professional-noticing
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- PaperEdArXiv (OSF Preprints)20 Jul 2026
Teachers’ Professional Noticing as a Mediating Mechanism in the Development of Students’ Mathematical Reasoning: A Conceptual Analysis
Andrew Oluwashijibomi Adegoju, Sukurat Olabisi Kofoworola, Emmanuel Tomiwa siyanbola, Nurudeen Kolade Gbadegisin
This conceptual analysis synthesizes research on teachers' professional noticing—attending to, interpreting, and responding to students' thinking—and articulates how it mediates classroom interactions and students' mathematical reasoning. The paper proposes an integrative framework linking dimensions of noticing to forms of reasoning, reframing professional noticing as a relational instructional practice rather than a purely cognitive skill.
Original abstract
Teachers’ professional noticing - the capacity to attend to, interpret, and respond to students’ mathematical thinking has become a central construct in mathematics education research. While substantial scholarship has documented how teachers notice students’ ideas, considerably less theoretical work has examined how professional noticing functions as a mechanism that shapes students’ opportunities for mathematical reasoning. This paper advances a non-empirical, theory-forward analysis that synthesizes research on professional noticing, professional vision, and mathematical reasoning to articulate how teachers’ noticing practices mediate classroom interactions and reasoning processes. Drawing on established conceptualizations of professional noticing (Jacobs et al., 2010; Sherin & van Es, 2009) and theories of mathematical reasoning and discourse (Lobato et al., 2013; Sfard, 2008), the paper proposes an integrative framework linking dimensions of noticing to forms of student reasoning. By reframing professional noticing as a relational and interpretive instructional practice rather than a purely cognitive skill, this paper clarifies its significance for mathematical reasoning and outlines implications for research, teacher education, and professional development.