Multidisciplinary students on Property core units : comparative analysis of introductory and advanced units

The composition of many professional services firms in the Urban Development area has moved away from a discipline specific ‘silo’ structure to a more multidisciplinary environment. The benefits of multidisciplinarity have been seen in industry by providing synergies across many of the related disciplines. Similarly, the Queensland University of Technology, Bachelor of Urban Development degree has sought to broaden the knowledge base of students and achieve a greater level of synergy between related urban development disciplines through the introduction of generic and multidisciplinary units. This study aims to evaluate the effectiveness of delivering core property units in a multidisciplinary context. A comparative analysis has been undertaken between core property units and more generic units offered in a multidisciplinary context from introductory, intermediate and advanced years within the property program. This analysis was based on data collected from course performance surveys, student performance results, a student focus group and was informed by a reflective process from the student perspective and lecturer/ tutor feedback. The study showed that there are many benefits associated with multidisciplinary unit offerings across the QUT Urban Development program particularly in the more generic units. However, these units require a greater degree of management. It is more difficult to organise, teach and coordinate multidisciplinary student cohorts due to a difference in prior knowledge and experience between each of the discipline groups. In addition, the interaction between lecturers/ tutors and the students frequently becomes more limited. A perception exists within the student body that this more limited face to face contact with academic staff is not valuable which may be exacerbated by the quality of complimentary online teaching materials. For many academics, non-attendance at lectures was coupled with an increase in email communication. From the limited data collected during the study there appears to be no clear correlation between large multidisciplinary student classes and student academic performance or satisfaction.

Biotribological assessment for artificial synovial joints : the role of boundary lubrication

Biotribology, the study of lubrication, wear and friction within the body, has become a topic of high importance in recent times as we continue to encounter debilitating diseases and trauma that destroy function of the joints. A highly successful surgical procedure to replace the joint with an artificial equivalent alleviates dysfunction and pain. However, the wear of the bearing surfaces in prosthetic joints is a significant clinical problem and more patients are surviving longer than the life expectancy of the joint replacement. Revision surgery is associated with increased morbidity and mortality and has a far less successful outcome than primary joint replacement. As such, it is essential to ensure that everything possible is done to limit the rate of revision surgery. Past experience indicates that the survival rate of the implant will be influenced by many parameters, of primary importance, the material properties of the implant, the composition of the synovial fluid and the method of lubrication. In prosthetic joints, effective boundary lubrication is known to take place. The interaction of the boundary lubricant and the bearing material is of utmost importance. The identity of the vital active ingredient within synovial fluid (SF) to which we owe the near frictionless performance of our articulating joints has been the quest of researchers for many years. Once identified, tribo tests can determine what materials and more importantly what surfaces this fraction of SF can function most optimally with. Surface-Active Phospholipids (SAPL) have been implicated as the body’s natural load bearing lubricant. Studies in this thesis are the first to fully characterise the adsorbed SAPL detected on the surface of retrieved prostheses and the first to verify the presence of SAPL on knee prostheses. Rinsings from the bearing surfaces of both hip and knee prostheses removed from revision operations were analysed using High Performance Liquid Chromatography (HPLC) to determine the presence and profile of SAPL. Several common prosthetic materials along with a novel biomaterial were investigated to determine their tribological interaction with various SAPLs. A pin-on-flat tribometer was used to make comparative friction measurements between the various tribo-pairs. A novel material, Pyrolytic Carbon (PyC) was screened as a potential candidate as a load bearing prosthetic material. Friction measurements were also performed on explanted prostheses. SAPL was detected on all retrieved implant bearing surfaces. As a result of the study eight different species of phosphatidylcholines were identified. The relative concentrations of each species were also determined indicating that the unsaturated species are dominant. Initial tribo tests employed a saturated phosphatidylcholine (SPC) and the subsequent tests adopted the addition of the newly identified major constituents of SAPL, unsaturated phosphatidylcholine (USPC), as the test lubricant. All tribo tests showed a dramatic reduction in friction when synthetic SAPL was used as the lubricant under boundary lubrication conditions. Some tribopairs showed more of an affinity to SAPL than others. PyC performed superior to the other prosthetic materials. Friction measurements with explanted prostheses verified the presence and performance of SAPL. SAPL, in particular phosphatidylcholine, plays an essential role in the lubrication of prosthetic joints. Of particular interest was the ability of SAPLs to reduce friction and ultimately wear of the bearing materials. The identification and knowledge of the lubricating constituents of SF is invaluable for not only the future development of artificial joints but also in developing effective cures for several disease processes where lubrication may play a role. The tribological interaction of the various tribo-pairs and SAPL is extremely favourable in the context of reducing friction at the bearing interface. PyC is highly recommended as a future candidate material for use in load bearing prosthetic joints considering its impressive tribological performance.

