The Philosophy of Mathematics Education

ISBN-13: 9781850006671 / Angielski / Miękka / 1991 / 344 str.

Paul Ernest; P. Ernest

Opis

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 challenges hierarchical views of mathematics, learning and ability.

Spis treści

Part 1 The Philosophy of Mathematics, 1 A Critique of Absolutist Philosophies of Mathematics, 2 The Philosophy of Mathematics Reconceptualiied, 3 Social Constructivism as a Philosophy of Mathematics, 4 Social Constructivism and Subjective Knowledge, 5 The Parallels of Social Constructivism, Part 2 The Philosophy of Mathematics Education, 6 Aims and Ideologies of Mathematics Education, 7 Groups with Utilitarian Ideologies, 8 Groups with Purist Ideologies, 9 The Social Change Ideology of the Public Educators, 10 Critical Review of Cockcroft and the National Curriculum, 11 Hierarchy in Mathematics. Learning. Ability and Society, 12 Mathematics. Values and Equal Opportunities, 13 Investigation, Problem Solving and Pedagogy

O autorze

Paul Ernest