Handbook of International Research in Mathematics Education [3rd Ed.]

"This third edition ofthe Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mathematics education research spanning established and emerging topics, diverse workplace and school environments, and globally representative research priorities. New perspectives are presented on a range of critical topics including embodied learning, the theory-practice divide, new developments in the early years, educating future mathematics education professors, problem solving in a 21st century curriculum, culture and mathematics learning, complex systems, critical analysis of design-based research, multimodal technologies, and e-textbooks. Comprised of 12 revised and 17 new chapters, this edition extends the Handbook’s original themes for international research in mathematics education and remains in the process a definitive resource for the field."--Publisher website

Changing agendas in international research in mathematics education

Handbooks serve an important function for our research community in providing state-of-the-art summations, critiques, and extensions of existing trends in research. In the intervening years between the second and third editions of the Handbook of International Research in Mathematics Education, there have been stimulating developments in research, as well as new challenges in translating outcomes into practice. This third edition incorporates a number of new chapters representing areas of growth and challenge, in addition to substantially updated chapters from the second edition. As such, the Handbook addresses five core themes, namely, Priorities in International Mathematics Education Research, Democratic Access to Mathematics Learning, Transformations in Learning Contexts, Advances in Research Methodologies, and Influences of Advanced Technologies...

Pioneering use of narrative method in a first-year law course to provide an authentic, inquiry-based entry into the discipline of law

Law is saturated with stories. People tell their stories to lawyers; lawyers tell their client's stories to courts; and legislators develop regulation to respond to their constituent's stories of injustice or inequality. My approach to first-year legal education respects this narrative tradition. Both my curriculum design and assessment scheme in the compulsory first-year subject Australian Legal System deploy narrative methodology as the central teaching and learning device. Throughout the course, students work on resolving the problems of four hypothetical clients. Like a murder mystery, pieces of the puzzle come together as students learn more about legal institutions and the texts they produce, the process of legal research, the analysis and interpretation of primary legal sources, the steps in legal problem-solving, the genre conventions of legal writing style, the practical skills and ethical dimensions of professional practice, and critical inquiry into the normative underpinnings and impacts of the law. The assessment scheme mirrors this design. In their portfolio-based assignment, for example, students devise their own client profile, research the client's legal position and prepare a memorandum of advice.

Rights and wrongs of Australian government asylum seeker policy

Worldwide, no fewer than 50 million people a year are now fleeing dangerous and often life threatening situations in their countries of origin (UNHCR, 2014c). As one part of this movement, thousands risk journeys through dangerous waters hoping to obtain asylum in Australia. However, Australian Government policies adopted since 2013 aim to ensure that no asylum seeker nor any of the 3,500 detainees held in offshore detention centres will ever be settled on the mainland. To this has now been added a declaration that none of the recent refugees or 6200 asylum seekers waiting in Indonesia in centres run by the United Nations High Commissioner for Refugees (UNHCR) will gain entry (Whyte, 2014a). These immigration policies differ dramatically from those adopted in earlier decades that produced the country’s decidedly multicultural identity. This article reviews these changing perspectives of Australian governments and communities within the context of international obligations and expectations; the experiences of those directly involved in border policing practices and in detention centres; and the attitudes of national media. Relations and conflicts among the interests of the different parties are discussed and the scope for less punitive responses to the plight of asylum seekers is examined. The authors then focus on alternative processes to better address the interests and objectives of legitimately interested parties by processes which successively examine, optimise and reconcile the concerns of each. In so doing, they aim to demonstrate that such methods of sequential problem solving can respond effectively to the multiple concerns of the many significant stakeholders involved in increasingly significant global issues, whereas recourse to such single-goal, top-down programs as are expressed in the government’s current determination to “Stop the boats” at all costs are unlikely to prove sustainable.

