# Publications

## Publications of Mathematics in 2018

**Books**

- Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2018).
*Singapore Mathematical Olympiads 2018*(PP. 56). Singapore: Singapore Mathematical Society.

Conference Papers without proceedings

- Dong, F.M., Ge, J., Gong, H.L., Ning B., Ouyang, Z.D. & Tay, T.G., (2018, June).
*Proof of Lundow and Markström’s conjecture on chromatic polynomials via novel inequalities*. Paper presented at Workshop on Graphs and Knots, Xiamen, China. - Dong, F.M, (2018, Oct), The applications of graph theory, International Conference on Mathematics and Natural sciences, Bali, Indonesia.
- Kim, B., & Toh, P. C. (2018, June).
*On the crank function of cubic partition pairs*. Paper presented at Combinatory Analysis 2018, State College, Pennsylvania, United States. - Toh, P. C., Zhu, Y., & Toh, T. L. (2018, November).
*Mathematics Undergraduates Understanding of Calculus*. Paper presented at 11th International Conference on Mathematics and Mathematics Education in Developing Countries, Vientiane, Laos. - Zhu,Y. (2018, May).
*Selected Topics on Ideas of Statistics.*. Paper presented at The Mathematics Teachers Conference 2018 (Big Ideas in Mathematics), Singapore. - Zhu,Y., Zou,L., Tan,T.L.,& Cheang W.K. (2018, June).
*A clustering group lasso method for authentication of medicinal oil using Fourier transform infrared spectroscopy.*. Paper presented at The 5th Asian Near Infrared Symposium, Kunming, China. - Zhu,Y. (2018, June).
*A regularized model-based clustering method for image classification.*. Paper presented at The 2nd International Conference on Econometrics and Statistics (EcoSta 2018), Hong Kong, Hong Kong (China).

Journal Articles

- Andrad, C. Shen, W. K. Ho and D. Zhao,
*A New Convergence Inducing the SI-Topology*,*Filomat*, 32(2018), 17: 6017–6029 - Deng Q.Y., Jin X.A, Dong F.M. & Tay E.G. (2018). Even subgraph expansions for the flow polynomial of planar graphs with maximum degree at most 4.
*Electronic Journal of Combinatorics, 25*(2), #P2.7. - Dong, F.M., Ho, W.K., & Zhao, D.S. (2018). A Study on Rank Commutators of Special Families of Matrices.
*Southeast Asian Bulletin of Mathematics, 42*, 15-30. - Dong, F.M. (2018). From G-parking functions to B-parking functions.
*Combin. Theory Ser. A, 160*, 84-110. - M. Dong (2018). On graphs whose flow polynomials have real roots only.
*Electronic Journal of Combinatorics, 25*(3), #P3.26. - Ho, W. K., Goubault-Larrecq, J.; Jung, A., & Xi, X. (2018). The Ho-Zhao Problem.
*Logical Methods in Computer Science, 14*(1:7), 1-19. - Ho, T. P. N., & P. C. Toh (2018). A general transformation for theta series associated with the quadratic form x^2+ky^2.
*The Ramanujan Journal, 45*(3), 695-717. - Isnaini, U., & Toh, P. C. (2018). On some congruences for Andrews' singular overpartitions.
*INTEGERS: The Electronic Journal of Combinatorial Number Theory, 18*, #A5. - Kim, B., & Toh, P. C. (2018). On the crank function of cubic partition pairs.
*Annals of Combinatorics, 22*(4), 803-818. - Ng, W. L., & Lee, P. Y. (2018). An Alternative Definition of the Henstock-Kurzweil Integral Using Primitives.
*New Zealand Journal of Mathematics, 48*, 121-128. - Zhao and L. Xu,
*Uniqueness of directed complete posets based on Scott closed set lattices*,*Logical Method in Computer Science*, 14(2;10)(2018), pp 1-12. - Zhao and X. Xi,
__Spaces that have a bounded complete dcpo model____,__*Rocky Mountain Journal of Math*. 48(2018), 1: 141-156. - Zhao and X. Xi,
__Directed complete poset models of T__,_{1 }spaces*Math. Proc. Cambridge Phil. Soc*. 164 (2018), 125 –134. - Zhu, Y., Fearn, T., Chicken, D.W., Austwick, M.R., Somasundaram, S.K., Mosse, C.A., Clark, B., Bigio, I.J., Keshtgar, M.R.S., & Bown, S.G. (2018). Elastic scattering spectroscopy for early detection of breast cancer: partially supervised Bayesian image classification of scanned sentinel lymph nodes.
*Journal of Biomedical Optics, 23*(8), 085004-1-9.

Keynote Addresses

- Dong, F.M. (2018, October).
*The 5th International Conference on Mathematics, Science, and Education (ICMSE 2018), Oct 8-9, 2018.*. KEYNOTE ADDRESS, Applications of Graph Theory, Bali, Indonesia. - Toh, P. C. (2018, November).
*11th International Conference on Mathematics and Mathematics Education in Developing Countries*. KEYNOTE ADDRESS, The Magic of Number Theory and Its Greatest Magician, Vientiane, Laos.

