Problematising the mathematics curriculum : some examples from Australia and Japan

Problem solving is often seen as being the core of mathematics. While there are many examples of teaching for and about problem solving, there are relatively few examples of teaching mathematical content through problem solving. This paper uses data from three, apparently quite different, mathematics lessons from Australia and Japan to explore different ways in which mathematics can be taught successfully through problem solving and to analyse some of the characteristics of such lessons. It also attempts to identify some of the supports and constraints for adopting a problem solving approach to the teaching of mathematics that exist in the quite different contexts of Japan and Australia.

A study of the concurrent execution of parallel and sequential applications on a non-dedicated cluster

Computers of a non-dedicated cluster are often idle (users attend meetings, have lunch or coffee breaks) or lightly loaded (users carry out simple computations to support problem solving activities). These underutilised computers can be employed to execute parallel applications. Thus, these computers can be shared by parallel and sequential applications, which could lead to the improvement of their execution performance. However, there is a lack of experimental study showing the applications’ performance and the system utilization of executing parallel and sequential applications concurrently and concurrent execution of multiple parallel applications on a non-dedicated cluster. Here we present the result of an experimental study into load balancing based scheduling of mixtures of NAS Parallel Benchmarks and BYTE sequential applications on a very low cost non-dedicated cluster. This study showed that the proposed sharing provided performance boost as compared to the execution of the parallel load in isolation on a reduced number of computers and better cluster utilization. The results of this research were used not only to validate other researchers’ result generated by simulation but also to support our research mission of widening the use of non-dedicated clusters. Our promising results obtained could promote further research studies to convince universities, business and industry, which require a large amount of computing resources, to run parallel applications on their already owned non-dedicated clusters.

Investigating children's languge in technology education

When undertaking design and technology activities, children are provided with opportunities to create solutions to problems in new and innovative ways. There have been few studies which have looked closely at how primary aged children undertake technology activities and even fewer that have investigated children's language when undertaking a technology task. This paper reports on a research project that focused on children's thinking and also the language that the children used when they were involved in a design and technology activity. The findings suggest that there were several key ideas that the children focused on: the fun of the activity, the satisfaction of completing the task, the difficulty of problem solving and the interest in creating something 'new'.

Group composition : influences of optimism and lack thereof

Lesson video and video-stimulated post-lesson interviews were used to study the role of optimism in collaborative problem solving in a Grade 5/6 classroom for the purpose of informing group composition. This study focuses on the activity of two students who differed on the personal characteristic 'optimistic orientation'. It examines how the presence or absence of an optimistic orientation to failures (Seligman, 1995) contributed to these students' interactions with their groups and opportunities for collaborative creation of new knowledge. One group collaborated to develop mathematical knowledge that was new to each group member and the other group did not. These findings raise questions about how to group students who are not yet optimistic to enable collaborative activity, and how to build optimism.

Interaction perspectives of individuals and destination marketing organizations in the tourism network of Australia

This paper seeks to assess the nature, perspectives and characteristics of interactions in the tourism network in Australia. The pattern of interactions between network participants is crucial in defining the network and its boundaries. Ford and Hakansson (2007) develop a structure of interactions between participants in a network. Time dimensions of the interactions are sequence, ordering and trajectory. Relativity dimensions are jointness, interdependence and heterogeneity. Interaction can be problem solving both incurring costs and producing benefits.
There are two stages of this research. The first stage obtained the perspectives from 35 organizations regarding the challenges facing tourism, key growth segments, brand and promotional strategies and customer insights and satisfaction levels. The second stage of this research uses follow up personal interviews and assesses the interaction patterns among network participants. The sequence, ordering and trajectory of the interactions are examined as are the jointness, interdependence and heterogeneity of the interactions. A network map is produced based on the frequency and importance of the communications and interactions. The research will also address key questions identified by Johnston, Peters and Gassenheimer (2006). Is the network characterized by tighter or looser coupling? How important is collaboration to the survival (or success) of each participant?

Changes in quality of life and coping among people with multiple sclerosis over a 2 year period

There is a need to investigate the impact of different coping strategies on quality of life (QOL) of people with multiple sclerosis (MS), in order to better inform intervention programs for this population. This study evaluated the relationship between QOL and coping over a 2 year period among people with MS. Participants were 382 people with MS (144 male, 238 females) and 291 people without a neurological or other chronic illness from the general population (101 males, 190 females). People with MS experienced lower QOL than the control group in the domains of global QOL, independence, social and spiritual QOL scales, as well as the problem solving and social/emotional support coping scales. Interestingly, people with MS experienced higher psychological QOL than the general population, and higher detachment and focusing on the positive coping. Over time, people with MS demonstrated increases in their global QOL as well as in their social/emotional support coping. Women demonstrated higher levels than men of global QOL and Social/emotional support coping. The results of these findings have implications for information and intervention programs for people with MS.