Providing innovative planning education experience : teaching regional planning in an international context

Rapidly changing economic, social, and environmental conditions have created a need for urban and regional planning practitioners who are resilient, innovative, and able to cope with the increasingly complex and cosmopolitan nature of major metropolitan areas. This need should be reflected in planning education that allows students to experience a diverse range of approaches to problems and challenges, and that exposes students to the diverse array of perspectives on planning issues. This paper investigates the outcomes of a collaborative regional planning exercise organised jointly by planning academics from both Queensland University of Technology and the International Islamic University of Malaysia, and involving planning students from both universities. The regional planning exercise consisted of a regional appraisal and report topics of the area under investigation, Klang Valley – Kuala Lumpur, Malaysia. It culminated with the presentation of regional development strategies for the area, with a field trip to Malaysia being the cornerstone of the project. The collaborative exercise involved a series of workshops and seminars organised locally, in which both Australian and Malaysian planning students participated, as well as meetings with local and federal planning officials, and also a forum for Young Planners of Australian and Malaysian Planning Institutes. The experience attempted to bridge the teaching of theoretical concepts of regional planning and development and the regional, more professional knowledge of planning practice, as it relates to specific political, institutional and cultural contexts. A survey of participating students, from both Queensland University of Technology and the International Islamic University of Malaysia, highlights the benefits of such project in terms of leaning experience and exposure to different cultural contexts.

The influence of national culture on communication practices : a case study on Malaysian organisation

National culture is deeply rooted in values, which are learned and acquired when we are young (2007, p. 6), and „embedded deeply in everyday life. (Newman & Nollen, 1996, p. 754). Values have helped to shape us into who we are today. In other words, as we grow older, the cultural values we have learned and adapted to will mould our daily practices. This is reflected in our actions, behaviours, and the ways in which we communicate. Based on the previous assertion, it can be suggested that national culture may also influence organisational culture, as our „behaviour at work is a continuation of behaviour learned earlier. (Hofstede, 1991, p. 4). Cultural influence in an organisation could be evidenced by looking at communication practices: how employees interact with one another as they communicate in their daily practices. Earlier studies in organisational communication see communication as the heart of an organisation in which it serves, and as „the essence of organised activity and the basic process out of which all other functions derive. (Bavelas and Barret, cited in Redding, 1985, p. 7). Hence, understanding how culture influences communication will help with understanding organisational behaviour. This study was conducted to look at how culture values, which are referred to as culture dimensions in this thesis, influenced communication practices in an organisation that was going through a change process. A single case study was held in a Malaysian organisation, to investigate how Malaysian culture dimensions of respect, collectivism, and harmony were evidenced in the communication practices. Data was collected from twelve semi-structured interviews and five observation sessions. Guided by six attributes identified in the literature, (1) acknowledging seniority, knowledge and experience, 2) saving face, 3) showing loyalty to organisation and leaders, 4) demonstrating cohesiveness among members, 5) prioritising group interests over personal interests, and 6) avoiding confrontations of Malaysian culture dimensions, this study found eighteen communication practices performed by employees of the organisation. This research contributes to the previous cultural work, especially in the Malaysian context, in which evidence of Malaysian culture dimensions of respect, collectivism, and harmony were displayed in communication practices: 1) acknowledging the status quo, 2) obeying orders and directions, 3) name dropping, 4) keeping silent, 5) avoiding questioning, 6) having separate conversations, 7) adding, not criticising, 8) sugar coating, 9) instilling a sense of belonging, 10) taking sides, 11) cooperating, 12) sacrificing personal interest, 13) protecting identity, 14) negotiating, 15) saying „yes. instead of „no., 16) giving politically correct answers, 17) apologising, and 18) tolerating errors. Insights from this finding will help us to understand the organisational challenges that rely on communication, such as during organisational change. Therefore, data findings will be relevant to practitioners to understand the impact of culture on communication practices across countries.

