Dr CHEUNG, Ka Luen    張家麟 博士
Senior Lecturer I
Department of Mathematics and Information Technology
Contact
ORCiD
0000-0003-4107-7840
Phone
(852) 2948 7816
Email
kaluen@eduhk.hk
Address
10 Lo Ping Road, Tai Po, New Territories, Hong Kong
Scopus ID
36674539600
Research Interests
Partial Differential Equations, Geometric Thinking, Inquiry Based Learning in Mathematics and STEM Education
External Appointments

Member of the Competition of Yau High School Math(Asia) Panel (2015)

Member of the Executive Committee of the Hang Lung Mathematics Awards jointly organized by the Hang Lung Properties Ltd.and the Department of Mathematics and IMS, CUHK (2005 - 2020)

Member of the Mathematmics Working Group of the The Hong Kong Academy for Gifted Education (2014 - present)

Adjudicator for the Student Biennial Conference of the The Hong Kong Academy for Gifted Education (2013 - present)

Member of the Curriculum Development Council (香港課程發展議會)Committee on Mathematics Education (2009 - 2015)

Adjudicator of Essay and Comics competition, Mathematical Database HK and the HKAGE (2006 - 2012)

Organizing Committee of the Hong Kong Mathematics Olympiad jointly orgainized by the EDB and the HKIEd (2006 - 2009)


Personal Profile

Dr. Cheung teaches undergraduate and postgraduate classes in mathematics and mathematics education at the EDUHK. He is interested in Partial Differential Equations, Inquiry Based Learning in Mathematics and STEAM education.

Research Interests

Partial Differential Equations, Geometric Thinking, Inquiry Based Learning in Mathematics and STEM Education
External Appointments

Member of the Competition of Yau High School Math(Asia) Panel (2015)

Member of the Executive Committee of the Hang Lung Mathematics Awards jointly organized by the Hang Lung Properties Ltd.and the Department of Mathematics and IMS, CUHK (2005 - 2020)

Member of the Mathematmics Working Group of the The Hong Kong Academy for Gifted Education (2014 - present)

Adjudicator for the Student Biennial Conference of the The Hong Kong Academy for Gifted Education (2013 - present)

Member of the Curriculum Development Council (香港課程發展議會)Committee on Mathematics Education (2009 - 2015)

Adjudicator of Essay and Comics competition, Mathematical Database HK and the HKAGE (2006 - 2012)

Organizing Committee of the Hong Kong Mathematics Olympiad jointly orgainized by the EDB and the HKIEd (2006 - 2009)


Research Outputs

Scholarly Books, Monographs and Chapters
Research book or monograph (author)
張家麟、黃毅英 (2011)。 《從「微積分簡介」看數學觀與數學教學觀》。香港: 教育局 - 課程發展處數學教育組。
Chapter in an edited book (author)
Dai, Q. & Cheung, K. L. (2015). The Wisdom of Traditional Mathematical Teaching in China.. L. Fan, N.Y. Wong, J. Cai., & S. Li (Eds.), How Chinese teach mathematics: Perspectives from insiders. (3-42). Singapore: World Scientific..
Cheung, K.L. (2011). Axiomatic Systems. Sarah J. Greenwald & Jill E. Thomley, The Encyclopedia of Mathematics and Society (84-85). CA: Salem Press.
Cheung, K.L. (2011). Conic Sections. Sarah J. Greenwald & Jill E. Thomley, The Encyclopedia of Mathematics and Society (235-238). CA: Salem Press.
張家麟、關樹培 (2010)。 從KC 七面體到CK 八面體。江紹祥、梁志強, 《數學教育的探究學習討論會論文集(一) 》 (26-41)。香港: 教育局 - 課程發展處數學教育組。
Textbook (author)
張家麟、黃毅英、韓藝詩 (2009)。 《漫談數學學與教— 新高中數學課程必修部分》。香港: 教育局 - 課程發展處數學教育組。
韓藝詩、黃毅英、張家麟 (2009)。 《漫談數學學與教 — 新高中數學課程延伸部分(單元一)》。香港: 教育局 - 課程發展處數學教育組。
黃毅英、張家麟、韓藝詩 (2009)。 《漫談數學學與教 — 新高中數學課程延伸部分(單元二)》。香港: 教育局 - 課程發展處數學教育組。
Edited book (editor)
黃毅英 (主編)、張僑平 (副主編)、蔡勁航、黃麗珍、謝明初、張家麟、陳鎮民、蘇洪雨和許世紅 (2012)。 《數學教師不怕給學生難倒了!——中小學數學教師所需的數學知識》。武漢: 華中師範大學出版社。繁體版(2013)香港:課程發展處數學教育組。
Wong, N. Y., Zhang, Q. P., Xu, S. H., Chen, Z. M., Cheung, K. L., Wong, L. C., Xie, M. C., Su, H. Y., & Choi, K. H. (2012). Mathematics teachers are not afraid of students’ question: What mathematics teacher need to know (In Chinese). Wuhan, P.R. China: Central China Normal University.

