Showcasing recent Australian research in gender and mathematics

In this paper findings from a recent review of Australian research on gender issues in mathematics education (Vale, Forgasz & Horne, 2004) are presented.

The task of designing tasks for teacher education and development

Posing, adapting, and creating worthwhile tasks that support student learning are significant pedagogical practices of teachers. However in mathematics education, task design and curriculum development are not often the responsibility of practicing teachers. Textbooks can become the main source of mathematics problems and teachers often follow the text and its sequence of problems. Although mathematics teachers can benefit from access to research-based curriculum resources, limited opportunities to adapt and design tasks can make it challenging to meet the diverse needs and interests of their students. More opportunities for learning to create problems are needed for both practicing and beginning mathematics teachers. What then is involved in learning to pose, adapt and create worthwhile mathematics tasks? More specifically, how can teacher educators design tasks that support teacher candidates in learning to create mathematical tasks? As teacher educators we have, over the past few years, used our own courses as sites in Australia and Canada for investigating various contexts to support preservice teachers in their learning to adapt and create mathematical tasks. Our research includes both large scale and small qualitative studies to explore the perspectives of teacher candidates on learning to create and pose mathematical problems, the kinds of problems they pose, and the opportunities and challenges this offers us as teacher educators. Our work is inspired by Variation Theory that focuses on learning as the act of awareness and discernment of variation. We are exploring both how variation theory can be useful for preservice teachers in their designing, posing and adapting of mathematical tasks and for teacher educators in their design of such pedagogical tasks. The results of our work support the argument that tasks to design, adapt and pose mathematical problems enhance their pedagogical understanding and should be a feature of teacher education courses. This is a new area for research and practice; further exploration of the suitability of particular tasks in elementary mathematics teacher education is recommended.

Mathematics: Launching Futures Proceedings of the 24th Biennial Conference of The Australian Association of Mathematics Teachers Inc.

‘Mathematics: Launching Futures’ was the theme for the 24th Biennial Conference of The Australian Association of Mathematics Teachers Inc.It was the first national conference on mathematics education since the introduction of the Australian Curriculum and so addresses the support educators will need to implement this curriculum. It also addressed concerns regarding  the low numbers of students studying higher level mathematics at school and university. A major aim of the conference was the sharing of knowledge to encourage  and support teachers at all
stages of their careers. This conference featured a joint day with the 36th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA), aiming to enhance collaboations between researchers and teachers.

The presence of mathematics anxiety in future primary school teachers and factors affecting abatement

This study reflects on the implementation of various teaching initiatives for reducing anxiety toward mathematics in students studying to become primary school teachers. We highlight similarities between these practices and those promoted by the 'Whole Teacher' approach - in particular, the aim to develop attitudes along with knowledge and skills. Here, the negative past associations with mathematics and anxiety toward mathematics that students bring with them have been a key consideration when designing the subject content and delivery. Given the important role these students will have in shaping mathematics education in the future, we suggest frameworks such as that of the 'Whole Teacher' could be extended to the university setting. We investigate four years of student feedback pertaining to a first year undergraduate mathematics unit, contending that the teaching initiatives introduced over time have helped students develop a positive attitude toward mathematics. We note, however, that the student-teacher relationship was still the most prominent factor directly identified by students who previously had a fear or negative attitude toward mathematics.

Once upon a time: children's literature and mathematics

What was your favourite book as a child? Remember the joy of reading it over and over again until the pages were worn and the corners curled. Have you thought about introducing your favourite book into a mathematics classroom? Utilising books in mathematics can engage and benefit every child in your class. Building on children’s wonder of literature can enhance their experience in mathematics. Building on children’s wonder of mathematics can enhance their experience of literature. In this paper we present the joy and value of employing children’s literature in the middle to upper primary mathematics classroom supported with engaging tasks that will have your students noticing maths in every story they read.

Using the Internet in high school mathematics

Whilst the technological, pedagogical and content knowledge (TPACK) model has been increasingly adopted for understanding teachers’ use of technology, there have been many calls for greater discussion about the constituent constructs, their relationship with one another and the central TPACK. This paper analyses qualitatively the TPACK demonstrated by the teacher of a Year 11class who used web-based simulated contexts and interactive web objects in a Mathematics Studies course. The findings indicate aspects of TPK relating to academiclearning time and the transformational mode of the technology were not fully realised in this case study. The implications these has for teacher professional development are discussed.

Introduction: why pedagogy of school mathematics is important for us?

This textbook is designed to empower pre-service teachers to teach mathematics in schools in China. In this chapter, we briefly described the history of mathematics teaching in the West and in China and the history of mathematics education becoming a science. Then we reviewed some hot research issues associated with mathematics education that occurred from the mid-1950s. We selected four research in literature as examples to illustrate the research methods that PSTs could try in future. We hoped to help PSTs understand that having solid mathematical knowledge is not enough to be an excellent teacher. They need to learn professional knowledge and deal with teaching issues basing on research.

Numeracy across the curriculum: recognising and responding to the demands and numeracy opportunities inherent in secondary teaching

The 1998 Report of the National Standards and Guidelines for Initial Teacher Education Project, 'Preparing a Profession' illustrates the emphasis being placed in Australia on the development of numeracy skills amongst not only primary but also secondary school pupils. This report demands that graduates of all initial teacher training courses should not only be numerate themselves, but should also understand the contribution of numeracy to education and daily life, and be able to identify and respond to pupils' numeracy learning needs. This report and its implementation in Victoria through the 'Guidelines for the Evaluation of Teacher Education Courses' led to the introduction in 1999 of a compulsory unit 'Numeracy across the curriculum' for all Deakin University students in the final year of their secondary teacher training course. This paper discusses the nature of the current emphasis on numeracy. It also describes the rationale, development and delivery of the first year of the 'Numeracy across the curriculum' unit, provides a brief evaluation from the perspective of staff and students, and discusses what impact such teacher education programs might have on secondary schools' approaches to numeracy.