Developing mathematics understanding and abstraction : the case of equivalence in the elementary years

Generalising arithmetic structures is seen as a key to developing algebraic understanding. Many adolescent students begin secondary school with a poor understanding of the structure of arithmetic. This paper presents a theory for a teaching/learning trajectory designed to build mathematical understanding and abstraction in the elementary school context. The particular focus is on the use of models and representations to construct an understanding of equivalence. The results of a longitudinal intervention study with five elementary schools, following 220 students as they progressed from Year 2 to Year 6, informed the development of this theory. Data were gathered from multiple sources including interviews, videos of classroom teaching, and pre-and post-tests. Data reduction resulted in the development of nine conjectures representing a growth in integration of models and representations. These conjectures formed the basis of the theory.

Knowing a donor and identifying as one : determinants of people's willingness for related and anonymous living donation in Australia

While LRD (living donation to a genetically/emotionally related recipient) is well established in Australia, LAD (living anonymous donation to a stranger) is rare. Given the increasing use of LAD overseas, Australia may likely follow suit. Understanding the determinants of people’s willingness for LAD is essential but infrequently studied in Australia. Consequently, we compared the determinants of people’s LRD and LAD willingness, and assessed whether these determinants differed according to type of living donation. We surveyed 487 health students about their LRD and LAD willingness, attitudes, identity, prior experience with blood and organ donation, deceased donation preference, and demographics. We used Structural Equation Modelling (SEM) to identify the determinants of willingness for LRD and LAD and paired sample t-tests to examine differences in LRD and LAD attitudes, identity, and willingness. Mean differences in willingness (LRD 5.93, LAD 3.92), attitudes (LRD 6.43, LAD 5.53), and identity (LRD 5.69, LAD 3.58) were statistically significant. Revised SEM models provided a good fit to the data (LRD: x2 (41) = 67.67, p = 0.005, CFI = 0.96, RMSEA = 0.04; LAD: x2 (40) = 79.64, p < 0.001, CFI = 0.95, RMSEA = 0.05) and explained 45% and 54% of the variation in LRD and LAD willingness, respectively. Four common determinants of LRD and LAD willingness emerged: identity, attitude, past blood donation, and knowing a deceased donor. Religious affiliation and deceased donation preference predicted LAD willingness also. Identifying similarities and differences in these determinants can inform future efforts aimed at understanding people’s LRD and LAD willingness and the evaluation of potential living donor motives. Notably, this study highlights the importance of people’s identification as a living donor as a motive underlying their willingness to donate their organs while living.

Adjusting building thermostats for environmental gains : understanding the issues

There has been increasing reliance on mechanical heating, ventilation and air-conditioning (HVAC) systems to achieve thermal comfort in office buildings. The use of universal standards for thermal comfort adopted in air-conditioned spaces often results in a large disparity between mean daily external summer temperatures and temperatures experienced indoors. The extensive overuse of air-conditioning in warm climates not only isolates us from the vagaries of the external environment, but is generally dependent on non-renewable energy. A pilot study conducted at the Queensland University of Technology (QUT) involved altering the thermostat set-points to two or three degrees above the normal summer setting in two air-conditioned buildings during the subtropical summer. This paper presents the findings of the research that led to the formulation of the test study. The findings of the test study are printed in the companion paper DES 72: Adjusting Building Thermastats for Environmental Gains – a Pilot Study.

The measurement of broadband ultrasonic attenuation in cancellous bone-a review of the science and technology

The measurement of broadband ultrasonic attenuation (BUA) in cancellous bone at the calcaneus was first described in 1984. The assessment of osteoporosis by BUA has recently been recognized by Universities UK, within its EurekaUK book, as being one of the “100 discoveries and developments in UK Universities that have changed the world” over the past 50 years, covering the whole academic spectrum from the arts and humanities to science and technology. Indeed, BUA technique has been clinically validated and is utilized worldwide, with at least seven commercial systems providing calcaneal BUA measurement. However, a fundamental understanding of the dependence of BUA upon the material and structural properties of cancellous bone is still lacking. This review aims to provide a science- and technology-orientated perspective on the application of BUA to the medical disease of osteoporosis.

Intercultural conversation : building understanding together

Classroom talk has long been recognised as central to student learning. Efforts are made therefore to 'stretch', 'extend' or 'push' English-language learners' (ELLS') linguistic and conceptual development by promoting more complex instructional talk. Conversation is a two-way activity, yet the focus is often directed to the ELL. To address this gap, this article suggests ideas for developing the capabilities of all students -- ELLS or otherwise -- for instructional conversations in mainstream classrooms where English is used by some as a first or only language, and by others as a second language.

