Teaching secondary school mathematics : research and practice for the 21st century

For the last decade or so, educational policy makers and researchers in many countries have been calling for significant changes to the way mathematics is taught in secondary schools. Australian mathematics curriculum documents now promote learning goals that go beyond mastery of a pre-determined body of knowledge and procedures - the traditional emphasis on facts, skills, formulae - to include mathematical reasoning and problem solving, communication, and real world applications. There is also pressure to move away from over-reliance on teacher-centred practices such as exposition and individual seatwork, towards activities that promote learners' involvement in constructing, applying, and evaluating mathematical ideas. Further impetus for reform comes from research recommending that if learners are to develop mathematically powerful forms of thinking and habits of mind, then classrooms should immerse them in the authentic practices of the discipline by supporting a culture of collaboration and sense-making. Teaching Secondary School Mathematics - incorporates recent developments in research and practice and applications to teaching mathematics in Australian secondary schools. Covering such areas as curriculum, pedagogy and assessment; teaching mathematical content; equity and diversity in the classroom; and professional and community engagement, it is an invaluable resource for all practising and pre-service mathematics teachers.

Comparison of the traditional problem-based learning format and larger, directed, independent study groups

 Problem based learning has been implemented as a pedagogical tool world-wide across a range of health professions since its inception at McMaster University, Canada, in 1969 (Neville & Norman, 2007). In addition to enhancing knowledge and understanding it is also claimed that PBL develops communication skills, encourages teamwork, sharing of information and respect for others, furthers problem solving skills, and allows students to assume responsibility for their own learning (Wood, 2003). However, the cognitive outcomes of PBL and traditional pedagogy (based on didactic teaching) are similar and hence widespread adoption of PBL has been questioned (see Colliver, 2000). Criticisms of PBL include its resource hungry nature, requiring, as it does, experienced tutors to facilitate .learning across several clusters of students dealing with the same problem. Given the actual and anticipated increase in numbers of medical students in Australia other strategies that retain the advantages of PBL, while minimising the demands on faculty, should now be explored. This paper reports our experience with a modification of the traditional PBL approach, termed PBLplus. This innovation was trialled in a regional clinical school, attached to a hospital, with a group of 19 graduate entry students, who had completed an integrated Year 1 / 2 of the MBBS. PBLplus involved allocating students from the whole class to three task directed groups. Groups had specified assignments to complete to facilitate learning across the whole class. A tutor listened to student presentations and provided an interactive presentation. Hence use of tutors was made more efficient, and faculty input was more specialised.

Learning leadership is in your hands : toward a scholarship of teaching in practical legal training

A scholarship of teaching in post-graduate pre-admission practical legal training is germane to perceptions of the quality of accreditation of young Australian lawyers practicing in a globalised profession. Traditional forms of teaching scholarship in law have been identified as influencing the well being of law students and practitioners. This article reviews literature that frames a definition and prerequisites for a scholarship of teaching, its traditional and potential forms, and its subject matter. It considers the present position of a scholarship of teaching in practical legal training, and the historical and organisational epistemological approaches to professional practical training (compared to academic education) that shape that position. Problems of validity, measurement, performativity, and engagement in teaching scholarship are introduced, followed by consideration of possible methodological approaches drawing on Schon’s conception of action research, together with emergent methodologies, technologies and practical considerations that enable individual practitioners to pursue and lead a scholarship of teaching in practical legal training. The article frames questions for further doctoral research in relation to practical legal training teachers’ engagement with the scholarship of teaching.

Facilitating learning by going online : modernising Islamic teaching and learning in Indonesia

This chapter examines the impact of eLearning and Web 2.0 social media in a socially conservative environment in Indonesia that has nevertheless proven surprisingly adroit at change management. Web 2.0 social media has proven enormously popular in Indonesia but traditional Islamic schools (which are known in Java as pesantren but elsewhere in the Muslim world as madrasah) the focus of this study is often unable to access Web 2.0 or the Internet in general. Progressive non-national government organizations (NGOs) seek to remedy this situation by providing satellite broadband links to remote schools and this chapter examines one particular project. Despite the impoverished and conservative nature of their community, the leaders of this school have led their students in a surprisingly enthusiastic reception of eLearning technology, recognizing its great capacity to produce and enhance social networks and provide new opportunities for learning. Particular attention in this case study is given to factors relating to social capital, attitudes, and patterns of behavior in leadership and change management. A case study approach was chosen to enable a richer and more finely-grained analysis of the issues. The case study is based on semi-structured interviews and observations conducted over several years. This research shows that whilst the adoption and uptake of eLearning with emerging technologies is strongly shaped by cultural and social factors, it plays out in very different ways than might first have been expected.

