Browsing by Author "Schott, Sarah"
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Item Open Access An Examination of Factors that Support Sustainable Cultural and Curricular Change in STEM Teaching and Learning(Journal of Mathematics and Science: Collaborative Explorations, 2022) Schott, Sarah; Slate Young, Erica; Bookman, Jack; Hash, PeachesUsing a mixed-methods design, this body of work from the SUMMIT-P consortium explores possible effective conditions for the sustainable reform of STEM teaching and learning at the collegiate level. A model of catalysts for successful and sustainable change is proposed, based on five years of data collection and observations. These catalysts include institutional support, intrinsic and extrinsic motivation of faculty involved, measures of student success, institution size, prior faculty experience, faculty buy-in, and institutional culture. The discussion ends with a delve into the potential broader impacts of this work. For example, this model may help institutions better understand how to implement curricular change more effectively.Item Open Access TPA: A New Method for Approximate Counting(2012) Schott, SarahMany high dimensional integrals can be reduced to the problem of finding the relative measure of two sets. Often one set will be exponentially larger than the other. A standard method of dealing with this problem is to interpolate between the sets with a series of nested sets where neighboring nested sets have relative measures bounded above by a constant. Choosing these sets can be very difficult in practice. Here a new approach that creates a randomly drawn sequence of such sets is presented. This procedure gives faster approximation algorithms and a well-balanced set of nested sets that are essential to building effective tempering and annealing algorithms.