Learning through modelling in the primary years

Many nations are highlighting the need for a renaissance in the mathematical sciences as essential to the well-being of all citizens (e.g., Australian Academy of Science, 2006; 2010; The National Academies, 2009). Indeed, the first recommendation of The National Academies’ Rising Above the Storm (2007) was to vastly improve K–12 science and mathematics education. The subsequent report, Rising Above the Gathering Storm Two Years Later (2009), highlighted again the need to target mathematics and science from the earliest years of schooling: “It takes years or decades to build the capability to have a society that depends on science and technology . . . You need to generate the scientists and engineers, starting in elementary and middle school” (p. 9). Such pleas reflect the rapidly changing nature of problem solving and reasoning needed in today’s world, beyond the classroom. As The National Academies (2009) reported, “Today the problems are more complex than they were in the 1950s, and more global. They’ll require a new educated workforce, one that is more open, collaborative, and cross-disciplinary” (p. 19). The implications for the problem solving experiences we implement in schools are far-reaching. In this chapter, I consider problem solving and modelling in the primary school, beginning with the need to rethink the experiences we provide in the early years. I argue for a greater awareness of the learning potential of young children and the need to provide stimulating learning environments. I then focus on data modelling as a powerful means of advancing children’s statistical reasoning abilities, which they increasingly need as they navigate their data-drenched world.

Heathcote’s practice-led teaching: Pioneering research as well as pioneering pedagogy

It is widely recognized that Dorothy Heathcote was a dynamic and radical teacher who transformed and continually reinvented drama teaching. She did this by allowing her emerging thinking and understandings to flow from, and be tested by, regular and intensive ‘practicing’ in the classroom. In this way theoretical claims were grounded and evidenced in authentic classroom practice. And yet, for all her impact, it is rare to hear the claim that Heathcote’s pedagogic breakthroughs resulted from a legitimate research methodology. Clever and charismatic teaching yes; research no. One of the world’s best teachers certainly, but not a researcher; even though every lesson was experimental and every classroom was a site for discovery. This paper investigates that conundrum firstly by acknowledging that Heathcote’s practice-led teaching approach to discovery did not map comfortably on to the established educational research traditions of the day. It argues that traditional research methodologies, with their well-established protocols and methods, could not understand or embrace a research process which does its work by creating ‘fictional realities’ of openness, allegory and uncertainty. In recent years however it can be seen that Heathcote’s practice led-teaching, so essential for advancing the field, closely aligns with what many contemporary researchers are now calling practice-led research or practice as research or, in many Nordic countries, artistic research. A form of performative research, practice-led research has not emerged from the field of education but rather from the creative arts. Seeking to develop ways of researching creative practice which is deeply sympathetic and respectful of that practice, artist-researchers have developed practice-led research “which is initiated in practice, where questions, problems, challenges are identified and formed by the needs of practice and practitioners” (Grey, 1996). This sits comfortably with Heathcote’s classroom priority of “discovering by trial, error and testing; using available materials with respect for their nature, and being guided by this appreciation of their potential” (Heathcote, 1967). The paper will conclude by testing the dynamics of Heathcote’s practice-led teaching against the six conditions of practice-led research (Haseman&Mafe, 2011), a testing which will allow for a re-interpretation and re-housing of Dorothy Heathcote’s classroom-based teaching methodology as a form of performative research in its own right.

Accolades or achievement? Addressing the unforeseen consequences of therapeutic pedagogy

Commentary "We have found little to indicate that indiscriminately promoting self-esteem in today’s children or adults, just for being themselves, offers society any compensatory benefits beyond the seductive pleasure it brings to those engaged in the exercise. (Baumeister, Campbell, Krueger, & Vohs, 2005)" In June this year, Wellesley High School became a focus of attention worldwide, following a graduation speech made by a teacher at the school. Departing from the traditional rhetoric of such ceremonies, English teacher David McCullough told the assembled graduates that they were neither special nor exceptional, but may well believe they were because they had been ‘pampered, cosseted, doted upon, helmeted, and bubble-wrapped, feted and fawned over’, an effect, he argued, of Americans’ ‘love of accolades more than genuine achievement’ (Christakis, 2012, p. 1). This assertion struck a chord not only in his home country, but more widely in the Western world, with many educators, childcare workers and parents experiencing a sense of unease about the extent to which this claim was justifiable, and if so, what sort of corrective might be needed.

