A controlled, rapid approach to curriculum change

Teachers are continually bombarded with change programs for improvements in areas such as literacy and numeracy, however; the focus is often on the program and not on results (Pertuzé, Calder, Greitzer & Lucas, 2010). When the inevitable failure follows (Fullan, 2005; Gross, Giacquinta & Bernstein, 1971)the school moves on to a new activities-based model.

Insight into the fractional calculus via a spreadsheet

Many students of calculus are not aware that the calculus they have learned is a special case (integer order) of fractional calculus. Fractional calculus is the study of arbitrary order derivatives and integrals and their applications. The article begins by stating a naive question from a student in a paper by Larson (1974) and establishes, for polynomials and exponential functions, that they can be deformed into their derivative using the μ-th order fractional derivatives for 0<μ<1. Through the power of Excel we illustrate the continuous deformations dynamically through conditional formatting. Some applications are discussed and a connection made to mathematics education.

Time, space, and text in the elementary school digital writing classroom

Theorists of multiliteracies, social semiotics, and the New Literacy Studies have drawn attention to the potential changing nature of writing and literacy in the context of networked communications. This article reports findings from a design-based research project in Year 4 classrooms (students aged 8.5-10 years) in a low socioeconomic status school. A new writing program taught students how to design multimodal and digital texts across a range of genres and text types, such as web pages, online comics, video documentaries, and blogs. The authors use Bernstein’s theory of the pedagogic device to theorize the pedagogic struggles and resolutions in remaking English through the specialization of time, space, and text. The changes created an ideological struggle as new writing practices were adapted from broader societal fields to meet the instructional and regulative discourses of a conventional writing curriculum.

Using annotations to inform an understanding of achievement standards

The implementation of a new national curriculum and standards-referenced assessment in Australia has been an opportunity and a challenge for teacher assessment practices. In this case study of teachers in two Queensland schools, we explore how annotating student or exemplar assessment tasks could support teacher assessment practice. Three learning conversations between the researchers and the teacher teams are interpreted through the lens of Bernstein’s (1999) horizontal and vertical discourses to understand the complexities of coming to know an assessment standard. The study contributes to the literature on the use of annotations by exploring how teachers negotiated the purposes and processes of annotation, how annotating student work or exemplars before teaching commenced supported teachers to experience greater clarity about assessment standards and, finally, some of the tensions experienced by the teachers as they considered this practice within the practicalities of their daily work.

Teachers using annotations to engage students in assessment conversations : recontextualising knowledge

Assessment for Learning practices with students such as feedback, and self- and peer assessment are opportunities for teachers and students to develop a shared understanding of how to create quality learning performances. Quality is often represented through achievement standards. This paper explores how primary school teachers in Australia used the process of annotating work samples to develop shared understanding of achievement standards during their curriculum planning phase, and how this understanding informed their teaching so that their students also developed this understanding. Bernstein's concept of the pedagogic device is used to identify the ways teachers recontextualised their assessment knowledge into their pedagogic practices. Two researchers worked alongside seven primary school teachers in two schools over a year, gathering qualitative data through focus groups and interviews. Three general recontextualising approaches were identified in the case studies; recontextualising standards by reinterpreting the role of rubrics, recontextualising by replicating the annotation process with the students and recontextualising by reinterpreting practices with students. While each approach had strengths and limitations, all of the teachers concluded that annotating conversations in the planning phase enhanced their understanding, and informed their practices in helping students to understand expectations for quality.

A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation

The fractional Fokker-Planck equation is an important physical model for simulating anomalous diffusions with external forces. Because of the non-local property of the fractional derivative an interesting problem is to explore high accuracy numerical methods for fractional differential equations. In this paper, a space-time spectral method is presented for the numerical solution of the time fractional Fokker-Planck initial-boundary value problem. The proposed method employs the Jacobi polynomials for the temporal discretization and Fourier-like basis functions for the spatial discretization. Due to the diagonalizable trait of the Fourier-like basis functions, this leads to a reduced representation of the inner product in the Galerkin analysis. We prove that the time fractional Fokker-Planck equation attains the same approximation order as the time fractional diffusion equation developed in [23] by using the present method. That indicates an exponential decay may be achieved if the exact solution is sufficiently smooth. Finally, some numerical results are given to demonstrate the high order accuracy and efficiency of the new numerical scheme. The results show that the errors of the numerical solutions obtained by the space-time spectral method decay exponentially.

