RT Journal Article
T1 The emergence of objects from mathematical practices
A1 Font, Vicenç
A1 Díaz Godino, Juan
A1 Gallardo-Romero, Jesús
K1 Matemáticas - Estudio y enseñanza
K1 Ontología
AB The nature of mathematical objects, their various types, the way in which they are formed, and how they participate in mathematical activity are all questions of interest for philosophy and mathematics education. Teaching in schools is usually based, implicitly or explicitly, on a descriptive/realist view of mathematics, an approach which is not free from potential conflicts. After analysing why this view is so often taken and pointing out the problems raised by realism in mathematics this paper discusses a number of philosophical alternatives in relation to the nature of mathematical objects. Having briefly described the educational and philosophical problem regarding the origin and nature of these objects we then present the main characteristics of a pragmatic and anthropological semiotic approach to them, one which may serve as the outline of a philosophy of mathematics developed from the point of view of mathematics education. This approach is able to explain from a non-realist position how mathematical objects emerge frommathematical practices.
PB Springer
YR 2013
FD 2013
LK https://hdl.handle.net/10630/34473
UL https://hdl.handle.net/10630/34473
LA eng
NO Font, V., Godino, J.D. & Gallardo, J. The emergence of objects from mathematical practices. Educ Stud Math 82, 97–124 (2013). https://doi.org/10.1007/s10649-012-9411-0
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026