## Publications of Mathematics Education in 2018

**Book Chapters**

- Cheng, L. P., Ng, S. F., Tan, B. K. Jasmine Susie, & Ng, E. N. (2018). Designing and Implementing Activities in the Flipped Classroom in the Singapore Primary Mathematics Classroom. In Toh, P. C., & Chua, B. L. (Eds.),
*Mathematics Instruction: Goals, Tasks and Activities*(pp. 159-177). Singapore: World Scientific. - Choy, B. H. (2018). From Task to Activity: noticing affordances, design, and orchestration. In Toh, P. C., & Chua, B. L. (Eds.),
*Mathematics instruction: goals, tasks, and activities*(PP. 11-31). Singapore: World Scientific. - Chua, B. L., & Toh, P. C. (2018). Tasks and activities in the mathematics classroom. In Toh, P. C., & Chua, B. L. (Eds.),
*Mathematics Instruction: Goals, Tasks and Activities*(PP. 1 - 9). Singapore: World Scientific. - Dindyal, J. (2018). Affordances of typical problems. In Toh, P. C., & Chua, B. L. (Eds.),
*Mathematics instruction: Goals, tasks and activities*(PP. 33-48). Singapore: World Scientific. - Jiang, C., & Chua, B. L. (2018). Integrating problem posing into mathematical problem solving: An experimental study. In Toh, P. C., & Chua, B. L. (Eds.),
*Mathematics Instruction: Goals, Tasks and Activities*(PP. 211- 227). Singapore: World Scientific. - Kapur, M., Lee, N.H., & Lee, P.C.J. (2018). Eliciting and building upon student-generated solutions: Evidence from Productive Failure. In Manalo, E., Uesaka, Y., & Chinn, C.A. (Eds.),
*Promoting Spontaneous Use of Learning and Reasoning Strategies*(PP. 13-30). Oxon: Routledge. - Kaur, B., Wong, L. F., & Chew C.K. (2018). Mathematical tasks enacted by two competent teachers to facilitate the learning of vectors by grade 10 students. In Toh, P.C. & Chua, B.L. (Eds.),
*Mathematics instruction: Goals, tasks and activities*(pp. 49-66). Singapore: World Scientific. - Lee, N. H., Ng, K. E. D., Seto, C., & Loh, M. Y. (2018). Potentials and challenges in examining teachers metacognitive instructional strategies using video technology. In Xu, L. H., Aranda, G., Widjaja, W., & Clarke, D. (Eds.),
*Video-based research in education: Cross-disciplinary perspectives*(PP. 50-65). London: Routledge. - Ng, S. F. (2018). Function tasks, input, output and the predictive rule:How some Singapore children construct the rule. In Kieran, C. (Ed.),
*Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds The Global Evolution of an Emerging Field of Research and Practice.*(PP. 167 - 193). Cham: Springer. - Novotna, J., Bartolini Bussi,M.G., Beckmann, S., Inprasitha, M., Kaur, B., Sun, X.H., Venkat, H. & Askew, M. (2018). Professional development models for whole number arithmetic in primary mathematics teacher education. In Bartolini Bussi, M.G., Sun, X.H. (Ed.), Building the foundation: Whole number in the primary grades (pp. 399-435). Cham: Springer Open.
- Novotna, J., Kaur, B., Gervasoni, A., Askew, M., Veldhuis, M., Pearn, C. & Sun, X.H. (2018). How to teach and assess whole number arithmetic: Some international perspectives. In Bartolini Bussi,M.G. & Sun, X.H. (Eds.),
*Building the foundation: Whole numbers in the primary grades*(pp. 251-286). Cham: Springer Open.

**Books**

- Ang, K. C. (2018).
*Mathematical Modelling for Teachers: Resources, Pedagogy and Practice*(PP. 172). London: Routledge, Taylor & Francis. - Edge, D., Lee, N.H., & Koay, P.L. (2018).
*Maths Works Teacher's Planning Guide*(PP. 232). Singapore: Marshall Cavendish Education. - Edge, D., Koay, P.L, & Lee, N.H. (2018).
*Maths Works Teacher's Planning Guide 6A*(PP. 347). Singapore: Marshall Cavendish Education. - Edge, D., Koay, P.L, & Lee, N.H. (2018).
*Maths Works Textbook 6A*(PP. 124). Singapore: Marshall Cavendish Education. - Edge, D., Koay, P.L, & Lee, N.H. (2018).
*Maths Works Textbook 6B*(PP. 84). Singapore: Marshall Cavendish Education. - Edge, D., Koay, P.L, & Lee, N.H. (2018).
*Maths Works Workbook 6A*(PP. 146). Singapore: Marshall Cavendish Education. - Edge, D., Koay, P.L., & Lee, N.H. (2018).
*Maths Works Workbook 6B*(PP. 106). Singapore: Marshall Cavendish Education. - Lee, N.H., Koay, P.L., Collars, C., Ong, B.L., & Tan, C.S. (2018).
*Shaping Maths Activity Book 6A*(PP. 210). Singapore: Marshall Cavendish Education. - Lee, N.H., Koay, P.L., Collars, C., Ong, B.L., & Tan, C.S. (2018).
*Shaping Maths Activity Book 6B*(PP. 122). Singapore: Marshall Cavendish Education. - Lee, N.H., Koay, P.L., Collars, C., Ong, B.L., & Tan, C.S. (2018).
*Shaping Maths Coursebook 6A*(PP. 152). Singapore: Marshall Cavendish Education. - Lee, N.H., Koay, P.L., Collars, C., Ong, B.L., & Tan, C.S. (2018).
*Shaping Maths Coursebook 6B*(PP. 97). Singapore: Marshall Cavendish Education. - Lee, N.H., & Koay, P.L. (2018).
*Shaping Maths Teacher's Planning Guide 6B*(PP. 267). Singapore: Marshall Cavendish Education. - Lee, N.H., & Koay, P.L. (2018).
*Shaping Maths Teacher's Planning guide 6A*(PP. 429). Singapore: Marshall Cavendish Education. - Toh, P. C., & Chua, B. L. (Eds.). (2018).
*Mathematics Instruction: Goals, Tasks and Activities*(PP. 279). Singapore: World Scientific. - Yeo, J. B. W., Choy, B. H., Ng, K. E. D., & Ho, W. K. (2018).
*Problems in real-world contexts: Principles of design and implementation*(PP. 112). Singapore: Shinglee. - Yeo, J. B. W., Choy, B. H., Ng, K. E. D., & Ho, W. K. (2018).
*Problems in real-world contexts: Principles of design and implementation*(PP. 112). Singapore: Shinglee.

