Implementing a Pattern and Structure Mathematics Awareness Program (PASMAP) in kindergarten

This paper provides an interim report of a large empirical evaluation study in progress. An intervention was implemented to evaluate the effectiveness of the Pattern and Structure Mathematical Awareness Program (PASMAP) on Kindergarten students’ mathematical development. Four large schools (two from Sydney and two from Brisbane), 16 teachers and their 316 students participated in the first phase of a 2-year longitudinal study. Eight of 16 classes implemented the PASMAP program over three school terms. This paper provides an overview of key aspects of the intervention, and preliminary analysis of the impact of PASMAP on students’ representation, abstraction and generalisation of mathematical ideas.

Standards-driven reform years 1-10 : moderation an optional extra?

While externally moderated standards-based assessment has been practised in Queensland senior schooling for more than three decades, there has been no such practice in the middle years. With the introduction of standards at state and national levels in these years, teacher judgement as developed in moderation practices is now vital. This paper argues, that in this context of assessment reform, standards intended to inform teacher judgement and to build assessment capacity are necessary but not sufficient for maintaining teacher and public confidence in schooling. Teacher judgement is intrinsic to moderation, and to professional practice, and can no longer remain private. Moderation too is intrinsic to efforts by the profession to realise judgements that are defensible, dependable and open to scrutiny. Moderation can no longer be considered an optional extra and requires system-level support especially if, as intended, the standards are linked to system-wide efforts to improve student learning. In presenting this argument we draw on an Australian Research Council funded study with key industry partners (the Queensland Studies Authority and the National Council for Curriculum and Assessment of the Republic of Ireland). The data analysed included teacher interview data and additional teacher talk during moderation sessions. These were undertaken during the initial phase of policy development. The analysis identified those issues that emerge in moderation meetings that are designed to reach consistent, reliable judgements. Of interest are the different ways in which teachers talked through and interacted with one another to reach agreement about the quality of student work in the application of standards. There is evidence of differences in the way that teachers made compensations and trade-offs in their award of grades, dependent on the subject domain in which they teach. This article concludes with some empirically derived insights into moderation practices as policy and social events.

Culture-fair assessment : challenging Indigenous students through effortful mathematics teaching

This paper reports on a mathematics education research project centred on teachers’ pedagogical practices and capacity to assess Indigenous Australian students in a culture-fair manner. The project has been funded by the Australian Research Council Linkage program and is being conducted in seven Catholic and Independent primary schools in north Queensland. Our Industry Partners are Catholic Education and the Association of Independent Schools, Queensland. The study aims to provide greater understanding about how to build more equitable assessment practices to address the issue of underperforming Aboriginal and Torres Strait Islander (ATSI) students in regional and remote Australia. The goal is to identify ways forward by attending to culture-fair assessment practice. The research is exploring the attitudes, beliefs and responses of Indigenous students to assessment in the context of mathematics learning with particular focus on teacher knowledge in these educational settings in relation to the design of assessment tasks that are authentic and engaging for these students in an accountability context. This approach highlights how teachers need to distinguish the ‘funds of knowledge’ (González, Moll, Floyd Tenery, Rivera, Rendón, Gonzales & Amanti, 2008) that Indigenous students draw on and how teachers need to be culturally responsive in their pedagogy to open up curriculum and assessment practice to allow for different ways of knowing and being

Assessment reform and educational change in Australia

This chapter addresses the changing climate of assessment policy and practice in Australia in response to global trends in education and the mounting accountability demands of standards-driven reform. Queensland, a State of Australia, has a tradition of respecting and trusting teacher judgment through the practice of, and policy commitment to, externally moderated school-based assessment. This chapter outlines the global trends in curriculum and assessment reform, and then analyzes the impact of international comparisons on national policy. The creation of the Australian Curriculum, Assessment and Reporting Authority (ACARA) together with the intent of establishing a standards-referenced framework raises tensions and challenges for teachers’ practice. The argument for sustaining confidence in teacher-based assessment is developed with reference to research evidence pertaining to the use of more authentic assessments and moderation practices for the purposes of improving learning, equity and accountability. Evidence is drawn from local studies of teacher judgment practice and used to demonstrate these developments and in so doing illuminate the complex issues of engaging the demands of policy while sustaining confidence in teacher assessment.

Direct instruction in mathematics : issues for schools with high Indigenous enrolments : a literature review

Direct instruction, an approach that is becoming familiar to Queensland schools that have high Aboriginal and Torres Strait Islander populations, has been gaining substantial political and popular support in the United States of America [USA], England and Australia. Recent examples include the No Child Left Behind policy in the USA, the British National Numeracy Strategy and in Australia, Effective Third Wave Intervention Strategies. Direct instruction, stems directly from the model created in the 1960s under a Project Follow Through grant. It has been defined as a comprehensive system of education involving all aspects of instruction. Now in its third decade of influencing curriculum, instruction and research, direct instruction is also into its third decade of controversy because of its focus on explicit and highly directed instruction for learning. Characteristics of direct instruction are critiqued and discussed to identify implications for teaching and learning for Indigenous students.

