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.

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.

Integrating Engineering Experiences within the Elementary Mathematics Curriculum

Engineering education for elementary school students is a new and increasingly important domain of research by mathematics, science, technology, and engineering educators. Recent research has raised questions about the context of engineering problems that are meaningful, engaging, and inspiring for young students. In the present study an environmental engineering activity was implemented in two classes of 11-year-old students in Cyprus. The problem required students to use the data to develop a procedure for selecting among alternative countries from which to buy water. Students created a range of models that adequately solved the problem although not all models took into account all of the data provided. The models varied in the number of problem factors taken into consideration and also in the different approaches adopted in dealing with the problem factors. At least two groups of students integrated into their models the environmental aspect of the problem (energy consumption, water pollution) and further refined their models. Results provide evidence that engineering model-eliciting activities can be successfully integrated in the elementary mathematics curriculum. These activities provide rich opportunities for students to deal with engineering contexts and to apply their learning in mathematics and science to solving real-world engineering problems.

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.

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.

Torres Strait Island parents' involvement in their children's mathematics learning : a discussion paper

This paper is a beginning point for discussing what the literature states about parents’ involvement in their children’s mathematics education. Where possible it will focus on Torres Strait Islander Peoples. Little is known about how Torres Strait Islander parents approach their children’s learning of mathematics and how important early mathematics is to mothers. What is known is that is they are keen for their children to receive an education that provides them with opportunities for their present and future lives. However, gaining access to education is challenging given that the language of instruction in schools is written to English conventions, decontextualised and disconnected from the students’ culture, community and home language. This paper discusses some of the issues raised in the literature about what parents are confronted with when making decisions about their children’s education.

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.

"I'm thinking 'bout moving in"... An examination of the issues impacting on the recruitment of secondary school graduates to the library and information profession

In recent years concern has been expressed internationally about the future of the library and information services (LIS) profession: recruitment and retention, changing skill sets and declining numbers of people choosing librarianship as a career are all factors contributing to an uncertain future. One area yet explored in any depth is the topic of why LIS studies are not perceived, let alone promoted, as a good first professional qualification for high school graduates. This paper considers the professional literature that examines the uptake of librarianship as a first qualification by school leavers and discusses, in the context of the Australian library sector, the role of professional associations, library schools, National and State Libraries, as well as individual libraries and librarians. Examples of best practice are presented to highlight the opportunities for inspiring and motivating students through well structured and stimulating work experience programs. The topic is relevant to all librarians who are interested in the future of the LIS profession. It is argued that the focus of the present conference on ‘moving up’ and ‘moving on’ can only have real significance when the profession has a more complete understanding of the barriers to and the opportunities for ‘moving in’.

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.

Integrating engineering education within the elementary and 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 discussion paper argues for the integration 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.

University library virtual reference services : best practices and continuous improvement

The inclusion or not of chat services within Virtual Reference (VR) is an important topic for university libraries. Increasingly, email supported by a Frequently Asked Questions (FAQ) database is suggested in the scholarly literature as the preferred, cost-effective means for providing university VR services. This paper examines these issues and identifies some best practices for university library VR services relating to chat and email service, collaborative service provision, services staffing, and staff training. Further studies are required to more completely identify best practices for the complete range of VR services.

The role of fluency in a mathematics item with an embedded graphic: Interpreting a pie chart.

The purpose of this study was to identify the pedagogical knowledge relevant to the successful completion of a pie chart item. This purpose was achieved through the identification of the essential fluencies that 12–13-year-olds required for the successful solution of a pie chart item. Fluency relates to ease of solution and is particularly important in mathematics because it impacts on performance. Although the majority of students were successful on this multiple choice item, there was considerable divergence in the strategies they employed. Approximately two-thirds of the students employed efficient multiplicative strategies, which recognised and capitalised on the pie chart as a proportional representation. In contrast, the remaining one-third of students used a less efficient additive strategy that failed to capitalise on the representation of the pie chart. The results of our investigation of students’ performance on the pie chart item during individual interviews revealed that five distinct fluencies were involved in the solution process: conceptual (understanding the question), linguistic (keywords), retrieval (strategy selection), perceptual (orientation of a segment of the pie chart) and graphical (recognising the pie chart as a proportional representation). In addition, some students exhibited mild disfluencies corresponding to the five fluencies identified above. Three major outcomes emerged from the study. First, a model of knowledge of content and students for pie charts was developed. This model can be used to inform instruction about the pie chart and guide strategic support for students. Second, perceptual and graphical fluency were identified as two aspects of the curriculum, which should receive a greater emphasis in the primary years, due to their importance in interpreting pie charts. Finally, a working definition of fluency in mathematics was derived from students’ responses to the pie chart item.