Greek or not : the use of symbols and abbreviations in mathematics

The use of symbols and abbreviations adds uniqueness and complexity to the mathematical language register. In this article, the reader’s attention is drawn to the multitude of symbols and abbreviations which are used in mathematics. The conventions which underpin the use of the symbols and abbreviations and the linguistic difficulties which learners of mathematics may encounter due to the inclusion of the symbolic language are discussed. 2010 NAPLAN numeracy tests are used to illustrate examples of the complexities of the symbolic language of mathematics.

“Well, hang on, they’re actually much better than that!” : disrupting dominant discourses of deficit about English language learners in senior high school English

This paper explores how four English teachers position their English language learners for critical literacy within senior high school curriculum in Queensland, Australia. Such learners are often positioned, even by their teachers, within a broader “deficit discourse” that claims they are inherently lacking the requisite knowledge and skills to engage with intransigent school curricula. As such, English language learners’ identity formation is often constrained by deficit views that can ultimately see limited kinds of literacy teaching offered to them. Using Fairclough’s (2003) critical discourse analysis method, analysis of 16 interviews with the teachers was conducted as part of a larger, critical instrumental case study in two state high schools during 2010. Five competing discourses were identified: deficit as lack; deficit as need; learner “difference” as a resource; conceptual capacity for critical literacy; and linguistic, cultural and conceptual difficulty with critical literacy. While a deficit view is present, counter-hegemonic discourses also exist in their talk. The combination of discourses challenges monolithic deficit views of English language learners, and opens up generative discursive territory to position English language learners in ways other than “problematic”. This has important implications for how teachers view and teach English language learners and their capacity for critical literacy work in senior high school classrooms.

The enactment of formative assessment in English language classrooms in two Chinese universities : teacher and student responses

The College English Curriculum Requirements (CECR), announced by the Chinese Ministry of Education in 2007, recommended the inclusion of formative assessment into the existing summative assessment framework of College English. This policy had the potential to fundamentally change the nature of assessment and its role in the teaching and learning of English in Chinese universities. In order to document and analyse these changes, case studies involving English language teachers and learners were undertaken in two Chinese Universities: one a Key university in the national capital; the other a non-Key university in a western province. The case study design incorporated classroom observations and interviews with English language teachers and their students. The type and focus of feedback and the engagement of students in assessment were analysed in the two contexts. Fundamental to the analysis was the concept of enactment, with the focus of this study on the ways that policy ideas and principles were enacted in the practices of the Chinese university classroom. Understandings of formative assessment as applied in contexts other than the predominantly Western, Anglophone contexts from where many of its principles derive, are offered.

Teacher aides and their pedagogical contributions in the underachieving Indigenous mathematics classroom

This study examines the pedagogical contributions made by teacher aides in underperforming Indigenous mathematics secondary classrooms. Three teaching teams, each consisting of a teacher and their teacher aide, responded to semi-structured interviews. Their mathematics classrooms were observed for details of pedagogical contributions to the mathematics lessons. It was found that the pedagogical contributions of the teacher aides varied from co-teaching contributions, to the provision of menial support and behaviour management. The techniques used by the teacher aides to provide student feedback, to support behaviour management and to undertake questioning vary greatly, and this variance is also evident in the classroom atmosphere. Teacher aides are providing pedagogical contributions, and are engaged in instructional interactions, and are in a sense “teaching”.

School libraries, teacher-librarians and their contribution to student literacy development in Gold Coast schools

