Dr MAN, Yiu Kwong   文耀光
Adjunct Associate Professor
Department of Mathematics and Information Technology
Phone No: (852) 2948 7828
Email: ykman@eduhk.hk
Contact
ORCiD
0000-0003-3987-9676
Phone
(852) 2948 7828
Email
ykman@eduhk.hk
Scopus ID
15846029300
Research Interest
  • Mathematics Education
  • Computer Algebra (Symbolic Computation)
  • Differential Equations
  • Mathematical Algorithms
  • Mathematical Problem-solving
  • History of Mathematics
External Appointment
  1. Editorial Board member of International Journal of Theoretical and Applied Mathematics
  2. Editorial Board member of American Journal of Mathematical and Computer Modelling
  3. Editorial Board member of International Journal of Applied and Experimental Mathematics
  4. Editorial Board member of Journal of Pure and Applied Mathematics
  5. Guest editor of Eurasia Journal of Mathematics, Science and Technology Education (SSCI) for the special issue on Teacher's Noticing (2017-18)
  6. External Examiner of a PhD thesis, Department of Education Studies, Hong Kong Baptist University, 2017-18
  7. Internal Examiner of a EdD thesis, The Education University of Hong Kong, March 2017
  8. Invited Session Chair, International Conference on Electrical Engineering, IMECS, March 2018, Hong Kong
  9. Invited Session Chair, International Conference of Applied and Engineering Mathematics, WCE, July 2017, London, UK
  10. Inivted Session Chair, International Conference on Computer Science, IMECS, March 2017, Hong Kong
  11. Guest of Honour, National Math Bee (HK) Final, 2016-17
  12. Invited participant in the Times Higher Education World University Ranking (2016-2017)
  13. Invited participant in the QS Global Academic Survey on World University Rankings (2014-2017)
  14. Guest of Honour, Hong Kong Mathematics Olympiad (2011-12, 2012-13, 2014-15)
  15. Adjudicator of the Hong Kong Primary Mathematics Competition (2012, 2013, 2014)
  16. 評判,港澳數學電子課堂設計比賽,澳門數學教育研究會與資訊科技教育領袖協會 (2014)
  17. Member of Assessment Panel on Mathematics Key Learning Area, the Chief Executive's Award for Teaching Excellence (2010-2011)
  18. Member of Editorial Board, Datum: Journal of Mathematics Education (2011-12)
  19. Academic Consultant, Mathematics and Technology Monthly (2008 onwards)
  20. Invited speaker of the History of Mathematics Seminar organized by EDB (2008)
  21. Invited speaker of the "Reading to Learn Mathematics" Seminar organized by EDB (2006, 2007)
  22. Member of Assessment Panel on Mathematics Key Learning Area, the Chief Executive's Award for Teaching Excellence (2005-2006)
  23. Member of Programme Committee, Global Chinese Conference on Computers in Education (Hawaii, 2005)
  24. Member of Editorial Board, Proceedings of the Conference on Mathematics Education, HKIEd (2005)
  25. Member of Non-graduate Teacher Qualifications Assessment Examination Committee (NGTQA), Hong Kong Examinatons Authority (1996-2000)
  26. Member of Primary Mathematics Attainment Test Working Group, Hong Kong Education Department (1997-1999)
  27. Invited reviewer for the following journals:
    • British Journal of Mathematics and Computer
    • Mathematics and Computer Science
    • Journal of Applied Mathematics
    • Applied Mathematics and Computation
    • Educational Research and Reviews
    • IEEE Transactions on Circuit and Systems I
    • Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
    • Journal of Mathematical Analysis and Applications
    • International Journal of Mathematical Education in Science and Technology
    • Journal of Computers in Mathematics and Science Teaching
    • Journal of Computational and Applied Mathematics
    • Journal of Symbolic Computation
    • Journal of Physics A: Mathematical and Theoretical
    • Journal of Computer Physics Communications
    • Journal of Mathematical Physics
    • Asia-Pacific Forum on Science Learning and Teaching

Professional Profile

Dr Man obtained his BSc (Hons) degree in Mathematics from the Hong Kong Polytechnic University, and his MSc (with Distinction) and PhD degrees in Mathematics from Queen Mary, University of London, UK. He also obtained a PGDE (with Distinction) from the Chinese University of Hong Kong.

His publications include books, book chapters, conference papers, international refereed journal articles and CD-ROMs in the areas of Computer Algebra, Geometry, History of Mathematics, Problem Solving, Number Theory, Mathematical Algorithms, Computer Assisted Learning in Mathematics and Mathematics Educaton, etc. Together with his team members, Dr Man had received a Certificate of Merit in a QEF Project called "Promoting problem-solving practices among teachers and pupils in primary mathematics" in 2008. He had also received the Sir Robert Black Trust Fund scholarships and the ORS scholarships from Hong Kong and the United Kingdom before. He is now a member of the International Association of Engineers (IAENG). He also serves as an Editorial Board member for a number of international journals in recent years. In 2017-18, he was an invited guest editor of Eurasia Journal of Mathematics, Science and Technology Education, for the special issue on Teacher's Noticing.

Dr Man is an Associate Professor of the Department of Mathematics and Information Technology. He teaches undergraduate and postgraduate courses of mathematics and mathematics education, as well as professional development courses for in-service mathematics teachers. He served as the Programme Leader of the Master of Arts in Mathematics and Pedagogy Programme from Sept 2011 to July 2019.

