Middle school melding: liaising primary-to-secondary transition

Discusses the transition from primary to secondary education in relation to mathematics. Discusses how to minimise the disruption and maximise the communication between, and effective outcomes for both levels of schooling, to help the students, while easing the professional demands placed on teachers.

VELS versus CSF : replacement, conflict or harmony?

Sometimes VELS (Victorian Essential Learning Standards) is confusing. Part of the problem is that it is available only on-line as a web-browse-able collection of internet web pages. It is broadly true that the mathematics curriculum described by the Mathematics VELS is equivalent to curriculum described by the Mathematics CSF (Curriculum and Standards Framework).

Preparing students for a world which is global in its outlook and influences: the rhetoric, reality and response

The imperative for schools and teachers to understand and teach with a global perspective has been reiterated in Victoria recently with the release of the Victorian Curriculum Reform Consultation Paper (VCAA, 2004). This paper states that, "the purposes of schooling are to prepare students for a world which is global in its outlook and influences." (p.4).

The introductory paragraphs of selected states' and territories' Studies of Society and Environment (SOSE) curriculum statements include and reiterate 'global' in the rationale for teaching and learning. Teaching in SOSE is charged with responsibility for incorporating 'global' into classroom practice. What is the role and place of SOSE in this teaching and how can SOSE teachers be better equipped to teach in a time of internationalisation and globalisation? Are teachers prepared to meet this challenge?

This paper will position the importance of teachers' lived experiences, their capacity to reflect upon these experiences, to their preparedness and competency in teaching 'global education' both within a SOSE classroom and beyond. How can personal critical reflection sharpen the focus for teaching in and to this global world? What are the place of narrative and the lived experiences of teachers in sharpening this focus? The data for this paper is drawn from a self study of the author who is studying a Masters by Research and teaches Social Education and Education Studies at Deakin University.

The paper argues that pedagogy around teaching global education in the classroom cannot be isolated from the teacher's identities, background experiences, which influence and shape their approaches to teaching in a global education curriculum. The methodology in teaching global education needs to be further aligned to teacher narratives and the lived experiences of teachers in order to link local, national and global domains.

The paper will describe how teaching for a 'world which is global in outlook and influences' can be researched by examining a selection of personal stories and lived experiences. The paper will conclude with a draft framework of global education that acknowledges reflection on lived experiences and narratives.

Who owns pedagogy? (Re)locating pedagogy and pedagogical content knowledge

This paper draws upon a study in Victoria, Australia which investigated pedagogical understandings and practices specific to three domains: Science, Thinking and ICT. Teachers working in these three domains and key stakeholders from the profession participated in focus group and individual interviews. This study explored the pedagogical knowledge particular to each of these three domains, and common pedagogical knowledges across the domains. Participants in each domain claimed the distinctive nature of their domain and therefore the distinctive nature of their pedagogical content knowledge (PCK). A final common thread was the identification of teacher strategies as a substantial part of pedagogy. The key issues arising from this study are the implications of ascribing pedagogy to particular disciplines and the future possibilities for a curriculum reform agenda within a regressive pedagogical climate.

Ongoing colonial legacy : contemporary education beliefs and practices in Papua New Guinea

In the late 1980ˇ¦s, a realisation that the western education system bequeathed to Papua New Guinea at the time of Independence had functioned to devalue and marginalise many of the traditional beliefs, knowledge and skills students brought with them to education, led to a period of significant education reform. The Reform was premised on the report of a Ministerial Review Committee called A Philosophy of Education. This report made recommendations about how education in Papua New Guinea could respond to the issues and challenges this nation faced as it sought to chart a course to serve the needs of its citizens on its own terms. The issues associated with managing and implementing institutionalised educational change premised on importing western values and practices are a central theme of this thesis. The impact of importing foreign curriculum and associated curriculum officers and consultants to assist with curriculum change and development in the former Language and Literacy unit of the Curriculum Development Division, is considered in three related sections of this report: „P a critical review of the imported educational system and related practices and related issues since Independence „P narrative report of the experience of two colleagues in western education „P evidential research based on curriculum Reform in the Language and Literacy Unit. How Papua New Guinea has sought to come to terms with the issues and challenges that arose in response to a practice of importing western curriculum both at the time of Independence and currently through the Reform, are explored throughout the thesis. The findings issues reveal much about the capacity of individuals and institutions to respond to a post-colonial world particularly associated with an ongoing colonial legacy in the principle researcherˇ¦s work context. The thesis argues that the challenges Papua New Guinea curriculum officers face today, as they manage and implement changes associated with another imported curriculum are caught up in existing power relations. These power relations function to stifle creative thinking at a time when it is most needed. Further, these power relations are not well understood by the curriculum officers and remained hidden and unquestioned throughout the research project. The thesis also argues that in the researcherˇ¦s work context, techniques of surveillance were brought to bear and functioned to curtail critical thinking about how the reformed curriculum could be sensitive and respectful of those beliefs and traditions that had sustained life in Papua New Guinea for thousands of years. Consequently, many outmoded beliefs and practices associated with an uncritical and ongoing acceptance of the superiority of western imports have been retained, thereby effectively denying the collective voices of Paua New Guineans in the current curriculum Reform.