This is the first research focusing on Gold Coast school libraries and teacher- librarians. It presents a detailed picture of library provision and staffing at a representative group of 27 government and non-government schools at the Gold Coast. It shows links between employment of a teacher-librarian and higher NAPLAN reading and writing scores. And it presents the principals’ generally positive views about teacher-librarians’ contribution to reading and literacy at their schools. The findings respond in part to the recent government inquiry’s call (House of Representatives, 2011) for research about the current staffing of school libraries in Australia, and the influence of school libraries and teacher-librarians on students’ literacy and learning outcomes. While the study has focused on a relatively small group of school libraries, it has produced a range of significant outcomes: • An extensive review of international and Australian research showing impacts of school libraries and teacher-librarians on students’ literacy and learning outcomes • Findings consistent with international research showing: - An inverse relationship between lower student to EFT library staff ratio and higher school NAPLAN scores for reading and writing - Schools that employ a teacher-librarian tend to achieve school NAPLAN scores for respective year levels that are higher than the national mean It is anticipated that the study’s findings will be of interest to education authorities, school leadership teams, teacher-librarians, teachers and researchers. The findings provide evidence to: • inform policy development and strategic planning for school libraries that respond to the literacy development needs of 21st century learners • inform school-based management of school libraries • inform curriculum development and teacher-librarian practice • support further collaborative research on a State or national level • enhance conceptual understandings about relationship(s) between school libraries, teacher-librarians and literacy/information literacy development • support advocacy about school libraries, teacher-librarians and their contribution to literacy development and student learning in Australian schools SLAQ President Toni Leigh comments: “It is heartening to see findings which validate the critical role teacher-librarians play in student literacy development and the positive correlation of higher NAPLAN scores and schools with a qualified teacher-librarian. Also encouraging is the high percentage of school principals who recognise the necessity of a well resourced school library and the positive influence of these libraries on student literacy”. This research arises from a research partnership between School Library Association of Queensland (SLAQ) and Children and Youth Research Centre, QUT. Lead researcher: Dr Hilary Hughes, Children and Youth Research Centre, QUT Research assistants: Dr Hossein Bozorgian, Dr Cherie Allan, Dr Michelle Dicinoski, QUT SLAQ Research Reference Group: Toni Leigh, Marj Osborne, Sally Fraser, Chris Kahl and Helen Reynolds Reference: House of Representatives. (2011). School libraries and teacher librarians in 21st century Australia. Canberra: Commonwealth of Australia. http://www.aph.gov.au/Parliamentary_Business/Committees/House_of_Representatives_Committees?url=ee/schoollibraries/report.htm

Learner strategy instruction and student uptake of strategies in a Japanese as a foreign language context

The Japanese language is recognised as being more difficult than European languages, needing three times more tuition time to reach comparable levels of proficiency. Encouraging Japanese as a Foreign Language (JFL) students to become aware of, and effectively use, learner strategies is one way to assist them become more controlled, effective learners leading to enhanced language learning. This thesis investigates the development and implementation of a JFL curriculum implemented in a university course for students learning JFL. The curriculum was developed specifically to assist beginner university students with the development of learner strategies appropriate for a JFL reading context. The theoretical underpinning of the study was informed by Educational Criticism (Eisner, 1998), which aims to describe, interpret and evaluate the processes of interaction between the teacher, the learner and the curriculum and the students' learning processes in a tertiary JFL classroom. The study investigated the effect on student learning processes of a JFL reading program that incorporated explicit learner strategy instruction and identified factors that enhanced or impeded the development of learner strategy knowledge. The participants in the study were 29 students enrolled in the course, 10 of whom volunteered to undertake additional tasks, and the two teachers who implemented the curriculum. Data collection involved a number of different strategies to observe the students' participation in the classroom and learning experiences. Learning processes were investigated through TOL protocols, classroom observations, course evaluations, interviews, and learner strategy use measurement instruments (SILL, SILK and SORS) to document student uptake of learner strategies. The design of the study and its applied focus recognised my expertise as a JFL teacher, curriculum writer and researcher, an approach that aligns with the purpose of a Professional Doctorate. Four general thematics, or principles, were identified in this study: „h Explicit learner strategy instruction provides the context for students to develop awareness of learner strategies and take control of their learning; „h Collaborative learning and interaction with teachers offers students the opportunity for shared knowledge construction; „h Reflection offers teachers and students the opportunity to reflect on their own learning style and strategy knowledge, and raises awareness of other available strategies; and „h Diverse cultural and linguistic backgrounds have an impact on curriculum implementation and student uptake of learner strategies. The study¡¦s methodological contribution is that it is one of the first in Australia to use Educational Criticism (Eisner, 1998) as a research methodology. The findings contribute to theoretical knowledge in the fields of Applied Linguistics, Second Language Teaching and Learning, Second Language Acquisition and JFL Teaching and Learning by offering new knowledge on the importance of learner strategies in the beginner JFL classroom, the potential of explicit strategy instruction, the value of reflection for both teachers and students, and the important role of the teacher in the process of curriculum implementation. The general principles identified and the findings of this in-depth study of a JFL classroom can be drawn upon to inform other teaching practice situations, and invite practitioners from not just Japanese, but from other language areas and other disciplines, to examine and improve their own practices, and suggest further research questions to pursue this line of enquiry.

