Moral and social development: teachers’ knowledge of children’s learning and teaching strategies in the early years

The intention of the analysis in this paper was to determine, from interviews with 11 early years’ teachers, what informed their knowledge of children’s learning and teaching strategies regarding moral development. Overall, the analysis revealed four main categories: definitions of moral behaviour, understanding of children’s learning, pedagogy for moral learning, and the source of knowledge for moral pedagogy. Children’s learning was attributed by five of the teachers to incidental/contextual issues. Nine of the teachers reported using pedagogies that involved discussion of issues, in various contexts, as a way of teaching about social and moral issues. The majority of the teachers (n = 7) described the source of their knowledge of pedagogy as practical/observed as opposed to being theoretically informed. There was no clear relationship between teachers’ definitions, understanding of children’s learning, pedagogy or source of knowledge. These results suggests a strong need for the teaching of moral development to be given more prominence and addressed directly in in-service courses so that teachers are clear about their intentions and the most effective ways of achieving them.

Meeting under the “Omei” Tree in the Torres Strait Islands : networks and funds of knowledge of mathematical ideas

This paper focuses on the turning point experiences that worked to transform the researcher during a preliminary consultation process to seek permission to conduct of a small pilot project on one Torres Strait Island. The project aimed to learn from parents how they support their children in their mathematics learning. Drawing on a community research design, a consultative meeting was held with one Torres Strait Islander community to discuss the possibility of piloting a small project that focused on working with parents and children to learn about early mathematics processes. Preliminary data indicated that parents use networks in their community. It highlighted the funds of knowledge of mathematics that exist in the community and which are used to teach their children. Such knowledges are situated within a community’s unique histories, culture and the voices of the people. “Omei” tree means the Tree of Wisdom in the Island community.

Evaluation of the "reconceptualising early mathematics learning" project

The Pattern and Structure Mathematics Awareness Project (PASMAP) has investigated the development of patterning and early algebraic reasoning among 4 to 8 year olds over a series of related studies. We assert that an awareness of mathematical pattern and structure enables mathematical thinking and simple forms of generalisation from an early age. The project aims to promote a strong foundation for mathematical development by focusing on critical, underlying features of mathematics learning. This paper provides an overview of key aspects of the assessment and intervention, and analyses of the impact of PASMAP on students’ representation, abstraction and generalisation of mathematical ideas. A purposive sample of four large primary schools, two in Sydney and two in Brisbane, representing 316 students from diverse socio-economic and cultural contexts, participated in the evaluation throughout the 2009 school year and a follow-up assessment in 2010. Two different mathematics programs were implemented: in each school, two Kindergarten teachers implemented the PASMAP and another two implemented their regular program. The study shows that both groups of students made substantial gains on the ‘I Can Do Maths’ assessment and a Pattern and Structure Assessment (PASA) interview, but highly significant differences were found on the latter with PASMAP students outperforming the regular group on PASA scores. Qualitative analysis of students’ responses for structural development showed increased levels for the PASMAP students; those categorised as low ability developed improved structural responses over a relatively short period of time.

An instrument for assessing primary students’ knowledge of information graphics in mathematics

Information graphics have become increasingly important in representing, organising and analysing information in a technological age. In classroom contexts, information graphics are typically associated with graphs, maps and number lines. However, all students need to become competent with the broad range of graphics that they will encounter in mathematical situations. This paper provides a rationale for creating a test to measure students’ knowledge of graphics. This instrument can be used in mass testing and individual (in-depth) situations. Our analysis of the utility of this instrument informs policy and practice. The results provide an appreciation of the relative difficulty of different information graphics; and provide the capacity to benchmark information about students’ knowledge of graphics. The implications for practice include the need to support the development of students’ knowledge of graphics, the existence of gender differences, the role of cross-curriculum applications in learning about graphics, and the need to explicate the links among graphics.