Scopus Author ID: 15846029300

ORCID: 0000-0003-3987-9676

Research Interest

  • Mathematics Education
  • Computer Algebra (Symbolic Computation)
  • Differential Equations
  • Mathematical Algorithms
  • Mathematical Problem-solving
  • History of Mathematics
External Appointment

  1. Editorial Board member of International Journal of Theoretical and Applied Mathematics
  2. Editorial Board member of American Journal of Mathematical and Computer Modelling
  3. Editorial Board member of International Journal of Applied and Experimental Mathematics
  4. Editorial Board member of Journal of Pure and Applied Mathematics
  5. Guest editor of Eurasia Journal of Mathematics, Science and Technology Education (SSCI) for the special issue on Teacher's Noticing (2017-18)
  6. External Examiner of a PhD thesis, Department of Education Studies, Hong Kong Baptist University, 2017-18
  7. Internal Examiner of a EdD thesis, The Education University of Hong Kong, March 2017
  8. Invited Session Chair, International Conference on Electrical Engineering, IMECS, March 2018, Hong Kong
  9. Invited Session Chair, International Conference of Applied and Engineering Mathematics, WCE, July 2017, London, UK
  10. Inivted Session Chair, International Conference on Computer Science, IMECS, March 2017, Hong Kong
  11. Guest of Honour, National Math Bee (HK) Final, 2016-17
  12. Invited participant in the Times Higher Education World University Ranking (2016-2017)
  13. Invited participant in the QS Global Academic Survey on World University Rankings (2014-2017)
  14. Guest of Honour, Hong Kong Mathematics Olympiad (2011-12, 2012-13, 2014-15)
  15. Adjudicator of the Hong Kong Primary Mathematics Competition (2012, 2013, 2014)
  16. 評判,港澳數學電子課堂設計比賽,澳門數學教育研究會與資訊科技教育領袖協會 (2014)
  17. Member of Assessment Panel on Mathematics Key Learning Area, the Chief Executive's Award for Teaching Excellence (2010-2011)
  18. Member of Editorial Board, Datum: Journal of Mathematics Education (2011-12)
  19. Academic Consultant, Mathematics and Technology Monthly (2008 onwards)
  20. Invited speaker of the History of Mathematics Seminar organized by EDB (2008)
  21. Invited speaker of the "Reading to Learn Mathematics" Seminar organized by EDB (2006, 2007)
  22. Member of Assessment Panel on Mathematics Key Learning Area, the Chief Executive's Award for Teaching Excellence (2005-2006)
  23. Member of Programme Committee, Global Chinese Conference on Computers in Education (Hawaii, 2005)
  24. Member of Editorial Board, Proceedings of the Conference on Mathematics Education, HKIEd (2005)
  25. Member of Non-graduate Teacher Qualifications Assessment Examination Committee (NGTQA), Hong Kong Examinatons Authority (1996-2000)
  26. Member of Primary Mathematics Attainment Test Working Group, Hong Kong Education Department (1997-1999)
  27. Invited reviewer for the following journals:
    • British Journal of Mathematics and Computer
    • Mathematics and Computer Science
    • Journal of Applied Mathematics
    • Applied Mathematics and Computation
    • Educational Research and Reviews
    • IEEE Transactions on Circuit and Systems I
    • Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
    • Journal of Mathematical Analysis and Applications
    • International Journal of Mathematical Education in Science and Technology
    • Journal of Computers in Mathematics and Science Teaching
    • Journal of Computational and Applied Mathematics
    • Journal of Symbolic Computation
    • Journal of Physics A: Mathematical and Theoretical
    • Journal of Computer Physics Communications
    • Journal of Mathematical Physics
    • Asia-Pacific Forum on Science Learning and Teaching