Science education policy-making : eleven emerging issues

The Perth Declaration on Science and Technology Education of 2007 expresses strong concern about the state of science and technology education worldwide and calls on governments to respond to a number of suggestions for establishing the structural conditions for their improved practice. The quality of school education in science and technology has never before been of such critical importance to governments. There are three imperatives for its critical importance. The first relates to the traditional role of science in schooling, namely the identification, motivation and initial preparation of those students who will go on to further studies for careers in all those professional fi elds that directly involve science and technology. A suffi cient supply of these professionals is vital to the economy of all countries and to the health of their citizens. In the 21st century they are recognised everywhere as key players in ensuring that industrial and economic development occurs in a socially and environmentally sustainable way. In many countries this supply is now falling seriously short and urgently needs to be addressed. The second imperative is that sustainable technological development and many other possible societal applications of science require the support of scientifically and technologically informed citizens. Without the support and understanding of citizens, technological development can all too easily serve short term and sectional interests. The longer term progress of the whole society is overlooked, citizens will be confused about what should, and what should not be supported, and reactive and the environment will continue to be destroyed rather than sustained. Sustainable development, and the potential that science and technology increasingly offers, involves societies in ways that can often interact strongly, with traditional values, and hence, making decisions about them involve major moral decisions. All students need to be prepared through their science and technology education to be able to participate actively as persons and as responsible citizens in these essential and exciting possibilities. This goal is far from being generally achieved at present, but pathways to it are now more clearly understood. The third imperative derives from the changes that are resulting from the application of digital technologies that are the most rapid, the most widespread, and probably the most pervasive influence that science has ever had on human society. We all, wherever we live, are part of a global communication society. Information exchange and access to it that have been hitherto the realm of the few, are now literally in the hands of individuals. This is leading to profound changes in the World of Work and in what is known as the Knowledge Society. Schooling is now being challenged to contribute to the development in students of an active repertoire of generic and subject-based competencies. This contrasts very strongly with existing priorities, in subjects like the sciences that have seen the size of a student’s a store of established knowledge as the key measure of success. Science and technology education needs to be a key component in developing these competencies. When you add to these imperatives, the possibility that a more effective education in science and technology will enable more and more citizens to delight in, and feel a share in the great human enterprise we call Science, the case for new policy decisions is compellingly urgent. What follows are the recommendations (and some supplementary notes) for policy makers to consider about more operational aspects for improving science and technology education. They are listed under headings that point to the issues within each of these aspects. In the full document, a background is provided to each set of issues, including the commonly current state of science and technology education. Associated with each recommendation for consideration are the positive Prospects that could follow from such decision making, and the necessary Prerequisites, if such bold policy decisions are to fl ow, as intended, into practice in science and technology classrooms.

Listening, sharing understanding and facilitating consumer, family and community empowerment through a priority driven partnership in Far North Queensland

Objectives: This paper provides an example of a mental health research partnership underpinned by empowerment principles that seeks to foster strength among community organizations to support better outcomes for consumers, families and communities. It aims to raise awareness among researchers and service providers that empowerment approaches to assist communities to address mental health problems are not too difficult to be practical but require long-term commitment and appropriate support. Methods: A collaborative research strategy that has become known as the Priority Driven Research (PDR) Partnership emerged through literature review,consultations, Family Wellbeing Program delivery with community groups and activities in two discrete Indigenous communities. Progress to date on three of the four components of the strategy is described. Results: The following key needs were identified in a pilot study and are now being addressed in a research-based implementation phase: (i) gaining two-way understanding of perspectives on mental health and promoting universal awareness; (ii) supporting the empowerment of carers, families, consumers and at-risk groups through existing community organizations to gain greater understanding and control of their situation; (iii) developing pathways of care at the primary health centre level to enable support of social and emotional wellbeing as well as more integrated mental health care; (iv) accessing data to enable an ongoing process of analysis/sharing/planning and monitoring to inform future activity. Conclusion: One of the key learnings to emerge in this project so far is that empowerment through partnership becomes possible when there is a concerted effort to strengthen grassroots community organizations. These include social health teams and men’s and women’s groups that can engage local people in an action orientation. Key words: Aboriginal, empowerment, Indigenous, mental health.

