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.

Getting skilled for education, training and employment : Indigenous Cultural Knowledges and mainstream knowledges of mathematics

This abstract is a preliminary discussion of the importance of blending of Indigenous cultural knowledges with mainstream knowledges of mathematics for supporting Indigenous young people. This import is emphasised in the documents Preparing the Ground for Partnership (Priest, 2005), The Indigenous Education Strategic Directions 2008–2011 (Department of Education, Training and the Arts, 2007) and the National Goals for Indigenous Education (Department of Education, Employment and Work Relations, 2008). These documents highlight the contextualising of literacy and numeracy to students’ community and culture (see Priest, 2005). Here, Community describes “a culture that is oriented primarily towards the needs of the group. Martin Nakata (2007) describes contextualising to culture as about that which already exists, that is, Torres Strait Islander community, cultural context and home languages (Nakata, 2007, p. 2). Continuing, Ezeife (2002) cites Hollins (1996) in stating that Indigenous people belong to “high-context culture groups” (p. 185). That is, “high-context cultures are characterized by a holistic (top-down) approach to information processing in which meaning is “extracted” from the environment and the situation. Low-context cultures use a linear, sequential building block (bottom-up) approach to information processing in which meaning is constructed” (p.185). In this regard, students who use holistic thought processing are more likely to be disadvantaged in mainstream mathematics classrooms. This is because Westernised mathematics is presented as broken into parts with limited connections made between concepts and with the students’ culture. It potentially conflicts with how they learn. If this is to change the curriculum needs to be made more culture-sensitive and community orientated so that students know and understand what they are learning and for what purposes.

Property Education : an evaluation of how well undergraduate property students are prepared for commencing their careers

The evolution of property education to adapt to the changing business environment requires changes to course content, method of delivery and assessment. Many universities have a special interest in understanding how the students transition in and transition out of the property programs. The impact of the first year student experience is often easier to assess through students’ progression in the course and performance in their intermediate and advanced units. However, the students’ success in transitioning from university student to property professional is often more difficult to determine. In an environment where many property students commence their professional careers while still completing their undergraduate property qualification, a survey of current final year students was undertaken to identify the students’ perception of their level of preparedness for entry into the professional world. This study has also been informed by feedback received from and informal discussions held with industry representative bodies, alumni and senior members of professional organisations. The QUT UD40 Bachelor of Urban Development, Property Economics course has been designed to achieve graduate capabilities in core technical skills and generic professional skills which are required by property professionals. The results of this study were that some units in the program were perceived to provide direct preparation for students commencing their professional careers whilst the impact of other units was less tangible. Valuable feedback received during the study included an assessment of the relevance of many multi-disciplinary units, the appropriateness of the programming of units within the course and the appropriateness of repetition of content during the course. The further research question arises as to how universities can better assist students in the transition to the professional environment when frequently this occurs prior to completion of the property course.

Humanistic science education : moves from within and challenges from without

For a number of years now it has been evident that the major issue facing science educators in the more developed countries of the world is the quantitative decline in enrolments in the senior secondary sciences, particularly the physical sciences, and in the number of higher achieving students applying for places in universities to undertake further studies in science. The deep malaise in school science to which these quantitative measures point has been elucidated by more qualitative studies of the students’ experience of studying science in secondary school in several of these countries (Sweden, Lindahl (2003); England, Simon and Osborne (2002); and Australia, Lyons (2005)). Remarkably concordant descriptions of these experiences can be summarized as: School science is: • transmission of knowledge from the teacher or the textbook to the students. • about content that is irrelevant and boring to our lives. • difficult to learn in comparison with other subjects Incidentally, the Australian study only involved consistently high achieving students; but even so, most of them found science more difficult than other more interesting subjects, and concluded that further science studies should be avoided unless they were needed for some career purpose. Other more representative confirmations of negative evaluations of the science curricula across Australia (and in particular states) are now available in Australia, from the large scale reviews of Goodrum, Hackling and Rennie (2001) and from the TIMSS (2002). The former reported that well under half of secondary students find the science at school relevant to my future, useful ion everyday life, deals with things I am concerned with and helps me make decisions about my health.. TIMSS found that 62 and 65 % of females and males in Year 4 agree with I like learning science, but by Year 8 only 26 and 33 % still agree. Students in Japan have been doubly notably because of (a) their high performance in international measures of science achievement like TIMSS and PISA and (b) their very low response to items in these studies which relate to interest in science. Ogura (2003) reported an intra-national study of students across Years 6-9 (upper primary through Junior High); interest in a range of their subjects (including science) that make up that country’s national curriculum. There was a steady decline in interest in all these subjects which might have indicated an adolescent reaction against schooling generally. However, this study went on to ask the students a further question that is very meaningful in the Japanese context, If you discount the importance of this subject for university entrance, is it worth studying? Science and mathematics remained in decline while all the other subjects were seen more positively. It is thus ironic, at a time when some innovations in curriculum and other research-based findings are suggesting ways that these failures of school science might be corrected, to find school science under a new demands that come from quite outside science education, and which certainly do not have the correction of this malaise as a priority. The positive curricular and research findings can be characterized as moves from within science education, whereas the new demands are moves that come from without science education. In this paper I set out these two rather contrary challenges to the teaching of science as it is currently practised, and go on to suggest a way forward that could fruitfully combine the two.

