Bridging STEM in a real-world problem

Engineering-based modeling activities provide a rich source of meaningful situations that capitalize on and extend students’ routine learning. By integrating such activities within existing curricula, students better appreciate how their school learning in mathematics and science applies to problems in the outside world...

Changing agendas in international research in mathematics education

Handbooks serve an important function for our research community in providing state-of-the-art summations, critiques, and extensions of existing trends in research. In the intervening years between the second and third editions of the Handbook of International Research in Mathematics Education, there have been stimulating developments in research, as well as new challenges in translating outcomes into practice. This third edition incorporates a number of new chapters representing areas of growth and challenge, in addition to substantially updated chapters from the second edition. As such, the Handbook addresses five core themes, namely, Priorities in International Mathematics Education Research, Democratic Access to Mathematics Learning, Transformations in Learning Contexts, Advances in Research Methodologies, and Influences of Advanced Technologies...

Problem solving in a 21st century mathematics curriculum

Research on problem solving in the mathematics curriculum has spanned many decades, yielding pendulum-like swings in recommendations on various issues. Ongoing debates concern the effectiveness of teaching general strategies and heuristics, the role of mathematical content (as the means versus the learning goal of problem solving), the role of context, and the proper emphasis on the social and affective dimensions of problem solving (e.g., Lesh & Zawojewski, 2007; Lester, 2013; Lester & Kehle, 2003; Schoenfeld, 1985, 2008; Silver, 1985). Various scholarly perspectives—including cognitive and behavioral science, neuroscience, the discipline of mathematics, educational philosophy, and sociocultural stances—have informed these debates, often generating divergent resolutions. Perhaps due to this uncertainty, educators’ efforts over the years to improve students’ mathematical problem-solving skills have had disappointing results. Qualitative and quantitative studies consistently reveal mathematics students’ struggles to solve problems more significant than routine exercises (OECD, 2014; Boaler, 2009)...

Quantifying the state of populations and effects of disturbances at large spatio-temporal scales: The case of coral populations in the great barrier reef

This project was a step forward in applying statistical methods and models to provide new insights for more informed decision-making at large spatial scales. The model has been designed to address complicated effects of ecological processes that govern the state of populations and uncertainties inherent in large spatio-temporal datasets. Specifically, the thesis contributes to better understanding and management of the Great Barrier Reef.

Rehabilitation of individuals with bone-anchored prosthesis: State-of-the-art and challenges

Individuals with limb amputation fitted with conventional socket-suspended prostheses often experience socket-related discomfort leading to a significant decrease in quality of life. Bone-anchored prostheses are increasingly acknowledged as viable alternative method of attachment of artificial limb. In this case, the prosthesis is attached directly to the residual skeleton through a percutaneous fixation. To date, a few osseointegration fixations are commercially available. Several devices are at different stages of development particularly in Europe and the US.[1-15] Clearly, surgical procedures are currently blooming worldwide. Indeed, Australia and Queensland in particular have one of the fastest growing populations. Previous studies involving either screw-type implants or press-fit fixations for bone-anchorage have focused on fragmented biomechanics aspects as well as the clinical benefits and safety of the procedure. However, very few publications have synthetized this information and provided an overview of the current developments in bone-anchored prostheses worldwide, let alone in Australia. The purposes of the presentation will be: 1. To provide an overview of the state-of-art developments in bone-anchored prostheses with as strong emphasis on the design of fixations, treatment, benefits, risks as well as future opportunities and challenges, 2. To present the current international developments of procedures for bone-anchored prostheses in terms of numbers of centers, number of cases and typical case-mix, 3. To highlight the current role Australia is playing as a leader worldwide in terms of growing population, broadest range of case-mix, choices of fixations, development of reimbursement schemes, unique clinical outcome registry for evidence-based practice, cutting-edge research, consumer demand and general public interest.

What triggers problem recognition? An exploration on young Australian male problematic online gamers

Help-seeking is a complex decision-making process that first begins with problem recognition. However, little is understood about the conceptualisation of the helpseeking process and the triggers of problem recognition. This research proposes the use of the Critical Incident Technique (CIT) to examine and classify incidents that serve as key triggers of problem recognition among young Australian male problematic online gamers. The research provides a classification of five different types of triggers that will aid social marketers into developing effective early detection, prevention and treatment focused social marketing interventions.

