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.

Mathematics and complex learning

There is unprecedented worldwide demand for mathematical solutions to complex problems. That demand has generated a further call to update mathematics education in a way that develops students’ abilities to deal with complex systems.

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.

Knowing about the English language: “a wrinkle in time”

Beryl & Gael discuss the ‘new’ metalanguage for knowledge about language presented in the Australian Curriculum English (ACARA, 2010). Their discussion connects to practice by recounting how one teacher scaffolds her students through detailed understandings of noun and adjective groups in reading activities. The stimulus text is the novel ‘A wrinkle in time’ (L’Engle, 1962, reproduced 2007) and the purpose is to build students’ understandings so they can work towards ‘expressing and developing ideas’ in written text (ACARA, 2010).

Perspectives of teaching in Papua New Guinea : a case study of elementary teacher trainers and their mentors

Global and national agenda for quality education led to reform in Papua New Guinea (PNG) based on the provision of quality basic education. “Education for All” (EFA) is a worldwide emphasis on the review and restructure of existing curriculum and teacher training programs to provide quality education and quality life. The provision of quality education is seen as an investment in developing countries including PNG. Quality education is facilitated through structural and curriculum reform, and teacher education programs. One such influence on quality education in teacher education relates to perspectives of teaching. Existing research shows teachers’ beliefs and perceptions of teaching influence their practice (Kember & Kwan, 2000; Prosser & Trigwell, 2004). However, there is no research focusing on perspectives of teaching for elementary education in PNG. This single exploratory case study (Yin, 2009) investigated the perspectives of teaching of eighteen elementary teacher trainers and their five mentors in the context of an Australian university Bachelor of Early Childhood (in teacher education) degree programme. The study drew on an interpretivist paradigm to analyse journals, semi-structured interviews and course planning documents using a thematic approach to data analysis (Braun & Clark, 2006). The findings revealed that participants held perspectives of teaching related to teaching children and teaching adults. The perspective of teaching children described by the trainers and mentors was learning-centred (the focus is on what the teacher does); while the perspective of teaching adults was both learning-centred and learner-centred (the focus is on what the learner does). The learning-centred perspective is at odds with the learner-centred perspective espoused in the PNG reform. The perspectives of teaching adults reflected a culturally nuanced view; providing insights about how teaching and learning are understood in different sociocultural contexts. Based on these findings, the study proposes a perspective of teaching for elementary education in PNG known as culturally connected teaching. This perspective enables the co-existence of both the learning-centred and learner-centred perspectives of teaching in the PNG cultural context. This perspective has implications for teacher training and the communities involved in elementary education.

Career decision making among gifted students : the mediation of teachers

There is international concern about falling enrollments in higher education, particularly the sciences, by gifted students. In this mixed method study, the top performing 200 students (approximately 1%) within a particular education jurisdiction at the beginning of their first year at university were surveyed and 20 interviewed about their school experiences using a biographical interpretive design. This study focussed on identifying those characteristics of teachers which supported students’ interests. Participants identified seven characteristics of teachers that students identified as supportive of their potential career pathways. These included connecting pedagogical practices with student interests, being passionate about their subject matter, having good content knowledge, making learning experiences relevant, setting high expectations of students, being a good explainer of complex ideas, and being a good classroom manager. This study extends our knowledge of how teachers influence gifted students and has implications for both pre-service and in-service teacher education and career counselling.

Stepping stones : student journal : year 2

"ORIGO Stepping Stones gives mathematics teachers the best of both worlds by delivering lessons and teacher guides on a digital platform blended with the more traditional printed student journals." -- Publisher website

Stepping stones : student guide : year 3

"ORIGO Stepping Stones gives mathematics teachers the best of both worlds by delivering lessons and teacher guides on a digital platform blended with the more traditional printed student journals." -- Publisher website

Stepping stones : student journal : year K

"ORIGO Stepping Stones gives mathematics teachers the best of both worlds by delivering lessons and teacher guides on a digital platform blended with the more traditional printed student journals." -- Publisher website

Internship : interpreting micropolitical contexts

Many university faculties of education across Australia employ a model of internship for final semester pre-service teacher education students to help them make a smooth transition into the teaching profession. While a growing body of research has explored pre-service teachers’ experiences of their practicum, including the internship, which is the final professional experience within a course of study, very little work has considered micropolitics as a lens through which to interpret interns’ relationships with their school supervisors/mentors. This paper uses a micropolitical framework to interpret reflective reports written by 145 Bachelor of Education (primary) interns who recorded their perceptions of their professional learning experience within the context of a relationship with their school-based mentors. Several key themes are identified that highlight interns’ reports of a range of micropolitical strategies at play. The paper concludes by raising a number of implications for universities and schools regarding how better to facilitate interns’ transition into the profession.

Teaching English : some remarks on the emergence of the sympathetic teacher in the English classroom

The chapter explores the concept of the teacher-student relationship within the English classroom and proposes that this relationship has a specific purpose in building a civil society by inculcating practices of self-reflection, empathy and ethics. The topic is explored through the example of teaching Australian literature, specifically, Tim Winton’s Lockie Leonard, Human Torpedo to secondary school students. Ian Hunter’s work on literature education and the construction of socio-ethical practices provides a conceptual framework for the chapter.