Year 8, 9 and 10 students’ understanding and access of percent knowledge

This paper reports on Years 8, 9 and 10 students’ knowledge of percent problem types, use of diagrams, and type of solution strategy. Non- and semi-proficient students displayed the expected inflexible formula approach to solution but proficient students used a flexible mixture of estimation, number sense and trial and error instead of expected schema based methods.

The experience of emotional expression in the context of social relations for people diagnosed with schizophrenia : a phenomenological explication

The experience of emotional expression in the context of social relations is not well understood for people diagnosed with schizophrenia. Early phenomenological research on the experience of people diagnosed with schizophrenia traditionally focussed on self experience in isolation from others, with later research explicating isolated aspects of self experience in relation to others. The current research aimed to focus on the progressive experience of emotional expression of people diagnosed with schizophrenia in relation to others over 12 months, in order to gain a broad spectrum of experience. This study involved unstructured interviews with 7 participants, an average of 4 times each, over a period of 12 months. Due to the unstructured nature of the interviews, a great breadth of experience was explicated. From the interviews there emerged 6 themes grouped together as a transition into, and 5 themes grouped together as a recovery from, symptoms associated with a diagnosis of schizophrenia. Special significance was given to the theme of relational confusion as an experience that provides an understanding of the relationship between social stressors and personal characteristics with responses that are associated with a diagnosis of schizophrenia. It was suggested that participants experienced themselves, including their distancing and isolating responses, as a part of a social system. The breadth of experiences that emerged afforded a framework of experiences within which prior phenomenological research findings on static moments of experience have been located. A more meaningful understanding of the transitioning into and recovery from the experiences associated with a diagnosis of schizophrenia will afford advances in mental health practice.

On importer trust and commitment : a comparative study of two developing countries

Purpose: Relationship trust and commitment are two key dimensions of international exchanges. Both have been extensively investigated from an exporter (as opposed to importer) perspective in developed country (as opposed to developing country) contexts. To address these gaps, this study aims to develop a model of antecedents and outcomes of importer trust and commitment in two developing countries.---------- Design/methodology: The authors test the proposed model using data from Chile and Bangladesh. Hypotheses were tested using structural equation modeling (SEM).---------- Findings: SEM analysis revealed that most of the hypotheses were supported in both the Bangladeshi and Chilean context. The findings of this study also suggest that the effects of importer transaction-specific investments on importer commitment are distinct in the Bangladeshi context. Practical implications: Practically, these results show that trust and commitment are essential for enhancing importer relationship performance in developing countries. Importer trust in a foreign supplier is effective when suppliers are competent and provide relatively superior facilities, as opposed to opportunistic proclivity. Importer commitment to a foreign supplier is stronger when importers perceive that the foreign supplier is not opportunistic, but is knowledgeable and experienced with the importer market, and they perceive that it is an advantage importing from that supplier. Cultural similarity between importers and foreign suppliers improves importer trust in both countries. However, importer commitment in Chile increases with importer transaction-specific investment, but this is not found to be the case in Bangladesh.---------- Originality/value: This study contributes to the importer-exporter exchange relationship literature by testing a model of antecedents and outcomes of importer trust and commitment. The tested model is one of few that considers developing country contexts and incorporates two novel antecedents of trust and commitment: importer knowledge and experience, and supplier resource competency.

