Assessment for Critical Thinking in Mathematics Education Exploring Classroom Practices and Student Learning

Abstract

Critical thinking is an essential component of mathematics education because students need to interpret information, analyze problems, evaluate strategies, justify solutions, and reflect on their mathematical reasoning. However, classroom assessment often remains focused on correct answers and procedural performance, providing limited opportunities to reveal students’ higher-order thinking processes. This study explores how assessment practices for critical thinking are implemented in mathematics classrooms and how these practices contribute to students’ mathematical learning. A qualitative case study approach was employed, with data collected through classroom observations, semi-structured interviews, and analysis of instructional and assessment documents. The data were analyzed thematically to identify patterns in assessment practices and their relationship with students’ critical thinking and learning. The findings indicate that open-ended and non-routine tasks, probing questions, explanation and justification, error analysis, comparison of solution strategies, classroom discussion, formative feedback, and metacognitive reflection provide meaningful opportunities for students to engage in critical thinking. These practices help students analyze mathematical information, evaluate alternative strategies, justify claims, identify and correct errors, and reflect on their problem-solving processes. The study concludes that assessment for critical thinking is most effective when integrated continuously into classroom instruction rather than treated solely as a measurement of learning outcomes. The findings highlight the importance of teacher assessment literacy and the design of assessment practices that make students’ mathematical reasoning visible and support meaningful learning.