TY - JOUR

T1 - Philosophy of mathematical practice: a primer for mathematics educators

AU - Hamami, Yacin

PY - 2020/11/1

Y1 - 2020/11/1

N2 - In recent years, philosophical work directly concerned with the practice of mathematics has intensified, giving rise to a movement known as the philosophy of mathematical practice. In this paper we offer a survey of this movement aimed at mathematics educators. We first describe the core questions philosophers of mathematical practice investigate as well as the philosophical methods they use to tackle them. We then provide a selective overview of work in the philosophy of mathematical practice covering topics including the distinction between formal and informal proofs, visualization and artefacts, mathematical explanation and understanding, value judgments, and mathematical design. We conclude with some remarks on the potential connections between the philosophy of mathematical practice and mathematics education.

AB - In recent years, philosophical work directly concerned with the practice of mathematics has intensified, giving rise to a movement known as the philosophy of mathematical practice. In this paper we offer a survey of this movement aimed at mathematics educators. We first describe the core questions philosophers of mathematical practice investigate as well as the philosophical methods they use to tackle them. We then provide a selective overview of work in the philosophy of mathematical practice covering topics including the distinction between formal and informal proofs, visualization and artefacts, mathematical explanation and understanding, value judgments, and mathematical design. We conclude with some remarks on the potential connections between the philosophy of mathematical practice and mathematics education.

UR - http://www.scopus.com/inward/record.url?scp=85084468415&partnerID=8YFLogxK

U2 - 10.1007/s11858-020-01159-5

DO - 10.1007/s11858-020-01159-5

M3 - Article

VL - 52

SP - 1113

EP - 1126

JO - ZDM: the International Journal on Mathematics Education

JF - ZDM: the International Journal on Mathematics Education

SN - 1863-9690

IS - 6

ER -