Seeing is understanding : the effect of visualisation in understanding programming concepts

How and why visualisations support learning was the subject of this qualitative instrumental collective case study. Five computer programming languages (PHP, Visual Basic, Alice, GameMaker, and RoboLab) supporting differing degrees of visualisation were used as cases to explore the effectiveness of software visualisation to develop fundamental computer programming concepts (sequence, iteration, selection, and modularity). Cognitive theories of visual and auditory processing, cognitive load, and mental models provided a framework in which student cognitive development was tracked and measured by thirty-one 15-17 year old students drawn from a Queensland metropolitan secondary private girls’ school, as active participants in the research. Seventeen findings in three sections increase our understanding of the effects of visualisation on the learning process. The study extended the use of mental model theory to track the learning process, and demonstrated application of student research based metacognitive analysis on individual and peer cognitive development as a means to support research and as an approach to teaching. The findings also forward an explanation for failures in previous software visualisation studies, in particular the study has demonstrated that for the cases examined, where complex concepts are being developed, the mixing of auditory (or text) and visual elements can result in excessive cognitive load and impede learning. This finding provides a framework for selecting the most appropriate instructional programming language based on the cognitive complexity of the concepts under study.

Spaces of care in the third sector : Understanding the effects of professionalization

Increasingly the health and welfare needs of individuals and communities are being met by third sector, or not-for-profit, organizations. Since the 1980s third sector organizations have been subject to significant, sector-wide changes, such as the development of contractual funding and an increasing need to collaborate with governments and other sectors. In particular, the processes of ‘professionalization’ and ‘bureaucratization’ have received significant attention and are now well documented in third sector literature. These processes are often understood to create barriers between organizations and their community groups and neutralize alternative forms of service provision. In this article we provide a case study of an Australian third sector organization undergoing professionalization. The case study draws on ethnographic and qualitative interviews with staff and volunteers at a health-based third sector organization involved in service provision to marginalized community groups. We examine how professionalization alters organizational spaces and dynamics and conclude that professionalized third sector spaces may still be ‘community’ spaces where individuals may give and receive care and services. Moreover, we suggest that these community spaces hold potential for resisting the neutralizing effects of contracting.

A phenomenological explication of dream interpretation among rural and urban Nguni people

Psychologists investigating dreams in non-Western cultures have generally not considered the meanings of dreams within the unique meaning-structure of the person in his or her societal context. The majority of dream studies in African societies are no exception. Researchers approaching dreams within rural Xhosa and Zulu speaking societies have either adopted an anthropological or a psychodynamic orientation. The latter approach particularly imposes a Western perspective in the interpretation of dream material. There have been no comparable studies of dream interpretation among urban blacks participating in the African Independent Church Movement. The present study focuses on the rural Xhosa speaking people and the urban black population who speak one of the Nguni languages and identify with the African Independent Church Movement. The study is concerned with understanding the meanings of dreams within the cultural context in which they occur. The specific aims of the study are: 1. To explicate the indigenous system of dream interpretation as revealed by acknowledged dream experts. 2. To examine the commonalities and the differences between the interpretation of dreams in two groups, drawn from a rural and urban setting respectively. 3. To elaborate upon the life-world of the participants by the interpretations gained from the above investigation. One hundred dreams and interpretations are collected from two categories of participants referred to as the Rural Group and the Urban Group. The Rural Group is made up of amagqira [traditional healers] and their clients, while the Urban Group consists of prophets and members of the African Independent Churches. Each group includes acknowledged dream experts. A phenomenological methodology is adopted in explicating the data. The methodological precedure involves a number of rigorous stages of expl ication whereby the original data is reduced to Constituent Profiles leading to the construction of a Thematic Index File. By searching and reflect ing upon the data, interpretative themes are identified. These themes are explicated to provide a rigorous description of the interpretative-reality of each group. Themes explicated w i thin the Rural Group are: the physiognomy of the dreamer's life-world as revealed by ithongo, the interpretation of ithongo as revealed through action, the dream relationship as an anticipatory mode-of-existence, iphupha as disclosing a vulnerable mode-of-being, human bodiliness as revealed in dream interpretations and the legitimation of the interpretative-reality within the life-world. Themes explicated within the Urban Group are: the phys iognomy of the dreamer's life-world revealed in their dream-existence, the interpretative-reality revealed through the enaction of dreams, tension between the newer Christian-based cosomology and the traditional cultural-based cosmology, a moral imperative, prophetic perception and human bodiliness, as revealed in dream interpretations and the legitimation of the interpretative-reality within the life-world. The essence of the interpretative-reality of both groups is very similar and is expressed in the notion of relatedness to a cosmic mode-of-being. The cosmic mode-of-being includes a numinous dimension which is expressed through divine presence in the form of ancestors, Holy Spirit or God. These notions cannot be apprehended by theoretical constructs alone but may be grasped and given form in meaning-disclosing intuitions which are expressed in the lifeworld in terms of bodiliness, revelatory knowledge, action and healing. Some differences b e tween the two groups are evident and reveal some conflict between the monotheistic Christian cosmology and the traditional cosmology. Unique aspects of the interpetative-reality of the Urban Group are expressed in terms of difficulties in the urban social environment and the notion of a moral imperative. It is observed that cul tural self-expression based upon traditional ideas continues to play a significant role in the urban environment. The apparent conflict revealed between the respective cosmologies underlies an integration of the aditional meanings with Christian concepts. This finding is consistent with the literature suggesting that the African Independent Church is a syncretic movement. The life-world is based upon the immediate and vivid experience of the numinous as revealed in the dream phenomenon. The participants' approach to dreams is not based upon an explicit theory, but upon an immediate and pathic understanding of the dream phenomenon. The understanding is based upon the interpreter's concrete understanding of the life-world, which includes the possibility of cosmic integration and continuity between the personal and transpersonal realms of being. The approach is characterized as an expression of man's primordial attunement with the cosmos. The approach of the participants to dreams may not b e consistent with a Western rational orientation, but neverthele ss, it is a valid approach . The validity is based upon the immediate life-world of experience which is intelligible, coherent, and above all, it is meaning-giving in revealing life-possibility within the context of human existence.