Introducing action research as a vehicle to bring about change to a psychiatric nursing curriculum in Taiwan

The focus of this study is on curriculum change within a School of Nursing in Taiwan where there is a growing demand for educational reform in order to meet the new accreditation standards and demands of the Taiwan Nursing Accreditation Council (TNAC). The aim of this study was to transform the Psychiatric Nursing curriculum in ways that are empowering, generative and sustainable. This study introduced Action Research as a vehicle to bring about curriculum transformation. I conceptualised a framework to guide the transformation process based on the notions of learner-centredness, conceptual change, pedagogical knowledge, reflection, collaboration, reculturing and empowerment. The Action Plan was developed in accordance with the conceptual framework, and was developed in five steps through which team members explored and became aware of our conceptions of teaching and learning, and then planned and implemented actions to change our curriculum, and examined and reflected on the curriculum transformation. The study demonstrated the value of working collaboratively to solve educational problems. This study also suggested that experiential knowledge, when shared and integrated with theoretical knowledge, can constructively contribute to all aspects of curriculum transformation. This study further supported the value of including clinical facilitators in the development and transformation of curricula. It confirmed that academics and clinical facilitators can work together to create new learning for students. This study is significant for both practical and political reasons. Its practical significance lies in its direct utility to the learners and teachers who were involved in the study. The political significance lies in the potential of the study to lead to further changes or improvements in other, similar contexts. The study is limited in that any interpretations cannot be generalised to other contexts. However, what emerged adds to the body of knowledge in such a way that it would constitute the basis for better informed educational practice.

Inciting the social imagination to realising the dream : An unfolding story of reform in a low-socioeconomic school

This paper presentation addresses design-based research that became a catalyst for social change among a disadvantaged school community. The aim of the longitudinal research was to protoype an evidence-based model for whole school digital and print literacy pedagogy renewal among students from low socioeconomic, Indigenous, and migrant backgrounds. Applying Anthony Gidden’s principle of the “duality of structure”, the paper presentation interprets how the collective agency of researchers and the school community began to transform the structural properties of the institution in a two-way dynamism, so that the structural properties of the school were not outside of individual action, but were implicated in its reproduction and transformation.

Indigenous mathematics : creating an equitable learning environment

This chapter examines how a change in school leadership can successfully address competencies in complex situations and thus create a positive learning environment in which Indigenous students can excel in their learning rather than accept a culture that inhibits school improvement. Mathematics has long been an area that has failed to assist Indigenous students in improving their learning outcomes, as it is a Eurocentric subject (Rothbaum, Weisz, Pott, Miyake & Morelli, 2000, De Plevitz, 2007) and does not contextualize pedagogy with Indigenous culture and perspectives (Matthews, Cooper & Baturo, 2007). The chapter explores the work of a team of Indigenous and non-Indigenous academics from the YuMi Deadly Centre who are turning the tide on improving Indigenous mathematical outcomes in schools and in communities with high numbers of Aboriginal and Torres Strait Islander students.

Recognising Torres Strait Islander women’s knowledges in their children’s mathematics education

This paper discusses women’s involvement in their children’s mathematics education. It does, where possible, focus Torres Strait Islander women who share the aspirations of Aborginal communities around Australia. That is, they are keen for their children to receive an education that provides them with opportunities for their present and future lives. They are also keen to have their cultures’ child learning practices recognised and respected within mainstream education. This recognition has some way to go with the language of instruction in schools written to English conventions, decontextualised and disconnected to the students’ culture, Community and home language.

Teacher change and professional development in mathematics education

It is generally agreed that if authentic teacher change is to occur then the tacit knowledge about how and why they act in certain ways in the classroom be accessed and reflected upon. While critical reflection can and often is an individual experience there is evidence to suggest that teachers are more likely to engage in the process when it is approached in a collegial manner; that is, when other teachers are involved in and engaged with the same process. Teachers do not enact their profession in isolation but rather exist within a wider community of teachers. An outside facilitator can also play an active and important role in achieving lasting teacher change. According to Stein and Brown (1997) “an important ingredient in socially based learning is that graduations of expertise and experience exist when teachers collaborate with each other or outside experts” (p. 155). To assist in the effective professional development of teachers, outside facilitators, when used, need to provide “a dynamic energy producing interactive experience in which participants examine and explore the complex components of teaching” (Bolster, 1995, p. 193). They also need to establish rapport with the participating teachers that is built on trust and competence (Hyde, Ormiston, & Hyde, 1994). For this to occur, professional development involving teachers and outside facilitators or researchers should not be a one-off event but an ongoing process of engagement that enables both the energy and trust required to develop. Successful professional development activities are therefore collaborative, relevant and provide individual, specialised attention to the teachers concerned. The project reported here aimed to provide professional development to two Year 3 teachers to enhance their teaching of a new mathematics content area, mental computation. This was achieved through the teachers collaborating with a researcher to design an instructional program for mental computation that drew on theory and research in the field.

The Global Youth Media Council : young people speaking and learning about media reform

The 5th World Summit on Media for Children and Youth held in Karlstad, Sweden in June 2010 provided a unique media literacy experience for approximately thirty young people from diverse backgrounds through participation in the Global Youth Media Council. This article focuses on the Summit’s aim to give young people a ‘voice’ through intercultural dialogue about media reform. The accounts of four young Australians are discussed in order to consider how successful the Summit was in achieving this goal. The article concludes by making recommendations for future international media literacy conferences involving young people. It also advocates for the expansion of the Global Youth Media Council concept as a grass roots movement to involve more young people in discussions about media reform.

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.

Developing the Pattern and Structure Assessment (PASA) interview to inform early mathematics learning

The Pattern and Structure Mathematical Awareness Program(PASMAP) stems from a 2-year longitudinal study on students’ early mathematical development. The paper outlines the interview assessment the Pattern and Structure Assessment(PASA) designed to describe students’ awareness of mathematical pattern and structure across a range of concepts. An overview of students’ performance across items and descriptions of their structural development are described.