Inventory of pedagogy and practice: Confirmatory factor analysis of multiple facets of teaching

Student perceptions of teaching have often been used in tertiary education for evaluation purposes. However, there is a paucity of research on the validity, reliability, and applicability of instruments that cover a wide range of student perceptions of pedagogies and practices in high school settings for descriptive purposes. The study attempts to validate an inventory of pedagogy and practice (IPP) that provides researchers and practitioners with a psychometrically sound instrument that covers the most salient factors related to teaching. Using a sample of students (N = 1515) from 39 schools in Singapore, 14 factors about teaching in English lessons from the students’ perspective were tested with confirmatory factor analysis (classroom task goal, structure and clarity, curiosity and interest, positive class climate, feedback, questioning, quality homework, review of students’ work, conventional teaching, exam preparation, behaviour management, maximizing learning time, student-centred pedagogy, and subject domain teaching). Two external criterion factors were used to further test the IPP factor structure. The inventory will enable teachers to understand more about their teaching and researchers to examine how teaching may be related to learning outcomes.

Transforming pedagogy: Building the new ‘old school’

Global shifts in design practice, design education and in higher education in general have radically changed teaching practices over the past decade. In a time of tightening budgets and other factors, various paradigm shifts and challenges are continually evolving and rapidly changing the higher education landscape. Rising to these challenges and responding to them is a complex task, requiring creative approaches applied to traditional methods and tools in interior architecture and interior design courses. The focus of this paper is a discussion of the adaptation of an ‘old school’ traditional tutorial approach within the context of online interior design education, which was applied in an endeavour to increase student engagement with current relevant literature pertinent to interior design theory and practice. The adaptation and application of this tutorial approach, the O-tutorial, creates a necessary link to critical thinking and meta-cognition connecting theoretical concepts to interior design process and practice. Initial data reveals that the O-tutorial allows students to engage and critically analyse issues surrounding theory and practice, thus equipping them with the skills as future design professionals. The paper concludes with reflections and recommendations for interior design education and future potential use and application of the O-tutorial.

Challenges in embedding numeracy throughout the curriculum in three Queensland secondary schools

The new Australian Curriculum and national standardised testing have placed the teaching of numeracy across the curriculum at the forefront of what Australian schools must do. However, it has been left to schools to determine how they do this. Although there is a growing body of literature giving examples of pedagogies that embed numeracy in various learning areas, there are few studies of cross-curricular numeracy from the management perspective. This paper responds to the research question: How do selected Queensland secondary schools interpret and apply the Australian Curriculum requirement to embed numeracy throughout the curriculum? A multiple case study design was used to investigate the actions of the senior managers and mathematics teachers in three large secondary schools located in outer Brisbane. The numeracy practices in the three schools were interpreted from asocial constructivist perspective. The study found that in each school key managers had differing constructions of numeracy that led to confusion in administrative practices, policy development and leadership. The lack of coordinated cross-curricular action in numeracy in all three schools points to the difficulty that arises when teachers do not share the cross-curricular vision of numeracy present in the Australian Curriculum. The managers identified teachers’ commitment, understanding, or skills in relation to numeracy as significant barriers to the successful implementation of numeracy in their school. Adoption of the Australian Curriculum expectation of embedding numeracy across the curriculum will require school managers to explicitly commit to initiatives that require persistence,time and, most importantly, money.

Engaging students (and their teachers) in STEM through robotics

Robotics@QUT is a university outreach program aimed at building pre- and in-service teacher capacity to encourage interest in Science, Technology, Engineering and Mathematics (STEM) subjects with school children from low socio-economic status areas. Currently over 35 schools are involved in the outreach program. Professional Development workshops are provided to teachers to build their knowledge in implementing robotics-based STEM activities in their classrooms, robotics loan kits are provided, and pre-service teacher visits arranged to provide the teachers with on-going support. The program also provides opportunities for school students to engage in robotics-based on-campus activities and competitions and is seen as a way to build aspirations for university. This paper presents an interim evaluation that examines the value of the Robotics@QUT program for the teachers, pre-service teachers and school students participating in the program. Surveys were administered to determine the participants’ perceived benefits of being involved and their perceptions of the program. The data gathered from the teachers showed that they had gained knowledge and confidence and felt that the Robotics@QUT program had assisted them to deliver engaging robotics-based STEM activities in their classrooms. The pre-service teachers’ responses focused on benefits for themselves, for their future teaching careers and for the school students involved. The school students’ responses focused on their increased knowledge and confidence to pursue future STEM studies and careers.

