Preservice teachers’ perceptions of their middle schooling teacher preparation : a sample of the Australian context

Reviews into teacher education and reform measures, such as implementing professional standards for teachers, are designed to raise the quality of education. Such reviews and reforms also target preservice teachers; hence universities examine their teacher education programs to address these issues, including developing programs that are current with the literature. Over the past fifteen years, concerns have arisen about Australian early adolescents and their disengagement from the schooling system, their “at risk” behaviour and their need for social, emotional and academic support. These concerns have prompted a middle schooling movement in Australia with the literature recognising a need for specialised middle school teachers. As a result, various universities have responded by developing courses specifically designed to graduate teachers who possess the theoretical and pedagogical knowledge for engaging early adolescent learners. This mixed-method study analysed the responses of preservice teachers from three universities across two states in Australia near the completion of their middle years teacher preparation program. The three aims of the study were to: (1) investigate final-year preservice teachers’ perceptions of their confidence to teach in the middle years of schooling; (2) analyse the experiences included in their teacher preparation course that made them feel confident; and (3) describe strategies for enhancing middle schooling teacher education preparation. Data were gathered from final-year preservice teachers (n=142) using a survey that was developed in response to middle schooling literature and the Professional Standards for Queensland Teachers (Queensland College of Teachers, 2006). A questionnaire collected extended information about the participants’ (n=142) experiences that made them feel confident. It also gathered information about strategies for enhancing middle years teacher preparation. One-to-one, 45-minute interviews (n=10) were conducted to elicit in-depth responses aligned with the research aims. Quantitative results indicated that the majority of preservice teachers (n=142) claimed confidence associated with survey items relating to creating a positive classroom environment (range: 70-97%), developing positive relationships for teaching (71-98%), pedagogical knowledge for teaching (72-95%), and implementation of teaching (70-91%). Qualitative findings suggested that the experiences that assisted them to be confident for teaching were practicum and associated field studies coursework, a positive mentor teacher, specifically designed middle years subjects, the pedagogical approaches of university staff, and other real-world experiences such as volunteering in schools and participating in professional development alongside their mentors. This study demonstrated that universities presenting middle years teacher preparation need to consider: the quality of the practicum experience; the suitability of mentor teachers; the significance and practicalities of middle years subjects; university lecturers’ modelling of pedagogical practices; and the inclusion of real-world learning experiences. Although the findings of this study provided evidence as to how preservice teacher confidence for teaching has been influenced by their middle schooling teacher preparation, further research is required to investigate how confidence translates into practice within their first years of teaching.

ICT driven pedagogies and its impact on learning outcomes in high school mathematics

ICT (Information and Communication Technology) creates numerous opportunities for teachers to re-think their pedagogies. In subjects like mathematics which draws upon abstract concepts, ICT creates such an opportunity. Instead of a mimetic pedagogical approach, suitably designed activities with ICT can enable learners to engage more proactively with their learning. In this quasi-experimental designed study, ICT was used in teaching mathematics to a group of first year high school students (N=25) in Australia. The control group was taught predominantly through traditional pedagogies (N=22). Most of the variables that had previously impacted on the design of such studies were suitably controlled in this yearlong investigation. Quantitative and qualitative results showed that students who were taught by ICT driven pedagogies benefitted from the experience. Pre and post-test means showed that there was a difference between the treatment and control groups. Of greater significance was that the students (in the treatment group) believed that the technology enabled them to engage more with their learning.

Theories of learning mathematics

According to Karl Popper, widely regarded as one of the greatest philosophers of science in the 20th century, falsifiability is the primary characteristic that distinguishes scientific theories from ideologies – or dogma. For example, for people who argue that schools should treat creationism as a scientific theory, comparable to modern theories of evolution, advocates of creationism would need to become engaged in the generation of falsifiable hypothesis, and would need to abandon the practice of discouraging questioning and inquiry. Ironically, scientific theories themselves are accepted or rejected based on a principle that might be called survival of the fittest. So, for healthy theories on development to occur, four Darwinian functions should function: (a) variation – avoid orthodoxy and encourage divergent thinking, (b) selection – submit all assumptions and innovations to rigorous testing, (c) diffusion – encourage the shareability of new and/or viable ways of thinking, and (d) accumulation – encourage the reuseability of viable aspects of productive innovations.

