Mathematics curriculum reform : reproducing social inequalities

This book is essential reading for Australasian mathematics educators and other researchers with an interest in the history of mathematics curriculum, the culture of mathematics, gender, and social justice issues in mathematics. Drawing on the results of research conducted by the Educational Outcomes Research Unit at the University of Melbourne and historical documents, Richard Teese argues that the education system fails to diffuse the economic and cultural benefits assumed to flow from the completion of secondary schooling.

Problematising the mathematics curriculum : some examples from Australia and Japan

Problem solving is often seen as being the core of mathematics. While there are many examples of teaching for and about problem solving, there are relatively few examples of teaching mathematical content through problem solving. This paper uses data from three, apparently quite different, mathematics lessons from Australia and Japan to explore different ways in which mathematics can be taught successfully through problem solving and to analyse some of the characteristics of such lessons. It also attempts to identify some of the supports and constraints for adopting a problem solving approach to the teaching of mathematics that exist in the quite different contexts of Japan and Australia.

Calculators, mathematics and young children : a study of six children using calculators as part of the mathematics curriculum during their first two years of school

The thesis investigates the role a calculator can play in the developing number knowledge of three girls and three boys as part of their mathematics program, during their first two years at primary school. Random sampling was used initially to select six girls and six boys from the twenty-four children entering a 1993 prep class. These twelve children were interviewed on entrance to school and based on the performance of the twelve children on the initial interview, a girl and a boy were chosen from the higher, middle and lower achievers to take part in the full study. The class teachers involved were previously participants in the ‘Calculators in Primary Mathematics’ research program and were committed to the use of calculators in their mathematics program. A case study approach using qualitative methods within the activity theory framework is used to collect relevant data and information, an analysis of five interviews with each child and observations of the children in forty-one classroom lessons provides comprehensive data on the children's developing number knowledge during the two years. The analysis questionnaires establishes each teacher's perceptions of the children's number learning at the beginning and end of each year, compares teacher expectations with children's actual performance for the year and compares curriculum expectations with children's actual performance. A teacher interview established reasons for changes in teaching style; teacher expectations; children's number learning; and was used to confirm my research findings. An activity theory framework provides an appropriate means of co-coordinating perspectives within this research to enable a description of the child's number learning within a social environment. This framework allows for highlighting the mediation offered by the calculator supporting the children's number learning in the classroom. Levels of children's developing number knowledge reached when working with a calculator and as a result of calculator use are mapped against the levels recommended in ‘Mathematics in the National Curriculum’ (National Curriculum Council, December 1988), and the Curriculum and Standards Framework: Mathematics (Board of Studies 2000). Findings from this comparison illustrate that the six children's performance in number was enhanced when using a calculator and indicate that on-going development and understanding of number concepts occurred at levels of performance at least two years in advance of curriculum recommendations for the first two years of school.

Arts curriculum reform : social and cultural reproduction in Victorian schools

This thesis examines the implementation of the government educational policy document The Curriculum and Standards Framework. I examined the historical and political motivation behind the development of this document and how it introduced a pervasive new initiative of outcomes based education and accountability based on economic rationalism. In particular I examined the implications this new approach had for visual arts education and the subsequent changes to the arts curriculum. This has entailed the introduction of the aesthetic appreciation of the arts as an outcome of the CSF: The Arts. I applied Bourdieu's theory of cultural reproduction in education which draws predominantly on a Weberian view and a theory of practice. Bourdieu discusses differential educational achievement according to cultural capital stating education requires certain forms of cultural capital that are not equally distributed among the classes. This therefore impedes or enhances life chances according to social class i.e. educational qualifications become a commodity in the labour market and other social fields. I examined how aesthetic appreciation of the arts has evolved historically as a form of social distinction. This entails an abstract element of arts discourse, which demands a certain linguistic competence, and familiarisation, which Bourdieu claims, is developed in the family, as 'cultural capital' this is further perpetuated in schools. The likely outcome is that the introduction of aesthetic appreciation in arts education i.e the demand to 'write about' and 'talk about' art, will perpetuate class inequality due to social and cultural difference. The study has been to examine the practices of arts education in four schools and the extent to which aesthetic appreciation was implemented in the visual arts. Data was collected by case study methods of observation, questionnaire and interview and was interpretive in both quantitative and qualitative methods. I analysed the data based on class differentiation by socioeconomic divisions and examined the school ethos and attitude towards the Arts along with differentiation in cultural capital between student population. I also found teacher and student habitus played a vital role in the implementation of the CSF. This is because habitus can cause resistance to change due to the division between the formulation of the curriculum in the bureaucratic order and the practice of teachers in classrooms. My thesis interprets education as a form of social reproduction, perpetuating the existing social order. However, as Bourdieu asserts and I agree education is a form of symbolic power as it conceals its social function under the guise of neutrality and the technical functional premise. Therefore, this thesis aims to make transparent how the education system serves the interests of the dominant group through curriculum policy. Consequently, it becomes clear how education has far reaching social implications where the distinctions of class are perpetuated through cultural reproduction.

Social transformation and curriculum reform in Chinese physical education

This thesis examines how Chinese physical education teachers are experiencing curriculum reform within the context of broad social change. Using a qualitative framework the research findings reveal how structural, personal and cultural factors converge to limit the extent to which teachers are able to embrace and implement the new curriculum.

