Place value, multiplicativity, reunitizing and effective classroom teaching of decimal numeration

Student understanding of decimal number is poor (e.g., Baturo, 1998; Behr, Harel, Post & Lesh, 1992). This paper reports on a study which set out to determine the cognitive complexities inherent in decimal-number numeration and what teaching experiences need to be provided in order to facilitate an understanding of decimal-number numeration. The study gave rise to a theoretical model which incorporated three levels of knowledge. Interview tasks were developed from the model to probe 45 students’ understanding of these levels, and intervention episodes undertaken to help students construct the baseline knowledge of position and order (Level 1 knowledge) and an understanding of multiplicative structure (Level 3 knowledge). This paper describes the two interventions and reports on the results which suggest that helping students construct appropriate mental models is an efficient and effective teaching strategy.

Design Minds Tomorrow's Classroom Toolkit

The Design Minds Tomorrow’s Classroom Toolkit was one of six K7-12 secondary school design toolkits commissioned by the State Library of Queensland (SLQ) Asia Pacific Design Library (APDL), to facilitate the delivery of the Stage 1 launch of its Design Minds online platform (www.designminds.org.au) partnership initiative with Queensland Government Arts Queensland and the Smithsonian Cooper-Hewitt National Design Museum, on June 29, 2012. Design Minds toolkits are practical guides, underpinned by a combination of one to three of the Design Minds model phases of ‘Inquire’, ‘Ideate’ and ‘Implement’ (supported by at each stage with structured reflection), to enhance existing school curriculum and empower students with real life design exercises, within the classroom environment. Toolkits directly identify links to Naplan, National Curriculum, C2C and Professional Standards benchmarks, as well as the student capabilities of successful and creative 21st century citizens they seek to engender through design thinking. This toolkit explores, through four distinct exercises, different design tools and ways to approach the future design of environments (classrooms/schools) to facilitate the Reggio Emilia philosophy of learning, while addressing diverse and changing social, cultural, technological and environmental challenges. The Design Minds Tomorrow’s Classroom Toolkit encourages students to explore architecture and interior design, and to think about their (life-long) learning as a product of inspiring interactions with people and the environments around them, and that their potential role in contributing to both delightful and functional design solutions requires a deep understanding of the user experience. More generally, it aims to facilitate awareness in young people, of the role of design in society and the value of design thinking skills in generating strategies to solve basic to complex systemic challenges, as well as to inspire post-secondary pathways and idea generation for education. The toolkit encourages students and teachers to develop sketching, making, communication, presentation and collaboration skills to improve their design process, as well as explore further inquiry (background research) to enhance the ideation exercises. Exercise 1 focuses on the ‘Inquire’ and ‘Ideate’ phases, Exercise 2 on the ‘Inquire’, Exercise 3 builds on ideation skills, and Exercise 4 concentrates on the ‘Implement’ phase. Depending on the intensity of the focus, the unit of work could be developed over a 2-5 week program (approximately 4-10 x 60 minute lessons/workshops) or as smaller workshops treated as discrete learning experiences. The toolkit is available for public download from http://designminds.org.au/tomorrows-classroom/ on the Design Minds website. This toolkit inspired the authorship and facilitation of a 2-day design workshop entitled Learning Environment 2050 at John Paul College, Daisy Hill, Brisbane on the 15-16 August 2013. 120 Grade 7 students and their teachers, under the mentorship of two design academics, 3 QUT design students and a professional architect, as part of a QUT School of Design Project Week community engagement activity, explored the formulation of a participatory design brief for the redesign of the school’s Wesley Precinct (including classrooms, a sustainable farm and recreation areas).