Conference Papers published in proceedings

- Choy, B. H., & Dindyal, J. (2018, July). Orchestrating Mathematics Lessons: Beyond the Use of a Single Rich Task. In Hunter, J., Perger, P., & Darragh, L. (Eds.),
*Making waves, opening spaces(Proceedings of the 41st annual conference of the Mathematics Education Research Group of Australasia), 1*, 234-241. - Choy, B. H., & Dindyal, J. (2018, July). Orchestrating Mathematics Lessons: Beyond the Use of a Single Rich Task. In Hunter, J., Perger, P., & Darragh, L. (Eds.),
*Making waves, opening spaces(Proceedings of the 41st annual conference of the Mathematics Education Research Group of Australasia), 1*, 234-241. - Ivars, P., Fernández, C., Llinares, S, & Choy, B. H. (2018, July). Enhancing teacher noticing using a hypothetical learning trajectory. In E. Bergqvist, M. Österholm, C. Granberg, & L. Sumpter (Eds.),
*Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education, 3*, 147-154. - Kaur, B. (2018). Students' voice: Perspectives of how their teachers facilitate learning of mathematics. In Hsieh, F-J. (Ed.)
*Proceedings of the 8th ICMI-East Asia Regional Conference on Mathematics Education*(pp. 73-82). Taipei, Taiwan: Taiwan Association for Mathematics Education. - Wijaya, T.O. & Kaur, B. (2018). A study of grade 10 Indonesian mathematics textbooks. In Hsieh, F-J. (Ed.)
*Proceedings of the 8th ICMI-East Asia Regional Conference on Mathematics Education*(pp. 413-424). Taipei, Taiwan: Taiwan Association for Mathematics Educators. - Wong, L.F. & Kaur, B. (2018). Developing in-service mathematics teacher practice through a collaborative and reflective approach. In Hsieh, F-J. (Ed.)
*Proceedings of the 8th ICMI-East Asia Regional Conference on Mathematics Education*(pp. 413-424). Taipei, Taiwan: Taiwan Association of Mathematics Education.

Conference Papers without proceedings

- Choy, B. H., & Dindyal, J. (2018, June).
*Connections in the teaching of mathematics*. Paper presented at 41st Annual Conference of the Mathematics Education Research Group of Australasia, Auckland, New Zealand. - Choy, B. H., & Dindyal, J. (2018, June).
*The mathematical content in the planning of an experienced teacher*. Paper presented at 41st Annual Conference of the Mathematics Education Research Group of Australasia, Auckland, New Zealand. - Lee, N.H. (2018, March).
*The teaching of mathematics in Singapore - Problem Solving and Conceptual Understanding*. Paper presented at Success Stories - The reasons behind the outstanding school performance in top-ranked countries (An International Seminar organised by the Permanent Delegation of Argentina to UNESCO), Paris, France. - Lee, N.H. (2018, March).
*Pedagogical Principles for Effective Teaching of Mathematics - A Singapore Perspective*. Paper presented at Mathematics Learning for the 21st Century, Lyon, France. - Lee, N.H., Neagoy, M., Hunault, O., & Dias, Thierry (2018, March).
*Round Table: Problem Solving at the Heart of Mathematics Teaching*. Paper presented at Mathematics Learning for the 21st Century, Lyon, France. - Ng, K. E. D. (2018, November).
*A constructivist approach to the teaching of arc lengths, sector areas and radian measures*. Paper presented at Educational Research Association Singapore and Asia-Pacific Educational Research Association Conference 2018, Singapore. - Ng, W. L. (2018, December).
*Use of Graphing Calculators in Teaching, Learning and Assessment in the Pre-University Mathematics Curriculum in Singapore*. Paper presented at International Conference on Mathematical Sciences and Technology 2018, Penang, Malaysia. - Toh, P. C., Zhu, Y., & Toh, T. L. (2018, November).
*Mathematics Undergraduates Understanding of Calculus*. Paper presented at 11th International Conference on Mathematics and Mathematics Education in Developing Countries, Vientiane, Laos.

Journal Articles

- Choy, B. H., & Dindyal J. (2018). An approach to teach with variations: using typical problems.
*Avances de Investigación en Educación Matemática(AIEM), 13*, 21-38. - Dindyal, J., & Clivaz, S. (2018). Un aperçu du curriculum de mathématiques à Singapour.
*Grand N, 102*, 41-55. - Ivars, P., Fernández, C., Llinares, S., & Choy, B. H. (2018). Enhancing noticing: using a hypothetical learning trajectory to improve pre-service primary teachers professional discourse.
*Eurasia Journal of Mathematics, Science and Technology Education, 14*(11), 1-16. - Kaur, B., Tay, E.G. Toh, T.L., Leong, Y.H. & Lee, N.H. (2018). A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools.
*Mathematics Education Research Journal, 30*(1), 103-116. - Lee, K., Ng, S. F., & Bull, R. (2018). Learning and solving algebra word problems: The roles of relational skills, arithmetic, and executive functioning..
*Developmental Psychology, X*, xxx-xxx. - Ng, K. E. D. (2018). Towards a professional development framework for mathematical modelling: The case of Singapore Teachers.
*ZDM - International Journal on Mathematics Education, 50*(2), 287300. - Yoon, C., Chin, S. L., Moala, J. G., & Choy, B. H. (2018). Entering into dialogue about the mathematical value of contextual mathematising tasks.
*Mathematics Education Research Journal, 30*(1), 21-38.