Selected Output

Scholarly Books, Monographs and Chapters
Man, Y.K. (2021). A simple approach for solving linear Diophantine equation in two variables. In S.I. Ao, L. Gelman, H.K. Kim (Eds.), Transactions on Engineering Technologies (83-87). Singapore: Springer.
Man, Y.K. (2020). Solving linear homogeneous recurrence relation by a cover up approach. In Taekyun Kim (Eds), Advanced Mathematics Theory and Applications (Vol. III) (85-90). Delhi: Research India Publications.
Man, Y.K. (2019). Essential Concepts of Geometry (second edition). Hong Kong: Hong Kong Educational Publishing Company (ISBN: 978-988-241-230-9).
Man, Y.K. (2019). On computing the inverse of Vandermonde matrix via synthetic divisions. In Ao, S.I., Gelman, L. & Kim, H.K. (Eds), Transactions on Engineering Technologies (121-128). Singapore: Springer.
Man, Y.K. (2018). On dual sequences of measurable amounts of the two jugs problem. In Taekyunn Kim (Eds), Advanced Mathematics Theory and Applications (Vol. II) (13-22). Delhi: Research India Publications.
Man, Y.K. (2018). Solving the Fagnano's problem via a dynamic geometry approach. In Ao, S.I. & Kim, H.K. et al (Eds), Transaction on Engineering Technologies (243-251). Singapore: Springer.
Man, Y.K. (2017). On optimal solution of the general two water jugs problem. In Taekyun Kim (Eds.), Advanced Mathematics Theory and Applications (295-304). Delhi: Research India Publications.
Man, Y.K. (2016). Simple algorithms for solving the general two jugs problem. In S.I. Ao, H.S. Chan, H. Katagiri, X. Li (Eds.), IAENG Transaction on Engineering Sciences: Special issue for the International Association of Engineers Conference 2015 (205-213). Singapore: World Scientific.
Man, Y.K. (2015). On the inversion of Vandermonde matrix via partial fraction decomposition. In S. L. Ao, H.S. Chan, H. Katagiri & L.Xu (Eds.), IAENG Transactions on Engineering Sciences (57-66). Singapore: World Scientific.
Man, Y.K. (2014). Essential Concepts of Geometry. Hong Kong: Hong Kong Educational Publishing Company (ISBN: 978-988-236-065-5).
梁志強、文耀光(2014):《解題+思維:雙向訓練》,香港,教育出版社。
Man, Y.K. (2011). Chinese Mathematics. In Sarah J. Greenwald & Jill E. Thomley (Eds.), The Encyclopedia of Mathematics and Society (Volume I) (184-188). CA: Salem Press.
Yiu-Kwong Man (2011). On partial fraction decomposition of rational functions with irreducible quadratic factors in the denominators. In S.I.Ao, Len Gelman, David Hukins, Andrew Hunter, A.M.Korsunsky (Eds.), Lecture Notes in Engineering and Computer Science, WCE2011 (237-239). London, UK: International Association of Engineers (IAENG).
文耀光(2010):運用古代數學問題與材料作探究式學習,輯於江紹祥、梁志強編,《數學教育的探究學習》研討會論文集,(15-25),香港,教育局課程發展處數學教育組。
文耀光(2009):《數學解題輕鬆學》,香港,中華科技出版社。
Man, Y.K. (2009). Partial Fraction Decomposition by Synthetic Division and Its Applications. In Alexander M. Korsunsky (Eds.), Current Themes in Engineering Science 2008 (71-82). New York: American Institute of Physics.
Yiu-Kwong Man (2009). Solving second order linear differential equations via algebraic invariant curves. In S.Ao, Len Gelman, David Hukins, Andrew Hunter, A.M.Korsunsky (Eds.), Lecture Notes in Engineering and Computer Science, WCE2009 (1040-1042). London, UK: International Association of Engineers (IAENG).
文耀光(2008):《數學的領悟:數學與數學教育文集》,香港,中華科技出版社。
Yiu-Kwong Man (2008). An improved Heaviside approach to partial fraction expansion and its applications. In S.I. Ao, Len Gelman, David Hukins, Andrew Hunter, A. M. Korsunsky (Eds.), Lecture Notes in Engineering and Computer Science, WCE2008 (978-980). London, UK: International Association of Engineers (IAENG).
文耀光、梁志強(2008):《小學數學提升思維訓練冊》(三、四、五、六年級)(2012 重印),香港,教育出版社有限公司。
Man, Y. K. (2007). Computer algebra meets an ancient Egyptian problem. In S. Li, & D. Wong (Eds.), Symbolic Computation and Education (pp.206-217). Singapore: World Scientific.
文耀光(2007):《幾何與度量》,香港,教育出版社有限公司。
文耀光(2007):《數學發展簡史》,香港,教育出版社有限公司。
梁志強、林淑華、潘建強、文耀光及王倩婷(2005):《愉快的解題者》,香港,香港教育學院。
梁志強、林淑華、潘建強、文耀光及王倩婷(2005):《愉快的解題者:思考題集》,香港,香港教育學院。
文耀光、梁興強(2003):《初等數學概念》,香港,香港教育圖書公司。
文耀光、梁志強(2002):數學科的創意教學(一),輯於楊子秋編,《創思教學的理論與實踐》論文集,(141-147),澳門,澳門教育暨青年局。
梁志強、文耀光(2002):數學科的創意教學(二),輯於楊子秋編,《創思教學的理論與實踐》論文集,(149-154),澳門,澳門教育暨青年局。
文耀光、梁志強、吳銳堅(2000):《基礎數學引論》(第三版),香港,香港教育圖書公司。
文耀光、黃德華、盧賢巨(2000):《數學基本原理及應用》,香港,香港教育圖書公司。
Man, Y.K., Ng, Y.K., & Leung, K.S. (1999). Learning Elementary Number Theory with the World Wide Web: A Design of a Homepage on the Internet. In Bradbeer & Ng (Eds.), Current Practice in Multimedia Education (133-139). Hong Kong: The City University of Hong Kong.
江紹祥、文耀光、梁志強(1999):《電腦輔助學習:數學探究》,香港,香港三聯書店。