Physical education curriculum reform in Singapore (1997-2005)

Recognising physical education curriculum reform to be a complex and challenging process, the thesis provides new insights into such an undertaking in Singapore by providing an 'insider' perspective from the author as the designer and implementer of the new curriculum supported by the 'local voices of the teachers'

What do education students value in primary mathematics curriculum?

In this paper the priorities that second year education students hold for primary mathematics content and student learning are presented. Data were collected from students who participated in a tutorial task that was used to engage students in discussion about primary mathematics curriculum. The data were collected annually for four years. Reflections about the mathematics subjects in the course are made within the context of current research and mathematics curriculum policy. Inferences are drawn about education students’ beliefs.

A comparative study of content settings of mathematics curriculum standards from China, Australia, and Finland

The study investigated the mathematics curricula standards set by the governments in China, Australia(Victoria) and Finland in the aspects of the amount of content statements, the structure of content areas, level of details, level of requirement, the distribution of content, and the changes of content areas. The results show that China's mathematics standard has the biggest amount of and the most detailed content statements; that of Australia is in the second place; and Finnish standard has the least amount of content statements that are very general. The standards in all three countries emphasize numbers and operation and geometry.However,China's standards present a dynamic change, with different focus for different grades; Australian standards have similar proportion of each part of content for different grades and the amount of each part increases with grade; there is no fixed setting and proportion of content in Finnish standard, which is not confined by any mode.

A cross-national study of calculus

The results from a cross-national study comparing calculus performance of students at East China Normal University (ECNU) in Shanghai and students at the University of Michigan before and after their first university calculus course are presented. Overall, ECNU significantly outperformed Michigan on both the pre- and post-tests, but the Michigan students showed a larger gain and normalized gain, and hence narrowed the gap. ECNU's superior performance was especially striking on the subset of problems requiring only a pre-calculus background. On those, Michigan's post-test scores were below ECNU's pre-test scores and, indeed, ECNU's higher performance on both the overall pre-test and overall post-test is attributable to its success on these problems.

Analyzing Australian middle years students' 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.

Using everyday experiences in teaching secondary mathematics in Malawi : possibilities and constraints for change

Proponents of socially and culturally oriented mathematics education have argued that teaching approaches which value and connect with the learner's prior knowledge and everyday experience are more likely to promote active, meaningful, relevant and liberatory learning than approaches which rely on transmission and abstract presentation of mathematical content. In Malawi, proposals to reform the outdated secondary mathematics curriculum have been made with the aim of aligning mathematics instruction with the social and political changes in the current Malawian society. Using a case study approach, this study investigated the extent to which everyday experiences could be used as a vehicle for changing the learning and teaching of secondary mathematics in Malawi. The study was collaborative, taking place over a period of five months in severely overcrowded and poorly resourced classes in two schools. It involved three mathematics teachers in a cycle of planning and teaching mathematics lessons based on the use of everyday experiences, and observation of and reflection on these lessons, in order to document the effects of using everyday experiences on student learning and teachers' teaching practices. The data was collected through student questionnaires; classroom observations and fieldnotes; interviews and reflective meetings with teachers; and informal meetings with key education officials in Malawi. Mathematics examination results from students involved in this study and a corresponding group from the previous year were collected. A reflective and critical approach was adopted in the interpretation and discussion of the data. Teachers' participation in this study resulted in heightened awareness of their teaching roles and the value of linking school mathematics with everyday experience. The study also shows that students found mathematics interesting and important to learn despite their lack of success in it. In addition, the study documented a number of constraints to change in mathematics instruction such as teachers' focus on mathematics content and examination requirements, and students' resistance to inquiry learning. It also recorded possibilities and barriers to collaboration both between teachers and researchers, and teachers themselves. The findings of this study are timely since they could serve to inform the reform of the Malawian secondary mathematics curriculum currently being undertaken, which began without a critical examination of the classroom conditions necessary to accommodate a socio-politically relevant mathematics education.

Teaching secondary school mathematics : research and practice for the 21st century

For the last decade or so, educational policy makers and researchers in many countries have been calling for significant changes to the way mathematics is taught in secondary schools. Australian mathematics curriculum documents now promote learning goals that go beyond mastery of a pre-determined body of knowledge and procedures - the traditional emphasis on facts, skills, formulae - to include mathematical reasoning and problem solving, communication, and real world applications. There is also pressure to move away from over-reliance on teacher-centred practices such as exposition and individual seatwork, towards activities that promote learners' involvement in constructing, applying, and evaluating mathematical ideas. Further impetus for reform comes from research recommending that if learners are to develop mathematically powerful forms of thinking and habits of mind, then classrooms should immerse them in the authentic practices of the discipline by supporting a culture of collaboration and sense-making. Teaching Secondary School Mathematics - incorporates recent developments in research and practice and applications to teaching mathematics in Australian secondary schools. Covering such areas as curriculum, pedagogy and assessment; teaching mathematical content; equity and diversity in the classroom; and professional and community engagement, it is an invaluable resource for all practising and pre-service mathematics teachers.

How to review a mathematics textbook

This article provides guidelines for maths primary teachers on how to review a mathematics textbook or curriculum system.

Research on school and community-based curriculum practice in aboriginal, multicultural and migrant education

This research studies some key problems in relation to curriculum reform in multicultural and migrant education: social concepts of multicultural education, divergent curriculum theories informing practice, the facilitation process in regard to project self-study and action research and the development of cultural perspectives in general curriculum pedagogy.