The continuing decline of science and mathematics enrolments in Australian high schools

Is there a crisis in Australian science and mathematics education? Declining enrolments in upper secondary Science and Mathematics courses have gained much attention from the media, politicians and high-profile scientists over the last few years, yet there is no consensus amongst stakeholders about either the nature or the magnitude of the changes. We have collected raw enrolment data from the education departments of each of the Australian states and territories from 1992 to 2012 and analysed the trends for Biology, Chemistry, Physics, two composite subject groups (Earth Sciences and Multidisciplinary Sciences), as well as entry, intermediate and advanced Mathematics. The results of these analyses are discussed in terms of participation rates, raw enrolments and gender balance. We have found that the total number of students in Year 12 increased by around 16% from 1992 to 2012 while the participation rates for most Science and Mathematics subjects, as a proportion of the total Year 12 cohort, fell (Biology (-10%), Chemistry (-5%), Physics (-7%), Multidisciplinary Science (-5%), intermediate Mathematics (-11%), advanced Mathematics (-7%) in the same period. There were increased participation rates in Earth Sciences (+0.3%) and entry Mathematics (+11%). In each case the greatest rates of change occurred prior to 2001 and have been slower and steadier since. We propose that the broadening of curriculum offerings, further driven by students' self-perception of ability and perceptions of subject difficulty and usefulness, are the most likely cause of the changes in participation. While these continuing declines may not amount to a crisis, there is undoubtedly serious cause for concern.

Revisiting Polya's summation techniques using a spreadsheet : from addition tables to Bernoulli polynomials

Recurrence relations in mathematics form a very powerful and compact way of looking at a wide range of relationships. Traditionally, the concept of recurrence has often been a difficult one for the secondary teacher to convey to students. Closely related to the powerful proof technique of mathematical induction, recurrences are able to capture many relationships in formulas much simpler than so-called direct or closed formulas. In computer science, recursive coding often has a similar compactness property, and, perhaps not surprisingly, suffers from similar problems in the classroom as recurrences: the students often find both the basic concepts and practicalities elusive. Using models designed to illuminate the relevant principles for the students, we offer a range of examples which use the modern spreadsheet environment to powerfully illustrate the great expressive and computational power of recurrences.

A survey in mathematics for industry: Two-timing and matched asymptotic expansions for singular perturbation problems

Following the derivation of amplitude equations through a new two-time-scale method [O'Malley, R. E., Jr. & Kirkinis, E (2010) A combined renormalization group-multiple scale method for singularly perturbed problems. Stud. Appl. Math. 124, 383-410], we show that a multi-scale method may often be preferable for solving singularly perturbed problems than the method of matched asymptotic expansions. We illustrate this approach with 10 singularly perturbed ordinary and partial differential equations. © 2011 Cambridge University Press.

Emotional climate and high quality learning experiences in science teacher education

The role of emotion during learning encounters in science teacher education is under-researched and under-theorized. In this case study we explore the emotional climates, that is, the collective states of emotional arousal, of a preservice secondary science education class to illuminate practice for producing and reproducing high quality learning experiences for preservice science teachers. Theories related to the sociology of emotions informed our analyses from data sources such as preservice teachers’ perceptions of the emotional climate of their class, emotional facial expressions, classroom conversations, and cogenerative dialogue. The major outcome from our analyses was that even though preservice teachers reported high positive emotional climate during the professor’s science demonstrations, they also valued the professor’s in the moment reflections on her teaching that were associated with low emotional climate ratings. We co-relate emotional climate data and preservice teachers’ comments during cogenerative dialogue to expand our understanding of high quality experiences and emotional climate in science teacher education. Our study also contributes refinements to research perspectives on emotional climate.

Becoming an inclusive educator : applying Deleuze & Guattari to teacher education

New ways of thinking are required in teacher education to promote beginning teachers as change agents in education. Twenty years after the Salamanca Statement (UNESCO, 1994) that called for schools to provide equitable opportunities for all children, teaching practices in many classrooms are informed by the deficit view of learning. Beginning teachers need to be prepared to challenge the ideological influences that operate in schools. Deleuze and Guattari’s (1987) model of the rhizome is used to report one beginning teacher’s journey as she learnt to negotiate structural and personal obstacles to create an inclusive learning environment. Data from reflective diaries, semi-structured interviews and classroom observations highlight contextual and personal factors in one case study that contributed to the nonlinear, complex process of becoming an inclusive educator. The paper concludes by arguing the voice of beginning teachers is essential for the ongoing movement towards the creation of just, inclusive schools.

