Teacher Preparation for Teaching an Additional Subject: Mathematics

All ideology hails or interpellates concrete individuals as concrete subjects, by the functioning of the category of the subject. ... ideology ‘acts’ or ‘functions’ in such a way that it ‘recruits’ subjects among the individuals (it recruits them all), or ‘transforms’ the individuals into subjects (it transforms them all) by that very precise operation which I have called interpellation or hailing, and which can be imagined along the lines of the most commonplace everyday police (or other) hailing: ‘Hey, you there!’

The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience.

A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.