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]

Idealistic quantum psychopathology : a way forward?

Quantum psychopathology holds the so called “quantum mind” hypothesis, which is controversial. In addition, this hypothesis focuses attention onto quantum processes in the brain, and how this may relate to psychopathological issues. This is very “low level”. As a consequence, it is challenging to form bridges to “higher level” problems related to psychopathology. By adopting the stance used in the quantum interaction community or researchers, this reply puts forward the idea that an idealistic approach may circumvent the controversy and opens the way for addressing challenges at higher levels of psychopathology.

Poverty in perception : a study of the twentieth-century prime ministers of Australia and New Zealand

Australia and New Zealand, as English-speaking nations with dominant white populations, present an ethnic anomaly not only in South East Asia, but also in the Southern Hemisphere. Colonised by predominantly workingclass British immigrants from the late eighteenth century, an ethnic and cultural connection grew between these two countries even though their indigenous populations and ecological environments were otherwise very different. Building a new life in Australia and New Zealand, the colonists shared similar historic perceptions of poverty – perceptions from their homelands that they did not want to see replicated in their new adopted countries. Dreams of a better life shaped their aspirations, self-identity and nationalistic outlook. By the twentieth century, national independence and self-government had replaced British colonial rule. The inveterate occurrence of poverty in Australia and New Zealand had created new local perspectives and different perceptions of, and about, poverty. This study analyses what relationship existed between the political directions adopted by the twentieth-century prime ministers of Australia and New Zealand and their perceptions of poverty. Using the existential phenomenological theory and methodology of Maurice Merleau-Ponty, the study adds to the body of knowledge about poverty in Australia and New Zealand by revealing the structure and origin of the poverty perceptions of the twentieth-century prime ministers.

Workplace design in the knowledge economy : a case of the NetWorkPlace™©

This thesis explores a way to inform the architectural design process for contemporary workplace environments. It reports on both theoretical and practical outcomes through an exclusively Australian case study of a network enterprise comprised of collaborative, yet independent business entities. The internet revolution, substantial economic and cultural shifts, and an increased emphasis on lifestyle considerations have prompted a radical re-ordering of organisational relationships and the associated structures, processes, and places of doing business. The social milieu of the information age and the knowledge economy is characterised by an almost instantaneous flow of information and capital. This has culminated in a phenomenon termed by Manuel Castells as the network society, where physical locations are joined together by continuous communication and virtual connectivity. A new spatial logic encompassing redefined concepts of space and distance, and requiring a comprehensive shift in the approach to designing workplace environments for today’s adaptive, collaborative organisations in a dynamic business world, provides the backdrop for this research. Within the duality of space and an augmentation of the traditional notions of place, organisational and institutional structures pose new challenges for the design professions. The literature revealed that there has always been a mono-organisational focus in relation to workplace design strategies. The phenomenon of inter-organisational collaboration has enabled the identification of a gap in the knowledge relative to workplace design. This new context generated the formulation of a unique research construct, the NetWorkPlace™©, which captures the complexity of contemporary employment structures embracing both physical and virtual work environments and practices, and provided the basis for investigating the factors that are shaping and defining interactions within and across networked organisational settings. The methodological orientation and the methods employed follow a qualitative approach and an abductively driven strategy comprising two distinct components, a cross-sectional study of the whole of the network and a longitudinal study, focusing on a single discrete workplace site. The complexity of the context encountered dictated that a multi-dimensional investigative framework was required to be devised. The adoption of a pluralist ontology and the reconfiguration of approaches from traditional paradigms into a collaborative, trans-disciplinary, multi-method epistemology provided an explicit and replicatable method of investigation. The identification and introduction of the NetWorkPlace™© phenomenon, by necessity, spans a number of traditional disciplinary boundaries. Results confirm that in this context, architectural research, and by extension architectural practice, must engage with what other disciplines have to offer. The research concludes that no single disciplinary approach to either research or practice in this area of design can suffice. Pierre Bourdieau’s philosophy of ‘practice’ provides a framework within which the governance and technology structures, together with the mechanisms enabling the production of social order in this context, can be understood. This is achieved by applying the concepts of position and positioning to the corporate power dynamics, and integrating the conflict found to exist between enterprise standard and ferally conceived technology systems. By extending existing theory and conceptions of ‘place’ and the ‘person-environment relationship’, relevant understandings of the tensions created between Castells’ notions of the space of place and the space of flows are established. The trans-disciplinary approach adopted, and underpinned by a robust academic and practical framework, illustrates the potential for expanding the range and richness of understanding applicable to design in this context. The outcome informs workplace design by extending theoretical horizons, and by the development of a comprehensive investigative process comprising a suite of models and techniques for both architectural and interior design research and practice, collectively entitled the NetWorkPlace™© Application Framework. This work contributes to the body of knowledge within the design disciplines in substantive, theoretical, and methodological terms, whilst potentially also influencing future organisational network theories, management practices, and information and communication technology applications. The NetWorkPlace™© as reported in this thesis, constitutes a multi-dimensional concept having the capacity to deal with the fluidity and ambiguity characteristic of the network context, as both a topic of research and the way of going about it.