Nonlinear pedagogy : implications for teaching games for understanding (TGfU)

Nonlinear Dynamics, provides a framework for understanding how teaching and learning processes function in Teaching Games for Understanding (TGfU). In Nonlinear Pedagogy, emergent movement behaviors in learners arise as a consequence of intrinsic self-adjusted processes shaped by interacting constraints in the learning environment. In a TGfU setting, representative, conditioned games provide ideal opportunities for pedagogists to manipulate key constraints so that self-adjusted processes by players lead to emergent behaviors as they explore functional movement solutions. The implication is that, during skill learning, functional movement variability is necessary as players explore different motor patterns for effective skill execution in the context of the game. Learning progressions in TGfU take into account learners’ development through learning stages and have important implications for organisation of practices, instructions and feedback. A practical application of Nonlinear Pedagogy in a national sports institute is shared to exemplify its relevance for TGfU practitioners.

Clypeotheca, a new skeletal structure in scleractinian corals : a potential stress indicator

Physiological responses to environmental stress are increasingly well studied in scleractinian corals. This work reports a new stress-related skeletal structure we term clypeotheca. Clypeotheca was observed in several livecollected common reef-building coral genera and a two to three kya subfossil specimen from Heron Reef, Great Barrier Reef and consists of an epitheca-like skeletal wall that seals over the surface of parts of the corallum in areas of stress or damage. It appears to form from a coordinated process wherein neighboring polyps and adjoining coenosarc seal themselves off from the surrounding environment as they contract and die. Clypeotheca forms from inward skeletal centripetal growth at the edges of corallites and by the merging of flange-like outgrowths that surround individual spines over the surface of the coenosteum. Microstructurally, the merged flanges are similar to upsidedown dissepiments and true epitheca. Clypeotheca is interpreted primarily as a response to stress that may help protect the colony from invasion of unhealthy tissues by parasites or disease by retracting tissues in areas that have become unhealthy for the polyps. Identification of skeletal responses of corals to environmental stress may enable the frequency of certain types of environmental stress to be documented in past environments. Such data may be important for understanding the nature of reef dynamics through intervals of climate change and for monitoring the effects of possible anthropogenic stress in modern coral reef habitats.

Action research for contexts of change and inequality

Undoubtedly, the past half-century has witnessed an escalation of changes in the social, political, economic and educational structures in many societies around the world. Some have seen change as a challenge and hope while, for many others, it is a source of concern and worry. Some have adopted change with gusto, while for many it is something to be resisted. Some say we live in a world and times with an increasing awareness that “times are changing”, while for some “the more things change, the more they stay the same”.