Assessment in tertiary mathematics

There is a growing consensus among many educators that the goals of teaching and learning mathematics are to help students solve real-life problems, participate intelligently in daily affairs, and prepare them for jobs (Gardiner, 1994; Roeber, 1995). These goals suggest that the role of routine procedural skills should be diminished while more emphasis ought to be placed on learners gaining conceptual insights and analytical skills that appear essential in real-life mathematical problem solving (Schoenfeld, 1993; Stenmark, 1989).

Implementation of an integrated, technology-based, discovery mode assessment item involving an incubation period to enhance learning outcomes for engineering maths students

In this paper we discuss our current efforts to develop and implement an exploratory, discovery mode assessment item into the total learning and assessment profile for a target group of about 100 second level engineering mathematics students. The assessment item under development is composed of 2 parts, namely, a set of "pre-lab" homework problems (which focus on relevant prior mathematical knowledge, concepts and skills), and complementary computing laboratory exercises which are undertaken within a fixed (1 hour) time frame. In particular, the computing exercises exploit the algebraic manipulation and visualisation capabilities of the symbolic algebra package MAPLE, with the aim of promoting understanding of certain mathematical concepts and skills via visual and intuitive reasoning, rather than a formal or rigorous approach. The assessment task we are developing is aimed at providing students with a significant learning experience, in addition to providing feedback on their individual knowledge and skills. To this end, a noteworthy feature of the scheme is that marks awarded for the laboratory work are primarily based on the extent to which reflective, critical thinking is demonstrated, rather than the amount of CBE-style tasks completed by the student within the allowed time. With regard to student learning outcomes, a novel and potentially critical feature of our scheme is that the assessment task is designed to be intimately linked to the overall course content, in that it aims to introduce important concepts and skills (via individual student exploration) which will be revisited somewhat later in the pedagogically more restrictive formal lecture component of the course (typically a large group plenary format). Furthermore, the time delay involved, or "incubation period", is also a deliberate design feature: it is intended to allow students the opportunity to undergo potentially important internal re-adjustments in their understanding, before being exposed to lectures on related course content which are invariably delivered in a more condensed, formal and mathematically rigorous manner. In our presentation, we will discuss in more detail our motivation and rationale for trailing such a scheme for the targeted student group. Some of the advantages and disadvantages of our approach (as we perceived them at the initial stages) will also be enumerated. In a companion paper, the theoretical framework for our approach will be more fully elaborated, and measures of student learning outcomes (as obtained from eg. student provided feedback) will be discussed.

Changing assessment practices : the case for online moderation

Online moderation meetings have the potential to support the collaborative professional development of teachers, and the formation of a common understanding of what denotes quality in student work in a standards based assessment system. In doing so systemic calls for consistency across education systems are also being met. In this paper a case for employing online moderation meetings is developed through recourse to the demands of learning in the twenty-first century and the place of assessment within those discourses. It is argued that empirical data is needed on the efficacy of online moderation meetings to guide future practice as the use of information and communication technologies increases in education systems. Online moderation is one way of gathering teachers across vast distances to share their understandings and develop common meanings of assessment. While it is suggested that online moderation is one possible procedure to meet systemic requirements and support teachers’ professional collaboration, the implementation of such a system also introduces new challenges for schools and teachers. Meeting online to discuss professional understandings is a new way of operating for teachers and involves technology that has not yet been fully utilised within education departments. Issues such as the types of interactions that are afforded within such an environment, as well as technical operating problems that occur when using technology impact on the employment of online meetings. Online moderation meetings while potentially solving the issue of developing common understandings across an entire department also pose new issues to be resolved. There is a need for research into the efficacy of online moderation meetings so that future policy decisions may be based on sound empirical data. It is imperative that as new ways of knowing and acting are incorporated into school curriculum and pedagogy, assessment practices are also aligned. Online moderation meetings can support such practices by enabling teachers to communicate with a wider and more diverse group of teachers to establish common understandings.

The world of science education : handbook of research in Australasia

The focus of this Handbook is on Australasia (a region loosely recognized as that which includes Australia and New Zealand plus nearby Pacific nations such as Papua New Guinea, Solomon Islands, Fiji, Tonga, Vanuatu, and the Samoan islands) science education and the scholarship that most closely supports this program. The reviews of the research situate what has been accomplished within a given field in Australasian rather than international context. The purpose therefore is to articulate and exhibit regional networks and trends that produced specific forms of science education. The thrust lies in identifying the roots of research programs and sketching trajectories—focusing the changing façade of problems and solutions within regional contexts. The approach allows readers review what has been done and accomplished, what is missing, and what might be done next.

Introduction : science education research in Australasia : an overview

This chapter overviews the major themes of research reviewed and justifies the selection of topics.

ASERA : an uncontroversial evolution

The Australasian Science Education Research Association Ltd. (ASERA) is the oldest educational research association in Australasia. Starting as an informal meeting of science educators at Monash University in May 1970, it has evolved progressively without major controversy into a formally constituted limited company that promotes science education at all levels and contexts. There are no revelations of fractures within the association, and no accounts of major controversy, other than reference to a few grumbles here and there when changes were proposed. So, has the ASERA experience been positive and uplifting for all? Are there unspoken controversies? Can the uncontroversial be made controversial?