Problem solving in the primary school (K-2)

This article focuses on problem solving activities in a first grade classroom in a typical small community and school in Indiana. But, the teacher and the activities in this class were not at all typical of what goes on in most comparable classrooms; and, the issues that will be addressed are relevant and important for students from kindergarten through college. Can children really solve problems that involve concepts (or skills) that they have not yet been taught? Can children really create important mathematical concepts on their own – without a lot of guidance from teachers? What is the relationship between problem solving abilities and the mastery of skills that are widely regarded as being “prerequisites” to such tasks?Can primary school children (whose toolkits of skills are limited) engage productively in authentic simulations of “real life” problem solving situations? Can three-person teams of primary school children really work together collaboratively, and remain intensely engaged, on problem solving activities that require more than an hour to complete? Are the kinds of learning and problem solving experiences that are recommended (for example) in the USA’s Common Core State Curriculum Standards really representative of the kind that even young children encounter beyond school in the 21st century? … This article offers an existence proof showing why our answers to these questions are: Yes. Yes. Yes. Yes. Yes. Yes. And: No. … Even though the evidence we present is only intended to demonstrate what’s possible, not what’s likely to occur under any circumstances, there is no reason to expect that the things that our children accomplished could not be accomplished by average ability children in other schools and classrooms.

Evaluation of the "reconceptualising early mathematics learning" project

The Pattern and Structure Mathematics Awareness Project (PASMAP) has investigated the development of patterning and early algebraic reasoning among 4 to 8 year olds over a series of related studies. We assert that an awareness of mathematical pattern and structure enables mathematical thinking and simple forms of generalisation from an early age. The project aims to promote a strong foundation for mathematical development by focusing on critical, underlying features of mathematics learning. This paper provides an overview of key aspects of the assessment and intervention, and analyses of the impact of PASMAP on students’ representation, abstraction and generalisation of mathematical ideas. A purposive sample of four large primary schools, two in Sydney and two in Brisbane, representing 316 students from diverse socio-economic and cultural contexts, participated in the evaluation throughout the 2009 school year and a follow-up assessment in 2010. Two different mathematics programs were implemented: in each school, two Kindergarten teachers implemented the PASMAP and another two implemented their regular program. The study shows that both groups of students made substantial gains on the ‘I Can Do Maths’ assessment and a Pattern and Structure Assessment (PASA) interview, but highly significant differences were found on the latter with PASMAP students outperforming the regular group on PASA scores. Qualitative analysis of students’ responses for structural development showed increased levels for the PASMAP students; those categorised as low ability developed improved structural responses over a relatively short period of time.

YuMi deadly maths program : efficacy and collaboration

Historically, perceptions about mathematics and how it is taught and learned in schools have been mixed and as a consequence have an influence on self efficacy. There are those of us who see mathematics as logical and an enjoyable subject to learn, whilst others see mathematics as irrelevant, difficult and contributing to their school failure. Research has shown that over-represented in the latter are Aboriginal and Torres Strait Islander, low SES and ESL students. These students are the focus of YuMi Deadly Centre (YDC) professional learning and research work at the Queensland University of Technology in Brisbane.

Modeling as a bridge between real world problems and school mathematics

This article argues for an interdisciplinary approach to mathematical problem solving at the elementary school, one that draws upon the engineering domain. A modeling approach, using engineering model eliciting activities, might provide a rich source of meaningful situations that capitalize on and extend students’ existing mathematical learning. The study reports on the developments of 48 twelve-year old students who worked on the Bridge Design activity. Results revealed that young students, even before formal instruction, have the capacity to deal with complex interdisciplinary problems. A number of students created quite appropriate models by developing the necessary mathematical constructs to solve the problem. Students’ difficulties in mathematizing the problem, and in revising and documenting their models are presented and analysed, followed by a discussion on the appropriateness of a modeling approach as a means for introducing complex problems to elementary school students.