Post-transcriptional regulation in the nucleus and cytoplasm: study of mean time to threshold (MTT) and narrow escape problem

Messenger RNAs (mRNAs) can be repressed and degraded by small non-coding RNA molecules. In this paper, we formulate a coarsegrained Markov-chain description of the post-transcriptional regulation of mRNAs by either small interfering RNAs (siRNAs) or microRNAs (miRNAs). We calculate the probability of an mRNA escaping from its domain before it is repressed by siRNAs/miRNAs via cal- culation of the mean time to threshold: when the number of bound siRNAs/miRNAs exceeds a certain threshold value, the mRNA is irreversibly repressed. In some cases,the analysis can be reduced to counting certain paths in a reduced Markov model. We obtain explicit expressions when the small RNA bind irreversibly to the mRNA and we also discuss the reversible binding case. We apply our models to the study of RNA interference in the nucleus, examining the probability of mRNAs escaping via small nuclear pores before being degraded by siRNAs. Using the same modelling framework, we further investigate the effect of small, decoy RNAs (decoys) on the process of post-transcriptional regulation, by studying regulation of the tumor suppressor gene, PTEN : decoys are able to block binding sites on PTEN mRNAs, thereby educing the number of sites available to siRNAs/miRNAs and helping to protect it from repression. We calculate the probability of a cytoplasmic PTEN mRNA translocating to the endoplasmic reticulum before being repressed by miRNAs. We support our results with stochastic simulations

Linear programming for large-scale Markov decision problems

We consider the problem of controlling a Markov decision process (MDP) with a large state space, so as to minimize average cost. Since it is intractable to compete with the optimal policy for large scale problems, we pursue the more modest goal of competing with a low-dimensional family of policies. We use the dual linear programming formulation of the MDP average cost problem, in which the variable is a stationary distribution over state-action pairs, and we consider a neighborhood of a low-dimensional subset of the set of stationary distributions (defined in terms of state-action features) as the comparison class. We propose a technique based on stochastic convex optimization and give bounds that show that the performance of our algorithm approaches the best achievable by any policy in the comparison class. Most importantly, this result depends on the size of the comparison class, but not on the size of the state space. Preliminary experiments show the effectiveness of the proposed algorithm in a queuing application.

Health-related quality of life of individuals with transfemoral amputation fitted with the Transcutaneous Bone Anchoring Prosthesis following the OGAAP

Background The benefits and safety transcutaneous bone anchored prosthesis relying on a screw fixation are well reported.[1-17] However, most of the studies on press-fit implants and joint replacement technology have focused on surgical techniques.[3, 18-23] One European centre using this technique has reported on health related quality of life (HRQOL) for a group of individuals with transfemoral amputation (TFA).[3] Data from other centres are needed to assess the effectiveness of the technique in different settings. Aim This study aimed at reporting HRQOL data at baseline and up to 2-year follow-up for a group of TFAs treated by Osseointegration Group of Australia who followed the Osseointegration Group of Australia Accelerated Protocol (OGAAP), in Sydney between 08/12/2011 and 09/04/2014. Method A total of 16 TFAs (7 females and 9 males, age 51 ± 12 y, height 1.73 ± 0.12 m, weight 83 ±18 kg) participated in this study. The cause of amputation was trauma or congenital limb deficiency for 11 (69%) and 5 (31%) participants, respectively. A total of 12 (75%) participants were prosthetic users while 4(25%) were wheelchair bound prior the surgery. The HRQOL were obtained from Questionnaire for Persons with Transfemoral Amputation (Q-TFA) using the four main scales (i.e., Prosthetic use, Mobility, Problem, Global) one year before and between 6.5 and 24 months after the Stage 1 of the surgeries for the baseline and follow-up, respectively. Results The lapse of time before and after Stage 1 was -6.19±3.54 and 10.83±3.58 months respectively. The raw score and percentage of improvement are presented in Figures 1 and 2, respectively. Discussion & Conclusion The average results demonstrated an improvement in each domain, particularly in the reduction of problems and an increase in global state. Furthermore, 56%, 75%, 94% and 69% of the participants reported an improvement in Prosthetic use, Mobility, Problem, Global scales, respectively. These results were comparable to previous studies relying of screwed fixation confirming that press-fit implantation is a viable alternative for bone-anchored prostheses.[1, 7, 8]

Genetic determinants of bone density and fracture risk: State of the art and future directions

Context: Osteoporosis is a common, highly heritable condition that causes substantial morbidity and mortality, the etiopathogenesis of which is poorly understood. Genetic studies are making increasingly rapid progress in identifying the genes involved. Evidence Acquisition and Synthesis: In this review, we will summarize the current understanding of the genetics of osteoporosis based on publications from PubMed from the year 1987 onward. Conclusions: Most genes involved in osteoporosis identified to date encode components of known pathways involved in bone synthesis or resorption, but as the field progresses, new pathways are being identified. Only a small proportion of the total genetic variation involved in osteoporosis has been identified, and new approaches will be required to identify most of the remaining genes.

