Teaching Linear Functions in Context with Graphics Calculators: Students’ Responses and the Impact of the Approach on Their Use of Algebraic Symbols

This study analyses some of the consequences of adopting a functional/modelling approach to the teaching of algebra. The teaching of one class of 17 students was observed over five weeks, with 15 students undertaking both pre- and post-tests and 6 students and the teacher being interviewed individually. Use of graphics calculators made the predominantly graphical approach feasible. Students made considerable progress in describing linear relationships algebraically. They commented favourably on several aspects of learning concepts through problems in real contexts and were able to set up equations to solve contextualised problems. Three features of the program exerted a triple influence on students use and understanding of algebraic symbols. Students concern to express features of the context was evident in some responses, as was the influence of particular contexts selected. Use of graphics calculators affected some students choice of letters. The functional approach was evident in the meanings ascribed to letters and rules. Students were very positively disposed to the calculators, and interesting differences were observed between the confidence with which they asked questions about the technology and the diffidence with which they asked mathematical questions. Kaye Stacey: Author for correspondence.     

Reconceptualising professional experiences in pre-service teacher education…reconstructing the past to embrace the future

This paper provides a conceptual framework for developing high-quality professional experiences for pre-service teachers. The paper begins with a discussion of how professional experiences are conceptualised, structured and supervised in each of three orientations, which we have termed traditional, reflective and learning communities. We then describe a number of professional experience initiatives at two Australian universities, which are being reconceptualised around the notion of learning communities. We argue that framing professional experience around the notion of learning communities has the potential to support pre-service teachers to work with their peers and mentor teachers in more collegial and reciprocal ways.     

School reform for positive behaviour support through collaborative learning: utilising lesson study for a learning community

Recent research has emphasised educating children about positive behaviours to overcome delinquency issues, but there is little clarification of what factors lead to positive behaviours. This study analyses factors that led to children’s positive behaviours at a junior high school in Japan, which experienced a dramatic turnaround after implementing school reform using Lesson Study for Learning Community (LSLC). In this study, the results of a mixed-methods analysis show that if children receive psychological support they are likely to psychologically support others and, similarly, those who receive concrete help tend to offer concrete help to others. To foster learning cultures in which this happens, it is critical to engage the entire school in appropriate changes: for example, teachers’ positive attitudes towards children and learning are important factors encouraging children to support others.     

Feedback codes and action plans: building the capacity of first-year students to apply feedback to a scientific report

Effective feedback can build self-assessment skills in students so that they become more competent and confident to identify and self-correct weaknesses in their work. In this study, we trialled a feedback code as part of an integrated programme of formative and summative assessment tasks, which provided feedback to first-year students on their initial attempt at a scientific biology report. We investigated the students’ perceptions of the feedback code and associated action plan exercise, and found that the code provided the majority of students with clear feedback, whilst the action plan provided a tool for decoding and interpreting the feedback and ensuring errors were not repeated in a subsequent report. We argue that a feedback code can be a valuable inclusion in a wider programme of feedback provision particularly when it is supported by activities that require students to engage with the codes and feed that learning forward to subsequent tasks.     

Learning to be an Art Educator: Student Teachers’ Attitudes to Art and Art Education

Visual Art educators are keenly aware of the significant contribution art can make to the growth and development of young children as it provides unique opportunities for personal expression and creativity. However, while it is acknowledged that art contributes to the development of the whole child, the link between thought and practice is often tenuous. Hence the question needs to be asked, what do student teachers really think about art and art education. This longitudinal study aimed at an exploration of student teachers prior experiences, existing knowledge, beliefs, attitudes, perceptions and interest in the visual arts. One hundred and ten B.Ed. (Primary) students enrolled in two compulsory Visual Arts Education units of study were surveyed in March 1999 and then in October 2001 to ascertain how they interpreted the term visual arts; how this related to visual arts education (if, in fact it did); where they would position visual arts amongst the other five key learning areas of the primary curriculum; and ultimately how they felt about the prospect of teaching visual arts in a primary school context. The findings of the research revealed a number of significant differences between the initial data (March 1999) and the final data (October 2001).     

‘Things fall apart so they can fall together’: uncovering the hidden side of writing a teaching award application

Teaching awards are now common practice in higher education. However, few award applicants and their writing guides have investigated their experience of writing a teaching award application, a writing process recognised as different from that required in research publication. To systematically research and analyse their personal experiences two successful Australian Learning and Teaching Council Citation applicants (Robyn and Thea) and their guide (Coralie) undertook a process of self-inquiry from an autoethnographic perspective. This paper presents a narrative constructed by Coralie, Robyn and Thea to bring into one story their individual autoethnographies. This collective narrative takes the reader beyond the scholarly discussions of benefits and concerns about teaching award schemes prominent in the literature to date, to uncover a previously hidden view of award application writing. From this new viewpoint writing a teaching award application is seen as a process which moves the applicant from a position of certainty and comfort (‘homeliness’), through a period where ‘things fall apart’ as the applicant's sense of ‘unhomeliness’ (disorientation and confusion) increases, to a time where ‘things fall together’ as a newfound sense of ‘homeliness’ that represents growth in the individual as a teacher and a writer. Applicants develop a clearer understanding of their strengths and weaknesses as educators and the confidence to challenge their previous pedagogical practices. As writers they develop attitudes and skills to recognise and to set aside familiar, but limiting, writing strategies.     

The Doctoral Portfolio: Centerpiece of a Comprehensive System of Evaluation

The authors describe the process used to revise a traditional doctoral student evaluation system from one that consisted of written comprehensive and final oral examinations to one that features portfolio development. Student competence, expected student outcomes in each competency area, procedures for portfolio development, and documents and procedures for faculty review of the portfolios are described. Recommendations for implementing such a system and implications for counselor education programs are discussed.     

The effects of teacher discourse on students’ discourse,problem-solving and reasoning during cooperative learning

The study sought to determine if teachers who are taught specific communication skills designed to challenge students’ cognitive and metacognitive thinking during cooperative learning use more challenging and scaffolding behaviours to mediate students’ learning than teachers who implement cooperative learning or small-group work who have not been taught these skills. The study involved 51 teachers in three conditions (cooperative + communication conditions; cooperative condition, group-work condition) and two groups of students from each of the above teachers’ classes. The results show that the teachers in the cooperative + communication condition used significantly more challenging and scaffolding behaviours than teachers in the group-work condition but not more than the teachers in the cooperative condition. The study also showed that the children in the cooperative + communication condition provided significantly more elaborative and help-giving behaviours to group members than peers in the other two conditions and they obtained higher scores on the follow-up reasoning and problem-solving activities than their peers in the group-work condition.