Search

A fundamental question in early childhood mathematics concerns the relationship between young children's own informal signs and the formal abstract symbolic language of mathematics. This study presents research investigating the genesis of mathematical semiosis from a Vygotskian cultural-historical (social-semiotic) perspective. In this study we look at the premature stages of dealing with quantity and their relationships. Our aim is to reveal the interweaving of young children's sign-use and to consider the role of intertextuality in mathematisation. Longitudinal, ethnographic data were gathered from case studies of seven children aged 3–4 years in an inner-city nursery school in England, documenting observations of their spontaneous pretend play. The data are interrogated through interpretive analysis and show that some graphical signs moved between individuals' texts, also borrowed from others including the teacher, and woven together. Children's progressive understandings of mathematical sign-use appear to be attained in part through intertextual exchanges in social and culturally meaningful contexts, such as pretend play. [ABSTRACT FROM AUTHOR]

Numbers and measurements enable transactions and communication in translation in ways that are helpful and indisputably necessary. However, as deployment of quantification and mathematisation has become more complex and opaque, it is important to interrogate the validity of measures and predictions, especially if they are to be used as a basis for action. This article takes a critical look at the various types of quantification and mathematisation used in translation and considers the effects of these on translators working in highly technologized workflows. It introduces the concept of algorithmic norms, whereby translators feel pressured to reverse engineer and conform to the demands of algorithmic management. [ABSTRACT FROM AUTHOR]

Mathematics and determinism may seem two very different topics, especially when mathematics is associated with the social sciences and economics. Nonetheless, this has not always been the case. In 1873 a curious debate took place in Paris between a young Léon Walras and Pierre Emile Levasseur concerning the compatibility of mathematics, economics, and free will. It was the consequence of a Laplacian view of mathematics that Walras inherited from physics, a view that associated mathematics with a peculiar philosophical conception. We reconstruct the historical context of the debate, the particular view of mathematics that lead to it, and then analyse the attitudes of Cournot, Walras, and Levasseur on the issue. We show that the mathematisation of economics was deeply influenced by how physicists understood mathematics. [ABSTRACT FROM PUBLISHER]