Mathematical modelling of intramembranous bone formation during fracture healing

During fracture healing, many complex and cryptic interactions occur between cells and bio-chemical molecules to bring about repair of damaged bone. In this thesis two mathematical models were developed, concerning the cellular differentiation of osteoblasts (bone forming cells) and the mineralisation of new bone tissue, allowing new insights into these processes. These models were mathematically analysed and simulated numerically, yielding results consistent with experimental data and highlighting the underlying pattern formation structure in these aspects of fracture healing.

Great Expectations : stability and change in English teaching : the teacher as chameleon

Curriculum is always in a state of flux and so often the moves to ‘reform’ it are political rather than pedagogical. So often in these days of accountability we focus on the learner. I want to focus on the teacher in this presentation. As English educators we have to ‘fit’ whatever new policy model comes our way. The Australian curriculum seems to have tried to please every stakeholder in its process and as such has been formed without a single, unifying coherent theoretical basis. How do we challenge this paper tiger? We have to find the pedagogical models within the current framework and see what still works in practice. At the chalk-face there are still teaching, learning and assessment practices in English surviving from the last few decades of pedagogical change; and there is also room for accommodating new practices. Embracing and adapting the old and the new may be the key to staying creative and passionately engaged with our subject area.

Language and literacy in mathematics: stepping stones or stumbling blocks in accelerating junior-secondary students

The authors have collaborated in the development and initial evaluation of a curriculum for mathematics acceleration. This paper reports upon the difficulties encountered with documenting student understanding using pen-and-paper assessment tasks. This leads to a discussion of the impact of students’ language and literacy on mathematical performance and the consequences for motivation and engagement as a result of simplifying the language in the tests, and extending student work to algebraic representations. In turn, implications are drawn for revisions to assessment used within the project and the language and literacy focus included within student learning experiences.

Narrative and multimodality in English language arts curricula : a tale of two nations

In this policy column within this special edition on "The Arts in Language Arts", we critique the current place of multimodality and narratives in research and curriculum policy. This is a vital issue of significance for literacy educators, researchers, and policy makers because the narrative texts that circulate in our everyday lives are multimodal, tied to the ever-broadening range of narratives forms in digital sites of display. Here, we critically evaluate the place of multimodality and narratives in the language arts or English curriculum policies of two nations, the USA and Australia. In particular, we highlight the silence on multimodality within the Common Core State Standards, USA, and the contrasting centrality of multimodality in the National Curriculum: English, Australia.

“Well, hang on, they’re actually much better than that!” : disrupting dominant discourses of deficit about English language learners in senior high school English

This paper explores how four English teachers position their English language learners for critical literacy within senior high school curriculum in Queensland, Australia. Such learners are often positioned, even by their teachers, within a broader “deficit discourse” that claims they are inherently lacking the requisite knowledge and skills to engage with intransigent school curricula. As such, English language learners’ identity formation is often constrained by deficit views that can ultimately see limited kinds of literacy teaching offered to them. Using Fairclough’s (2003) critical discourse analysis method, analysis of 16 interviews with the teachers was conducted as part of a larger, critical instrumental case study in two state high schools during 2010. Five competing discourses were identified: deficit as lack; deficit as need; learner “difference” as a resource; conceptual capacity for critical literacy; and linguistic, cultural and conceptual difficulty with critical literacy. While a deficit view is present, counter-hegemonic discourses also exist in their talk. The combination of discourses challenges monolithic deficit views of English language learners, and opens up generative discursive territory to position English language learners in ways other than “problematic”. This has important implications for how teachers view and teach English language learners and their capacity for critical literacy work in senior high school classrooms.

Statistics at play

Three core components in developing children’s understanding and appreciation of data — establish a context, pose and answer statistical questions, represent and interpret data — lay the foundation for the fourth component: use data to enhance existing context.

Developing young students’ meta-representational competence through integrated mathematics and science investigations

This paper describes students’ developing meta-representational competence, drawn from the second phase of a longitudinal study, Transforming Children’s Mathematical and Scientific Development. A group of 21 highly able Grade 1 students was engaged in mathematics/science investigations as part of a data modelling program. A pedagogical approach focused on students’ interpretation of categorical and continuous data was implemented through researcher-directed weekly sessions over a 2-year period. Fine-grained analysis of the developmental features and explanations of their graphs showed that explicit pedagogical attention to conceptual differences between categorical and continuous data was critical to development of inferential reasoning.

English as identity formation

Literate practices and identities matter, those of both students and their teachers. There is considerable research exploring the discursive construction of students’ literacy practices and identities and the discursively mediated identities of literacy and English teachers. As Moje and Luke (2009) note, how identity is viewed influences and is influenced by the way literacy is viewed. Teachers’ literate identities and conceptualisations of literacy shape what counts as literacy in their classrooms, but also frame, shape and often limit students’ identities, both as readers and as writers (Hall, 2012).