The principles of learning and teaching (PoLT)

In Victoria, Australia, under the Blueprint agenda, The Principles of Learning and Teaching (Department of Education and Training, 2005) are being used to operationalise pedagogical change and curriculum renewal. The University of Melbourne is one of the three contracted providers and in 2005 and 2006 has supported 450 teachers from state, independent and special schools in Victoria and 70 teachers in Singapore. The paper outlines the workings of the model and illustrates how through a deeper and renewed focus on pedagogy schools are being asked to examine and change their practice for all students. One benefit of the initiative is that special schools are an integral part of the cluster network and are reconsidering their role in school renewal and systems transformation more broadly. However the regime of pedagogical renewal must be understood as part of the past and the present, multiple transgressions and intense struggles in reform practices more broadly. None the least being the persistent stratification of schooling into special and regular in the Victorian context and professional learning being constructed as weak professional socialization. Working visually and reading intertextually undoing some of the problematics of the implementation process the challenges of system wide professional learning and curriculum reform are exposed.

Cultivating teachers' knowledge and skills for leading change in schools

Australian policy initiatives and state curriculum reform efforts affirm a commitment to address student disengagement through the development of inclusive school environments, curriculum, and pedagogy. This paper, drawing on critical social theory, describes three Australian projects that support the cultivation of teachers’ beliefs, knowledge and skills for critical reflection and leading change in schools. The first project reports on the valued ethics that emerged in pre-service teacher reflections about a Service-learning Program at a university in Queensland. The second project reports on a school-based collaborative inquiry approach to professional development with a focus on literacy practices. The final project reports on an initiative in another university in Victoria, to operationalise pedagogical change and curriculum renewal in Victoria, through the Principles of Learning and Teaching (PoLT). These case studies illustrate how critical reflection and development of beliefs, knowledge and skills can be acquired to better meet the needs of schools.

Student researchers in the middle : using visual images to make sense of inclusive education

Using ‘visual narrative’ theoretically and practically, this paper explores issues of inclusive education, during a period of curriculum reform and renewal in Australia. In Australia, the middle years of schooling, Years 5 to 9, are well researched and known as a period when students disengage with learning and participation in schooling. Research in the middle years affirms the importance of engaging with ‘student voice’. In this special edition, we are aiming to highlight how the use of visual imagery can be a rich source of understanding, illustrating students’ self-knowledge of schooling. Methodologically we refer to our research approach as ‘visual narrative’. Other writers in this edition use the term ‘photo voice’. For researchers it is important to highlight the differing orientations that ‘visual narrative’ and ‘photo voice’ signify. The terms are not mutually exclusive but highlight differing research possibilities and emphasis. Our argument, through the use of visual narrative produced by middle years’ students, is that visual texts open out some innovative possibilities for understanding inclusive education and supporting new relationships with our research community. Such approaches are not new; however, in a field such as special education that purports to support marginalised groups, liberatory research methods are under-represented. This paper aims to open out these discussions and provide a way forwards for teachers and researchers interested in breaking apart why it is that inclusive education remains a never-ending struggle.

