Towards New Teaching in Mathematics How to Realize Inquiry Based and Problem Oriented Mathematics Lessons?

Дагмар Рааб Математиката е вълнуваща и забавна. Можем ли да убедим учениците, че това може да стане действителност. Задачите са най-важните инструменти за учителите по математика, когато планират уроците си. Планът трябва да съдържа идеи как да се очертае и как да се жалонира пътят, по който учениците ще стигнат до решението на дадена задача. Учителите не трябва да очакват от учениците си просто да кажат кой е отговорът на задачата, а да ги увлекат в процеса на решаване с подходящи въпроси. Ролята на учителя е да помогне на учениците • да бъдат активни и резултатни при решаването на задачи; • самите те да поставят задачи; • да модифицират задачи; • да откриват закономерности; • да изготвят стратегии за решаване на задачи; • да откриват и изследват различни начини за решаване на задачи; • да намират смислена връзка между математическите си знания и проблеми от ежедневието. В доклада са представени избрани и вече експериментирани примери за това как учители и ученици могат да намерят подходящ път към нов тип преживявания в преподаването и изучаването на училищната математика.

Achievements and Problems in the In-service Teacher Education in Inquiry Based Style

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2015

Inquiring Minds Want to Know: Inquiry-Based Learning in the General Education and Inclusion Science Classroom

This study sought to apply the concepts of inquiry-based learning by increasing the number of laboratory experiments conducted in two science classes, and to identify the challenges of this instruction for students with special needs. Results showed that the grades achieved through lab write-ups greatly improved grades overall.

Curriculum development in a heritage language community-based school: A Qualitative inquiry regarding a Brazilian-Portuguese program in South Florida

This research aimed to describe, understand, and discuss the curriculum development process of a Brazilian-Portuguese heritage language community-based school in South Florida. This study was guided by the following research questions: (a) What roles does this HL community-based school aim to play for its students? This investigation was also related to the subsidiary question: (b) How does this HL community-based school organize its curriculum development process? In order to explore these research questions, I observed and interviewed teachers and coordinators based on a qualitative research approach. I analyzed the interviews’ transcripts, and the program’s website with a central focus of describing and understanding their curriculum development process. Hopefully, the findings will help Brazilian and other HL community schools toward discussing and elaborating their own curriculum development, as well as to look for specific teacher training courses.

Printmaking as an expanding field in contemporary art practice : a case study of Japan, Australia and Thailand

This thesis proposes that contemporary printmaking, at its most significant, marks the present through reconstructing pasts and anticipating futures. It argues this through examples in the field, occurring in contexts beyond the Euramerican (Europe and North America). The arguments revolve around how the practice of a number of significant artists in Japan, Australia and Thailand has generated conceptual and formal innovations in printmaking that transcend local histories and conventions, whilst paradoxically, also building upon them and creating new meanings. The arguments do not portray the relations between contemporary and traditional art as necessarily antagonistic but rather, as productively dialectical. Furthermore, the case studies demonstrate that, in the 1980s and 1990s particularly, the studio practice of these printmakers was informed by other visual arts disciplines and reflected postmodern concerns. Departures from convention witnessed in these countries within the Asia-Pacific region shifted the field of the print into a heterogeneous and hybrid realm. The practitioners concerned (especially in Thailand) produced work that was more readily equated with performance and installation art than with printmaking per se. In Japan, the incursion of photography interrupted the decorative cast of printmaking and delivered it from a straightforward, craft-based aesthetic. In Australia, fixed notions of national identity were challenged by print practitioners through deliberate cultural rapprochements and technical contradictions (speaking across old and new languages).However time-honoured print methods were not jettisoned by any case study artists. Their re-alignment of the fundamental attributes of printmaking, in line with materialist formalism, is a core consideration of my arguments. The artists selected for in-depth analysis from these three countries are all innovators whose geographical circumstances and creative praxis drew on local traditions whilst absorbing international trends. In their radical revisionism, they acknowledged the specificity of history and place, conditions of contingency and forces of globalisation. The transformational nature of their work during the late twentieth century connects it to the postmodern ethos and to a broader artistic and cultural nexus than has hitherto been recognised in literature on the print. Emerging from former guild-based practices, they ambitiously conceived their work to be part of a continually evolving visual arts vocabulary. I argue in this thesis that artists from the Asia-Pacific region have historically broken with the hermetic and Euramerican focus that has generally characterised the field. Inadequate documentation and access to print activity outside the dominant centres of critical discourse imply that readings of postmodernism have been too limited in their scope of inquiry. Other locations offer complexities of artistic practice where re-alignments of customary boundaries are often the norm. By addressing innovative activity in Japan, Australia and Thailand, this thesis exposes the need for a more inclusive theoretical framework and wider global reach than currently exists for ‘printmaking’.