Integrating engineering education in the middle school mathematics curriculum

Many nations are experiencing a decline in the number of graduating engineers, an overall poor preparedness for engineering studies in tertiary institutions, and a lack of diversity in the field. Given the increasing importance of mathematics, science, engineering, and technology in our world, it is imperative that we foster an interest and drive to participate in engineering from an early age. This discuission paper argues for the intergration of engineering education within the elementary and middle school mathematics curricula. In doing so, we offer a definition of engineering education and address its core goals; consider some perceptions of engineering and engineering education held by teachers and students; and offer one approach to promoting engineering education within the elementary and middle school mathematics curriculum, namely through mathematical modeling.

Theory and its role in mathematics education

The increased recognition of the theory in mathematics education is evident in numerous handbooks, journal articles, and other publications. For example, Silver and Herbst (2007) examined ―Theory in Mathematics Education Scholarship‖ in the Second Handbook of Research on Mathematics Teaching and Learning (Lester, 2007) while Cobb (2007) addressed ―Putting Philosophy to Work: Coping with Multiple Theoretical Perspectives‖ in the same handbook. And a central component of both the first and second editions of the Handbook of International Research in Mathematics Education (English, 2002; 2008) was ―advances in theory development.‖ Needless to say, the comprehensive second edition of the Handbook of Educational Psychology (Alexander & Winne, 2006) abounds with analyses of theoretical developments across a variety of disciplines and contexts. Numerous definitions of ―theory‖ appear in the literature (e.g., see Silver & Herbst, in Lester, 2007). It is not our intention to provide a ―one-size-fits-all‖ definition of theory per se as applied to our discipline; rather we consider multiple perspectives on theory and its many roles in improving the teaching and learning of mathematics in varied contexts.

Introducing Engineering Education in the Middle School

This paper first describes a new three-year, longitudinal project that is implementing engineering education in three middle schools in Australia (grade levels 7-9). This important domain is untapped in Australia. Hence, as a starting point, we conducted a context analysis to help situate engineering education in a school system. We report on this analysis with respect to findings from one of two literature-based surveys that gathered middle-school student responses in mathematics (n=172) and science (n=166) towards understanding their dispositions for engineering education. ANOVA indicated gender differences for 3 out of 23 items in both mathematics and science. In addition, the majority of students agreed or strongly agreed with 17 of the 23 survey items, however, there were some differences between mathematics and science. We conclude the paper with some recommendations for establishing engineering education in schools, including the development of partnerships among engineering and education faculties, school systems, and industry to develop contemporary engineering resources to support school-level mathematics, science, and technology.

A Malaysian tale : pre-service teacher education and ICT integration for a better world

The use of Information and Communication Technologies (ICT) in education is often a topic of much discussion within all sectors of education with educators and educational researchers continually looking for innovative ways of using these technologies to support and enhance student outcomes in education. Consequently, Malaysia is no exception to this and as the Ministry of Education (MOE), Malaysia strives to meet its government’s Vision 2020, educational reform across all educational sectors has become imperative. ICT will play an integral role in the educational reform process and teacher education programs are no exception to this. ICT and capacity building will play an important role in the re-conceptualisation of teacher education programs. This paper reports on how a collaborative capacity building project between two Malaysian teacher education Institutes and an Australian University has given lecturers and pre-service teachers an opportunity to redefine their use of ICT in their prospective teaching areas of science, mathematics and design and technology. It also highlights the positive capacity building programs that occurred between both Australian university lecturers and Malaysian Institute lecturers and how this contributed to the effective integration and use of ICT.

