Using activity theory in researching young children's use of calculators

Constructivist and socio-cultural perspectives in mathematics education highlight the crucial role that activity plays in mathematical development and learning. Activity theory provides a socio-cultural lens to help analyse human behaviour, including that which occurs in classrooms. It provides a framework for co-ordinating constructivist and socio-cultural perspectives in mathematics learning. In this paper, we adopt Cole and Engeström's (1991) model of activity theory to examine the mediation offered by the calculator as a tool for creating and supporting learning processes of young children in the social environment of their classroom. By adopting this framework, data on young children's learning outcomes in number, when given free access to calculators, can be examined not only in terms of the mediating role of the calculator, but also within the broader context of the classroom community, the teachers' beliefs and intentions, and the classroom norms and the division of labour. Use of this model in a post hoc situation suggests that activity theory can play a significant role in the planning of future classroom research.

Do features of public open spaces vary according to neighbourhood socio-economic status?

This study examined the relations between neighbourhood socio-economic status and features of public open spaces (POS) hypothesised to influence children's physical activity. Data were from the first follow-up of the Children Living in Active Neighbourhoods (CLAN) Study, which involved 540 families of 5–6 and 10–12-year-old children in Melbourne, Australia. The Socio-Economic Index for Areas Index (SEIFA) of Relative Socio-economic Advantage/Disadvantage was used to assign a socioeconomic index score to each child's neighbourhood, based on postcode. Participant addresses were geocoded using a Geographic Information System. The Open Space 2002 spatial data set was used to identify all POS within an 800 m radius of each participant's home. The features of each of these POS (1497) were audited. Variability of POS features was examined across quintiles of neighbourhood SEIFA. Compared with POS in lower socioeconomic neighbourhoods, POS in the highest socioeconomic neighbourhoods had more amenities (e.g. picnic tables and drink fountains) and were more likely to have trees that provided shade, a water feature (e.g. pond, creek), walking and cycling paths, lighting, signage regarding dog access and signage restricting other activities. There were no differences across neighbourhoods in the number of playgrounds or the number of recreation facilities (e.g. number of sports catered for on courts and ovals, the presence of other facilities such as athletics tracks, skateboarding facility and swimming pool). This study suggests that POS in high socioeconomic neighbourhoods possess more features that are likely to promote physical activity amongst children.

Environmental determinants of healthy eating : in need of theory and evidence

In order to promote healthful nutrition, insight is needed into the determinants of nutrition behaviours. Behavioural determinant research and behavioural nutrition interventions have focused mostly on individual-level motivational factors. It has been argued that the individual's socio-cultural and physical environments may be the main determinants of nutrition behaviours. However, the theoretical basis and empirical evidence for environmental determinants of nutrition behaviours are not strong. The present paper is a narrative review informed by a series of systematic reviews and recent original studies on associations between environmental factors and nutrition behaviours to provide an overview and discussion of the evidence for environmental correlates and predictors of nutrition behaviour. Although the number of studies on potential environmental determinants of nutrition behaviours has increased steeply over the last decades, they include only a few well-designed studies with validated measures and guided by sound theoretical frameworks. The preliminary evidence from the available systematic reviews indicates that socio-cultural environmental factors defining what is socially acceptable, desirable and appropriate to eat may be more important for healthful eating than physical environments that define the availability and accessibility of foods. It is concluded that there is a lack of well-designed studies on environmental determinants of healthful eating behaviours. Preliminary evidence indicates that social environmental factors may be more important than physical environmental factors for healthful eating. Better-designed studies are needed to further build evidence-based theory on environmental determinants to guide the development of interventions to promote healthful eating.

Spatial discretization of discrete dynamical systems

Investigates what can go wrong when dynamical systems are modelled with a computer. Number theoretic techniques were used to detail the effects "discretization" errors caused by computer round-off had on characteristics of a system. In particular, a relationship was established between the occurrence of long cycles in a system and the classical result known as Artin's conjecture. Algorithms were then developed which eliminated discretization errors.

