An online community of practice for pre-service and beginning teachers of secondary mathematics

The aim of this study was to investigate how a community of practice focused on learning to teach secondary mathematics was created and sustained by pre-service and beginning teachers. Bulletin board discussions of one pre-service cohort are analysed in terms of Wenger’s (1998) three defining features of a community of practice: mutual engagement, joint enterprise, and a shared repertoire. The study shows that the emergent design of the community contributed to its sustainability in allowing the pre-service teachers to define their own professional goals and values. Sustainability was also related to how the participants expanded, transformed, and maintained the community during the pre-service program and after graduation.

Examining current provision, practice and experience of initial teacher training providers in Ireland preparing pre service teachers for the inclusion of students with special education needs in physical education classes.

Research from an international perspective in relation to the preparation of pre service teachers in physical education and special educational needs indicates that initial teacher training providers are inconsistent in the amount of time spent addressing the issue and the nature of curricular content (Vickerman, 2007). In Ireland, research of Meegan and MacPhail (2005) and Crawford (2011) indicates that physical education teachers do not feel adequately prepared to accommodate students with Special Educational Needs (SEN) in physical education classes. This study examined initial teacher training provision in Ireland in the training of pre service physical education teachers in SEN. The methodology used was qualitative and included questionnaires and interviews (n=4). Findings indicated that time allocation (semester long modules), working with children with disabilities in mainstream settings (school or leisure centre based), lack of collaboration with other PETE providers (n=4) and a need for continued professional development were themes in need of address. Using a combined approach where the recently designed European Inclusive Physical Education Training (Kudlácěk, Jesina, & Flanagan, 2010) model is infused through the undergraduate degree programme is proposed. Further, the accommodation of hands on experience for undergraduates in mainstream settings and the establishment of inter institutional communities of practice, with a national disability research initiative, is essential to ensure quality adapted physical activity training can be accommodated throughout Ireland.

A Jaworskian analysis of four senior class primary teachers endeavouring to teach mathematics from a constructivist-compatible perspective

A constructivist philosophy underlies the Irish primary mathematics curriculum. As constructivism is a theory of learning its implications for teaching need to be addressed. This study explores the experiences of four senior class primary teachers as they endeavour to teach mathematics from a constructivist-compatible perspective with primary school children in Ireland over a school-year period. Such a perspective implies that children should take ownership of their learning while working in groups on tasks which challenge them at their zone of proximal development. The key question on which the research is based is: to what extent will an exposure to constructivism and its implications for the classroom impact on teaching practices within the senior primary mathematics classroom in both the short and longer term? Although several perspectives on constructivism have evolved (von Glaserfeld (1995), Cobb and Yackel (1996), Ernest (1991,1998)), it is the synthesis of the emergent perspective which becomes pivotal to the Irish primary mathematics curriculum. Tracking the development of four primary teachers in a professional learning initiative involving constructivist-compatible approaches necessitated the use of Borko’s (2004) Phase 1 research methodology to account for the evolution in teachers’ understanding of constructivism. Teachers’ and pupils’ viewpoints were recorded using both audio and video technology. Teachers were interviewed at the beginning and end of the project and also one year on to ascertain how their views had evolved. Pupils were interviewed at the end of the project only. The data were analysed from a Jaworskian perspective i.e. using the categories of her Teaching Triad of management of learning, mathematical challenge and sensitivity to students. Management of learning concerns how the teacher organises her classroom to maximise learning opportunities for pupils. Mathematical challenge is reminiscent of the Vygotskian (1978) construct of the zone of proximal development. Sensitivity to students involves a consciousness on the part of the teacher as to how pupils are progressing with a mathematical task and whether or not to intervene to scaffold their learning. Through this analysis a synthesis of the teachers’ interpretations of constructivist philosophy with concomitant implications for theory, policy and practice emerges. The study identifies strategies for teachers wishing to adopt a constructivist-compatible approach to their work. Like O’Shea (2009) it also highlights the likely difficulties to be experienced by such teachers as they move from utilising teacher-dominated methods of teaching mathematics to ones in which pupils have more ownership over their learning.

