Research Output per year

## Research Outputs

## Emerging from problem solving to modeling: A new approach to mathematics learning inside and outside classrooms

LEUNG, K. C. I., 2017,*Proceedings of the Hong Kong mathematics education conference 2017.*黃家樂 & 李玉潔 (eds.). Hong Kong Association for Mathematics Education, p. 5-15

Research output: Chapter in Book/Report/Conference proceeding › Chapter

## Emerging from problem solving to modeling: A new approach to mathematics learning inside and outside classrooms

LEUNG, K. C. I., Jun 2017.Research output: Contribution to conference › Paper

## Fractionalization of a class of semi-linear differential equations

LEUNG, K. C. I. & GOPALSAMY, K., Nov 2017, In : Applied Mathematics. 8, 11, p. 1715-1744Research output: Contribution to journal › Article

## Preservice and novice teachers’ knowledge on preformal proofs: Triangle postulate as an example

LEUNG, K. C. I. & LEE, C. Y., 2017, In : Mathematics Teacher Education and Development. 19, 2, p. 51-80Research output: Contribution to journal › Article

## A didactic implication of “existence of periodic point of period three implies chaos”

LEUNG, K. C. I., 2016Research output: Other contribution

## The correlation between prospective teachers' knowledge of algebraic inverse operations and teaching competency: Using the square root as an example

LEUNG, K. C. I., DING, L., LEUNG, A. Y. L. & WONG, N. Y., 2016, In : International Journal for Mathematics Teaching and Learning. 17, 3Research output: Contribution to journal › Article

## An investigation of the knowledge competency of prospective mathematics teachers in the perspective of relationship between their subject matter knowledge and non-cognitive factors

LEUNG, K. C. I. & DING, L., Aug 2015, In : Far East Journal of Mathematical Education. 15, 1, p. 63-94Research output: Contribution to journal › Article

## Prospective teachers’ competency in teaching how to compare Geometric figures: The concept of congruent triangles as an example

LEUNG, K. C. I., 2015Research output: Other contribution

## How the knowledge of algebraic operation relates to prospective teachers’ teaching competency: An example of teaching the topic of square root

LEUNG, K. C. I., DING, L., LEUNG, A. Y. L. & WONG, N. Y., Jul 2014.Research output: Contribution to conference › Paper

## How the knowledge of algebraic operation relates to prospective teachers’ teaching competency: An example of teaching the topic of square root

LEUNG, K. C. I., DING, L., LEUNG, A. Y. L. & WONG, N. Y., 2014,*Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education.*LILJEDAHL, P., NICOL, C., OESTERLE, S. & ALLAN, D. (eds.). Québec, Canada: Lebonfon, Vol. 4. p. 97-104

Research output: Chapter in Book/Report/Conference proceeding › Chapter

## Prospective mathematics teachers’ competency on teaching proofs and proving tasks: Proving the constant nature of π as an example

LEUNG, K. C. I., Jun 2014.Research output: Contribution to conference › Paper

## Prospective teachers' competency in teaching how to compare geometric figures: The concept of congruent triangles as an example

LEUNG, K. C. I., DING, L., LEUNG, A. Y. L. & WONG, N. Y., 2014, In : Journal of the Korean Society of Mathematical Education Series D: Research in Mathematics Education. 18, 3, p. 171-185Research output: Contribution to journal › Article

## Prospective teachers’ competency in teaching how to compare geometric figures: The concept of congruent triangles as an example

LEUNG, K. C. I., DING, L., LEUNG, A. Y. L. & WONG, N. Y., Apr 2014.Research output: Contribution to conference › Paper

## Prospective teachers’ understanding of the constant π and their knowledge of how to prove its constant nature through the concept of linearity

LEUNG, K. C. I., May 2014.Research output: Contribution to conference › Paper

## Prospective teachers’ understanding of the constant π and their knowledge of how to prove its constant nature through the concept of linearity

LEUNG, K. C. I., 2014, In : Research in Mathematical Education Korean Society of Mathematical Education Quarterly. 18, 1, p. 1-29Research output: Contribution to journal › Article

