The way in which arithmetic has hitherto been generally taught has made it a powerful instrument for impressing the pupils with the false ideals of the capitalist règime which at present presses so heavily on society. The Modern School, therefore, invites essays on the subject of the reform of the teaching of arithmetic, and requests those friends of rational and scientific instruction who are especially occupied with mathematics to draw up a series of easy and practical problems, in which there shall be no reference to wages, economy, and profit. These exercises must deal with agricultural and industrial production, the just distribution of the raw material and the manufactured articles, the means of communication, the transport of merchandise, the comparison of human labour with mechanical, the benefits of machinery, public works, etc. In a word, the Modern School wants a number of problems showing what arithmetic really ought to be—the science of the social economy (taking the word “economy” in its etymological sense of “good distribution”). The exercises will deal with the four fundamental operations (integrals, decimals, and fractions), the metrical system, proportion, compounds and alloys, the squares and cubes of numbers, and the extraction of square and cube roots. As those who respond to this appeal are, it is hoped, inspired rather with the ideal of a right education of children than with the desire of profit, and as we wish to avoid the common practice in such circumstances, we shall not appoint judges or offer any prizes. The Modern School will publish the Arithmetic which best serves its purpose, and will come to an amicable agreement with the author as to his fee. A later note in the Bulletin was addressed to teachers:—