Rethinking Culture and Diversity in Early Childhood Preservice Teacher Education: Looking at Teaching and Learning Through an Interdisciplinary Lens

Early Childhood Education (ECE) has a long history of building foundations for children to achieve their full potential, enabling parents to participate in the economy while children are cared for, addressing poverty and disadvantage, and building individual, community and societal resources. In so doing, ECE has developed a set of cultural practices and ways of knowing that shape the field and the people who work within it. ECE, consequently, is frequently described as unique and special (Moss, 2006; Penn, 2011). This works to define and distinguish the field while, simultaneously, insulating it from other contexts, professions, and ideas. Recognising this dualism illuminates some of the risks and challenges of operating in an insular and isolated fashion. In the 21st century, there are new challenges for children, families and societies to which ECE must respond if it is to continue to be relevant. One major issue is how ECE contributes to transition towards more sustainable ways of living. Addressing this contemporary social problem is one from which Early Childhood teacher education has been largely absent (Davis & Elliott, 2014), despite the well recognised but often ignored role of education in contributing to sustainability. Because of its complexity, sustainability is sometimes referred to as a ‘wicked problem’ (Rittel & Webber, 1973; Australian Public Service Commission, 2007) requiring alternatives to ‘business as usual’ problem solving approaches. In this chapter, we propose that addressing such problems alongside disciplines other than Education enables the Early Childhood profession to have its eyes opened to new ways of thinking about our work, potentially liberating us from the limitations of our “unique” and idiosyncratic professional cultures. In our chapter, we focus on understandings of culture and diversity, looking to broaden these by exploring the different ‘cultures’ of the specialist fields of ECE and Design (in this project, we worked with students studying Architecture, Industrial Design, Landscape Architecture and Interior Design). We define culture not as it is typically represented, i.e. in relation to ideas and customs of particular ethnic and language groups, but to the ideas and practices of people working in different disciplines and professions. We assert that different specialisms have their own ‘cultural’ practices. Further, we propose that this kind of theoretical work helps us to reconsider ways in which ECE might be reframed and broadened to meet new challenges such as sustainability and as yet unknown future challenges and possibilities. We explore these matters by turning to preservice Early Childhood teacher education (in Australia) as a context in which traditional views of culture and diversity might be reconstructed. We are looking to push our specialist knowledge boundaries and to extend both preservice teachers and academics beyond their comfort zones by engaging in innovative interdisciplinary learning and teaching. We describe a case study of preservice Early Childhood teachers and designers working in collaborative teams, intersecting with a ‘real-world’ business partner. The joint learning task was the design of an early learning centre based on sustainable design principles and in which early Education for Sustainability (EfS) would be embedded Data were collected via focus group and individual interviews with students in ECE and Design. Our findings suggest that interdisciplinary teaching and learning holds considerable potential in dismantling taken-for-granted cultural practices, such that professional roles and identities might be reimagined and reconfigured. We conclude the chapter with provocations challenging the ways in which culture and diversity in the field of ECE might be reconsidered within teacher education.

The reader-assembled narrative: Representing the random in print fiction

The growing interest in co-created reading experiences in both digital and print formats raises interesting questions for creative writers who work in the space of interactive fiction. This essay argues that writers have not abandoned experiments with co-creation in print narratives in favour of the attractions of the digital environment, as might be assumed by the discourse on digital development. Rather, interactive print narratives, in particular ‘reader-assembled narratives’ demonstrate a rich history of experimentation and continue to engage writers who wish to craft individual reading experiences for readers and to experiment with their own creative process as writers. The reader-assembled narrative has been used for many different reasons and for some writers, such as BS Johnson it is a method of problem solving, for others, like Robert Coover, it is a way to engage the reader in a more playful sense. Authors such as Marc Saporta, BS Johnson, and Robert Coover have engaged with this type of narrative play. This examination considers the narrative experimentation of these authors as a way of offering insights into creative practice for contemporary creative writers.

