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Walking The Talk: Translation Of Mathematical Content Knowledge To Practice, Barbara Butterfield, Mohan Chinnappan Jan 2010

Walking The Talk: Translation Of Mathematical Content Knowledge To Practice, Barbara Butterfield, Mohan Chinnappan

Faculty of Education - Papers (Archive)

Recent debates on students’ learning outcomes in mathematics have shifted the focus to better understanding the types of knowledge that teachers need in order to support children. In the present study, we examined the quality of knowledge of a cohort of prospective teachers along the dimensions developed by Ball et al. (2008). We found support for the contention that beginning teachers tend to have built a body of content knowledge. However, that knowledge remains less germane to teaching children. Implications for translation of this knowledge for teaching are presented.


Some Mathematical Models Arising In Nano- And Bio-Technology, Yue Chan Jan 2010

Some Mathematical Models Arising In Nano- And Bio-Technology, Yue Chan

Faculty of Informatics - Papers (Archive)

In this thesis, three mechanical models arising from nanoscale and biological systems are investigated, namely the dynamics of various nanostructures, the axial buckling of carbon nanotubes and nanopeapods, and the worm-like chain model for stretched semi-flexible molecules and the utilization of such a model for investigating molecular stretching in the connective tissue extracellular matrix.