El desarrollo de la competencia docente “mirar profesionalmente” la enseñanza-aprendizaje de las matemáticas

Este artículo se inserta en la línea de reflexión en educación matemática centrada en caracterizar y desarrollar la competencia docente “mirar profesionalmente” la enseñanza-aprendizaje de las matemáticas como una componente de la práctica profesional del profesor de matemáticas. Un ejemplo procedente de un curso de formación inicial de profesores nos permite caracterizar su significado. En este trabajo se argumenta que el desarrollo de esta competencia docente se apoya en la relación dialéctica entre el conocimiento de matemáticas para la enseñanza (MKT) y el discurso generado en la resolución de tareas profesionales. Finalmente se describen algunas características de los entornos de aprendizaje en los programas de formación de profesores dirigidos a fomentar el desarrollo de esta relación dialéctica.

A model of teacher professional development based on the principles of lesson study

The researcher’s professional role as an Education Officer was the impetus for this study. Designing and implementing professional development activities is a significant component of the researcher’s position description and as a result of reflection and feedback from participants and colleagues, the creation of a more effective model of professional development became the focus for this study. Few studies have examined all three links between the purposes of professional development that is, increasing teacher knowledge, improving teacher practice, and improving student outcomes. This study is significant in that it investigates the nature of the growth of teachers who participated in a model of professional development which was based upon the principles of Lesson Study. The research provides qualitative and empirical data to establish some links between teacher knowledge, teacher practice, and student learning outcomes. Teacher knowledge in this study refers to mathematics content knowledge as well as pedagogical-content knowledge. The outcomes for students include achievement outcomes, attitudinal outcomes, and behavioural outcomes. As the study was conducted at one school-site, existence proof research was the focus of the methodology and data collection. Developing over the 2007 school year, with five teacher-participants and approximately 160 students from Year Levels 6 to 9, the Lesson Study-principled model of professional development provided the teacher-participants with on-site, on-going, and reflective learning based on their classroom environment. The focus area for the professional development was strategising the engagement with and solution of worded mathematics problems. A design experiment was used to develop the professional development as an intervention of prevailing teacher practice for which data were collected prior to and after the period of intervention. A model of teacher change was developed as an underpinning framework for the development of the study, and was useful in making decisions about data collection and analyses. Data sources consisted of questionnaires, pre-tests and post-tests, interviews, and researcher observations and field notes. The data clearly showed that: content knowledge and pedagogical-content knowledge were increased among the teacher-participants; teacher practice changed in a positive manner; and that a majority of students demonstrated improved learning outcomes. The positive changes to teacher practice are described in this study as the demonstrated use of mixed pedagogical practices rather than a polarisation to either traditional pedagogical practices or contemporary pedagogical practices. The improvement in student learning outcomes was most significant as improved achievement outcomes as indicated by the comparison of pre-test and post-test scores. The effectiveness of the Lesson Study-principled model of professional development used in this study was evaluated using Guskey’s (2005) Five Levels of Professional Development Evaluation.

The impact of outcomes-driven curriculum reform on teacher perspectives of professional practice