The shifting value of design in the Australian Architecture Industry

Architects regularly employ design as a problem-solving tool in the built environment. Within the design process, architects apply design thinking to reframe problems as opportunities, take advantage of contradictory information to develop new solutions, and differentiate outcomes based on context. This research aims to investigate how design can be better positioned to develop greater differentiated value to an architect’s current service offering, and how design as a strategy could be applied as a driver of business innovation within the Australian architecture industry. The research will explore literature relating to the future of architecture, the application of design thinking, and the benefits of strategic design. The future intent of the research is to develop strategies that improve the value offering of architects, and develop design led solutions that could be applied successfully to the business of architecture.

Pedagogical tools designed to promote engagement and active learning in the biomedical sciences and allied health disciplines

Perceiving students, science students especially, as mere consumers of facts and information belies the importance of a need to engage them with the principles underlying those facts and is counter-intuitive to the facilitation of knowledge and understanding. Traditional didactic lecture approaches need a re-think if student classroom engagement and active learning are to be valued over fact memorisation and fact recall. In our undergraduate biomedical science programs across Years 1, 2 and 3 in the Faculty of Health at QUT, we have developed an authentic learning model with an embedded suite of pedagogical strategies that foster classroom engagement and allow for active learning in the sub-discipline area of medical bacteriology. The suite of pedagogical tools we have developed have been designed to enable their translation, with appropriate fine-tuning, to most biomedical and allied health discipline teaching and learning contexts. Indeed, aspects of the pedagogy have been successfully translated to the nursing microbiology study stream at QUT. The aims underpinning the pedagogy are for our students to: (1) Connect scientific theory with scientific practice in a more direct and authentic way, (2) Construct factual knowledge and facilitate a deeper understanding, and (3) Develop and refine their higher order flexible thinking and problem solving skills, both semi-independently and independently. The mindset and role of the teaching staff is critical to this approach since for the strategy to be successful tertiary teachers need to abandon traditional instructional modalities based on one-way information delivery. Face-to-face classroom interactions between students and lecturer enable realisation of pedagogical aims (1), (2) and (3). The strategy we have adopted encourages teachers to view themselves more as expert guides in what is very much a student-focused process of scientific exploration and learning. Specific pedagogical strategies embedded in the authentic learning model we have developed include: (i) interactive lecture-tutorial hybrids or lectorials featuring teacher role-plays as well as class-level question-and-answer sessions, (ii) inclusion of “dry” laboratory activities during lectorials to prepare students for the wet laboratory to follow, (iii) real-world problem-solving exercises conducted during both lectorials and wet laboratory sessions, and (iv) designing class activities and formative assessments that probe a student’s higher order flexible thinking skills. Flexible thinking in this context encompasses analytical, critical, deductive, scientific and professional thinking modes. The strategic approach outlined above is designed to provide multiple opportunities for students to apply principles flexibly according to a given situation or context, to adapt methods of inquiry strategically, to go beyond mechanical application of formulaic approaches, and to as much as possible self-appraise their own thinking and problem solving. The pedagogical tools have been developed within both workplace (real world) and theoretical frameworks. The philosophical core of the pedagogy is a coherent pathway of teaching and learning which we, and many of our students, believe is more conducive to student engagement and active learning in the classroom. Qualitative and quantitative data derived from online and hardcopy evaluations, solicited and unsolicited student and graduate feedback, anecdotal evidence as well as peer review indicate that: (i) our students are engaging with the pedagogy, (ii) a constructivist, authentic-learning approach promotes active learning, and (iii) students are better prepared for workplace transition.

Kulttuurierot ja kielimuuri valtanäkökulmasta suomalais-puolalaisessa työyhteisössä

The thesis deals with cultural differences and language barrier in a Finnish-Polish working environment. The object is to find out what kind of language and cultural practices prevail and what are their consequences. This qualitative research focuses on problem solving strategies used to manage language barrier and cultural differences and their effect on power relations within the working environment and in relation to e.g. parent company, business partners or customers. The research data was collected by half-structured individual interviews of 24 Finns and Poles in seven companies in Poland. The research indicates that language practices as well as Polish employees' language skills significantly affect information flows: those Poles, who have good language skills, are less dependent on their Finnish superior and thanks to their contacts with Finnish parent company they gain adequate information. Different time perceptions next to the perceived slowness of Finns are one of the most important factors causing cultural conflicts in the researched working environments. Most often mentioned by Finns were issues of trust. However, the problematic issues brought up most were often things that the respondents could not influence since they did not concern the closest working environment but others. It seems that the contrast that used to be strong between superiors and subordinates in Poland has - partly due to the Finns' informal management style - in these mixed working environments transformed into a contrast between own working environment and the outsiders.

