789 resultados para Knowledge of mathematics learning


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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.

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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.

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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]

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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.

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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.

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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.

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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.

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The Accelerating the Mathematics Learning of Low Socio-Economic Status Junior Secondary Students project aims to address the issues faced by very underperforming mathematics students as they enter high school. Its aim is to accelerate learning of mathematics through a vertical curriculum to enable students to access Year 10 mathematics subjects, thus improving life chances. This paper reports upon the theory underpinning this project and illustrates it with examples of the curriculum that has been designed to achieve acceleration.

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The Thailand education reform adopted cooperative learning to improve the quality of education. However, it has been reported that the introduction and maintenance of cooperative learning has been difficult and uncertain because of the cultural differences. The study proposed a conceptual framework developed based on making a connection between Thai cultures and cooperative learning elements, and implemented a small-scale research project in a Thai primary mathematics class with a teacher and thirty-two Grade 4 students. The results uncovered that the three components including preparation of teachers, instructional strategies and preparation of students can be vehicles for the culture integration in cooperative learning.

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This paper focuses on a pilot study that explored the situated mathematical knowledge of mothers and children in one Torres Strait Islander community in Australia. The community encouraged parental involvement in their children’s learning and schooling. The study explored parents’ understandings of mathematics and how their children came to learn about it on the island. A funds of knowledge approach was used in the study. This approach is based on the premise that people are competent and have knowledge that has been historically and culturally accumulated into a body of knowledge and skills essential for their functioning and well-being (Moll, 1992). The participants, three adults and one child are featured in this paper. Three separate events are described with epiphanic or illuminative moments analysed to ascertain the features that enabled an understanding of the nature of the mathematical events. The study found that Indigenous ways of knowing of mathematics were deeply embedded in rich cultural practices that were tied to the community. This finding has implications for teachers of children in the early years. Where school mathematics is often presented as disembodied and isolated facts with children seeing little relevance, learning a different perspective of mathematics that is tied to the resources and practices of children’s lives and facilitated through social relationships, may go a long way to improving the engagement of children and their parents in learning and schooling.

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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 (AMPS) enables mathematical thinking and simple forms of generalization from an early age. This paper provides an overview of key findings of the Reconceptualizing Early Mathematics Learning empirical evaluation study involving 316 Kindergarten students from 4 schools. The study found highly significant differences on PASA scores for PASMAP students. Analysis of structural development showed increased levels for the PASMAP students; those categorised as low ability developed improved structural responses over a short period of time.

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Conceptions of learning, as well as other associated aspects of prior knowledge, are theoretically important factors in influencing the manner in which the content and context of learning are engaged. The present study reports on: (a) the operationalisation of some of these factors aimed at isolating sources of explanatory variation that can be used for modelling purposes; and (b) a conservative exploration of the discriminatory power of, and exhibited patterns of association between, such sources of variation as have been isolated. Based on a conservative analytical approach, the results of the present study do not support a single clearly defined empirical model of conceptions of learning and associated constructs. Instead, there is consistent evidence that underlying empirical structures appear to be sensitive to the response context and other factors.

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This paper explores in-service primary teachers' views and beliefs about culture, learning, teaching and knowledge. Fifty Bachelor of Education in-service primary teachers at a university in Fiji participated in the study. The analysis reveals a mix of old and new beliefs about culture, learning teaching and knowledge. The influence of globalization of technology is a contributing factor towards changing views. To keep the indigenous epistemologies alive and valued like the Western epistemologies, more effort is needed to integrate these in formal education. This has implications for the future professional preparation of pre-service and in-service teachers.