Keynote Addresses

- Chua, B. L. (2018, May).
*Mathematics Teachers Conference 2018*. KEYNOTE ADDRESS, Deconstructing big ideas: Perspectives and way forward, Singapore. - Chua, B. L. (2018, July).
*Academy of Singapore Teachers' Mathematics Learning Day 2018*. KEYNOTE ADDRESS, Enhancing Learning Experiences with Mathematical Justification, Singapore. - Dindyal, J.(2018, NOV).
*Productive teacher noticing and the use of typical problems in the teaching of mathematics*. Keynote Address, 5th International Symposium on Mathematics Education and Innovation (ISMEI), Yogyakarta, Indonesia. - Kaur, B.(2018, NOV).
*Mathematics teachers working and learning collaboratively in communities of practice*. Keynote Address, Science and Mathematics International Conference (SMIC) 2018, Jakarta, Indonesia. - Kaur, B.(2018, MAY).
*Preparing mathematically literate future ready citizens*. Keynote Address, 2018 The Tenth International Conference on Technology and Mathematics Education, Taipei, Taiwan. - Kaur, B.(2018, APR).
*How the mastery approach works in Singapore - What can the UK mathematics teachers adopt or adapt?*. Keynote Address, 9th British Congress of Mathematics Education, Warwick, United Kingdom. - Kaur, B.(2018, MAY).
*Students' voice: Perspectives of how their teachers facilitate learning of mathematics*. Keynote Address, 8th ICMI-East Asia Regional Conference on Mathematics Education, Taipei, Taiwan. - Lee, N.H. (2018, September).
*Mathematics Educators Conference*. KEYNOTE ADDRESS, Overview of Singapore Mathematics Curriculum, San Juan, Argentina. - Lee, N.H. (2018, September).
*Mathematics Educators Conference*. KEYNOTE ADDRESS, Professional Development of Singapore Mathematics Teachers, San Juan, Argentina. - Lee, N.H. (2018, September).
*Mathematics Educators Conference*. KEYNOTE ADDRESS, Developments in Singapore Mathematics Curriculum - Issues and Responses, San Juan, Argentina. - Lee, N.H. (2018, September).
*Mathematics Educators Conference*. KEYNOTE ADDRESS, Problem Solving and the Bar Model Approach, San Juan, Argentina. - Lee, N.H. (2018, August).
*Metacognition in Secondary Mathematics*. KEYNOTE ADDRESS, Metacognition & The Mathematics Classroom: An Overview of 'What', 'Why', & 'How', Singapore.

## Publications of Mathematics in 2017

**Books**

- Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2017).
*Singapore Mathematical Olympiads 2017*(PP. 59). Singapore: Singapore Mathematical Society. - Ng, W. L. (2017).
*Nonabsolute Integration on Measure Spaces*. Singapore: World Scientific.

Conference Papers without proceedings

- Dong, F.M. (2017, May).
*Uniquely restricted matchings and an extension of G-parking functions*. Paper presented at The Ninth Shanghai Conference on Combinatorics (9SHCC), Shanghai, China. - Dong, F.M. (2017, May).
*Chromatic polynomials of hypergraphs*. Paper presented at The National Conference on Combinatorics, Taipei, Taiwan. - Dong, F.M. (2017, September).
*Research triggered by 4CC*. Paper presented at The 8^{th}Singapore Mathematical Society symposium, Singapore. - Dong, F.M. (2017, December).
*From G-parking functions to B-parking functions*. Paper presented at The third conference of Combinatorics and Graph Theory at Hunan University, Changsha, China. - Zhu, Y., Tan, T.L., & Cheang, W.K. (2017, September).
*Feature selection and classification for detection of Chinese herbal medicine using FTIR spectroscopy*. Paper presented at The 2017 JCNIRS and TAMRDC Joint NIR symposium in Taiwan, Taipei, Taiwan. - Zhu,Y.,Tan,T.L.,& Cheang,W.K. (2017, June).
*Regularized classification with its application to biomedical spectroscopic data*. Paper presented at The 1st International Conference on Econometrics and Statistics (EcoSta 2017), Hong Kong, Hong Kong (China). - Zhu,Y. (2017, December).
*A group lasso-based method with its application to biomedical spectroscopic data*. Paper presented at The 10th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics 2017), London, United Kingdom.

Journal Articles

- Dong F.M., &Yan W.G. (2017). Expression for the Number of Spanning Trees of Line Graphs of Arbitrary Connected
Graphs.
*Journal of Graph Theory, 85*, 74-93. - Ho, W. K. (2017). Characterising E-projectives via Comonads.
*Mathematical Structures in Computer Science, 27*(4), 491-506. - Xi, X., Liu, H., Ho, W.K., & Zhao, D. (2017). Maximal
Classes of Spaces and Domains Determined by Topologies on Function spaces of Domains.
*Topology and its applications, 222*, 278-292. - Ng, K. M., & Ho, W. K.* (2017). Yoneda Completion via
a DCPO Completion of its Poset of Formal Balls.
*Electronic Notes in Theoretical Computer Science, 333*, 103-121. - Shutler, P. M. E. (2017). A Symbolical Approach to Negative
Numbers.
*The Mathematics Enthusiast, 14*(1-3), 207-240. - Wang Y.N., Xing, R.D., Zhou B., & Dong F.M. (2017).
A note on distance spectral radius of
trees.
*Special Matrices, 5*, 296-300. - X. Zhang, &F.M. Dong (2017). Properties of chromatic polynomials of hypergraphs not held for chromatic polynomials
of graphs.
*European Journal of Combinatorics, 64*, 138-151. - Zhu,Y., Tan,T.L., & Cheang,W.K. (2017). Penalized logistic
regression for classification and feature selection with its application to detection
of two official species of Ganoderma.
*Chemometrics and Intelligent Laboratory Systems, 171*, 55-64. - Zhu,Y. (2017). Functional Data Analysis of Spectroscopic
Data with Application to Classification of Colon Polyps.
*American Journal of Analytical Chemistry, 8*, 294-305.

