Sociocultural research on mathematics education : an international perspective

This volume--the first to bring together research on sociocultural aspects of mathematics education--presents contemporary and international perspectives on social justice and equity issues that impact mathematics education. In particular, it highlights the importance of three interacting and powerful factors--gender, social, and cultural dimensions. Sociocultural Research on Mathematics Education: An International Perspective is distinguished in several ways:

* It is research based. Chapters report on significant research projects; present a comprehensive and critical summary of the research findings; and offer a critical discussion of research methods and theoretical perspectives undertaken in the area.
* It is future oriented, presenting recommendations for practice and policy and identifying areas for further research.
* It deals with all aspects of formal and informal mathematics education and applications and all levels of formal schooling.

As the context of mathematics education rapidly changes-- with an increased demand for mathematically literate citizenship; an increased awareness of issues of equity, inclusivity, and accountability; and increased efforts for globalization of curriculum development and research-- questions are being raised more than ever before about the problems of teaching and learning mathematics from a non-cognitive science perspective. This book contributes significantly to addressing such issues and answering such questions. It is especially relevant for researchers, graduate students, and policymakers in the field of mathematics education.

School mathematics and ICT: are we doing enough? - The talk

The author discusses how to improve the use of ICT in mathematics education. A number of measures are recommended including the need to conduct an ICT-and-mathematics audit across the curriculum. The author points out that ICT is changing traditional understandings of literacy and numeracy and how it is taught. ICT approaches may help to teach things in slightly different ways, but will not necessarily do this any better than old ways. The author highlights that teaching is changing from face-to-face oral discussion to virtual talk, with ICT just the latest technology in a long line of technological innovations that have transformed teaching since the nineteenth century.

'Horses for courses' - curriculum-speed in the CSF

This article considers the issue of acceleration in lower secondary school mathematics in the Victorian Curriculum and Standards Framework.

A multiplication curriculum : a short outline

Teachers not only know how to multiply, they also know how to teach children multiplication. But at any one time, most teachers are only concerned with a small section of the whole large process of teaching multiplication. It is easy to lose sight of the wood, because of the close attention being given to individual trees. What is the larger picture? How do children learn to multiply, asks the author? The author discusses the progressive stages of ideas and processes that are involved in learning to multiply. He also provides questions to assist teachers with identifying how far students have progressed in their understanding of multiplication.

Making a numeracy across the curriculum policy for your school

If your school has already made a Literacy policy, and cleaned up its Literacy practices, what about Numeracy? What is it, and what are you going to do about it? Consider the following steps towards a policy and practice. Define “numeracy” (it is a subset of mathematics, used in particular ways). Identify numeracy needs and assessment activities in nonmathematics KLAs, including ICT and communication. Link mathematics learning outcomes with nonmathematics KLA numeracy needs. Establish school and year-level entry screening, and follow-up. Develop staff PD and teacher-parent discussion.

Western science and Islamic learners : informing constructivism, quality learning and `internationalising the curriculum`

This presentation reports on a two-phase research program which focuses on the experiences of Islamic-background learners in science/environmental education. The research program explores perceived dissonances between western science and Islamic belief as an issue for: the highly visible discourse of constructivism in science and environmental education; the policy challenges of ‘internationalising the university curriculum’; and the pedagogical challenge of ‘Quality Learning’ – in particular responding to ‘faith-based’ commitments in education.
Conceptually, the research program is conducted within a constructivist discourse. Essentially, we are proposing that dissonances experienced by Islamic-background learners in a western science curriculum (as reported in Sharifah, 2003), and the effects of these dissonances on how learners construct meaning in science, can be understood within a constructivist discourse. Further, we believe the research has the promise of not only exploring and explicating some of the issues experienced by teachers and learners in Islamic science education contexts (and thereby contributing to our understanding of the idea of ‘quality learning’), but also expanding our grasp of the expressions, implications and limitations of the constructivist hypothesis in education. In this sense it has a transformative agenda by working to improve access to and experience in the science curriculum for Muslim students.

Designing open-ended problems to challenge preservice teachers' views on mathematics and pedagogy

This study examines preservice elementary teachers' reported experiences of posing open-ended mathematics problems. Responses of 33 students in a mathematics teacher education course were analysed for the strategies participants used, what they learned and the challenges encountered from an opportunity to collect digital images and pose open-ended problems related to those images. Results indicate that preservice teachers reported a shift in the ways they viewed mathematics and how it might be taught. The school curriculum both constrained and provided possibilities for preservice teachers in noticing mathematics beyond the textbook and mathematics classroom. This study adds to our understanding of teaching as a learning practice and the art of posing mathematical problems as a significant aspect of that practice.