This thesis is the result of an investigation of a Queensland example of curriculum reform based on outcomes, a type of reform common to many parts of the world during the last decade. The purpose of the investigation was to determine the impact of outcomes on teacher perspectives of professional practice. The focus was chosen to permit investigation not only of changes in behaviour resulting from the reform but also of teachers' attitudes and beliefs developed during implementation. The study is based on qualitative methodology, chosen because of its suitability for the investigation of attitudes and perspectives. The study exploits the researcher's opportunities for prolonged, direct contact with groups of teachers through the selection of an over-arching ethnography approach, an approach designed to capture the holistic nature of the reform and to contextualise the data within a broad perspective. The selection of grounded theory as a basis for data analysis reflects the open nature of this inquiry and demonstrates the study's constructivist assumptions about the production of knowledge. The study also constitutes a multi-site case study by virtue of the choice of three individual school sites as objects to be studied and to form the basis of the report. Three primary school sites administered by Brisbane Catholic Education were chosen as the focus of data collection. Data were collected from three school sites as teachers engaged in the first year of implementation of Student Performance Standards, the Queensland version of English outcomes based on the current English syllabus. Teachers' experience of outcomes-driven curriculum reform was studied by means of group interviews conducted at individual school sites over a period of fourteen months, researcher observations and the collection of artefacts such as report cards. Analysis of data followed grounded theory guidelines based on a system of coding. Though classification systems were not generated prior to data analysis, the labelling of categories called on standard, non-idiosyncratic terminology and analytic frames and concepts from existing literature wherever practicable in order to permit possible comparisons with other related research. Data from school sites were examined individually and then combined to determine teacher understandings of the reform, changes that have been made to practice and teacher responses to these changes in terms of their perspectives of professionalism. Teachers in the study understood the reform as primarily an accountability mechanism. Though teachers demonstrated some acceptance of the intentions of the reform, their responses to its conceptualisation, supporting documentation and implications for changing work practices were generally characterised by reduced confidence, anger and frustration. Though the impact of outcomes-based curriculum reform must be interpreted through the inter-relationships of a broad range of elements which comprise teachers' work and their attitudes towards their work, it is proposed that the substantive findings of the study can be understood in terms of four broad themes. First, when the conceptual design of outcomes did not serve teachers' accountability requirements and outcomes were perceived to be expressed in unfamiliar technical language, most teachers in the study lost faith in the value of the reform and lost confidence in their own abilities to understand or implement it. Second, this reduction of confidence was intensified when the scope of outcomes was outside the scope of the teachers' existing curriculum and assessment planning and teachers were confronted with the necessity to include aspects of syllabuses or school programs which they had previously omitted because of a lack of understanding or appreciation. The corollary was that outcomes promoted greater syllabus fidelity when frameworks were closely aligned. Third, other benefits the teachers associated with outcomes included the development of whole school curriculum resources and greater opportunity for teacher collaboration, particularly among schools. The teachers, however, considered a wide range of factors when determining the overall impact of the reform, and perceived a number of them in terms of the costs of implementation. These included the emergence of ethical dilemmas concerning relationships with students, colleagues and parents, reduced individual autonomy, particularly with regard to the selection of valued curriculum content and intensification of workload with the capacity to erode the relationships with students which teachers strongly associated with the rewards of their profession. Finally, in banding together at the school level to resist aspects of implementation, some teachers showed growing awareness of a collective authority capable of being exercised in response to top-down reform. These findings imply that Student Performance Standards require review and, additional implementation resourcing to support teachers through times of reduced confidence in their own abilities. Outcomes prove an effective means of high-fidelity syllabus implementation, and, provided they are expressed in an accessible way and aligned with syllabus frameworks and terminology, should be considered for inclusion in future syllabuses across a range of learning areas. The study also identifies a range of unintended consequences of outcomes-based curriculum and acknowledges the complexity of relationships among all the aspects of teachers' work. It also notes that the impact of reform on teacher perspectives of professional practice may alter teacher-teacher and school-system relationships in ways that have the potential to influence the effectiveness of future curriculum reform.

Professional practice research : ensuring teacher development through a critical approach to professional learning

Currently the development of a national system for the ongoing enhancement of teacher professionalism across Australia is underway. The initiative led by Australian Institute of Teaching and School Leadership (AITSL) on behalf of the Ministerial Council for Education, Early Childhood Development and Youth Affairs (now SCSEEC) is progressing rapidly with a finalised set of Professional Standards for Teachers and a set of Professional Standards for Principals approved by Ministers in 2011. It is clear that there is an inextricable link between the newly proposed professional standards and the professional education of teachers and principals across Australia. Further, it is imperative that the education sector will need to work in a unified manner through ongoing consultations to ensure the standards truly reflect what teachers and principals desire of the profession, in terms of teacher preparation, professional learning and training, and professional recognition.

Teachers' professional learning within communities of mathematics-for-teaching practice

Ontario bansho is an emergent mathematics instructional strategy used by teachers working within communities of practice that has been deemed to have a transformational effect on teachers' professional learning of mathematics. This study sought to answer the following question: How does teachers' implementation of Ontario bansho within their communities of practice inform their professional learning process concerning mathematics-for-teaching? Two other key questions also guided the study: What processes support teachers' professional learning of content-for-teaching? What conditions support teachers' professional learning of content-for-teaching? The study followed an interpretive phenomenological approach to collect data using a purposive sampling of teachers as participants. The researcher conducted interviews and followed an interpretive approach to data analysis to investigate how teachers construct meaning and create interpretations through their social interactions. The study developed a model of professional learning made up of 3 processes, informing with resources, engaging with students, and visualizing and schematizing in which the participants engaged and 2 conditions, ownership and community that supported the 3 processes. The 3 processes occur in ways that are complex, recursive, nonpredictable, and contextual. This model provides a framework for facilitators and leaders to plan for effective, content-relevant professional learning by placing teachers, students, and their learning at the heart of professional learning.