Digital kids, analogue students : a mixed methods study of students' engagement with a school-based Web 2.0 learning innovation

The inquiry documented in this thesis is located at the nexus of technological innovation and traditional schooling. As we enter the second decade of a new century, few would argue against the increasingly urgent need to integrate digital literacies with traditional academic knowledge. Yet, despite substantial investments from governments and businesses, the adoption and diffusion of contemporary digital tools in formal schooling remain sluggish. To date, research on technology adoption in schools tends to take a deficit perspective of schools and teachers, with the lack of resources and teacher ‘technophobia’ most commonly cited as barriers to digital uptake. Corresponding interventions that focus on increasing funding and upskilling teachers, however, have made little difference to adoption trends in the last decade. Empirical evidence that explicates the cultural and pedagogical complexities of innovation diffusion within long-established conventions of mainstream schooling, particularly from the standpoint of students, is wanting. To address this knowledge gap, this thesis inquires into how students evaluate and account for the constraints and affordances of contemporary digital tools when they engage with them as part of their conventional schooling. It documents the attempted integration of a student-led Web 2.0 learning initiative, known as the Student Media Centre (SMC), into the schooling practices of a long-established, high-performing independent senior boys’ school in urban Australia. The study employed an ‘explanatory’ two-phase research design (Creswell, 2003) that combined complementary quantitative and qualitative methods to achieve both breadth of measurement and richness of characterisation. In the initial quantitative phase, a self-reported questionnaire was administered to the senior school student population to determine adoption trends and predictors of SMC usage (N=481). Measurement constructs included individual learning dispositions (learning and performance goals, cognitive playfulness and personal innovativeness), as well as social and technological variables (peer support, perceived usefulness and ease of use). Incremental predictive models of SMC usage were conducted using Classification and Regression Tree (CART) modelling: (i) individual-level predictors, (ii) individual and social predictors, and (iii) individual, social and technological predictors. Peer support emerged as the best predictor of SMC usage. Other salient predictors include perceived ease of use and usefulness, cognitive playfulness and learning goals. On the whole, an overwhelming proportion of students reported low usage levels, low perceived usefulness and a lack of peer support for engaging with the digital learning initiative. The small minority of frequent users reported having high levels of peer support and robust learning goal orientations, rather than being predominantly driven by performance goals. These findings indicate that tensions around social validation, digital learning and academic performance pressures influence students’ engagement with the Web 2.0 learning initiative. The qualitative phase that followed provided insights into these tensions by shifting the analytics from individual attitudes and behaviours to shared social and cultural reasoning practices that explain students’ engagement with the innovation. Six indepth focus groups, comprising 60 students with different levels of SMC usage, were conducted, audio-recorded and transcribed. Textual data were analysed using Membership Categorisation Analysis. Students’ accounts converged around a key proposition. The Web 2.0 learning initiative was useful-in-principle but useless-in-practice. While students endorsed the usefulness of the SMC for enhancing multimodal engagement, extending peer-topeer networks and acquiring real-world skills, they also called attention to a number of constraints that obfuscated the realisation of these design affordances in practice. These constraints were cast in terms of three binary formulations of social and cultural imperatives at play within the school: (i) ‘cool/uncool’, (ii) ‘dominant staff/compliant student’, and (iii) ‘digital learning/academic performance’. The first formulation foregrounds the social stigma of the SMC among peers and its resultant lack of positive network benefits. The second relates to students’ perception of the school culture as authoritarian and punitive with adverse effects on the very student agency required to drive the innovation. The third points to academic performance pressures in a crowded curriculum with tight timelines. Taken together, findings from both phases of the study provide the following key insights. First, students endorsed the learning affordances of contemporary digital tools such as the SMC for enhancing their current schooling practices. For the majority of students, however, these learning affordances were overshadowed by the performative demands of schooling, both social and academic. The student participants saw engagement with the SMC in-school as distinct from, even oppositional to, the conventional social and academic performance indicators of schooling, namely (i) being ‘cool’ (or at least ‘not uncool’), (ii) sufficiently ‘compliant’, and (iii) achieving good academic grades. Their reasoned response therefore, was simply to resist engagement with the digital learning innovation. Second, a small minority of students seemed dispositionally inclined to negotiate the learning affordances and performance constraints of digital learning and traditional schooling more effectively than others. These students were able to engage more frequently and meaningfully with the SMC in school. Their ability to adapt and traverse seemingly incommensurate social and institutional identities and norms is theorised as cultural agility – a dispositional construct that comprises personal innovativeness, cognitive playfulness and learning goals orientation. The logic then is ‘both and’ rather than ‘either or’ for these individuals with a capacity to accommodate both learning and performance in school, whether in terms of digital engagement and academic excellence, or successful brokerage across multiple social identities and institutional affiliations within the school. In sum, this study takes us beyond the familiar terrain of deficit discourses that tend to blame institutional conservatism, lack of resourcing and teacher resistance for low uptake of digital technologies in schools. It does so by providing an empirical base for the development of a ‘third way’ of theorising technological and pedagogical innovation in schools, one which is more informed by students as critical stakeholders and thus more relevant to the lived culture within the school, and its complex relationship to students’ lives outside of school. It is in this relationship that we find an explanation for how these individuals can, at the one time, be digital kids and analogue students.

