Although many agree that all teaching rests on a theory of knowledge, there has been no in-depth exploration of the implications of the philosophy of mathematics for education. This is Paul Ernest's aim. Building on the work of Lakatos and Wittgenstein it challenges the prevalent notion that mathematical knowledge is certain, absolute and neutral, and offers instead an account of mathematics as a social construction. This has profound educational implications for social issues, including gender, race and multiculturalism; for pedagogy, including investigations and problem solving; and...

A volume in Cognition, Equity, & Society: International Perspectives Series Editors: Bharath Sriraman, University of Montana and Lyn English, Queensland University of Technology Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value neutral. It argues that history, society, and politics have shaped mathematics-not only through its applications and uses but also...

A volume in Cognition, Equity, & Society: International Perspectives Series Editors: Bharath Sriraman, University of Montana and Lyn English, Queensland University of Technology Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value neutral. It argues that history, society, and politics have shaped mathematics-not only through its applications and uses but also...

This book combines accessible explanations of mathematical concepts with practical advice on effective ways of teaching the subject. Section A provides a framework of good practice. Section B aims to support and enhance teachers subject knowledge in mathematical topics beyond what is taught to primary children. Each chapter also highlights teaching issues and gives examples of tasks relevant to the classroom. Section C is a collection of papers from tutors from four universities centred around the theme of effective teaching and quality of learning during this crucial time for mathematics...

First published in 1991. Routledge is an imprint of Taylor & Francis, an informa company.