Designing schools as effective 21st C learning spaces : a review

The Queensland Centre for Social Science Innovation was formed in 2012 to develop collaborations among the Queensland Government and five Queensland universities—The University of Queensland, Griffith University, Queensland University of Technology, James Cook University and Central Queensland University. Three priorities for initial projects were established by the Queensland Government with response by the participating universities. This project addressed the identified priority area: factors affecting educational achievement and investigation of the link between school design, refurbishment and educational outcomes. The proposal for this project indicated that a Review of research literature would be undertaken that linked school and classroom design with educational outcomes for learners in the 21st century. Further, research would be examined for impact of technology on staff and students, as well as learning spaces that addressed the diversity of student learners. Specific investigation of research on effective design to enhance learning outcomes for Aboriginal and Torres Strait Islander students was to be undertaken. The project therefore consists of a Review of research literature to provide an evidence base on the impact of school and classroom on educational outcomes. The original proposal indicated that indicators of successful school and classroom design would be student learning outcomes on a range of variables, with input, the specific architectural design elements. The review was undertaken during the period July 2012 to June 2013. A search was undertaken of journals, databases, and websources to identify relevant material. These were examined for evidence-based statements and design of learning spaces to enhance learning. The Review is comprehensive, and representative of issues raised in research, and conceptualisations and debates informing modern educational design. Initial findings indicated two key findings central to reading this Review. The first key finding is that the predominant focus of modern design of learning space is on process and the engagement of stakeholders. Schools are social institutions and development of a school as a learning space to suit 21st century learning needs necessarily involves the staff, students and other members of the community as key participants. The concept of social aspects of design is threaded throughout the Review. The second key finding is that little research explicitly examined the relationship between the design of learning spaces and educational outcomes. While some research does exist, the most explicitly-focused research uses narrow test-based achievement as the learning outcomes. These are not sympathetic to the overall framings of the research on 21st century learning, future schooling and the needs of the new generation of learners and society.

Making space to learn : leading collaborative classroom design

Design principles for learning spaces for 21st century learning emphasise flexibility and collaboration. Yet it is rare in Australian schools for school leaders to invite students and teachers to collaborate in the design process or to prepare them for the transition into innovative physical learning spaces that are often designed to challenge and change existing learning habits. This article presents a qualitative case study of how one primary school leader led a successful transition for a teacher and her students by inviting them to design their future physical learning space and reconstruct their pedagogic relationships. This article analyses her leadership practices drawing from literature in the learning space, student voice and leadership fields to consider the benefits and challenges experienced by the collaborators when making space to learn.

Promoting creativity in education : from policy to practice : an Australian perspective

In the 21st century, our global community is changing to increasingly value creativity and innovation as driving forces in our lives. This paper will investigate how educators need to move beyond the rhetoric to effective practices for teaching and fostering creativity. First, it will describe the nature of creativity at different levels, with a focus on personal and everyday creativity. It will then provide a brief snapshot of creativity in education through the lens of new policies and initiatives in Queensland, Australia. Next it will review two significant areas related to enriching and enhancing students’ creative engagement and production: 1) influential social and environmental factors; and 2) creative self-efficacy. Finally, this paper will propose that to effectively promote student creativity in schools, we need to not only emphasise policy, but also focus on establishing a shared discourse about the nature of creativity, and researching and implementing effective practices for supporting and fostering creativity. This paper has implications for educational policy, practice and teacher training that are applicable internationally.

Concept building

In this world of continuous change, there’s probably one certainty: more change lies ahead. Our students will encounter challenges and opportunities that we can’t even imagine. How do we prepare our students as future citizens for the challenges of the 21st century? One of the most influential public intellectuals of our time, Howard Gardner, suggests that in the future individuals will depend to a great extent on the capacity to synthesise large amounts of information. ‘They will need to be able to gather together information from disparate sources and put it together in ways that work for themselves and can be communicated to other persons’(Gardner 2008, p. xiii). One of the first steps in ‘putting things together’ so they ‘work’ in the mind is ‘to group objects and events together on the basis of some similarity between them’ (Lee & das Gupta 1995, p. 116). When we do this and give them a collective name, we are conceptualising. Apart from helping to save our sanity by simplifying the vast amounts of data we encounter every day, concepts help us to understand and gain meaning from what we experience. Concepts are essential for synthesising information and they also help us to communicate with others. Put simply, concepts serve as building blocks for knowledge, understanding and communication. This chapter addresses the importance of teaching and learning about concepts and conceptual development in studies of society and environment. It proceeds as follows: first, it considers how individuals use concepts, and, second, it explores the characteristics of concepts; the third section presents a discussion of approaches that might be adopted by teachers intending to help their students build concepts in the classroom.