Developing student transferable skills through reflective porfolios

The development of transferable skills in students, ie those relevant to any future employment, is a common goal of degree programmes. Reflection is a mechanism frequently used in the training of medical and teaching professionals to develop self-awareness of personal skills levels that enable participants to become self-reflective practitioners. The intention in this research was to trial reflection for construction management and architecture students through a series of interventions to engage students in the explicit development of transferable skills and self-awareness. Students were required to keep a ‘diary’ or journal under specific skills headings: communication (involving active listening, conflict resolution, negotiation), team building, problem solving, report writing and presentation skills based on their experiences at university, work and in social situations. A range of learning resources were made available to assist students. The journals were analysed according to a recognised coding for the depth of their reflection . At the end of the semester, students were required to “apply” for a job description that required explication of the knowledge and skills that were intended to be further developed during the unit. In practice, few students appreciated the journaling and some were even hostile to the process, but all students demonstrated good appreciation of their abilities and skills in the job application – essentially a mechanism that required reflection. In conclusion, explicit reflection through journaling is not a universally popular practice, but tasks that appear to have some foundation in practicality that require reflection are more likely to be appreciated. Students depth of reflection was found to improve through practice.

Beating the blues after cancer : randomised control trial of a tele-based psychological intervention for high distress patients and carers

Background : The diagnosis and treatment of cancer is a major life stress such that approximately 35% of patients experience persistent clinically significant distress and carers often experience even higher distress than patients. This paper presents the design of a two arm randomised controlled trial with patients and carers who have elevated psychological distress comparing minimal contact self management vs. an individualised tele-based cognitive behavioural intervention.

Methods/design : 140 patients and 140 carers per condition (560 participants in total) will been recruited after being identified as high distress through caller screening at two community-based cancer helplines and randomised to 1) a single 30-minute telephone support and education session with a nurse counsellor with self management materials 2) a tele-based psychologist delivered five session individualised cognitive behavioural intervention. Session components will include stress reduction, problem-solving, cognitive challenging and enhancing relationship support and will be delivered weekly. Participants will be assessed at baseline and 3, 6 and 12 months after recruitment. Outcome measures include: anxiety and depression, cancer specific distress, unmet psychological supportive care needs, positive adjustment, overall Quality of life.

Discussion : The study will provide recommendations about the efficacy and potential economic value of minimal contact self management vs. tele-based psychologist delivered cognitive behavioural intervention to facilitate better psychosocial adjustment and mental health for people with cancer and their carers.

Phenomenological inquiry into the experience of web project managers

The advent of the Internet and the World Wide Web has been instrumental in bringing about the growth in the implementation of web-based information systems (WBIS). Such systems are designed with the aim of improving productivity, data accuracy, and the reduction of paperwork and administrative overheads. Moreover, unlike their conventional non-web-based predecessors, the WBIS are commonly aimed at users who are casual and untrained, geographically distributed and non-homogenous. The dissemination of WBIS necessitates additional infrastructure support in the form of a security system, workflow and transaction management, and web administration. WBIS are commonly developed using an evolutionary approach, whereby the version of the application, acquired from the vendor, is first deployed as a pilot, in order to gather feedback from the target users before the evolutionary cycles commence. While a number of web development methodologies have been proposed by existing research, there is a dearth of empirical evidence that elucidates the experiences of project initiators in pursuing the evolution of web services, a process that undoubtedly involves dealing with stakeholder issues. This research project presents a phenomenological investigation of the experiences of project managers with the implementation of web-based employee service systems (ESS), a domain that has witnessed a sharp growth in Australia in recent times. However, the project managers’ rich, multidimensional account of their experiences with the implementation of ESS revealed the social obstacles and fragility of intra-organizational relationships that demanded a cautious and tactful approach. Thus, the study provides a socio-organizational perspective to web projects in contrast to the functionalist paradigm of current web development methodologies. The research also confirms that consideration of the concerns of stakeholders by project managers is crucial to the successive cycles of ESS evolution. Project managers address stakeholder concerns by pursuing actions that are aimed at encouraging ESS usage, but at the same time, such actions can have consequences necessitating subsequent iterations of system enhancement and improvement. Finally, the research also discovered that despite the different socio-political climate prevalent in various organizations, in which ESS are being implemented, the experiences of project managers in dealing with stakeholder concerns can be captured and independently confirmed in terms of their perceived relevance and usefulness in problem-solving within the application domain.