The influence of fatalistic beliefs on risky road use behavior in developing countries

There is little discussion of fatalism in the road safety literature, and limited research. However, fatalism is a potential barrier to participation in health-promoting behaviours, particularly among the populations of developing countries and to some extent in developed countries. Many people still believe in divine discretion and magical powers as causes of road crashes in different parts of the world. Fatalistic beliefs and beliefs in mystical powers and superstition appear to influence perceptions of crash risk and consequently lead people to take risks and neglect safety measures. Fatalistic beliefs may cause individuals to be resigned to risks because they cannot do anything to reduce these risks.

Reducing high levels of communication apprehension among primary school students

This study focused on a group of primary school teachers as they implemented a variety of intervention actions within their class programs aimed towards supporting the reduction of high levels of communication apprehension (CA) among students.Six teachers and nine students, located across three primary schools, four year levels,and six classes, participated in this study. For reasons of confidentiality the schools,principals, parents, teachers, teacher assistants, and students who were involved in this study were given fictitious names. The following research question was explored in this study: What intervention actions can primary school teachers implement within their class programs that support the reduction of high CA levels among students? Throughout this study the term CA referred to "an individual's level of fear or anxiety associated with either real or anticipated (oral) communication with another person or persons" (McCroskey, 1984, p. 13). The sources of CA were explained with reference to McCroskey's state-trait continuum. The distinctions between high and appropriate levels of CA were determined conceptually and empirically. The education system within which this study was conducted promoted the philosophy of inclusion and the practices of inclusive schooling. Teachers employed in this system were encouraged to create class programs inclusive of and successful for all students. Consequently the conceptual framework within which this study was conducted was based around the notion of inclusion. Action research and case study research were the methodologies used in the study. Case studies described teachers' action research as they responded to the challenge of executing intervention actions within their class programs directed towards supporting the reduction of high CA levels among students. Consequently the teachers and not the researcher were the central characters in each of the case studies. Three principal data collection instruments were used in this study: Personal Report of Communication Fear (PRCF) scale, semistructured interviews, and dialogue journals. The PRCF scale was the screening tool used to identify a pool of students eligible for the study. Data relevant to the students involved in the study were gathered during semistructured interviews and throughout the dialogue journaling process. Dialogue journaling provided the opportunity for regular contact between teachers and the researcher, a sequence to teacher and student intervention behaviours, and a permanent record of teacher and student growth and development. The majority of teachers involved in this study endeavoured to develop class programs inclusive of all students.These teachers acknowledged the importance of modifying aspects of their class programs in response to the diverse and often multiple needs of individual students with high levels of CA. Numerous conclusions were drawn regarding practical ways that the teachers in this study supported the reduction of high CA levels among students. What this study has shown is that teachers can incorporate intervention actions within their class programs aimed towards supporting students lower their high levels of CA. Whilst no teacher developed an identical approach to intervention, similarities and differences were evident among teachers regarding their selection, interpretation, and implementation of intervention actions. Actions that teachers enacted within their class programs emerged from numerous fields of research including CA, inclusion, social skills, behaviour teaching, co-operative learning, and quality schools. Each teacher's knowledge of and familiarity with these research fields influenced their preference for and commitment to particular intervention actions. Additional factors including each teacher's paradigm of inclusion and exclusion contributed towards their choice of intervention actions. Possible implications of these conclusions were noted with reference to teachers,school administrators, support personnel, system personnel, teacher educators, parents, and researchers.