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.

Language and literacy in mathematics: stepping stones or stumbling blocks in accelerating junior-secondary students

The authors have collaborated in the development and initial evaluation of a curriculum for mathematics acceleration. This paper reports upon the difficulties encountered with documenting student understanding using pen-and-paper assessment tasks. This leads to a discussion of the impact of students’ language and literacy on mathematical performance and the consequences for motivation and engagement as a result of simplifying the language in the tests, and extending student work to algebraic representations. In turn, implications are drawn for revisions to assessment used within the project and the language and literacy focus included within student learning experiences.

Thai students' engagement with cooperative learning in mathematics classrooms

Over the past decade, Thai schools have been encouraged by the Thai Ministry of Education to introduce more student-centred pedagogies such as cooperative learning into their classrooms (Carter, 2006). However, prior research has indicated that the implementation of cooperative learning into Thai schools has been confounded by cultural traditions endemic within Thai schools (Deveney, 2005). The purpose of the study was to investigate how 32 Grade 3 and 32 Grade 4 students enrolled in a Thai school engaged with cooperative learning in mathematics classrooms after they had been taught cooperative learning strategies and skills. These strategies and skills were derived from a conceptual framework that was the outcome of an analysis and synthesis of social learning, behaviourist and socio-cognitive theories found in the research literature. The intervention began with a two week program during which the students were introduced to and engaged in practicing a set of cooperative learning strategies and skills (3 times a week). Then during the next four weeks (3 times a week), these cooperative learning strategies and skills were applied in the contexts of two units of mathematics lessons. A survey of student attitudes with respect to their engagement in cooperative learning was conducted at the conclusion of the six-week intervention. The results from the analysis of the survey data were triangulated with the results derived from the analysis of data from classroom observations and teacher interviews. The analysis of data identified four complementary processes that need to be considered by Thai teachers attempting to implement cooperative learning into their mathematics classrooms. The paper concludes with a set of criteria derived from the results of the study to guide Thai teachers intending to implement cooperative learning strategies and skills in their classrooms.

Developing speaking assessment tasks to reflect the 'social turn' in language testing

Interactional competence has emerged as a focal point for language testing researchers in recent years. In spoken communication involving two or more interlocutors, the co-construction of discourse is central to successful interaction. The acknowledgement of co-construction has led to concern over the impact of the interlocutor and the separability of performances in speaking tests involving interaction. The purpose of this article is to review recent studies of direct relevance to the construct of interactional competence and its operationalisation by raters in the context of second language speaking tests. The review begins by tracing the emergence of interaction as a criterion in speaking tests from a theoretical perspective, and then focuses on research salient to interactional effectiveness that has been carried out in the context of language testing interviews and group and paired speaking tests.

Towards a classification of criterion referenced assessment models in mathematics courses : student and academic perspectives

We present the findings of a study into the implementation of explicitly criterion- referenced assessment in undergraduate courses in mathematics. We discuss students' concepts of criterion referencing and also the various interpretations that this concept has among mathematics educators. Our primary goal was to move towards a classification of criterion referencing models in quantitative courses. A secondary goal was to investigate whether explicitly presenting assessment criteria to students was useful to them and guided them in responding to assessment tasks. The data and feedback from students indicates that while students found the criteria easy to understand and useful in informing them as to how they would be graded, it did not alter the way the actually approached the assessment activity.