Cooperative learning in Thailand : professional development to enhance primary education

The overall purpose of this study was to develop a model to inform the design of professional development programs and the implementation of cooperative learning within Thai primary school mathematics classrooms. Action research design, with interviews, surveys and observations, was used for this study. Survey questionnaires and classroom observations investigated the factors that influence the implementation of cooperative learning strategies and academic achievement in Thai primary school mathematics classrooms. The teachers’ interviews and classroom observation also examined the factors that need to be addressed in teacher professional development programs in order to facilitate cooperative learning in Thai mathematics classrooms. The outcome of this study was a model consisting of two sets of criteria to inform the successful implementation of cooperative learning in Thai primary schools. The first set of criteria was for proposers and developers of professional development programs. This set consists of macro- and micro-level criteria. The macro-level criteria focus on the overall structure of professional development programs and how and when the professional development programs should be implemented. The micro-level criteria focused on the specific topics that need to be included in professional development programs. The second set of criteria was for Thai principals and teachers to facilitate the introduction of cooperative learning in their classrooms. The research outcome also indicated that the attainment of these cooperative learning strategies and skills had a positive impact on the students’ learning of mathematics.

Recognising and respecting Torres Strait Islander mathematics knowledges and home languages through mainstream mathematics education [Abstract]

This abstract provides a preliminary discussion of the importance of recognising Torres Strait Islander knowledges and home languages of mathematics education. It stems from a project involving Torres Strait Islander Teachers and Teacher Aides and university based researchers who are working together to enhance the mathematics learning of students from Years 4-9. A key focus of the project is that mathematics is relevant and provides students with opportunities for further education, training and employment. Veronica Arbon (2008) questions the assumptions underpinning Western mainstream education as beneficial for Aboriginal and Torres Strait Islander people which assumes that it enables them to better participate in Australian society. She asks “how de we best achieve outcomes for and with Indigenous people conducive to our cultural, physical and economic sustainability as defined by us from Indigenous knowledge positions?” (p. 118). How does a mainstream education written to English conventions provide students with the knowledge and skills to participate in daily life, if it does not recognise the cultural identity of Indigenous students as it should (Priest, 2005; cf. Schnukal, 2003)? Arbon (2008) states that this view is now brought into question with calls for both ways education where mainstream knowledge and practices is blended with Indigenous cultural knowledges of learning. This project considers as crucial that cultural knowledges and experiences of Indigenous people to be valued and respected and given the currency in the same way that non Indigenous knowledge is (Taylor, 2003) for both ways education to work.

A 'deleterious' effect? : Australian legal education and the production of the legal identity

A body of critical legal scholarship argues that, by the time they have completed their studies, students who enter legal education holding social ideals and intending to use their legal education to achieve social change, have become cynical about the ability of the law to do so and no longer possess such ideals. This is explained by critical scholars to be the result of a process of ideological indoctrination, aimed at ensuring that graduates uphold the narrow and conservative interests of the legal profession and capitalist society, being exercised by law schools acting as adjuncts of the legal profession, and exercised upon the passive body of the law student. By using Foucault’s work on knowledge, power, and the subject to interrogate the assumptions upon which this narrative is based, this thesis intends to suggest a way of thinking differently to the approach taken by many critical legal scholars. It then uses an analytics of government (based on Foucault’s notion of ‘governmentality’) to consider the construction of the legal identity differently. It examines the ways in which the governance of the legal identity is rationalised, programmed, and implemented, in three Queensland law schools. It also looks at the way that five prescriptive texts to ‘surviving’ law school suggest students establish and practise a relation to themselves in order to construct their own legal identities. Overall, this analysis shows that governance is not simply conducted in the profession’s interests, but occurs due to a complex arrangement of different practices, which can lead to the construction of skilled legal professional identities as well as ethical lawyer-citizens that hold an interest in justice. The implications of such an analytics provide the basis for original ways of understanding legal education, and legal education scholarship.