Major practicum as a learning site for exercise science professionals: A pilot study

Exercise science is now an integral part of the allied health framework in Australia and graduates from accredited programmes are equipped with skills recognised as being important in the prevention and management of lifestyle-related diseases. This pilot study sought to determine the experiences of 11 final-year exercise science students in their major practicum and identify skills learned and developed while on placement. Analysis of the interview data established that the students worked with clients from a broad range of sociocultural and socioeconomic backgrounds, both within and between practicum sites; the students’ experiences and their preparedness to engage with clients from different backgrounds varied as a result. Although the students generally reported being technically skilled for their major placement, many reported being underprepared to deal with people from different backgrounds. However, all participants held that their interpersonal skills greatly improved in response to their placement and several remarked that they developed their problem-solving skills through watching and assisting their supervisors work with clients. The present study confirms the practicum as a critical learning site for improving communication and problem-solving skills with exercise science and exercise physiology students.

Post-industrial Intervention : An Activity-Theoretical Expedition Tracing the Proximal Development of Forms of Conducting Interventions

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Constructing skilled images

When experts construct mental images, they do not rely only on perceptual features; they also access domain-specific knowledge and skills in long-term memory, which enables them to exceed the capacity limitations of the short-term working memory system. The central question of the present dissertation was whether the facilitating effect of long-term memory knowledge on working memory imagery tasks is primarily based on perceptual chunking or whether it relies on higher-level conceptual knowledge. Three domains of expertise were studied: chess, music, and taxi driving. The effects of skill level, stimulus surface features, and the stimulus structure on incremental construction of mental images were investigated. A method was developed to capture the chunking mechanisms that experts use in constructing images: chess pieces, street names, and visual notes were presented in a piecemeal fashion for later recall. Over 150 experts and non-experts participated in a total of 13 experiments, as reported in five publications. The results showed skill effects in all of the studied domains when experts performed memory and problem solving tasks that required mental imagery. Furthermore, only experts' construction of mental images benefited from meaningful stimuli. Manipulation of the stimulus surface features, such as replacing chess pieces with dots, did not significantly affect experts' performance in the imagery tasks. In contrast, the structure of the stimuli had a significant effect on experts' performance in every task domain. For example, taxi drivers recalled more street names from lists that formed a spatially continuous route than from alphabetically organised lists. The results suggest that the mechanisms of conceptual chunking rather than automatic perceptual pattern matching underlie expert performance, even though the tasks of the present studies required perception-like mental representations. The results show that experts are able to construct skilled images that surpass working memory capacity, and that their images are conceptually organised and interpreted rather than merely depictive.

Esimiestaitojen tärkeys, hallinta ja kehitystarpeet

This study examines the leadership skills in municipal organisation. The study reflects the manager views on leadership skills required. The purpose of this study was to reflect the most important leadership skills currently and in the future as well as the control of these skills. The study also examines the importance of the change and development needs of the leadership skills. In addition, the effect of background variables on evaluation of leadership skills were also examined. The quantitative research method was used in the study. The material was collected with the structured questionnaire from 324 Kotka city managers. SPSS-program was used to analyse the study material. Factor analysis was used as the main method for analysis. In addition, mean and standard deviations were used to better reflect the study results. Based on the study results, the most important leadership skills currently and in the future are associated with internet skills, work control, problem solving and human resource management skills. Managers expected the importance of leadership skills to grow in the future. Main growth is associated with the software utilisation, language skills, communication skills as well as financial leadership skills. Strongest competence according to managers is associated with the internet skills. Managers also considered to control well the skills related to employee know-how and manager networking. In addition, significant development needs are required in leadership skills. Main improvement areas were discovered in software utilisation, work control, human resource management skills as well as skills requiring problem solving. It should be noted that the main improvement areas appeared in the leadership skills that were evaluated as most important apart from software utilisation. Position, municipal segments and sex were observed to explain most of the deviation in received responses.

