Philosophy Mathematics Educ

ISBN-13: 9781850006664 / Angielski / Twarda / 1991 / 344 str.

Paul 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

Introduction, Rationale, The Philosophy of Mathematics Education Part 1 The Philosophy of Mathematics 1 A Critique of Absolutist Philosophies of Mathematics 2 The Philosophy of Mathematics Reconceptualized 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