Teaching and assessing critical thinking : the interaction of student approaches to learning and teaching approaches

This study explored the relationship among student approaches to learning and teaching methods on critical thinking in two business units. Key findings included differences in critical thinking scores between student approaches to learning and some evidence of an interaction between student approaches to learning and critical thinking teach method (immersion vs. infusion). Possible explanations for the results are examined and implications for developing critical thinking skills across a degree discussed. What is apparent is that as Universities move towards program-wide level assessment of critical thinking, further work is required in terms of the design of critical thinking teaching interventions and assessment at the unit, school, and degree level. The session will discuss the challenges in developing critical thinking programs in individual units and at the Faculty level.

International pre-service teachers' self-confidence in critical reflective thinking and writing through an intercultural Patches program

This paper describes part of an action research study that was designed to explore the outcomes of an ongoing program in which the participants, a group of domestic and international pre-service teachers and lecturers, worked together in reflective writing workshops. While the primary long-term goal of the program was to develop the intercultural competence and understanding of all of the participants through social activities, the development of social relationships was initiated and supported by involving the participants in weekly writing workshops that focused on shared salient skills of critical reflective thinking and writing. The focus of this paper is upon the outcomes for the international students, a cohort of second year pre-service teachers from Malaysia. Findings indicated that the program was successful in developing the Malaysian pre-service teachers’ self-confidence in perceiving themselves as writers and future teachers of writing, in shifting their focus from writing product to writing process and content, and in increasing the depth of their critical reflective thinking and writing

Can we teach advertising students to think? Strategies to engage student thinking

Understanding and effectively managing students’ engagement in education plays a significant role in enhancing learning processes and outcomes. Research has shown that students learn more when they are actively engaged in their learning. However, as many educators know, this is not as easy as one might expect. Using a range of teaching approaches, we attempt to impart knowledge and develop understanding and comprehension (Angelo 1993; Biggs and Telfer 1987; Patti 2003; Ranburuth and McCormick 2001). These vary from “information dump” or teacher-centric approaches, to those that stimulate more active involvement. From the literature, we know that experiential learning, such as those strategies that help students acquire practice skills, apply critical thought and active learning, are likely to have achieve higher levels of intellectual skill and ability (Benson and Blackman 2003; Hampton and Lawrence 1995; Hopkinson and Hogg 2004; Kolb 1984).

Quantum models of cognition and decision

Much of our understanding of human thinking is based on probabilistic models. This innovative book by Jerome R. Busemeyer and Peter D. Bruza argues that, actually, the underlying mathematical structures from quantum theory provide a much better account of human thinking than traditional models. They introduce the foundations for modelling probabilistic-dynamic systems using two aspects of quantum theory. The first, "contextuality", is a way to understand interference effects found with inferences and decisions under conditions of uncertainty. The second, "entanglement", allows cognitive phenomena to be modelled in non-reductionist ways. Employing these principles drawn from quantum theory allows us to view human cognition and decision in a totally new light...

Visualising mathematical knowledge and understanding

Contemporary mathematics education attempts to instil within learners the conceptualization of mathematics as a highly organized and inter-connected set of ideas. To support this, a means to graphically represent this organization of ideas is presented which reflects the cognitive mechanisms that shape a learner’s understanding. This organisation of information may then be analysed, with the view to informing the design of mathematics instruction in face-to-face and/or computer-mediated learning environments. However, this analysis requires significant work to develop both theory and practice.

And the winner is...? : Thinking about Australian book awards in the library

Among their many duties, librarians occupy and must negotiate a space between the dreamed-of library and the all-too-real culture industries. This is perhaps most visible in the competition between pragmatism and idealism in text selection and collection development, and in one commonly-used tool thereof: the book award. This paper considers the possibilities and problematics of Australian book awards in libraries and librarianship.

The Socratic classroom : reflective thinking through collaborative inquiry

This book was written to serve two functions. First it is an exploration of what I have called Socratic pedagogy, a collaborative inquiry-based approach to teaching and learning suitable not only to formal educational settings such as the school classroom but to all educational settings. The term is intended to capture a variety of philosophical approaches to classroom practice that could broadly be described Socratic in form. The term ‘philosophy in schools’ is ambiguous and could refer to teaching university style philosophy to high school students or to the teaching of philosophy and logic or critical reasoning in senior years of high school. It is also used to describe the teaching of philosophy in schools generally. In the early and middle phases of schooling the term philosophy for children is often used. But this too is ambiguous as the name was adopted from Matthew Lipman’s Philosophy for Children curriculum that he and his colleagues at the Institute for the Advancement of Philosophy for Children developed. In Britain the term ‘philosophy with children’ is sometimes employed to mark two methods of teaching that have Socratic roots but have distinct differences, namely Philosophy for Children and Socratic Dialogue developed by Leonard Nelson. The use of the term Socratic pedagogy and its companion term Socratic classroom (to refer to the kind of classroom that employs Socratic teaching) avoids the problem of distinguishing between various approaches to philosophical inquiry in the Socratic tradition but also separates it from the ‘study of philosophy’, such as university style philosophy or other approaches which place little or no emphasis on collaborative inquiry based teaching and learning. The second function builds from the first. It is to develop an effective framework for understanding the relationship between what I call the generative, evaluative and connective aspects of communal dialogue, which I think are necessary to the Socratic notion of inquiry. In doing so it is hoped that this book offers some way to show how philosophy as inquiry can contribute to educational theory and practice, while also demonstrating how it can be an effective way to approach teaching and learning. This has meant striking a balance between speaking to philosophers and to teachers and educators together, with the view that both see the virtues of such a project. In the strictest sense this book is not philosophy of education, insofar as its chief focus is not on the analysis of concepts or formulation of definitions specific to education with the aim of formulating directives that guide educational practice. It relinquishes the role of philosopher as ‘spectator’, to one of philosopher ‘immersed in matter’ – in this case philosophical issues in education, specifically those related to philosophical inquiry, pedagogy and classroom practice. Put another way, it is a book about philosophical education.