Review of "English language education across Greater China"; edited by Anwei Feng

I formally learned English from Year Four until the completion of my undergraduate study in China. Because of this personal history, I was keen to review this book and revisit English education in China. The list of contributors to the book includes Anwei Feng (editor) and his colleagues, who play an insider role in English language practice, research, and policy-making in “Greater China”. Greater China according to Feng, can be defined as geographically close, demographically Chinese-dominated, and culturally, economically, and socio-politically interrelated countries and territories where Chinese is either the mother tongue or used as an official language.

Establishing statistical foundations early : data modeling with young learners

This paper addresses research from a three-year longitudinal study that engaged children in data modeling experiences from the beginning school year through to third year (6-8 years). A data modeling approach to statistical development differs in several ways from what is typically done in early classroom experiences with data. In particular, data modeling immerses children in problems that evolve from their own questions and reasoning, with core statistical foundations established early. These foundations include a focus on posing and refining statistical questions within and across contexts, structuring and representing data, making informal inferences, and developing conceptual, representational, and metarepresentational competence. Examples are presented of how young learners developed and sustained informal inferential reasoning and metarepresentational competence across the study to become “sophisticated statisticians”.

Structuring representations of continuous data through investigations in grade 1

The study of data modelling with elementary students involves the analysis of a developmental process beginning with children’s investigations of meaningful contexts: visualising, structuring, and representing data and displaying data in simple graphs (English, 2012; Lehrer & Schauble, 2005; Makar, Bakker, & Ben-Zvi, 2011). A 3-year longitudinal study investigated young children’s data modelling, integrating mathematical and scientific investigations. One aspect of this study involved a researcher-led teaching experiment with 21 mathematically able Grade 1 students. The study aimed to describe explicit developmental features of students’ representations of continuous data...

‘The struggle for welcome’ : valuing difference through refugee stories in the English Curriculum

This paper is concerned with how refugee stories can be used as the means of exploring values and developing intercultural understanding in the English classroom. To illustrate this possibility, André Dao’s (2005) Vuot Bien – The Search for Freedom: Huong Thi Nguen’s Story, about the impact of war and oppression on people’s lives, together with the experience of seeking freedom and acceptance in Australia as a Vietnamese refugee, is selected as the text for a Year 9 English class. In examining the features of this short story, we also consider how recent efforts to foster intercultural understanding in the new national curriculum in Australia might be advanced in the English classroom. We argue that this text and others in the genre of refugee narratives written by young people, provide vicarious opportunities to analyse how valuing freedom and having the courage to seek it can be brought to light when an individual survives one life and begins the challenges of creating a new life among strangers. Examining the values dimensions of such texts also allows young people to unpack and critique the ways in which cultural experiences, including their own, shape and form identities and how engaging with the experiences of others can be the vehicle for valuing difference. We hope our discussion might encourage teachers in other countries undergoing cultural shifts in response to the movements of people will be encouraged to consider this ‘double entendre’ in which the refugee experience is shaped not only by ‘the journey’ and also by ‘the arrival’ and the degree to which newcomers, refugee or asylum seekers, are made welcome by the receiving community.

Mathematical models of calcium and tight junctions in normal and reconstructed epidermis

This project investigated the calcium distributions of the skin, and the growth patterns of skin substitutes grown in the laboratory, using mathematical models. The research found that the calcium distribution in the upper layer of the skin is controlled by three different mechanisms, not one as previously thought. The research also suggests that tight junctions, which are adhesions between neighbouring skin cells, cannot be solely responsible for the differences in the growth patterns of skin substitutes and normal skin.

Learning through modelling in the primary years

Many nations are highlighting the need for a renaissance in the mathematical sciences as essential to the well-being of all citizens (e.g., Australian Academy of Science, 2006; 2010; The National Academies, 2009). Indeed, the first recommendation of The National Academies’ Rising Above the Storm (2007) was to vastly improve K–12 science and mathematics education. The subsequent report, Rising Above the Gathering Storm Two Years Later (2009), highlighted again the need to target mathematics and science from the earliest years of schooling: “It takes years or decades to build the capability to have a society that depends on science and technology . . . You need to generate the scientists and engineers, starting in elementary and middle school” (p. 9). Such pleas reflect the rapidly changing nature of problem solving and reasoning needed in today’s world, beyond the classroom. As The National Academies (2009) reported, “Today the problems are more complex than they were in the 1950s, and more global. They’ll require a new educated workforce, one that is more open, collaborative, and cross-disciplinary” (p. 19). The implications for the problem solving experiences we implement in schools are far-reaching. In this chapter, I consider problem solving and modelling in the primary school, beginning with the need to rethink the experiences we provide in the early years. I argue for a greater awareness of the learning potential of young children and the need to provide stimulating learning environments. I then focus on data modelling as a powerful means of advancing children’s statistical reasoning abilities, which they increasingly need as they navigate their data-drenched world.