Promoting Statistical Literacy Through Data Modelling in the Early School Years

This chapter addresses data modelling as a means of promoting statistical literacy in the early grades. Consideration is first given to the importance of increasing young children’s exposure to statistical reasoning experiences and how data modelling can be a rich means of doing so. Selected components of data modelling are then reviewed, followed by a report on some findings from the third-year of a three-year longitudinal study across grades one through three.

The development of an effective and efficient dispute resolution processes for strata scheme disputes in peninsular Malaysia

Dispute resolution in strata schemes in Peninsular Malaysia should focus on more than just "settlement." The quality of the outcome, its sustainability and its relevance in supporting the basic principles of a good neighbourhood and self-governance in a strata scheme are also fundamental. Based on the comprehensive law movement, this thesis develops a theoretical framework for strata scheme disputes within the parameters of therapeutic jurisprudence, preventive law, alternative dispute resolution (ADR) and problem-solving courts. The therapeutic orientation of this model offers approaches that promote positive communication between disputing parties, preserve neighbour relations and optimise people's psychological and emotional well-being.

goDesign Express 2011 Workshop

The goDesign Express 2011 Workshop was a design immersion workshop run by the Queensland University of Technology (QUT) Built Environment and Engineering Faculty during three weeks of 70-minute art class periods/sessions in August/September 2011 at Morayfield State High School, for 80 Grade 10 and 64 Grade 11 art students and two teachers, and October 2011 at Narangba Valley State High School for 60 Grade 10 and 30 Grade 11 art students and two teachers. Funded and administrated through QUT’s Widening Participation Program, which supports outreach activities to increase tertiary enrolments for under represented groups (such as low-SES, rural and indigenous students), the program utilised two activities from Day 1 of the highly successful 3-day goDesign Travelling Workshop Program for Regional Secondary Students (http://eprints.qut.edu.au/47747/). In contrast to this program, which was facilitated by two tertiary design educators, the goDesign Express 2011 Workshop was facilitated primarily by three tertiary interior design/architecture students, with assistance from a design educator. This action research study aimed to facilitate an awareness in young people, of the value of design thinking skills in generating strategies to solve local community challenges. It also aimed to investigate the value of collaboration between secondary school students and teachers, and tertiary design students and educators, in inspiring post-secondary pathways for school students, professional development for schoolteachers, and alternative career prospects and leadership skills for tertiary design students. During the workshop, secondary students and teachers explored, analysed and reimagined their local community through a series of scaffolded problem solving activities around the theme of ‘place’. Students worked individually and in groups designing graphics, fashion and products, and utilising sketching, making, communication, collaboration and presentation skills to improve their design process, while considering social, cultural and environmental opportunities for their local community. The workshop was mentioned in a news article in the local Caboolture Shire Herald newspaper.

Stimulating organizational ingenuity with design methods

Organizations invest in ways to stimulate new ideas for new products and services for the benefit of the organization, engaging in tournaments and competitions to generate new ideas or to combine existing ideas in new ways for new products and services (Terweisch and Uhlrich, 2009). Specifically, some large companies have developed platforms for posting intractable problems to tap into the ideas and problem solving abilities of a broader range of people (Huston and Sakkab, 2006; Morgan and Wang, 2010), and to develop new and elegant solutions often in an open innovation approach (Chesbrough, 2003). The notion of ingenuity is often applied to individuals who create innovative solutions in situations of constraint, where ingenuity in the form of elegant solutions can be understood as one form of resourcefulness (Young, 2011). However, the notion of organizational ingenuity locates ingenuity more centrally to an organization's strategic decision making and implementation, embedding ingenuity into the company's culture. Studies of organizations displaying ingenuity indicate a range of possibilities from extreme ingenuity (Baker and Nelson, 2005) to less dramatic but substantial changes (Thomke, 2003), sometimes in an experimental phase or as part of a move towards a new and distinct identity for ongoing innovation.

Eigenstrain boundary integral equations with local Eshelby matrix for stress analysis of ellipsoidal particles

Aiming at the large scale numerical simulation of particle reinforced materials, the concept of local Eshelby matrix has been introduced into the computational model of the eigenstrain boundary integral equation (BIE) to solve the problem of interactions among particles. The local Eshelby matrix can be considered as an extension of the concepts of Eshelby tensor and the equivalent inclusion in numerical form. Taking the subdomain boundary element method as the control, three-dimensional stress analyses are carried out for some ellipsoidal particles in full space with the proposed computational model. Through the numerical examples, it is verified not only the correctness and feasibility but also the high efficiency of the present model with the corresponding solution procedure, showing the potential of solving the problem of large scale numerical simulation of particle reinforced materials.