Journal Publications
Publication in refereed journal
Tat-Leung Yee, Ka Luen Cheung, Kwok-Pun Ho & Chun Kit Suen (2024). Spherical maximal function on local Morrey spaces with variable exponents. Vietnam Journal of Mathematics, 52, 107-115. https://doi.org/10.1007/s10013-022-00563-6
Lo, C. K., Cheung, K. L., Chen, H. R., & Chau, C. L. E. (2023). Developing flipped learning resources to support secondary school mathematics teaching during the COVID-19 pandemic. Interactive Learning Environments, 31(8), 4787–4805. https://doi.org/10.1080/10494820.2021.1981397
Cheung, K. L., & Wong, S. (2023). On classical solutions of the compressible Euler equations for generalized Chaplygin gas with qualitative analysis. Vietnam Journal of Mathematics https://doi.org/10.1007/s10013-023-00651-1
Cheung, K. L., Wong, S., & Yee, T. L. (2023). Long-time behaviours of classical solutions to relativistic Euler–Poisson equations. Zeitschrift fur Angewandte Mathematik und Physik, 74(5) https://doi.org/10.1007/s00033-023-02070-1
Cheung, K.L., & Wong, S. (2022). Long-time behaviour of classical solutions to the relativistic Euler equations with logarithmic equation of state. Zeitschrift für angewandte Mathematik und Physik, 73 https://doi.org/10.1007/s00033-022-01891-w
Lo, C. K., Huang, X., & Cheung, K. L. (2022). Toward a design framework for mathematical modeling activities: An analysis of official exemplars in Hong Kong mathematics education. Sustainability, 14(15) https://doi.org/10.3390/su14159757
Cheung, K.L. (2022). Surviving time estimates of local classical solutions to compressible Euler equations with logarithmic equation of state. Journal of Mathematical Analysis and Applications, 515(1) https://doi.org/10.1016/j.jmaa.2022.126458
T.L. Yee, K.L. Cheung, K.-P. Ho (2022). Integral operators on local Orlicz-Morrey spaces. Filomat, 36, 1231-1243.
K.L. Cheung, K.-P. Ho and T.L. Yee (2021). Boundedness of fractional integral operators on Hardy-amalgam spaces. Journal of Function spaces, 2021
Cheung, K. L. & Wong, S. (2021). Finite-time singularity formation for C^1 solutions to the compressible Euler equations with time-dependent damping. Applicable Analysis, 100, 1774-1785.
Yeung, C. H., & Cheung K. L., & Lin X. Y. (2021). Using the Flipped Classroom Model for Student Pre-laboratory Preparation in a Science Course: An Action Research Study. Ubiquitous Learning: An International Journal, 14, 1.
Cheung, K.L. (2021). Global existence of the three‐dimensional compressible Euler equations for generalized Chaplygin gas with damping. Mathematical Methods in the Applied Sciences, 44(2), 1176-1184.
Wan, S. L. Y., Cheung, K. L., & Lin, X. Y. (2020). Hong Kong students’ perceptions of the flipped classroom in an advanced psychology course: A case study. Journal on Excellence in College Teaching, 31(4), 109-129.
Cheung, K.L. & Wong, S. (2020). On finite-time blowup mechanism of irrotational compressible Euler equations with time-dependent damping. Applicable Analysis, Online Publication, 1-15.
Cheung, K.L. & Wong, S. (2020). The Lifespan of Classical Solutions to the (Damped) Compressible Euler Equations. Bulletin of the Malaysian Mathematical Sciences Society, Online Publication, 1-13.
Yee, Tat-Leung, Cheung, Ka Luen, Ho, Kwok-Pun & Suen, Chun Kit (2020). Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents. Mathematical Inequalities & Applications, 23(4), 1509-1528.
Cheung, K.L. & Wong, S. (2020). Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations. Journal of Mathematical Analysis and Applications, 489, 1-14.
Cheung, K. L. & Wong, S. (2020). Finite-time singularity formation for the original multidimensional compressible Euler equations for generalized Chaplygin gas. Zeitschrift für angewandte Mathematik und Physik, 71:62, 1-15.
Cheung, K. L. (2020). New weighted functional for non-existence of global solutions to the non-isentropic compressible Euler equations (https://doi.org/10.1016/j.euromechflu.2019.11.008). The European Journal of Mechanics - B/Fluids, 80(2020), 26-31.
Cheung, K.L.& Yang, D.C. (2020). Performance of sixth graders in Hong Kong on a number sense three-tier test Advance online publication. doi: 10.1080/03055698.2018.1516631. Educational Studies, 46 (1), 39-55.
Cheung, K. L. (2019). Multiplicity Results for the Scalar Curvature Equation on S^2. Advances in Theoretical and Applied Mathematics, 14, No 1(2019), 17-46.
Cheung, K. L. (2018). Blowup of solutions for the initial boundary value problem of the 3‐dimensional compressible damped Euler equations. Mathematical Methods in the Applied Sciences, 41(12), 4754-4762.
Cheung, K. L. (2018). On dry spot and droplet solutions for thin films on the plane. Zeitschrift für angewandte Mathematik und Physik, 69:89, 1-16.
Cheung, K.L. & Yang, D.C. (2018). Examining the Differences of Hong Kong and Taiwan Students’ Performance on the Number Sense Three-tier Test. EURASIA Journal of Mathematics, Science and Technology Education, 2018, 14(7), 3329-3345.
Cheung, K.L., Wong, S. and Yuen, M.W. (2018). Blowup Phenomenon for the Initial-boundary Value Problem of the Non-isentropic Compressible Euler Equations. Journal of Mathematical Physics, 59, 041502.
Cheung, K. L. & Chou, K. S. (2017). Energy stability of droplets and dry spots in a thin film model of hanging drops. Zeitschrift für angewandte Mathematik und Physik, 68:104, 1-21.
Cheung, K. L. (2017). Finite Propagation Speed and Finite Time Blowup of the Euler Equations for Generalized Chaplygin Gas. Advances in Theoretical and Applied Mathematics, 12, No.1(2017), 51-63.
Cheung, K. L. & Chou, K. S. (2017). A symmetry result for an elliptic problem arising from the 2-d thin film equation. Proceedings of American Mathematical Society, 145, 853-860.
Cheung, K. L. (2017). Blowup phenomena for the N-dimensional compressible Euler equations with damping. Zeitschrift für angewandte Mathematik und Physik, 68:27, 1-8.
An, H.L., Cheung, K.L. and Yuen, M.W. (2016). Perturbational Self-similar Solutions for the 2-component Degasperis-Procesi System via a Characteristic Method. Turkish Journal of Mathematics, 40, 1237-1245.
Cheung, K. L. (2016). Rotational and Self-similar Blowup Solutions for the Euler Equations for Generalized Chaplygin Gas. Advances in Theoretical and Applied Mathematics, 11, No.4(2016), 317-330.
Cheung, K.L. and Suen, A. (2016). Existence and Uniqueness of Small Energy Weak Solution to multi- dimensional compressible Navier-Stokes Equations with Large External Potential Force. Journal of Mathematical Physics, 57 (8), 081513, 1-19.
Cheung, K. L. (2016). Perturbational Blowup Solutions to the Two-Component Dullin-Gottwald-Holm System. The Scientific World Journal, 2016, 1-5.
Cheung, K. L. (2016). Perturbational Blowup Solutions to the Compressible Euler Equations with Damping. SpringerPlus, Retrieved from: http://www.springerplus.com/content/5/1/196, on line publication, 5, 1-9.
Cheung, K. L. (2016). On Blowup Phenomenon of Solutions to the Euler Equations for Generalized Chaplygin Gas. Advances in Theoretical and Applied Mathematics, 11, No.1(2016), 1-16.
Cheung, K. L. & Wong, S. (2016). Blowup Phenomenon of Solutions for the IBVP of the Compressible Euler Equations in Spherical Symmetry. The Scientific World Journal, Retrieved from http://dx.doi.org/10.1155/2016/3781760, on line publicaiton, 2016, 1-6.
Cheung, K. L., & Wong, S. (2015). Stabilities for Nonisentropic Euler-Poisson Equations. The Scientific World Journal, Retrieved from http://dx.doi.org/10.1155/2015/494707, on line publicaiton, 2015, 1-6.
Cheung, Ka Luen (2014). Exact Self-similar Perturbational Solutions of Whitham-Broer-Kaup Equations. Applied Mathematical Sciences, 8, no. 154, 7693-7701.
Cheung, Ka Luen (2014). Exact solutions for the two-dimensional incompressible magnetohydrodynamics equations. Applied Mathematical Sciences, 8, no. 119, 5915-5922.
Cheung, Ka Luen, Ho, Kwok-Pun (2014). Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent. Czechoslovak Mathematical Journal, Volume 64, Issue 1, pp159-171.
An, H.L., Cheung, K.L. and Yuen, M.W. (2013). A Class of Blowup and Global Analytical Solutions of the Viscoelastic Burgers' Equations. Physics Letters A, 377, 2275-2279.
Leung, I. K. C., Wong, N. Y., Schwarz, B., Cheung, K. L., Chan, W. S., & Kaiser, G. (2013). Competency of Prospective Chinese Mathematics Teachers on Mathematical Argumentation and Proof. The Mathematics Educator, 15(1), 74-90.
Cheung, K. L., Yeung, L. K. & Cheng, K. W. (2013). Notes on the learning and teaching of "circle" in the primary school. Datum, 46, 109-122.
Cheung, Ka Luen (2013). A discussion on the ruler and compass construction of regular pentagon. Datum, 46, 60-76.
Cheung, Ka-Luen & Zhang, Zhenyu (2012). Nonexistence of Global Solutions for a Family of Nonlocal or Higher Order Parablolic Problems. Differential and Integral Equations, 25, 787-800.
Cheung, K.L. and Yuen, M.W. (2012). Some Exact Blowup or Global Solutions for the Non-isentropic Navier-Stokes Equations with Density-dependent Viscosity. Results in Physics, 2, 55-57.
張家麟、林智中、黃毅英、何上沛 (2011)。 香港新高中數學科校本評核:英國 GCSE 學科作業及澳洲昆士蘭州校本評核的啟示。 教育學報,39(1-2),95-115。
張家麟、鄭曉暉 (2011)。 什麼是負正則連分數? — 漫談Reg與Neg。 數學傳播,35(3),50-63。
CHEUNG, Ka Luen and CHOU, Kai Seng (2010). On the stability of single and multiple droplets for equations of thin film type. Nonlinearity, 23(12), 3003-3028.
張家麟、黃毅英、林智中 (2010)。 學校幾何課程的重整 ─為何教和如何教演繹幾何?。 數學傳播,34(3),13-33。
張家麟 (2010)。 從解「橫越沙漠」趣題談起 — 數學通識科手記。 數學教育期刊,45,31-39。
黃衡之、曾耀平、張家麟 (2010)。 當電筒照在牆壁上 — 不要錯過探究數學的機會!。 數學教育期刊,45,75-84。
Wong, Ngai-Ying; Rowland, Tim; Chan,Wing-Sum; Cheung, Ka-Luen & Han, Ngai-Sze (2010). Mathematical Knowledge of Elementary School Teachers: A Comparative Perspective. Journal of the Korean Society of Mathematical Education Series D: Research in Mathematical Education, 14(2), 187-207.
張家麟 (2009)。 皎潔終無倦:以摯誠求證真理 , 一個女數學家的故事。 數學教育期刊,第44期,頁32-38。
袁震東,梁貫成,黃毅英,張家麟 (2009)。 辯證、平和、周密細緻的數學課程改革──香港數學教育訪談錄。 數學教學,2009年第7期,封二-頁6。
黃毅英、張家麟 (2009)。 探討橢圓的學與教(上)。 中學數學,7月下,1-4。
黃毅英、張家麟 (2009)。 探討橢圓的學與教(續)。 中學數學,8月上,1-3。
Publication in policy or professional journal
Ka Luen Cheung and Kwok-Pun Ho (2022)。 John Horton Conway 教授七分半鐘的挑戰。 《學校數學通訊》,25,116-133。 https://www.edb.gov.hk/tc/curriculum-development/kla/ma/res/smn.htmlpublished version
Publication in non-refereed journal
Wong, H. C. , & Cheung, K. L. (2021). The Easter eggs in the examinations. School mathematics newsletter, 24, 90-109. https://julac.hosted.exlibrisgroup.com/primo-explore/search?query=any,contains,991017971765203410&vid=EDUHKFind@EdUHK Library
Wong, H. C. , & Cheung, K. L. (2020). The e story. School mathematics newsletter, 23, 44-58. https://www.edb.gov.hk/en/curriculum-development/kla/ma/res/smn.htmlpublished version
Cheung, K. L. (2013)。 一個關於正五邊形的尺規作圖及其教學的討論。 數學教育期刊,46,60-76。 http://www.lib.eduhk.hk/cgi-bin/handle.pl?pub=2260/3828published version, https://julac.hosted.exlibrisgroup.com/primo-explore/search?query=any,contains,991006131109703410&vid=EDUHKFind@EdUHK Library
張家麟、黃毅英 (2010)。 為文科生寫的矩陣簡介。 香港數理教育學會會刊,第26卷,17-24。

