Secondary teachers’ conceptions of teaching and learning

This paper presents a phenomenographic analysis of the conceptions of teaching and learning held by a sample of 16 secondary school teachers in two Australian schools. It provides descriptions of four categories, derived from pooled data, of the ways in which these teachers thought about teaching and about learning, their teaching strategies, and their focus on student or content. The categories for teaching and learning are described with each teacher allocated to the category most typical of their conceptions of teaching and of learning. The lack of congruence, in some cases, between the conceptions of teaching and of learning held by these teachers is discussed.

Chlamydial infection and spatial ascension of the female genital tract : a novel hybrid cellular automata and continuum mathematical model

Sexually transmitted chlamydial infection initially establishes in the endocervix in females, but if the infection ascends the genital tract, significant disease, including infertility, can result. Many of the mechanisms associated with chlamydial infection kinetics and disease ascension are unknown. We attempt to elucidate some of these processes by developing a novel mathematical model, using a cellular automata–partial differential equation model. We matched our model outputs to experimental data of chlamydial infection of the guinea-pig cervix and carried out sensitivity analyses to determine the relative influence of model parameters. We found that the rate of recruitment and action of innate immune cells to clear extracellular chlamydial particles and the rate of passive movement of chlamydial particles are the dominant factors in determining the early course of infection, magnitude of the peak chlamydial time course and the time of the peak. The rate of passive movement was found to be the most important factor in determining whether infection would ascend to the upper genital tract. This study highlights the importance of early innate immunity in the control of chlamydial infection and the significance of motility-diffusive properties and the adaptive immune response in the magnitude of infection and in its ascension.

Group metacognition during mathematical problem solving

Although various studies have shown that groups are more productive than individuals in complex mathematical problem solving, not all groups work together cooperatively. This review highlights that addressing organisational and cognitive factors to help scaffold group mathematical problem solving is necessary but not sufficient. Successful group problem solving also needs to incorporate metacognitive factors in order for groups to reflect on the organisational and cognitive factors influencing their group mathematical problem solving.

Promoting interdisciplinarity through mathematical modelling

This article presents one approach to addressing the important issue of interdisciplinarity in the primary school mathematics curriculum, namely, through realistic mathematical modelling problems. Such problems draw upon other disciplines for their contexts and data. The article initially considers the nature of modelling with complex systems and discusses how such experiences differ from existing problem-solving activities in the primary mathematics curriculum. Principles for designing interdisciplinary modelling problems are then addressed, with reference to two mathematical modelling problems— one based in the scientific domain and the other in the literary domain. Examples of the models children have created in solving these problems follow. A reflection on the differences in the diversity and sophistication of these models raises issues regarding the design of interdisciplinary modelling problems. The article concludes with suggested opportunities for generating multidisciplinary projects within the regular mathematics curriculum.

Scaffolding students’ thinking in mathematical investigations

This article describes some of the issues that teachers might encounter when scaffolding students’ thinking during mathematical investigations. It describes four episodes where a teacher’s scaffolding failed to support students’ mathematical thinking and explores the reasons why the scaffolding was ineffective. Understanding what is ineffective and why is one way to improve pedagogical practice. As a background to these episodes, we first provide an overview of the mathematical investigation. Our paper concludes with some recommendations for judicious scaffolding during investigations.

Mixing colours: An ICT tool based on a semiotic framework for mathematical meaning-makng about ratio and fractions

This paper reports on the research and development of an ICT tool to facilitate the learning of ratio and fractions by adult prisoners. The design of the ICT tool was informed by a semiotic framework for mathematical meaning-making. The ICT tool thus employed multiple semiotic resources including topological, typological, and social-actional resources. The results showed that individual semiotic resource could only represent part of the mathematical concept, while at the same time it might signify something else to create a misconception. When multiple semiotic resources were utilised the mathematical ideas could be better learnt.

Mathematical models for describing the shape of the in vitro unstretched human crystalline lens

We developed orthogonal least-squares techniques for fitting crystalline lens shapes, and used the bootstrap method to determine uncertainties associated with the estimated vertex radii of curvature and asphericities of five different models. Three existing models were investigated including one that uses two separate conics for the anterior and posterior surfaces, and two whole lens models based on a modulated hyperbolic cosine function and on a generalized conic function. Two new models were proposed including one that uses two interdependent conics and a polynomial based whole lens model. The models were used to describe the in vitro shape for a data set of twenty human lenses with ages 7–82 years. The two-conic-surface model (7 mm zone diameter) and the interdependent surfaces model had significantly lower merit functions than the other three models for the data set, indicating that most likely they can describe human lens shape over a wide age range better than the other models (although with the two-conic-surfaces model being unable to describe the lens equatorial region). Considerable differences were found between some models regarding estimates of radii of curvature and surface asphericities. The hyperbolic cosine model and the new polynomial based whole lens model had the best precision in determining the radii of curvature and surface asphericities across the five considered models. Most models found significant increase in anterior, but not posterior, radius of curvature with age. Most models found a wide scatter of asphericities, but with the asphericities usually being positive and not significantly related to age. As the interdependent surfaces model had lower merit function than three whole lens models, there is further scope to develop an accurate model of the complete shape of human lenses of all ages. The results highlight the continued difficulty in selecting an appropriate model for the crystalline lens shape.