Re-thinking home economics : from modern to postmodern accounts of pedagogical bodies

Two perceptions of the marginality of home economics are widespread across educational and other contexts. One is that home economics and those who engage in its pedagogy are inevitably marginalised within patriarchal relations in education and culture. This is because home economics is characterised as women's knowledge, for the private domain of the home. The other perception is that only orthodox epistemological frameworks of inquiry should be used to interrogate this state of affairs. These perceptions have prompted leading theorists in the field to call for non-essentialist approaches to research in order to re-think the thinking that has produced this cul-de-sac positioning of home economics as a body of knowledge and a site of teacher practice. This thesis takes up the challenge of working to locate a space outside the frame of modernist research theory and methods, recognising that this shift in epistemology is necessary to unsettle the idea that home economics is inevitably marginalised. The purpose of the study is to reconfigure how we have come to think about home economics teachers and the profession of home economics as a site of cultural practice, in order to think it otherwise (Lather, 1991). This is done by exploring how the culture of home economics is being contested from within. To do so, the thesis uses a 'posthumanist' approach, which rejects the conception of the individual as a unitary and fixed entity, but instead as a subject in process, shaped by desires and language which are not necessarily consciously determined. This posthumanist project focuses attention on pedagogical body subjects as the 'unsaid' of home economics research. It works to transcend the modernist dualism of mind/body, and other binaries central to modernist work, including private/public, male/female,paid/unpaid, and valued/unvalued. In so doing, it refuses the simple margin/centre geometry so characteristic of current perceptions of home economics itself. Three studies make up this work. Studies one and two serve to document the disciplined body of home economics knowledge, the governance of which works towards normalisation of the 'proper' home economics teacher. The analysis of these accounts of home economics teachers by home economics teachers, reveals that home economics teachers are 'skilled' yet they 'suffer' for their profession. Further,home economics knowledge is seen to be complicit in reinforcing the traditional roles of masculinity and femininity, thereby reinforcing heterosexual normativity which is central to patriarchal society. The third study looks to four 'atypical'subjects who defy the category of 'proper' and 'normal' home economics teacher. These 'atypical' bodies are 'skilled' but fiercely reject the label of 'suffering'. The discussion of the studies is a feminist poststructural account, using Russo's (1994) notion of the grotesque body, which is emergent from Bakhtin's (1968) theory of the carnivalesque. It draws on the 'shreds' of home economics pedagogy,scrutinising them for their subversive, transformative potential. In this analysis, the giving and taking of pleasure and fun in the home economics classroom presents moments of surprise and of carnival. Foucault's notion of the construction of the ethical individual shows these 'atypical' bodies to be 'immoderate' yet striving hard to be 'continent' body subjects. This research captures moments of transgression which suggest that transformative moments are already embodied in the pedagogical practices of home economics teachers, and these can be 'seen' when re-looking through postmodemist lenses. Hence, the cultural practices ofhome economics as inevitably marginalised are being contested from within. Until now, home economics as a lived culture has failed to recognise possibilities for reconstructing its own field beyond the confines of modernity. This research is an example of how to think about home economics teachers and the profession as a reconfigured cultural practice. Future research about home economics as a body of knowledge and a site of teacher practice need not retell a simple story of oppression. Using postmodemist epistemologies is one way to provide opportunities for new ways of looking.

On the data consumption benefits of accepting increased uncertainty

In the context of learning paradigms of identification in the limit, we address the question: why is uncertainty sometimes desirable? We use mind change bounds on the output hypotheses as a measure of uncertainty, and interpret ‘desirable’ as reduction in data memorization, also defined in terms of mind change bounds. The resulting model is closely related to iterative learning with bounded mind change complexity, but the dual use of mind change bounds — for hypotheses and for data — is a key distinctive feature of our approach. We show that situations exists where the more mind changes the learner is willing to accept, the lesser the amount of data it needs to remember in order to converge to the correct hypothesis. We also investigate relationships between our model and learning from good examples, set-driven, monotonic and strong-monotonic learners, as well as class-comprising versus class-preserving learnability.

