Dr CHENG, Kell Hiu Fai    鄭曉暉 博士
Senior Lecturer II
Department of Mathematics and Information Technology
Contact
Phone
(852) 2948 7813
Email
khfcheng@eduhk.hk
Address
10 Lo Ping Road, Tai Po, New Territories, Hong Kong
Scopus ID
7402997804
Research Interests

Number Theory, Stochastic Calculus and Mathematics Education

External Appointments

Dr. Cheng serves as an advisor to the Po Leung Kuk Mathematics World Contest.

Dr. Cheng is a member of the organizing committee of the Hong Kong Mathematics Olympiad.

Dr. Cheng serves as an assessor for the HKEAA.

Personal Profile

Dr. Cheng joined the Institute in 2007 as a member of the Department of Mathematics, Science, Social Sciences and Technology. He is trained in Mathematics and works primarily on topics in Mathematics.

Research Interests

Number Theory, Stochastic Calculus and Mathematics Education

External Appointments

Dr. Cheng serves as an advisor to the Po Leung Kuk Mathematics World Contest.

Dr. Cheng is a member of the organizing committee of the Hong Kong Mathematics Olympiad.

Dr. Cheng serves as an assessor for the HKEAA.

Research Outputs

Journal Publications
Publication in refereed journal
CHENG, Kell Hiu Fai and LEUNG, Allen Yuk Lun (2014). A dynamic applet for the exploration of the concept of the limit of a sequence. International Journal of Mathematical Education in Science and Technology, Retrieved from http://dx.doi.org/10.1080/0020739X.2014.951007, 46, 187-204.
Cheng, K.H.F., Guy, R.K., Scheidler, R, and WIlliams, H.C. (2012). Classification and Symmetries of a Family of Continued Fractions with Bounded Period Length. Journal of the Australian Mathematical Society, 93 (1-2), 53-76.

Conference Papers
Refereed conference paper
Cheng, K.H.F., Ho, S.Y. and Leung, Y.L. (2011, June). Teaching the Rigorous Concept of Limit. Proceedings of the Hong Kong Mathematics Education Conference 2011, Hong Kong.

Projects

Mathematical Exploration and Modelling for Gifted Students in Hong Kong Primary School
Goal: To enhance the mathematical potential and ability of gifted primary students

Objectives:
• To consolidate and enhance understanding of existing mathematical knowledge
• To extend the scope of mathematical knowledge via exploration
• To have hands-on experience in mathematical modelling

Project Start Year: 2023, Principal Investigator(s): CHENG, Kell Hiu Fai
 
Mathematical Exploration and Modelling for Gifted Students in Hong Kong Junior Secondary Schools
This project aims to enhance the mathematical potential and ability of gifted students. It is a yearlong project in which students go through two stages of training: the first covers background Mathematics and IT and the second focuses on research/modelling project work. The objectives of the project are: 1. To consolidate and strengthen understanding of existing mathematical knowledge 2. To extend the scope of knowledge via exploration and research on advanced mathematical topics and mathematical modelling.
Project Start Year: 2022, Principal Investigator(s): CHENG, Kell Hiu Fai 鄭曉暉
 
Subgame-consistent Solutions for Asynchronous-horizon Cooperative Stochastic Differential Games
Cooperative games suggest the possibility of socially optimal and group efficient solutions to decision problems involving strategic action. In this project, we consider cooperative stochastic differential games with asynchronous planning horizons. It is the first time that this type of analysis is studied and it represents the development of a new paradigm in stochastic differential games.
Project Start Year: 2007, Principal Investigator(s): CHENG, Kell Hiu Fai 鄭曉暉