Conference Papers
Invited conference paper
Cheung Ka Luen (2014, June). When the "Gold Needle" meets the "Tablet" - on the learning and teaching of geometry. Mathematics Learning and e-Learning in the Twenty-First Century, Hong Kong.
Leung, I. K. C., Wong, N. Y., Chan, W. S., Cheung, K. L., & Han, N. S. (2008, June). The competence of potential mathematics teachers of Hong Kong: A comparative perspective. Paper presented at the 11th International Conference of Mathematical Education, Mexico, Monterrey.
Ngai, Y. W., Rowland , T., Chan, W. S., Cheung, K. L., & Han, N. S. (2008, June). To what extent are our mathematics teachers eqipped with adequate mathematics to teach? A comparative perpective. Paper presented at the 11th International Conference of Mathematical Education, Mexico, Monterrey.
張家麟 (2008,4). 割圓往後又如何?談一些17到18世紀的數學思維。論文發表於「數學教育研討會2008:數學思考和解題」,香港。
Refereed conference paper
Cheung, K. L. (2020, December). Exploring preservice teachers’ self-regulation in a virtual flipped mathematics classroom. Paper presented at the ICLT 2020 Symposium: Flipping in the Virtual Education World - Sharing of Pedagogies and Practices. International Conference on Learning and Teaching 2020, Hong Kong.
Ng, W.S. & Cheung, K.L. (2019, July). The Effectiveness of Peer Assessment in the Flipped Classroom. Proceedings of International Conference on Information Communication Technologies in Education ICICTE 2019, Chania, Crete, Greece.
Cheung, K.L., Kong, S. C. & Ng, W.S. (2019, May). Using Peer Assessment to Facilitate Student Learning in Flipped Classroom. Lilly-Asia:Evidence-Based Teaching and Learning, Hong Kong.
Yang, D. C. & Cheung K. L. (2018, January). Examining the differences of Hong Kong and Taiwan students’ performance on the number sense three-tier test. 2018 Eurasian Conference on Educational Innovation, Macau.
Cheung K. L. & Yang, D. C. (2017, December). The study of Hong Kong 5th and 6th graders’ performance on the number sense three-tier test. WERA-HKERA 2017 International Conference, EDUHK, Hong Kong.
Cheung, K. L. (2015, June). Cyclotomic Method on the e-Learning Platform. Emergiing Practiices in E-Learniing and Mathematiics Educatiion, Hong Kong.
Yeung, Y.Y., Cheung, K.L. and Sjøberg, S. (2013, July). University students’ choices of science and mathematics related programmes in Mainland China.. East-Asian Association for Science Education 2013 International Conference, 4-6 July 2013, Hong Kong., Hong Kong.
Cheung, K. L. (2013, June). How to use “Proof Without Words” for the Inquiry-based Learning and Teaching in Mathematics. A talk delivered at the Inquiry-based learning in Mathematics and e-Learning in Green and Cloud Computing Environment Seminar, HKIEd, Hong Kong.
Cheung, K. L. (2012, December). How pre-service mathematics teachers develop their knowledge for teaching through their interactions with students?. The 3rd East Asian International Conference On Teacher Education Research, Shanghai, China.
張家麟 (2011,6). 從評估看香港小學的多邊形學習。發展21世紀能力的電子學習-運用評估促進數學的學習研討會,香港。
Kwan, S. P. & Cheung, K.L (2009, September). The van Hiele Phases of Learning in studying Cube Dissection. Conference of Models in Developing Mathematics Education at Dresden, Germany.
Other conference paper
張家麟 (2012,6). “IT” 與 “Euclid” 的結合: 關於平面幾何學中一些基本主題的學與教。學校教育的數碼教室與處理學習差異的數學教育研討會,香港。
梁景信、張家麟 (2011,6). 數學歸納法的教與學。香港數學教育會議2011,香港。