Engineering Design

Engineering Your Future: An Australasian Guide, 2nd Edition, is the ideal textbook for undergraduate students beginning their engineering studies. Building on the success of the popular 1st edition, this new edition continues the strong and practical emphasis on skills that are essential for engineering problem-solving and design. Numerous topical and locally focused examples of projects across the broad range of engineering disciplines help to graphically demonstrate the role and responsibilities of a professional engineer. Themes of sustainability, ethical practice and effective communication are constant throughout the text. In addition, its many exercises and project activities will encourage students to put key engineering principles and skills into practice.

Hybrid genetic algorithm for elimination of severe stress concentration in railhead ends

This paper presents a computational method for eliminating severe stress concentration at the unsupported railhead ends in rail joints through innovative shape optimization of the contact zone, which is complex due to near field nonlinear contact. With a view to minimizing the computational efforts, hybrid genetic algorithm method coupled with parametric finite element has been developed and compared with the traditional genetic algorithm (GA). The shape of railhead top surface where the wheel contacts nonlinearly was optimized using the hybridized GA method. Comparative study of the optimal result and the search efficiency between the traditional and hybrid GA methods has shown that the hybridized GA provides the optimal shape in fewer computational cycles without losing accuracy. The method will be beneficial to solving complex engineering problems involving contact nonlinearity.

A more efficient and effective heuristic algorithm for the MapReduce placement problem in cloud computing

The placement of the mappers and reducers on the machines directly affects the performance and cost of the MapReduce computation in cloud computing. From the computational point of view, the mappers/reducers placement problem is a generalization of the classical bin packing problem, which is NP-complete. Thus, in this paper we propose a new heuristic algorithm for the mappers/reducers placement problem in cloud computing and evaluate it by comparing with other several heuristics on solution quality and computation time by solving a set of test problems with various characteristics. The computational results show that our heuristic algorithm is much more efficient than the other heuristics. Also, we verify the effectiveness of our heuristic algorithm by comparing the mapper/reducer placement for a benchmark problem generated by our heuristic algorithm with a conventional mapper/reducer placement. The comparison results show that the computation using our mapper/reducer placement is much cheaper while still satisfying the computation deadline.

Numerical estimation of 3D mechanical forces exerted by cells on non-linear materials

The exchange of physical forces in both cell-cell and cell-matrix interactions play a significant role in a variety of physiological and pathological processes, such as cell migration, cancer metastasis, inflammation and wound healing. Therefore, great interest exists in accurately quantifying the forces that cells exert on their substrate during migration. Traction Force Microscopy (TFM) is the most widely used method for measuring cell traction forces. Several mathematical techniques have been developed to estimate forces from TFM experiments. However, certain simplifications are commonly assumed, such as linear elasticity of the materials and/or free geometries, which in some cases may lead to inaccurate results. Here, cellular forces are numerically estimated by solving a minimization problem that combines multiple non-linear FEM solutions. Our simulations, free from constraints on the geometrical and the mechanical conditions, show that forces are predicted with higher accuracy than when using the standard approaches.

A meshfree-based local Galerkin method with condensation of degree of freedom for elastic dynamic analysis

Condensation technique of degree of freedom is first proposed to improve the computational efficiency of meshfree method with Galerkin weak form for elastic dynamic analysis. In the present method, scattered nodes without connectivity are divided into several subsets by cells with arbitrary shape. Local discrete equation is established over each cell by using moving Kriging interpolation, in which the nodes that located in the cell are used for approximation. Then local discrete equations can be simplified by condensation of degree of freedom, which transfers equations of inner nodes to equations of boundary nodes based on cells. The global dynamic system equations are obtained by assembling all local discrete equations and are solved by using the standard implicit Newmark’s time integration scheme. In the scheme of present method, the calculation of each cell is carried out by meshfree method, and local search is implemented in interpolation. Numerical examples show that the present method has high computational efficiency and good accuracy in solving elastic dynamic problems.