Problem solving in a middle school robotics design classroom

Little research has been conducted on how students work when they are required to plan, build and evaluate artefacts in technology rich learning environments such as those supported by tools including flow charts, Labview programming and Lego construction. In this study, activity theory was used as an analytic tool to examine the social construction of meaning. There was a focus on the effect of teachers’ goals and the rules they enacted upon student use of the flow chart planning tool, and the tools of the programming language Labview and Lego construction. It was found that the articulation of a teacher’s goals via rules and divisions of labour helped to form distinct communities of learning and influenced the development of different problem solving strategies. The use of the planning tool flow charting was associated with continuity of approach, integration of problem solutions including appreciation of the nexus between construction and programming, and greater educational transformation. Students who flow charted defined problems in a more holistic way and demonstrated more methodical, insightful and integrated approaches to their use of tools. The findings have implications for teaching in design dominated learning environments.

A constructivist approach to media literacy education: The role of the library

An informed citizenry is essential to the effective functioning of democracy. In most modern liberal democracies, citizens have traditionally looked to the media as the primary source of information about socio-political matters. In our increasingly mediated world, it is critical that audiences be able to effectively and accurately use the media to meet their information needs. Media literacy, the ability to access, understand, evaluate and create media content is therefore a vital skill for a healthy democracy. The past three decades have seen the rapid expansion of the information environment, particularly through Internet technologies. It is obvious that media usage patterns have changed dramatically as a result. Blogs and websites are now popular sources of news and information, and are for some sections of the population likely to be the first, and possibly only, information source accessed when information is required. What are the implications for media literacy in such a diverse and changing information environment? The Alexandria Manifesto stresses the link between libraries, a well informed citizenry and effective governance, so how do these changes impact on libraries? This paper considers the role libraries can play in developing media literate communities, and explores the ways in which traditional media literacy training may be expanded to better equip citizens for new media technologies. Drawing on original empirical research, this paper highlights a key shortcoming of existing media literacy approaches: that of overlooking the importance of needs identification as an initial step in media selection. Self-awareness of one’s actual information need is not automatic, as can be witnessed daily at reference desks in libraries the world over. Citizens very often do not know what it is that they need when it comes to information. Without this knowledge, selecting the most appropriate information source from the vast range available becomes an uncertain, possibly even random, enterprise. Incorporating reference interview-type training into media literacy education, whereby the individual will develop the skills to interrogate themselves regarding their underlying information needs, will enhance media literacy approaches. This increased focus on the needs of the individual will also push media literacy education into a more constructivist methodology. The paper also stresses the importance of media literacy training for adults. Media literacy education received in school or even university cannot be expected to retain its relevance over time in our rapidly evolving information environment. Further, constructivist teaching approaches highlight the importance of context to the learning process, thus it may be more effective to offer media literacy education relating to news media use to adults, whilst school-based approaches focus on types of media more relevant to young people, such as entertainment media. Librarians are ideally placed to offer such community-based media literacy education for adults. They already understand, through their training and practice of the reference interview, how to identify underlying information needs. Further, libraries are placed within community contexts, where the everyday practice of media literacy occurs. The Alexandria Manifesto stresses the link between libraries, a well informed citizenry and effective governance. It is clear that libraries have a role to play in fostering media literacy within their communities.

Library technician course recognition : meeting the challenge of a distributed national education program

This paper looks at the challenges presented for the Australian Library and Information Association by its role as the professional association responsible for ensuring the quality of Australian library technician graduates. There is a particular focus on the issue of course recognition, where the Association's role is complicated by the need to work alongside the national quality assurance processes that have been established by the relevant technical education authorities. The paper describes the history of course recognition in Australia; examines the relationship between course recognition and other quality measures; and describes the process the Association has undertaken recently to ensure appropriate professional scrutiny in a changing environment of accountability.

Aligning policy with practice: an evaluation of vocational education and training in the library and information services sector

Vocational education and training for the library and information services (LIS) sector in Australia offers students the career pathway to become library technicians. Library technicians play a valuable role in drawing on sound practical knowledge and skills to support the delivery of library and information services that meet client needs. Over the past forty years, the Australian Library and Information Association (ALIA) has monitored the quality of library technician courses. Since 2005, ALIA has run national professional development days for library technician educators with the goal of establishing an alternative model for course recognition focusing on the process of peer review to benchmark good practice and stimulate continuous improvement in library technician education. This initial developmental work has culminated in 2009 with site visits to all library technician courses in Australia. The paper presents a whole-of-industry case study to critically review the work undertaken to date.