Emergency department nurses' understanding and experiences of implementing discharge planning

Aim: This paper is a report of a study conducted to describe emergency department nurses' understanding and experiences of implementing discharge planning. ---------- Background: Discharge planning in the emergency department is an important issue because of increased healthcare costs and greater emphasis on continuity of care. When executed as a collaborative process involving a multi-disciplinary team with the patient and family, discharge planning provides continuity of care for patients, less demand on hospitals, improvement in community services and in the services of other healthcare organizations. ---------- Method: The qualitative approach of phenomenography was used in this study. Thirty-two emergency department nurses were recruited between July and September 2005. Semi-structured interviews were conducted. ---------- Findings: From interviewees' descriptions of implementing discharge planning, six categories were established: implementing discharge planning as 'getting rid of my patients', completing routines, being involved in patient education, professionally accountable practice, autonomous practice and demonstrating professional emergency department nursing care. The referential meaning of implementing discharge planning 'in the outcome space' was the professional commitment to emergency department provision of effective discharge services. ---------- Conclusion: The results of this research contribute to knowledge of emergency department nurses' experience in the implementation of the discharge planning process. Key requirements for the provision of manageable discharge services both in Taiwan and worldwide highlighted by this study include adequate workloads, sufficient time, clear policies and standards of discharge planning and enhancement of professional commitment.

Field and Service Robotics Results of the 5th International Conference

The 5th International Conference on Field and Service Robotics (FSR05) was held in Port Douglas, Australia, on 29th - 31st July 2005, and brought together the worlds' leading experts in field and service automation. The goal of the conference was to report and encourage the latest research and practical results towards the use of field and service robotics in the community with particular focus on proven technology. The conference provided a forum for researchers, professionals and robot manufacturers to exchange up-to-date technical knowledge and experience. Field robots are robots which operate in outdoor, complex, and dynamic environments. Service robots are those that work closely with humans, with particular applications involving indoor and structured environments. There are a wide range of topics presented in this issue on field and service robots including: Agricultural and Forestry Robotics, Mining and Exploration Robots, Robots for Construction, Security & Defence Robots, Cleaning Robots, Autonomous Underwater Vehicles and Autonomous Flying Robots. This meeting was the fifth in the series and brings FSR back to Australia where it was first held. FSR has been held every 2 years, starting with Canberra 1997, followed by Pittsburgh 1999, Helsinki 2001 and Lake Yamanaka 2003.

The development of science concepts emergent from science museum and post-visit activity experiences : students' construction of knowledge