Successful outcomes in vocational education and training courses : how pedagogy and expectations influence achievement

This paper reports on a four year Australian Research Council funded Linkage Project titled Skilling Indigenous Queensland, conducted in regional areas of Queensland, Australia from 2009 to 2013. The project sought to investigate vocational education, training (VET) and teaching, Indigenous learners’ needs, employer cultural and expectations and community culture and expectations to identify best practice in numeracy teaching for Indigenous VET learners. Specifically it focused on ways to enhance the teaching and learning of courses and the associated mathematics in such courses to benefit learners and increase their future opportunities of employment. To date thirty-nine teachers/trainers/teacher aides and two hundred and thirty-one students consented to participate in the project. Nine VET courses were nominated to be the focus on the study. This paper focuses on questionnaire and interview responses from four trainers, two teacher aides and six students. In recent years a considerable amount of funding has been allocated to increasing Indigenous Peoples’ participation in education and employment. This increased funding is predicated on the assumption that it will make a difference and contribute to closing the education gap between Indigenous and non-Indigenous Australians (Council of Australia Governments, 2009). The central tenet is that access to education for Indigenous People will create substantial social and economic benefits for regional and remote Indigenous People. The project’s aim is to address some of the issues associated with the gap. To achieve the aims, the project adopted a mixed methods design aimed at benefitting research participants and included: participatory collaborative action research (Kemmis & McTaggart, 1988) and, community research (Smith, 1999). Participatory collaborative action research refers to a is a “collective, self-reflective enquiry undertaken by participants in social situations in order to improve the rationality and justice of their own social and educational practices” (Kemmis et al., 1988, p. 5). Community research is described as an approach that “conveys a much more intimate, human and self-defined space” (p. 127). Community research relies on and validates the community’s own definitions. As the project is informed by the social at a community level, it is described as “community action research or emancipatory research” (Smith, 1999, p. 127). It seeks to demonstrate benefit to the community, making positive differences in the lives of Indigenous People and communities. The data collection techniques included survey questionnaires, video recording of teaching and learning processes, teacher reflective video analysis of teaching, observations, semi-structured interviews and student numeracy testing. As a result of these processes, the findings indicate that VET course teachers work hard to adopt contextualising strategies to their teaching, however this process is not always straight forward because of the perceptions of how mathematics has been taught and learned historically. Further teachers, trainers and students have high expectations of one another with the view to successful outcomes from the courses.

Retention and graduation of Aboriginal and Torres Strait Islander students in initial teacher education : a review of the literature

While the need to increase numbers of Indigenous teachers has been highlighted for many years, Aboriginal and Torres Strait Islander teachers are still significantly underrepresented in Australia making up less that 1% of teachers in schools. Nationally, little has changed since the 1980s when Hughes and Wilmot (1992) called for ‘1000 Indigenous teachers by 1990’. This paper reports on an initial literature review of teacher education as related to the preparation of Aboriginal and Torres Strait Islanders. Alongside the scholarly literature, the review to date includes analysis of over twenty policy documents and government reports as well as web-based descriptions of historical and current models of Indigenous teacher education including both mainstream Education programs and cohort-based and community models. While the literature provides examples of successful models of Indigenous teacher education it also illuminates the longstanding and interrelated factors that continue to impact on the success or failure of teacher education for Aboriginal and Torres Strait Islanders

A comparison of Chinese and Australian early childhood mathematics

In the 21st century mathematics proficiency is synonymous with a numerate citizenry. In the past few decades young children’s ability to reason mathematically and develop mathematical proficiencies has been recognised. This paper explores the history of early childhood mathematics (ECME) that may explicate differences in Chinese and Australian contexts. Results of this review established that China and Australia are diametrically positioned in ECME. Influencing each countries philosophies and practices are their cultural beliefs. ECME in China and Australia must be culturally sustainable to achieve excellent outcomes for young children. Ongoing critique and review is necessary to ensure that ECME is meeting the needs of all teachers and children in their particular context. China and Australia with their rich contrasting philosophies can assist each other in their journeys to create exemplary ECME for the 21st century.

Mathematics learning in prep

Most teachers recognise the importance of mathematics teaching and learning in early years but there is not consensus on how and when this learning should occur. Young-Loveridge (cited in de Vries, Thomas, and Warren, 2010) suggests that quality early mathematical experiences are a key determinant to later achievement.