## Beyond the modelling process: An example to study the logistic model of customer lifetime value in business marketing

LEUNG, K. C. I., 2013,*Teaching mathematical modelling: Connecting to research and practice.*STILLMAN, G. A., KAISER, G., BLUM, W. & BROWN, J. P. (eds.). Dordrecht: Springer, p. 607-617

Research output: Chapter in Book/Report/Conference proceeding › Chapter

## Competency of prospective Chinese mathematics teachers on mathematical argumentation and proof

LEUNG, K. C. I., WONG, N-Y., SCHWARZ, B., CHEUNG, K. L., CHAN, W. S. & KAISER, G., 2013, In : The Mathematics Educator. 15, 1, p. 81-98Research output: Contribution to journal › Article

## Pre-service teachers’ knowledge about fraction divisions reflected through problem posing

LEUNG, K. C. I. & CARBONE, R. E., 2013, In : The Mathematics Educator. 14, 1, p. 80-92Research output: Contribution to journal › Article

## Prospective teachers' understanding of the constant π and their knowledge of how to prove its constant nature through the concept of linearity

LEUNG, K. C. I., Nov 2013.Research output: Contribution to conference › Paper

## The ability of students and teachers to use counter-examples to justify mathematical propositions: A pilot study in South Korea and Hong Kong

LEUNG, K. C. I. & LEW, H., Mar 2013, In : ZDM: The International Journal on Mathematics Education. 45, 1, p. 91-105Research output: Contribution to journal › Article

## Dynamics of continuous and discrete time siv models of Gonorrhea transmission

LEUNG, K. C. I. & GOPALSAMY, K., 2012, In : Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms. 19, 3, p. 351-375Research output: Contribution to journal › Article

## Emerging from problem solving to modeling through dimensional exchange of the respective illustrative diagrams

LEUNG, K. C. I., 2012.Research output: Contribution to conference › Paper

## The effect of changing dimensions in illustrative examples in enhancing the modeling process

LEUNG, K. C. I., 2012.Research output: Contribution to conference › Paper

## Discrete delays and piecewise constant argument in neuronics

LEUNG, K. C. I., Mar 2011, In : Neural, Parallel & Scientific Computations. 19, 1-2, p. 197-210Research output: Contribution to journal › Article

## Pre service teachers approach to teach the constant concept of π through the concept of linearity

LEUNG, K. C. I., Nov 2011.Research output: Contribution to conference › Paper

## Review of the book Counterexamples in calculus

LEUNG, K. C. I., May 2011, In : ZDM: The International Journal on Mathematics Education. 43, 2, p. 317-320Research output: Contribution to journal › Article

## Stability of a continuous time model

LEUNG, K. C. I. & Gopalsamy, K., Mar 2011, In : Neural, Parallel & Scientific Computations. 19, 1-2, p. 51-64Research output: Contribution to journal › Article

## The logistic nature of customer lifetime value: An example of quantitative marketing model

LEUNG, K. C. I., 2011.Research output: Contribution to conference › Paper

## Comparison on the students' ability of presenting counter examples and prospective teachers' ability of treating counter examples: A pilot study in Korea and Hong Kong

LEUNG, K. C. I., LEW, H. C. & CHEON, T. S., 2010,*In search of excellence in mathematics education: Proceedings: The 5th East Asia Regional conference on mathematics education (EARCOME 5).*SHIMIZU, Y., SEKIGUCHI, Y. & HINO, K. (eds.). Toyko: Japan Society of Mathematical Education, Vol. 2. p. 747-754

Research output: Chapter in Book/Report/Conference proceeding › Chapter

## Comparison on the Students’ Ability of Presenting Counter Examples and Prospective Teachers’ Ability

LEUNG, K. C. I., LEW, H-C. & CHEON, T. S., Aug 2010.Research output: Contribution to conference › Paper

## Teachers' competence in geometrical deductive reasoning

LEUNG, K. C. I., 2010,*Inquiry in mathematics education.*KONG, S. C. & LEUNG, C. K. (eds.). Hong Kong: The Government Logistics Department, p. 85-99