Keynote Addresses

- Dong, F.M. (2017, December).
*The third conference of Combinatorics and Graph Theory at Hunan University*. KEYNOTE ADDRESS, From G-parking functions to B-parking functions, Changsha, China, China. - Dong F.M. (2017, September).
*Singapore Mathematical Society Symposium 2017*. KEYNOTE ADDRESS, Research triggered by 4CC, Singapore. - Dong, F.M. (2017, May).
*International Conferences in Combinatorics*. KEYNOTE ADDRESS, Chromatic polynomials of Hypergraphs, Taipei, Taiwan.

## Publications of Mathematics Education in 2017

**Book Chapters**

- Chan, C. M. E., Vapumarican, R., Oh, K. V., Liu, H. T.,
& Seah, Y. H. S. (2017). Empowering Students’ Mathematics Learning Through
Mathematical Modelling. In B. Kaur & N. H. Lee (Eds).
*Empowering Mathematics Learners: Yearbook 2017 Association of Mathematics Educators*(pp.355-375)*.*Singapore: World Scientific. - Cheng, L. P., & Teong, Y. X. T. (2017). Developing Self-Regulated
Learners in the Primary Mathematics Classroom. In Kaur, B., & Lee, N. H. (Eds.),
*Empowering Mathematics Learners*(PP. 333-354). Singapore: World Scientific. - Choy, B. H., Thomas, M.O.J., & Yoon, C. (2017). The
FOCUS Framework: Characterising Productive Noticing during Planning, Delivery and
Review. In Schack, E. O., Fisher, M., & Wilhelm, J. (Eds.),
*Teacher Noticing: Bridging and Broadening Perspectives, Contexts, and Frameworks*(PP. 445-466). New York: Springer. - Chua, B. L. (2017). Empowering learning in an algebra class:
The case of expansion and factorisation. In Kaur, B.,& Lee, N. H. (Eds.),
*Empowering Mathematics Learners*(PP. 9 - 29). Singapore: World Scientific. - Chua, B. L. (2017). Harry Potter and The Coding of Secrets
[Lesson Plan]. In Thiessen, D. (Ed.),
*Exploring Math through Literature, Pre-K-8 [online product]*(PP. 31 - 42). Reston, VA: National Council of Teachers of Mathematics. - Kaur, B., & Lee, N.H. (2017). Empowering Mathematics
Learners. In Kaur, B., & Lee, N.H. (Eds.),
*Empowering Mathematics Learners*(PP. 1-8). Singapore: World Scientific. - Lee, M. Y., & Choy, B. H. (2017). Mathematical Teacher
Noticing: The Key to Learning from Lesson Study. In Schack, E. O., Fisher, M., &
Wilhelm, F. (Eds.),
*Teacher Noticing: Bridging and Broadening Perspectives, Contexts, and Frameworks*(PP. 121-140). New York: Springer. - Loh, M.Y., & Lee, N.H. (2017). Empowering Mathematics
Learners with Metacognitive Strategies in Problem Solving. In Kaur, B., & Lee,
N.H. (Eds.),
*Empowering Mathematics Learners*(PP. 165-182). Singapore: World Scientific. - Ng, K.E.D. (2017). Empowering teachers to use open-ended
real-World tasks in primary mathematics classrooms. In Kaur, B., & Lee, N. H.
(Eds.),
*Empowering mathematics learners: Yearbook of Association of Mathematics Educators*(PP. 271-294). Singapore: World Scientific Publishing Co. Pte. Ltd.. - Tay, E. G., Lim, S. K., Ho, W. K., & Toh, T. L. (2017).
Preparing mathematics teachers in Singapore Mathematics Content Knowledge. In Tan,
O. S., Liu, W. C., Low, E. L. (Ed.),
*Teacher Education in the 21st Century: Singapore's Evolution and Innovation*(PP. 107-132). Singapore: Springer. - Tay, E.G. (2017). Science and Mathematics education. In
Tan, O. S., Low, E. L., & Hung, D. (Eds.),
*Lee Kuan Yew's educational legacy: The challenges of success*(PP. 79-88). Singapore: Springer. - Tay, E. G., Lim, S. K., Ho, W. K., & Toh, T. L. (2017).
Preparing mathematics teachers in Singapore Mathematics Content Knowledge. In Tan,
O. S., Liu, W. C., Low, E. L. (Ed.),
*Teacher Education in the 21st Century: Singapore's Evolution and Innovation*(pp. 107-132). Singapore: Springer. - Yap, R.A., Toh, T.L, Tay, E.G, Quek, K.S., Toh, P.C., Teo,
K.M., & Leong, Y.H. (2017). Students' perceptions about an Undergraduate mathematics
problem solving course. In Stein, M. (Ed.),
*A life time for mathematics education and problem solving*(pp. 242 - 260). Borsdorf: WTM Verlag.

