Assessing the potential of mathematics textbooks to promote deep learning

Curriculum documents for mathematics emphasise the importance of promoting depth of knowledge rather than shallow coverage of the curriculum. In this paper, we report on a study that explored the analysis of junior secondary mathematics textbooks to assess their potential to assist in teaching and learning aimed at building and applying deep mathematical knowledge. The method of analysis involved the establishment of a set of specific curriculum goals and associated indicators, based on research into the teaching and learning of a particular field within the mathematics curriculum, namely proportion and proportional reasoning. Topic selection was due to its pervasive nature throughout the school mathematics curriculum at this level. As a result of this study, it was found that the five textbook series examined provided limited support for the development of multiplicative structures required for proportional reasoning, and hence would not serve well the development of deep learning of mathematics. The study demonstrated a method that could be applied to the analysis of junior secondary mathematics in many parts of the world.

Understanding body image disturbance in the promotion of mental health : a discourse analytic study

Health care interventions in the area of body image disturbance and eating disorders largely involve individual treatment approaches, while prevention and health promotion are relatively underexplored. A review of health promotion activities in the area of body image in Australia revealed three programmes, the most extensive and longest standing having been established in 1992. The aims of this programme are to reduce body image dissatisfaction and inappropriate eating behaviour, especially among women. Because health promotion is concerned with the social aspects of health, it was hypothesized by the authors that a social understanding of body image and eating disorders might be advanced in a health promotion setting and reflected in the approach to practice. In order to examine approaches to body image in health promotion, 10 health professionals responsible for the design and management of this programme participated in a series of semi-structured interviews between 1997 and 2000. Three discursive themes were evident in health workers' explanations of body image problems: (1) cognitive-behavioural themes; (2) gender themes; and (3) socio-cultural themes. While body image problems were constructed as psychological problems that are particularly experienced by women, their origins were largely conceived to be socio-cultural. The implications of these constructions are critically discussed in terms of the approach to health promotion used in this programme.

“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.

Accounts of experiences of bulimia : a discourse analytic study.

Objectives: To identify the variety of versions of bulimia constructed by participants, to suggest functions and consequences of these constructions, and to examine the sociocultural ideologies evident in participants' discourse. Methods: Ten women and one man were interviewed about their experiences of bulimia. Transcribed interviews were analyzed using a discourse analytic approach. Results: Five dominant ways of talking about bulimia were identified: Individuals were constructed as victims of bulimia, women were constructed as victims of social stereotypes, bulimia was constructed as a damaging action one performs on oneself, bulimia was constructed as a personality trait of individuals, and bulimia was marginalized as abnormal and disgusting. Discussion: Sociocultural ideologies evident in participants' accounts included the valuing of individual will-power and self-mastery and the construction of a mind-body dichotomy entailing the need to control the latter. The analysis emphasizes the importance of considering the sociocultural context within which psychological problems occur.

Qualitative analysis and eating disorders : Discourse analytic research on anorexia nervosa

The absence of qualitative analysis in mainstream research on eating disorders is discussed in the following article as being a weakness in developing theory and clinical practice. This article includes an analysis of interviews with British healthcare workers who manage anorexic patients. This analysis presents an example of qualitative methodology in the form of discourse analysis, which is argued to provide a systematic, yet flexible approach to research on eating disorders. The overwhelming prevalence of anorexia nervosa in women is specifically examined within the context of the identification of the "discourse of femininity. " The research findings are discussed in relation to the use of discursive practices that contribute to the maintenance and reproduction of clinical processes and their relative efficacy.

Multiple Literacies Theory: Discourse, sensation, resonance and becoming

This thematic issue on education and the politics of becoming focuses on how a Multiple Literacies Theory (MLT) plugs into practice in education. MLT does this by creating an assemblage between discourse, text, resonance and sensations. What does this produce? Becoming AND how one might live are the product of an assemblage (May, 2005; Semetsky, 2003). In this paper, MLT is the approach that explores the connection between educational theory and practice through the lens of an empirical study of multilingual children acquiring multiple writing systems simultaneously. The introduction explicates discourse, text, resonance, sensation and becoming. The second section introduces certain Deleuzian concepts that plug into MLT. The third section serves as an introduction to MLT. The fourth section is devoted to the study by way of a rhizoanalysis. Finally, drawing on the concept of the rhizome, this article exits with potential lines of flight opened by MLT. These are becomings which highlight the significance of this work in terms of transforming not only how literacies are conceptualized, especially in minority language contexts, but also how one might live.