Assessing the potential of mathematics textbooks to promote deep learning

Curriculum documents for mathematics emphasise the importance of promoting depth of knowledge rather than shallow coverage of the curriculum. In this paper, we report on a study that explored the analysis of junior secondary mathematics textbooks to assess their potential to assist in teaching and learning aimed at building and applying deep mathematical knowledge. The method of analysis involved the establishment of a set of specific curriculum goals and associated indicators, based on research into the teaching and learning of a particular field within the mathematics curriculum, namely proportion and proportional reasoning. Topic selection was due to its pervasive nature throughout the school mathematics curriculum at this level. As a result of this study, it was found that the five textbook series examined provided limited support for the development of multiplicative structures required for proportional reasoning, and hence would not serve well the development of deep learning of mathematics. The study demonstrated a method that could be applied to the analysis of junior secondary mathematics in many parts of the world.

Preparing engineering graduates for the knowledge economy through blended delivery of mathematics

Contemporary higher education institutions are making significant efforts to develop cohesive, meaningful and effective learning experiences for Science, Technology, Engineering and Mathematics (STEM) curricula to prepare graduates for challenges in the modern knowledge economy, thus enhancing their employability (Carnevale et al, 2011). This can inspire innovative redesign of learning experiences embedded in technology-enhanced educational environments and the development of research-informed, pedagogically reliable strategies fostering interactions between various agents of the learning-teaching process. This paper reports on the results of a project aimed at enhancing students’ learning experiences by redesigning a large, first year mathematics unit for Engineering students at a large metropolitan public university. Within the project, the current study investigates the effectiveness of selected, technology-mediated pedagogical approaches used over three semesters. Grounded in user-centred instructional design, the pedagogical approaches explored the opportunities for learning created by designing an environment containing technological, social and educational affordances. A qualitative analysis of mixed-type questionnaires distributed to students indicated important inter-relations between participants’ frames of references of the learning-teaching process and stressed the importance (and difficulty) of creating appropriate functional context. Conclusions drawn from this study may inform instructional design for blended delivery of STEM-focused programs that endeavor to enhance students’ employability by educating work-ready graduates.

The Impact of Experiential Learning in Enhancing Palliative Care Knowledge and Skills among Nurses

Nurses working in community settings are increasingly required to care for people with chronic, life limiting conditions. Innovative educational programs are required to ensure nurses are equipped to deal with this challenging area of practice. The Program of Experience in the Palliative Approach (PEPA) started in 2003 as an initiative of the Australian Government, Department of Health and Ageing. The overall aim of PEPA is to improve the quality, availability and access to palliative care for people who are dying, and their families, by improving the skills and expertise of health practitioners, and enhancing collaboration between primary and specialist palliative care services. PEPA provides nurses with an opportunity to develop knowledge and skills in the palliative approach to care through funded clinical workforce placements or workshops.

Determinants of knowledge transfer and learning in hybrid public private alliances

This paper uses the case study of a hybrid public-private strategic alliance as data to complement and contrast with the traditional views on knowledge transfer and learning between alliance partners. In particular, the paper explores whether the concept of competitive collaboration conceptualized by Hamel (1991) in his seminal work holds true for all forms of strategic alliances. Conceptualizing the knowledge boundaries of organisations in alliances as a ‘collaborative membrane’, we focus attention on the permeability of these boundaries rather than the actual location of the boundaries. In this vein, we present a case study of a major public sector organization that illustrates how these principles have allowed it to start rebuilding its internal capabilities adopting a more collaborative stance and ensuring their knowledge boundaries are highly porous as they move more major projects into hybrid public private alliance contracts.

Surveying theories and philosophies of mathematics education

Any theory of thinking or teaching or learning rests on an underlying philosophy of knowledge. Mathematics education is situated at the nexus of two fields of inquiry, namely mathematics and education. However, numerous other disciplines interact with these two fields which compound the complexity of developing theories that define mathematics education. We first address the issue of clarifying a philosophy of mathematics education before attempting to answer whether theories of mathematics education are constructible? In doing so we draw on the foundational writings of Lincoln and Guba (1994), in which they clearly posit that any discipline within education, in our case mathematics education, needs to clarify for itself the following questions: (1) What is reality? Or what is the nature of the world around us? (2) How do we go about knowing the world around us? [the methodological question, which presents possibilities to various disciplines to develop methodological paradigms] and, (3) How can we be certain in the “truth” of what we know? [the epistemological question]

Moral and social development : teachers’ knowledge of learning and teaching strategies in the early years

