Dictionary learning and sparse coding on Grassmann manifolds : an extrinsic solution

Recent advances in computer vision and machine learning suggest that a wide range of problems can be addressed more appropriately by considering non-Euclidean geometry. In this paper we explore sparse dictionary learning over the space of linear subspaces, which form Riemannian structures known as Grassmann manifolds. To this end, we propose to embed Grassmann manifolds into the space of symmetric matrices by an isometric mapping, which enables us to devise a closed-form solution for updating a Grassmann dictionary, atom by atom. Furthermore, to handle non-linearity in data, we propose a kernelised version of the dictionary learning algorithm. Experiments on several classification tasks (face recognition, action recognition, dynamic texture classification) show that the proposed approach achieves considerable improvements in discrimination accuracy, in comparison to state-of-the-art methods such as kernelised Affine Hull Method and graph-embedding Grassmann discriminant analysis.

Primary school teachers' conceptions of pedagogical responses to concepts of diverse sexualities

This thesis reports on a social constructionist study that identified teachers' conceptions of their pedagogical responses to concepts of diverse sexualities in primary schools in Queensland. The study shows that teachers face a range of scenarios in which students raise awareness of diverse sexualities as part of their everyday experiences, yet teachers have little guidance about how to respond.

Understanding preservice teachers’ development of pedagogical knowledge practices when co-teaching primary science to peers

Preservice teachers articulate the need for more teaching experiences for developing their practices, however, extending beyond existing school arrangements may present difficulties. Thus, it is important to understand preservice teachers’ development of pedagogical knowledge practices when in the university setting. This mixed-method study investigated 48 second-year preservice teachers’ development of pedagogical knowledge practices as a result of co-teaching primary science to peers. Data were collected through a survey, video-recorded lessons, extended written responses and researcher observations. The study showed how these preservice teachers demonstrated 9 of 11 pedagogical knowledge practices within the co-teaching arrangement. However, research is needed to determine the level of development on each pedagogical knowledge practice and how these practices can be transferred into authentic primary classroom settings.

Linking pedagogical knowledge practices and student outcomes in STEM education for primary schools

STEM education is a new frontier in Australia, particularly for primary schools. However, the E in STEM needs to have a stronger focus with science and mathematics concepts aligned to the presiding curricula. In addition, pedagogical knowledge practices such as planning, preparation, teaching strategies, assessment and so forth need to be connected to key concepts for developing a STEM education. One of the aims of this study was to understand how a pedagogical knowledge practice framework could be linked to student outcomes in STEM education. Specifically, this qualitative research investigated Year 4 students’ involvement in an integrated STEM education program that focused on science concepts (e.g., states of matter, testing properties of materials) and mathematics concepts (such as 3D shapes and metric measurements: millilitres, temperature, grams, centimetres) for designing, making and testing a strong and safe medical kit to insulate medicines at desirable temperatures. Eleven pedagogical knowledge practices (e.g., planning, preparation, teaching strategies, classroom management, and assessment) were used as a framework for understanding how teaching may be linked to student outcomes in STEM education. For instance, “planning” involved devising a student booklet as a resource for students to understand the tasks required of them, which also provided space for them to record ideas, results and information. Planning involved linking national and state curriculum documents to the STEM education activities. More studies are required around pedagogical knowledge frameworks to understand what students learn when involved in STEM education, particularly with the inclusion of engineering education.

Sustainable Pedagogical Change for Embedding Reflective Learning Across Higher Education Programs

For pedagogical change to be sustained over time, and over the span of higher education courses, it needs to be framed widely, rather than ‘tacked on’. The framing includes curriculum reform and resource provision alongside staff pedagogical development. This is especially true for initiatives (such as reflective writing and assessment) that target broad-based, high-level skills and dispositions. For various reasons, such initiatives can easily become lost because of the discipline-specific focus of a syllabus outweighs the initiative, or because lack of resources compromises a desired approach. Course improvement in higher education contexts is typically difficult and episodic. In such circumstances, we argue that a strategic and trustworthy approach is necessary where practitioner-lead pedagogic development is fostered through trust and communication and is purposefully embedded within key dimensions of curriculum integration and resource provision. This chapter describes an approach to pedagogical change where curriculum, pedagogy and resources are simultaneously and collaboratively orchestrated to provide an effective framework for sustainable and effective change. A robust conceptual model is proposed to guide the implementation of such change.

