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 In Malawi, proposals to reform the outdated secondary mathematics curriculum have been made with the aim of aligning mathematics instruction with the social and political changes in the current Malawian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.

Gender and genre : a case study of a girl and a boy learning to write

This study addresses questions of gender and genre in early writing by drawing on systemic linguistic theory, It is a longitudinal case study that compares the writing development of two children, a boy and a girl/ who learned to write in classrooms that adopted an approach to writing known in Australia as 'process writing1, The children's written texts were analysed using the systemic functional grammar as developed by MAK, Hallidey and the models of genre and register as proposed by J,R, Martin. The children were followed for the first two and a half years of their schooling, from the first day of kindergarten to the middle of grade two. They were observed weekly during the daily ‘writing time’ and all texts were collected. Although the children were ostensibly 'free’ to determine both the writing topics and text types they produced, systemic analysis revealed that: 1) the majority of texts written were of one genre, the Observation genre, in which the children reconstructed their personal experience with family and friends and offered an evaluation of it. 2) a significant pattern of gender differences occurred within this genre, such that the boy reconstructed experience in terms of the male cultural stereotype of being an active participant in the world, while the girl reconstructed experience in terms of the female stereotype of being a more passive observer of experience. It is the strength of systemic linguistic analysis that it revealed how the choices the children made in language were constrained by a number of social and cultural contexts, including: a) the teacher's theoretical orientation to literacy; b) the models of spoken and written language available to the children; and c) the ideology of gender in the culture. In particular, the analysis made visible how children appropriate the meanings of their culture and socialise themselves into gender roles by constructing the ideology of gender in their writing. The study contributes to an understanding of genres by offering a revised description of the Observation genre, which derives from the Observation Comment genre originally identified by Martin and Rothery (1981). It also raises a number of implications for teacher training and classroom practice, including the need for: 1) increased teacher consciousness about gender and genre, especially an understanding that choices in language are socially constructed 2) a critical reassessment of the notion of 'free topic choice’ promoted by 'process writing' pedagogy, a practice which may limit choice and tacitly support the gender status quo.

Development and evaluation of a glass-box interpreter for teaching novice programmers

This study evaluates the efficacy of a low-level program visualisation tool as a learning aid for novice programmers and develops and evaluates features which might further enhance the benefit of a low-level program visualisation tool (called Bradman). Bradman is an interpreter which makes visible aspects of the programming process which are normally hidden from the user.

Transition of understandings in science and SOSE : a case study

The newly developed Curriculum Standards Framework lacked supporting school documentation to implement an effective program in Science and SOSE. The task was to create it, together with the knowledge and understandings that were required to apply it. The thesis demonstrates the difficulties faced in actively pursuing curriculum change in a primary school.

A phenomenological study of the lived experiences of registered nurses seconded to perform clinical teaching

This phenomenological study explores the clinical teaching experiences of registered nurses seconded from a large metropolitan hospital. The study is based on a conceptual framework encompassing the notion of role, learning and teaching.

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.

Teaching Thai language and culture abroad

Drawing on some principles of action research a systematic curriculum was developed for the Buddhapadipa temple school in London. Data was collected using interview-conversations, reflective episodes, classroom observations. The research was supported by four smaller studies investigating specific aspects of curriculum, language, culture and national identity.

Forearm blood flow in individuals with CHF and age-matched healthy volunteers : a study and historical review

This study examined forearm blood flow (FBF) in individuals with chronic heart failure (CHF) at rest, moderate exercise, and following limb occlusion. FBF was measured by venous occlusion plethysmography in CHF patients (n = 43) and healthy age-matched volunteers (n = 8) at rest and during exercise consisting of intermittent isometric hand squeezing at 15, 30, and 45% of maximum voluntary contraction (MVC). Peak vasodilatory capacity was also determined following the release of an occluding arm cuff. FBF was lower in CHF patients during exercise and during peak reactive hyperemia (PRH) compared to healthy volunteers, but there was no significant difference between groups at rest. Peak vasodilatory capacity was significantly higher in healthy volunteers than the CHF group ((30.6 ± 8.6 ml±100 mL^-1±min^-1 and 18.3 ± 6.9 ml±100 mL^-1±min^-1, respectively). Local blood flow stimulation in response to exercise or limb occlusion is reduced in individuals with CHF, however, there was no difference in resting flows between the two groups, suggesting vasodilatory medication may restore resting blood flow to healthy values.

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.

Growth of pre-service teachers’ knowledge and teaching ideas about decimals and fractions : The case of Vivi

This paper discussed and analysed the growth of one pre-service teachers’ knowledge about decimals and fractions during a teaching experiment. Evidence of her progress is based on responses to written test and interview questions. This case shows with probing questions and appropriate teaching ideas, it is possible for a pre-service teacher with initially weak and fragmented knowledge about decimals and fractions to develop a meaningful knowledge about decimals and fractions. The stronger conceptual base provided by use of a concrete representation of decimals enabled Vivi to move away from reliance on memorised facts and rules and towards conceptually based explanations of ideas.

Material world: learning and teaching chemistry

 In the Australian National Curriculum, the science understanding of overarching ideas of matter and energy covers science topics in the conceptual area of chemistry, such as the properties, forms and uses of different materials, the states of matter (solid, liquid and gas), and energy, such as forces, movement and electricity. This chapter focusses on explaining the abstract science ideas related to matter and energy through the use of appropriate vocabulary, examining ways of organising knowledge and linking scientific models and theories to observations and experiences. The particle model of matter is used to explain common observations, demonstrating the value of scientific inquiry and the role of models and representations in scientific thinking. A directed inquiry teaching approach in which there is a focus on the use of representations is recommended for these abstract topics. Representations are a vital component of communicating the abstract ideas of matter and energy. The use of the pedagogical approach in which students construct and evaluate representations of scientific ideas is used in the negotiation and development of their understandings.