Glimpses of generative practice : constructing pre-service teachers' learning in partnership

In this paper, the authors describe a program to enhance pre-service teachers' mathematical and pedagogical knowledge through a partnership with middle years teachers and learners in a primary school. The authors wanted to investigate how pre-service teachers' experience of teaching mathematics could enhance both their knowledge of mathematics and the development of generative practices. The findings have inspired the development of similar partnerships with other primary schools.

Activating teacher critical moments of learning through reflection

Mathematical modelling is one of the current focuses in the Singapore Mathematics Curriculum Framework. A multi-tiered teaching experiment using design research methodology was conducted to build teachers’ capacity in designing, facilitating, and evaluating learning during mathematical modelling tasks for Primary 5 students (aged 10-11). This paper illustrates the use of the retrospective analysis phase within design research cycles to activate a critical moment of teacher learning involving the interplay between questioning and listening during her first attempt at facilitating a mathematical modelling task. The teacher affirmed her deliberate focuses in the use of questions to (a) refine students’ models, (b) encourage articulation of student ideas in self-evaluation of the models, and (c) clarify and understand student reasoning. However, she also discovered the importance of interpretative listening in conjunction with questioning to promote more sophisticated mathematisation processes in model development. Implications from the use of the retrospective analysis phase on activating critical moments of learning during teacher education will be discussed.

Assessment of primary 5 students' mathematical modelling competencies

 Mathematical modelling is increasingly becoming part of an instructional approach deemed to develop students with competencies to function as 21st century learners and problem solvers. As mathematical modelling is a relatively new domain in the Singapore primary school mathematics curriculum, many teachers may not be aware of the learning outcomes and competencies needed to develop in their students during mathematical modelling. This paper reports on the assessment of two groups of Primary 5 students’ (aged 11) mathematical modelling competencies in their first attempt in completing a modelling task. The students’ competencies are assessed to be at levels 1 and 2 of a researcher-designed rubric. Findings appear to suggest that students faced particular challenges in formulating a mathematical problem from the real-world problem through making assumptions. Implications on teacher education on the facilitation of problem formulation and mathematisation during mathematical modelling at the primary level are drawn.

Developing teacher competencies through videos for facilitation of mathematical modelling in Singapore primary schools

Mathematical modelling tasks which are situated in real-world contexts encourage students to draw connections between school-based mathematics and the real-world, enhancing their engagement in learning. Such tasks often require varied interpretations of the real-world problem context resulting in multiple pathways of solutions. Although mathematical modelling has been introduced in the Singapore mathematics curriculum since 2007, its incorporation in schools has been limited. One reason for this could be that teachers are challenged by how best to facilitate for rich student mathematisation processes during such tasks. This chapter reports how a multi-tiered teaching experiment using design research methodology was conducted to build teachers’ capacity in designing, facilitating, and evaluating student mathematisation during mathematical modelling tasks with an intact class of Primary 5 students (aged 10-11). The use of videos was critical because grounded images helped capture the dynamics and complexity of authentic classroom interactions. This chapter highlights how video recordings of teacher-student interactions during a modelling task were harnessed during design methodology cycles, particularly during the Retrospective Analysis phase, to activate critical moments of learning for the teacher towards developing her competencies in facilitating students’ mathematisation processes.

A framework for primary teachers’ perceptions of mathematical reasoning

Mathematical reasoning has been emphasised as one of the key proficiencies for mathematics in the Australian curriculum since 2011 and in the Canadian curriculum since 2007. This study explores primary teachers’ perceptions of mathematical reasoning at a time of further curriculum change. Twenty-four primary teachers from Canada and Australia were interviewed after engagement in the first stage of the Mathematical Reasoning Professional Learning Program incorporating demonstration lessons focused on reasoning conducted in their schools. Phenomenographic analysis of interview transcripts exploring variation in the perceptions of mathematical reasoning held by these teachers revealed seven categories of description based on four dimensions of variation. The categories delineate the different perceptions of mathematical reasoning expressed by the participants of this study. The resulting outcome space establishes a framework that facilitates tracking of growth in primary teachers’ awareness of aspects of mathematical reasoning.

Educação e cidadania: um estudo sobre os fundamentos filosóficos que orientam a formação para a cidadania nos Parâmetros Curriculares Nacionais

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Um estudo sobre sequências e séries

Pós-graduação em Matemática em Rede Nacional - IBILCE