Journal Publications
Man, Y.K. (2020). Deriving the quadratic formula: A visual approach. Learning and Teaching Mathematics, 29, 28-29.
Man, Y.K. (2020). A simple proof of the area formula for convex quadrilaterals. Learning and Teaching Mathematics, 28, 34-35.
Man, Y.K., & Poon, K.K. (2020). A simple proof of Stewart's Theorem. Learning and Teaching Mathematics, 28, 28-29.
Arenas, J.C., & Man, Y.K. (2020). Academic achievement and life satisfaction of students in Mathematics in positive education intervention. International Journal of Social Sciences and Humanities Invention, 7(4), 5910-5918.
Man, Y.K. (2020). A forward approach for solving linear Diophantine equation. International Journal of Mathematical Education in Science and Technology,(DOI: 10.1080/0020739X.2020.1745915), 51, xx-xx.
Man, Y.K. (2019). An elementary proof of Ptolemy's Theorem. Learning and Teaching Mathematics, 27, 23-25.
Man, Y.K. (2019). On the areas of triangles bounded by non-parallel sides and diagonals of a trapezium. Learning and Teaching Mathematics, 27, 10-11.
Man, Y.K. (2019). Isosceles trapezium with inscribed circle: Further exploration. Learning and Teaching Mathematics, 26, 26-27.
Man, Y.K. (2019). On the Area of an Inscribed Quadrilateral of a Parallelogram. Learning and Teaching Mathematics, 26, 34-35.
Man, Y.K. (2018). A cover up approach to linear homogeneous recurrence relation. Advances in Theoretical and Applied Mathematics, 13(2), 101-105.
Man, Y.K. (2018). A geometric proof of Heron's formula. Learning and Teaching Mathematics, 25, 40-41.
Wilfred Lau, W.F. & Man, Y.K. (2018). Teacher Noticing: Advancing understanding of teaching, learning, policy and practice in mathematics education. EURASIA Journal of Mathematics, Science and Technology Education, 14(11), 1-4.
Man, Y.K. (2018). On computing the inverse of Vandermonde matrix. Advances in Theoretical and Applied Mathematics, 13(1), 15-21.
Man, Y.K. (2018). On the height of a triangle with two known angles and the included side. Learning and Teaching Mathematics, 24, 32-33.
Man, Y.K. (2017). A simple visual proof of two theorems in geometry. Learning and Teaching Mathematics, 23, 30-31.
Man, Y.K. (2017). On duality of sequences of measurable amounts of the jug problem. Advances in Theoretical and Applied Mathematics, 12(2), 91-98.
Man, Y.K. (2017). On partial fraction decompositions by repeated polynomial divisions. International Journal of Mathematical Education in Science and Technology, 48(5), 802-808.
Man, Y.K. (2017). Corrigendum to "On partial fraction decomposition by repeated polynomial divisions", DOI: 10.1080/0020739X.2017.1298750. International Journal of Mathematical Education in Science and Technology, 48, xx-xx.
Man, Y.K. (2016). Finding the greatest common divisor by repeated subtractions. Learning and Teaching Mathematics, No. 21, 22-24.
Man, Y.K. (2016). From counting line segments to counting rectangles. Learning and Teaching Mathematics, 20, 35-37.
Man, Y.K. (2016). On optimal solution of the general two jugs problem. Advances in Theoretical and Applied Mathematics, 11(2), 137-144.
文耀光(2015):有趣的格子乘法,《澳門數學教育》,13,60-61。
Yiu-Kwong Man (2015). On computing the measurable amounts of the two jugs problem. Mathematics in Computer Science, 9, 453-459.
Yiu-Kwong Man (2015). On optimal solutions of a family of two jugs problem. Global Journal of Pure and Applied Mathematics, 11, 3559-3563.
Man, Y.K. (2015). On algorithmic approach to the two jugs problem. Applied Mathematical Sciences, 9(36), 1787-1796.
Man, Y.K. (2014). On the Regiomontanus Angle Maximization Problem. Mathematics Medley, 40(1), 37-41.
Man, Y.K., & Poon, K.K. (2014). Exploring the limits of trigonometric functions: results and reflections from a pilot study. International Journal of Mathematical Education in Science and Technology, 45(2), 214-226.
Poon, K.K. & Man, Y.K. (2013). Dynamic learning approach to studying curve stitching on a unit circle. Teaching Mathematics and Its Applications, 32(4), 223-229.
Man, Y.K. (2013). A Non-heuristic approach to the general two water jugs problem. Journal of Communication and Computer, 10(7), 904-908.
Man, Y.K. (2012). A cover-up approach to partial fractions with linear or irreducible quadratic factors in the denominators. Applied Mathematics and Computation, 219(8), 3855-3862.
Man, Y.K. (2012). Introducing the improved Heaviside approach to partial fraction decomposition to undergraduate students: results and implications from a pilot study. International Journal of Mathematical Education in Science and Technology, 43(7), 911-922.
Man, Y. K. (2012). Computing the partial fraction decompositions of rational functions with irreducible quadratic factors in the denominators. International Journal of Mathematical Education in Science and Technology, 43(6), 784-789.
Man, Y.K. & Allen Leung (2012). Teaching a new method of partial fraction decomposition to senior secondary students: results and analysis from a pilot study. International Journal for Mathematics Teaching and Learning, April, 1-18.
Man, Y.K. (2012). A visual proof of the area of trapezium revisited. Learning and Teaching Mathematics, 12, 19.
Man, Y.K. (2012). Solving the water jugs problem by an integer sequence approach. International Journal of Mathematical Education in Science and Technology, 43(1), 109-113.
Man, Y.K. (2010). On the Liouvillian solution of second-order linear differential equations and algebraic invariant curves. Journal of Physics A: Mathematical and Theoretical, 43 (41), 412001-412006.
Man, Y.K. (2010). Solving the Sailors and the Coconuts Problem via Diagrammatic Approach. Teaching Mathematics and Its Applications, 29(1), 48-52.
Man, Y.K. (2009). A Simple Approach Deriving the Quadratic Formula. Learning & Teaching Mathematics, 7, 34.
Man, Y. K. (2009). An improved Heaviside approach to partial fraction expansion and its applications. International Journal of Mathematical Education in Science and Technology, 40 (6), 808-814.
Man, Y. K. (2009). A study of two-term unit fraction expansions via geometic approach. Teaching Mathematics and Its Applications, 28 (1), 43-47.
Man, Y. K. (2009). On Feynman's Triangle problem and the Routh Theorem. Teaching Mathematics and Its Applications, 28 (1), 16-20.
文耀光(2007):假幣問題及其解法,《數學傳播》,31(4),頁74-77。
Man, Y. K. (2007). A simple proof of the generalized Ceva theorem by the principle of equilibrium. International Journal of Mathematical Education in Science and Technology, 38 (4), 566-569.
文耀光(2007):九章算術的盈不足術,《數學教育》,24,頁18-20。
Man, Y. K. (2007). A simple algorithm for computing partial fraction expansions with multiple poles. International Journal of Mathematical Education in Science and Technology, 38 (2), 247-251.
Man, Y. K. (2007). Introducing computer algebra to school teachers of Mathematics. Teaching Mathematics and its Applications, 26 (1), 23-26.
文耀光(2006):解決雞兔問題的另類思維,《澳門數學教育》,3,頁68。
文耀光(2005):巴比倫數學的光輝及其對教學的啟示,《澳門數學教育》,2,頁67-68。
Man, Y.K. (2004). Modified Golomb Algorithm for Computing Unit Fraction Expansions. International Journal of Mathematical Education in Science and Technology, 35(4), 612-617.
Man, Y.K. (2004). On the sailors and the coconuts problem. EduMath, 18, 63-65.
Man, Y.K. (2004). Reflection: its concepts and applications in geometry. Asia-Pacific Forum on Science Learning and Teaching 亞太科學教育論壇, 5(3), 1-7.
Man, Y.K. (2004). Solving geometry problems via mechanical principles. Asia-Pacific Forum on Science Learning and Teaching 亞太科學教育論壇, 5(2), 1-5.
文耀光、潘建強(2004):生成函數與投信問題的解,《數學傳播》,28(2),頁59-62。
文耀光(2003):Golomb 算法與埃及單位分數,《數學傳播》,27(2),頁24-26。
文耀光(2003):柏拉圖立體的數目,《數學教育期刊》,40,頁100-106。
文耀光、潘建強(2003):有趣的投信問題及其解法,《數學教育》,16,頁61-63。
Man, Y.K., Lo, Y.K. (2002). On computing the volume of sphere in the East and West: A comparative study from the educational perspectives. Hiroshima Journal of Mathematics Education, 10, 1-9.
文耀光(2002):古埃及的單位分數問題,《數學傳播》,26(4),頁52-59。
文耀光(1999):大衍求一術與二元一次不定方程,《數學傳播》,23(3),頁86-92。
Kong, S.C., Man, Y.K. & Leung, C. K. (1998). A Survey of Computer Assisted Learning Materials for Hong Kong Primary Mathematics. EduMath, 7, 5-10.
文耀光、江紹祥(1998):試算表與完全數的探究,《數學傳播》,22(3),頁77-82。
Man, Y.K., & MacCallum, M.A.H. (1997). A Rational Approach to the Prelle-Singer Algorithm. Journal of Symbolic Computation, 24(1), 31-43.
Man, Y.K. (1994). First Integrals of Autonomous Systems of Differential Equations and the Prelle-Singer Procedure. Journal of Physics A: Mathematical and General, 27, L329-332.
Man, Y.K., & Wright, F.J. (1994). Fast Polynomial Dispersion Computation and Its Application to Indefinite Summation. Proceedings of International Symposium on Symbolic and Algebraic Computation, 6, 175-180.
Man, Y.K. (1993). Computing Closed Form Solutions of First Order ODEs Using the Prelle-Singer Procedure. Journal of Symbolic Computation, 16, 423-443.
Man, Y.K. (1993). On Computing Closed Forms for Indefinite Summation. Journal of Symbolic Computation, 16, 355-376.

