Mathematics Instruction in Competency-Based Curricula and International Standards
Chapter from the book:
Aydın,
H.
(ed.)
2026.
Holistic and Interdisciplinary Approaches in Mathematics Education.
Synopsis
This chapter examines the transition from traditional, positivist, and mechanical approaches to contemporary skill- and competency-based paradigms in mathematics education within the context of international standards. For many years in the literature, mathematics instruction was confined to memorizing formulas and mechanically repeating algorithmic procedures. However, it has undergone a radical philosophical shift driven by macro transformations such as Industry 4.0 and Society 5.0. In this new paradigm, mathematics is no longer viewed as a static body of knowledge; instead, it is defined as a flexible mental pattern and a dynamic language of agency that enables individuals to generate rational solutions to complex, real-world problems. Accordingly, this study analyzes key indicators, models, and theoretical frameworks established by international authorities—including the OECD Learning Compass 2030, the PISA Mathematical Literacy Framework, the TIMSS Cognitive Domains Taxonomy, the NCTM Process Standards, and the European Qualifications Framework (EQF)—within a structural matrix. Regarding the Turkish educational context, the "Turkey Century Education Model Mathematics Curriculum," phased into implementation as of 2024, is evaluated through a comparative analysis from a broad perspective focusing on its structural alignment with international standards, mathematical domain skills, and affective dispositions. Finally, this chapter discusses the necessity of transforming teacher competencies and comprehensively synchronizing assessment mechanisms with process-oriented, authentic, and formative tools to bridge the policy-practice gap, thereby contributing to the existing literature.
