Faculty of Education - Theses
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ItemThe Wesley College technology enriched graphing project( 1994)Graphics calculators are rapidly becoming more affordable to students of mathematics. In time, it can be expected these calculators will become as essential a tool for mathematics students as scientific calculators are now. This thesis investigates how best to use graphics calculators to improve student achievement and understanding of senior secondary graph-sketching topics. The Wesley College Technology Enriched Graphing Project was an experimental study which involved 180 Year 11 students (8 intact classes) over 15 lessons at two campuses of this large co-educational independent school. Two teaching programs were devised, which differed in the degree of teaching emphasis on issues of scaling and obtaining a complete picture of a graph. The effect of frequency of calculator use was also investigated with a 2 x 2 experimental design. Daily use of the calculator was found to lead to significantly more improvement on general graphing questions than less frequent use. The teaching emphasis on scaling led to significantly more improvement in students' ability to deal with potentially misleading questions where the finite view of a function provided by the calculator omitted important features. Students' attitudes to calculator use were very positive. In the light of these results it is recommended that schools move as quickly as possible to personal ownership of graphics calculators by students and that teaching programs emphasise scaling issues. This approach takes no more time than traditional teaching methods, but confronts student difficulties and leads to better understanding of functions.
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ItemPreparing a bank of mathematical problems for Year 11 students( 1990)The production of a problem bank for Year 11 mathematics students forms the content of this thesis. From an original collection of approximately 100 problems, 30 were chosen representing the areas of algebra, geometry and arithmetic. The RASCH method was used for calibrating the problems using partial credit scoring. There were 452 students in 37 Year 11 classes from 8 Victorian secondary schools that participated. Details of the selection, administration and use of the problems are discussed. Some of the difficulties such as finding problems at the appropriate level of difficulty, establishing a suitable classification for them, defining a marking scheme for their solution and the interpretation of the analysis of the scores are also given. The problem bank in its final form contains 23 problems, and could be used by Year 11 mathematics teachers for assessing students' progress in mathematical problem solving. For ease of use the problems are categorised by area of study and level of difficulty. The methodology involved in developing the problem bank, the processes of selecting and categorising problems and the analysis of student attempts to solve them would also be helpful for these teachers as they incorporate problem solving into their V.C.E. courses.
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ItemSome determinants of students' course selection in mathematics( 1984)In this study some determinants of students' course selection in mathematics. were investigated, with particular attention being given to those factors which may result in differential participation rates between boys and girls. The aim of the study was to assess the relative importance for student decisions of various psychological variables related to achievement attitudes. Such knowledge could then be used in the design of appropriate programs and techniques to increase the likelihood of students continuing to take maths. Questionnaires were administered to the 115 students in Year 9 and to the 107 students in Year 7 at a Melbourne inner-suburban .high school. Specific findings apply to those students in that particular school; without investigation of the effect of such variables as socioeconomic status, ethnic background., administrative structure, course-availability and class size they could not be extrapolated to other students in other schools. Students' estimates of their maths abilities and their expectations for maths performance, decreased with age, as did their perception of their parents' and teachers' beliefs about their ability and expectations for their success. Students' beliefs about the importance of success in maths and their declared interest in and liking'for the subject also decreased with age, while their estimates of the difficulty of maths increased with age. Year 9 boys had higher opinions of their maths ability and were more confident of success in future maths courses, than were Year 9 girls. These girls saw the subject as being more difficult and the cost of the effort required to do well to be higher than did their male classmates. At the Year 7 level, however, the only sex differences were in the stereotyping of the utility of maths for females and in the stereotyping of maths as a male domain. Plans to continue with maths were facilitated by high expectations, by firm beliefs in the value of maths and in one's own ability and by low estimates of the difficulty of maths. Sex differences favouring boys were found on these variables. On the basis of these findings, certain areas for intervention were identified. These areas included the encouragement of positive attitudes towards maths, the provision of career awareness programs, and the attempt to modify parents' and teachers' attitudes as to the maths, ability of girls and the importance of maths for them.