Australian learning and teaching council projects in the mathematical sciences : a retrospective

Since 2004, the Australian Learning and Teaching Council (ALTC) and its predecessor, the Carrick Institute for Learning and Teaching in Higher Education, have funded numerous teaching and educational research-based projects in the Mathematical Sciences. In light of the Commonwealth Government’s decision to close the ALTC in 2011, it is appropriate to take account of the ALTCs input into the Mathe- matical Sciences in higher education. Here we present an overview of ALTC projects in the Mathematical Sciences, as well as report on the contributions they have made to the Discipline.

Editorial : Learning, teaching and disseminating knowledge in business process management

Process-oriented thinking has become the major paradigm for managing companies and other organizations. The push for better processes has been even more intense due to rapidly evolving client needs, borderless global markets and innovations swiftly penetrating the market. Thus, education is decisive for successfully introducing and implementing Business Process Management (BPM) initiatives. However, BPM education has been an area of challenge. This special issue aims to provide current research on various aspects of BPM education. It is an initial effort for consolidating better practices, experiences and pedagogical outcomes founded with empirical evidence to contribute towards the three pillars of education: learning, teaching, and disseminating knowledge in BPM.

Exploring the experiences of embedding Indigenous knowledge and perspectives on teaching practicum through interpretive phenomenology

In this paper, we discuss interpretive/hermeneutic phenomenology as a theoretical approach to explore the experiences of three stakeholder groups in embedding Indigenous knowledge and perspectives on teaching practicum, a project sponsored by ALTC. We begin by asking the phenomenological question ‘what is your experience of practice teaching?’ An open, explorative, phenomenological framework seeks the meanings of experiences, not truths, from the participants’ words themselves. Interpretive phenomenology is particularly suitable to explore educational experiences (Grumet, 1992; M. van Manen, 1990), as it provides rich ground for listening to the stakeholders’ lived experience and documenting it for interpretation. In an interpretive process, perspectives on lifeworlds, worldview and lenses get highlighted (Cunningham & Stanley, 2003). We establish how through various project stages, interpretive phenomenology gets to the essence of practice teaching experience creating a pedagogical ‘understanding’ of the essential nature of shared experience as lived by the participants (M van Manen, 2002). Thereby, it foregrounds voices of agency, dissent, acceptance and resistance. We consider how our research study focuses on the pedagogic voice of Indigenous pre-service teachers and the recognition of complex pedagogic fields in Indigenous education. We explain how this study seeks insights into their evaluation of pedagogic relations with two other education stakeholders – their practicum supervising teachers at schools and university staff involved practicum experience. As such, our study aims to support and develop long term, future-oriented opportunities for Indigenous pre-service teachers to embed Indigenous knowledge in the curricula. We conclude with some projections into the discourse on how Indigenous knowledge (IK) and perspectives might be diversely exemplified in pre-service teachers’ professional works (particularly E-portfolios). We speculate how this change could in turn maximise opportunities for Indigenous pre-service teachers, their supervising teachers and university staff to demonstrate leadership in their field through the creation of future tangible products such as units of work, resources, assessment and reflection tools. The processes contextualising the cultural interface of competing knowledge systems (Nakata, 2007) provide important analytical tools for understanding issues affecting student-teacher-mentor relationships occurring on practicum.

The ABCs of teaching alphabet knowledge : affordances and challenges of ‘weaving’ visible and invisible pedagogies

As researchers interested in the pursuit of high quality/high equity literacy learning outcomes, we focus on the learning experiences of five early years French students, with a special regard for those who are already considered as being at-risk of educational failure. We narrow the empirical focus to a single lesson on a mechanical concept of print, that is matching lower and upper case alphabet letters. In doing so, we examine a deeply philosophical question: Which pedagogical practices dis/enable what sorts of early years students as literacy learners? We extend Cazden’s (2006) notion of ‘weaving’ knowledge across dimensions of knowing to describe how the case study teacher ‘weaves’ visible and invisible pedagogies over the four movements of a lesson. The findings reveal different pedagogical framings (Bernstein, 1996) have potentially different cognitive and social effects that constitute different kinds of literacy knowledge and oppressive subject positions for at-risk students (Young, 1990).

Teaching fractions to adult learners enrolled in a civil construction course : knowledge, action and materials action in tandem

This paper investigates the teaching and learning of fractions to Indigenous adult learners in a Civil Construction Certificate Course. More specifically it explores why the use of materials is critical to building knowledge and understanding. This focus is important for two reasons. First, it allows for considerations of a trainer’s approach for teaching fractions and, second it provides insights into how adult learners can be supported with representing their practical experiences of fractions to make generalisation thus building on their knowledge and learning experiences. The paper draws on teaching episodes from an Australian Research Council funded Linkage project that investigates how mathematics is taught and learned in Certificate Courses, here, Certificate 11 in Civil Construction. Action research and decolonising methods (Smith, 1999) were used to conduct the research. Video excerpts which feature one trainer and three students are analysed and described. Findings from the data indicate that adult learners need to be supported with materials to assist with building their capacity to know and apply understandings of fractions in a range of contexts, besides construction. Without materials and where fractions are taught via pen and paper tasks, students are less likely to retain and apply fraction ideas to their Certificate Course. Further they are less likely to understand decimals because of limited understanding of fractions.