Conceptions of school based youth health nursing : a phenomenographic study

The School Based Youth Health Nurse Program was established in 1999 by the Queensland Government to fund school nurse positions in Queensland state high schools. Schools were required to apply for a School Based Youth Health Nurse during a five-phase recruitment process, managed by the health districts, and rolled out over four years. The only mandatory selection criterion for the position of School Based Youth Health Nurse was registration as a General Nurse and most School Based Youth Health Nurses are allocated to two state high schools. Currently, there are approximately 115 Full Time Equivalent School Based Youth Health Nurse positions across all Queensland state high schools. The literature review revealed an abundance of information about school nursing. Most of the literature came from the United Kingdom and the United States, who have a different model of school nursing to school based youth health nursing. However, there is literature to suggest school nursing is gradually moving from a disease-focused approach to a social view of health. The noticeable number of articles about, for example, drug and alcohol, mental health, and contemporary sexual health issues, is evidence of this change. Additionally, there is a significant the volume of literature about partnerships and collaboration, much of which is about health education, team teaching and how school nurses and schools do health business together. The surfacing of this literature is a good indication that school nursing is aligning with the broader national health priority areas. More particularly, the literature exposed a small but relevant and current body of research, predominantly from Queensland, about school based youth health nursing. However, there remain significant gaps in the knowledge about school based youth health nursing. In particular, there is a deficit about how School Based Youth Heath Nurses understand the experience of school based youth health nursing. This research aimed to reveal the meaning of the experience of school based youth health nursing. The research question was How do School Based Youth Health Nurses’ understand the experience of school based youth health nursing? This enquiry was instigated because the researcher, who had a positive experience of school based youth health nursing, considered it important to validate other School Based Youth Health Nurses’ experiences. Consequently, a comprehensive use of qualitative research was considered the most appropriate manner to explore this research question. Within this qualitative paradigm, the research framework consists of the epistemology of social constructionism, the theoretical perspective of interpretivism and the approach of phenomenography. After ethical approval was gained, purposeful and snowball sampling was used to recruit a sample of 16 participants. In-depth interviews, which were voluntary, confidential and anonymous, were mostly conducted in public venues and lasted from 40-75 minutes. The researcher also kept a researchers journal as another form of data collection. Data analysis was guided by Dahlgren and Fallsbergs’ (1991, p. 152) seven phases of data analysis which includes familiarization, condensation, comparison, grouping, articulating, labelling and contrasting. The most important finding in this research is the outcome space, which represents the entirety of the experience of school based youth health nursing. The outcome space consists of two components: inside the school environment and outside the school environment. Metaphorically and considered as whole-in-themselves, these two components are not discreet but intertwined with each other. The outcome space consists of eight categories. Each category of description is comprised of several sub-categories of description but as a whole, is a conception of school based youth health nursing. The eight conceptions of school based youth health nursing are: 1. The conception of school based youth health nursing as out there all by yourself. 2. The conception of school based youth health nursing as no real backup. 3. The conception of school based youth health nursing as confronted by many barriers. 4. The conception of school based youth health nursing as hectic and full-on. 5. The conception of school based youth health nursing as working together. 6. The conception of school based youth health nursing as belonging to school. 7. The conception of school based youth health nursing as treated the same as others. 8. The conception of school based youth health nursing as the reason it’s all worthwhile. These eight conceptions of school based youth health nursing are logically related and form a staged hierarchical relationship because they are not equally dependent on each other. The conceptions of school based youth health nursing are grouped according to negative, negative and positive and positive conceptions of school based youth health nursing. The conceptions of school based youth health nursing build on each other, from the bottom upwards, to reach the authorized, or the most desired, conception of school based youth health nursing. This research adds to the knowledge about school nursing in general but especially about school based youth health nursing specifically. Furthermore, this research has operational and strategic implications, highlighted in the negative conceptions of school based youth health nursing, for the School Based Youth Health Nurse Program. The researcher suggests the School Based Youth Health Nurse Program, as a priority, address the operational issues The researcher recommends a range of actions to tackle issues and problems associated with accommodation and information, consultations and referral pathways, confidentiality, health promotion and education, professional development, line management and School Based Youth Health Nurse Program support and school management and community. Strategically, the researcher proposes a variety of actions to address strategic issues, such as the School Based Youth Health Nurse Program vision, model and policy and practice framework, recruitment and retention rates and evaluation. Additionally, the researcher believes the findings of this research have the capacity to spawn a myriad of future research projects. The researcher has identified the most important areas for future research as confidentiality, information, qualifications and health outcomes.

Mixing colours : an ICT tool based on a semiotic framework for mathematical meaning-making about ratio and fractions

This paper reports on the research and development of an ICT tool to facilitate the learning of ratio and fractions by adult prisoners. The design of the ICT tool was informed by a semiotic framework for mathematical meaning-making. The ICT tool thus employed multiple semiotic resources including topological, typological, and social-actional resources. The results showed that individual semiotic resource could only represent part of the mathematical concept, while at the same time it might signify something else to create a misconception. When multiple semiotic resources were utilised the mathematical ideas could be better learnt.

Conceptions of learning held by upper primary children in government schools in Brunei Darussalam

The current study examined the conceptions of learning held by upper primary children in government schools in Brunei. Previous studies have shown that the conceptions of learning held by students influence the ways in which they approach learning tasks and, in turn, impact on their learning outcomes. However, the majority of these studies were carried out with university and secondary school students, with little research involving primary school children. A phenomenographic research approach was used to describe the qualitatively different ways in which a group of sixteen upper primary children experienced learning in two government schools in Brunei. Data were gathered using scenariobased semi]structured interviews. Iterative cycles of analysis revealed three categories of description depicting three qualitatively different ways in which the children experienced the phenomenon. The three categories of description were: learning as acquiring information (Category 1), learning as remembering information (Category 2) and learning as doing hands]on activities (Category 3). These categories indicate a variation in the ways in which upper primary children experience learning in government schools in Brunei. The conceptions of learning held by the children provide a platform from which educators and policy]makers can consider possibilities for meaningful learning in government schools in Brunei.