Conference Papers
Arenas, J. & Man, Y.K. (2020, August). A qualitative study on positive education strategy in teaching Mathematics (Accepted). Oxford Education Research Symposium, Oxford, UK.
Man, Y. K. (2019, November). 常用的數學解難策略. 演講發表於<高效解難策略 - 教師工作坊>,Educational Publishing House, Hong Kong.
Man, Y.K. (2019, July). A top-down approach for solving linear Diophantine equation. Paper presented at the International Conference of Applied and Engineering Mathematics, World Congress of Engineering 2019, London, UK.
Man, Y.K. (2018, July). Using a historical problem in a mathematics problem solving class. Presented at the EUROPEAN Summer University on the History and Epistemology in Mathematics Education (ESU-8), Oslo, Norway.
Man, Y.K. (2018, March). Solving linear homogeneous recurrence relation via the inverse of Vandermonde matrix. Paper presented at the International Conference on Scientific Computing, IMECS, 14-16 March 2018, Hong Kong.
Man, Y.K. (2017, July). On computing the Vandermonde matrix inverse. Paper presented at the International Conference of Applied and Engineering Mathematics, World Congress of Engineering 2017, London, UK.
Man, Y.K. (2017, March). A dynamic geometry approach to the Fagnano's problem. Paper presented at the International Conference on Computer Sciences, IMECS, 15-17 March 2017, Hong Kong.
Man, Y.K. (2016, June). An algorithmic approach to solve the general two jugs problem. Paper presented at the International Conference on Information System and Artificial Intelligence (ISAI) 2016, Hong Kong.
Man, Y.K. (2015, March). Solving the general two water jugs problem via an algorithmic approach. Paper presented at the International Conference on Computer Science, IMECS, 18-20 March 2015, Hong Kong.
Man, Y.K. (2014, July). On the inversion of Vandermonde matrices. Paper presented at the International Conference of Applied and Engineering Mathematics, World Congress of Engineering 2014, London, UK.
Man, Y.K. (2014, June). Heron's Formula and some related exploratory learning activities. Presented at Mathematics Learning and e-Learning in the Twenty-First Century, Hong Kong.
Man, Y.K. (2013, July). An Arithmetic Approach to the General Two Water Jugs Problem. Paper presented at the International Conference of Applied and Engineering Mathematics, World Congress of Engineering 2013, London, UK.
Man, Y.K. (2013, June). Conjecture, Proof and Mathematics Learning. A talk delivered at the Inquiry-based learning in Mathematics and e-Learning in Green and Cloud Computing Environment Seminar, HKIEd, Hong Kong.
文耀光(2013,3):有趣的Heron公式,演講發表於<高中數學教學研討會>,香港。
文耀光(2012,6):一些經典數學遊戲及其相關的數學概念,論文發表於<學校教育的數碼教室與處理學習差異的數學教育>研討會,香港教育學院,香港。
Man, Y.K. (2011, July). On Partial Fracrion Decomposition of Rational Functions with Irreducible Quadratic Factors in the Denominators. Paper presented at the International Conference of Applied and Engineering Mathematics, World Congress on Engineering 2011, London, UK.
文耀光(2011,6):古代數學問題及其對數學教學的啟示,論文發表於發展〈21世紀能力的電子學習、運用評估促進數學的學習〉會議,香港教育學院,香港。
文耀光、梁玉麟(2011,6):一個部分分式展開的新方法:其在教學上的應用與成效,論文發表於香港數學教育會議2011,香港中文大學教育學院,香港。
文耀光(2010,6):運用古代數學問題與材料作探究式學習,Paper presented at the Seminar on Inquiry in Mathematics Education and e-Learning in School Education,Hong Kong。
Man, Y.K. (2009, July). Solving Second Order Linear Differential Equations via Algebraic Invariant Curves. Paper presented at the International Conference of Applied and Engineering Mathematics, World Congress on Engineering 2009, London, UK.
Man, Y. K. (2008, July). An improved Heaviside approach to partial fraction expansion and its applications. Paper presented at the International Conference of Applied and Engineering Mathematics, World Congress on Engineering 2008, London, UK.
Wu, R., Cheng, P. W. D., Leung, C. K. E., & Man, Y. K. (2008, March). The development of assessment rubrics to examine integrative learning in a four year teacher education programme. Paper presented at the 1st East Asian International Symposium on Teacher Education Research - Educational Reform and Teachers, Japan.
Cheng, P. W. D., Leung, C. K. E., Man, Y. K., & Wu, R. J. (2007, December). Conception of pre-service teachers' development of integrative ability. Paper presented at the Conference on Integrated Learning: Research and Classroom Practices, Hong Kong.
Man, Y. K. (2006, October). A study of the area formulas in Jiuzhang Suanshu and its inspirations to Mathematics teaching. Proceedings of the HPM 2004 & ESU4: History and Epistemology in Mathematics Education, Greece.
Man, Y.K. (2006, April). Computer Algebra Meets an Ancient Egyptian Problem. Paper presented at the International Seminar on Symbolic Computation in Education, Beijing, China.
Man, Y.K. (2005, July). Introducing Maple to Elementary Teachers of Mathematics. Paper presented at the International Conference on Applications of Computer Algebra, Nara University, Nara, Japan.
Man, Y.K., Leung, H.K. (2005, May). Teaching Transformational Geometry via Dynamic Geometry software. Paper presented at the International Conference on Education: Redesigning Pedagogy on Research, Policy and Practice, Nanyang Technological University, Singapore.
Leung, H.K., & Man, Y.K. (2004, July). The ancient Chinese Tangram problems and its applications in mathematics teaching. Paper presented at the HPM 2004: History and Epistemology of Mathematics, ICME 10 Satellite Meeting, Uppsala University, Sweden.
文耀光(2004,6):C.a.R. 與小學數學教學,論文發表於香港數學教育會議2004, 香港大學,香港。
Man, Y.K. (2001, June). Design and Implementation of Java and Flash Programs for Teaching and Learning Elementary Number Theory. Paper presented at the Ed-Media Conference 2001, Unversity of Tampere, Finland.
Man, Y.K., & Lo, Y.K. (2000). On Computing the Volume of Sphere in the East and West: A Comparative Study from the Educational Perspectives. Paper presented at the HPM Conference 2000, National Taiwan Normal University, Taipei.
Man, Y.K., & Ng, Y.K. (2000). A Multimedia Courseware for Teaching Mathematics in HKIEd: Implementation and Evaluation. Paper presented at the Science and Technology Education Conference 2000, Hong Kong.
文耀光、梁興強(2000):數學史在數學課堂之應用舉隅,論文發表於香港數學教育會議2000,香港。

