This monograph examines Luis Radford’s Theory of Objectification (ToO) as a pivotal framework in contemporary Mathematics Education, proposing a socio-historical turn that challenges individualist epistemologies. The author critiques Piagetian constructivism and cognitivism for ignoring the cultural and historical nature of mathematical knowledge. Instead, ToO posits that learning is not the invention of knowledge, but the process by which culturally accumulated heritage becomes conscious to the individual through embodied and semiotic activity.
The core concept, "objectification," is defined as a dynamic process rather than a static state, unfolding through sensory, imaginative, and symbolic forms. The text emphasizes the materiality of knowledge, arguing that mathematical thinking is inherently embodied. Gestures, artifacts, and multimodal interactions are constitutive of thought, exemplified by the "semiotic node," where signs align synergistically to produce understanding. Furthermore, the monograph explores joint attention and intersubjectivity as ethical encounters. Drawing on Levinas and Buber, it frames teaching as an ethical responsibility where the teacher acts as a mediator who recognizes the student’s alterity.
The study concludes that ToO redefines learning as the mediated appropriation of cultural heritage. It offers methodological tools for analyzing gesture and multimodality while demanding a pedagogical transformation centered on ethical recognition, patience, and the valuing of errors. Ultimately, mathematics education is portrayed not as technical transmission, but as a human practice of encountering cultural heritage through love, patience, and hope, honoring human dignity in the learning process.
Publication Date: 2026-06-20