Testing the effectiveness of a Practice Development intervention on changing the culture of evidence based practice in an acute care environment

In this age of evidence-based practice, nurses are increasingly expected to use research evidence in a systematic and judicious way when making decisions about patient care practices. Clinicians recognise the role of research when it provides valid, realistic answers in practical situations. Nonetheless, research is still perceived by some nurses as external to practice and implementing research findings into practice is often difficult. Since its conceptual platform in the 1960s, the emergence and growth of Nursing Development Units, and later, Practice Development Units has been described in the literature as strategic, organisational vehicles for changing the way nurses think about nursing by promoting and supporting a culture of inquiry and research-based practice. Thus, some scholars argue that practice development is situated in the gap between research and practice. Since the 1990s, the discourse has shifted from the structure and outcomes of developing practice to the process of developing practice, using a Practice Development methodology; underpinned by critical social science theory, as a vehicle for changing the culture and context of care. The nursing and practice development literature is dominated by descriptive reports of local practice development activity, typically focusing on reflection on processes or outcomes of processes, and describing perceived benefits. However, despite the volume of published literature, there is little published empirical research in the Australian or international context on the effectiveness of Practice Development as a methodology for changing the culture and context of care - leaving a gap in the literature. The aim of this study was to develop, implement and evaluate the effectiveness of a Practice Development model for clinical practice review and change on changing the culture and context of care for nurses working in an acute care setting. A longitudinal, pre-test/post-test, non-equivalent control group design was used to answer the following research questions: 1. Is there a relationship between nurses' perceptions of the culture and context of care and nurses' perceptions of research and evidence-based practice? 2. Is there a relationship between engagement in a facilitated process of Practice Development and change in nurses' perceptions of the culture and context of care? 3. Is there a relationship between engagement in a facilitated process of Practice Development and change in nurses' perceptions of research and evidence-based practice? Through a critical analysis of the literature and synthesis of the findings of past evaluations of Nursing and Practice Development structures and processes, this research has identified key attributes consistent throughout the chronological and theoretical development of Nursing and Practice Development that exemplify a culture and context of care that is conducive to creating a culture of inquiry and evidence-based practice. The study findings were then used in the development, validation and testing of an instrument to measure change in the culture and context of care. Furthermore, this research has also provided empirical evidence of the relationship of the key attributes to each other and to barriers to research and evidence-based practice. The research also provides empirical evidence regarding the effectiveness of a Practice Development methodology in changing the culture and context of care. This research is noteworthy in its contribution to advancing the discipline of nursing by providing evidence of the degree to which attributes of the culture and context of care, namely autonomy and control, workplace empowerment and constructive team dynamics, can be connected to engagement with research and evidence-based practice.