All Other Outputs
Man, Y.K. (2018). External Examiner of a PhD thesis. Hong Kong: Hong Kong Baptist University.
Lau, W.F., Man, Y.K. (2017). Guest editor for the special issue on Teacher Noticing, Eurasia Journal of Mathematics, Science and Technology Education . Modestum.
Man, Y.K. (2017). Invited reviewer for the journal called Mathematics and Computer Science.
Man, Y.K. (2017). Examiner of a Doctor of Education Thesis, The Education University of Hong Kong. Hong Kong.
Man, Y.K. (2017). Invited reviewer for the International Journal of Mathematical Education in Science and Technology. Taylor & Francis.
Man, Y.K. (2016). Some Ancient Mathematics Problems and Puzzles: Their Inspirations to Mathematics Teaching. An invited talk at HKUST in June 2016. Hong Kong.
Man, Y.K. (2016). Invited reviewer for the International Journal of Mathematical Education in Science and Technology, Taylor & Francis.
Man, Y.K. (2015). Interesting Magic Squares. Hong Kong: A talk presented at the the seminar on Emerging Practices in E-learning and Mathematics Education.
Man, Y.K. (2015). Invited reviewer for the British Journal of Mathematics and Computer.
Man, Y.K. (2015). On the inversion of Vandermonde matrices. Hong Kong: A talk presented at the departmental seminar.
Man, Y.K. (2015). Invited reviewer for the International Journal of Mathematical Education in Science and Technology. Taylor & Francis.
Man, Y.K. (2015). Mathematics is fun. A talk delivered at Logos Academy in March 2015. Hong Kong.
Man, Y.K. (2014). Invited reviewer of a book chapter to appear in the Handbook of Research on Teaching and Learning of Mathematics. United States: NCTM.
Man, Y.K. (2014). Invited reviewer for the Journal of Applied Mathematics.
Man, Y.K. (2014). Invited reviewer for the Mathematics Educator, Springer-Verlag.
Man, Y.K. (2014). Some Historical Mathematics Problems and their Inspirations to Mathematics Teaching. A talk presented at HKUST in June 2014. Hong Kong.
Man, Y.K. (2014). Invited reviewer for the International Conference of Asia Pacific Educational Research Association (APERA). Hong Kong: APERA.
Man, Y.K. (2014). Invited reviewer for the International Journal of Mathematical Education in Science and Technology.
文耀光(2014):淺談數學解難策略的運用, 載於《數學教學錦囊》第4期,香港,教育出版社。
文耀光 (2014). 解數學非常規題的一些常用策略。發表於<解題+思維雙向訓練>研討會. 香港: 教育出版社.
Man, Y.K. (2014). Invited reviewer for Internal Researh Grant proposals.
Man, Y.K. (2014). Invited reviewer for a Teaching Development Grant proposal.
Man, Y.K. (2013). A Non-heuristic approach to the general two water jugs problem. Hong Kong: MIT, HKIEd.
Man, Y.K. (2013). Invited reviewer for IEEE Transactions on Circuit and Systems I.
Man, Y.K. (2013). Invited reviewer for a Teaching Development Grant proposal.
Man, Y.K. (2013). Invited reviewer for an Internal Research Grant proposal.
Man, Y.K. (2013). Invited reviewer for Applied Mathematics and Computation.
Man, Y.K. (2013). Invited reviewer for Educational Research and Reviews.
文耀光(2011):Invited reviewer for the 45th issue of DATUM (數學教育期刊),香港,香港教育學院數學與資訊科技學系。
Man, Y.K. (2011). Invited reviewer for the International Journal of Mathematical Education in Science and Technology.
Man, Y.K. (2011). Invited reviewer for the Journal of Mathematical Analysis and Applications.
文耀光(2011):促進數學學習的數學遊戲,載於《樂思數學專訊》第二期,香港,樂思教育出版有限公司。
Man, Y. K. (2008). Invited reviewer for Symmetry, Integrability and Geometry: Methods and Applications.
Man, Y. K. (2008). Consultant, New Progress in Junior Mathematics (Books 1A, 1B, 2A, 2B, 3A, & 3B). Hong Kong Educational Publishing.
文耀光(2006):梯形面積公式的推導,香港,培生教育出版社。
Man, Y. K. (2006). Invited reviewer for Asia-Pacific Forum on Science Learning and Teaching, 7(2). Hong Kong.
Man, Y. K. (2005). Invited reviewer for Asia-Pacific Forum on Science Learning and Teaching, 6(2). Hong Kong.
潘建強、文耀光(2005):一題多解練腦筋,香港,明報。