**Books**

- Edge, D., Lee, N.H., & Koay, P.L. (2017).
*Maths Works Teacher's Planning Guide 5B*(PP. 452). Singapore: Marshall Cavendish Education. - Edge, D., Lee, N.H., & Koay, P.L. (2017).
*Maths Works Textbook 5A*(PP. 148). Singapore: Marshall Cavendish Education Pte Ltd. - Edge, D., Lee, N.H., & Koay, P.L. (2017).
*Maths Works Textbook 5B*(PP. 148). Singapore: Marshall Cavendish Education Pte Ltd. - Edge, D., Lee, N.H., & Koay, P.L. (2017).
*Maths Works Workbook 5A*(PP. 210). Singapore: Marshall Cavendish Education Pte Ltd. - Edge, D., Lee, N.H., & Koay, P.L. (2017).
*Maths Works Workbook 5B*(PP. 202). Singapore: Marshall Cavendish Pte Ltd. - Kaur, B. & Lee, N.H. (Eds.). (2017).
*Empowering Mathematics Learners*(PP. 386). Singapore: World Scientific. - Kaur, B., Kwon, O.N., & Leong, Y.H. (Eds.). (2017).
*Professional Development of Mathematics Teachers: An Asian Perspective*(PP. 239). Singapore: Springer. - Lee, N.H., Koay, P.L., Collars, C., Ong, B.L., & Tan,
C.S. (2017).
*Shaping Maths Activity Book 5A*(PP. 202). Singapore: Marshall Cavendish Education Pte Ltd. - Lee, N.H., Koay, P.L., Collars, C., Ong, B.L., & Tan,
C.S. (2017).
*Shaping Maths Activity Book 5B*(PP. 218). Singapore: Marshall Cavendish Education Pte Ltd. - Lee, N.H., Koay, P.L., Collars, C., Ong, B.L., & Tan,
C.S. (2017).
*Shaping Maths Coursebook 5A*(PP. 137). Singapore: Marshall Cavendish Education Pte Ltd. - Lee, N.H., Koay, P.L., Collars, C., Ong, B.L., & Tan,
C.S. (2017).
*Shaping Maths Coursebook 5B*(PP. 152). Singapore: Marshall Cavendish Education Pte Ltd. - Lee, N.H., & Koay, P.L. (2017).
*Shaping Maths Teacher's Planning Guide 5A*(PP. 413). Singapore: Marshall Cavendish Education Pte Ltd. - Lee, N.H., & Koay, P.L. (2017).
*Shaping Maths Teacher's Planning Guide 5B*(PP. 492). Singapore: Marshall Cavendish Education. - Ng, W. L. (2017).
*Nonabsolute Integration on Measure Spaces*(PP. 228). Singapore: World Scientific. - >Ng, W. L. (2017).
*Problem Solving Heuristics for Primary School Mathematics: A Comprehensive Guide*(PP. 180). Singapore: Pearson Education South Asia Pte Ltd. - Ng, W. L. (2017).
*Problem Solving Heuristics for Primary School Mathematics: A Comprehensive Guide*(2nd ed.). Singapore: Pearson Education. - Chan, C. M. E. (2017).
*Targeting Mathematics 5A*(PP. 174). Singapore: Star Publishing Pte Ltd. - Chan, C. M. E. (2017).
*Targeting Mathematics 5B*(PP. 158). Singapore: Star Publishing Pte Ltd. - Kaur, B., & Lee, N.H. (Eds.). (2017).
*Empowering Mathematics Learners*(PP. 386). Singapore: World Scientific.. - Edge, D., Lee, N.H., & Koay, P.L. (2017).
*Maths Works Teacher's Planning Guide 5A*(PP. 460). Singapore: Marshall Cavendish Education Pte Ltd.

Conference Papers published in proceedings

- Choy, B. H., & DINDYAL, J. (2017, July). Looking Inside
the Black Box of Mathematics Teacher Noticing. In Downton, A., Livy, S., & Hall,
J. (Eds.),
*40 years on: We are still learning! Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia, 1*, 691. - Choy, B. H., & Dindyal, J. (2017, July). Noticing affordances
of a typical problem. In Kaur, B., Ho, W.K., Toh, T.L., & Choy, B.H. (Eds.),
*Proceedings of the 41st Conference of the International Group for the Psychology of Mathematics Education, 2*, 249-256. - Choy, B. H., Dindyal, J. (2017, July). Snapshots of Productive
Noticing: Orchestrating Learning Experiences Using Typical Problems. In Downton,
A., Livy, S., & Hall, J. (Eds.),
*40 years on: We are still learning! Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia, 1*, 157-164. - Choy, B. H., & Dindyal, J. (2017, December). An approach
to use typical problems: harnessing variations. In Kim, D-J., Shin, J., Park, J.,
& Kang, H. (Eds.),
*2017 International Conference of Joint Societies for Mathematics Education: Future Directions and Issues in Mathematics Education, 1*, 135-141. - Ho, W. K., Toh, P. C., Tay, E. G., Teo, K. M., Shutler,
P. M. E., & Yap, R. A. S. (2017, December). The role of computation in teaching
and learning mathematics at the tertiary level. In Kim, D., Shin, J., Park, J.,
& Kang, H. (Eds.),
*2017 ICJSME Proceedings: Future directions and issues in mathematics education, 2*, 441-448. - Evans, T., Leong, Y. H., & Ho, W. K. (2017, January).
Videos in Teacher Professional Development. In Kaiser, G. (Ed.),
*Proceedings of the 13th International Congress on Mathematical Education (ICME13), 1*, 647-648. - Ho, W. K. (2017, December). Appreciating functional programming:
A beginner's tutorial to HASKELL illustrated with applications in numerical methods.
In Yang, W.-C. Meade, D. B., & Yuan, Y. (Eds.),
*Proceedings of the Twenty-second Asian Technology Conference in Mathematics, 1*, 50-64. - Lai, W., & Ho, W. K. (2017, December). Graphing a quadrilateral
using a single Cartesian equation. In Yang, W.-C. (Ed.),
*Proceedings of the Twenty-second Asian Technology Conference in Mathematics, 1*, 1-10. - Ng, W. L., & Teo, K. M. (2017). A Retrospective Study
on the Effects of Flipping a Calculus Course. In Yang, W. C., Meade, D., & Yuan,
Y. (Eds.)
*Proceedings of the 22nd Asian Technology Conference in Mathematics*(pp. 251-260). Chungli, Taiwan: Mathematics and Technology, LLC. - Tan, H. S. H., Ng, K. E. D., & Cheng, L. P. (2017, July).
Towards a conceptual framework
for assessment literacy for mathematics teachers. In Kaur, B., & Ho,
W. K. (Eds.),
*Towards a conceptual framework for assessment literacy for mathematics teachers, 1*, 247-256. - Tay, E. G., Leong, Y. H., Quek, K. S., & Toh, T. L.
(2017). Instructional practices for the teaching of mathematics. In Kim, D., Shin,
J., Park, J., & Kang, H. (Eds.)
*2017 ICJSME Proceedings: Future directions and issues in mathematics education*(pp. 117-121). Seoul, Korea: KSME.

