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 In Malawi, proposals to reform the outdated secondary mathematics curriculum have been made with the aim of aligning mathematics instruction with the social and political changes in the current Malawian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

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.

Emagining change : English teachers and technology

This textually playful study focuses on gaining a deeper understanding of teacher beliefs about English and the influence of Information Communication Technologies (ICTs). Because English is in transformation, these insights into teachers' perpectives of their subject, technology and change will contribute to the productive rethinking of the profession. It employs narrative research, diaglogics and Actor Network Theory techniques.

Turning the pages : adolescents, schools and reading

This study focuses on adolescents and reading. My premise is that adolescents develop a reading identity which is influenced by an existent reading culture to which they are exposed. This existent reading culture can be influenced in particular by schooling, family and the opinions of peers. One major influence is the classroom. Within the English curriculum, what criteria do English teachers use for selection of set texts and are there differences in criteria in all-boy/all girl and co-educational schools? I reflected on the prevailing perceptions that relate to gender, masculinity and popular culture which can affect what it means to be a boy, literate, and a reader of fictional texts. My first folio piece examines adolescents’ reading within five secondary schools, including an all-boy school, to ascertain whether boys in single-sex schools read more fictional texts and whether they enjoy reading more than their counterparts in co-educational schools. Authors are frequently invited to visit schools and work with students. My second folio piece investigates author visits in five secondary schools, from the perspectives of English teachers, teacher librarians and cohorts of middle school students. I wanted to find out why schools ask authors to visit and what are the expected outcomes of these visits, particularly in regard to adolescent reading identities. The third folio piece examines authors’ narratives concerning school visits. Authors have certain expectations when working with students and talking about their writing. I wanted to discover how authors think they can provide maximum impact on students through their visits, by asking a cohort of authors to recount their ‘dream school’ visits and ‘nightmare school’ visits. Interpretations of the research about boys and reading, and author visits from the schools’ perspectives are analysed using a form of content analysis. The third research project concerning authors’ narratives is interpreted using lexical networks. Prominent elements of my study explore adolescent reader identities through the influences of schooling and through author visits. In the conclusion of this study, these elements are drawn together and broad recommendations are outlined that pertain to the encouragement of positive adolescent reading identities.

Investigation into the skill levels achieved by mathematics students in the V.C.E. and the H.S.C. mathematics courses

This study examines whether recent changes to the mathematics courses offered in the final year of secondary school (Year 12) in the state of Victoria, Australia have affected the learning outcomes of students in terms of then: skill levels in algebra, calculus and problem solving; and in terms of their preparation for a tertiary mathematics unit. The impact of these changes on the transition from secondary to tertiary mathematics is also considered. A comparison is made between students who attempted a first year mathematics unit at the University of Melbourne (U. of M.) having completed the new V.C.E. (Victorian Certificate of Education) mathematics courses and mathematics courses from the previous H.S.C. (Higher School Certificate) system. The comparison involves the use of tests administered upon entrance to a tertiary mathematics unit at the U. of M., and questionnaires. In 1991, V.C.E, students and H.S.C. students attempted the same mathematics test at the U. of M. and their results were compared. In 1992, the tests were attempted by V.C.E. students only. To compare new V.C.E. students and H.S.C. students, questions on the 1991 test were matched with similar questions on the 1992 tests and a panel of experts determined what the H.S.C. students who attempted the 1991 test would have been expected to average on these matched questions on the 1992 tests had they attempted them. These expected average scores were then compared with the actual scores of the new V.C.E. students. The scores of the groups were scaled when necessary. Questionnaires were administered to 1991 U. of M, mathematics students who were part of the V.C.E. pilot group in 1990, secondary mathematics educators, tertiary mathematics educators, and 1991 V.C.E. (1992 U. of M.) students. The mathematical misconceptions exhibited by new V.C.E. students are discussed and their frequencies stated. The research indicates that the new V.C.E. mathematics courses have provided the V.C.E. mathematics students in this study with significantly lower skill levels and a significantly poorer preparation for a tertiary mathematics unit than those which were previously provided by the H.S.C. mathematics courses.

Improving English language teaching in Thailand

The teaching of English in Thailand is a matter of national concern. The national government believes that the ability of Thai people to use English for effective communication is very important for the continuing economic development of Thailand. However many students who have had primary, secondary and university exposure to English find it difficult to conduct a conversation with a native speaker of English. The reasons for this include lack of student motivation and contextual support, large classes, the dominating effects of assessment on what is taught, and the English language competency of the teachers. The research in this thesis focuses on the teaching of English as a foreign language in secondary schools in Khon Kaen. The research reported here consists of one major and three minor studies. In the major study some of the principles of action research were used to explore strategies that would improve the teaching of English in a number of secondary schools in Khon Kaen in Thailand. In the first phase of the major study I worked with two teachers to design and implement a series of classroom activities that encouraged lower secondary students to use English. In the second phase I worked with a group of teachers to design and deliver a professional development program for twenty school teachers interested in improving their English language teaching. In the third phase I used data from the first two phases to design five new activities that were used in classrooms by two teachers. Findings from the three phases indicated that working collaboratively with school teachers can be a mutually beneficial professional experience and can improve student interest and learning. In the first minor study I used interview-conversations to investigate the perceptions that subject co-ordinators and teachers have towards English language teaching. The conversations covered the merits of detailed curricula and curricula frameworks, professional development, assessment, resources, and integration of English language with other subjects. It was clear that the teachers were aware of the national government s policies for the improving English language teaching and accepted the need for change. It was equally clear that the preparation of teachers and the resources available were major limiting factors in schools to teacher effectiveness. In the second minor study I examined the teaching of Mandarin in an Australian school that suffered from some of the same resource problems as Thai schools. Although there was only one teacher available for all of the Mandarin classes in the school she was extremely effective. Her teaching was an example of best practice. It included thorough preparation, the ability to manage lessons at the pace of the learners, active classes and individual attention, detailed assessment records, and the integration of language and culture. Some or all of these could be used in Thai schools. The third minor study was an investigation of the professional development experiences of English language teachers in Thai schools. In most schools there are consultative and administrative mechanisms, acceptable to principals and teachers, in place to support professional development. Access to native speakers was seen as very important. However, the schools in Khon Kaen province have little or no access to native speakers of English. Even if they were available, the schools do not have the funds to employ them. Findings from the four studies indicate that it is quite possible to use interactive, participatory or student-centred pedagogies to teach English as a foreign language in Thai classrooms. However, one cannot expect teachers to adopt such pedagogies unless they are convinced of their value. This can be achieved most effectively through a systematic and sustained program of professional development.

Culture clash : artistic production and the school environment

Artists-in-schools programs involving contemporary art practices can be transformational for the participants when environmental considerations are integral to the planning and structure of the project and both the form and content of the program are reflected upon critically.

An evaluation of the Victorian Certificate of Education common study of English

This paper traces the development of the Victorian Certificate of Education and in particular the common English Field of Study demonstrating that the VCE is the culmination of many forces acting both within and from outside education. Changes in education are traced and the stimuli for these changes are shown to be economic, social, political and educational.

Secondary students

Results indicated: Literacy programs provided optimal learning environments for access, participation and outcomes, reconnecting marginalised students to education; students were able to determine their preferred reading methods and educational pathways; students could negotiate work requirements, learned to be optimistic through creative pedagogies and built solid relationships through improved social skills.