Abstract.We give a simple ODE for the conformai circles on a conformai manifold, which gives the curves together with a family of preferred parametrizations. These parametrizations endow each conformai circle with a projective structure. The equation splits into two pieces, one of which gives the conformai circles independent of any parameterization, and another which can be applied to any curve to generate explicitly the projective structure which it inherits from the ambient conformai structure [1].We discuss briefly the use of conformai circles to give preferred coordinates and metrics in the neighborhood of a point, and sketch the relationship with twistor theory in the case of dimension four.
Just-in-Time Teaching (JiTT) is a teaching and learning strategy based on the interaction between web-based study assignments and an active learner classroom. The essence of JiTT is the
feedback loop
formed by the students' preparation outside the classroom that shapes their in-class experience. The goal of JiTT is to use feedback to guide teaching and to empower and motivate learners. This paper describes a successful implementation of the JiTT strategy for an introductory computer science course.
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