An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will r ....An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will rectify this situation by using representation theory to transform combinatorial group theory into linear algebra, allowing for the application of advanced methods of numeric approximation. This will provide a better understanding of how bacteria evolve and improve our ability to manage their impact.Read moreRead less
Providing the Mathematical Foundation for an Innovative Australia within Reform Based Learning Environments. The focus of this project is the pedagogical change that The Review of Teaching and Teacher Education indicates must take place in order to lay the quantitative foundations for advancing innovation, science, technology, and mathematics, while satisfying the requirements of a reform-based learning environment. Professional learning directed at teachers' pedagogical content knowledge and be ....Providing the Mathematical Foundation for an Innovative Australia within Reform Based Learning Environments. The focus of this project is the pedagogical change that The Review of Teaching and Teacher Education indicates must take place in order to lay the quantitative foundations for advancing innovation, science, technology, and mathematics, while satisfying the requirements of a reform-based learning environment. Professional learning directed at teachers' pedagogical content knowledge and belief structures with respect to mathematics within an environment of curricular change, will be evaluated in evidence-based terms related to teacher change and student outcomes. Significance includes the context, the middle school years in rural district schools, and the influence of technology on pedagogy.Read moreRead less
Supporting personalised learning in secondary schools through the use of specific mathematics assessments that reveal thinking. This project will improve numeracy standards in secondary schools, by assisting teachers to personalise the teaching of each student. Through detailed research, the project will develop sophisticated assessments that clearly reveal students' mathematical thinking. On-line diagnosis will suggest teaching activities that can bring about desired conceptual changes. The eff ....Supporting personalised learning in secondary schools through the use of specific mathematics assessments that reveal thinking. This project will improve numeracy standards in secondary schools, by assisting teachers to personalise the teaching of each student. Through detailed research, the project will develop sophisticated assessments that clearly reveal students' mathematical thinking. On-line diagnosis will suggest teaching activities that can bring about desired conceptual changes. The effectiveness of the resources will be thoroughly tested, for impact on student achievement and the mathematics teaching skills of teachers, especially those working out-of-field. Rural schools will have equal access to these resources. Good numeracy provides the foundation for life-long learning, employment satisfaction and the economic competitiveness of Australia.Read moreRead less
Special Research Initiatives - Grant ID: SR0354538
Funder
Australian Research Council
Funding Amount
$30,000.00
Summary
Enabling Sciences Education (EnSE) Research Network. The Network aims to ensure the long-term ability of Australians to excel in scientific and technological innovation at all levels of community activity. This will be achieved by establishing significant and ambitious research agendas for improving the teaching and learning of Mathematics, Science and Technology in primary, secondary and tertiary education sectors. Of significance will be the productive synergies flowing from uniting, across ....Enabling Sciences Education (EnSE) Research Network. The Network aims to ensure the long-term ability of Australians to excel in scientific and technological innovation at all levels of community activity. This will be achieved by establishing significant and ambitious research agendas for improving the teaching and learning of Mathematics, Science and Technology in primary, secondary and tertiary education sectors. Of significance will be the productive synergies flowing from uniting, across the three disciplines, Australia's most outstanding, experienced and dedicated researchers with new and mid-career colleagues. Expected outcomes include a diverse but cohesive and collaborative research community that provides international leadership in helping students achieve their full potential. Read moreRead less