Perspectives of Teachers Regarding the Integration of Mathematics and Science at the Secondary School Level

The integration of mathematics and science in secondary schools in the 21st century continues to be an important topic of practice and research. The purpose of my research study, which builds on studies by Frykholm and Glasson (2005) and Berlin and White (2010), is to explore the potential constraints and benefits of integrating mathematics and science in Ontario secondary schools based on the perspectives of in-service and pre-service teachers with various math and/or science backgrounds. A qualitative and quantitative research design with an exploratory approach was used. The qualitative data was collected from a sample of 12 in-service teachers with various math and/or science backgrounds recruited from two school boards in Eastern Ontario. The quantitative and some qualitative data was collected from a sample of 81 pre-service teachers from the Queen’s University Bachelor of Education (B.Ed) program. Semi-structured interviews were conducted with the in-service teachers while a survey and a focus group was conducted with the pre-service teachers. Once the data was collected, the qualitative data were abductively analyzed. For the quantitative data, descriptive and inferential statistics (one-way ANOVAs and Pearson Chi Square analyses) were calculated to examine perspectives of teachers regardless of teaching background and to compare groups of teachers based on teaching background. The findings of this study suggest that in-service and pre-service teachers have a positive attitude towards the integration of math and science and view it as valuable to student learning and success. The pre-service teachers viewed the integration as easy and did not express concerns to this integration. On the other hand, the in-service teachers highlighted concerns and challenges such as resources, scheduling, and time constraints. My results illustrate when teachers perceive it is valuable to integrate math and science and which aspects of the classroom benefit best from the integration. Furthermore, the results highlight barriers and possible solutions to better the integration of math and science. In addition to the benefits and constraints of integration, my results illustrate why some teachers may opt out of integrating math and science and the different strategies teachers have incorporated to integrate math and science in their classroom.

Authentic and conventional assessment in Singapore schools : an empirical study of teacher assignments and student work

This is an empirical examination of the quality of teacher assignments and student work in Singapore schools. Using a theoretical framework based on principles of authentic assessment and intellectual quality, two sets of criteria and scoring rubrics were developed for the training of expert teachers to judge the quality of assignments and student work. Following rigorous training, the inter-rater reliability of expert teacher scoring was high. Samples of teacher assignments and student work were collected in English, social studies, mathematics, and science subject areas from a random stratified sample of 30 elementary schools and 29 high schools. For both grade levels, there were significant differences for the authentic intellectual quality of teachers’ assignments by subject area. Likewise, the differences of authentic intellectual quality for student work were significant and varied by subject area. Subject area effect was large. The correlations between the quality of teachers’ assignment tasks and student work were strong and significant at both grade levels. Where teachers set more intellectually demanding tasks, students were more likely to generate work or artefacts judged to be of higher quality. The findings suggest that teacher professional development in authentic intellectual assessment task design can contribute to the improvement of student learning and performance. It is argued that this will be a key requisite of educational systems like Singapore that are seeking to expand pedagogy and student outcomes beyond a focus on factual and rote knowledge.

Mentoring preservice teachers in primary mathematics

A literature-based instrument gathered data about 147 final-year preservice teachers’ perceptions of their mentors’ practices related to primary mathematics teaching. Five factors characterized effective mentoring practices in primary mathematics teaching had acceptable Cronbach alphas, that is, Personal Attributes (mean scale score=3.97, SD [standard deviation]=0.81), System Requirements (mean scale score=2.98, SD=0.96), Pedagogical Knowledge (mean scale score=3.61, SD=0.89), Modelling (mean scale score=4.03, SD=0.73), and Feedback (mean scale score=3.80, SD=0.86) were .91, .74, .94, .89, and .86 respectively. Qualitative data (n=44) investigated mentors’ perceptions of mentoring these preservice teachers, including identification of successful mentoring practices and ways to enhance practices.

