Australian universities providing mathematics teacher preparation are increasingly offering their courses online or in limited face-to-face mixed mode delivery. There are limited empirical data on why pre-service teachers make delivery mode choices and how these impact on academic standards and student satisfaction ratings. This paper reports on…

In Australia, there is increasing scrutiny of teacher education processes in learning to teach primary mathematics. In this study, mixed methods, including linear regression, are used to examine the entry mathematical content knowledge of third-year Bachelor of Education Pre-service Students and to relate this to their graduating level of content…

It is generally assumed that in order to teach mathematics effectively, middle years teachers ought to have a high degree of knowledge of mathematics and confidence in their ability to do the mathematics as well as self-efficacy to teach it. This study examines the content knowledge, mathematics confidence and self-efficacy of 99 graduate-entry…

This paper examines the mathematics content knowledge of graduate entry middle school mathematics pre-service teachers at the beginning (n=105; 80%) and end of a mathematics curriculum course. It was found that mathematics content knowledge at the commencement of the course was not strong. An intervention was designed to take account of content…

The importance of actively engaging in mathematics discourse in order to learn mathematics is well recognized. In this paper, I use Basil Bernstein's concepts of pedagogic discourse to document and analyse academic learning time of students in Years 8 and 9 at a suburban lower secondary school: in particular, for what proportion of class time…

This paper is a case study in preparing prospective primary teachers to teach mathematics at one Australian university. The paper describes the content knowledge of prospective teachers, pre and post a final mathematics curriculum subject. The teaching approach which attempts to account for both content and pedagogical content knowledge is…

There is increasing concern with respect to the quality of teacher education preparation processes in the West. This study used case study methods to examine learning opportunities and knowledge of mathematics in a sample of 192 Australian trainee middle school teachers and 94 Chinese Bachelor of Science trainee teachers. It was found that the…

The preparation of teachers to teach mathematics to primary school children differs across nations and cultures. This study used mixed methods to examine the basic content knowledge of trainee teachers in Australia and China. A simple test (30 questions) of content based on an international comparative study in mathematics teacher training found…

Stephen Norton, Do Thi Phurong Thao and Mai The Duy provide an interesting insight into the teaching of fraction division in Vietnam. The article highlights one of the many teaching strategies available to teachers for building fraction concepts.

This paper examines the factors that hinder students' success in working with and understanding the mathematics of quadratic equations using a case study analysis of student error patterns. Twenty-five Year 11 students were administered a written test to examine their understanding of concepts and procedures associated with this topic. The…

We often hear about how well other countries are performing in international tests such as PISA. In this article, Stephen Norton and Qinqiong Zhang describe a classroom and a tutor session from a Chinese setting. They describe the amount of time spent in class and out of class working on mathematics. Also they explain how learning is highly valued…

Pedagogical reform in Australia over the last few decades has resulted in a reduced emphasis on the teaching of computational algorithms and a diversity of alternative mechanisms to teach students whole number computations. The effect of these changes upon student recording of whole number computations has had little empirical investigation. As…

There remains a lack of empirical evidence about the relationship between the level of mathematics studied at high school and within tertiary degrees and primary school pre-service teachers' success in curriculum subjects. Further, there is little evidence to inform the structure and delivery of mathematics teacher preparation. In this study, the…

Over the past decade it has been frequently reported that East Asian students are outperforming their Western counterparts in international tests of mathematics at middle-school level. This paper probes classroom discourse in an attempt to shed some light on this phenomenon. Data were collected from a sample of Chinese Year 8 students in a normal…

The importance of teachers' content knowledge for effective teaching of mathematics has long been recognised. Recent national testing regimes in Australia (National Assessment Program-Literacy and Numeracy [NAPLAN]) have raised questions of the adequacy of teachers' content knowledge. This, in turn has focused attention upon the quality of teacher…