Conference Papers without proceedings

- Ng, K. E. D., & Lee, N. H. (2017, July).
*Metacognitive Instructional Strategies and The Problem Wheel*. Paper presented at 26th Biennial Conference of the Australian Association of Mathematics Teachers, Canberra, Australia. - Toh, P. C. (2017, November).
*On congruences for certain variants of the partition function*. Paper presented at The Tenth International Conference on Science and Mathematics Education in Developing Countries, Mandalay, Myanmar. - Ng, K. E. D., & Lee, N. H. (2017, July).
*Metacognitive Instructional Strategies and The Problem Wheel*. Paper presented at 26th Biennial Conference of the Australian Association of Mathematics Teachers, Canberra, Australia. - Ng, W. L. (2017, June).
*Graphing Calculators Usage in A Levels*. Paper presented at Mathematics Teachers Conference, Singapore. - Toh, P. C. (2017, November).
*On congruences for certain variants of the partition function*. Paper presented at The Tenth International Conference on Science and Mathematics Education in Developing Countries, Mandalay, Myanmar.

Journal Articles

- C. M. E., Vapumarican, R., Oh, K. V., Liu, H. T., &
Seah, Y. H. S. Investigating Primary 5 students’ argumentative reasoning during
a model-eliciting activity.
*The Mathematics Educator, 17*(1), (in-press). - Kaur, B., Tay, E.G. Toh, T.L., Leong, Y.H. & Lee, N.H.
(2017). A study of school mathematics curriculum enacted by competent teachers in
Singapore secondary schools.
*Mathematics Education Research Journal, 30*(5), 123-135. - Leong, Y. H., Tay, E. G., Quek, K. S., Yap, S. F., Toh,
W. Y. K. (2017). Uneven teacher learning in lesson study: Towards a theory of teacher learning.
*The Mathematics Educator, 17*(1), 79-103. - Kaur, B., Tay, E.G. Toh, T.L., Leong, Y.H. & Lee, N.H.
(2017). A study of school mathematics curriculum enacted by competent teachers in
Singapore secondary schools.
*Mathematics Education Research Journal, 30*(5), 123-135. - Tan, H. C. J., Ng, W. L., & Shutler, P. M. E. (2017).
Development and Field-Testing of an Instrument for Rating Cognitive Demands of Mathematical
Assessment Items.
*The Mathematics Educator, 17*(1), 57-78. - Toh, T.L., Cheng, L.P., Ho, S.Y., Jiang, H., Lim, K.M. (2017).
Use of comics to enhance students' learning for the development of the twenty-first
century competencies in the mathematics classroom.
*Asia Pacific Journal of Education, 2017*, 1-16. - Yoon, C., Chin, S. L., Moala, J. G., & Choy, B. H. (2017).
Entering into dialogue about the mathematical value of contextual mathematising
tasks.
*Mathematics Education Research Journal, 29*(3), 1-17. - Yeo, J. B. W. (2017). Development of a framework to characterise
the openness of mathematical tasks.
*International Journal of Science and Mathematics Education, 15*(1), 175-191. - Wang, C. K. J., Liu, W. C., Nie, Y., Chye, S., Liem, G.
A., Lim, B. S. C., Tay, E. G., Chiu, C., Hong, Y. (2017). Latent profile analysis
of students’ motivation and outcomes in Mathematics: An organismic integration
theory perspective..
*Heliyon, 3*(5), e00308.

Keynote Addresses

- Ang, K. C. (2017, December).
*Asian Technology Conference in Mathematics*. KEYNOTE ADDRESS, Teaching mathematical modelling in a technology-enabled environment, Chungli, Taiwan. - Chua, B. L. (2017, September).
*Secondary School Mathematics HOD Meeting*. KEYNOTE ADDRESS, Quality of Mathematical Justification Produced by Secondary School Students, Singapore. - Choy, B. H. (2017, June).
*Mathematics Teachers Conference 2017*. KEYNOTE ADDRESS, From Task to Activity: Noticing Affordances, Design, and Orchestration, Singapore. - Ho, W. K. (2017, June).
*Mathematics Teachers Conference*. KEYNOTE ADDRESS, A Vicennial Walk Through 'A' Level Mathematics in Singapore, Singapore. - Ng, K. E. D. (2017, June).
*Mathematics Teachers' Conference*. KEYNOTE ADDRESS, Fostering student engagement in mathematics learning: The role of task design, Singapore.