Investigation into the skill levels achieved by mathematics students in the V.C.E. and the H.S.C. mathematics courses

This study examines whether recent changes to the mathematics courses offered in the final year of secondary school (Year 12) in the state of Victoria, Australia have affected the learning outcomes of students in terms of then: skill levels in algebra, calculus and problem solving; and in terms of their preparation for a tertiary mathematics unit. The impact of these changes on the transition from secondary to tertiary mathematics is also considered. A comparison is made between students who attempted a first year mathematics unit at the University of Melbourne (U. of M.) having completed the new V.C.E. (Victorian Certificate of Education) mathematics courses and mathematics courses from the previous H.S.C. (Higher School Certificate) system. The comparison involves the use of tests administered upon entrance to a tertiary mathematics unit at the U. of M., and questionnaires. In 1991, V.C.E, students and H.S.C. students attempted the same mathematics test at the U. of M. and their results were compared. In 1992, the tests were attempted by V.C.E. students only. To compare new V.C.E. students and H.S.C. students, questions on the 1991 test were matched with similar questions on the 1992 tests and a panel of experts determined what the H.S.C. students who attempted the 1991 test would have been expected to average on these matched questions on the 1992 tests had they attempted them. These expected average scores were then compared with the actual scores of the new V.C.E. students. The scores of the groups were scaled when necessary. Questionnaires were administered to 1991 U. of M, mathematics students who were part of the V.C.E. pilot group in 1990, secondary mathematics educators, tertiary mathematics educators, and 1991 V.C.E. (1992 U. of M.) students. The mathematical misconceptions exhibited by new V.C.E. students are discussed and their frequencies stated. The research indicates that the new V.C.E. mathematics courses have provided the V.C.E. mathematics students in this study with significantly lower skill levels and a significantly poorer preparation for a tertiary mathematics unit than those which were previously provided by the H.S.C. mathematics courses.

Hypothesis generation for management intelligence

Investigation of the role of hypothesis formation in complex (business) problem solving has resulted in a new approach to hypothesis generation. A prototypical hypothesis generation paradigm for management intelligence has been developed, reflecting a widespread need to support management in such areas as fraud detection and intelligent decision analysis. This dissertation presents this new paradigm and its application to goal directed problem solving methodologies, including case based reasoning. The hypothesis generation model, which is supported by a dynamic hypothesis space, consists of three components, namely, Anomaly Detection, Abductive Reasoning, and Conflict Resolution models. Anomaly detection activates the hypothesis generation model by scanning anomalous data and relations in its working environment. The respective heuristics are activated by initial indications of anomalous behaviour based on evidence from historical patterns, linkages with other cases, inconsistencies, etc. Abductive reasoning, as implemented in this paradigm, is based on joining conceptual graphs, and provides an inference process that can incorporate a new observation into a world model by determining what assumptions should be added to the world, so that it can explain new observations. Abductive inference is a weak mechanism for generating explanation and hypothesis. Although a practical conclusion cannot be guaranteed, the cues provided by the inference are very beneficial. Conflict resolution is crucial for the evaluation of explanations, especially those generated by a weak (abduction) mechanism.The measurements developed in this research for explanation and hypothesis provide an indirect way of estimating the ‘quality’ of an explanation for given evidence. Such methods are realistic for complex domains such as fraud detection, where the prevailing hypothesis may not always be relevant to the new evidence. In order to survive in rapidly changing environments, it is necessary to bridge the gap that exists between the system’s view of the world and reality.Our research has demonstrated the value of Case-Based Interaction, which utilises an hypothesis structure for the representation of relevant planning and strategic knowledge. Under, the guidance of case based interaction, users are active agents empowered by system knowledge, and the system acquires its auxiliary information/knowledge from this external source. Case studies using the new paradigm and drawn from the insurance industry have attracted wide interest. A prototypical system of fraud detection for motor vehicle insurance based on an hypothesis guided problem solving mechanism is now under commercial development. The initial feedback from claims managers is promising.