Secular and religious moral grounds resonating across state schools in Indonesia

This paper describes moral education in Indonesia, more particularly, how teachers have implemented the Character Education policy issued by the Ministry of Education and Culture (MOEC) in 2010. This policy required teachers to instil certain values in every lesson, including EFL lessons, to contribute towards building a shared national moral character. Drawing on Durkheim's distinction between secular and religious morality, this paper considers how state schools accommodated and promoted this ‘rational moral education' or secular morality (Durkheim, 1925) in government schools, and how it interacted with religious moral education. This paper uses Bernstein's concepts of pedagogic discourse, instructional and regulative discourses to analyse how teachers have recontextualised this policy in the micro pedagogic settings of their EFL classes. Three types of data were collected for this study: interviews, class observations and teachers' lesson plans. In this way, four EFL teachers working in state schools were interviewed on two occasions and three of their classes were observed. The first interview identified teachers' beliefs and perceptions regarding the Character Education policy. Their classroom and lesson plans were observed to augment this information. Then the final interview asked about the teacher's thinking behind their actions in the observed classes. Since character education was issued within the broader frame of school based curriculum that offered schools and teachers more choices to develop the local curriculum and its intent, the analysis will focus on what moral premises were evident in their school and classes, and how such morality was transmitted through the EFL lessons. The conclusion suggests that teachers' implementation of moral education in their classes was dominated by their school communities and the teachers' own preferred value of religiosity. Such value played out in the classes through both the regulative discourse and the instructional discourse.

Understanding classroom trouble through regulative gravity and instructional elasticity

This paper aims to develop a more nuanced analytic vocabulary to typify how and where classroom trouble can manifest in pedagogic discourse. It draws on classroom ethnographies conducted in non-academic secondary school pathways and alternative programs in Australian communities with high youth unemployment, where the policy of ‘earning or learning’ till age 17 has effectively extended compulsory schooling. Three concepts are developed and exemplified: ‘regulative flares’, being moments when teachers resort to explicitly reasserting the lesson’s social order; ‘moral gravity’ to describe the degree to which the moral order underpinning the regulative discourse is tied to the immediate context or beyond; and ‘instructional elasticity’ to account for trouble originating in the instructional register.

Analytical study of implementation issues of NTRU

Nth-Dimensional Truncated Polynomial Ring (NTRU) is a lattice-based public-key cryptosystem that offers encryption and digital signature solutions. It was designed by Silverman, Hoffstein and Pipher. The NTRU cryptosystem was patented by NTRU Cryptosystems Inc. (which was later acquired by Security Innovations) and available as IEEE 1363.1 and X9.98 standards. NTRU is resistant to attacks based on Quantum computing, to which the standard RSA and ECC public-key cryptosystems are vulnerable to. In addition, NTRU has higher performance advantages over these cryptosystems. Considering this importance of NTRU, it is highly recommended to adopt NTRU as part of a cipher suite along with widely used cryptosystems for internet security protocols and applications. In this paper, we present our analytical study on the implementation of NTRU encryption scheme which serves as a guideline for security practitioners who are novice to lattice-based cryptography or even cryptography. In particular, we show some non-trivial issues that should be considered towards a secure and efficient NTRU implementation.

Interrogating policy contradictions in literacy reforms about persuasive texts

Objectives Our overarching objective is to demonstrate the political contradictions about about how persuasive texts should be taught in the middle years of schooling, analysing two contradictory Australian wide educational reforms. We consider the complexities of power and access to literacy for students in relation to these reforms about the privileged genre of persuasion. Our work is framed by our appreciation of literacy as a social justice issue, and the notion of students’ pedagogic rights (Bernstein, 2000). Specifically, we introduce and analyse the knowledge and skills about persuasive text sanctioned by the Australian high-stakes test, the National Assessment Program for Literacy and Numeracy (NAPLAN), for students in the middle years of schooling (ACARA, 2013). We compare this to the contemporary emphasis on multimodal persuasive texts sanctioned by the recently released Australian Curriculum English (ACARA, 2014). We conclude our analysis by identifying biases in the structure of particular knowledges and the inherent threats to democracy.

Looking back to look forwards: Expanding the sociology of education

As we write these lines, sociology celebrates 50 years of the French publication of the book ‘The Inheritors’, written by Bourdieu and Passeron in 1964. This ‘classic’ was followed by a series of works in the sociology of education (mainly published in England, France and the United States) devoted to the inequalities inherent within disparate projects revolving around school democratisation . From the 1960s to the mid-1970s, if the paradigms of educational sociologists do not all inscribe to that of critical sociology , several common factors are involved in researchers’ overarching lines of enquiry: the development of statistical data on schools, conferences and publication of reports on education (see Coleman, 1966 in the United States; Plowden, 1967 in the United Kingdom), and the structuration of school policies around democratisation underlying theories of human capital and the dependence of the school vis-à-vis the labour market, and the stratification and socio-economic organisation of societies.