Narrative, education policy and the newsprint media : A critical discourse analysis of the construction of young people's participation in education or employment

This thesis used Critical Discourse Analysis to investigate how a government policy and the newsprint media constructed discussion about young people’s participation in education or employment. The study found that a continuous narrative across both sites about government as a noble agent taking action to redress the social disruption caused by young people’s disengagement. Unlike the education policy, the newsprint media blamed young people who were disengaged and failed to recognise the barriers they often face. The study points to possibilities for utilising the power of narrative to build a more fair and rigorous discussion of issues in the public sphere.

A discourse on the non-method

In spite of the activism of professional bodies and researchers, empirical evidence shows that project management still does not deliver the expected benefits and promises. Hence, many have questioned the validity of the hegemonic rationalist paradigm anchored in the Enlightenment and Natural Sciences tradition supporting project management research and practice for the last 60 years and the lack of relevance to practice of the current conceptual base of project management. In order to address these limitations many authors, taking a post-modernist stance in social sciences, build on ‘pre-modern’ philosophies such as the Aristotelian one, specially emphasizing the role of praxis (activity), and phronesis (practical wisdom, prudence). Indeed, ‘Praxis … is the central category of the philosophy which is not merely an interpretation of the world, but is also a guide to its transformation …’ (Vazquez, 1977:. 149). Therefore, praxis offers an important focus for practitioners and researchers in social sciences, one in which theory is integrated with practice at the point of intervention. Simply stated, praxis can serve as a common ground for those interested in basic and applied research by providing knowledge of the reality in which action, informed by theory, takes place. Consequently, I suggest a ‘praxeological’ style of reasoning (praxeology being defined as study or science of human actions and conduct, including praxis, practices and phronesis) and to go beyond the ‘Theory-Practice’ divide. Moreover, I argue that we need to move away from the current dichotomy between the two classes ‘scholars experts-researchers’ and ‘managers/workers-practitioners-participants’. Considering one single class of ‘PraXitioner’, becoming a phronimos, may contribute to create new perspectives and open up new ways of thinking and acting in project situations. Thus, I call for a Perestroika in researching and acting in project management situations. My intent is to suggest a balanced praxeological view of the apparent opposition between social and natural science approaches. I explore, in this chapter, three key questions, covering the ontological, epistemological and praxeological dimensions of project management in action. 1. Are the research approaches being currently used appropriate for generating contributions that matter to both theory and practice with regards to what a ‘project’ is or to what we do when we call a specific situation ‘a project’? 2. On the basis of which intellectual virtues is the knowledge generated and what is the impact for theory and practice? 3. Are the modes of action of the practitioners ‘prudent’ and are they differentiating or reconciling formal and abstract rationality from substantive rationality and situated reasoning with regards to the mode of action they adopt in particular project situations? The investigation of the above questions leads me to debate about ‘Project Management-as-Praxis’, and to suggest ‘A’ (not ‘THE’) ‘praxeological’ style of reasoning and mode of inquiry – acknowledging a non-paradigmatic, subjective and kaleidoscopic perspective – for ‘Knowing-as-Practicing’ in project management. In short, this is about making a ‘Projects Science’ that matters.

Female students’ interactions in a middle school engineering project : a case study

Targeting females at high school or earlier may be a key towards engaging them in science, technology, engineering and mathematics (STEM) education. This ethnographic study, part of a three-year longitudinal research project, investigated Year 8 female students’ learning about engineering concepts associated with designing, constructing, testing, and evaluating a catapult. There was a series of lead-up lessons and four lessons for the catapult challenge (total of 18 x 45-minute lessons) over a nine-week period. Data from two girls within a focus group showed that they needed to: (1) receive clarification on engineering terms to facilitate more fluent discourse, (2) question and debate conceptual understandings without peers being judgemental, and (3) have multiple opportunities for engaging with materials towards designing, constructing and explaining key concepts learnt. There are implications for teachers facilitating STEM education, such as: clarifying STEM terms, articulating how students can interact in non-judgmental ways, and providing multiple opportunities for interacting within engineering education.