All Other Outputs
Review of books or of software
Cheung, Ka Luen (2010). Review of a journal article.. Asia-Pacific Forum on Science Learning and Teaching.. Asia-Pacific Forum on Science Learning and Teaching.
Cheung, Ka Luen (2009). Review of a journal article. Asia-Pacific Forum on Science Learning and Teaching. Asia-Pacific Forum on Science Learning and Teaching.
Other outputs
Cheung Ka Luen (2014). Review of a journal article for Cogent Education. Taylor & Francis Group.
Cheung Ka Luen (2013). Review of a journal article in Educational Research Journal.
張家麟 (2007)。 文章評審。《數學教育學報》。

Projects

Long Time Behavior of Classical Solutions to Relativistic Euler-Poisson System

Project Start Year: 2022, Principal Investigator(s): CHEUNG, Ka Luen

 
The Blow-up Properties of the Classical Solutions of a Relativistic System in Fluid Dynamics with Logarithmic Equation of State

Project Start Year: 2021, Principal Investigator(s): CHEUNG, Ka Luen 張家麟

 
On Local Well-posedness of a Relativistic System in Fluid Dynamics with Logarithmic Equation of State

Project Start Year: 2021, Principal Investigator(s): CHEUNG, Ka Luen 張家麟

 
Artificial Intelligence (AI) Literacy Development for EdUHK and Secondary School Students
This project aims at offering workshops for EdUHK and secondary school students to develop their AI literacy. A total of 360 students will be covered in two years. In addition, the set of tailored teaching materials can be deployed by other educators.
Project Start Year: 2020, Principal Investigator(s): KONG, Siu Cheung, CHEUNG, Ka Luen

