On the integration of digital technologies into mathematics classrooms

Trouche‘s (2003) presentation at the Third Computer Algebra in Mathematics Education Symposium focused on the notions of instrumental genesis and of orchestration: the former concerning the mutual transformation of learner and artefact in the course of constructing knowledge with technology; the latter concerning the problem of integrating technology into classroom practice. At the Symposium, there was considerable discussion of the idea of situated abstraction, which the current authors have been developing over the last decade. In this paper, we summarise the theory of instrumental genesis and attempt to link it with situated abstraction. We then seek to broaden Trouche‘s discussion of orchestration to elaborate the role of artefacts in the process, and describe how the notion of situated abstraction could be used to make sense of the evolving mathematical knowledge of a community as well as an individual. We conclude by elaborating the ways in which technological artefacts can provide shared means of mathematical expression, and discuss the need to recognise the diversity of student‘s emergent meanings for mathematics, and the legitimacy of mathematical expression that may be initially divergent from institutionalised mathematics

Information technology as boundary object for transformational learning

Collaborative work is considered as a way to improve productivity and value generation in construction. However, recent research demonstrates that socio-cognitive factors related to fragmentation of specialized knowledge may hinder team performance. New methods based on theories of practice are emerging in Computer Supported Collaborative Work and organisational learning to break these knowledge boundaries, facilitating knowledge sharing and the generation of new knowledge through transformational learning. According to these theories, objects used in professional practice play a key role in mediating interactions. Rules and methods related to these practices are also embedded in these objects. Therefore changing collaborative patterns demand reconfiguring objects that are at the boundary between specialized practices, namely boundary objects. This research is unique in presenting an IT strategy in which technology is used as a boundary object to facilitate transformational learning in collaborative design work

Community Dimensions of Learning Object Repositories

This paper outlines some enablers and barriers in the use of learning object repositories (LORs) to support learning within a range of communities. Key dimensions of use of LORs as well as relationships between LORs and the learning communities that they aim to support are discussed. The LORs and communities analysed in the paper are SIESWE Learning Exchange (formerly Stor Curam), JORUM, IVIMEDS, and DIDET. Guided by the Activity Theory perspective, the LORs and the communities are analysed as sociocultural activity systems. Based on this analysis, some initial barriers and enablers for the use of LORs to support learning are outlined and implications for the future use of LORs are discussed

Simulating activities: Relating motives, deliberation, and attentive coordination

Activities are located behaviors, taking time, conceived as socially meaningful, and usually involving interaction with tools and the environment. In modeling human cognition as a form of problem solving (goal-directed search and operator sequencing), cognitive science researchers have not adequately studied “off-task” activities (e.g., waiting), non-intellectual motives (e.g., hunger), sustaining a goal state (e.g., playful interaction), and coupled perceptual-motor dynamics (e.g., following someone). These aspects of human behavior have been considered in bits and pieces in past research, identified as scripts, human factors, behavior settings, ensemble, flow experience, and situated action. More broadly, activity theory provides a comprehensive framework relating motives, goals, and operations. This paper ties these ideas together, using examples from work life in a Canadian High Arctic research station. The emphasis is on simulating human behavior as it naturally occurs, such that “working” is understood as an aspect of living. The result is a synthesis of previously unrelated analytic perspectives and a broader appreciation of the nature of human cognition. Simulating activities in this comprehensive way is useful for understanding work practice, promoting learning, and designing better tools, including human-robot systems

