The dialogical nature of mathematics
P Ernest - Mathematics Education and Philosophy, 2003 - taylorfrancis.com
This chapter sketches an account of mathematics based on the underlying explanatory
metaphor of conversation and dialogue. 1 It suggests that mathematics is dialogical in a …
metaphor of conversation and dialogue. 1 It suggests that mathematics is dialogical in a …
The comparison of mathematics with narrative
RSD Thomas - … practices: Bringing together philosophy of mathematics …, 2007 - Springer
Mathematical writing, chiefly of proofs, is compared with the telling of stories. Contrasts are
also noted. The positive analogy is used to support the view of mathematics as being about …
also noted. The positive analogy is used to support the view of mathematics as being about …
The philosophy of mathematics and the didactics of mathematics
P Ernest - Didactics of mathematics as a scientific discipline, 1994 - Springer
1. DEVELOPMENTS IN THE PHILOSOPHY OF MATHEMATICS The 20th century has seen
the flowering of the philosophy of mathematics as a field of professional research. There …
the flowering of the philosophy of mathematics as a field of professional research. There …
On the epistemological limits of language: Mathematical knowledge and social practice during the renaissance
L Radford - Educational Studies in Mathematics, 2003 - Springer
An important characteristic ofcontemporary reflections in mathematicseducation is the
attention given tolanguage and discourse. No longer viewed asonly a more or less useful …
attention given tolanguage and discourse. No longer viewed asonly a more or less useful …
The Social Life of Mathematics 1
S Restivo - Mathematics Education and Philosophy, 2003 - taylorfrancis.com
Mathematicians and philosophers of mathematics have long claimed exclusive jurisdiction
over inquiries into the nature of mathematical knowledge. Their inquiries have been based …
over inquiries into the nature of mathematical knowledge. Their inquiries have been based …
Mathematical epistemologies at work
R Noss - For the learning of mathematics, 2002 - JSTOR
In mathematical terms, there is a celebrated tension between forms of discourse and
cognition that are delicately tuned to cultural practices and those that are focused explicitly …
cognition that are delicately tuned to cultural practices and those that are focused explicitly …
Mathematics and ethics
O Skovsmose - Critical Mathematics Education, 2023 - Springer
In the philosophy of mathematics, ontological and epistemological questions have been
discussed for centuries. These two sets of questions span a two-dimensional philosophy of …
discussed for centuries. These two sets of questions span a two-dimensional philosophy of …
[图书][B] Math worlds: Philosophical and social studies of mathematics and mathematics education
SP Restivo, JP Van Bendegem, R Fischer - 1993 - books.google.com
An international group of distinguished scholars brings a variety of resources to bear on the
major issues in the study and teaching of mathematics, and on the problem of understanding …
major issues in the study and teaching of mathematics, and on the problem of understanding …
Towards a hermeneutical understanding of mathematics and mathematical learning
T Brown - Constructing mathematical knowledge: Epistemology …, 1994 - books.google.com
Pursuit of the notion of mathematical meaning has dominated much of the discussion to do
with the philosophy of mathematics education. The flavour of current discussion generally …
with the philosophy of mathematics education. The flavour of current discussion generally …
The nature of mathematics: Towards a social constructivist account
P Ernest - Science & Education, 1992 - Springer
Two dichotomies in the philosophy of mathematics are discussed: the prescriptive—
descriptive distinction, and the process—product distinction. By focusing on prescriptive …
descriptive distinction, and the process—product distinction. By focusing on prescriptive …