 
Strategic Development of the EdU Online Classes Platform (EOCP) for the Enhancement of Online Learning and Teaching in Local Schools
The project is a crisis management strategy for facing the sudden and big switch of teaching and learning mode in the educational sector. The project goal is to transform the crisis of the prolonged suspension of on-campus teaching and learning to be an opportunity for the comprehensive implementation of online teaching and learning.
Project Start Year: 2020, Principal Investigator(s): KONG, Siu Cheung, HUI, Yan Keung, John (CHEUNG, Ka Luen as Co-Investigator)

 
New Initial Functional Condition for Singularity Formation of Euler Equations with Background Density
To obtain singularity formation results for the N-dimensional isentropic and non-isentropic Euler equations with background density by studying functional relations in the systems.
Project Start Year: 2020, Principal Investigator(s): CHEUNG, Ka Luen 張家麟

 
E-learning Materials in Mathematics for Primary School Students
This project aims at producing high quality animated video clips with songs to enable primary school students to learn and understand various mathematical concepts with fun. The direct beneficiaries include primary school students, their teachers, and parents.
Project Start Year: 2020, Principal Investigator(s): KONG, Siu Cheung 江紹祥, CHEUNG, Ka Luen 張家麟

 
Singularity Formation of the Compressible Euler Equations for Modified Generalized Chaplygin Gas and Its Related Systems
..
Project Start Year: 2019, Principal Investigator(s): CHEUNG, Ka Luen 張家麟

 
Blow-up Phenomenon of the Compressible Euler Equations for Generalized Chaplygin Gas and Beyond
..
Project Start Year: 2019, Principal Investigator(s): CHEUNG, Ka Luen 張家麟

 
Enhancing Students’ Mathematics Learning through Instructional STEM Activities with Mathematical Modeling
..
Project Start Year: 2019, Principal Investigator(s): LING, Man Ho Alpha 凌萬豪 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
Inequalities and Operators on Morrey Type Spaces with Applications to the Euler Equations under Damping
This project will study important operators and establish related inequalities on Morrey Type Spaces, and investigate their applications to the Euler Equations under Damping.
Project Start Year: 2019, Principal Investigator(s): CHEUNG, Ka Luen 張家麟

 
Development of E-learning Package to Enhance Learning and Teaching Probability and Statistics
Innovative digital learning objects will be developed with a powerful statistical tool, R, and an appropriate curriculum will be designed in this project, to facilitate teaching and learning of probability distributions.
Project Start Year: 2018, Principal Investigator(s): LING, Man Ho Alpha 凌萬豪, YEE, Tat Leung 余達良, CHEUNG, Ka Luen 張家麟

 
Adaptive Scaffolding for Learning Fraction among Students with Learning Disabilities
Scaffolding is generally attributed to Wood, Bruner and Ross (1978) who describe it is as a: ∙∙∙process that enables a child or a novice to solve a problem, carry out a task, or achieve a goal which would be beyond his unassisted efforts (p. 90). If a leaner is scaffolded by the tutor, he could not lonely accomplish the task at higher level, but also would be able to internalize their thinking, strategies or mechanisms used to be able to approach other similar tasks (Rogoff and Gardner, 1984). Recognizing its merits and potential benefits, scaffolding has become the frequently discussed topic in the field of learning sciences and relevant research areas. Recently, computer-mediated scaffoldings attract eye balls of many educators and scholars with focusing on their effectiveness of students’ learning. Although relevant studies have been conducting for addressing this, limited studies exploring the students with learning disabilities learning abstract concepts in key subjects in STEM education. To bridge the gap between research on computer-mediated scaffoldings and its impact on students with learning disabilities, in this proposed project, we will conduct research on the influence of computer-mediated scaffoldings on students who have learning disabilities learning the mathematical concept: fraction, which has been identified the concept received comparative more misconceptions and learning difficulties in maths subject. In the study, the research team will design the computer-supported mathematic program following a similar program called Fun Fraction (Shin and Bryant, 2017) with particular design features of fixed scaffoldings and adaptive scaffoldings. Students with learning disabilities will be recruited and randomly assigned into three groups:1) fixed scaffolding 2) self-selected scaffolding; and 3) performance-based scaffolding. Pre- and post-tests will be administrated and the results will be analyzed for exposing the impacts of different types of computer-mediated scaffoldings on students maths learning. The quality of tasks regarding to fraction calculation done in the computer program will also been categorized and analyzed for identifying students differences in the conceptual understanding. Classroom observation will be conducted for observing students’ interaction with the program and the teacher, which will be used a supplementary data for identifying the differences affected by these types of computer-mediated scaffoldings. The study will inform the learning design of maths subject, technology-supported learning, as well as teacher education in special education. Furthermore, the study will fill the blank of the research on learning disabilities students’ learning supported by technology.
Project Start Year: 2018, Principal Investigator(s): SUN, Daner 孫丹兒 (CHEUNG, Ka Luen 張家麟 as Co-Principal Investigator)

 
Study of Global Existence of the Solutions to the 3-dimensional Euler Equations for Generalized Chaplygin Gas in the Vacuum
We will study in this project the Global Existence of the Solutions to the 3-dimensional Euler Equations for Generalized Chaplygin Gas in the Vacuum under the affine damping.
Project Start Year: 2018, Principal Investigator(s): CHEUNG, Ka Luen 張家麟