Teaching and learning in a context-based chemistry classroom

Many current chemistry programs privilege de-contextualised conceptual learning, often limited by a narrow selection of pedagogies that too often ignore the realities of studentse own lives and interests (e.g., Tytler, 2007). One new approach that offers hope for improving studentse engagement in learning chemistry and perceived relevance of chemistry is the context-based approach. This study investigated how teaching and learning occurred in one year 11 context-based chemistry classroom. Through an interpretive methodology using a case study design, the teaching and learning that occurred during one term (ten weeks) of a unit on Water Quality are described. The researcher was a participant observer in the study who co-designed the unit of work with the teacher. The research questions explored the structure and implementation of the context-based approach, the circumstances by which students connected concepts and context in the context-based classroom and the outcome of the approach for the students and the teacher. A dialectical sociocultural theoretical framework using the dialectics of structure | agency and agency | passivity was used as a lens to explore the interactions between learners in different fields, such as the field of the classroom and the field of the local community. The findings of this study highlight the difficulties teachers face when implementing a new pedagogical approach. Time constraints and opportunities for students to demonstrate a level of conceptual understanding that satisfied the teacher, hindered a full implementation of the approach. The study found that for high (above average) and sound (average) achieving students, connections between sanctioned science content of school curriculum and the studentse out-of-school worlds were realised when students actively engaged in fields that contextualised inquiry and gave them purpose for learning. Fluid transitions or the toing and froing between concepts and contexts occurred when structures in the classroom afforded students the agency to connect concepts and contexts. The implications for teaching by a context-based approach suggest that keeping the context central, by teaching content on a "need-to-know" basis, contextualises the chemistry for students. Also, if teachers provide opportunities for student-student interactions and written work student learning can improve.

Developing a culture of enquiry to sustain evidence-based practice

Evidence-based practice (EBP) is having a significant effect on the health service environment. It constructs a language that bridges the healthcare disciplines and the clinical and managerial components of health services. Most experienced clinicians in nursing, medicine and allied health now recognise that the contemporary healthcare environment calls for our practice to be justified by sound, credible evidence. There is pressure on all clinicians to accommodate innovation, while at the same time ensuring their practice is effective, safe and efficient (Forbes & Griffiths 2002). Consequently, EBP in healthcare is having a profound effect on nursing and the way we think about nursing. There are many available models for research utilisation that are dependent on organisational strategies for change. This chapter describes the relationship between organisation and culture, and explores the notion of cultural change; that is, developing a culture of inquiry that can sustain evidence-based practice. We begin this chapter with a clear conception of what we mean by EBP and what we mean by ‘culture’.