Process analysis of the solution strategies used for problems contained in the Minnesota Paper Board Form Board test

This thesis reviews progress toward an understanding of the processes involved in the solution of spatial problems. Previous work employing factor analysis and information processing analysis is reviewed and the emphasis on variations in speed and accuracy as the major contributers to individual differences is noted. It is argued that the strategy used by individuals is a preferable explanatory concept for identifying the cognitive substratum necessary for problem solving. Using the protocols obtained from subjects solving The Minnesota Paper Form Board (Revised), a test commonly regarded as measuring skill in spatial visualization, a number of different strategies are isolated. Assumptions as to the task variants which undergird these strategies are made and tested experimentally. The results suggest that task variants such as the size of the stimulus and the shape of the pieces interact with subject variables to produce the operating strategy. Skill in problem solving is revealed in the ability to structure the array, to hold a structured image and to reduce the number of answers requiring intensive processing. The interaction between task and subject variables results in appropriate or inappropriate strategies which in turn affect speed and accuracy. Results suggest that strategy formation and usage are the keys to explaining individual differences and an heuristic model is presented to explain the performance of individual subjects on the problems involved in the Minnesota Paper Form Board. The model can be used to predict performance on other tests; and as an aid to teaching subjects experiencing difficulties. The model presented incorporates strategy variation and is consequently mores complex than previously suggested models. It is argued that such complexity is necessary to explain the nature of a subject's performance and is also necessary to perform diagnostic evaluation. Certain structural -features of the Minnesota Paper Form Board are questioned and suggestions for improvement included. The essential explanatory function of the strategy in use makes the prevalent group administration approach suspect in the prediction of future performance in spatial or vocational activity.

Investigation into the diffusion of innovation in technical and further education : implementing e-mail through action research

This research project examined the diffusion of change within one Victorian TAFE Institute by engaging action research to facilitate implementation of e-mail technology. The theoretical framework involving the concepts of technology innovation and action research was enhanced with the aid of Rogers's (1983) model of the diffusion of the innovation process. Political and cultural factors made up the initiation phase of innovation, enabling the research to concentrate on the implementation phase of e-mail Roger's (1983) model also provided adopter categories that related to the findings of a Computer Attitude Survey that was conducted at The School of Mines and Industries Ballarat (SMB), now the University of Ballarat—TAFE Division since amalgamation on 1st January 1998. Despite management rhetoric about the need to utilise e-mail, Institute teaching staff lacked individual computers in their work areas and most were waiting to become connected to the Internet as late as 1997. According to the action research reports, many staff were resistant to the new e-mail facilities despite having access to personal computers whose numbers doubled annually. The action research project became focussed when action researchers realised that e-mail workshop training was ineffective and that staff required improved access. Improvement to processes within education through collaborative action research had earlier been achieved (McTaggart 1994), and this project actively engaged practitioners to facilitate decentralised e-mail training in the workplace through the action research spiral of planning, acting, observing and reflecting, before replanning. The action researchers * task was to find ways to improve the diffusion of e-mail throughout the Institute and to develop theoretical constructs. My research task was to determine whether action research could successfully facilitate e-mail throughout the Institute. A rich literature existed about technology use in education, technology teaching, gender issues, less about computerphobia, and none about 'e-mailphobia \ It seemed appropriate to pursue the issue of e-mailphobia since it was marginalised, or ignored in the literature. The major political and cultural influences on the technologising of SMB and e-mail introduction were complex, making it impossible to ascertain the relative degrees of influence held by Federal and State Governments, SMB's leadership or the local community, Nonetheless, with the implementation of e-mail, traditional ways were challenged as SMB's culture changed. E-mail training was identified as a staff professional development activity that had been largely unsuccessful. Action research is critical collaborative inquiry by reflective practitioners who are accountable for making the results of their inquiry public and who are self-evaluating of their practice while engaging participative problem-solving and continuing professional development (Zuber-Skerritt 1992, 1993). Action research was the methodology employed in researching e-mail implementation into SMB because it involved collaborative inquiry with colleagues as reflective practitioners. Thoughtful questions could best be explored using deconstructivist philosophy, in asking about the noise of silence, which issues were not addressed, what were the contradictions and who was being marginalised with e-mail usage within SMB. Reviewing literature on action research was complicated by its broad definition and by the variability of research (King & Lonnquist 1992), and yet action research as a research methodology was well represented in educational research literature, and provided a systematic and recognisable way for practitioners to conduct their research. On the basis of this study, it could be stated that action research facilitated the diffusion of e-mail technology into one TAFE Institute, despite the process being disappointingly slow. While the process in establishing the action research group was problematic, action researchers showed that a window of opportunity existed for decentralised diffusion of e-mail training,in preference to bureaucratically motivated 'workshops. Eight major findings, grouped under two broad headings were identified: the process of diffusion (planning, nature of the process, culture, politics) and outcomes of diffusion (categorising, e-mailphobia, the survey device and technology in education). The findings indicated that staff had little experience with e-mail and appeared not to recognise its benefits. While 54.1% did not agree that electronic means could be the preferred way to receive Institute memost some 13.7% admitted to problems with using the voice answering service on telephones. Some 43.3% thought e-mail would not improve their connectedness (how they related) to the Institute. A small percentage of staff had trouble with telephone voice-mail and a number of these were anxious computer users. Individualised tuition and peer support proved helpful to individual staff whom action researchers believed to be 'at risk', as determined from the results of a Computer Attitude Survey. An instructional strategy that fostered the development of self-regulation and peer support was valuable, but there was no measure of the effects of this action research program, other than in qualitative terms. Nevertheless, action research gave space to reflect on the nature of the underlying processes in adopting e-mail. Challenges faced by TAFE action researchers are integrally affected by the values within TAFE, which change constantly and have recently been extensive enough to be considered as a 'new paradigm'. The influence of competition policy, the training reform agenda and technologisation of training have challenged traditional TAFE values. Action research reported that many staff had little immediate professional reason to use e-mail Theoretical answers were submerged beneath practical professional concerns, which related back to how much time teachers had and whether they could benefit from e-mail. A need for the development of principles for the sound educational uses of e-mail increases with the internationalisation of education and an increasing awareness of cultural differences. The implications for conducting action research in TAFE are addressed under the two broad issues of power and pedagogy. Issues of power included gaining access, management's inability to overcome staff resistance to technology, changing TAFE values and using technology for conducting action research. Pedagogical issues included the recognition of educational above technological issues and training staff in action research. Finally, seventeen steps are suggested to overcome power and pedagogical impediments to the conduct of action research within TAFE. This action research project has provided greater insight into the difficulties of successfully introducing one culture-specific technology into one TAFE Institute. TAFE Institutes need to encourage more action research into their operations, and it is only then that -we can expect to answer the unanswered questions raised in this research project.