 
Mathematical Concept Development for Secondary School Students through e-Learning
To promote mathematics e-Learning in local secondary schools, The Education University of Hong Kong (EdUHK) initiates a project titled “Mathematical Concept Development for Secondary School Students through E-Learning” with generous donation from the Li Ka Shing Foundation (LKSF). The project aims to equip local pre-service and in-service teachers with quality teaching methods as well as rich learning and teaching resources, which will in turn enrich the learning experience of students in Hong Kong. The project will deploy Cornerstone Maths, an e-Learning platform developed by SRI International together with the University College London (UCL) Knowledge Lab, with funding support from the LKSF. Cornerstone Maths deploys Information and Communication Technology (ICT) for establishing visualisation and interactivity elements in the platform to facilitate the communication and formation of mathematical concepts in the learning process. Cornerstone Maths targets at junior secondary students and covers a few curriculum units with teaching and learning resources readily available.
Project Start Year: 2017, Principal Investigator(s): KONG, Siu Cheung 江紹祥, CHEUNG, Ka Luen 張家麟

 
Effective Implementation of the Flipped Classroom Approach in Hong Kong Higher Education for Enhanced Learning Outcomes
The notion of ‘flipped classroom’ has attracted much attention in recent years because it has the potential of substantially enhance teaching and learning. Flipping the classroom is regarded to have strong theoretical basis of the learning enhancement. It is, for example, mentioned to be in line with our modern understanding about how people learn and it is capable of incorporating new educational concepts such as personalized learning, peer learning, and learning through construction of knowledge with active engagement in learning activities, etc.
The project provides the essential support to teachers at a number of universities in Hong Kong who would like to adopt the innovative teaching and learning approaches. Through the collective effort of the participating universities, experiences and expertise will be shared to provide effective support that should allow practitioners to overcome the many challenges mentioned above and harvest the best possible from this new pedagogy.

Project Start Year: 2017, Principal Investigator(s): Dr. LAM Lai Chuen, Paul (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
An investigation on the blowup problem for the N-dimensional non-isentropic compressible Euler equations
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Project Start Year: 2016, Principal Investigator(s): CHEUNG, Ka Luen 張家麟

 
The N-dimensional Isentropic Compressible Euler Equations for the Generalized Chaplygin Gas
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Project Start Year: 2016, Principal Investigator(s): CHEUNG, Ka Luen 張家麟

 
Good Teaching Practice – Incorporation of Development of Generic Skills into Course Teaching at Higher Education Context
The present project is related to Community of Practice (CoP). It aims to promote good teaching practice with the focus of incorporating the generic intended learning outcomes (GILOs) in course teaching and develop a peer sharing atmosphere on campus. It engages our colleagues in sharing and exchanging their teaching experience through an online platform.
Project Start Year: 2015, Principal Investigator(s): CHENG, May Hung May 鄭美紅 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
Developing a Massive Open Online Course (MOOC) “E-pedagogy in Mathematics Learning and Teaching”
This project aims to develop a Massive Open Online Course (MOOC) as an exemplar of professional development for all academic and teaching staff at EdUHK/HKIEd. To meet the need for enriching primary and secondary teachers’ professional development related to e-learning in Hong Kong, a MOOC “E-pedagogy in Mathematics Learning and Teaching” is developed as a signature course of EdUHK/HKIEd to equip the academic and teaching staff at EdUHK/HKIEd, as well as pre- and in-service mathematics teachers with the ability and competence in developing e-pedagogy for learner-centered learning. E-pedagogy course packs which include topics on five dimensions in primary mathematics and three dimensions in secondary mathematics will be developed. A Putonghua language version is provided alongside the Cantonese version in the course resources such as videos. After the digital resources are developed in each stage, academic and teaching staff at EdUHK/HKIEd will be invited to trial and evaluate the MOOC.
Project Start Year: 2015, Principal Investigator(s): KONG, Siu Cheung 江紹祥 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
Analytical Solutions for 2-component Shallow Water System
In the proposal, we study the symmetry reduction of some shallow water equations, for example the 2-component Camassa–Holm, Dullin-Gottwald-Holm, Degasperis-Procesi, Fornberg-Whitham and Degasperis-Procesi Equations. The shallow water systems are important to study the ocean dynamics. In details, we would like to study the analytical or exact solutions for the above shallow water equations. We want to apply the new solutions for modeling the drifting phenomena of the ocean fluids, like Tsunamis. There will be a lot of potential applications of the new constructed solutions for real world applications. For the analytical or exact solutions, scientists can use it as reference solutions to check the numerical methods. Therefore, they can design more accurate methods for modeling the real cases.
Project Start Year: 2013, Principal Investigator(s): YUEN, Man Wai 阮文威 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
TDG Project: Teaching and learning portfolios for active, engaged and reflective learning
This project aims to: (a) design and develop e-portfolios via the Mahara environment to enhance active, engaged and reflective learning; (b) select, design and develop suitable learning and teaching materials for incorporation in the e-portfolios; (c) enable the students to aware the rationales and the advantages of adoption of teaching and learning portfolios in education; and (d) enhance the quality of learning and teaching of mathematics and information technology courses.
Project Start Year: 2012, Principal Investigator(s): POON, Kin Keung Eric 潘建強, KONG, Siu Cheung 江紹祥, MAN, Yiu Kwong 文耀光 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
Undertaking of the International Project on ‘Interests and Recruitment in Science’ in Hong Kong and Guangzhou
This is a pilot study of a large proposal which is based on the international comparative research project called Interests & Recruitment in Science (IRIS), which aims to help improve recruitment, retention, and gender equity patterns within STM education and careers. The IRIS project has been funded (with a total budget of about 1.3 million Euros) by the EU (European Union) under the “Science in Society” category of the Seventh Framework Programme (7FP) for research and technological development. A consortium was formed by the researchers from six universities or institutions in five different EU countries. International associate partners are being recruited to participate in this study, but they need to apply for the relevant research funding from their respective countries or regions. As the 7FP is the EU’s chief instrument for funding all research-related EU initiatives (with a total budget of 51 billion Euros) over the period of 2007 to 2013, those funded projects should be recognized as playing a crucial role in attaining the goals of increasing growth, competitiveness, and employment in the EU member states. In Hong Kong, the findings from this project will enable education officers and teachers to provide well-informed advice and initiate relevant supplementary policy or practice to refine the new senior secondary curricula in STM as recently implemented. By acquiring a similar understanding of those students in the nearby city of Guangzhou, the Hong Kong tertiary education sector will be in a far better position to recruit first-tier students from mainland China and thereby attain its goal of becoming an educational hub in the Asia-Pacific region.
Project Start Year: 2011, Principal Investigator(s): YEUNG, Yau Yuen 楊友源 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
Enhancing the relationship of teaching and learning: What is the knowledege base of teaching and how can it facititate learning?
The relation of teaching and learning rests on how theories can be linked to practice. Very often, teaching theories emerge and vary in quite a number of ways and they do not readily respond to what students need to know. With this in mind, Shulman and his associates at Stanford University have worked on a practical way of approaching subject matter, school curriculum and pedagogy with an emphasis of “pedagogical content knowledge” (see Grossman, Wilson and Shulman, 1989; Wilson, Shulman and Richert, 1987) which has groomed during the last two decades. In substance, Shulman highlighted four sources of knowledge base of teaching: (1) scholarship in content disciplines, (2) the materials and settings of the institutionalized educational process (for example, curricula, textbooks, school organizations and finance, and the structure of the teaching profession), (3) research on teaching, social and cultural phenomena that affect what teachers can do, and (4) the wisdom of practice itself (Shulman, 1987). In this study, Shulman’s framework is adapted and used for developing the knowledge base of teaching in the newly implemented 335 curriculum which requires new teaching and learning. Theory and practice will be linked by academics’ input of the new curriculum in the in-service and pre-service courses and followed by student teachers’ application of their knowledge in their school contexts during teaching practice. Through in-depth investigations, the study aims to develop a useful pool of cases of how teachers will transform their knowledge in real contexts.
Project Start Year: 2011, Principal Investigator(s): CHAN, Kin Sang Jacqueline 陳健生 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
An Investigation into Properties of Droplets for Thin Film Type Equations on the Plane
The research will focus on the analysis of steady states solutions including the droplet shaped solutions (droplets) of the thin film type equation on the disk. We shall investigate:(i) the energy stability properties of these solutions, (ii) the uniqueness of radial droplets with zero contact angles, and (iii) the radial symmetry property of energy stable droplets with zero contact angles.
Project Start Year: 2011, Principal Investigator(s): CHEUNG, Ka Luen 張家麟