Bivariate genome-wide association study of genetically correlated neuroimaging phenotypes from DTI and MRI through a seemingly unrelated regression model

Large multisite efforts (e.g., the ENIGMA Consortium), have shown that neuroimaging traits including tract integrity (from DTI fractional anisotropy, FA) and subcortical volumes (from T1-weighted scans) are highly heritable and promising phenotypes for discovering genetic variants associated with brain structure. However, genetic correlations (rg) among measures from these different modalities for mapping the human genome to the brain remain unknown. Discovering these correlations can help map genetic and neuroanatomical pathways implicated in development and inherited risk for disease. We use structural equation models and a twin design to find rg between pairs of phenotypes extracted from DTI and MRI scans. When controlling for intracranial volume, the caudate as well as related measures from the limbic system - hippocampal volume - showed high rg with the cingulum FA. Using an unrelated sample and a Seemingly Unrelated Regression model for bivariate analysis of this connection, we show that a multivariate GWAS approach may be more promising for genetic discovery than a univariate approach applied to each trait separately.

Serum cholesterol and variant in cholesterol-related gene CETP predict white matter microstructure

Several common genetic variants influence cholesterol levels, which play a key role in overall health. Myelin synthesis and maintenance are highly sensitive to cholesterol concentrations, and abnormal cholesterol levels increase the risk for various brain diseases, including Alzheimer's disease. We report significant associations between higher serum cholesterol (CHOL) and high-density lipoprotein levels and higher fractional anisotropy in 403 young adults (23.8 ± 2.4years) scanned with diffusion imaging and anatomic magnetic resonance imaging at 4Tesla. By fitting a multi-locus genetic model within white matter areas associated with CHOL, we found that a set of 18 cholesterol-related, single-nucleotide polymorphisms implicated in Alzheimer's disease risk predicted fractional anisotropy. We focused on the single-nucleotide polymorphism with the largest individual effects, CETP (rs5882), and found that increased G-allele dosage was associated with higher fractional anisotropy and lower radial and mean diffusivities in voxel-wise analyses of the whole brain. A follow-up analysis detected white matter associations with rs5882 in the opposite direction in 78 older individuals (74.3 ± 7.3years). Cholesterol levels may influence white matter integrity, and cholesterol-related genes may exert age-dependent effects on the brain.

A "Candidate-Interactome" Aggregate Analysis of Genome-Wide Association Data in Multiple Sclerosis

Though difficult, the study of gene-environment interactions in multifactorial diseases is crucial for interpreting the relevance of non-heritable factors and prevents from overlooking genetic associations with small but measurable effects. We propose a "candidate interactome" (i.e. a group of genes whose products are known to physically interact with environmental factors that may be relevant for disease pathogenesis) analysis of genome-wide association data in multiple sclerosis. We looked for statistical enrichment of associations among interactomes that, at the current state of knowledge, may be representative of gene-environment interactions of potential, uncertain or unlikely relevance for multiple sclerosis pathogenesis: Epstein-Barr virus, human immunodeficiency virus, hepatitis B virus, hepatitis C virus, cytomegalovirus, HHV8-Kaposi sarcoma, H1N1-influenza, JC virus, human innate immunity interactome for type I interferon, autoimmune regulator, vitamin D receptor, aryl hydrocarbon receptor and a panel of proteins targeted by 70 innate immune-modulating viral open reading frames from 30 viral species. Interactomes were either obtained from the literature or were manually curated. The P values of all single nucleotide polymorphism mapping to a given interactome were obtained from the last genome-wide association study of the International Multiple Sclerosis Genetics Consortium & the Wellcome Trust Case Control Consortium, 2. The interaction between genotype and Epstein Barr virus emerges as relevant for multiple sclerosis etiology. However, in line with recent data on the coexistence of common and unique strategies used by viruses to perturb the human molecular system, also other viruses have a similar potential, though probably less relevant in epidemiological terms. © 2013 Mechelli et al.

Common variants at the MHC locus and at chromosome 16q24.1 predispose to Barrett's Esophagus

Barrett's esophagus is an increasingly common disease that is strongly associated with reflux of stomach acid and usually a hiatus hernia, and it strongly predisposes to esophageal adenocarcinoma (EAC), a tumor with a very poor prognosis. We report the first genome-wide association study on Barrett's esophagus, comprising 1,852 UK cases and 5,172 UK controls in the discovery stage and 5,986 cases and 12,825 controls in the replication stage. Variants at two loci were associated with disease risk: chromosome 6p21, rs9257809 (P combined = 4.09 × 10-9; odds ratio (OR) = 1.21, 95% confidence interval (CI) =1.13-1.28), within the major histocompatibility complex locus, and chromosome 16q24, rs9936833 (P combined = 2.74 × 10-10; OR = 1.14, 95% CI = 1.10-1.19), for which the closest protein-coding gene is FOXF1, which is implicated in esophageal development and structure. We found evidence that many common variants of small effect contribute to genetic susceptibility to Barrett's esophagus and that SNP alleles predisposing to obesity also increase risk for Barrett's esophagus. © 2012 Nature America, Inc. All rights reserved.