Children re-read and re-write their neighborhoods : critical literacies and identity work

This chapter considers the complex literate repertoires of 21st century children in multicultural primary classrooms in Adelaide South Australia. It draws on the curricular and pedagogical work of two experienced primary school teachers who explore culture, race and class, by positioning children as textual producers across a variety of media. In particular we discuss two child-authored texts – A is for Arndale – a local alphabet book co-authored by children aged between eight and ten, and – Cooking Afghani Style - a magazine style film produced by a multi-aged class of children (aged eight to thirteen) recently arrived in Australia. In the process of making these texts, primary children engaged in reading as a cultural practice – re-reading and re-writing their neighbourhoods and identities (both individual and collective). This involved frequent excursions to local key sites, both familiar and unfamiliar to the children. They investigated how diverse children experienced and lived their lives in particular places within changing communities.

Complex learning through cognitively demanding tasks

The world’s increasing complexity, competitiveness, interconnectivity, and dependence on technology generate new challenges for nations and individuals that cannot be met by “continuing education as usual” (The National Academies, 2009). With the proliferation of complex systems have come new technologies for communication, collaboration, and conceptualization. These technologies have led to significant changes in the forms of mathematical thinking that are required beyond the classroom. This paper argues for the need to incorporate future-oriented understandings and competencies within the mathematics curriculum, through intellectually stimulating activities that draw upon multidisciplinary content and contexts. The paper also argues for greater recognition of children’s learning potential, as increasingly complex learners capable of dealing with cognitively demanding tasks.

Professional capabilities for twenty-first century creative careers : lessons from outstandingly successful Australian artists and designers

Artists and designers are positioned at the centre of the 21st century creative economy. In order to recognise and make the most of the opportunities afforded by this new era, artists and designers still require the creativity, disciplinary depth of knowledge, and technical skills traditionally possessed by professionals in these fields – skills which are a core strength of higher and further art and design education. However, they may also require a range of other, ‘21st century’ creative capabilities which are harder to define, teach for and assess, and are not the focus of traditional art and design pedagogies. This article draws upon the findings of nine in-depth interviews with award-winning Australian artists and designers about their careers and working practices, along with recent international research about the characteristics of the 21st century creative career, in order to highlight the importance of certain professional capabilities for art and design. It discusses the implications of these findings for art and design educators in universities, and curricular and pedagogic considerations associated with embedding these capabilities into undergraduate courses.

New maps of learning for quality art education : what pre-service teachers should learn and be able to do

It would be a rare thing to visit an early years setting or classroom in Australia that does not display examples of young children’s artworks. This practice serves to give schools a particular ‘look’, but is no guarantee of quality art education. The Australian National Review of Visual Arts Education (NRVE) (2009) has called for changes to visual art education in schools. The planned new National Curriculum includes the arts (music, dance, drama, media and visual arts) as one of the five learning areas. Research shows that it is the classroom teacher that makes the difference, and teacher education has a large part to play in reforms to art education. This paper provides an account of one foundation unit of study (Unit 1) for first year university students enrolled in a 4-year Bachelor degree program who are preparing to teach in the early years (0–8 years). To prepare pre-service teachers to meet the needs of children in the 21st century, Unit 1 blends old and new ways of seeing art, child and pedagogy. Claims for the effectiveness of this model are supported with evidence-based research, conducted over the six years of iterations and ongoing development of Unit 1.