 
Littlewood-Paley Characterization of Function Spaces and Variable Exponent Analysis
The main purpose of this research is the study of some new function spaces defined via the Littlewood-Paley function.
Project Start Year: 2011, Principal Investigator(s): HO, Kwok Pun Victor 何國斌 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
Evaluation of effectiveness of e-learning materials in senior secondary science and mathematics subjects
The provision of quality and sufficient resources of interactive self-learning is one of the main foci of the third round of Hong Kong Government’s strategic policy to integrate ICT (Information and Communications Technology) in learning and teaching – “The Third Strategy on IT in Education: Right Technology at the Right Time for the Right Task “. It is in fact built upon the earlier strategies of empowering learners and teachers with IT, enhancing educational leaders to integrate IT in schools and provision of necessary IT infrastructure and training to teachers etc. On the other hand, since September 2009 the New Senior Secondary Curriculum has already been implemented in Hong Kong to re-align the senior secondary and university education system with those found in most parts of the world, especially in Mainland China and USA. Both the Science and Mathematics Key Learning Areas are affected by the NSSC because the curriculum structure and the assessment requirements have been substantially revised. At the same time, an e-learning provider company called Hanlun Information Limited has started to develop a large bank of learning objects (LOs) in the 3 science subjects (to wit, Physics, Chemistry and Biology) and the Mathematics subject at the NSSC level. For our development of the new self-funded Bachelor of Science Education (Honours) (Science & Web Technology) programme at HKIEd, we have met and interviewed the key personnel of that company, knowing that they need our professional service to objectively assess the quality of their LOs and at the same time they could provide a good opportunity for us to conduct research on the learning effectiveness, implementation feasibility/difficulties and students’ and teachers receptivity and attitudes towards the use of e-learning materials to supplement regular school lessons.
This project aims to
1. evaluate the learning effectiveness of the learning objects as developed by an e-learning provider;
2. find out the role of feedback in self regulated learning strategies (SRLS) used and
3. investigate the role of instruction in developing students’ SRLS.

Project Start Year: 2011, Principal Investigator(s): YEUNG, Yau Yuen 楊友源 (CHEUNG, Ka Luen 張家麟 as Team Member)

 
Evaluation of effectiveness of e-learning materials in senior secondary science and mathematics subjects
The HKIEd Project Team shall conduct an evaluation on the effectiveness of e-learning materials in senior secondary science and mathematics subjects as developed by the Hanlun Information Limited.
Project Start Year: 2011, Principal Investigator(s): YEUNG, Yau Yuen 楊友源 (CHEUNG, Ka Luen 張家麟 as Team Member)

 
Developing Exploratory Pedagogy to Enhance Teaching and Learning of Mathematics
This project aims to: (a) develop exploratory pedagogy for enhancing teaching and learning of mathematics; (b) design and develop relevant exploratory teaching and learning materials for use by lecturers and students; (c) study the impact of the end-products via peer-reviews, try-outs, questionnaires and interviews.
Project Start Year: 2010, Principal Investigator(s): MAN, Yiu Kwong 文耀光 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
The 27th Hong Kong Mathematics Olympiad (HKMO)
The 27th HKMO was jointly organized by the MIT department and the math section of EdB. It aims to promote, encourage and sustain Secondary 4 students’ interests in the study of mathematics. In the 27th HKMO, there were 258 schools and 1350 students participated in the heat event and 40 schools and 240 students participated in the final event on 17 April 2010. A Mathematics Camp was also held on 15 May at the Fanling Baptist Village, where students enhanced their problem-solving skills by handling difficult Mathematics tasks.
Project Start Year: 2009, Principal Investigator(s): (CHEUNG, Ka Luen 張家麟 as Team Member)

