Numeracy across the curriculum: recognising and responding to the demands and numeracy opportunities inherent in secondary teaching

The 1998 Report of the National Standards and Guidelines for Initial Teacher Education Project, 'Preparing a Profession' illustrates the emphasis being placed in Australia on the development of numeracy skills amongst not only primary but also secondary school pupils. This report demands that graduates of all initial teacher training courses should not only be numerate themselves, but should also understand the contribution of numeracy to education and daily life, and be able to identify and respond to pupils' numeracy learning needs. This report and its implementation in Victoria through the 'Guidelines for the Evaluation of Teacher Education Courses' led to the introduction in 1999 of a compulsory unit 'Numeracy across the curriculum' for all Deakin University students in the final year of their secondary teacher training course. This paper discusses the nature of the current emphasis on numeracy. It also describes the rationale, development and delivery of the first year of the 'Numeracy across the curriculum' unit, provides a brief evaluation from the perspective of staff and students, and discusses what impact such teacher education programs might have on secondary schools' approaches to numeracy.

Examining the aesthetic dimensions of teaching : relationships between teacher knowledge, identity and passion

Having an appreciation for the subject, their students and what the subject can offer their students has both cognitive and emotional dimensions for teachers. This paper uses empirical data to explore the efficacy of a Deweyan inspired framework called “Aesthetic Understanding” to scrutinise relationships between teacher knowledge, identity and passion. The paper uses case study data of three teachers of maths and/or science generated from a video study to illustrate the relationships between the three elements of Aesthetic Understanding. The need to value the aesthetic dimensions of teaching when examining the subject-specific nature of secondary teaching is discussed.

Forces : teaching ideas with a representational focus

These teaching notes were generated from an Australian Research Council (ARC)
research project titled ‘The Role of Representation in Learning Science’ in which
the topic of Forces was taught to Year 7 students through the adoption of a representation construction approach. A description of several of the activities that were undertaken is given as well as examples of students’ work. Insights into the representation construction apporach that was adopted by the teachers are also provided.

Ideas about matter : teaching ideas with a representational focus

These teaching notes were generated from an Australian Research Council (ARC)
research project titled ‘The Role of Representation in Learning Science’ in which
the topic of Ideas about Matter was taught to Year 7 students through the adoption of a representation construction approach. A description of several of the activities that were undertaken is given as well as examples of students’ work. Insights into the representation construction approach that was adopted by the teachers are also provided.

Secondary students` perceptions of a constructivist-informed teaching and learning environment for geometric optics

This article describes an exploration of a class of secondary school students perceptions of a constructivist informed teaching and learning environment for geometric optics. The students perceived the environment as one where they could freely express their ideas and be involved in activities. What was also apparent in this exploration was the students' preference for a classroom that involved small group discussions to whole class discussions that reflected a need for time to think about issues. They also have a preference for relevant, practical work that tests their ideas and a preference to have fewer notes that they construct themselves rather than notes dictated by the teacher.

NT: Refereed article. Includes bibliographical references.

Using everyday experiences in teaching secondary mathematics in Malawi : possibilities and constraints for change

Proponents of socially and culturally oriented mathematics education have argued that teaching approaches which value and connect with the learner's prior knowledge and everyday experience are more likely to promote active, meaningful, relevant and liberatory learning than approaches which rely on transmission and abstract presentation of mathematical content. In Malawi, proposals to reform the outdated secondary mathematics curriculum have been made with the aim of aligning mathematics instruction with the social and political changes in the current Malawian society. Using a case study approach, this study investigated the extent to which everyday experiences could be used as a vehicle for changing the learning and teaching of secondary mathematics in Malawi. The study was collaborative, taking place over a period of five months in severely overcrowded and poorly resourced classes in two schools. It involved three mathematics teachers in a cycle of planning and teaching mathematics lessons based on the use of everyday experiences, and observation of and reflection on these lessons, in order to document the effects of using everyday experiences on student learning and teachers' teaching practices. The data was collected through student questionnaires; classroom observations and fieldnotes; interviews and reflective meetings with teachers; and informal meetings with key education officials in Malawi. Mathematics examination results from students involved in this study and a corresponding group from the previous year were collected. A reflective and critical approach was adopted in the interpretation and discussion of the data. Teachers' participation in this study resulted in heightened awareness of their teaching roles and the value of linking school mathematics with everyday experience. The study also shows that students found mathematics interesting and important to learn despite their lack of success in it. In addition, the study documented a number of constraints to change in mathematics instruction such as teachers' focus on mathematics content and examination requirements, and students' resistance to inquiry learning. It also recorded possibilities and barriers to collaboration both between teachers and researchers, and teachers themselves. The findings of this study are timely since they could serve to inform the reform of the Malawian secondary mathematics curriculum currently being undertaken, which began without a critical examination of the classroom conditions necessary to accommodate a socio-politically relevant mathematics education.

Team teaching and communicative language teaching in Japanese secondary schools

Explores team teaching and communicative language teaching in Japanese schools. The study's first phase uses the ethnographic approach of participant observation. The second phase uses eleven case study interviews to discover the teachers' conceptions of communicative language teaching. Identifies elements of team taught lessons and elucidates the conceptions of communicative language teaching held by a sample of teachers.

Book review : Teaching secondary school mathematics : research and practice for the 21st century

Book review of Teaching Secondary School Mathematics : Research and Practice for the 21st Century by Merrilyn Goos, Gloria Stillman & Colleen Vale

Teaching secondary school mathematics : research and practice for the 21st century

For the last decade or so, educational policy makers and researchers in many countries have been calling for significant changes to the way mathematics is taught in secondary schools. Australian mathematics curriculum documents now promote learning goals that go beyond mastery of a pre-determined body of knowledge and procedures - the traditional emphasis on facts, skills, formulae - to include mathematical reasoning and problem solving, communication, and real world applications. There is also pressure to move away from over-reliance on teacher-centred practices such as exposition and individual seatwork, towards activities that promote learners' involvement in constructing, applying, and evaluating mathematical ideas. Further impetus for reform comes from research recommending that if learners are to develop mathematically powerful forms of thinking and habits of mind, then classrooms should immerse them in the authentic practices of the discipline by supporting a culture of collaboration and sense-making. Teaching Secondary School Mathematics - incorporates recent developments in research and practice and applications to teaching mathematics in Australian secondary schools. Covering such areas as curriculum, pedagogy and assessment; teaching mathematical content; equity and diversity in the classroom; and professional and community engagement, it is an invaluable resource for all practising and pre-service mathematics teachers.