" Despite quite some variation in its numerous manifestations, three core features of
deductive reasoning seem to stand out. They are aptly captured in the following definition of …

Engle and Conant's productive disciplinary engagement (PDE) framework has significantly
advanced the study of learning in mathematics and science. This artilce revisits PDE through …

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 …

According to the received view, genuine mathematical justification derives from proofs. In
this article, I challenge this view. First, I sketch a notion of proof that cannot be reduced to …

Equity and ethics in the learning of mathematics is a major topic for mathematics education
research. The study of ethics and injustice in relation to epistemic pursuits, such as …

The concept of infinity has a long and troubled history. Thus it is a promising concept with
which to explore rejection, disagreement, controversy and acceptance in mathematical …

Many philosophers of emotion, whether perceptual or cognitive theorists, have claimed that
emotions represent evaluative properties. This is often supported by an appeal to the …

This project explored what constitutes “ethical practice of mathematics”. Thematic analysis of
ethical practice standards from mathematics-adjacent disciplines (statistics and computing) …

In this paper, we situate the educational movement of “Ethics in Mathematics,” as outlined by
the Cambridge University Ethics in Mathematics Project, in the wider area of mathematics …

The monograph Lectures on Curves on an Algebraic Surface, published by Mumford (1966),
occupies a special place among works devoted to algebraic geometry. It is indeed a small …