Teacher change and professional development in mathematics education

It is generally agreed that if authentic teacher change is to occur then the tacit knowledge about how and why they act in certain ways in the classroom be accessed and reflected upon. While critical reflection can and often is an individual experience there is evidence to suggest that teachers are more likely to engage in the process when it is approached in a collegial manner; that is, when other teachers are involved in and engaged with the same process. Teachers do not enact their profession in isolation but rather exist within a wider community of teachers. An outside facilitator can also play an active and important role in achieving lasting teacher change. According to Stein and Brown (1997) “an important ingredient in socially based learning is that graduations of expertise and experience exist when teachers collaborate with each other or outside experts” (p. 155). To assist in the effective professional development of teachers, outside facilitators, when used, need to provide “a dynamic energy producing interactive experience in which participants examine and explore the complex components of teaching” (Bolster, 1995, p. 193). They also need to establish rapport with the participating teachers that is built on trust and competence (Hyde, Ormiston, & Hyde, 1994). For this to occur, professional development involving teachers and outside facilitators or researchers should not be a one-off event but an ongoing process of engagement that enables both the energy and trust required to develop. Successful professional development activities are therefore collaborative, relevant and provide individual, specialised attention to the teachers concerned. The project reported here aimed to provide professional development to two Year 3 teachers to enhance their teaching of a new mathematics content area, mental computation. This was achieved through the teachers collaborating with a researcher to design an instructional program for mental computation that drew on theory and research in the field.

Teaching in a nutshell : navigating your teacher education program as a stdent teacher

Teacher education programs bridge the interests of two worlds - the world of educational theory and the world of teaching practice. Despite teacher educators’ best attempts to convince pre-service teachers that theory and practice are linked, it is often during their practicum placements when pre-service teachers claim that their ‘real’ learning takes place. It is also on practicum when students teachers face (and are surprised by) the ‘extensive decision-making role of the teacher, the emotional aspects of teaching, and the sheer volume of work’ (p.4). Kosnick and Beck’s new book Teaching in a Nutshell utilises the authors’ extensive research with beginning teachers to help students ‘navigate’ their way through their programs. Identifying what they have found in their research to be the seven key priorities for teachers, each chapter follows a helpful structure beginning with an overview of current thinking in the priority area, followed by a case study of a beginning teacher showing how s/he implements the strategy...

Responding to national curriculum goals for English language learners : enhancing reading strategies in high school content areas

The official need for content teachers to teach the language features of their fields has never been greater in Australia than now. In 2012, the recently formed national curriculum board announced that all teachers are responsible for the English language development of students whose first language or dialect is not Standard Australian English (SAE). This formal endorsement is an important juncture regarding the way expertise might be developed, perceived and exchanged between content and language teachers through collaboration, in order for the goals of English language learners in content areas to be realised. To that end, we conducted an action research project to explore and extend the reading strategies pedagogy of one English language teacher who teaches English language learners in a parallel junior high school Geography program. Such pedagogy will be valuable for all teachers as they seek to contribute to English language development goals as outlined in national curricula.

School libraries and teacher-librarians : evidence of their contribution to student literacy and learning

International research provides compelling evidence that school libraries and teacher-librarians make a significant contribution to student literacy and learning outcomes. After summarising previous research, this article presents recent research focused on Gold Coast schools. These new Australian findings present an evidenced based snapshot of school libraries and teacher-librarians, from the principals’ perspective. They indicate that school NAPLAN scores for reading and writing were generally higher when student-to-library staff ratios were lower (i.e. better) and when the school employed a teacher-librarian. In light of the National Plan for School Improvement, the findings are of potential interest to education authorities, policy makers, school leadership teams, teacher-librarians, teachers, parents and researchers. They offer evidence to inform policy development and strategic planning for school libraries and professional staffing.