The employers' perspective of the impact of RICS education reform on building surveying

Purpose: This paper seeks to present the second part of research funded by the RICS Education Trust to investigate the impact of the 2001 education reforms on Building Surveying. The first part of the research involved the collection of data from university course leaders.

Design/methodology/approach: This research involved the collection of data from large national, mainly London-based, employers of building surveyors at a focus group meeting.

Findings: The paper finds that issues of concern to these employers include the extent of construction technology knowledge of graduates, the delivery of contract administration, the placement year, post-graduate conversion courses and the high referral rate for the Assessment of Professional Competence (APC). Recommendations include advice to universities on the design of building surveying undergraduate and conversion courses, a call for further research on the high APC referral rate, and greater liaison between industry and universities.

Research limitations/implications: The main limitation of the research is that the employers from whom data were collected were mainly large, national firms. Further research would be required to elicit the views of smaller regional organisations.

Practical implications: Both parts of this RICS Education Trust funded research provides a foundation for the Building Surveying Faculty of the RICS to complete their review of the education and training of building surveyors.

Originality/value: The research provides useful data on the impact of RICS education reform on building surveying, but mainly large, national firms.

Contemporary PE reform in China : teachers' talk

Among the many changes occurring across Chinese society in the early phase of Y2K is the construction and implementation of a new physical education (PE) curriculum. Not unlike recent changes in Australia, New Zealand and the UK, this process has seen a heightening of the profile of health. Presented within a wider framework for making the school curriculum more relevant, PE is more closely aligned with China's emerging health concerns around young people. Foremost here are burgeoning social anxieties about decreased levels of physical activity, dietary practices, risk-taking tendencies, and a general decline of social cohesion/connection across the profile of contemporary youth. This paper reports on a study undertaken to explore the experiences of Chinese PE teachers as they engage with the new curriculum.

The data reveals a number of structural, personal and cultural factors that work against teachers taking up the opportunities presented in the new curriculum. Prominent here are; low professional status, an expanding generation gap, lack of training and the grip of deeply rooted cultural values. Juxtaposed against the like experiences of PE teachers in Australia and the UK the paper concludes with practical recommendations for nurturing curriculum change in China.

From risk to relationship : redefining pedagogy through applied learning reform

The Victorian Certificate of Applied Learning (VCAL) emerged to provide more relevant curriculum programs that would cater for increasing retention rates of post-compulsory students. It is also an example of the ‘new’ learning arising from contemporary debates and reforms that highlight inadequacies of the more traditional modes of learning. This thesis focuses on the pedagogical and sociological issues emerging from the VCAL being introduced as an ‘alternative’ learning pathways for ‘at-risk’ students within a traditional secondary school culture. Through the eyes of an insider-researcher, the thesis argues for a deeper understanding of applied learning as a ‘re-engaging’ pedagogy by studying the schooling experience of VCAL students and teachers. The thesis concludes that traditional academic modes of teaching contribute to the social construction of ‘at-risk’ students and argues that secondary school pedagogy needs to be redefined as a cultural phenomenon requiring teachers to be reflexively aware of their role in bridging the gap between students’ life experiences and the curriculum.

Variables influencing the mathematics performance of first-year tertiary students : a case study