An agent-based approach to value theory and wealth distribution in economics

Any attempt to model an economy requires foundational assumptions about the relations between prices, values and the distribution of wealth. These assumptions exert a profound influence over the results of any model. Unfortunately, there are few areas in economics as vexed as the theory of value. I argue in this paper that the fundamental problem with past theories of value is that it is simply not possible to model the determination of value, the formation of prices and the distribution of income in a real economy with analytic mathematical models. All such attempts leave out crucial processes or make unrealistic assumptions which significantly affect the results. There have been two primary approaches to the theory of value. The first, associated with classical economists such as Ricardo and Marx were substance theories of value, which view value as a substance inherent in an object and which is conserved in exchange. For Marxists, the value of a commodity derives solely from the value of the labour power used to produce it - and therefore any profit is due to the exploitation of the workers. The labour theory of value has been discredited because of its assumption that labour was the only ‘factor’ that contributed to the creation of value, and because of its fundamentally circular argument. Neoclassical theorists argued that price was identical with value and was determined purely by the interaction of supply and demand. Value then, was completely subjective. Returns to labour (wages) and capital (profits) were determined solely by their marginal contribution to production, so that each factor received its just reward by definition. Problems with the neoclassical approach include assumptions concerning representative agents, perfect competition, perfect and costless information and contract enforcement, complete markets for credit and risk, aggregate production functions and infinite, smooth substitution between factors, distribution according to marginal products, firms always on the production possibility frontier and firms’ pricing decisions, ignoring money and credit, and perfectly rational agents with infinite computational capacity. Two critical areas include firstly, the underappreciated Sonnenschein-Mantel- Debreu results which showed that the foundational assumptions of the Walrasian general-equilibrium model imply arbitrary excess demand functions and therefore arbitrary equilibrium price sets. Secondly, in real economies, there is no equilibrium, only continuous change. Equilibrium is never reached because of constant changes in preferences and tastes; technological and organisational innovations; discoveries of new resources and new markets; inaccurate and evolving expectations of businesses, consumers, governments and speculators; changing demand for credit; the entry and exit of firms; the birth, learning, and death of citizens; changes in laws and government policies; imperfect information; generalized increasing returns to scale; random acts of impulse; weather and climate events; changes in disease patterns, and so on. The problem is not the use of mathematical modelling, but the kind of mathematical modelling used. Agent-based models (ABMs), objectoriented programming and greatly increased computer power however, are opening up a new frontier. Here a dynamic bargaining ABM is outlined as a basis for an alternative theory of value. A large but finite number of heterogeneous commodities and agents with differing degrees of market power are set in a spatial network. Returns to buyers and sellers are decided at each step in the value chain, and in each factor market, through the process of bargaining. Market power and its potential abuse against the poor and vulnerable are fundamental to how the bargaining dynamics play out. Ethics therefore lie at the very heart of economic analysis, the determination of prices and the distribution of wealth. The neoclassicals are right then that price is the enumeration of value at a particular time and place, but wrong to downplay the critical roles of bargaining, power and ethics in determining those same prices.

Improved subspace clustering via exploitation of spatial constraints

We present a novel approach to improving subspace clustering by exploiting the spatial constraints. The new method encourages the sparse solution to be consistent with the spatial geometry of the tracked points, by embedding weights into the sparse formulation. By doing so, we are able to correct sparse representations in a principled manner without introducing much additional computational cost. We discuss alternative ways to treat the missing and corrupted data using the latest theory in robust lasso regression and suggest numerical algorithms so solve the proposed formulation. The experiments on the benchmark Johns Hopkins 155 dataset demonstrate that exploiting spatial constraints significantly improves motion segmentation.

The Copenhagen school on your in Kyrgyzstan : is securitization theory useable outside Europe?