School libraries, teacher-librarians and student outcomes : presenting and using the evidence

Evidence is required to ensure the future viability of school libraries and teacher-librarians. Education policy makers and school principals need detailed, reliable evidence to support informed decision-making about school library resourcing and staffing. Teacher-librarians need evidence to guide their professional practice and demonstrate their contribution to student learning outcomes. This review, which arises from recent Australian research (Hughes, 2013), collates international and Australian research about the impacts of school libraries and teacher librarians. It strengthens the evidence base, and recommends how this evidence can be best used to advance school libraries and teacher-librarians and enhance student learning.

How do preservice teacher education students move from novice to expert assessors?

Despite the acknowledged importance of assessment in education, there has been minimal research into the preparation of preservice teachers for the important role of involving preservice teachers in marking, grading, moderating and providing feedback on student work. This article reports on a pilot project in which preservice teachers participated in an ongoing peer assessment and social moderation process in a dedicated course on assessment. The purpose of the project was to investigate specific ways in which key assessment processes can be effectively taught to preservice teachers. The research involved 96 preservice teachers who completed a Likert scale survey and free text responses to set questions. The results indicated that while preservice teachers valued the process, continual opportunities to learn the nature and purpose of essential assessment practices related to marking, grading, moderating and providing feedback are necessary to graduate competent and work-ready assessors.

Teacher education targeting high-poverty schools : the National Exceptional Teachers for Disadvantaged Schools program

This paper examines the Exceptional Teachers for Disadvantaged Schools (ETDS) program and demonstrates how the outcomes from this teacher education model targeting high-poverty schools have been used to expand the model across other Australian universities. The paper outlines the parameters of ETDS and stresses the importance to the program of academic excellence, a modified teacher education curriculum, targeted practicums and a network of jurisdictional and school-based partnerships. The paper presents data from ETDS that demonstrates 90% of graduates have secured employed as teachers within high-poverty Australian schools. The paper concludes by outlining the impact of philanthropic funding (2 million dollars AUD) that will allow the expansion of the ETDS model into other teacher education universities across Australia.

Student interactivity and teacher participation: An application of legitimate peripheral participation in higher education online learning environments

Lave and Wenger’s legitimate peripheral participation is an important aspect of online learning environments. It is common for teachers to scaffold varying levels of online participation in Web 2.0 contexts, such as online discussion forums and blogs. This study argues that legitimate peripheral participation needs to be redefined in response to students’ decentralised multiple interactions and non-linear engagement in hyperlinked learning environments. The study examines students’ levels of participation in online learning through theories of interactivity, distinguishing between five levels of student participation in the context of a first-year university course delivered via a learning management system. The data collection was implemented through two instruments: i) a questionnaire about students’ interactivity perception in the online reflective learning (n = 238) and then ii) an open discussion on the reason for the diverse perceptions of interactivity (n = 34). The study findings indicate that student participants, other than those who were active, need high levels of teacher or moderator intervention, which better enables legitimate peripheral participation to occur in online learning contexts.

Making meaning in mathematics problem solving using the Reciprocal Teaching approach

This paper examines the application of the Reciprocal Teaching instructional approach to Mathematical word problems in the middle years. The Reciprocal Teaching process is extended from the four traditional strategies of predicting, clarifying, questioning and summarising, to include further cognitive reading comprehension strategies applied to the context of solving Mathematical word problems.

Snapshots of teacher librarians as evidence-based practitioners

Drawing on recent doctoral research (Gillespie 2013), this paper presents snapshots of teacher librarians’ lived experience as evidence-based practitioners in Australian schools, and it defi nes what constitutes evidence for teacher librarians. Gillespie’s doctoral research responded to fi ndings of the Australian Government’s Inquiry into School Libraries and Teacher Librarians in Australian Schools (House of Representatives, Standing Committee on Education and Employment 2011) which indicated the urgent need for empirical evidence about the professional practices of teacher librarians and their contributions to school goals and student academic, social and cultural achievements. Such evidence is crucial to ensure the future viability of teacher librarians and their contribution to learning and teaching in schools. This qualitative, interpretive research responds to this need by exploring the experiences of 15 Australian teacher librarians to discover how they gathered and used evidence in performing their professional roles.

How can partnerships between the universities and schools exploit new opportunities for pedagogies at the intersection of the arts/design and the sciences?