This research investigated students' construction of knowledge about the topics of magnetism and electricity emergent from a visit to an interactive science centre and subsequent classroom-based activities linked to the science centre exhibits. The significance of this study is that it analyses critically an aspect of school visits to informal learning centres that has been neglected by researchers in the past, namely the influence of post-visit activities in the classroom on subsequent learning and knowledge construction. Employing an interpretive methodology, the study focused on three areas of endeavour. Firstly, the establishment of a set of principles for the development of post-visit activities, from a constructivist framework, to facilitate students' learning of science. Secondly, to describe and interpret students' scientific understandings : prior t o a visit t o a science museum; following a visit t o a science museum; and following post-visit activities that were related to their museum experiences. Finally, to describe and interpret the ways in which students constructed their understandings: prior to a visit to a science museum; following a visit to a science museum; and following post-visit activities directly related to their museum experiences. The study was designed and implemented in three stages: 1) identification and establishment of the principles for design and evaluation of post-visit activities; 2) a pilot study of specific post-visit activities and data gathering strategies related to student construction of knowledge; and 3) interpretation of students' construction of knowledge from a visit to a science museum and subsequent completion of post-visit activities, which constituted the main study. Twelve students were selected from a year 7 class to participate in the study. This study provides evidence that the series of post-visit activities, related to the museum experiences, resulted in students constructing and reconstructing their personal knowledge of science concepts and principles represented in the science museum exhibits, sometimes towards the accepted scientific understanding and sometimes in different and surprising ways. Findings demonstrate the interrelationships between learning that occurs at school, at home and in informal learning settings. The study also underscores for teachers and staff of science museums and similar centres the importance of planning pre- and post-visit activities, not only to support the development of scientific conceptions, but also to detect and respond to alternative conceptions that may be produced or strengthened during a visit to an informal learning centre. Consistent with contemporary views of constructivism, the study strongly supports the views that : 1) knowledge is uniquely structured by the individual; 2) the processes of knowledge construction are gradual, incremental, and assimilative in nature; 3) changes in conceptual understanding are can be interpreted in the light of prior knowledge and understanding; and 4) knowledge and understanding develop idiosyncratically, progressing and sometimes appearing to regress when compared with contemporary science. This study has implications for teachers, students, museum educators, and the science education community given the lack of research into the processes of knowledge construction in informal contexts and the roles that post-visit activities play in the overall process of learning.

Effectiveness of constructability concept in the provision of infrastructure assets

The concept of constructability is to use construction knowledge and experience during all phases of a project, particularly in the earliest phases of planning and design. It facilitates project objectives before delivery stage, and decreases unnecessary costs during construction phase. Despite the extensive use, constructability concept fails to address many issues related to Operation and Maintenance (O&M) of construction projects. Extending constructability concept, to include the O&M issues, could lead to the projects that are not fitted for construction purposes only, but also fitted for use. This study reviews the literature of constructability implementation, its benefits and shortcomings during the infrastructure life cycle, as well as the delivery success factors of infrastructure projects. This contributes to the propose need of a model to improve the effectiveness and efficiency of infrastructure project by extending the concept of constructability to include O&M. Development of such a model can facilitate post-occupancy stakeholders’ participation in a constructability program. It will help infrastructure owners eliminate project reworks, and improve O&M effectiveness and efficiency.

Reproduction, mediation, and experience : virtual reality, motion capture and early modern theatre

This article investigates virtual reality representations of performance in London’s late sixteenth-century Rose Theatre, a venue that, by means of current technology, can once again challenge perceptions of space, performance, and memory. The VR model of The Rose represents a virtual recreation of this venue in as much detail as possible and attempts to recover graphic demonstrations of the trace memories of the performance modes of the day. The VR model is based on accurate archeological and theatre historical records and is easy to navigate. The introduction of human figures onto The Rose’s stage via motion capture allows us to explore the relationships between space, actor and environment. The combination of venue and actors facilitates a new way of thinking about how the work of early modern playwrights can be stored and recalled. This virtual theatre is thus activated to intersect productively with contemporary studies in performance; as such, our paper provides a perspective on and embodiment of the relation between technology, memory and experience. It is, at its simplest, a useful archiving project for theatrical history, but it is directly relevant to contemporary performance practice as well. Further, it reflects upon how technology and ‘re-enactments’ of sorts mediate the way in which knowledge and experience are transferred, and even what may be considered ‘knowledge.’ Our work provides opportunities to begin addressing what such intermedial confrontations might produce for ‘remembering, experiencing, thinking and imagining.’ We contend that these confrontations will enhance live theatre performance rather than impeding or disrupting contemporary performance practice. Our ‘paper’ is in the form of a video which covers the intellectual contribution while also permitting a demonstration of the interventions we are discussing.