Project

Additional Research Fund
The funding is used for support of research development activities (such as appointment of research support staff or research assistants), teaching development activities and conference attendance (such as registration fee; travel and accommodation expense as a supplement to the existing conference grant).
Project Start Year: 2019, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
Identifying Mathematics Teachers’ Competency in Terms of Their Capacity on Looking at Elementary Mathematics from an Advanced Standpoint
We identify an additional knowledge domain which was originally defined by Felix Klein in the last century. The knowledge might serve as an added condition of sufficiency for effective teaching, delivered by Mathematics teachers – the capability of looking at elementary Mathematics from an advanced standpoint (EMFAS). In this study, we attempt to investigate and identify both fresh and pre-service teachers’ knowledge by applying the technique of EMFAS into their ability by analyzing mathematical . . .
Project Start Year: 2019, Principal Investigator(s): YUEN, Man Wai 阮文威 (MAN, Yiu Kwong 文耀光 as Co-Investigator)
 
On Computing the General Solution of Linear Diophantine Equation
This project is aimed to explore a forward approach for computing the general solution of linear Diophantine equation and study its computational efficiency via implementation in Maple or other common computer algebra systems.
Project Start Year: 2019, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
Additional Research Fund
The funding is used for support of research development activities (such as appointment of research support staff or research assistants), teaching development activities and conference attendance (such as registration fee; travel and accommodation expense as a supplement to the existing conference grant).
Project Start Year: 2018, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
FLASS Top-Up Fund: On the Properties of Measurable Amounts of the General Two Jugs Problem and the Decision Criteria for the Optimal Solution
To further develop the previous GRF proposal for re-submission to RGC in the GRF funding exercise of 2018-19 or 2019-20.
Project Start Year: 2018, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
Additional Research Fund
The funding is used for support of research development activities (such as appointment of research support staff or research assistants), teaching development activities and conference attendance (such as registration fee; travel and accommodation expense as a supplement to the existing conference grant).
Project Start Year: 2017, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
Dean's Research Fund: On Computing the Inverse of Vandermonde Matrix
The Vandermonde matrix has important applications in various areas such as polynomial interpolation, numerical analysis, signal processing, curve fitting, coding theory, statistics and control theory, etc. Since the last decade, the study of more new efficient approaches for computing the inverse of Vandermonde matrix or its generalized version (i.e. confluent Vandermonde matrix) has been an important research topic in many mathematics, engineering and sciences disciplines. Also, the study of it . . .
Project Start Year: 2017, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
Internal Research Grant: On the Properties of Measurable Amounts of the General Two Jugs Problem and the Decision Criteria for the Optimal
To re-submit the previous GRF proposal or prepare another new GRF proposal for the GRF funding exercise of 2018-19 or 2019-20.
Project Start Year: 2017, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
Additional Research Funds
The funding is used for support of research development activities (such as appointment of research support staff or research assistants), teaching development activities and conference attendance (such as registration fee; travel and accommodation expense as a supplement to the existing conference grant).
Project Start Year: 2016, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
On the Inversion of Vandermonde Matrix and Its LU Decomposition
The project aims at studying how to compute the inverse of Vandermonde Matrix effectively via the partial fraction decomposition techniques. Also, we will study how to compute its LU decomposition which can be applied to solve the related problems such as polynomial interpolations, summation of series and control theory, etc.
Project Start Year: 2016, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
Additional Research Fund
The funding is used for support of research development activities (such as appointment of research support staff or research assistants), teaching development activities and conference attendance (such as registration fee; travel and accommodation expense as a supplement to the existing conference grant).
Project Start Year: 2015, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
SRG Project: On computing the measurable amounts of the general two jugs problem
The objectives of this project are: (a) to develop an algorithm to compute all measurable amounts of the general two jugs problem; and (b) to study the properties of the measurable amounts via implementation of the developed algorithm.
Project Start Year: 2015, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
Research Funds allocated to Individual Academic Staff
The funding is used for support of research development activities (such as appointment of research support staff or research assistants), teaching development activities and conference attendance (such as registration fee; travel and accommodation expense as a supplement to the existing conference grant).
Project Start Year: 2014, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
IRG Project: An Improved Heaviside Approach to Partial Fraction Decomposition: Its Implementation and Application in Mathematics and Engineering Education.
This project aims to introduce the improved Heaviside's cover-up technique for finding the partial fraction decompositions of rational functions to the education sectors, as well as to explore its applications in Mathematics and Engineering.
Project Start Year: 2013, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
Research Funds allocated to Individual Academic Staff
The funding is used for support of research development activities (such as appointment of research support staff or research assistants), teaching development activities and conference attendance (such as registration fee; travel and accommodation expense as a supplement to the existing conference grant).
Project Start Year: 2013, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
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
 