The need to understand which factors most strongly affect performance in first-year mathematics programs at Khon Kaen University (KKU), in North Eastern Thailand, provided the main focus of the study which is described. First-year mathematics students in the 1990-1991 academic year, from four KKU faculty groups (Medicine and Nursing, Agriculture, Science and Education, and Engineering) were involved in this study. Research literatures addressing variables which were likely to influence performance in early tertiary mathematical study, and variables associated with difficulties in learning mathematics at the transition from upper secondary school to tertiary studies, were reviewed. The first major aim of the study was to identify the variables which were good predictors of first-year mathematics performance at KKU. Results from stepwise multiple regression analyses indicated that the following predictor variables were statistically significant and entered the regression equations for most Faculty groups: School Mathematics Achievement, Self-Esteem, Study Habits in Mathematics, and Faculty of Study. Other predictor variables that sometimes entered regression equations (depending on the Faculty group) were Socio-Economic-Status, Mathematics Language Competence, Mathematics Confidence, Attitude Towards Mathematics, and Gender. Depending on Faculty group, the statistically significant variables accounted for between 11% and 74% of scores on fist-year KKU mathematics examinations. The predictor variables contributed much more to the variance of scores on first-semester mathematics examinations than to the variance of scores on second-semester mathematics examinations. It was also found that scores on the Direct Entry Examination Mathematics test (administered by KKU) and the School Mathematics Achievement test (developed and administered by the author) had stronger correlations with first-year KKU mathematics performance than did scores on the National Entry Examination Mathematics tests (administered by the Thai Ministry of University Affairs). Scores on the three pre-university mathematics achievement test instruments were better predictors of first-semester mathematics performance than of second-semester mathematics performance. It was found that the mean Mathematics Confidence of male students was statistically significantly higher than that of female students, but there were no statistically significant gender differences in Mathematics Misplaced Confidence. Only about 30% of the main sample ( 30% of the male and 30% of the female sample groups) had appropriate confidence in mathematics, that is, they thought their answers were correct when they were, in fact, correct, and they thought they were wrong when they were, in fact, incorrect. So far as Faculty performance differences were concerned, Engineering students had the highest Mathematics Confidence scores, followed by the Medicine and Nursing group of students and the Science and Education group students. Agriculture students had the lowest mean Mathematics Confidence score. No statistically significant differences occurred in Mathematics Misplaced Confidence between different Faculty groups. The second main aim of the study was to investigate why many first-year students experienced difficulties in coping with their mathematics units. A small group of senior secondary mathematics teachers, university mathematics lecturers, and first-year mathematics students were interviewed during the first semester of the 1990-1991 academic year. Interviews were conducted by the author according to a questionnaire format, and were aimed at identifying factors causing difficulty in the transition from senior secondary to university mathematical study. The analysis of the quantitative data together with the interview data indicated that the major sources of difficulty were associated with: (a) students' mathematical abilities; (b) curriculum content; (c) course organisation; (d) students' study habits; (e) instructional styles; and (f) assessment procedures. The results of the investigation are discussed in the light of the relevant literature and related research. The study concludes with recommendations which are addressed to mathematics teachers and education administrators in senior secondary schools in Thailand, to the Thai Ministry of Education, and to the KKU Department of Mathematics.

Implementation of student active learning in primary mathematics in Indonesia

Twenty years after the first pilot projects began to develop Student Active Learning (SAL) in Indonesia, and four years since it was adopted for use in the last provinces, this research investigates the implementation of Student Active Learning in Indonesian primary mathematics classrooms. A study of the relevant literature indicates that teaching based on constructivist principles is unlikely to be implemented well in mathematics classrooms unless there are high quality teachers, readily available manipulative materials, and a supportive learning environment. As Indonesian schools often lack one or more of these aspects, it seemed likely that Student Active Learning principles might not be ‘fully’ implemented in Indonesian primary mathematics classrooms. Thus a smaller scale, parallel study was carried out in Australian schools where there is no policy of Student Active Learning, but where its underlying principles are compatible with the stated views about learning and teaching mathematics. The study employed a qualitative interpretive methodology. Sixteen primary teachers from four urban and four rural Indonesian schools and four teachers from two Victorian schools were observed for four mathematics lessons each. The twenty teachers, as well as fourteen Indonesian headteachers and other education professionals, were interviewed in order to establish links between the background and beliefs of participants, and their implementation of Student Active Learning. Information on perceived constraints on the implementation of SAL was also sought. The results of this study suggest that Student Active learning has been implemented at four levels in Indonesian primary mathematics classrooms, ranging from essentially no implementation to a relatively high level of implementation, with an even higher level of implementation in three of the four Australian classrooms observed. Indonesian teachers, headteachers and supervisors hold a range of views of SAL and also of mathematics learning and teaching. These views largely depended on their in-service training in SAL and, more particularly, on their participation in the PEQIP project Typically, participants’ expressed views of SAL were at the same or higher level as their views of mathematics learning and teaching, with a similar pattern being observed in the relationship between these latter views and their implementation of SAL principles. Three factors were identified as influencing teacher change in terms of implementation of SAL: policy, curricular and organisational, and attitudes. Recommendations arising from this study include the adoption of reflection as an underlying principle in the theory of SAL, the continuation and extension of PEQIP type projects, changes in government policy on curriculum coverage and pre-service teacher training, and more support for teachers at the school and local authority levels.

