Asymptotic Behavior and Anomalous Dissipation of a General Class of Forced Active Scalar Equations
Principal Investigator:
Dr SUEN, Chun Kit Anthony
This is a RGC funded project through the General Research Fund (GRF) with the amount of HK$598,015. The present project studies an abstract class of forced active scalar equations with emphasis on well-posedness, long time behaviour and anomalous dissipation, which arises in a variety of physical models including the magneto-geostrophic equation, incompressible porous media Brinkman equation and surface quasi-geostrophic equation.
More about the project Preparation for Post Pandemic Society: Providing Technology-Supported Adaptive Scaffoldings for Students with Mathematics Learning Difficulties in Hong Kong Primary Schools
Principal Investigator:
Dr SUN Daner
In this proposal, the research team describes the background information of the proposed project, articulate the literature and rationale of the system development, as well as how this project will operate methodologically. Specifically, the project introduces an interactive learning environment, namely, ScaffoldiaMyMaths with features of adaptive scaffoldings for mathematics problem solving and responsive assessment in the form of learning analytics. To explore the impact of ScaffoldiaMyMaths, experimental research together with the pedagogical design of learning activities, will be conducted involving Grade 4, 5 and 6 primary students in Hong Kong. The statistical data analysis will be conducted on students’ mathematics achievement tests, self-concept and motivation pre and post-tests for exposing the impact of scaffolding changes and scaffolding logic and the interaction between them on changes in student learning performance. The beneficial impact of ScaffoldiaMyMaths on students with maths learning difficulties (MLD) and typical achievers will also be compared to expose the factors related to student performance. Finally, the team proposes a set of learning packages together with a theoretical framework of how integrating technology in maths education will be delivered, for schools to better adapt this system. The proposed project will be a positive and timely response to the sudden circumstances now and in the near future at Hong Kong schools. It will be a reasonable fit for the advocacy of the Whole School Approach to Integrated Education in Hong Kong, facilitating ordinary schools in providing an equal educational service to students with learning difficulties, and improve the coordination of policies and research to maximize the possibilities generated by various research initiatives.