Student engagement with an ePortfolio : a case study of pre-service education students

The emergence of ePortfolios is relatively recent in the university sector as a way to engage students in their learning and assessment, and to produce records of their accomplishments. An ePortfolio is an online tool that students can utilise to record, catalogue, retrieve and present reflections and artefacts that support and demonstrate the development of graduate students’ capabilities and professional standards across university courses. The ePortfolio is therefore considered as both process and product. Although ePortfolios show promise as a useful tool and their uptake has grown, they are not yet a mainstream higher education technology. To date, the emphasis has been on investigating their potential to support the multiple purposes of learning, assessment and employability, but less is known about whether and how students engage with ePortfolios in the university setting. This thesis investigates student engagement with an ePortfolio in one university. As the educational designer for the ePortfolio project at the University, I was uniquely positioned as a researching professional to undertake an inquiry into whether students were engaging with the ePortfolio. The participants in this study were a cohort (defined by enrolment in a unit of study) of second and third year education students (n=105) enrolled in a four year Bachelor of Education degree. The students were introduced to the ePortfolio in an introductory lecture and a hands-on workshop in a computer laboratory. They were subsequently required to complete a compulsory assessment task – a critical reflection - using the ePortfolio. Following that, engagement with the ePortfolio was voluntary. A single case study approach arising from an interpretivist paradigm directed the methodological approach and research design for this study. The study investigated the participants’ own accounts of their experiences with the ePortfolio, including how and when they engaged with the ePortfolio and the factors that impacted on their engagement. Data collection methods consisted of an attitude survey, student interviews, document collection, a researcher reflective journal and researcher observations. The findings of the study show that, while the students were encouraged to use the ePortfolio as a learning and employability tool, most students ultimately chose to disengage after completing the assessment task. Only six of the forty-five students (13%) who completed the research survey had used the ePortfolio in a sustained manner. The data obtained from the students during this research has provided insight into reasons why they disengaged from the ePortfolio. The findings add to the understandings and descriptions of student engagement with technology, and more broadly, advance the understanding of ePortfolios. These findings also contribute to the interdisciplinary field of technology implementation. There are three key outcomes from this study, a model of student engagement with technology, a set of criteria for the design of an ePortfolio, and a set of recommendations for effective practice for those implementing ePortfolios. The first, the Model of Student Engagement with Technology (MSET) (Version 2) explored student engagement with technology by highlighting key engagement decision points for students The model was initially conceptualised by building on work of previous research (Version 1), however, following data analysis a new model emerged, MSET (Version 2). The engagement decision points were identified as: • Prior Knowledge and Experience, leading to imagined usefulness and imagined ease of use; • Initial Supported Engagement, leading to supported experience of usefulness and supported ease of use; • Initial Independent Engagement, leading to actual experience of independent usefulness and actual ease of use; and • Ongoing Independent Engagement, leading to ongoing experience of usefulness and ongoing ease of use. The Model of Student Engagement with Technology (MSET) goes beyond numerical figures of usage to demonstrate student engagement with an ePortfolio. The explanatory power of the model is based on the identification of the types of decisions that students make and when they make them during the engagement process. This model presents a greater depth of understanding student engagement than was previously available and has implications for the direction and timing of future implementation, and academic and student development activities. The second key outcome from this study is a set of criteria for the re-conceptualisation of the University ePortfolio. The knowledge gained from this research has resulted in a new set of design criteria that focus on the student actions of writing reflections and adding artefacts. The process of using the ePortfolio is reconceptualised in terms of privileging student learning over administrative compliance. The focus of the ePortfolio is that the writing of critical reflections is the key function, not the selection of capabilities. The third key outcome from this research consists of five recommendations for university practice that have arisen from this study. They are that, sustainable implementation is more often achieved through small steps building on one another; that a clear definition of the purpose of an ePortfolio is crucial for students and staff; that ePortfolio pedagogy should be the driving force not the technology; that the merit of the ePortfolio is fostered in students and staff; and finally, that supporting delayed task performance is crucial. Students do not adopt an ePortfolio just because it is provided. While students must accept responsibility for their own engagement with the ePortfolio, the institution has to accept responsibility for providing the environment, and technical and pedagogical support to foster engagement. Ultimately, an ePortfolio should be considered as a joint venture between student and institution where strong returns on investment can be realised by both. It is acknowledged that the current implementation strategies for the ePortfolio are just the beginning of a much longer process. The real rewards for students, academics and the university lie in the future.