Competency-based training, global skills mobility and the teaching of international students in vocational education and training

 In Australia, all vocational education and training (VET) qualifications must be based on competency-based training (CBT) and training packages. Yet, since 2005, there has been a major expansion in the number of VET international students in Australia, 85% of whom are from Asia. Given this development, the teaching and learning contexts in which competency-based training and training packages are located are becoming increasingly diverse and no longer reflect the traditional training characteristics and boundaries that apply for domestic students.
This paper examines the relevance of training packages and CBT for teaching international students in the Australian VET sector. It draws on interviews with teachers and international students from 25 public and private training providers in Australia. The discussion of the findings aims to assist the VET sector create a curriculum framework that supports flexibility, adaptation and responsiveness so that international students’ divergent and shifting study purposes and complex learning characteristics can be catered for effectively. This contributes to helping the sector remain viable in a context in which a VET course is no longer a pathway to migration.

How are Australian higher education institutions contributing to change through innovative teaching and learning in virtual worlds?

Over the past decade, teaching and learning in virtual worlds has been at the forefront of many higher education institutions around the world. The DEHub Virtual Worlds Working Group (VWWG) consisting of Australian and New Zealand higher education academics was formed on 2009. These educators are investigating the role that virtual worlds play in the future of education and actively changing the direction of their own teaching practice and curricula. 47 academics reporting on 28 Australian higher education institutions present an overview of how they have changed directions through the effective use of virtual worlds for diverse teaching and learning activitiessuch as business scenarios and virtual excursions, role-play simulations, experimentation and language development. The case studies offer insights into the ways in which institutions are continuing to change directions in their teaching to meet changing demands for innovative teaching, learning and research in virtual worlds. This paper highlights the ways in which the authors are using virtual worlds to creat opportunities for rich, immersive and authentic activities that would be difficult or not possible to achieve through traditional approaches

Teaching leadership from a social constructionist perspective

 Traditional approaches to leadership assert that leadership is a definite quality of leaders. In contrast, the social constructionist approach conceptualises leadership as a quality of observers. The goal of this paper is to show how this philosophical base can be used to create a teaching strategy for leadership. In this strategy, there are three learning objectives: understanding the philosophical approach; revealing students’ lay theories of leadership; and, skill development. The lessons revolve around understanding how leadership perceptions form so that students appreciate how they are influenced and, in turn, how they might influence other people’s perceptions of themselves.© 2013 Cambridge University Press and Australian and New Zealand Academy of Management

Lecturing and other face-to-face teaching – too much or too little? An assessment based on student feedback and fail rates

Institutes of higher learning are tending to reduce the amount of face-to-face teaching that they offer, and particularly through the traditional pedagogical method of lecturing. There is ongoing debate about the educational value of lectures as a teaching approach, in terms of both whether they facilitate understanding of subject material and whether they augment the student educational experience. In this study, student evaluation of teaching scores plus academic outcome (percentage of students who fail) was assessed for 236 course units offered by a science faculty at an Australian university over the course of one year. These measures were related to the degree to which lectures and other face-to-face teaching were used in these units, controlling for factors such as class size, school and year level. An information-theoretic model selection approach was employed to identify the best models and predictors of student assessments and fail rates. All the top models of student feedback included a measure reflecting amount of face-to-face teaching, with the evaluation of quality of teaching being higher in units with higher proportions of lectures. However, these models explained only 12–20% of the variation in student evaluation scores, suggesting that many other factors come into play. By contrast, units with fewer lectures have lower failure rates. These results suggest that moving away from lectures and face-to-face teaching may not harm, and indeed may improve the number of students who pass the subject, but that this may be incurred at the expense of greater dissatisfaction in students' learning experience.