The intention of the analysis in this paper was to determine, from interviews with eleven early years’ teachers, what knowledge guided their teaching of moral behaviour. Six of the teachers defined moral behaviour in terms of social conventions only. Children’s learning was attributed by five of the teachers to incidental/contextual issues. Nine of the teachers used discussion of issues, in various contexts, as a way of teaching about social and moral issues. The majority of the teachers (n=7) gave the source of their knowledge of pedagogy as practical as opposed to theoretically informed. There was no clear relationship between their definitions, understanding of children’s learning, pedagogy or source of knowledge. Most of the teachers were using discussion, negotiation and reflection to develop the children’s moral and social behaviour. This is probably effective; however, it suggests a strong need for teaching of moral development to be given more prominence and addressed directly in in-service courses so that teachers are clear about their intentions and the most effective ways of achieving them.

A conceptual model of capability learning for the 21st century knowledge economy

This chapter proposes a conceptual model for optimal development of needed capabilities for the contemporary knowledge economy. We commence by outlining key capability requirements of the 21st century knowledge economy, distinguishing these from those suited to the earlier stages of the knowledge economy. We then discuss the extent to which higher education currently caters to these requirements and then put forward a new model for effective knowledge economy capability learning. The core of this model is the development of an adaptive and adaptable career identity, which is created through a reflective process of career self-management, drawing upon data from the self and the world of work. In turn, career identity drives the individual’s process of skill and knowledge acquisition, including deep disciplinary knowledge. The professional capability learning thus acquired includes disciplinary skill and knowledge sets, generic skills, and also skills for the knowledge economy, including disciplinary agility, social network capability, and enterprise skills. In the final part of this chapter, we envision higher education systems that embrace the model, and suggest steps that could be taken toward making the development of knowledge economy capabilities an integral part of the university experience.

Beyond knowledge : an insight into the practice of a learning support teacher

Increasingly, schools are being asked to meet the challenges of providing inclusive classrooms for all children. Inclusion is no longer about special education for a special group of students. It is about school improvement in order to bring about the changes that are needed to classroom practices to ensure the improvement of student learning outcomes. Inclusion is no longer a policy initiative. Rather it has been transformed to become a process that moves a school towards inclusive practices that will result in school improvement, heightened student learning outcomes and greater opportunities for all students to gain equal access to education. This study focuses on the challenge of diversity as it translates into implementing inclusive practices across two secondary school contexts. I have undertaken this research in my role as a Learning Support Teacher over a period of five years. Central to my research is a constructivist ontology and a practice epistemology that aligns with a practitioner research methodology of action research. Seven generalisable propositions have emerged from this research that inform the strategies I am using to more easily accommodate legislated inclusivitiy. These propositions include: 1. School communities need to share a common understanding of equity. 2. The school principal must provide overt leadership in moving towards an inclusive school culture. 3. A whole-school approach is needed to narrow the gap between inclusion rhetoric and classroom practice. 4. Pedagogical reform is the most effective strategy for catering for diverse student learning needs. 5. Differentiating curriculum is achieved when collaborative planning teams develop appropriate units of work. 6. School communities need to make a commitment to gather, share and manage relevant information concerning students. 7. The Learning Support Teacher needs to be repositioned within a curriculum planning team.

Reconceptualizing Early Mathematics Learning : The Fundamental Role of Pattern and Structure

The Pattern and Structure Mathematics Awareness Program (PASMAP) was developed concurrently with the studies of AMPS and the development of the Pattern and Structure Assessment (PASA) interview. We summarize some early classroom-based teaching studies and describe the PASMAP that resulted. A large-scale two-year longitudinal study, Reconceptualizing Early Mathematics Learning (REML) resulted. We provide an overview of the REML study and discuss the consequences for our view of early mathematics learning. A purposive sample of four large primary schools, two in Sydney and two in Brisbane, representing 316 students from diverse socio-economic and cultural contexts, participated in an evaluation of the PASMAP intervention throughout the 2009 school year and a follow-up assessment in 2010. Two different mathematics programs were implemented: in each school, two Kindergarten teachers implemented the PASMAP and another two implemented their regular program. The study shows that both groups of students made substantial gains on the ‘I Can Do Maths’ standardized assessment and the PASA interview, but highly significant differences were found on the latter with PASMAP students outperforming the regular group on PASA scores. Qualitative analysis of students’ responses for structural development showed increased levels for the PASMAP students. Implications for pedagogy and curriculum are discussed.