Palliative care problem severity score: Reliability and acceptability in a national study

Background The Palliative Care Problem Severity Score is a clinician-rated tool to assess problem severity in four palliative care domains (pain, other symptoms, psychological/spiritual, family/carer problems) using a 4-point categorical scale (absent, mild, moderate, severe). Aim To test the reliability and acceptability of the Palliative Care Problem Severity Score. Design: Multi-centre, cross-sectional study involving pairs of clinicians independently rating problem severity using the tool. Setting/participants Clinicians from 10 Australian palliative care services: 9 inpatient units and 1 mixed inpatient/community-based service. Results A total of 102 clinicians participated, with almost 600 paired assessments completed for each domain, involving 420 patients. A total of 91% of paired assessments were undertaken within 2 h. Strength of agreement for three of the four domains was moderate: pain (Kappa = 0.42, 95% confidence interval = 0.36 to 0.49); psychological/spiritual (Kappa = 0.48, 95% confidence interval = 0.42 to 0.54); family/carer (Kappa = 0.45, 95% confidence interval = 0.40 to 0.52). Strength of agreement for the remaining domain (other symptoms) was fair (Kappa = 0.38, 95% confidence interval = 0.32 to 0.45). Conclusion The Palliative Care Problem Severity Score is an acceptable measure, with moderate reliability across three domains. Variability in inter-rater reliability across sites and participant feedback indicate that ongoing education is required to ensure that clinicians understand the purpose of the tool and each of its domains. Raters familiar with the patient they were assessing found it easier to assign problem severity, but this did not improve inter-rater reliability.

(Ap)pointing the canon Rousseau's Émile, visions of the state, and education

Jean-Jacques Rousseau’s Émile, ou de I’Education (Émile, or on Education) has been described by Rousseau scholars in latter twentieth century English-language philosophy as an educational classic. In 1995 Robert Wokler argued that together with Montesquieu, Hume, Smith, and Kant among his contemporaries, Rousseau had exerted the most profound influence on modern European intellectual history, “perhaps even surpassing anyone else of his day." For Wokler Émile is “the most significant work on education after Plato’s Republic.” Earlier in 1977, Allan Bloom questioned why Émile had not been the subject of analysis in philosophy relative to the rest of Rousseau‘s work, for “Émile is truly a great book, one that lays out for the first time and with the greatest clarity and vitality the modern way of posing the problems of psychology.” Bloom also saw Émile as “one of those rare total or synoptic books... a book comparable to Plato’s Republic, which it is meant to rival or supersede” and argued that Rousseau himself was at the source of a new tradition: “Whatever else Rousseau may have accomplished, he presented alternatives available to man more comprehensively and profoundly and articulated them in the form which has dominated discussion since his time." Even Peter Gay’s earlier commentary on John Locke and education in 1964 could not escape this central positioning of the text. The significance of Locke’s Some Thoughts on Education is weighed in relation to its impact on Rousseau‘s Émile. For Gay, the latter is “probably the most influential revolutionary tract on education that we have.”

State-formation, teaching techniques, and globalization as aporia

Eleanor Smith [pseudonym], teacher : I was talking to the kids about MacDonalds*/I forget exactly what the context was*/I said ‘‘ah, the Americans call them French fries, and, you know, MacDonalds is an American chain and they call them French fries because the Americans call them French fries’’, and this little Australian kid in the front row, very Australian child, said to me, ‘‘I call them French fries!’’ . . . Um, a fourth grade boy whom I taught in 1993 at this school, the world basketball championships were on . . . Americans were playing their dream machine and the Boomers were up against them . . . and, ah, this boy was very interested in basketball . . . but it’s not in my blood, not in the way cricket is for example . . . Um, Um, and I said to this fellow, ‘‘um, well’’, I said, ‘‘Australia’s up against Dream Machine tomorrow’’. He [Jason, pseudonym] said, ‘‘Ah, you know, Boomers probably won’t win’’. . . . I said, ‘‘Well that’s sport, mate’’. I said, ‘‘You never know in sport. Australia might win’’. And he looked at me and he said, ‘‘I’m not going for Australia, I’m going for America’’. This is from an Australian boy! And I thought so strong is the hype, so strong is the, is the, power of the media, etc., that this boy is not [pause], I can’t tell you how outraged I was. Here’s me as an Australian and I don’t even support basketball, it’s not even my sport, um, but that he would respond like that because of the power of the American machine that’s converting kids’ minds, the way they think, where they’re putting their loyalties, etc. I was just appalled, but that’s where he was. And when I asked kids for their favourite place, he said Los Angeles.