Making mathematical reasoning visible: a qualitative comparative case study of students’ reasoning, representation, and communication

A qualitative comparative case study examined how secondary school students' mathematical reasoning, use of representations, and communication are externalized during problem-solving, even when solutions are correct. The research aimed to make visible the differences in these competencies as students engage with non-routine algebraic problems.

Understanding how individuals externalize their reasoning and problem-solving approaches is critical for effective knowledge transfer and skill development within any domain. This insight can inform the design of learning environments, training programs, and assessment methods that better capture and cultivate foundational competencies.

Mathematical reasoning and communication are central goals in contemporary mathematics education.

Forward consideration, not a verified fact.