Technology, memory and experience : virtual reality, motion capture and early modern theatre

This paper investigates virtual reality representations of performance in London’s late sixteenth-century Rose Theatre, a venue that, by means of current technology, can once again challenge perceptions of space, performance, and memory. The VR model of The Rose becomes a Camillo device in that it represents a virtual recreation of this venue in as much detail as possible and attempts to recover graphic demonstrations of the trace memories of the performance modes of the day. The VR model is based on accurate archeological and theatre historical records and is easy to navigate. The introduction of human figures onto The Rose’s stage via motion capture allows us to explore the relationships between space, actor and environment. The combination of venue and actors facilitates a new way of thinking about how the work of early modern playwrights can be stored and recalled. This virtual theatre is thus activated to intersect productively with contemporary studies in performance; as such, our paper provides a perspective on and embodiment of the relation between technology, memory and experience. It is, at its simplest, a useful archiving project for theatrical history, but it is directly relevant to contemporary performance practice as well. Further, it reflects upon how technology and ‘re-enactments’ of sorts mediate the way in which knowledge and experience are transferred, and even what may be considered ‘knowledge.’ Our work provides opportunities to begin addressing what such intermedial confrontations might produce for ‘remembering, experiencing, thinking and imagining.’ We contend that these confrontations will enhance live theatre performance rather than impeding or disrupting contemporary performance practice. This paper intersects with the CFP’s ‘Performing Memory’ and ‘Memory Lab’ themes. Our presentation (which includes a demonstration of the VR model and the motion capture it requires) takes the form of two closely linked papers that share a single abstract. The two papers will be given by two people, one of whom will be physically present in Utrecht, the other participating via Skype.

Towards a model for the analysis and description of mathematical knowledge and understanding

Mathematics education literature has called for an abandonment of ontological and epistemological ideologies that have often divided theory-based practice. Instead, a consilience of theories has been sought which would leverage the strengths of each learning theory and so positively impact upon contemporary educational practice. This research activity is based upon Popper’s notion of three knowledge worlds which differentiates the knowledge shared in a community from the personal knowledge of the individual, and Bereiter’s characterisation of understanding as the individual’s relationship to tool-like knowledge. Using these notions, a re-conceptualisation of knowledge and understanding and a subsequent re-consideration of learning theories are proposed as a way to address the challenge set by literature. Referred to as the alternative theoretical framework, the proposed theory accounts for the scaffolded transformation of each individual’s unique understanding, whilst acknowledging the existence of a body of domain knowledge shared amongst participants in a scientific community of practice. The alternative theoretical framework is embodied within an operational model that is accompanied by a visual nomenclature with which to describe consensually developed shared knowledge and personal understanding. This research activity has sought to iteratively evaluate this proposed theory through the practical application of the operational model and visual nomenclature to the domain of early-number counting, addition and subtraction. This domain of mathematical knowledge has been comprehensively analysed and described. Through this process, the viability of the proposed theory as a tool with which to discuss and thus improve the knowledge and understanding with the domain of mathematics has been validated. Putting of the proposed theory into practice has lead to the theory’s refinement and the subsequent achievement of a solid theoretical base for the future development of educational tools to support teaching and learning practice, including computer-mediated learning environments. Such future activity, using the proposed theory, will advance contemporary mathematics educational practice by bringing together the strengths of cognitivist, constructivist and post-constructivist learning theories.