Practice-based learning in community contexts: A collaborative exploration of pedagogical principles

The primary focus of this chapter is an exploration of four pedagogical principles emerging from a practice-based learning lab. Following an overview of community engaged learning and the Lab approach, the chapter is structured around a discussion of pedagogical principles related to (1) collaboration, (2) interdisciplinarity, (3) complexity and uncertainty and (4) reflection. Through a participatory action research (PAR) framework, students, academics and community partners have worked to identify and refine what it takes to support students negotiate complexity and uncertainty inherent in problems facing communities. It also examines the pedagogical strategies employed to facilitate collaboration across disciplines and professional contexts in ways that leverage difference and challenge values and practices.

Pedagogical relations in the age of big data [Commentary]

Introduction A pedagogical relationship - the relationship produced through teaching and learning - is, according to phenomenologist Max van Maanen, ‘the most profound relationship an adult can have with a child’ (van Maanen 1982). But what does it mean for a teacher to have a ‘profound’ relationship with a student in digital times? What, indeed, is an optimal pedagogical relationship at a time when the exponential proliferation and transformation of information across the globe is making for unprecedented social and cultural change? Does it involve both parties in a Facebook friendship? Being snappy with Snapchat? Tumbling around on Tumblr? There is now ample evidence of a growing trend to displace face-to-face interaction by virtual connections. One effect of these technologically mediated relationships is that a growing number of young people experience relationships as ‘mile-wide, inch-deep’ phenomena. It is timely, in this context, to explore how pedagogical relationships are being transmuted by Big Data, and to ask about the implications this has for current and future generations of professional educators.

Re/membering Pedagogical Spaces

Educational spaces across the world largely continue to be designed with little variance from the traditional industrial classroom model, and pedagogies seem stuck somewhere between the Sage-on-the-Stage, lecture-dominated paradigm, and the Guide-on-the-Side, in which the instructor acts primarily as an aide watching, encouraging, and monitoring students working on projects individually or in groups. Rather than “reinventing the wheel,” the authors argue for an academic environment based on the British coffee house or French café of the 18th and 19th centuries. Not only should this 21st-century classroom offer an innovative melding of space and technology but also introduce a new pedagogical model. The Meddler-in-the-Middle model repositions the teacher and students as co-facilitators in the creation and use of knowledge in an environment where bodies move seamlessly in and out of collegial collaborations filled with free-to-fail open debate.

Overcoming acculturation: Physical education recruits' experiences of an alternative pedagogical approach to games teaching

