putri Ratu Ilma Indra
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

A unique feature of pre-university mathematics education in Singapore, compared to primary and secondary level mathematics, is that there are no available textbooks. Consequently, each pre-university institution designs their own instructional materials (lecture notes and practice worksheets), based on their teachers’ interpretation of the syllabus and curriculum. In this paper, we present a case study of the instructional materials of one topic Vectors from a pre-university institution. We examine how mathematical problem solving was presented in the instructional materials. We identified three features of the instructional materials that develop mathematical problem solving competencies in students: (1) the use of concrete pictorial representations to facilitate students’ understanding of abstract concepts and expose them to a mode of representation (i.e., concrete pictorial representation) to fall back on whenever necessary; (2) the steps in Polya’s Problem Solving Model were implicitly introduced to students in the form of question prompts in the worked examples; and (3) worked examples and self-review questions were heavily used in the lecture notes. Some implications to teachers’ design of instructional material are presented in the paper.
Co-Authors Ahmad Fauzan Aqilul Asra Dea Alvionita Azka Dhea Anisah Putri Laela Sagita Nadya Fitriani Nendra Mursetya Somasih Dwipa Niken Wahyu Utami Novita Sari Putri Ratu Ilma Indra Rafki Nasuha Ismail Rahma Siska Utari Ratu Ilma Indra Putri Rizha Alfajri Sary Silvhiany Tin Lam Toh Viona Adelia Yentri Anggeraini Yovika Sukma Zhen Han Hans Tan