The nonconceptual gateway to early word learning

My research investigates why nouns are learned disproportionately more frequently than other kinds of words during early language acquisition (Gentner, 1982; Gleitman, et al., 2004). This question must be considered in the context of cognitive development in general. Infants have two major streams of environmental information to make meaningful: perceptual and linguistic. Perceptual information flows in from the senses and is processed into symbolic representations by the primitive language of thought (Fodor, 1975). These symbolic representations are then linked to linguistic input to enable language comprehension and ultimately production. Yet, how exactly does perceptual information become conceptualized? Although this question is difficult, there has been progress. One way that children might have an easier job is if they have structures that simplify the data. Thus, if particular sorts of perceptual information could be separated from the mass of input, then it would be easier for children to refer to those specific things when learning words (Spelke, 1990; Pylyshyn, 2003). It would be easier still, if linguistic input was segmented in predictable ways (Gentner, 1982; Gleitman, et al., 2004) Unfortunately the frequency of patterns in lexical or grammatical input cannot explain the cross-cultural and cross-linguistic tendency to favor nouns over verbs and predicates. There are three examples of this failure: 1) a wide variety of nouns are uttered less frequently than a smaller number of verbs and yet are learnt far more easily (Gentner, 1982); 2) word order and morphological transparency offer no insight when you contrast the sentence structures and word inflections of different languages (Slobin, 1973) and 3) particular language teaching behaviors (e.g. pointing at objects and repeating names for them) have little impact on children's tendency to prefer concrete nouns in their first fifty words (Newport, et al., 1977). Although the linguistic solution appears problematic, there has been increasing evidence that the early visual system does indeed segment perceptual information in specific ways before the conscious mind begins to intervene (Pylyshyn, 2003). I argue that nouns are easier to learn because their referents directly connect with innate features of the perceptual faculty. This hypothesis stems from work done on visual indexes by Zenon Pylyshyn (2001, 2003). Pylyshyn argues that the early visual system (the architecture of the "vision module") segments perceptual data into pre-conceptual proto-objects called FINSTs. FINSTs typically correspond to physical things such as Spelke objects (Spelke, 1990). Hence, before conceptualization, visual objects are picked out by the perceptual system demonstratively, like a finger pointing indicating ‘this’ or ‘that’. I suggest that this primitive system of demonstration elaborates on Gareth Evan's (1982) theory of nonconceptual content. Nouns are learnt first because their referents attract demonstrative visual indexes. This theory also explains why infants less often name stationary objects such as plate or table, but do name things that attract the focal attention of the early visual system, i.e., small objects that move, such as ‘dog’ or ‘ball’. This view leaves open the question how blind children learn words for visible objects and why children learn category nouns (e.g. 'dog'), rather than proper nouns (e.g. 'Fido') or higher taxonomic distinctions (e.g. 'animal').

The importance of project governance framework in project procurement planning

Project Procurement is a ‘great’ environment for ethical issues with its low-price state of mind and competition. It has many opportunities that could contribute to illegal activities or unethical behavior especially in the construction industry. In 2006 alone, 17.3% of 417 Malaysian government contract projects were considered sick due to the poor performance by the contractors. Therefore it is important to govern the project procurement, especially the plan procurement stage to ensure the accountability and transparency of the decision made in awarding the right contract to the best contractor. This is where project governance framework (PGF) is really needed in project procurement planning. Project governance is a subset of corporate governance focusing on the areas of corporate governance related to project activities, including: portfolio direction, project sponsorship, project and program management and efficiency and disclosure and reporting. This paper highlights the importance of implementing project governance framework (PGF) to ensure that the decision makers are answerable and accountable to the stakeholders, and the decision making is transparent to avoid any ethical issues arises. A comprehensive preliminary literature is carried out to discover the importance of executing PGF in project procurement in Malaysian public sector. By understanding the important of PGF, it is hoped that this will bring a signal to other developing countries to implement the similar method in ensuring the transparency of the decision making in project procurement planning in their countries.

Questioning a "Compulsory Ontology of Pathology" regarding suicide and the suicidal

Review of Suicide : Foucault, History and Truth, by Ian Marsh

On the data consumption benefits of accepting increased uncertainty

In the context of learning paradigms of identification in the limit, we address the question: why is uncertainty sometimes desirable? We use mind change bounds on the output hypotheses as a measure of uncertainty and interpret ‘desirable’ as reduction in data memorization, also defined in terms of mind change bounds. The resulting model is closely related to iterative learning with bounded mind change complexity, but the dual use of mind change bounds — for hypotheses and for data — is a key distinctive feature of our approach. We show that situations exist where the more mind changes the learner is willing to accept, the less the amount of data it needs to remember in order to converge to the correct hypothesis. We also investigate relationships between our model and learning from good examples, set-driven, monotonic and strong-monotonic learners, as well as class-comprising versus class-preserving learnability.