Looking for Daisy : constructing teacher identities

Research on teacher identities is both important and increasing. In this forum contribution I re-interpret assertions about an African American science teacher’s identities in terms of Jonathon Turner’s (2002) constructs of role identity and sub-identity. I contest the notion of renegotiation of identities, suggesting that particular role identities can be brought to the foreground and then backgrounded depending on the situation and the need to confirm a sub-identity. Finally, I recommend the inclusion of teachers’ voices in identity research through greater use of co-authoring roles for teachers.

ASERA : brief histor(y/ies)

This collection of historical accounts provides diverse perspectives on the structure and culture of the community of researchers who participate in activities of the Australasian Science Education Research Association (ASERA). It describes the formation of the Association, and identifies major changes and challenges for the ever growing and internationalisation of its membership.

Exploring the resistance : an Australian perspective on educating for sustainability in early childhood

Climate change and sustainability are issues of global significance. While other education sectors have implemented education for sustainability for many years, the early childhood sector has been slow to take up this challenge. This position paper poses the question: Why has this sector been so slow to engage with sustainability? Explanations are proposed based on a review of research literature and the authors’ long engagement in seeking to bring early childhood education and education for sustainability together. The imperative is for the early childhood sector to engage in education for sustainability without delay and to ‘get active’ for a sustainable future.

Homework for refugee middle school students with backgrounds marked by low levels of engagement with English school literacy

Homework presents many challenges for refugees from Africa who are arriving in Australian schools with histories of little, no or severely interrupted schooling. This is evident in the emergence of school- and community-based homework help, clubs and tutoring programs for the students. The aim of this article is to describe the homework support options accessed by eight students from Burundi, Rwanda, Eritrea and Sudan who participated in a study of pedagogy for middle school-aged African refugees, and the views on homework of their parents and teachers. The article shows some tensions between family and school expectations and the dilemmas that arise for teachers in a broader context of public concern about and official policy statement on excessive and repetitive homework. It is argued that application of policy guidelines needs to account for disadvantages that potentially accrue to students who cannot design their own independent study programs. Further, it is suggested that integration of skills and meaning-based pedagogy inherent in recent approaches to literacy education has potential for ensuring that students receive the forms of homework they require.

Engaging with the promises of education : African refugee students in Australian secondary schools

The research reported in this paper investigated the engagement of students who arrived in Australian secondary schools as refugees from Africa. Enrolment of large cohorts of refugees from Africa is a relatively new phenomenon in the English-speaking West. The literature provides evidence that emotional engagement with the promises of schooling is strong for many of the young African refugees. Students envision successful professional careers as doctors, engineers, lawyers, and IT experts; they envision returning to their country as professionals able to help the people. The question investigated in this paper is: How does schooling in Australia impact on young African refugees’ education and career aspirations? Engagement is understood in Bourdieuian terms as dispositions to be and to become an educated person. This is a disposition which entails fundamental belief in the value of the stakes of schooling. The data analysed in the paper were produced in a study undertaken in the state of Queensland where 5000 of the 39 000 African refugees who have arrived in Australia since 2000 have settled. Semi-structured interviews were conducted with students and their parents and teachers after arrival in an intensive language school, and then after transition to a regular secondary school. The findings show both the durability and malleability of educational dispositions in conditions of dramatic social change occasioned by refugee experience. Engagement in the stakes of schooling is both built and eroded as students flee their homelands for countries of refuge. Previously unimaginable educational dreams are possible for some; but for others, long-held dreams become unattainable. The paper concludes with recommendations for better supporting young people through this re-shaping of self.

Intercultural conversation : building understanding together

Classroom talk has long been recognised as central to student learning. Efforts are made therefore to 'stretch', 'extend' or 'push' English-language learners' (ELLS') linguistic and conceptual development by promoting more complex instructional talk. Conversation is a two-way activity, yet the focus is often directed to the ELL. To address this gap, this article suggests ideas for developing the capabilities of all students -- ELLS or otherwise -- for instructional conversations in mainstream classrooms where English is used by some as a first or only language, and by others as a second language.

Defining an Identity : The Evolution of Science Education

Research in science education is now an international activity. This book asks for the first time, Does this research activity have an identity?-It uses the significant studies of more than 75 researchers in 15 countries to see to what extent they provide evidence for an identity as a distinctive field of research.-It considers trends in the research over time, and looks particularly at what progression in the research entails.-It provides insight into how researchers influence each other and how involvement in research affects the being of the researcher as a person.-It addresses the relation between research and practice in a manner that sees teaching and learning in the science classroom as interdependent with national policies and curriculum traditions about science. It gives graduate students and other early researchers an unusual overview of their research area as a whole. Established researchers will be interested in, and challenged by, the identity the author ascribes to the research and by the plea he makes for the science content itself to be seen as problematic.

Report on Innovation Working Group : The Mathematics Education into the 21st Century Project. Dresden, Saxony

This document reports on the Innovations Working Group that met at the 10th International Conference “Models in Developing Mathematics Education” from the 11-17th September 2009 in Dresden, Saxony. It briefly describes the over arching and consistent themes that emerged from the numerous papers presented. The authors and titles of each of the papers presented will be listed in Table 2.