Monikulttuurisen akateemisen opetuksen hallinta

Starting point for the study was the notion made in previous studies that the Finnish educational practices are not sufficient in multicultural teaching. The main objective of the research was to find out good multicultural teaching practices developed by experienced teachers. The subject of the research was teachers narratives about the problems, solutions and the development of multicultural academic teaching. Previous research has shown that disturbances in multicultural activity can be caused among other things by cultural and linguistic differences, racism and prejudice and stress related to immigration. The management of multicultural teaching can be examined from the individual point of view as intercultural competence and from the collective point of view as management of the disturbances of multicultural teaching. The development of the management has been illustrated with the models of adaptation and transformative/expansive learning. The methodological approach of the research was narrative. I interviewed six teachers with narrative methods. Half of the interviews were pair interviews. As an analytical framework I used the basic story model by Labov (1972). I analysed critical incidents, resolutions and evaluations of the stories. According to the results the problems of the multicultural academic teaching are diverse. Most often mentioned problems were cultural differences and racism. Problems were managed by developing practices that support the multicultural activity broadly and by reacting to sudden problems intuitively or reflectively. In the management of the academic multicultural teaching the experienced teachers emphasised flexibility, group building and trust, intensified guidance, acting against racism and prejudice and characteristics of the teacher, like patience and sense of humour. The management of multicultural teaching has developed through the accumulation of intercultural experiences, reflection of experiences, cooperative problem solving, following the research of the field and experimenting different approaches. In accordance with the previous studies, this research showed that continuous learning is needed in the management of multicultural teaching. The results can be used in developing academic multicultural teaching and education.

Kohti ulkorajoja : Lukion toimintakulttuurikuvaus ohjauksen ja johtamisen näkökulmasta

The aim of this qualitative study is to chart the operational context of the upper-secondary school principals and the historical, cultural and structural factors that steer their day-to-day work. The concepts regarding the study environment and operational culture are defined and analysed in terms of how they are interrelated. Furthermore it is explained why the upper-secondary schools must describe their operational culture within the curriculum. The study also aims to connect the description of the operational culture with the operational system of the upper-secondary school and to analyse the descriptions of the five upper-secondary schools in relation to the commitment to developing a study environment conducive to learning and participation, as well as conducive to supporting interaction. Interview data is used to provide the background for the description of the operational culture and to particularise the results of the analysis. According to the theory used in this study, the steering sources of the day-to-day work of the upper-secondary school are the rules system of the state, the municipality, the curriculum, and on the level of the upper-secondary school administration. The research data consist of the literature concerning the steering, steering forms and the principals professional picture in general terms, from 1950 to the present, and the steering texts concerning the educational environment and operational culture. Furthermore the research data include five descriptions of the operational culture concerning the upper-secondary school, the action reports and student guides. The methods of analysis include the level model and content analysis. The first is a part of the theory used in this study. For the purpose of content analysis, moreover, classifying grounds are established on the basis of theoretical and empirical research data. A result of this study is that, from the perspective of steering, the function of describing the operational culture is clearly linked to the evaluation supporting the goals and the vision of a learning organization. From an administrative point of view, a description is a problem-solving strategy and an instrument of evaluation. The study environment is a structural context in and through which the actors of the school create, change and renew the elements of the structure rooted in the context; this structure is their historically and culturally mediated way of thinking and acting. The initial situation and orientation of the students affect the emphasis of the operational culture descriptions; principals also have their own personal style of leadership. Key words: source of steering, educational environment, operational culture, self-evaluation, learning organisation