Constructions of asylum seekers and refugees in Australian political discourse

Immigration to Australia has long been the focus of negative political interest. In recent times, the proposal of exclusionary policies such as the Malaysia Deal in 2011 has fuelled further debate. In these debates, Federal politicians often describe asylum seekers and refugees as ‘illegal’, ‘queue jumpers’, and ‘boat people’. This paper investigates how the political discourse constructs asylum seekers and refugees during debates surrounding the Malaysia Deal in the Federal Parliament of Australia in 2011. Hansard Parliamentary debates were analysed to identify the underlying themes and constructions that permeate political discourse about asylum seekers and refugees. This paper argues that a dichotomous characterisation of legitimacy pervades their construction with this group constructed either as legitimate humanitarian refugees or as illegitimate ‘boat arrivals’. These constructions result in the misrepresentation of asylum seekers as illegitimate, undermining their right to protection under Australia’s laws and international obligations. This construction also represents a shift in federal political discourse from constructing asylum seekers as a border or security threat, towards an increasing preoccupation with this categorisation of people as legitimate, or illegitimate.

Adapting an argumentation framework for online discourse analysis : a knowledge building approach

The use of online tools to support teaching and learning is now commonplace within educational institutions, with many of these institutions mandating or strongly encouraging the use of a blended learning approach to teaching and learning. Consequently, these institutions generally adopt a learning management system (LMS), with a fixed set of collaborative tools, in the belief that effective teaching and learning approaches will be used, to allow students to build knowledge. While some studies into the use of an LMS’s still identify continued didactic approaches to teaching and learning, the focus of this paper is on the ability of collaborative tools such as discussion forums, to build knowledge. In the context of science education, argumentation is touted as playing an important role in this process of knowledge building. However, there is limited research into argumentation in other domains using online discussion and a blended learning approach. This paper describes a study, using design research, which adapts a framework for argumentation that can be applied to other domains. In particular it will focus on an adapted social argumentation schema to identify argument in a discussion forum of N=16 participants in a secondary High School.

Data and measurement in Year 4 of the national curriculum : Mathematics

The activities introduced here were used in association with a research project in four Year 4 classrooms and are suggested as a motivating way to address several criteria for Measurement and Data in the Australian Curriculum: Mathematics. The activities involve measuring the arm span of one student in a class many times and then of all students once.

Perspectives on Reconceptualizing Early Mathematics Learning

This introductory section provides an overview of the different perspectives on reconceptualizing early mathematics learning. The chapters provide a broad scope in their topics and approaches to advancing young children’s mathematical learning. They incorporate studies that highlight the importance of pattern and structure across the curriculum, studies that target particular content such as statistics, early algebra, and beginning number, and studies that consider how technology and other tools can facilitate early mathematical development. Reconceptualizing the professional learning of teachers in promoting young children’s mathematics, including a consideration of the role of play, is also addressed. Although these themes are diffused throughout the chapters, we restrict our introduction to the core focus of each of the chapters.

Reconceptualizing Early Mathematics Learning : The Fundamental Role of Pattern and Structure

The Pattern and Structure Mathematics Awareness Program (PASMAP) was developed concurrently with the studies of AMPS and the development of the Pattern and Structure Assessment (PASA) interview. We summarize some early classroom-based teaching studies and describe the PASMAP that resulted. A large-scale two-year longitudinal study, Reconceptualizing Early Mathematics Learning (REML) resulted. We provide an overview of the REML study and discuss the consequences for our view of early mathematics learning. A purposive sample of four large primary schools, two in Sydney and two in Brisbane, representing 316 students from diverse socio-economic and cultural contexts, participated in an evaluation of the PASMAP intervention throughout the 2009 school year and a follow-up assessment in 2010. Two different mathematics programs were implemented: in each school, two Kindergarten teachers implemented the PASMAP and another two implemented their regular program. The study shows that both groups of students made substantial gains on the ‘I Can Do Maths’ standardized assessment and the PASA interview, but highly significant differences were found on the latter with PASMAP students outperforming the regular group on PASA scores. Qualitative analysis of students’ responses for structural development showed increased levels for the PASMAP students. Implications for pedagogy and curriculum are discussed.