Background Physical education teacher education (PETE) programmes have been identified as a critical platform to encourage the exploration of alternative teaching approaches by pre-service teachers. However, the socio-cultural constraint of acculturation or past physical education and sporting experiences results in the maintenance of the status quo of a teacher-driven, reproductive paradigm. Previous studies have reported successfully overcoming the powerful influence of acculturation, resulting in a change in PETE students’ custodial teaching beliefs and receptiveness to alternative teaching approaches. However, to date, limited information has been reported about how PETE students’ acculturation shaped their receptiveness to an alternative teaching approach. This is particularly the case for PETE recruits identified in the literature as most resistant to change. Purpose To explore the features and experiences of an alternative games teaching approach that appealed to PETE recruits’ identified as most resistant to change, requiring a specific sample of PETE recruits with strong, custodial, traditional physical education teaching beliefs, and whom are high achieving sporting products of this traditional culture. The alternative teaching approach explored in this study is the constraints-led approach (CLA), which is similar operationally to TGfU, but distinguished by a neurobiological theoretical framework (nonlinear pedagogy) that informs learning design. Participants and Setting A purposive sample of 10 Australian PETE students was recruited for the study. All participants initially had strong, custodial, traditional physical education teaching beliefs, and were successful sporting products of this teaching approach. After experiencing the CLA as learners during a games unit, participants demonstrated receptiveness to the alternative pedagogy. Data Collection and Analysis Semi-structured interviews and written reflections were sources of data collection. Each participant was interviewed separately, once prior to participation in the games unit to explore their positive physical education experiences, and then again after participation to explore the specific games unit learning experiences that influenced their receptiveness to the alternative pedagogy. Participants completed written reflections about their personal experiences after selected practical sessions. Data were qualitatively analysed using grounded theory. Findings: Thorough examination of the data resulted in establishment of two prominent themes related to the appeal of the CLA for the participants: (i) psychomotor (effective in developing skill), and (ii), inclusivity (included students of varying skill level). The efficacy of the CLA in skill development was clearly an important mediator of receptiveness for highly successful products of a traditional culture. This significant finding could be explained by three key factors: the acculturation of the participants, the motor learning theory underpinning the alternative pedagogy and the unit learning design and delivery. The inclusive nature of the CLA provided a solution to the problem of exclusion, which also made the approach attractive to participants. Conclusion PETE educators could consider these findings when introducing an alternative pedagogy aimed at challenging PETE recruits’ custodial, traditional teaching beliefs. To mediate receptiveness, it is important that the learning theory underpinning the alternative approach is operationalised in a research-informed pedagogical learning design that facilitates students’ perceptions of the effectiveness of the approach through experiencing and or observing it working.

Exploring links between pedagogical knowledge practices and student outcomes in STEM education for primary schools

Science, technology, engineering, and mathematics (STEM) education is an emerging initiative in Australia, particularly in primary schools. This qualitative research aimed to understand Year 4 students' involvement in an integrated STEM education unit that focused on science concepts (e.g., states of matter, testing properties of materials) and mathematics concepts (e.g., 3D shapes and metric measurements) for designing, making and testing a strong and safe medical kit to insulate medicines (ice cubes) at desirable temperatures. Data collection tools included student work samples, photographs, written responses from students and the teacher, and researcher notes. In a post-hoc analysis, a pedagogical knowledge practice framework (i.e., planning, timetabling, preparation, teaching strategies, content knowledge, problem solving, classroom management, questioning, implementation, assessment, and viewpoints) was used to explain links to student outcomes in STEM education. The study showed how pedagogical knowledge practices may be linked to student outcomes (knowledge, understanding, skill development, and values and attitudes) for a STEM education activity.

Becoming bilingual: Children’s insights about making friends in bilingual settings

The majority of the world speaks more than one language yet the impact of learning a second language has rarely been studied from a child’s perspective. This paper describes monolingual children’s insights into becoming bilingual at four time points: two months before moving to another country (while living in Australia), as well as one, six, and twelve months after moving to Germany. The participants were two monolingual English-speaking siblings (a male aged 7- to 8-years and a female aged 9- to 10-years) who subsequently learned to speak German. At each of the four time points, interviews were undertaken with each child using child-friendly drawing and questionnaire techniques. Three themes were identified: (1) the children’s awareness of language competence; (2) inclusion factors, and; (3) exclusion factors that influenced friendship formation. The impact of language ability on making friends was a dominant theme that arose across the four time points and was triangulated across data collection methods. The children made friends with others who had similar language competence in German, even though they were younger, and did not share the same first language. Age-matched peers who were more competent in German were less likely to be described as friends. Across all three themes, the playground was highlighted by both children as the key site where becoming bilingual most strongly impacted initiation and negotiation of friendships. Becoming bilingual impacted the children’s friendship formation and socialization opportunities with more competent language users.