Analyzing Australian middle years students\u27 preferred mathematics classroom practices

The Middle Years of schooling have become an issue for mathematics teachers and educators, and calls for the reform of this period of schooling are frequent. However, the suggested reforms appear to be divided in their views of what would be best for these students. This paper provides a brief overview of what some Middle Years students say about their needs. Some 1500 students in the Middle Years of schooling (Years 5 to 9) were surveyed about their preferred mathematics classroom activities: the methods and results of the survey may be extremely relevant to those contemplating Middle Years reform.<br /

Communities of mathematical inquiry : a primary pedagogy in peril

This paper outlines some examples from an Australian education system, and its classrooms, that provide evidence of practices that are considered as antithetical to establishing and maintaining Communities of Mathematical Inquiry (CoMI). Although some possible solutions are posed, implementation is left open for readers to consider, as contexts vary widely from jurisdiction to jurisdiction

Large-scale mathematics assessment : looking globally to act locally

In this paper, I will argue that it is possible to use data from large-scale international and national mathematics assessment programmes, whose attention is on summative achievement, to provide formative information that informs teachers about the effects of their classroom practice. However, to have impact on, and be useful for, classroom practitioners, these achievement data need to be reworked and re-presented in ways that are plausible, provide a basis for inferences about practice, and be appropriate for the intended audience. This paper examines achievement-focused assessment programmes in terms of their aims and approaches, and develops the argument that formative assessment possibilities are present, within these programmes, although usually hidden. Examples are drawn from several sources to support this argument, and demonstrate a variety of approaches that have been taken in the past. Suggestions for further action are made. <br /

Lesson study - how it could work for you

There is growing worldwide interest in Japanese Lesson Study as a form of professional development, with adaptations of Lesson Study taking place in hundreds of schools clusters in USA, large-scale adoption in the UK, and smaller scale implementation in Australia, and many other countries, including Chile, Indonesia, Malaysia, Mexico, Peru, Philippines, Singapore, Thailand, and Vietnam. This presentation will use classroom video to illustrate the typical Japanese structured-problem-solving research lessons that form the basis for Lesson Study, and discuss how they are planned, the role of the teacher, and the use of Lesson Study as a means of professionaldevelopment

Progressive discourse in mathematics classes - the task of the teacher

This paper uses data from two mathematics lessons to explore the nature of progressive discourse and examine critical features of teacher actions that contribute to mathematics classrooms functioning as communities of inquiry. Features found to promote progressive discourse include a focus on the conceptual elements of the curriculum and the use of complex, challenging tasks that problematised the curriculum; the orchestration of student reporting to allow all students to contribute to progress towards the community\u27s solution to the problem; and a focus on seeking, recognizing, and drawing attention to mathematical reasoning and justification, and using this as a basis for learning. <br /

Teachers\u27 pre-conceptions of young children\u27s conceptions of number

This paper uses data from several sources to argue that while teachers of young children are reasonably accurate in their predictions of when the majority of children will achieve mastery of specific objectives in mathematics, they are much less likely 10 be aware of the conceptions of high achieving children, and that, as a result, their classroom activities constrain these students\u27 learning.<br /

Effective mathematics learning environments : primary teachers\u27 beliefs and practices

A first priority for changing teaching practice is to make problematic for teachers aspects of their current practice. As part of a project on improving mathematics and science teaching in the middle years of schooling, teachers were asked to rate their practice against components of effective teaching and learning and to rate each of these according to their perceived importance. Findings suggest that primary teachers endorsed the components as representing effective practice, scoring most components higher than their actual practice. Gaps were particularly evident for items relating to challenging students conceptually and higher-order thinking, with these becoming the basis for some of the action planning for change.<br /

Japanese lesson study : teacher professional development through communities of inquiry

Japanese Lesson Study has come under increasing attention from educators in the West and throughout South-East Asia since it was revealed outside Japan through the release of the TIMSS Video Study. In this paper we argue that Japanese Lesson Study provides a model for large scale, sustainable professional development. In particular, we draw on our own experience of Japanese Lesson Study and the research literature to describe its characteristic features and examine some of the cultural assumptions that underpin its implementation.<br /