The article argues that the theoretical framework presented by the Copenhagen School is currently unsuited to empirical studies outside the West owing to two factors. First, the presence of the ‘Westphalian straitjacket’ has prevented explicit interrogation of the normative concepts underlying the framework: there is a presumption that European understandings of society and the state are universal. Second, the centrality of the speech-act for securitization to the exclusion of other forms of expression, such as physical action, results in the theoretical framework producing a Westernized description of a given situation. The extent to which these factors limit the utility of the concepts of securitization and societal security in a non-Western setting is illustrated through the case of the overthrow of the government in Kyrgyzstan in March 2005. This example forms an empirical critique to highlight how theoretical shortcomings result in a simplified and Westernized description of the situation that does not take into account the specific local socio-political context. The article concludes that if the Copenhagen School’s theoretical framework is to be considered suitable for universal application, future theoretical developments must explicitly address the issues discussed to enable progress in escaping International Relations’ Westphalian straitjacket.

You say security, we say safety : speaking and talking ‘security’ in Kyrgyzstan

The Copenhagen School's notion of securitization is widely recognised as an important theoretical innovation in the conceptualisation of security, not least for its potential for including a range of actors and spatial scales beyond the state. However, its empirical utility remains more open to question due to a lack of reflexivity regarding local socio-cultural contexts, narrow focus on speech and inherently retrospective nature. Drawing on fieldwork conducted by the author in Kyrgyzstan between September 2005 and June 2006, this paper will examine the implications of these limitations for conducting empirical research on "security" logistically and methodologically. Centrally, the question of how “security” can be researched in the field will be discussed. Consideration will be given to the researcher’s role in talking “security” and how “security” can effectively be located and explicated through the creation of ethnomethodological “thick description”. Issues of contingency, multiple voices and power loci, and inter-cultural translation will be addressed. The paper will conclude with a consideration of how local knowledge can be used to inform our research and help find ways to bridge the divide between the field and theory.

Place-related identities through texts : from interdisciplinary theory to research agenda

The implications of the transdisciplinary spatial turn are attract- ing growing interest in a broad range of areas related to education. This paper draws on a methodology for interdisciplinary thinking in order to articulate a new theoretical configuration of place-related identity, and its implications for a research agenda. The new configuration is created through an analy- sis of place-related identities in narrative theory, texts and literacy processes. The emerging research agenda focuses on the ways children perceive and rep- resent their place-related identities through reading and writing as inspired by and manifested in texts.

The problem of underachievement in numeracy : using bourdieu and critical theory to interpret academic achievement

The paper considers the achievement gap experienced by Victorian public school students. The paper uses a methodological approach informed by critical theory to interpret achievement levels between students from high and low socio-economic status. It analyses and discusses documented data and in doing this, reflects upon the work of Bourdieu emphasizing the reproductive nature of contemporary schooling. 

Learning architecture through ideas about the spatial body

There are many varied ways that the human body is referred to in the thinking about architecture. However, rethinking about the body in other disciplines has meant that some of the binary theories within architecture have needed to be reviewed. The spatial body is a particular conceptualisation of the body that brings a focus onto space within architecture, and proposes that rethinking space through the body produces different and new ideas of spatiality. This paper examines body-architecture relations and how they might be revised in order that a spatial body is conceptualised. While this idea of the spatial body has been theorised through research, it can also be explored through creative practices and teaching. The theory is extended by a presentation of a studio programme that tried to develop exploration of architectural space through the idea of the spatial body.

Mana Taonga and the public sphere: a dialogue between indigenous practice and Western theory

Recent re-conceptualizations of the ‘public sphere’ facilitated a much needed shift in thinking about identity politics ‘from a substance … to a movement’ (Weibel and Latour, 2007). This laid the foundation for dissolving the ‘emanatist vision’ (Bourdieu, 1990) of self-explanatory and perpetual systems and structures towards the interrogation of actions and performances that simultaneously constitute and are affected by such wider socio-political realities. Most academic contributions, however, remain on a normative or theoretical level without offering empirical insights.

