Kant was a student and a teacher of mathematics throughout his career, and his reflections on mathematics and mathematical practice had a profound impact on his philosophical thought.
9/15 to 9/19/08, Philosophy of Mathematics and Mathematical Practice from Descartes to Bolzano, Summer School, Department of Mathematics, University of Copenhagen.
This volume includes selected lectures presented at the conference, and additional contributions offering diverse perspectives from art and architecture, the philosophy and history of mathematics, and current mathematical practice.
The third area includes both the philosophy of mathematics and methodological studies of mathematical practice, past and present.
Conducting error analysis aligns with the Standards of Mathematical Practice [18, 19] and the Mathematics Teaching Practices [18].
This might begin with policy changes, such as the inclusion of Standards for Mathematical Practice in the Common Core State Standards for mathematics.
Also welcomed in the US is the introduction of the Standards of Mathematical Practice; skills needed to succeed in mathematics - my favourite being: "[Constructing] viable arguments and [critiquing] the reasoning of others".
For example, we might choose principles which suffice to represent a certain mathematical practice, like, for example, Bishop style mathematics.
It is a plausible prima facie constraint on any philosophical interpretation of mathematical practice that it should avoid ascribing to mathematics any features which would render actual mathematical practice misguided or inadequate.
These include the use of the notion of style in comparative cultural histories of mathematics, in characterizing national styles, and in describing mathematical practice.
The philosophy of mathematical practice.