Teachers reporting suspected child sexual abuse : results of a three-state study

Over 3000 cases of child sexual abuse are identified every year in Australia, but the real incidence is higher still. As a strategy to identify child sexual abuse, Australian States and Territories have enacted legislation requiring members of selected professions, including teachers, to report suspected cases. In addition, policy-based reporting obligations have been developed by professions, including the teaching profession. These legislative and industry-based developments have occurred in a context of growing awareness of the incidence and consequences of child sexual abuse. Teachers have frequent contact and close relationships with children, and possess expertise in monitoring changes in children’s behaviour. Accordingly, teachers are seen as being well-placed to detect and report suspected child sexual abuse. To date, however, there has been little empirical research into the operation of these reporting duties. The extent of teachers’ awareness of their duties to report child sexual abuse is unknown. Further, there is little evidence about teachers’ past reporting practice. Teachers’ duties to report sexual abuse, especially those in legislation, differ between States, and it is not known whether or how these differences affect reporting practice. This article presents results from the first large-scale Australian survey of teachers in three States with different reporting laws: New South Wales, Queensland, and Western Australia. The results indicate levels of teacher knowledge of reporting duties, reveal evidence about past reporting practice, and provide insights into anticipated future reporting practice and legal compliance. The findings have implications for reform of legislation and policy, training of teachers about the reporting of child sexual abuse, and enhancement of child protection.

Teachers reporting child sexual abuse : towards evidence-based reform of law, policy and practice

This report presents the results of the largest study ever conducted into the law, policy and practice of primary school teachers’ reporting of child sexual abuse in New South Wales, Queensland and Western Australia. The study included the largest Australian survey of teachers about reporting sexual abuse, in both government and non-government schools (n=470). Our research has produced evidence-based findings to enhance law, policy and practice about teachers’ reporting of child sexual abuse. The major benefits of our findings and recommendations are to: • Show how the legislation in each State can be improved; • Show how the policies in government and non-government school sectors can be improved; and • Show how teacher training can be improved. These improvements can enhance the already valuable contribution that teachers are making to identify cases of child sexual abuse. Based on the findings of our research, this report proposes solutions to issues in seven key areas of law, policy and practice. These solutions are relevant for State Parliaments, government and non-government educational authorities, and child protection departments. The solutions in each State are practicable, low-cost, and align with current government policy approaches. Implementing these solutions will: • protect more children from sexual abuse; • save cost to governments and society; • develop a professional teacher workforce better equipped for their child protection role; and • protect government and school authorities from legal liability.

An evaluation of the pattern and structure mathematics awareness program in the early school years

This paper reports a 2-year longitudinal study on the effectiveness of the Pattern and Structure Mathematical Awareness Program (PASMAP) on students’ mathematical development. The study involved 316 Kindergarten students in 17 classes from four schools in Sydney and Brisbane. The development of the PASA assessment interview and scale are presented. The intervention program provided explicit instruction in mathematical pattern and structure that enhanced the development of students’ spatial structuring, multiplicative reasoning, and emergent generalisations. This paper presents the initial findings of the impact of the PASMAP and illustrates students’ structural development.

The challenges of preparing pre-service teachers to embrace a digital pedagogy

The need for pre-service teachers to be proficient in the use of information and communication technologies (ICT) in the classroom once they graduate is essential, though this process is not a straightforward process (Zhang, 2008) and needs to go beyond pre-service teachers just being able to use ICT. Research suggests that for teachers to successfully use ICT in their classrooms they need to be specifically trained to do so (Markauskaite, 2007; Batane, 2004; Jacobsen, Clifford & Friesen, 2002). Pre-service teachers must also be able to embrace and use new and emerging ICT’s, often referred to as digital technologies, within their pedagogical approaches to teaching and learning. According to UNESCO, these “new technologies require new teacher roles, new pedagogies, and new approaches to teacher training” (2008, p.9). However, new approaches to teacher training have moved very slowly in many areas and preparing pre-service teachers to develop proficiency in embracing a digital pedagogy within their own classrooms can be a challenge for teacher training institutes. This paper reports on a case study of first year education students (N=667) and their experiences during their first semester of pre-service teacher education in a core ICT unit. It will report on the background ICT knowledge and skills that these students bring to the course as well as their expectations of the unit and ICT in their future teaching. The paper will then draw on the research results to identify challenges facing teacher training of pre-service teachers in using digital technologies in their future classrooms.