Research output: Chapter in Book/Report/Conference proceeding › Chapter

## Teachers’ Competence in Geometrical Deductive Reasoning

LEUNG, K. C. I., Jun 2010.Research output: Contribution to conference › Paper

## A tandem queuing system with applications to pricing strategy

CHING, W. K., CHOI, S. M., LI, T. & LEUNG, K. C. I., Feb 2009, In : Journal of Industrial and Management Optimization. 5, 1, p. 103-114Research output: Contribution to journal › Article

## Bifurcating periodic solutions in an integrodifferential equation modelling haematopoiesis

LEUNG, K. C. I., 2009, In : Functional Differential Equations. 16, 3, p. 491-515Research output: Contribution to journal › Article

## Cardinality of binary operations: A remark on the ubiquitous sum

LEUNG, K. C. I. & CHING, W. K., Jun 2009, In : Far East Journal of Mathematical Education. 3, 2, p. 127-143Research output: Contribution to journal › Article

## Mathematically deductive reasoning skills on Euclidean Geometry through application of a dynamic geometric tool

LEUNG, K. C. I. & LAI, M. Y. J., 2009Research output: Other contribution

## A stochastic optimization model for consecutive promotion

LEUNG, H. Y., CHING, W. K. & LEUNG, K. C. I., Dec 2008, In : Quality Technology & Quantitative Management. 5, 4, p. 403-414Research output: Contribution to journal › Article

## Content and pedagogical content knowledge in argumentation and proof of future teachers: A Comparative case study in Germany and Hong Kong

CORLEIS, A., SCHWARZ, B., KAISER, G. & LEUNG, K. C. I., Dec 2008, In : ZDM. 40, 5, p. 813-832Research output: Contribution to journal › Article

## Future teachers' professional knowledge on argumentation and proof: A case study from universities in three countries

SCHWARZ, B., LEUNG, K. C. I., BUCHHOLTZ, N., KAISER, G., STILLMAN, G., BROWN, J. & VALE, C., Dec 2008, In : ZDM. 40, 5, p. 791-811Research output: Contribution to journal › Article

## Learning alternate division algorithm in enhancing the concept of rates and density

LEUNG, K. C. I., CHO, P. & WONG, M. F. R., Jul 2008.Research output: Contribution to conference › Paper

## Teaching and learning of inclusive and transitive properties among quadrilaterals by deductive reasoning with the aid of SmartBoard

LEUNG, K. C. I., Dec 2008, In : ZDM. 40, 6, p. 1007-1021Research output: Contribution to journal › Article

## The competence of potential mathematics teachers of Hong Kong: A comparative perspective

LEUNG, K. C. I., WONG, N. Y., CHAN, W. S., CHEUNG, K. L. & HAN, N. S., Jul 2008.Research output: Contribution to conference › Paper

## Identifying quadrilaterals by deductive reasoning: an example of effective teaching using digital whiteboard

LEUNG, K. C. I. & WONG, R. M. F., 2007.Research output: Contribution to conference › Paper

## On the eigenvalue problem -y"+ f(x)y=λy on a semi infinite interval

LEUNG, K. C. I. & SHIVAKUMAR, P. N., Aug 2007, In : Mathematical and Computer Modelling. 46, 3/4, p. 316-330Research output: Contribution to journal › Article

## Departing from the traditional long division algorithm: An experimental study

LEUNG, K. C. I., WONG, R. M. F. & PANG, W. S., Jul 2006.Research output: Contribution to conference › Paper

## Global Hopf-bifurcation in a neural netlet

GOPALSAMY, K., LEUNG, K. C. I. & LIU, P., 15 Aug 1998, In : Applied Mathematics and Computation. 94, 2, p. 171-192Research output: Contribution to journal › Article

## Convergence under dynamical thresholds with delays

GOPALSAMY, K. & LEUNG, K. C. I., Mar 1997, In : IEEE Transactions on Neural Networks. 8, 2, p. 341-348Research output: Contribution to journal › Article

## Delay induced periodicity in a neural netlet of excitation and inhibition

GOPALSAMY, K. & LEUNG, K. C. I., Jan 1996, In : Physica D: Nonlinear Phenomena. 89, 3-4, p. 395-426Research output: Contribution to journal › Article