A university-based clinical exercise facility that serves as a clinical, teaching and research space

Deakin University opened its Clinical Exercise Learning Centre (CELC) in May 2011, initially staffed by four (now seven) Accredited Exercise Physiologists (AEP), and funded by the university. The main objectives of CELC are to provide (i) excellent clinical practicum learning opportunities for postgraduate students enrolled in the Master of Clinical Exercise Physiology that prepare students for subsequent external placements; (ii) learning opportunities that are vertically integrated with the preparatory components of the Masters, including pathophysiology units and pre-clinical units; (iii) learning opportunities that are also integrated with the external clinical practicum program that is embedded in the Masters; (iv) a clinical service to the community and strong referral networks with local GPs; (v) a research centre that is focussed on evaluating the efficacy of Accredited Exercise Physiology (AEP) services for a range of clinical situations, with a view to contributing to a future national evidence-based practice network supported by ESSA. Deakin University funds the CELC facility, equipment, consumables, limited car parking, practice management software and server and, most importantly, the staff. Therefore CELC runs at a loss even against fees charged and this was built into the original model. Staff include an AEP clinical practicum coordinator, two casual AEPs and several academic AEPs; the latter practise as a small part of their approved workloads. The practice model is for all AEPs to provide clinical services with referred clients who are billed as if CELC is a private practice, whilst concurrently teaching and mentoring students; the latter are expected to be active learners in CELC and have exposure to a wide range of pathologies and clinical situations. Billable hours are always provided by AEPs, not students, but students can assist. CELC provides clinical services 1:1:1 (client: AEP: student), 1:1:5 and 8:1:5. CELC was awarded national runner-up in the ESSA Exercise Physiology clinic of the year in 2011 and has grown its caseload to > 200 referrers in 2013. CELC recently designed a generic research platform and has begun to roll out research projects that are designed to translate 'traditional' research-based evidence of exercise benefits for chronic disease in order to evaluate AEP efficacy of practice in the Australian context. CELC provides a model for other universities, provided those universities see it for its learning value, and not to generate revenue or profit.

Pedagogy of the rural: teaching and learning for rural futures?

Pedagogy of the Rural illustrates the complexities of rural space and considers some of the underlying assumptions, ‘truths’ and ‘realities’ about rural education and teaching in a complicated and dynamic policy context. Pedagogy of the Rural offers an alternative to current teacher education practice – it is responsive to policy demands as well as local conditions and traditions, and has a futures orientation, in that it provides a way forward for valuing rural contexts for what they bring to teacher identities beyond traditional deficit positionings dominant in current discourses on rural. The authors examine notions of size and how this impacts on the ways in which beginning teachers in rural locations are positioned in terms of identity at a macro, meso and micro level. They also examine what it means to ‘be rural’ and use Pedagogy of the Rural to conceptualise rural understandings as a pedagogy that is not a pedagogy ‘for’ or ‘about’ but rather ‘of’ the rural. Complexities of the Pedagogy of the Rural are understood through Harré’s (2004) positioning theory, Baudrillard’s (1983) notion of simulation and simulacra and Lefebvre’s (2009) arguments around space and economic geographies. The interrelationship of place, space and identity unify teachers’ understandings of who they (or we) are, and are becoming, in a specific time and geographical location, raising questions about: subjectivity - who we are; power - what we can do; and desire- who we might become (Harré, Moghaddam, Cairnie, Rothbart, & Sabat, 2009), and the influence of personal and professional histories and what rural brings to our pedagogy within this.

Depleting the curriculum: teaching digital platforms and curricular impoverishment

The paper aims at showing how curricular complexity tends to be depleted by the use of digital platforms based on the SCORM (Sharable Content Object Reference Model) standard, which was created with the main purpose of recycling content as it is supposed to be independent both from the context of learning and the supporting technology also deemed to be neutral, all surrounded by a rhetoric of innovation and “pedagogical” innovation. The starting point of the discussion is García Perez’s model of Traditional Didactics as a simple tool to show almost graphically that any ancient didactic model is far richer in terms of complexity than the linearity, in disguise most of the times but still visible under a not so sophisticated critical lens, of the interaction human-(reusable) content that is the basis of the SCORM standard. The paper also addresses some of the more common deliberate mix-ups related to those digital platforms, such as learning and teaching, content and learning object, systems of automatic teaching and learning management systems.