Teaching scenario analysis – An action learning pedagogy

In this paper we provide an introduction to our teaching of scenario analysis. Scenario analysis offers an excellent instructional vehicle for investigating ‘wicked problems’; issues that are complex and ambiguous and require trans-disciplinary inquiry. We outline the pedagogical underpinning based on action learning and provide a critical approach from the intuitive logics school of scenario analysis. We use this in our programme in which student groups engage in semi-structured, but divergent and inclusive analysis of a selected focal issue. They then develop a set of scenario storylines that outline the limits of possibility and plausibility for a selected time-horizon year. The scenarios are portrayed not as narratives, but as vehicles for exploration of the causes and outcomes of the interplay between forces in the contextual environment that drive the unfolding future in the context of the focal issue. In this way, we provide internally-generated challenges to both individual pre-conceptions and group-level thinking.

Socially critical pedagogy and the 'production of skilled performers': Further considerations of teaching and learning in physical education

The growing call for physical educators to move beyond the bounds of performance has been a powerful discourse. However, it is a discourse that has tended to be heavy on theory but light on practical application. This paper discusses recent work in the area of skill acquisition and what this might mean for pedagogical practices in physical education. The acquisition of motor skill has traditionally been a core objective for physical educators, and there has been a perception that child-centred pedagogies have failed in the achievement of this traditional yardstick. However, drawing from the work of Rovegno and Kirk (1995) and Langley (1995; 1997), and making links with current work in the motor learning area, it is possible to show that skill acquisition is not necessarily compromised by child-centred pedagogy. Indeed, working beyond Mosston's discovery threshold and using models such as Games for Understanding, can provide deeper skill-learning experiences as well as being socially just.

Perubahan bahasa dalam perspektif Pre neogrammarian dan Neogrammarian dan Pengajaran bahasa dalam konteks EFL (Pre-Neogrammarian and Neogrammarians’ language change and English language pedagogy in EFL contexts)

This article describes different perspectives in response to language change, and aligns the perspectives of language change to English language pedagogy in non-English speaking contexts. The Pre-Neogrammarian and Neo-grammarian linguists that believe the change leads to respectively language decay or language existence will be outlined. This article suggests that the theories derived from both perspectives can be applied to any language. Once there is cultural contact between languages, the dominant language tends to suppress the non-dominant language. Hence, besides focusing on changes that happen in English and the effects of the changes into this language, this article also considers that other language—in this case EFL teachers’ “local language”—experiences an adverse change as the result of the speakers’ interaction with English. Then, this article also describes how the changes might lead to EFL teachers’ adaptation in their practice and cause teachers’ dilemmas.

A preliminary analysis of teacher perceptions of the effects of NAPLAN on pedagogy and curriculum

This paper reports preliminary survey findings of Western Australian and South Australian teacher perceptions of the impact of NAPLAN on curriculum and pedagogy in their classroom and school. The paper examines how teachers perceive the effects of NAPLAN on curriculum and pedagogy and whether these perceptions mediated by the teacher’s gender, the socioeconomics of the school, the State and the school system in which the teacher works. Teachers report that they are either choosing or being instructed to teach to the test, that this results in less time being spent on other curriculum areas and that these effects contribute in a negative way to the class environment and the engagement of students. This largely agrees with a body of international research that suggests that high-stakes literacy and numeracy tests often results in unintended consequences such as a narrow curriculum focus, a return to teacher-centred instruction and a decrease in motivation. Analysis suggests there is a relationship between participant responses to the effect of NAPLAN on curriculum based on the characteristics of which State the teacher taught in, the socioeconomic status of the school and the school system in which they were employed (State, Catholic, and Independent).

The effects of NAPLAN: Teacher perceptions of the impact of NAPLAN on pedagogy and curriculum

This paper reports preliminary findings of a survey of in-service teachers in WA and SA conducted in 2012. Participants completed an online survey open to all teachers in WA and SA. The survey ran for three months from April to June 2012. One section of the survey asked teachers to report their perceptions of the impact that NAPLAN has had on the curriculum and pedagogy of their classroom and school. Two principal research questions were addressed in this preliminary analysis. First what are teacher perceptions of the effects on NAPLAN on curriculum and pedagogy? Second, are there any interaction effects between gender, socioeconomics status, location and school system on teachers perceptions? Statistical analyses examined one- and two-way MANOVA to assess main effects and interaction effects on teachers' global perceptions. These were followed by a series of exploratory one- and two-way ANOVA of specific survey items to suggest potential sources for differences among teachers from different socioeconomic regions, states and systems. Teachers report that they are either choosing or being instructed to teach to the test, that this results in less time being spent on other curriculum areas and that these effects contribute in a negative way on the engagement of students. This largely agrees with a body of international research that suggests that high-stakes literacy and numeracy tests often results in unintended consequences such as a narrow curriculum focus (Au, 2007), a return to teacher-centred instruction (Barret, 2009) and a decrease in motivation (Ryan & Wesinstein, 2009). Preliminary results from early survey respondents suggests there is a relationship between participant responses to the effect of NAPLAN on curriculum and pedagogy based on the characteristics of which State the teacher taught in, their perceptions of the socioeconomic status of the school and the school system in which they were employed (State, Catholic, and Independent).