Empirical modelling principles to support learning in a cultural context

Much research on pedagogy stresses the need for a broad perspective on learning. Such a perspective might take account (for instance) of the experience that informs knowledge and understanding [Tur91], the situation in which the learning activity takes place [Lav88], and the influence of multiple intelligences [Gar83]. Educational technology appears to hold great promise in this connection. Computer-related technologies such as new media, the internet, virtual reality and brain-mediated communication afford access to a range of learning resources that grows ever wider in its scope and supports ever more sophisticated interactions. Whether educational technology is fulfilling its potential in broadening the horizons for learning activity is more controversial. Though some see the successful development of radically new educational resources as merely a matter of time, investment and engineering, there are also many critics of the trends in computer-based learning who see little evidence of the greater degree of human engagement to which new technologies aspire [Tal95]. This paper reviews the potential application to educational technology of principles and tools for computer-based modelling that have been developed under the auspices of the Empirical Modelling (EM) project at Warwick [EMweb]. This theme was first addressed at length in a previous paper [Bey97], and is here revisited in the light of new practical developments in EM both in respect of tools and of model-building that has been targetted at education at various levels. Our central thesis is that the problems of educational technology stem from the limitations of current conceptual frameworks and tool support for the essential cognitive model building activity, and that tackling these problems requires a radical shift in philosophical perspective on the nature and role of empirical knowledge that has significant practical implications. The paper is in two main sections. The first discusses the limitations of the classical computer science perspective where educational technology to support situated learning is concerned, and relates the learning activities that are most closely associated with a cultural context to the empiricist perspective on learning introduced in [Bey97]. The second outlines the principles of EM and describes and illustrates features of its practical application that are particularly well-suited to learning in a cultural setting

The Mechanics of Embodiment: A Dialogue on Embodiment and Computational Modeling

Embodied theories are increasingly challenging traditional views of cognition by arguing that conceptual representations that constitute our knowledge are grounded in sensory and motor experiences, and processed at this sensorimotor level, rather than being represented and processed abstractly in an amodal conceptual system. Given the established empirical foundation, and the relatively underspecified theories to date, many researchers are extremely interested in embodied cognition but are clamouring for more mechanistic implementations. What is needed at this stage is a push toward explicit computational models that implement sensory-motor grounding as intrinsic to cognitive processes. In this article, six authors from varying backgrounds and approaches address issues concerning the construction of embodied computational models, and illustrate what they view as the critical current and next steps toward mechanistic theories of embodiment. The first part has the form of a dialogue between two fictional characters: Ernest, the �experimenter�, and Mary, the �computational modeller�. The dialogue consists of an interactive sequence of questions, requests for clarification, challenges, and (tentative) answers, and touches the most important aspects of grounded theories that should inform computational modeling and, conversely, the impact that computational modeling could have on embodied theories. The second part of the article discusses the most important open challenges for embodied computational modelling

Conceptualising transition from education to work as vocational practice: lessons from the UK's creative and cultural sector

The paper argues that: (i) the demise of ‘occupational’ and ‘internal’ and the spread of ‘external’ labour markets in growth areas of UK economy such as the creative and cultural (C&C) sector, coupled with the massification of higher education which has created a new type of post-degree ‘vocational need’, means that the transition from education to work should be re-thought as the development of vocational practice rather than the acquisition of qualifications; and, (ii) in order to re-think transition as the development of vocational practice it is necessary to eviscerate the legacy of the ‘traditional’ conception of practice in UK educational policy. The paper reviews a number of alternative social scientific conceptions of practice, formulates more multi-faceted conceptions of vocational practice, and discusses their implications for UK and EU educational policy

Discovering Design Possibilities through a Pedagogy of Multiliteracies

Research and educational policies have alerted teachers to the importance of multiliteracies. Communication in society today is characterised by rapidly changing and emergent forms of meaning-making in a context of increased cultural and linguistic diversity. This paper responds to these imperatives, releasing key findings of a critical ethnography concerning interactions between pedagogy and access to multiliteracies among culturally and linguistically diverse learners. Data collection involved 18 days of lesson observations over 10 weeks using field and journal notes, continuous audiovisual and audio recording, and the collection of cultural artefacts. Semi-structured interviewing was also conducted with the teacher, principal, and four students. Data analytic tools included low and high inference coding and pragmatic horizon analysis. Findings concerned the use of overt instruction and situated practice in the teacher’s enactment of the multiliteracies pedagogy. This had a significant influence on the learners’ability to access claymation movie designing. Comparisons are made between the learning that occurred for students of the dominant, Anglo-Australian, middle-class culture, and for those who were not. The conclusion addresses relevant literature concerning how to apply the multiliteracies pedagogy to enable meaningful designing