Jabberwocky : the complexities of mathematical English

Mathematical English is a unique language based on ordinary English, with the addition of highly stylised formal symbol systems. Some words have a redefined status. Mathematical English has its own lexicon, syntax, semantics and literature. It is more difficult to understand than ordinary English. Ability in basic interpersonal communication does not necessarily result in proficiency in the use of mathematical English. The complex nature of mathematical English may impact upon the ability of students to succeed in mathematical and numeracy assessment. This article presents a review of the literature about the complexities of mathematical English. It includes examples of more than fifty language features that have been shown to add to the challenge of interpreting mathematical texts. Awareness of the complexities of mathematical English is an essential skill needed by mathematics teachers when teaching and when designing assessment tasks.

Experiences with implementing common mathematical operations using field programmable gate arrays

Many computationally intensive scientific applications involve repetitive floating point operations other than addition and multiplication which may present a significant performance bottleneck due to the relatively large latency or low throughput involved in executing such arithmetic primitives on commod- ity processors. A promising alternative is to execute such primitives on Field Programmable Gate Array (FPGA) hardware acting as an application-specific custom co-processor in a high performance reconfig- urable computing platform. The use of FPGAs can provide advantages such as fine-grain parallelism but issues relating to code development in a hardware description language and efficient data transfer to and from the FPGA chip can present significant application development challenges. In this paper, we discuss our practical experiences in developing a selection of floating point hardware designs to be implemented using FPGAs. Our designs include some basic mathemati cal library functions which can be implemented for user defined precisions suitable for novel applications requiring non-standard floating point represen- tation. We discuss the details of our designs along with results from performance and accuracy analysis tests.

Learning to think spatially : what do students 'see' in numeracy test items?

Learning to think spatially in mathematics involves developing proficiency with graphics. This paper reports on 2 investigations of spatial thinking and graphics. The first investigation explored the importance of graphics as 1 of 3 communication systems (i.e. text, symbols, graphics) used to provide information in numeracy test items. The results showed that graphics were embedded in at least 50 % of test items across 3 year levels. The second investigation examined 11 – 12-year-olds’ performance on 2 mathematical tasks which required substantial interpretation of graphics and spatial thinking. The outcomes revealed that many students lacked proficiency in the basic spatial skills of visual memory and spatial perception and the more advanced skills of spatial orientation and spatial visualisation. This paper concludes with a reaffirmation of the importance of spatial thinking in mathematics and proposes ways to capitalize on graphics in learning to think spatially.

Enhancing capacity for 'systematic' thinking in public health

The concept of being evidence based or evidence informed is widely acknowledged as an important component of decision-making. It is perhaps most universally referred to in medicine, however has extended into many other disciplines over the past decade, including public health. Evidence-based public health has been defined as the ‘conscientious, explicit and judicious use of current best evidence in making decisions about the care of communities and populations in the domain of health protection, disease prevention, health maintenance and improvement (health promotion)’.1 More recent literature favours the use of the term evidence informed over evidence based to acknowledge the varying influences on decisions in this complex field.2,3 Evidence-informed activities in any discipline require a specific set of skills in critical thinking. These skills include identifying the questions to be resolved, collecting relevant evidence, and assessing, synthesizing and distilling evidence in a way that can inform the set of activities to be undertaken as a result.

Using neo-Piagetian theory, formative in-Class tests and think alouds to better understand student thinking : a preliminary report on computer programming

It is acknowledged around the world that many university students struggle with learning to program (McCracken et al., 2001; McGettrick et al., 2005). In this paper, we describe how we have developed a research programme to systematically study and incrementally improve our teaching. We have adopted a research programme with three elements: (1) a theory that provides an organising framework for defining the type of phenomena and data of interest, (2) data on how the class as a whole performs on formative assessment tasks that are framed from within the organising framework, and (3) data from one-on-one think aloud sessions, to establish why students struggle with some of those in-class formative assessment tasks. We teach introductory computer programming, but this three-element structure of our research is applicable to many areas of engineering education research.

Students’ approaches to learning a new mathematical model

In this article, we report on the findings of an exploratory study into the experience of undergraduate students as they learn new mathematical models. Qualitative and quanti- tative data based around the students’ approaches to learning new mathematical models were collected. The data revealed that students actively adopt three approaches to under- standing a new mathematical model: gathering information for the task of understanding the model, practising with and using the model, and finding interrelationships between elements of the model. We found that the students appreciate mathematical models that have a real world application and that this can be used to engage students in higher level learning approaches.

Thinking about Australia and its location in the modern world in the Australian Curriculum : history

The first national history curriculum is being implemented in Australia from 2013. As with the curriculums of other nations, this curriculum has evolved in response to a range of factors and its merits continue to be debated. In critiquing the sort of history education approach encapsulated in the new curriculum, I discuss some of the contextual factors and debates that have shaped the Australian Curriculum: History v0.3 (ACARA, 2012). In doing so, I also explore some of the recent international literature on how students think and learn about history in the classroom. In the third and final part of the paper, I raise some logistical issues and also question how students might engage with the notion of Australia as a nation in the modern world rapidly reshaped by the transformations occurring in Asia and share some concerns about the curriculum’s ‘world history approach’ for Year 10.