Faculty of Education - Theses
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ItemDesigning and implementing an intervention program to improve under-achieving Year 8 students’ understanding of multiplicative thinking and assess associated gains in motivation and engagement( 2016)A fifteen-week intervention was carried out in order to examine the efficacy of the Scaffolding Numeracy in the Middle Years (SNMY) (Education Victoria, 2013b) instructional resources in improving the multiplicative thinking of eight under-achieving Year 8 students. The eight students participating in the intervention were contrasted against a similarly profiled control group of ten students. Participants were drawn from a co-educational high school on the lands of the People of the Kulin Nation in Northern Metropolitan Melbourne. Changes in students’ multiplicative thinking, as well as associated changes in motivation and engagement, were measured in pre- and post-intervention assessments. Multiplicative thinking was measured with the SNMY Assessment Booklets 1 and 2, with motivation and engagement examined by use of the High School Motivation and Engagement Scale (MES-HS) (Martin, 2003), also prior-to and following the intervention. These quantitative data sources were complemented with qualitative sources in the form of researcher’s notes and student work samples. Whilst analysis of quantitative data did not indicate significant changes in multiplicative thinking for either the intervention or the control groups, qualitative data sources indicated that students within the intervention group demonstrated modest gains in multiplicative thinking. No statistically significant changes to motivation and engagement were recorded for students in the control group, whereas those in the intervention group showed a significant decrease in both failure avoidance and anxiety, and a significant increase in disengagement between pre- and post-testing. Findings point to several barriers to achievement for mathematically under- achieving students in the middle years, as well as directions for the improvement of similar interventions in future.
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ItemUsing teacher capacity to measure improvement in key elements of teachers’ mathematical pedagogical content knowledge( 2016)School systems world-wide are investing increasing resources in assessment of students. The challenge is to gain value for teachers from this process. This study examined how we can use a construct of teacher capacity to identify improvements in teachers’ knowledge of Mathematics, their knowledge of the curriculum, their understanding of student’s mathematical thinking, and their ability to design and implement effective mathematics instruction as a result of using online diagnostic assessments (SMART tests- Specific Mathematical Assessments that Reveal Thinking.) Two principal challenges were addressed in this study: the first concerns how to translate a theoretical construct of teacher capacity in ways that truly reflect the professionally informed judgement and disposition to act. The second challenge was to design and use measures that would show improvement of teacher capacity over time as a result of using SMART tests. This study used innovative approaches involving teacher self-reports that were supported by evidence derived from a content specific questionnaire, related to the four elements of teacher capacity identified previously. The research study was carried out in the researcher’s school. 14 teachers used SMART tests over the course of one semester. All teachers showed improvement in teacher capacity as a result of implementing SMART tests, however improved teacher capacity was most evident amongst accomplished and expert teachers. The use of SMART tests also had a direct impact on teacher planning and informed classroom instruction. The study concludes with recommendations for future research in schools and in pre-service teacher education, utilising online diagnostic assessments of students. This study provides insight into what teacher capacity means in an educational setting, and how leaders in schools can effectively measure and improve teacher capacity in a school setting.