This article introduces Mana Taonga as an Indigenous Māori concept of cultural politics embedded in current museum practice at the Museum of New Zealand Te Papa Tongarewa (Te Papa). It creates a dialogue between Indigenous Māori practice and Western theory leading to a refined understanding of performative democracy within a museum as forum, or public sphere. The authors argue that a specific museum offers a particular place, space and empirical reality to interrogate seemingly universal concepts such as ‘culture’ and ‘politics’ by blending theoretical notions with an awareness of institutional contexts and practices.

Transiting with the environment: an exploration of traveller’s reorientations as creative and collaborative practice

Travellers undertake a process of reorientation and realignment that is particular to each destination. This process intensifies when travelling long distances across borders, cultures and climates, as travellers utilise performative, embodied and creative methods that respond to each new environment. Certain destinations, such as those with unique and extreme natural environments, induce a socio-cultural imaginary that primes travellers for what kind of experience they might have. Large, immersive landscapes and climates congeal with expectations of what each destination requires in order to navigate through it. Common bearings of distance and scale are skewed, as travellers are positioned within areas of vastness. In these moments immersive experiences contrast with daily processes, such as the act of packing a bag, as this heightened sensory awareness exacerbates the subtle material and spatial negotiations. Utilising interviews and photographic documentation of travellers to Iceland and Nepal, this paper develops the proposal that certain destinations intensify our attunement to these moments of reorientation, facilitating situated and creative methods.

As recent developments in the fields of mobilities and tourism draws attention to material interactions during travel, and current ‘new materialism’ movements in theory and practice reveal alternative affective methods of engagement, an exploration of interactions with/in immersive sites is needed in order to evaluate the potential that these kinds of transitions offer everyday experiences of movement. Nigel Thrift’s proposition of Non-Representational Theory provides clarity on the ways in which spatial awareness influences such transitions and environmental experiences. Using his acknowledgement of a more ontologically driven responsiveness to space, this permits a shift away from the presupposed containment of spaces as isolated destinations, toward a relational spatiality that encompasses all actors – including environments – as vital elements in the generative processes of situating our movements.

Creative strategies that afford sensory, aesthetic and embodied performances provide ways to examine these experiences, providing a multitude of possibilities as individual experiences shift towards collective and collaborative performances, as we are immersed within a range of human and non-human actors. This paper explores the transition away from ‘consuming’ environments, and advocates for the need to turn towards a situated collaboration with environments, propelling an awareness of sustainable and creative travel practices. An understanding of affirmative differences is required within travel cultures, rather than expressing transitions as confined within the ‘home’ versus ‘away’ dichotomy that lingers from elite western travel narratives. In order to undertake the many movements required, this paper draws on the theoretical approaches of sustainable nomadism as described by Rosi Braidotti to highlight the linkages of environmental and bodily experiences.

Through multidisciplinary literature, interviews and personal reflections, this paper proposes that certain destinations amplify processes of alignment with the environment, developing affective, embodied and situated experiences that overcome the human/non-human divide.

Imago veritas falsa: for a (post-)Schmittian decisionist theory of law, legal reasoning, and judging

For decades, while approaching the ‘normativism/pragmatism’ divide and discussing the legitimacy of (and opportunity for) the judge to act as a ‘social engineer’, socio-legal scholars have tried to ascertain whether the jurist should also consider the impact of his/her activity on society at large, and if so, why and to what extent. The present contribution understands instead the law in terms of a structurally incomplete image (imago veritas falsa) which always needs the decisive intervention of the legal interpreter to exercise its performative instances. In particular, by adopting an unconventional theoretico-philosophical approach that transcends the classic boundaries of foundationalist metaphysics as expressed by the dichotomy of Western logic, this paper argues for the necessity of a tertium comparationis capable of explaining that the real essence of law, legal reasoning, and judging is neither that of normativism, nor of pragmatism, but rather of (post-)Schmittian decisionism.