 
Pre-Service Teacher’s Skills on Modeling - A comparison between Pre-Service Teachers from Various of Chinese Mainland and Hong Kong
To investigate how well pre-service teachers in teaching mathematics problems in a modeling perspective in terms of lesson preparation, class room instruction, beliefs and practice besides the subject content knowledge.
Project Start Year: 2009, Principal Investigator(s): CHEUNG Ka Luen

 
Conference on Mathematical Teaching and Assessment
The main objective is to provide an opportunity for the students/participants of the institute to learn more about teaching and assessment of mathematics. It consists of two conferences, one in March and another one in May of 2009. In March, the conference is focus on mathematics teaching, with invited speakers from Mainland China, Taiwan and Japan, ect. In May, the conference is focus on assessment and mathematics thinking, with invited Speakers from South Korea, Vietnam, Taiwan, Thailand, Japan and Mainland China, ect.
Project Start Year: 2009, Principal Investigator(s): CHENG, Chun Chor Litwin 鄭振初 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
The Interface between the New Senior Secondary Curriculum and the Tertiary Education
The endorsement of the HKSAR to adopt a 3-year senior secondary and 4-year undergraduate academic system to be implemented in 2009-2012 will mark a new page of the Hong Kong education system. Under the new sywstem, a new curriculum, namely, the New Senior Secondary (NSS) curriculum will be adopted. The NSS curriculum is found different from the existing secondary curriculum in terms of curriculum goals, learning contents, teaching and learning strategies and students' learning outcomes. It is anticipated that the adoption of the NSS curriculum will have significant impact on the tertiary education. Respectively, the tertiary institutions will need to design new curriculum to accommodate the needs of the NSS graduates. The study will enable a search for such ground so that relevant and feasible plans can be made for the future changes in HKIED and tertiary education in Hong Kong.
Project Start Year: 2008, Principal Investigator(s): LAM Chi Chung, CHAN Kin Sang Jacqueline (CHEUNG Ka Luen as Co-Investigator)

 
Competencies in Argumentation and Proof - A Comparative Study of Future Mathematics Teachers from Hong Kong, Mainland China and Taiwan
To investigate the competence of mathematics pre-service teachers in logical argumentation, mathematical proving and modeling from Hong Kong, Mainland China and Taiwan.
Project Start Year: 2008, Principal Investigator(s): CHEUNG Ka Luen

 
Competencies in Argumentation of Proof – A Comparative Study of Future Mathematics Teachers from Australia, Germany, and Hong Kong
We have to invite Bjorn Schwarz to come over Hong Kong to develop a coding system for the analysis of the data set in questionnaires forms we have collected from Hong Kong, Mainland China and Taiwan We have learnt the technique and methodology in coding and evaluating data via qualitative content analysis methods. This project also acts as a step stone for our colleagues to learn the skills on doing comparative studies in joint internationally collaborative mode.
Project Start Year: 2008, Principal Investigator(s): LEUNG Kui Chiu Issic (CHEUNG Ka Luen as Co-Investigator)

 
The 25th Hong Kong Mathematics Olympaid
The HKMO is jointly organized by the MSST and the math section of EdB. It aims to promote, encourage and sustain F.4 students’ interests in the study of math; In the 25th HKMO, there were 248 schools and 1488 students participated in the heat and final events. In addition, for the purpose of promoting this competition, all local secondary schools were invited to take part in the 26th HKMO poster design competition.
Project Start Year: 2007, Principal Investigator(s): POON, Kin Keung Eric 潘建強, WONG, Tak Wah 黃德華 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
The HKIEd Longman Mathematics Day 2007
It aims to promote our Institute and Department to senior secondary students and in-service teachers, and it is achieved through involving these students and teachers in interesting and meaningful mathematics activities at our campus. These activities are designed to stimulate students' interest in mathematics, and to encourage them to participate in mathematics learning in ways that are different from those normally adopted in their school studies. Besides, it also provides opportunity for in-service math teachers and HKIEd student teachers to organize and participate in such large-scale extracurricular mathematics activities.
Project Start Year: 2007, Principal Investigator(s): WONG, Tak Wah 黃德華 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
The 24th Hong Kong Mathematics Olympaid
The HKMO is jointly organised by the Department of MSST, HKIEd, and the Mathematics Education Section of the EMB. It is aiming to promote, encourage and sustain student's interest in the study of mathematics, and to foster inter-school communications. In the 24th HKMO, of 258 schools, 1032 students participated in the heat event on 17 February 2007 and the 40 teams, 160 students, with the highest scores in the heat event entered the final, which was held on 14 April 2007 at Tai Po Main Campus. In addition, for the purporse of promoting the HKMO competition, all secondary schools in HK were invited to take part in the 25th HKMO poster design competition too.
Project Start Year: 2006, Principal Investigator(s): WONG, Tak Wah 黃德華 (CHEUNG, Ka Luen 張家麟 as Co-Investigator)

 
Prizes and awards

President's Award for Outstanding Performance in Teaching 2011/12
Dr. Cheung is a passionately devoted mathematics educator. He firmly believes in “teaching as inquiry” and encourages students to think for themselves in logical and creative ways. Dr. Cheung is well recognized for his dedication to the planning and organization of his learner-centered instructional design and development of teaching resources to enrich students’ learning experiences.(Abridged citation of Dr Cheung Ka Luen, President's Award Presentation Ceremony, 7 May 2012).
Date of receipt: 7/5/2012, Conferred by: Hong Kong Institute of Education
 
Excellence in Teaching Award 2010-11

Date of receipt: 31/5/2011, Conferred by: Faculty of Arts and Sciences, HKIEd
 
Faculty Exemplary Teaching Award

Date of receipt: 1/6/2005, Conferred by: The Chinese University of Hong Kong
 
TA Teaching Excellence Awards

Date of receipt: 1/3/1997, Conferred by: Department of Mathematics, Rutgers University, USA