Enhancing the relationship between teaching and learning of mathematics and information technology courses
This project aims to: (a) enhance the relationship between teaching and learning of subject courses with concrete examples in the primary or secondary context; (b) develop pedagogy and related teaching and learning materials in mathematics and information technology courses suitable for online learning or e-learning; (c) integrate the end-products of this project to become part of the departmental teaching portfolio.
Project Start Year: 2011, Principal Investigator(s): MAN, Yiu Kwong 文耀光, HO, Kwok Pun Victor 何國斌, KONG, Siu Cheung 江紹祥
 
Research Funds allocated to Individual Academic Staff
The funding is used for support of research development activities (such as appointment of research support staff or research assistants), teaching development activities and conference attendance (such as registration fee; travel and accommodation expense as a supplement to the existing conference grant).
Project Start Year: 2011, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
A New Approach to Partial Fraction Decomposition: A Preliminary Study of Its Applications in Mathematics Education.
This research aims to study the potential applications of a new approach to partial fraction decomposition in upper secondary or undergraduate mathematics education, as well as the responses and feedbacks to such an approach from instructors, teachers and students via try-outs, interviews, questionnaires and quiz.
Project Start Year: 2010, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
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
 
Research Funds allocated to Individual Academic Staff
The funding is used for support of research development activities (such as appointment of research support staff or research assistants), teaching development activities and conference attendance (such as registration fee; travel and accommodation expense as a supplement to the existing conference grant).
Project Start Year: 2010, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
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, Japa . . .
Project Start Year: 2009, Principal Investigator(s): CHENG, Chun Chor Litwin 鄭振初 (MAN, Yiu Kwong 文耀光 as Co-Investigator)
 
Individual Research Fund for Research and Scholarly Activities 2008/09
The funding is used for the expenses in the relation to teaching and learning, and research development activities such as appointment of research support staff or research assistants; general expense related to teaching and research development activities; and conference registration fee; travel and accommodation expense as a supplement to the existing conference grant.
Project Start Year: 2009, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
Research on Mathematics Education
The funding is used for the expenses in relation to research in mathematics education and activities such as appointment of research support or research assistants; general expenses related to teaching and research development activities; and conference registration fee, travel and accommodation expenses as a supplement to the existing conference grant.
Project Start Year: 2007, Principal Investigator(s): MAN, Yiu Kwong 文耀光
 
Assessment for Integrating Learning in Teacher Education
The project seeks to develop a set of integrating assessment tasks and related practices that link student learning across different knowledge and skill domains in each year of the BEd programme. These tasks and practice will serve both to assess students' integration of learning and to encourage such integration.
Project Start Year: 2006, Principal Investigator(s): CHENG Pui Wah Doris (MAN Yiu Kwong as Co-Investigator)
 
The HKIEd Longman Mathematics Day 2006
This project intends to promote HKIEd and the Mathematics Department to senior secondary students, and is achieved through involving these students 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 the normally adopted in their school studies. The project involves a number of strands, which include talks, work . . .
Project Start Year: 2006, Principal Investigator(s): WONG, Tak Wah 黃德華 (MAN, Yiu Kwong 文耀光 as Co-Investigator)
 
Further Development of Complete Teaching and Learning Materials for Mathematics Modules
The Department of Mathematics has noted that students have frequently expressed their concern about the difficulty of learning mathematics, and about the shortage of appropriate learning materials. These concerns have validity because of the differences in focus, depth and orientation between the standard university mathematics curriculum and a curriculum that would be appropriate for the education of primary/junior secondary mathematics teachers. Because of these differences, and the much sma . . .
Project Start Year: 2005, Principal Investigator(s): LAM Suk Wah, Louisa (MAN Yiu Kwong as Co-Investigator)
 
Prizes and awards

Certificate of Merit for the 2017 International Conference of Applied and Engineering Mathematics

Date of receipt: /10/2017, Conferred by: International Association of Engineers
 
Long Service Award

Date of receipt: /2/2016, Conferred by: EdUHK
 
Marquis Who's Who in the World
The 30th Pearl Anniversary edition of Who's Who in the World features biographies of the most accomplished men and women from around the world and across all fields of endeavor. Biographies listed in the previous editions included academics or scholars from local and overseas universities in the various areas, including mathematics, engineering, economics, business and education, etc.
Date of receipt: 31/7/2012, Conferred by: Marquis Who's Who
 
Certificate of Merit - Quality Education Fund Outstanding Project Awards
Dr Leung Chi Keung Eddie and his colleagues have received the Certificate of Merit from the Quality Education Fund for their QEF team project “Promoting Problem-solving Practices among Teachers and Pupils in Primary Mathematics”. Problem solving is widely considered as an important aspect of mathematics. However, problem solving activities were not common in primary classroom before the implementation of this project, which was purposefully developed to meet this need. The project included intensive teacher professional development programme, development and implementation of classroom problem solving activities, and production of high-quality resources. The teachers of the ten participating primary schools reported that there was a gradual positive change in students’ attitude and their ability towards problem solving.
Date of receipt: 31/5/2008, Conferred by: Qualtiy Education Fund