A multimedia environment for supporting the teaching of robotics systems

This paper aims at describing an educational system for teaching and learning robotic systems. Multimedia resources were used to construct a virtual laboratory where users are able to use functionalities of a virtual robotic arm, by moving and clicking the mouse without caring about the detailed internal robot operation. Moreover through the multimedia system the user can interact with a real robot arm. The engineering students are the target public of the developed system. With its contents and interactive capabilities, it has been used as a support to the traditional face-to-face classes on the subject of robotics.. In the paper it is first introduced the metaphor of Virtual Laboratory used in the system. Next, it is described the Graphical and Multimedia Environment approach: an interactive graphic user interface with a 3D environment for simulation. Design and implementation issues of the real-time interactive multimedia learning system, which supports the W3C SMIL standard for presenting the real-time multimedia teaching material, are described. Finally, some preliminary conclusions and possible future works from this research are presented.

Teaching robotics systems in a multimedia environment

This paper describes the development of a multimedia educational system to teach and learn robotic systems. Multimedia resources have been used to build a virtual laboratory where users are able to utilize functions of a robotic arm, by moving and clicking the mouse without worrying about the detailed robot internal operation. The multimedia system is integrated with a real robotic arm, which was also developed at the university. Through robotic topic presentations and interactive capabilities provided by this system and its tools, students can devote themselves on the learning process just as they do in the traditional face-to-face classes. and the target public of this system are the engineering students themselves.

Survey on tuberculosis teaching in Brazilian nursing schools, 2004

OBJECTIVE: To characterise tuberculosis (TB) teaching in Brazilian nursing schools by state and region and its theoretical and practical contents. METHODOLOGY: In an educational research survey in 2004, 347 nursing schools were identified. Questionnaires were posted to faculties providing training in TB. Data were compiled in a database with a view to descriptive result analysis. Replies to the questionnaire were received by 32% of the nursing schools contacted. RESULTS: Undergraduate TB teaching is heterogeneous. For training in theory, the principle teaching method is through classes in 102 (91.9%) nursing schools. Practical TB teaching is carried out at the primary care level (89.2%). Teachers update their knowledge through events and internet; little reference is made to manuals. The time devoted to practical TB teaching ranges from 10 to 20 hours, although this is not always included in student training. CONCLUSION: Teaching in TB should go beyond the traditional model that focuses only on biological aspects. It should introduce tools that lead to permanent behavioural change, such as a more human approach and social and psychological aspects, such as living conditions, habits and customs. It should involve new partners, such as families, communities and other health professionals, and identify obstacles within the university. © 2006 The Union.

Students' preferred teaching techniques for biochemistry in biomedicine and medicine courses

The aim of this study was to investigate the students' preferred teaching techniques, such as traditional blackboard, power-point, or slide-projection, for biochemistry discipline in biomedicine and medicine courses from São Paulo State University, UNESP, Botucatu, São Paulo, Brazil. Preferences for specific topic and teaching techniques were determined from questionnaires on a Liquert scale from 1 to 5 (strongly disagree; disagree; neither agree, nor disagree; agree; strongly agree) distributed at the end of biochemistry discipline to 180 biomedical students (30 students/year) and 540 medical students (90 students/year), during the years 2000-2005. Despite of the different number of hours applied to the course topics for the two groups of students, the majority of undergraduates from biomedicine and medicine preferred metabolic topics. Although the perception of a medical student is expected to be different than that of a biomedical student, as the aims of the two programs are different, 92.4% of students from each course agreed or strongly agreed with the biochemistry topics, and 92.1% thought highly on this subject. The majority of students, a number of 139 undergraduates from biomedicine and 419 from medicine course, preferred traditional blackboard teaching than slide-projection, or power-point class. In conclusion, it is imperative that the health courses reflect on sophisticated technology and data presentation with high density of information in biochemistry discipline. The traditional classes with blackboard presentation were most favored by students from biomedicine and medicine courses. The use of students' preferred teaching techniques might turn biochemistry more easily understood for biomedical and medical students. © 2007 by The International Union of Biochemistry and Molecular Biology.