Theories of Mathematics Education : Seeking New Frontiers

This inaugural book in the new series Advances in Mathematics Education is the most up to date, comprehensive and avant garde treatment of Theories of Mathematics Education which use two highly acclaimed ZDM special issues on theories of mathematics education (issue 6/2005 and issue 1/2006), as a point of departure. Historically grounded in the Theories of Mathematics Education (TME group) revived by the book editors at the 29th Annual PME meeting in Melbourne and using the unique style of preface-chapter-commentary, this volume consist of contributions from leading thinkers in mathematics education who have worked on theory building. This book is as much summative and synthetic as well as forward-looking by highlighting theories from psychology, philosophy and social sciences that continue to influence theory building. In addition a significant portion of the book includes newer developments in areas within mathematics education such as complexity theory, neurosciences, modeling, critical theory, feminist theory, social justice theory and networking theories. The 19 parts, 17 prefaces and 23 commentaries synergize the efforts of over 50 contributing authors scattered across the globe that are active in the ongoing work on theory development in mathematics education.

The theories of reasoned action and planned behaviour applied to business decision : a selective annotated bibliography

Purpose: This paper provides a selective annotated bibliography that summarises journal articles which have employed either the theory of reasoned action or the theory of planned behaviour to circumstances which are relevant to business activities. Design/methodology/approach: Searches were conducted on the EBSCO Host and ProQuest databases to identify papers that had used either the theory of reasoned action or theory of planned behaviour in their methodology. The bibliography was separated into three categories- financial decision making, strategic decision making, and professional decision making. Implications: The information presented in this paper is intended to assist and facilitate further research by broadening the awareness of the literature and providing examples of the application of the theory as it has been employed in prior research.

Formal complaints of workplace sexual harassment lodged with Australian Human Rights and Equal Opportunity Commissions - 1 July 2009 - 31 December 2009

This report presents an analysis of quantitative data collected from the Australian Human Rights Commission, the Anti-Discrimination Commission of Queensland, the Victorian Equal Opportunity and Human Rights Commission, the Anti-Discrimination Board of New South Wales, the Equal Opportunity Commission of South Australia, the Australian Capital Territory Human Rights Commission, the Equal Opportunity Commission Western Australia, the Northern Territory Anti-Discrimination Commission, and the Office of the Anti-Discrimination Commissioner (Tasmania) (hereafter referred to as the Commissions). The data comprise formal complaints lodged under the various federal, state and territory anti-discrimination laws in the period 1 July 2009 to 31 December 2009 where a complainant had alleged sexual harassment in the area of employment.

The effects of truth in the hinterlands and abused [in Portugese] Os efeitos de verdade em os sertões e abusado

O presente livro propõe-se a refletir sobre a construção dos efeitos de verdade em dois modos de produção de ordem discursiva: Os sertões, romance de Euclides da Cunha, e Abusado: o dono do morro Dona Marta, romance-reportagem do jornalista Caco Barcellos. A autora apresenta a fragilidade do discurso jornalístico em legitimar-se como o discurso do verdadeiro, em dura oposição ao discurso da literatura, lugar da ficção, expressão dos sentimentos, imaginário, da não-verdade. [Portugese]

Theories of learning mathematics

According to Karl Popper, widely regarded as one of the greatest philosophers of science in the 20th century, falsifiability is the primary characteristic that distinguishes scientific theories from ideologies – or dogma. For example, for people who argue that schools should treat creationism as a scientific theory, comparable to modern theories of evolution, advocates of creationism would need to become engaged in the generation of falsifiable hypothesis, and would need to abandon the practice of discouraging questioning and inquiry. Ironically, scientific theories themselves are accepted or rejected based on a principle that might be called survival of the fittest. So, for healthy theories on development to occur, four Darwinian functions should function: (a) variation – avoid orthodoxy and encourage divergent thinking, (b) selection – submit all assumptions and innovations to rigorous testing, (c) diffusion – encourage the shareability of new and/or viable ways of thinking, and (d) accumulation – encourage the reuseability of viable aspects of productive innovations.

Six theories of Neoliberalism

This paper takes as its starting point the observation that neoliberalism is a concept that is ‘oft-invoked but ill-defined’ (Mudge 2008: 703). It provides a taxonomy of uses of the term neoliberalism to include: (1) an all-purpose denunciatory category; (2) ‘the way things are’; (3) a particular institutional framework characterizing Anglo-American forms of national capitalism; (4) a dominant ideology of global capitalism; (5) a form of governmentality and hegemony; and (6) a variant within the broad framework of liberalism as both theory and policy discourse. It is argued that this sprawling set of definitions are not mutually compatible, and that uses of the term need to be dramatically narrowed from its current association with anything and everything that a particular author may find objectionable. In particular, it is argued that the uses of the term by Michel Foucault in his 1978-79 lectures, found in The Birth of Biopolitics (Foucault, 2008) are not particularly compatible with its more recent status as a variant of dominant ideology or hegemony theories.

