Melbourne Graduate School of Education - Theses

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    From the general to the particular : connecting international classroom research to four classrooms in Brunei Darussalam
    Shahrill, Masitah ( 2009)
    This doctoral research project set out to investigate whether large-scale international classroom studies have the capacity to connect with and offer insights into the classroom practices of individual teachers in Brunei Darussalam (hereafter, referred to as Brunei). In this study, the categorising scheme and results of the 1998-2000 Third International Mathematics and Science Video Study (TIMSS-99 Video Study) were used to examine the practices of four Grade 8 mathematics classrooms in Brunei. The practices documented in the four Brunei classrooms were then compared with the practices identified in the seven countries that participated in the TIMSS-99 Video Study. The comparative analyses were made possible by the application of the analytical codes of the TIMSS-99 Video Study to the Brunei video data. Adapting the Learner's Perspective Study (LPS) data collection methods (lesson sequences, interviews and an additional questionnaire) in combination with the analytical framework of the TIMSS-99 Video Study, generated a substantial body of detailed data about each of those four classrooms, sufficient to characterise the practices of those classrooms using the TIMSS-99 Video Study coding scheme and to support comparison with the TIMSS-99 Video Study findings. Connecting the generality of the TIMSS-99 Video Study findings to the specificity of the four classrooms studied in Brunei revealed both similarities and differences between the patterns of practice evident in the international and local data sets. In addition, the study addresses the question of how these similarities and differences might be used to inform classroom practice among the four Brunei teachers. Certain characteristics were common to the 20 Brunei lessons analysed: (i) The consistent shortness of the Brunei lessons (about 22 minutes), (ii) The consistent use by the Brunei teachers and their students of short spoken public utterances (typically less than five words); and, (iii) The relatively high "connectedness" of the Brunei mathematics lessons in comparison with those lessons analysed in the TIMSS-99 Video Study. One reading of my findings is that between-teacher variations problematise the usefulness of national typifications of practice. On the other hand, studies such as the TIMSS-99 Video Study can offer us salient dimensions of practice that alert us to characteristics of familiar classrooms that might otherwise go unnoticed.
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    A Further investigation of decimal misconceptions held by primary and secondary students
    Shahrill, Masitah ( 2005)
    This study investigates Australian students' thinking about decimals. A Decimal Comparison Test was used to diagnose thousands of Victorian primary and secondary students' misconceptions of decimal notation. Data from 1998 to 1999 were extracted (from a study funded by the Australian Research Council) and analysed. These data were analysed with the use of cross-sectional and longitudinal approaches. The cross-sectional approach adopted in this study focuses on the tests while the longitudinal approach focuses on the students. Analysis of students' decimal misconceptions was conducted at both the coarse level (4 behaviours) and fine level (12 ways of thinking). Firstly, the variability of the prevalence of expertise by class was investigated, as well as the various misconceptions. It was determined that there were large variations especially in the prevalence of expertise by class, in particular Grade 6 (anywhere between 5% and 95%). The second analysis involved tests that do not match any predicted pattern of correct and incorrect responses (referred to as unclass feeds). From the results, there were Grade 6 students who answered the test inconsistently and have a tendency towards choosing the decimal with the most digits as the largest number. Also, there were Grade 10 students who answered the test inconsistently and have a tendency towards choosing the decimal with the fewest digits as the largest number. The third analysis involved 122 students who completed their first test as experts but made more errors in their second test approximately 6 months later. The analysis of responses to individual test items indicated some of these students were consistent in using various incomplete algorithms to choose correctly on many of the decimal comparisons. However, when the incomplete algorithm failed to give a definite answer, they might guess or revert to a latent misconception.