arXiv subjects

Stefanie Zegowitz

Publications and source records attributed to Stefanie Zegowitz.

3 recordsLinked to original sources

arXiv2022

Evaluating the use of e-assessment in a first-year pure mathematics module

This article presents the findings of a case study which introduced online quizzes as a form of assessment in pure mathematics. Rather than being designed as an assessment of learning, these quizzes were designed to be an assessment for learning; they aimed to academically support students in their transition from A-Level mathematics to university-level pure mathematics by providing an extrinsic motivation to engage them with their learning material early on and to emphasise the small details within proofs, such as defining notation, which are not necessarily emphasised by written homework assignments. The results obtained during the two-year study using online quizzes show e-assessment to be a powerful complementary tool to traditional written homework assignments.

math.HO↗

arXiv2015

Closed orbits in quotient systems

We study the relationship between pairs of topological dynamical systems $ (X,T) $ and $ (X',T') $, where $ (X',T') $ is the quotient of $ (X,T) $ under the action of a finite group $ G $. We describe three phenomena concerning the behaviour of closed orbits in the quotient system, and the constraints given by these phenomena. We find upper and lower bounds for the extremal behaviour of closed orbits in the quotient system in terms of properties of $ G $ and show that any growth rate in between these bounds can be achieved.

math.DS↗

arXiv2014

Halving dynamical systems

The relationship between two dynamical systems, one of which is obtained from the other by forming the quotient by an action of an involution commuting with the dynamics, is studied. The constraints and the possible extent of freedom in the relationship between the growth of closed orbits in pairs of systems related in this way is explored.

math.DS↗