Driven by information accessibility-on-demand provided by the internet, education modes are changing from a teacher-led approach focused on content delivery and assessible outcomes, to a learner-based approach encouraging self-directed, peer-tutored, and cooperative learning. New pedagogies are required to extend learning beyond the classroom and traditional subject areas such as contemporary arts, in alignment with the cross disciplinary priorities of the Australian Curriculum and values of the International Baccalaureate Organisation. This research explores how partnerships with universities and cultural organisations are implicated in the generation of these new forms of pedagogy and contribute to the field of educational research within the context of Education Queensland’s Framework For Gifted Education. In particular, this paper explores a new pedagogical framework for highly capable year five to nine Queensland state school students at the intersection of arts, design and the sciences, which has arisen from an explicit secondary/ tertiary partnership between the Queensland University of Technology Creative Industries Faculty and Precincts and the Queensland Academies Young Scholars Program. The Young Scholars Program offers experiences in the International Baccalaureate and Australian Curriculum contexts to enhance outcomes via global understanding, unique industry partnerships and 21st century pedagogical innovation based not on 'content' but tacit/experiential learning concepts including immersive, creative, intellectual and social strategies. These strategies for highly capable students are centred around authentic opportunities, primary resources, transdisciplinary learning and relationships with likeminded peers including tertiary arts, design and STEM educators and students, professionals and researchers. The presentation details case studies which are hands-on real time workshops involving inquiry based challenges in the arts, design and sciences, mathematics, history, creative writing and other disciplines, with content drawn from collections from public institutions, academic research and tertiary pedagogy. Both programs implicate student collaboration and creative production as methodology/data capture for ongoing action research, in alignment with the Framework For Gifted Education’s emphasis on evidence-based practices. They also challenge gifted students “to continue their development through curricular activities that require depth of study, complexity of thinking, fast pace of learning, high-level skills development and/or creative and critical thinking (e.g. through independent investigations, tiered tasks, diverse real-world applications, mentors)”(Education Queensland, 2011:3). This presentation highlights the strengths of the ongoing collaboration between QUT Creative industries Faculty and Queensland Academies, which not only provides successful extra curricular activities for gifted students towards a place in the International Baccalaureate Program, but also provides mentoring opportunities for tertiary students in their field of endeavor to assist with their own learning, and unique research opportunities for the Faculty as it focuses on excellence in arts, design and creative education and research. Education Queensland.(2011). Framework For Gifted Education Revised Edition 2011 (accessed Nov 19 2011)

The impact of transformative learning in a critical service-learning program on teacher development: Building a foundation for inclusive teaching

With international and national policies requiring teachers to adopt inclusive practices worldwide, this paper examines the impact of transformational learning in a critical service-learning program on final-year pre-service teachers’ approaches to inclusive teaching. Data from emailed questionnaires and focus group interviews are analysed through a social, critical framework. The results indicate that the critical service-learning program provided the students with an opportunity to consider diversity and inclusion in selecting teaching strategies, and to enact values suitable to inclusive practices and appreciation of diversity in schools. In this paper we argue that transformative learning experiences about inclusivity and diversity are needed if pre-service teachers are to be challenged to adopt inclusive values and practice in schools. A critical service-learning program for pre-service teachers provides a solid foundation on which to develop or build on the ability to think and teach inclusively.

Teacher and student readiness to use Facebook for learning in an adult vocational educational setting

The factors influencing both teacher and student readiness to use Facebook as part of their teaching and learning in a vocational educational institution were studied through a qualitative case study. Data included teacher and student questionnaire and focus group interviews. While it was found that the students demonstrated readiness and willingness to incorporate Facebook into their current learning, the teachers were more reluctant. Different perceptions around control of learning, time, and concerns around compartmentalisation of learning and social lives would need to be addressed before Facebook could be used as a formal learner engagement strategy.

Indigenous students transitioning to school : responses to pre-foundational mathematics

Australian Indigenous students' mathematics performance continues to be below that of non-Indigenous students. This occurs from the early years of school, due largely to knowledge and social differences on entry to formal schooling. This paper reports on a mathematics research project conducted in one Aboriginal community school in New South Wales, Australia. The project aimed to identify and explain the ways that young Australian Indigenous students (age 2-4 years) learn number language and processes, specifically attribute language, sorting, 1-1 correspondence and, counting. The project adopted a mixed methods approach. That is, the methodology was decolonising (Smith 1999) in that it collaborated with and gave benefit back to the Indigenous community and school being researched. It was qualitative and interpretative (Burns 2000) and incorporated an action-research teaching-experiment approach where and teachers collaborated with the researchers to try new teaching methods. This paper draws on data pertaining to students' response to diagnostic interview questions, the pre- and post-test results of the interview and photographic evidence as observations during mathematics learning time. Participants referred to in this paper include one female principal (N = 1), and the transition class of students' pre- (N = 6) and post-test (N = 3) results of the pre-foundational processes (also referred to as attributes). The results were encouraging with improvements in colour (34%), patterns (33%); capacity (38%). As a result of this project, our epistemology regarding the importance of finding out about students' pre-foundational knowledge and understandings and providing a culturally appropriate learning environment with resources has been built upon.