Surveying theories and philosophies of mathematics education

Any theory of thinking or teaching or learning rests on an underlying philosophy of knowledge. Mathematics education is situated at the nexus of two fields of inquiry, namely mathematics and education. However, numerous other disciplines interact with these two fields which compound the complexity of developing theories that define mathematics education. We first address the issue of clarifying a philosophy of mathematics education before attempting to answer whether theories of mathematics education are constructible? In doing so we draw on the foundational writings of Lincoln and Guba (1994), in which they clearly posit that any discipline within education, in our case mathematics education, needs to clarify for itself the following questions: (1) What is reality? Or what is the nature of the world around us? (2) How do we go about knowing the world around us? [the methodological question, which presents possibilities to various disciplines to develop methodological paradigms] and, (3) How can we be certain in the “truth” of what we know? [the epistemological question]

Politicizing mathematics education : has politics gone too far? Or not far enough?

In this chapter we tackle increasingly sensitive questions in mathematics education, those that have polarized the community into distinct schools of thought as well as impacted reform efforts.

Interdisciplinary modelling

This article examines one approach to promoting creative and flexible use of mathematical ideas within an interdisciplinary context in the primary curriculum, namely, through modelling. Three classes of fifth-grade children worked on a modelling problem, The First Fleet (Australia’s settlement), situated within the curriculum domains of science and studies of society and environment. Reported here are the cycles of development displayed by one group of children as they worked the problem, together with the range of models created across the classes. Children developed mathematisation processes that extended beyond their regular curriculum, including identifying and prioritising key problem elements, exploring relationships among elements, quantifying qualitative data, ranking and aggregating data, and creating and working with weighted scores. Aspects of Goldin’s (2000, 2007) affective structures also appeared to play an important role in the children's mathematical developments.

Curriculum in postcolonial contexts

This entry uses postcolonial perspectives to interrogate relations of power in the curriculum that are deeply influenced by the aftermath of European colonialism. The insights gained help to analyze continuing inequity in material, cultural, ideological and social aspects of the curriculum. This is a starting point for working out strategies of change and identifying the complexities and contestations which accompany change. The entry provides an introduction to key aspects of postcolonial theory, examines various aspects of the curriculum which are problematized by postcolonial perspectives, and explores ways in which curriculum decolonization is advocated in terms of social equity, race, cultural and gender identity, language and knowledge paradigms.

Will the Australian national curriculum up the intellectual ante in classrooms?

A critical review of the current and potential impacts of the Australian National Curriculum on the enacted curriculum in primary schools, with specific attention to issues of equity and social justice.

Copyright, digital media literacies and preservice teacher education

This article considers copyright knowledge and skills as a new literacy that can be developed through the application of digital media literacy pedagogies. Digital media literacy is emerging from more established forms of media literacy that have existed in schools for several decades and have continued to change as the social and cultural practices around media technologies have changed. Changing requirements of copyright law present specific new challenges for media literacy education because the digitisation of media materials provides individuals with opportunities to appropriate and circulate culture in ways that were previously impossible. This article discusses a project in which a group of preservice media literacy educators were introduced to knowledge and skills required for the productive and informed use of different copyrights frameworks. The students’ written reflections and video production responses to a series of workshops about copyright are discussed, as are the opportunities and challenges provided by copyright education in preservice teacher education.

Literacy and religion : the textual politics and practice of Seventh-day Adventism

This book explores the interrelation of literacy and religion as practiced by Western Christians in, first, historical contexts and, second, in one contemporary church setting. Using both a case study and a Foucauldian theoretical framework, the book provides a sustained analysis of the reciprocal discursive construction of literacy, religiosity and identity in one Seventh-day Adventist Church community of Northern Australia. Critical linguistic and discourse analytic theory is used to disclose processes of theological (church), familial (home) and educational (school) normalisation of community members into regulated ways of hearing and speaking, reading and writing, being and believing. Detailed analyses of spoken and written texts taken from institutional and local community settings show how textual religion is an exemplary technology of the self, a politics constituted by canonical texts, interpretive norms, textual practices, ritualised events and sociopolitical protocols that, ultimately, are turned in upon the self. The purpose of these analyses is to show how, across denominational difference in belief (tradition) and practice, particular versions of self and society are constructed through economies of truth from text, enabling and constraining what can and cannot be spoken and enacted by believers.

Libr@ries : changing information space and practice

This volume examines the social, cultural, and political implications of the shift from traditional forms of print-based libraries to the delivery of online information in educational contexts. Despite the central role of libraries in literacy and learning, research of them has, in the main, remained isolated within the disciplinary boundaries of information and library science. By contrast, this book problematizes and thereby mainstreams the field. It brings together scholars from a wide range of academic fields to explore the dislodging of library discourse from its longstanding apolitical, modernist paradigm. Collectively, the authors interrogate the presuppositions of current library practice and examine how library as place and library as space blend together in ways that may be both complementary and contradictory. Seeking a suitable term to designate this rapidly evolving and much contested development, the editors devised the word “libr@ary,” and use the term arobase to signify the conditions of formation of new libraries within contexts of space, knowledge, and capital.

Comprehension and content : planning literacy curriculum in low socioeconomic and culturally diverse schools

This article reframes comprehension as a social and intellectual practice. It reviews literature on current approaches to reading instruction for linguistically and culturally diverse and low socioeconomic students, noting the current policy emphasis on the teaching of comprehension as autonomous skills and ‘strategies’. The Four Resources model (Freebody & Luke, 1990) is used to situate comprehension instruction with an emphasis on student cultural and community knowledge, and substantive intellectual and sociocultural content in elementary and middle school curricula. Illustrations are drawn from research underway on the teaching of literacy in low socioeconomic schools.

Traveller’s Tales : The Expatriate English Language Teacher in the New Global Culture

Most of the research into ELT has focused on its linguistic and methodological aspects, which are based on Western scientific traditions. The contributions and experiences of English language teachers themselves, especially their work in overseas contexts, have frequently been overlooked. This volume aims to document the complexity of ELT as ‘work’ in new global economic and cultural conditions, and to explore how this complexity is realised in the everyday experiences of ELT teachers. The development of ELT from the colonial experience to its current status as a global commodity is explored; ELT is then situated in the discourses of globalisation, specifically within Appadurai’s theorisation of global flows of people, images, ideas, technology and money, or scapes. Within this framework, narratives are constructed from the experiences of Native-speaking English teachers. These reveal much about the personal, pedagogical and cultural dimensions of ELT work in non-Centre countries, and will contribute to a greater understanding of the intercultural dimensions of ELT for all those who work in it, and in related educational fields.

Traveller’s Tales : ELT teachers in a globalising world

This chapter summarizes a quasi-ethnographic case study of the lives and work of nine native-speaking English language teachers who have lived and worked outside their countries of origin for extended periods. The study aimed to document the complexity of ELT as ‘work’ in new global economic and cultural conditions, and to explore how this complexity is realised in the everyday experiences of ELT teachers.