Teaching basic finance with Excel, and without pain

The five quantities of interest in elementary finance problems are present value, future value, amount of periodic payment, number of periods and the rate of compound interest per period. A recursive approach to computing each of these five quantities in a modern version of Excel, for the case of ordinary annuities, is described. The aim is to increase student understanding and build confidence in the answer obtained, and this may be achieved with only linear relationships and in cases where student knowledge of algebra is essentially zero. Annuity problems may be solved without use of logarithms and black-box intrinsic functions; these being used only as check mechanisms. The author has had success with the method at Bond University and surrounding high schools in Queensland, Australia.

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.

Changing views of culture, learning, teaching, and knowledge : Fiji in-service primary teachers

This paper explores in-service primary teachers' views and beliefs about culture, learning, teaching and knowledge. Fifty Bachelor of Education in-service primary teachers at a university in Fiji participated in the study. The analysis reveals a mix of old and new beliefs about culture, learning teaching and knowledge. The influence of globalization of technology is a contributing factor towards changing views. To keep the indigenous epistemologies alive and valued like the Western epistemologies, more effort is needed to integrate these in formal education. This has implications for the future professional preparation of pre-service and in-service teachers.

Contesting spaces for Indigenous knowledge in university teaching and learning

Teaching and learning indigenous knowledge (as opposed to “modern” knowledge) is inherently a political and moral act. Indigenous Australian knowledges areas are as diverse as its geographical landscape. Making space for Indigenous knowledges in academia should not merely be a question of social justice or equity; the focus needs to shift to restoring pedagogical justice. This chapter provides insights for possible frameworks for embedding Indigenous knowledges and draws from experiences of teaching critical Indigenous Studies at one Australian university.

Enhancing the teaching and learning of mathematical visual images

The literacy demands of mathematics are very different to those in other subjects (Gough, 2007; O'Halloran, 2005; Quinnell, 2011; Rubenstein, 2007) and much has been written on the challenges that literacy in mathematics poses to learners (Abedi and Lord, 2001; Lowrie and Diezmann, 2007, 2009; Rubenstein, 2007). In particular, a diverse selection of visuals typifies the field of mathematics (Carter, Hipwell and Quinnell, 2012), placing unique literacy demands on learners. Such visuals include varied tables, graphs, diagrams and other representations, all of which are used to communicate information.

Preparing engineering graduates for the knowledge economy through blended delivery of mathematics

Contemporary higher education institutions are making significant efforts to develop cohesive, meaningful and effective learning experiences for Science, Technology, Engineering and Mathematics (STEM) curricula to prepare graduates for challenges in the modern knowledge economy, thus enhancing their employability (Carnevale et al, 2011). This can inspire innovative redesign of learning experiences embedded in technology-enhanced educational environments and the development of research-informed, pedagogically reliable strategies fostering interactions between various agents of the learning-teaching process. This paper reports on the results of a project aimed at enhancing students’ learning experiences by redesigning a large, first year mathematics unit for Engineering students at a large metropolitan public university. Within the project, the current study investigates the effectiveness of selected, technology-mediated pedagogical approaches used over three semesters. Grounded in user-centred instructional design, the pedagogical approaches explored the opportunities for learning created by designing an environment containing technological, social and educational affordances. A qualitative analysis of mixed-type questionnaires distributed to students indicated important inter-relations between participants’ frames of references of the learning-teaching process and stressed the importance (and difficulty) of creating appropriate functional context. Conclusions drawn from this study may inform instructional design for blended delivery of STEM-focused programs that endeavor to enhance students’ employability by educating work-ready graduates.

Pathophysiology team teaching: Bioscientist contribution to knowledge integration in a nursing subject

Bioscience content within undergraduate nursing degrees provides foundational knowledge of pathophysiology, anatomy, physiology, microbiology and pharmacology. However, nursing students often find studying the bioscience components of undergraduate nursing program daunting (Friedel & Treagust 2005, Craft et al. 2013). This is related to factors such as the volume of content, degree of difficulty and insufficient linkage between bioscience concepts and nurses' clinical practice. Students who are unable to conceptualise the relevance of bioscience with nursing subjects and subsequent nursing practice may not appreciate the broader importance of bioscience, and hence may adopt a surface approach to learning (Craft et al. 2013). The aim of this study was to develop a model within Nursing Practice in the Context theory subject, to include a bioscientist lecturing to complement the nursing lecturer, in order to explicitly demonstrate links between physiology, pathophysiology and nursing practice.

Using the system dynamics paradigm in teaching and learning technological university subjets

2nd International Conference on Education and New Learning Technologies