Barriers to indigenous education and educational research reform in Australia

Across all Indigenous education sectors in Australia there continues to be extensive debate about the appropriateness of proposed assessment criteria, curriculum content, language of instruction, pedagogical approaches, research practices and institutional structures. Until relatively recently, policy initiatives targeting these issues have been developed and implemented separately and without reference to the interrelated nature of the barriers that confront Indigenous peoples in their attempts to challenge mainstream educational and research practices that potentially marginalise their individual and collective interests. Increasingly, these issues are being linked under the banner of 'Indigenous education reform', and the potential for collective Indigenous community action is being realised. The current Indigenous education reform process in Australia is concerned with reversing the trend associated with patterns of academic underachievement by Indigenous students in the nation's school systems. Concurrently, reforms in the area of Indigenous education research are concerned with achieving fundamental changes to the way Indigenous education research is initiated, constructed and practised. Mainstream institutions. Indigenous peoples and non-Indigenous peoples have different interests in the outcome of the resolution processes associated with proposals to reform Indigenous education and research practices. It is through investigation of stakeholder positioning in relation to key issues, and through reference to stakeholder interests in the outcome of negotiated resolutions, that a critical approach to analysing Indigenous education and research reform initiatives can be achieved. The three case studies contained within this portfolio represent an attempt to investigate the patterns of contestation associated with the delivery of primary school education for Aboriginal students in the Northern Territory and the problems associated with implementing reformed Indigenous education research guidelines. This research has revealed pervasive mainstream community and institutional support for assimilatory policies and a related lack of support for policies of Indigenous community 'self-determination1. This implies insufficient support within the Nation-State for Indigenous proposals for education and research reforms that legitimise the incorporation of Indigenous languages and cultural knowledge and that aim to re-position Indigenous peoples as central to the construction and delivery of education and educational research within their own communities. Common barriers to the implementation of reformed institutional structures and educational and research practices have been identified across each of the three case studies. The analysis of these common barriers points to a generalised statement about the nature of the resistance by mainstream Australians and their institutions to Indigenous community proposals for educational and research reforms. This research identifies key barriers to Indigenous Australian education and research reforms as being: Resurgent mainstream community and institutional support for assimilatory policies implies a lack of support for increasing the level of Indigenous community involvement in the construction and delivery of education and educational research; Mainstream institutional commitment to the principles of economic rationalism and the incorporation of corporate managerialist approaches reduces the potential for Indigenous community involvement in the setting of educational and research objectives; The education and social policy agendas of recent Australian governments are geared toward the achievement of national economic growth and the strengthening of Australia's position in the global economy. As a direct result, the unique cultural identities and linguistic heritages of Indigenous peoples in Australia are marginalised; Identified 'disempowenng' attitudes and practices of educators, researchers and institutional representatives continue to impact negatively upon the educational outcomes of Indigenous students; Insufficient institutional support for the development of mechanisms to ensure Indigenous community control over all aspects of the research project continues to impede the successful negotiation of research in Indigenous community contexts; The promotion of 'deficit' educational approaches for Indigenous students reinforces the marginalisation of their existing linguistic and cultural knowledge bases; The relationship between Indigenous and non-Indigenous peoples in Australia continues to be constrained by the philanthropically based 'donor-recipient' model of service delivery. The framing of Indigenous peoples as recipients of mainstream community benevolence has ongoing disempowering and negative consequences; Currently proposed national Indigenous education policies and programmes for the implementation of these polices do not adequately take into account the diversity in linguistic, political, cultural and social interests of Indigenous peoples in Australia; Widespread 'institutional racism' within mainstream educational institutions perpetuates the disadvantage experienced by Indigenous students and Indigenous community members who aim to derive benefit from education and educational research.

Re-engaging learners in schooling through applied learning reform : exploring the Victorian Certificate of Applied Learning as an 'alternative' senior schooling pathway in Australia

The Victorian Certificate of Applied Learning (VCAL) emerged in Australia to provide more relevant curriculum programs that would cater for increasing retention rates of high school students. It is also an example of the ‘new’ learning arising from contemporary debates and reforms that highlight inadequacies of the more traditional modes of learning. This book focuses on the pedagogical and sociological issues emerging from the VCAL being introduced as an ‘alternative’ learning pathway for ‘at-risk’ students within a traditional high school culture. Through the eyes of an insider- researcher, the book argues for a deeper understanding of applied learning as a ‘re-engaging’ pedagogy by studying the schooling experience of VCAL students and teachers. The book concludes that traditional modes of school teaching contribute to the social construction of ‘at-risk’ students and argues that high school pedagogy needs to be redefined as a cultural phenomenon requiring teachers to be reflexively aware of their role in bridging the gap between students’ life experiences and the curriculum.

Here they come, ready or not, but teacher's on the lookout! Assessing numeracy across the curriculum at Year 7 level

The notes and questions offered here are to provide some guidance for teachers, across all curriculum areas, who want to work together, taking a whole-school approach for ensuring students at the start of secondary school know their mathematics and how to apply it in other subjects.