Investigation into the interactive multimedia production processes of novice multimedia designer /producers in a constructivist environment

The main purpose of this study was to investigate the instructional interactive multimedia (IMI) production processes of adult novice multimedia production course. The study aimed at discovering whether a constructivistic teacher-learning environment facilitated these multimedia novice designer / producers to further develop metacognitivestates of higher-order thinking like schema formation, problem-solving and cognitive construction when producing their interactive multimedia project. To achieve this study examined the facilitative and limiting activities in planning, design and development that have assisted or hindered the NMDPs during their multimedia production work This research utilises a qualitative paradigm and makes extensive use of multiple data sources such as the participants’ proposals, planning aids, logs and final projects for single as well as cross-case analyses and discussion. Three cases were selected for in-depth analysis in the study because they provided interviews and more complete documentation and "thick descriptions" of their multimedia production activities. Findings about the NMDPs multimedia production endeavours showed that they learnt best about multimedia technology for teacing and learning by producing an interactive multimedia project themselves. Factors that enabled some of the NMDPs to flourish in a constructivistic environment included their ability to utilise their new and extended schemata to problem solve, their self regulation and a creative and positive attitude to demanding multimedia work NMDPs who utilised facilitative planning aids and design strategies produced impressive work. The study further indicates that the NMDPs’ holistic multimedia production experience made them aware of the levels of complexity involved and boosted their confidence about multimedia production for educational purposes. Suggestions for further research include examining the production styles of adult multimedia novices and young novices and investigating the implications of designing multimedia for large audience presentation rather than for single or small group learner usage.

Factors affecting success in undergraduate computer programming

The aim of the research is to investigate factors that may explain success in elementary computer programming at the tertiary level. The first phase of the research included the identification of possible explanatory factors through a literature review, a survey of students studying introductory computing, a focus-group session with teachers of computer programming and interviews with programming students. The second phase of the research that was called the main study, involved testing the identified factors. Two different groups of programming students - one group majoring in business computing and another majoring in computer science - completed a survey questionnaire. The findings of the research are as follows. Gender is of little significance for business students but there is an adverse gender penalty for females in computer science. Secondary school assessment is inversely related to outcomes in business computing but directly influences outcomes in the first programming unit in the computer science course. As in prior research, previous knowledge and experience were demonstrated to matter, A range of other variables was found to be of little importance. The research suggests that different problem-solving techniques might be relevant in business compared with those of use in computer science.