Cognitive processes associated with the professional development of Mathematics teacher. 'Procesos cognitivos asociados al desarrollo profesional del profesor de Matem??ticas'

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A way forward to managing the transition to professional practice for beginning teachers

The high attrition rate of beginning teachers in Australia and overseas is well-documented. This trend is easily understood as many beginning teachers enter the profession with little support or mentoring (Department of Education, Science and Training (DEST), 2002; Herrington & Herrington, 2004; Ramsey, 2000). Continual calls for more comprehensive approaches to teacher induction in which universities and employing bodies share the responsibilities of the transition to professional practice (House of Representatives Standing Committee on Education and Vocational Training, 2007) have, to date, largely been ignored. This paper reports on a trial project conducted at a university in south-east Queensland, Australia that addresses these shortfalls. The aim of the project is to facilitate and support the development of high quality teachers and teaching through an extended model of teacher preparation. The model comprises a 1+2 program of formal teacher preparation: a one-year teacher education course (the Graduate Diploma in Education), followed by a comprehensive two year program of workplace induction and ongoing professional learning tailored to meet graduate and employer needs. This paper reports on graduating students’ perceptions of their preparedness to teach as they transition from the Graduate Diploma in Education program to professional practice. The study concludes that innovative programs, including university-linked, ongoing professional learning support for teacher education graduates, may provide the way forward for enhancing the transition to practice for beginning teachers.

A way forward to managing the transition to professional practice for beginning teachers

The high attrition rate of beginning teachers in Australia and overseas is well-documented. This trend is easily understood as many beginning teachers enter the profession with little support or mentoring (Department of Education, Science and Training (DEST), 2002; Herrington & Herrington, 2004; Ramsey, 2000). Continual calls for more comprehensive approaches to teacher induction in which universities and employing bodies share the responsibilities of the transition to professional practice (House of Representatives Standing Committee on Education and Vocational Training, 2007) have, to date, largely been ignored. This paper reports on a trial project conducted at a university in south-east Queensland, Australia that addresses these shortfalls. The aim of the project is to facilitate and support the development of high quality teachers and teaching through an extended model of teacher preparation. The model comprises a 1+2 program of formal teacher preparation: a one-year teacher education course (the Graduate Diploma in Education), followed by a comprehensive two year program of workplace induction and ongoing professional learning tailored to meet graduate and employer needs. This paper reports on graduating students’ perceptions of their preparedness to teach as they transition from the Graduate Diploma in Education program to professional practice. The study concludes that innovative programs, including university-linked, ongoing professional learning support for teacher education graduates, may provide the way forward for enhancing the transition to practice for beginning teachers.

“Heroic victims”: Discursive constructions of early childhood teacher professional identities

Significant changes to qualification requirements for staff working in early childhood contexts are occurring globally. A key reform in Australia is a call for teachers in prior to school early childhood contexts to be university-qualified. The “universal access” strategy (Department of Education, Employment of Workplace Relations [DEEWR], 2009a, 2009b; Rudd & Macklin, 2007b) requires four-year qualified early childhood teachers who are prepared to work in child care contexts. Yet studies in identify that cohorts of preservice teachers resist child care as a career option (see Ailwood & Boyd, 2006; Gibson, 2013a; Vadja, 2005a, 2005b). It is this point of tension that has prompted further inquiry into child care and work in child care, and forms the basis for this paper.

Becoming a teacher: emerging teacher identity in mathematics teacher education

This research examines three aspects of becoming a teacher, teacher identity formation in mathematics teacher education: the cognitive and affective aspect, the image of an ideal teacher directing the developmental process, and as an on-going process. The formation of emerging teacher identity was approached in a social psychological framework, in which individual development takes place in social interaction with the context through various experiences. Formation of teacher identity is seen as a dynamic, on-going developmental process, in which an individual intentionally aspires after the ideal image of being a teacher by developing his/her own competence as a teacher. The starting-point was that it is possible to examine formation of teacher identity through conceptualisation of observations that the individual and others have about teacher identity in different situations. The research uses the qualitative case study approach to formation of emerging teacher identity, the individual developmental process and the socially constructed image of an ideal mathematics teacher. Two student cases, John and Mary, and the collective case of teacher educators representing socially shared views of becoming and being a mathematics teacher are presented. The development of each student was examined based on three semi-structured interviews supplemented with written products. The data-gathering took place during the 2005 2006 academic year. The collective case about the ideal image provided during the programme was composed of separate case displays of each teacher educator, which were mainly based on semi-structured interviews in spring term 2006. The intentions and aims set for students were of special interest in the interviews with teacher educators. The interview data was analysed following the modified idea of analytic induction. The formation of teacher identity is elaborated through three themes emerging from theoretical considerations and the cases. First, the profile of one s present state as a teacher may be scrutinised through separate affective and cognitive aspects associated with the teaching profession. The differences between individuals arise through dif-ferent emphasis on these aspects. Similarly, the socially constructed image of an ideal teacher may be profiled through a combination of aspects associated with the teaching profession. Second, the ideal image directing the individual developmental process is the level at which individual and social processes meet. Third, formation of teacher identity is about becoming a teacher both in the eyes of the individual self as well as of others in the context. It is a challenge in academic mathematics teacher education to support the various cognitive and affective aspects associated with being a teacher in a way that being a professional and further development could have a coherent starting-point that an individual can internalise.