Lay theories of anorexia nervosa : a discourse analytic study

Previous studies on lay theories of anorexia nervosa have examined the 'accuracy' of lay knowledge, and the identification of factors by family and friends that would encourage early interventions. In contrast to these approaches, we examine lay theories of anorexia nervosa using a critical psychology perspective. We argue that the use of a discourse analysis methodology enables the examination of the construction of lay theories through dominant concepts and ideas. Ten semi-structured interviews with five women and five men aged between 15 and 25 years were carried out. Participants were asked questions about three main aspects of anorexia nervosa: aetiology, treatment and relationship to gender. Each interview was analysed in terms of the structure, function and variability of discourse. Three discourses: sociocultural, individual and femininity, are discussed in relation to the interview questions. We conclude that, in this study, lay theories of anorexia nervosa were structured through key discourses that maintained a separation between sociocultural aspects of anorexia nervosa and individual psychology. This separation exists in dominant psychomedical conceptualizations of anorexia nervosa, reinforcing the concept that it is a form of psychopathology.

“Lay” theories of anorexia nervosa : a discourse analytic study

Previous studies on lay theories of anorexia nervosa have examined the ‘accuracy’ of lay knowledge, and the identification of factors by family and friends that would encourage early interventions (Huon, Brown, & Morris, 1988, 7, 239–252; Murray, Touyz, & Beumont, 1990, 9, 87–93). In contrast to these approaches, we examine lay theories of anorexia nervosa using a critical psychology perspective. We argue that the use of a discourse analysis methodology enables the examination of the construction of lay theories through dominant concepts and ideas. Ten semi-structured interviews with five women and five men aged between 15 and 25 years were carried out. Participants were asked questions about three main aspects of anorexia nervosa: aetiology, treatment and relationship to gender. Each interview was analysed in terms of the structure, function and variability of discourse. Three discourses: sociocultural, individual and femininity, are discussed in relation to the interview questions. We conclude that, in this study, lay theories of anorexia nervosa were structured through key discourses that maintained a separation between sociocultural aspects of anorexia nervosa and individual psychology. This separation exists in dominant psychomedical conceptualizations of anorexia nervosa, reinforcing the concept that it is a form of psychopathology.

Formal analysis of security properties in trusted computing protocols

This research introduces a general methodology in order to create a Coloured Petri Net (CPN) model of a security protocol. Then standard or user-defined security properties of the created CPN model are identified. After adding an attacker model to the protocol model, the security property is verified using state space method. This approach is applied to analyse a number of trusted computing protocols. The results show the applicability of proposed method to analyse both standard and user-defined properties.

Formal analysis of card-based payment systems in mobile devices

To provide card holder authentication while they are conducting an electronic transaction using mobile devices, VISA and MasterCard independently proposed two electronic payment protocols: Visa 3D Secure and MasterCard Secure Code. The protocols use pre-registered passwords to provide card holder authentication and Secure Socket Layer/ Transport Layer Security (SSL/TLS) for data confidentiality over wired networks and Wireless Transport Layer Security (WTLS) between a wireless device and a Wireless Application Protocol (WAP) gateway. The paper presents our analysis of security properties in the proposed protocols using formal method tools: Casper and FDR2. We also highlight issues concerning payment security in the proposed protocols.

Six theories of neoliberalism

This article takes as its starting point the observation that neoliberalism is a concept that is ‘oft-invoked but ill-defined’. It provides a taxonomy of uses of the term neoliberalism to include: (1) an all-purpose denunciatory category; (2) ‘the way things are’; (3) an institutional framework characterizing particular forms of national capitalism, most notably the Anglo-American ones; (4) a dominant ideology of global capitalism; (5) a form of governmentality and hegemony; and (6) a variant within the broad framework of liberalism as both theory and policy discourse. It is argued that this sprawling set of definitions are not mutually compatible, and that uses of the term need to be dramatically narrowed from its current association with anything and everything that a particular author may find objectionable. In particular, it is argued that the uses of the term by Michel Foucault in his 1978–9 lectures, found in The Birth of Biopolitics, are not particularly compatible with its more recent status as a variant of dominant ideology or hegemony theories. It instead proposes understanding neoliberalism in terms of historical institutionalism, with Foucault’s account of historical change complementing MaxWeber’s work identifying the distinctive economic sociology of national capitalisms.