The continuing decline of science and mathematics enrolments in Australian high schools

Is there a crisis in Australian science and mathematics education? Declining enrolments in upper secondary Science and Mathematics courses have gained much attention from the media, politicians and high-profile scientists over the last few years, yet there is no consensus amongst stakeholders about either the nature or the magnitude of the changes. We have collected raw enrolment data from the education departments of each of the Australian states and territories from 1992 to 2012 and analysed the trends for Biology, Chemistry, Physics, two composite subject groups (Earth Sciences and Multidisciplinary Sciences), as well as entry, intermediate and advanced Mathematics. The results of these analyses are discussed in terms of participation rates, raw enrolments and gender balance. We have found that the total number of students in Year 12 increased by around 16% from 1992 to 2012 while the participation rates for most Science and Mathematics subjects, as a proportion of the total Year 12 cohort, fell (Biology (-10%), Chemistry (-5%), Physics (-7%), Multidisciplinary Science (-5%), intermediate Mathematics (-11%), advanced Mathematics (-7%) in the same period. There were increased participation rates in Earth Sciences (+0.3%) and entry Mathematics (+11%). In each case the greatest rates of change occurred prior to 2001 and have been slower and steadier since. We propose that the broadening of curriculum offerings, further driven by students' self-perception of ability and perceptions of subject difficulty and usefulness, are the most likely cause of the changes in participation. While these continuing declines may not amount to a crisis, there is undoubtedly serious cause for concern.

Challenges confronting career-changing beginning teachers : a qualitative study of professional scientists becoming science teachers

Recruitment of highly qualified science and mathematics graduates has become a widespread strategy to enhance the quality of education in the field of STEM. However, attrition rates are very high suggesting preservice education programs are not preparing them well for the career change. We analyse the experiences of professionals who are scientists and have decided to change careers to become teachers. The study followed a group of professionals who undertook a one-year preservice teacher education course and were employed by secondary schools on graduation. We examined these teachers’ experiences through the lens of self-determination theory, which posits autonomy, confidence and relatedness are important in achieving job satisfaction. The findings indicated that the successful teachers were able to achieve a sense of autonomy and confidence, and, in particular, had established strong relationships with colleagues. However, the unique challenges facing career-change professionals were often overlooked by administrators and colleagues. Opportunities to build a sense of relatedness in their new profession were often absent. The failure to establish supportive relationships was decisive in some teachers leaving the profession. The findings have implications for both pre-service and professional inservice programs and the role that administrators play in supporting career-change teachers.

Digital revolution or digital divide: Will rural teachers get a piece of the professional development pie?

In order to sustain the rural education community, access to high quality professional development opportunities must become a priority. Teachers in rural areas face many challenges in order to access professional learning equitable to their city counterparts. In the current climate, the Federal government of Australia is committed to initiatives that support the use of ICT in education. These include initiatives such as the Digital Education Revolution, including the National Broadband Network. This "revolution" includes the committal of $2.2 billion funding over six years from 2008 - 2013 which purports to bring substantial and meaningful change to teaching and learning in Australian schools. Of this funding, the Prime Minister (former Minister for Education), Julia Gillard, has committed $40 million of the total budget to ICT related professional development for teachers. But how will rural teachers ensure they get a piece of the PD pie? Access to professional learning is critical and isolation from colleagues, professional associations and support structures can affect the retention of teachers and in turn affect the sustainability of rural communities. This research paper describes the findings of the first phase of a study that investigates access to professional learning from rural and remote areas of Western Australia, the efficiencies of this approach including teacher perceptions and possible opportunities for improvement through the application of technologies. A survey instrument was administered and the results from104 principals and teachers within the Remote Teaching Service and the Country Teaching Program of the Department of Education and Training (WA) are discussed. Qualitative data was collected by semi-structured interviews and emailed questionnaires. Phase One findings highlight the principals and teachers? perceptions of their access to professional development opportunities, professional learning communities and their use of information and communication technologies (ICT) to bridge the gap