Sequential development of algebra knowledge : a cognitive analysis

Learning to operate algebraically is a complex process that is dependent upon extending arithmetic knowledge to the more complex concepts of algebra. Current research has shown a gap between arithmetic and algebraic knowledge and suggests a pre-algebraic level as a step between the two knowledge types. This paper examines arithmetic and algebraic knowledge from a cognitive perspective in an effort to determine what constitutes a pre-algebraic level of understanding. Results of a longitudinal study designed to investigate students' readiness for algebra are presented. Thirty-three students in Grades 7, 8, and 9 participated. A model for the transition from arithmetic to pre-algebra to algebra is proposed and students' understanding of relevant knowledge is discussed.

Knowledge management strategy for the Building Division, Queensland Department of Public Works

This paper describes the background and methodology developed and employed in undertaking research developing a Knowledge Management Strategy for a key construction focused government agency. This paper reviews this methodology and examines a likely Knowledge Management Strategy. Two central objectives structure this Case Study: 1. Identify categories of important information generated by the Building Division, Queensland Department of Public Works in its service delivery to internal and external stake-holders, and 2. Formulate an appropriate and targeted Knowledge Management Strategy to meet the needs of the Queensland Building Capital Works program. The structure of this paper includes: *Description of the Queensland construction industry setting *Review the relevant literature *Design an appropriate research methodology *Analyse results *Formulate conclusions, contributions and implications of the targeted strategy.

The global division of labour and the division in global labour

Since the 1980s the locus of manufacturing and some services have moved to countries of the Global South. Liberalization of trade and investment has added two billion people to world labour supply and brought workers everywhere into intense competition with each other. Under orthodox neoliberal and neoclassical approaches free trade and open investment should benefit all countries and lead to convergence. However considerable differences in wages and working hours exist between workers of the Global North and those of the Global South. The organising question for the thesis is why workers in different countries but the same industries get different wages. Empirical evidence reviewed in the thesis shows that productivity does not explain these wage differences and that workers in some parts of the South are more productive than workers in the North. Part of the thesis examines the usefulness of explanations drawn from Marxist, institutionalist and global commodity chain approaches. There is a long established argument in Marxist and neo-Marxist writings that differences between North and South result from imperialism and the exercise of power. This is the starting point to review ways of understanding divisions between workers as the outcome of a global class structure. In turn, a fault line is postulated between productive and unproductive labour that largely replicates the division between the Global North and the Global South. Workers and their organizations need shared actions if they are to resist global competition and wage disparities. Solidarity has been the clarion of progressive movements from the Internationals of the early C19th through to the current Global Unions and International Confederation of Trade Unions (ICTU). The thesis examines how nationalism and particular interests have undermined solidarity and reviews the major implications for current efforts to establish and advance a global labour position.

RcppArmadillo : accelerating R with high-performance C++ linear algebra

The R statistical environment and language has demonstrated particular strengths for interactive development of statistical algorithms, as well as data modelling and visualisation. Its current implementation has an interpreter at its core which may result in a performance penalty in comparison to directly executing user algorithms in the native machine code of the host CPU. In contrast, the C++ language has no built-in visualisation capabilities, handling of linear algebra or even basic statistical algorithms; however, user programs are converted to high-performance machine code, ahead of execution. A new method avoids possible speed penalties in R by using the Rcpp extension package in conjunction with the Armadillo C++ matrix library. In addition to the inherent performance advantages of compiled code, Armadillo provides an easy-to-use template-based meta-programming framework, allowing the automatic pooling of several linear algebra operations into one, which in turn can lead to further speedups. With the aid of Rcpp and Armadillo, conversion of linear algebra centered algorithms from R to C++ becomes straightforward. The algorithms retains the overall structure as well as readability, all while maintaining a bidirectional link with the host R environment. Empirical timing comparisons of R and C++ implementations of a Kalman filtering algorithm indicate a speedup of several orders of magnitude.

Reorganizing a technical services division using collaborative evidence based information practice at Auraria Library

The article focuses on the evidence-based information practice (EBIP) applied at the Auraria Library in Denver, Colorado during the reorganization of its technical services division. Collaboration processes were established for the technical services division through the reorganization and redefinition of workflows. There are several factors that form part of the redefinition of roles including personal interests, department needs, and library needs. A collaborative EBIP environment was created in the division by addressing issues of workplace hierarchies, by the distribution of problem solving, and by the encouragement of reflective dialogue.

Colour by numbers in Excel 2007 : solving algebraic equations without algebra

This is an update of an earlier paper, and is written for Excel 2007. A series of Excel 2007 models is described. The more advanced versions allow solution of f(x)=0 by examining change of sign of function values. The function is graphed and change of sign easily detected by a change of colour. Relevant features of Excel 2007 used are Names, Scatter Chart and Conditional Formatting. Several sample Excel 2007 models are available for download, and the paper is intended to be used as a lesson plan for students having some familiarity with derivatives. For comparison and reference purposes, the paper also presents a brief outline of several common equation-solving strategies as an Appendix.

Language Literacy and Numeracy in TAFE Diploma of Nursing (Enrolled/Division 2 Nursing)

This project aimed to identify current Language Literacy and Numeracy (LLN) and Inclusive Teaching and Learning Practices in a TAFE Diploma of Nursing (Enrolled/Division 2 Nursing). The key purpose of the study was to make recommendations for improving inclusive teaching practice and learning outcomes of students and for reducing student attrition, thereby increasing the employability of graduates in the health industry subsequent to course completion.