Designing ePortfolios for music postgraduate study : a practice-led inquiry

In this research I have examined how ePortfolios can be designed for Music postgraduate study through a practice led research enquiry. This process involved designing two Web 2.0 ePortfolio systems for a group of five post graduate music research students. The design process revolved around the application of an iterative methodology called Software Develop as Research (SoDaR) that seeks to simultaneously develop design and pedagogy. The approach to designing these ePortfolio systems applied four theoretical protocols to examine the use of digitised artefacts in ePortfolio systems to enable a dynamic and inclusive dialogue around representations of the students work. The research and design process involved an analysis of existing software and literature with a focus upon identifying the affordances of available Web 2.0 software and the applications of these ideas within 21st Century life. The five post graduate music students each posed different needs in relation to the management of digitised artefacts and the communication of their work amongst peers, supervisors and public display. An ePortfolio was developed for each of them that was flexible enough to address their needs within the university setting. However in this first SoDaR iteration data gathering phase I identified aspects of the university context that presented a negative case that impacted upon the design and usage of the ePortfolios and prevented uptake. Whilst the portfolio itself functioned effectively, the university policies and technical requirements prevented serious use. The negative case analysis of the case study found revealed that Access and Control and Implementation, Technical and Policy Constraints protocols where limiting user uptake. From the semistructured interviews carried out as part of this study participant feedback revealed that whilst the participants did not use the ePortfolio system I designed, each student was employing Web 2.0 social networking and storage processes in their lives and research. In the subsequent iterations I then designed a more ‘ideal’ system that could be applied outside of the University context that draws upon the employment of these resources. In conclusion I suggest recommendations about ePortfolio design that considers what the applications of the theoretical protocols reveal about creative arts settings. The transferability of these recommendations are of course dependent upon the reapplication of the theoretical protocols in a new context. To address the mobility of ePortfolio design between Institutions and wider settings I have also designed a prototype for a business card sized USB portal for the artists’ ePortfolio. This research project is not a static one; it stands as an evolving design for a Web 2.0 ePortfolio that seeks to refer to users needs, institutional and professional contexts and the development of software that can be incorporated within the design. What it potentially provides to creative artist is an opportunity to have a dialogue about art with artefacts of the artist products and processes in that discussion.

Paving for diverse pathways : using industry-linked learning to support Performing Arts students in their transition to protean careers

Statistics presented in Australia Council reports such as Don’t Give Up Your Day Job (2003), and Artswork: A Report On Australians Working in the Arts 1 and 2 (1997, 2005), and in other studies on destinations for Performing Arts graduates, demonstrate the diversity of post-graduation pathways for our students, the prevalence of protean careers, and the challenges in developing a sense of professional identity in a context where a portfolio of work across performance making, producing, administration and teaching can make it difficult for young artists to establish career status and capital in conventional terms (cf. Dawn Bennett, “Academy and the Real World: Developing Realistic Notions of Career in the Performing Arts”, Arts & Humanities in Higher Education, 8.3, 2009). In this panel, academics from around Australia will consider the ways in which Drama, Theatre and Performance Studies as a discipline is deploying a variety of practical, professional and work-integrated teaching and learning activities – including performance-making projects, industry projects, industry placements and student-initiated projects – to connect students with the networks, industries and professional pathways that will support their progression into their career. The panellists include Bree Hadley (Queensland University of Technology), Meredith Rogers (La Trobe University), Janys Hayes (Woolongong University) and Teresa Izzard (Curtin University). The panelists will present insights into the activities they have found successful, and address a range of questions, including: How do we introduce students to performance-making and / or producing models they will be able to employ in their future practice, particularly in light of the increasingly limited funds, time and resources available to support students’ participation in full-scale productions under the stewardship of professional artists?; How and when do we introduce students to industry networks?; How do we cater for graduates who will work as performers, writers, directors or administrators in the non-subsidised sector, the subsidised sector, community arts and education?; How do we category cater for graduates who will go on to pursue their work in a practice-as-research context in a Higher Degree?; How do we assist graduates in developing a professional identity? How do we assist graduates in developing physical, professional and personal resilience?; How do we retain our connections with graduates as part of their life-long learning?; Do practices and processes need to differ for city or regionally based / theoretically or practically based degree programs?; How do our teaching and learning activities align with emergent policy and industrial frameworks such as the shift to the “Producer Model” in Performing Arts funding, or the new mentorship, project, production and enterprise development opportunities under the Australia Council for the Arts’ new Opportunities for Young and Emerging Artists policy framework?

An evidence-based approach to professional development planning in large state educational systems

This paper presents a systems-level approach for adjudicating the prioritization, selection, and planning of inservcie professional development (PD) for teachers. We present a step-by-step model for documenting and assessing system-wide 'bids' for professional development programs