Problem solving in the primary school (K-2)

This article focuses on problem solving activities in a first grade classroom in a typical small community and school in Indiana. But, the teacher and the activities in this class were not at all typical of what goes on in most comparable classrooms; and, the issues that will be addressed are relevant and important for students from kindergarten through college. Can children really solve problems that involve concepts (or skills) that they have not yet been taught? Can children really create important mathematical concepts on their own – without a lot of guidance from teachers? What is the relationship between problem solving abilities and the mastery of skills that are widely regarded as being “prerequisites” to such tasks?Can primary school children (whose toolkits of skills are limited) engage productively in authentic simulations of “real life” problem solving situations? Can three-person teams of primary school children really work together collaboratively, and remain intensely engaged, on problem solving activities that require more than an hour to complete? Are the kinds of learning and problem solving experiences that are recommended (for example) in the USA’s Common Core State Curriculum Standards really representative of the kind that even young children encounter beyond school in the 21st century? … This article offers an existence proof showing why our answers to these questions are: Yes. Yes. Yes. Yes. Yes. Yes. And: No. … Even though the evidence we present is only intended to demonstrate what’s possible, not what’s likely to occur under any circumstances, there is no reason to expect that the things that our children accomplished could not be accomplished by average ability children in other schools and classrooms.

Multimodality, media, and access to multiliteracies

In many English-speaking countries bilingual and multilingual speakers of English are integrated into mainstream classrooms, where the teacher is expected to help them “catch up” with speakers of the dominant language. In this presentation, I argue that we teach in culturally and linguistically diverse societies that are increasingly interconnected through a broadened range of multimodal and digital textual practices. Intuitively, one might expect that multimodal approaches are more equitable than exclusively print-based approaches because learners can draw from a broader range of semiotic resources. Yet the potentials of using multiple modes and new digital media to provide greater access to multiliteracies cannot be assumed. I draw on a case study of a multilingual language learner, Paweni, a Thai immigrant, describing how she and her peers negotiated cultural and linguistic difference. These encounters occur during multiliteracies lessons involving both print and digital texts. I theorise a “dialectic of access” to explain the reciprocal interaction between the agency of learners, modes, and media. I apply Giddens’ structuration theory to take into account the social structures – domination, signification, and legitimation – that played an important role in this dialectic of access.

A grand challenge : reflecting on university science curriculum design, collaborative partnerships and integration of information literacy skills

In 2012, Queensland University of Technology (QUT) committed to the massive project of revitalizing its Bachelor of Science (ST01) degree. Like most universities in Australia, QUT has begun work to align all courses by 2015 to the requirements of the updated Australian Qualifications Framework (AQF) which is regulated by the Tertiary Education Quality and Standards Agency (TEQSA). From the very start of the redesigned degree program, students approach scientific study with an exciting mix of theory and highly topical real world examples through their chosen “grand challenge.” These challenges, Fukushima and nuclear energy for example, are the lenses used to explore science and lead to 21st century learning outcomes for students. For the teaching and learning support staff, our grand challenge is to expose all science students to multidisciplinary content with a strong emphasis on embedding information literacies into the curriculum. With ST01, QUT is taking the initiative to rethink not only content but how units are delivered and even how we work together between the faculty, the library and learning and teaching support. This was the desired outcome but as we move from design to implementation, has this goal been achieved? A main component of the new degree is to ensure scaffolding of information literacy skills throughout the entirety of the three year course. However, with the strong focus on problem-based learning and group work skills, many issues arise both for students and lecturers. A move away from a traditional lecture style is necessary but impacts on academics’ workload and comfort levels. Therefore, academics in collaboration with librarians and other learning support staff must draw on each others’ expertise to work together to ensure pedagogy, assessments and targeted classroom activities are mapped within and between units. This partnership can counteract the tendency of isolated, unsupported academics to concentrate on day-to-day teaching at the expense of consistency between units and big picture objectives. Support staff may have a more holistic view of a course or degree than coordinators of individual units, making communication and truly collaborative planning even more critical. As well, due to staffing time pressures, design and delivery of new curriculum is generally done quickly with no option for the designers to stop and reflect on the experience and outcomes. It is vital we take this unique opportunity to closely examine what QUT has and hasn’t achieved to be able to recommend a better way forward. This presentation will discuss these important issues and stumbling blocks, to provide a set of best practice guidelines for QUT and other institutions. The aim is to help improve collaboration within the university, as well as to maximize students’ ability to put information literacy skills into action. As our students embark on their own grand challenges, we must challenge ourselves to honestly assess our own work.