Peer assisted learning and generation Y : a case study

In recent years Australian Law Schools have implemented various forms of peer assisted learning or mentoring, including career mentoring by former students of final year students and orientation mentoring or tutoring by later year students of incoming first year students. The focus of these programs therefore is on the transition into or out of law school. There is not always as great an emphasis however, as part of this transition, on the use of law students belonging to the same unit cohort as a learning resource for each other within their degree. This is despite the claimed preference of Generation Y students for collaborative learning environments, authentic learning experiences and the development of marketable workplace skills. In the workplace, be it professional legal practice or otherwise, colleagues rely heavily on each other for information, support and guidance. In the undergraduate law degree at the Queensland University of Technology (‘QUT’) the Torts Student Peer Mentor Program aims to supplement a student’s understanding of the substantive law of torts with the development of life-long skills. As such it has the primary objective, albeit through discussion facilitated by more senior students, of encouraging first year students to develop for themselves the skills they need to be successful both as law students and as legal practitioners. Examples of such skills include those relevant to: preparation for assessment tasks; group work; problem solving, cognition and critical thinking; independent learning; and communication. Significantly, in this way, not only do the mentees benefit from involvement in the program, but the peer mentors, or program facilitators, themselves also benefit from their participation in the real world learning environment the program provides. This paper outlines the development and implementation of the above program, the pedagogy which influenced it, and its impact on student learning experiences

Concurrent validity of accelerations measured using a tri-axial inertial measurement unit while walking on firm, compliant and uneven surfaces

Although accelerometers are extensively used for assessing gait, limited research has evaluated the concurrent validity of these devices on less predictable walking surfaces or the comparability of different methods used for gravitational acceleration compensation. This study evaluated the concurrent validity of trunk accelerations derived from a tri-axial inertial measurement unit while walking on firm, compliant and uneven surfaces and contrasted two methods used to remove gravitational accelerations: i) subtraction of the best linear fit from the data (detrending), and; ii) use of orientation information (quaternions) from the inertial measurement unit. Twelve older and twelve younger adults walked at their preferred speed along firm, compliant and uneven walkways. Accelerations were evaluated for the thoracic spine (T12) using a tri-axial inertial measurement unit and an eleven-camera Vicon system. The findings demonstrated excellent agreement between accelerations derived from the inertial measurement unit and motion analysis system, including while walking on uneven surfaces that better approximate a real-world setting (all differences <0.16 m.s−2). Detrending produced slightly better agreement between the inertial measurement unit and Vicon system on firm surfaces (delta range: −0.05 to 0.06 vs. 0.00 to 0.14 m.s−2), whereas the quaternion method performed better when walking on compliant and uneven walkways (delta range: −0.16 to −0.02 vs. −0.07 to 0.07 m.s−2). The technique used to compensate for gravitational accelerations requires consideration in future research, particularly when walking on compliant and uneven surfaces. These findings demonstrate trunk accelerations can be accurately measured using a wireless inertial measurement unit and are appropriate for research that evaluates healthy populations in complex environments.

A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction–diffusion equations

Fractional differential equations have been increasingly used as a powerful tool to model the non-locality and spatial heterogeneity inherent in many real-world problems. However, a constant challenge faced by researchers in this area is the high computational expense of obtaining numerical solutions of these fractional models, owing to the non-local nature of fractional derivatives. In this paper, we introduce a finite volume scheme with preconditioned Lanczos method as an attractive and high-efficiency approach for solving two-dimensional space-fractional reaction–diffusion equations. The computational heart of this approach is the efficient computation of a matrix-function-vector product f(A)bf(A)b, where A A is the matrix representation of the Laplacian obtained from the finite volume method and is non-symmetric. A key aspect of our proposed approach is that the popular Lanczos method for symmetric matrices is applied to this non-symmetric problem, after a suitable transformation. Furthermore, the convergence of the Lanczos method is greatly improved by incorporating a preconditioner. Our approach is show-cased by solving the fractional Fisher equation including a validation of the solution and an analysis of the behaviour of the model.

Diophantine equations as a context for technology-enhanced training in conjecturing and proving

Solving indeterminate algebraic equations in integers is a classic topic in the mathematics curricula across grades. At the undergraduate level, the study of solutions of non-linear equations of this kind can be motivated by the use of technology. This article shows how the unity of geometric contextualization and spreadsheet-based amplification of this topic can provide a discovery experience for prospective secondary teachers and information technology students. Such experience can be extended to include a transition from a computationally driven conjecturing to a formal proof based on a number of simple yet useful techniques.

Approximate solutions to stochastic dynamic programs

This paper examines the properties of various approximation methods for solving stochastic dynamic programs in structural estimation problems. The problem addressed is evaluating the expected value of the maximum of available choices. The paper shows that approximating this by the maximum of expected values frequently has poor properties. It also shows that choosing a convenient distributional assumptions for the errors and then solving exactly conditional on the distributional assumption leads to small approximation errors even if the distribution is misspecified. © 1997 Cambridge University Press.