Language and learning : an introduction for teaching

This revised and updated edition provides a practical and readable explanation of how language can be understood and significant implications for classroom and teaching practices.

Variables influencing the mathematics performance of first-year tertiary students : a case study

The need to understand which factors most strongly affect performance in first-year mathematics programs at Khon Kaen University (KKU), in North Eastern Thailand, provided the main focus of the study which is described. First-year mathematics students in the 1990-1991 academic year, from four KKU faculty groups (Medicine and Nursing, Agriculture, Science and Education, and Engineering) were involved in this study. Research literatures addressing variables which were likely to influence performance in early tertiary mathematical study, and variables associated with difficulties in learning mathematics at the transition from upper secondary school to tertiary studies, were reviewed. The first major aim of the study was to identify the variables which were good predictors of first-year mathematics performance at KKU. Results from stepwise multiple regression analyses indicated that the following predictor variables were statistically significant and entered the regression equations for most Faculty groups: School Mathematics Achievement, Self-Esteem, Study Habits in Mathematics, and Faculty of Study. Other predictor variables that sometimes entered regression equations (depending on the Faculty group) were Socio-Economic-Status, Mathematics Language Competence, Mathematics Confidence, Attitude Towards Mathematics, and Gender. Depending on Faculty group, the statistically significant variables accounted for between 11% and 74% of scores on fist-year KKU mathematics examinations. The predictor variables contributed much more to the variance of scores on first-semester mathematics examinations than to the variance of scores on second-semester mathematics examinations. It was also found that scores on the Direct Entry Examination Mathematics test (administered by KKU) and the School Mathematics Achievement test (developed and administered by the author) had stronger correlations with first-year KKU mathematics performance than did scores on the National Entry Examination Mathematics tests (administered by the Thai Ministry of University Affairs). Scores on the three pre-university mathematics achievement test instruments were better predictors of first-semester mathematics performance than of second-semester mathematics performance. It was found that the mean Mathematics Confidence of male students was statistically significantly higher than that of female students, but there were no statistically significant gender differences in Mathematics Misplaced Confidence. Only about 30% of the main sample ( 30% of the male and 30% of the female sample groups) had appropriate confidence in mathematics, that is, they thought their answers were correct when they were, in fact, correct, and they thought they were wrong when they were, in fact, incorrect. So far as Faculty performance differences were concerned, Engineering students had the highest Mathematics Confidence scores, followed by the Medicine and Nursing group of students and the Science and Education group students. Agriculture students had the lowest mean Mathematics Confidence score. No statistically significant differences occurred in Mathematics Misplaced Confidence between different Faculty groups. The second main aim of the study was to investigate why many first-year students experienced difficulties in coping with their mathematics units. A small group of senior secondary mathematics teachers, university mathematics lecturers, and first-year mathematics students were interviewed during the first semester of the 1990-1991 academic year. Interviews were conducted by the author according to a questionnaire format, and were aimed at identifying factors causing difficulty in the transition from senior secondary to university mathematical study. The analysis of the quantitative data together with the interview data indicated that the major sources of difficulty were associated with: (a) students' mathematical abilities; (b) curriculum content; (c) course organisation; (d) students' study habits; (e) instructional styles; and (f) assessment procedures. The results of the investigation are discussed in the light of the relevant literature and related research. The study concludes with recommendations which are addressed to mathematics teachers and education administrators in senior secondary schools in Thailand, to the Thai Ministry of Education, and to the KKU Department of Mathematics.

Improving primary school health education through action research : a case study

Limited research has been conducted concerning the actual practice of health education in Victorian schools. This study investigates the health education curriculum at a large primary school in the south-eastern suburbs of Melbourne. The investigation involves a critical analysis of current practices in health education in the upper school through the development of a ‘small’ action research group. Data were gathered through document collection, questionnaires, interviews, discussions, diary and reflective journal entries. The action research group, consisting of the teacher-researcher and upper school teachers, developed, implemented and reflected upon units of work piloted with upper school students. Alternative approaches to health education were explored. The aim was to accommodate critically informed discourse amongst colleagues to promote self-reflective enquiry and facilitate improvements to existing pedagogic practices. During the course of the investigation, factors limiting and facilitating action research and curriculum change in health education, became evident. These included personal, practical, curriculum and organisational constraints operating externally and internally on the school and classroom environments. Despite these constraints, it was demonstrated in this study, that action research can contribute to the improvement of pedagogic practices in health education. Small ‘authentic’ action research projects may provide alternative internal professional development structures for teachers and consequently improve learning opportunities for students.

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.

Effectiveness of recording in primary science : a study of the ability of junior primary school pupils to use drawing as an effective method of communication in science lessons

Drawing as a means of recording is a very common practice in junior primary science lessons. This is largely due to the availability of necessary materials. Also, most youg children have some degree of drawing skill and enjoy drawing activities. Since 1956 the science curriculum to be implemented in primary classrooms in Victoria has changed from one that was based largely on nature study (biological) to one that includes physical and technological aspects. Further, there have been changes in the teaching methodologies advocated for use in science lessons. A modified Interactive Teaching Approach was used for the studies. Drawing was the main means by which the children recorded information. The topic of 'shells' was used to enable collection of data about the children's enjoyment of the activity and satisfaction with their achievement. This study was replicated using the topic 'rocks'; again data were collected concerning satisfaction and enjoyment. During a series of lessons on 'snails' data were collected concerning the achievement of 'process' and 'objective' purposes that teachers might have in mind when setting a drawing activity. In addition to providing data about purposes the study stimulated some questions regarding the techniques the children had used in their drawings. Accordingly, data concerning the use of graphic techniques by the children were collected during a series of lessons on 'oils'. The data collected and analysed in the various studies highlighted the value of drawing in junior primary school science lessons. It also validated strategies developed by the author and designed to help teachers and children use drawing effectively in science activities.

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.

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.

Primary teacher beliefs and practices in working and thinking scientifically and technologically

What are primary teachers' beliefs about thinking and working scientifically and technologically? How do the teachers' beliefs manifest in classroom practice? What differences do the teachers see between thinking and working scientifically and technologically? These questions were central themes of the case study research. Interviews and classroom observation were the techniques used to identify how three experienced primary teachers' beliefs about thinking and working technologically and scientifically were manifested in their classroom practice.

Subject cultures and pedagogy : comparing mathematics and science

This research found that a teacher is both a member of a culture and an individual, building practice within parameters set by a dynamic and multifaceted subject culture. Feelings of competence and confidence grow as an aesthetic understanding of what it means to know, teach, and appreciate a subject.

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.

Treatise on mathematics and astronomy: written about the year 1680, in Boston

Bound volume containing a late 17th century handwritten mathematical and astronomical text in one hand. The text is separated into mathematical and astronomical sections with rules, instructions for performing calculations, tables, and drawings. The subjects include arithmetic, geometry, astronomy, and trigonometry, and segments have titles such as "Subtraction," "A decimal table of English coince," "Logarithes & their use," and "To find the true place of the sun." The text is undated and unattributed but references Briggs, Oughtred, Ramus, and Apollonius. Certain tables are calculated from latitudinal and longitudinal numbers associated with Boston, and many of the examples use dates in the 1670s and 1680. The manuscript pages are mounted onto unruled pages, and some of the manuscript pages are fragments.