Rethinking connectedness : an investigation into the access of teacher professional learning in regional and remote Western Australia

Many teachers working in remote and regional areas have limited access to collegial support networks. This research aimed to examine the existing strategies that were being undertaken by the Department of Education in Western Australia, to provide professional learning to teachers in regional and remote areas. It was important to establish the perceptions of teachers’ access to professional learning from those working at the coalface in geographically dispersed areas. Consequently, the possible opportunity for improving the amount and variety of professional learning, through the application of both synchronous and asynchronous technologies was proposed. The study was guided by the primary research question: “In what ways might technology be used to support professional development of regional and remote teachers in Western Australia?” Generating descriptions of current practice of professional learning along with the teacher perceptions were central to this research endeavour. The study relied on a mixed method research approach in order to attend to the research question. The data were collected in phases, referred to as an explanatory mixed methods design. Quantitative data were collected from 104 participants to provide a general picture of the research problem. To further refine this general picture, qualitative data were collected through interviews and e-interviews of 10 teachers. Participants in the study included graduate teachers, teachers who had taught more than two years, senior teachers and Level Three teachers from seven teaching districts within Western Australia. An investigation into current practice was included in this phase and technologies available to support a professional learning community over distance were documented. The final phase incorporated the formulation of a conceptual framework where a model was developed to facilitate the successful implementation of a professional learning community through the application of synchronous and asynchronous technologies. The study has identified that travel time in order to access professional development is significant and impacts on teachers’ personal time. There are limited relief teachers available in these isolated areas which impacts on the opportunities to access professional development. Teachers face inequities, in terms of promotion, because professional development is explicitly linked to promotional opportunities. Importantly, it was found that professional learning communities are valued, but are often limited by small staff numbers at the geographic locality of the school. Teachers preferred to undertake professional learning in the local context of their district, school or classroom and this professional learning must be established at the need of the individual teacher in line with the school priorities. Teachers reported they were confident in using technology and accessing professional development online if required, however, much uncertainty surrounded the use of web 2.0 technologies for this purpose. The recommendations made from the study are intended to identify how a professional learning community might be enhanced through synchronous and asynchronous technologies.

Teacher professional growth in an authentic learning environment

The last several decades have been marked by tremendous changes in education - technological, pedagogical, administrative, and social. These changes have led to considerable increments in the budgets devoted to professional development for teachers ~ with the express purpose of helping them accommodate their practices to the new realities oftheir classrooms. However, research has suggested that, in spite of the emphasis placed on encouraging sustained change in teaching practices, little has been accomplished. This begs the question of what ought to be done to not only reverse this outcome, but contribute to transformational change. The literature suggests some possibilities including: a) considering teachers as learners and applying what, is known about cognition and learning; b) modifying the location and nature ofprofessional development so that it is authentic, based in the classroom and focusing on tasks meaningful to the teacher; c) attending to the infrastructure underlying professional development; and d) ensuring opportunities for reflective practice. This dissertation looks at the impact of each ofthese variables through an analysis ofthe learning journeys of a group ofteachers engaged in a program called GrassRoots in one midsized school board in Ontario. Action research was conducted by the researcher in his role as consultant facilitating teacher professional growth around the use of Web sites as culminating performance tasks by students. Research focused on the pedagogical approach to the learning of the teachers involved and the infrastructure underlying their learning. Using grounded theory, a model for professional development was developed that can be used in the future to inform practices and, hopefully, lead to sustained transformational school change.

The (new ?) basics of a teacher professional learning community

This paper argues for the need to further theorise the concept of teacher professional learning communities and provides empirical evidence to support this case. The paper presents findings from an ongoing research project, which investigates the nature of teacher professional learning communities. The study reveals that actual communities do not conform to a normailized articulation of features, as outlined in much of the literature on this topic. Consequently, it represents an attempt to engage in the difficult but necessary task of simultaneously fashioning theory from practice, whilst interpreting theory, in practice. The study proposes that current functionalist understandings of teacher professional learning communities are based upon a literature base which is insufficiently nuanced to capture the complexity inherent within these bodies. A broader base of a more critical sociological literature is also drawn upon to better understand actual, "lived" teacher communities, which are somewhat difficult to describe. In part, such communities exhibit features of functionalist conceptions but they are also organic entities which may be quite unpredictable in their outcomes and cannot be reduced to specific features; they each have their own specific "logic of practice" (Bourdieu, 1990) which influences their activities, in their particular field. The argument proposed here is that in one particular community, this complexity may be represented by the many purposes which the community served, arguably often unbeknown to its members, which fashioned the actual community. This paper tries to add to the existing theoretical base of literature, at the same time as providing evidence to support this theorisation.