The impact of nonlinear pedagogy on physical education teacher education students’ intrinsic motivation

Background: Providing motivationally supportive physical education experiences for learners is crucial since empirical evidence in sport and physical education research has associated intrinsic motivation with positive educational outcomes. Self-determination theory (SDT) provides a valuable framework for examining motivationally supportive physical education experiences through satisfaction of three basic psychological needs: autonomy, competence and relatedness. However, the capacity of the prescriptive teaching philosophy of the dominant traditional physical education teaching approach to effectively satisfy the psychological needs of students to engage in physical education has been questioned. The constraints-led approach (CLA) has been proposed as a viable alternative teaching approach that can effectively support students’ self-motivated engagement in physical education. Purpose: We sought to investigate whether adopting the learning design and delivery of the CLA, guided by key pedagogical principles of nonlinear pedagogy (NLP), would address basic psychological needs of learners, resulting in higher self-reported levels of intrinsic motivation. The claim was investigated using action research. The teacher/researcher delivered two lessons aimed at developing hurdling skills: one taught using the CLA and the other using the traditional approach. Participants and Setting: The main participant for this study was the primary researcher and lead author who is a PETE educator, with extensive physical education teaching experience. A sample of 54 pre-service PETE students undertaking a compulsory second year practical unit at an Australian university was recruited for the study, consisting of an equal number of volunteers from each of two practical classes. A repeated measures experimental design was adopted, with both practical class groups experiencing both teaching approaches in a counterbalanced order. Data collection and analysis: Immediately after participation in each lesson, participants completed a questionnaire consisting of 22 items chosen from validated motivation measures of basic psychological needs and indices of intrinsic motivation, enjoyment and effort. All questionnaire responses were indicated on a 7-point Likert scale. A two-tailed, paired-samples t-test was used to compare the groups’ motivation subscale mean scores for each teaching approach. The size of the effect for each group was calculated using Cohen’s d. To determine whether any significant differences between the subscale mean scores of the two groups was due to an order effect, a two-tailed, independent samples t test was used. Findings: Participants’ reported substantially higher levels of self-determination and intrinsic motivation during the CLA hurdles lesson compared to during the traditional hurdles lesson. Both groups reported significantly higher motivation subscale mean scores for competence, relatedness, autonomy, enjoyment and effort after experiencing the CLA than mean scores reported after experiencing the traditional approach. This significant difference was evident regardless of the order that each teaching approach was experienced. Conclusion: The theoretically based pedagogical principles of NLP that inform learning design and delivery of the CLA may provide teachers and coaches with tools to develop more functional pedagogical climates, which result in students exhibiting more intrinsically motivated behaviours during learning.

Who pays for standardised testing? A cost-benefit study of mandated testing in three Queensland secondary schools

This paper reports on an Australian study that explored the costs and benefits of the National Assessment Programme, Literacy and Numeracy (NAPLAN) testing, both tangible and intangible, of Year 9 students in three Queensland schools. The study commenced with a review of pertinent studies and other related material about standardised testing in Australia, the USA and UK. Information about NAPLAN testing and reporting, and the pedagogical impacts of standardised testing were identified, however little about administrative costs to schools was found. A social constructivist perspective and a multiple case study approach were used to explore the actions of school managers and teachers in three Brisbane secondary schools. The study found that the costs of NAPLAN testing to schools fell into two categories: preparation of students for the testing; and administration of the tests. Whilst many of the costs could not be quantified, they were substantial and varied according to the education sector in which the school operated. The benefits to schools of NAPLAN testing were found to be limited. The findings have implications for governments, curriculum authorities and schools, leading to the conclusion that, from a school perspective, the benefits of NAPLAN testing do not justify the costs.

Bhutanese eighth grade students' and teachers' perceptions of their classroom learning environment in relation to the new mathematics curriculum

This thesis examined how Bhutanese eighth grade students and teachers perceived their classroom learning environment in relation to a new standards-based mathematics curriculum. Data were gathered from administering surveys to a sample of 608 students and 98 teachers, followed by semi-structured interviews with selected participants. The findings of the study indicated that participants generally perceived their learning environments favorably. However, there were differences in terms of gender, school level, and school location. The study provides teachers, educational leaders, and policy-makers in Bhutan new insights into students' and teachers' perceptions of their mathematics classroom environments.