## Publications of Mathematics in 2016

**Books**

- Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2016).
*Singapore Mathematical Olympiads 2016*(PP. 65). Singapore: Singapore Mathematical Society.

Conference Papers published in proceedings

- Zhu,Y., Tan,T.L., & Cheang,W.K. (2016, December). Classification
and Feature Selection with its Application to Detection of Chinese Herbal Medicine.
*Proceedings of the 5th Asian Near Infrared Symposium, 1*, 99-100.

Conference Papers without proceedings

- Dong F.M. (2016, June).
*(Invited) On flow polynomials with real roots only*. Paper presented at The workshop on graphs and knots, Xiamen, China. - M. Dong (2016, July).
*(Invited) A Survey on Chromatic polynomials of hypergraphs*. Paper presented at The Asian Mathematical Conference (AMC 2016 Bali), Bali, Indonesia. - Dong, F.M. (2016, December).
*(Invited) On the study of roots of Jones polynomials*. Paper presented at 2016 Conference on the advances on Combinatorics and related topic, Xiamen, China. - Zhu,Y. (2016, December).
*Functional data analysis with its application to discrimination of Chinese herbal medicine*. Paper presented at The 9th International Conference of the ERCIM (European Research Consortium for Informatics and Mathematics) Working Group on Computational and Methodological Statistics (CMStatistics 2016), Seville, Spain.

Journal Articles

- Byard, K., Shutler, P. M. E. (2016). Singer Product Apertures
- A Coded Aperture System with a Fast Decoding Algorithm.
*Nuclear Instruments and Methods in Physics Research Section A, http://dx.doi.org/10.1016/j.nima.2016.12.042*(N.A.), N.A.. - Zhu, Y. and Tan, T.L. (2016). Penalized Discrimination Analysis
for the Detection of Wild-grown and Cultivated Ganoderma Lucidum Using Fourier Transform
Infrared Spectroscopy.
*Journal of Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, 159*, 68-77. - Toh, P. C. (2016). On certain pairs of q-series identities.
*The Ramanujan Journal, 40*, 359-365. - Tay, E. G., & Toh, P. C. (2016, January).
*A problem on Egyptian fractions Mathematical Medley, 41(2)*, 8-10.

## Publications of Mathematics Education in 2016

**Book Chapters**

- Chua, B. L. (2016). Justification in Singapore Secondary
Mathematics. In Toh, P. C., & Kaur, B. (Eds.),
*Developing 21st Century Competencies in the Mathematics Classroom*(PP. 165- 187). Singapore: World Scientific. - Ho, W. K., & Chan, P. S. (2016). On the Efficacy of
Flipped Classroom: Motivation and Cognitive Load. In Toh, P. C., & Kaur, B.
(Eds.),
*Developing 21st Century Competencies in the Mathematics Classroom*(PP. 213-240). Singapore: World Scientific. - Hunter, R., Hunter, J., Jorgensen, R., & Choy, B.H.
(2016). Innovative and Powerful Pedagogical Practices in Mathematics Education.
In Makar, K., Dole, S., Visnovska, J., Goos, M., Bennison, A., & Fry, K. (Eds.),
*Research in Mathematics Education in Australasia 2012-2015*(PP. 213-234). Singapore: Springer. - Leong, Y.H., Tay, E.G., Toh, T.L., Quek, K.S., Toh, P.C.,
& Dindyal, J. (2016). Infusing mathematical problem solving in the mathematics
curriculum: Replacement Units. In Felmer, P., Perhkonen, E., & Kilpatrick, J.
(Eds.),
*Posing and solving mathematical problems: Advances and new perspectives*(PP. 309-326). Geneva: Springer. - Leong, Y.H., Tay, E.G., Toh, T.L., Yap, R.A.S, Toh, P.C.,
Quek, K.S., & Dindyal, J. (2016). Boundary objects within a replacement unit
strategy for mathematics teacher development. In B. Kaur, O.N. Kwon, & Y.H.
Leong (Eds.),
*Professional Development of Mathematics Teachers: An Asian Perspective*(PP. 189-208). Singapore: Springer. - Stillman, G., Brown, J., Galbraith, P. L., & Ng, K.
E. D. (2016). Research into mathematical applications and modelling. In K. Makar,
S. Dole, J. Visnovska, M. Goos, A. Bennison, & K. Fry (Eds.),
*Research in Mathematics Education in Australasia: 2012-2015*(PP. 281-304). New York: Springer. - Toh, P. C., & Kaur, B. (2016). 21st Century Competencies
in Mathematics Classrooms. In Toh, P. C., & Kaur, B. (Eds.),
*Developing 21st Century Competencies in the Mathematics Classroom*(pp. 1-11). Singapore: World Scientific. - Toh, T.L., Cheng, L. P., Jiang, H., & Lim, K. M. (2016).
Use of comics and storytelling in teaching mathematics. In Toh, P. C. & Kaur,
B. (Eds.),
*Developing 21st Century Competencies in the Mathematics Classroom, Yearbook 2016, Association of Mathematics Educators*(PP. 241-260). Singapore: World Scientific Publishing. - Yeo, K.K.J. (2016). Using Open-Ended Tasks to Foster 21st
Century Learners at the Primary Level. In Toh, P. C.,& Kaur, B. (Eds.),
*Developing 21st Century Competencies in the Mathematics Classroom*(PP. 132-148). Singapore: World Scientific. - Yeo, K. K. J. (2016). Infusing Financial Literacy in Primary
Mathematics: A Proposed Framework for Instruction. In Aprea, C., Wuttke, E., Breuer,
K., Koh, N.K., Davies, P., Fuhrmann, B., & Lopus, J.S. (Eds.),
*International Handbook of Financial Literacy*(PP. 603 -616). Singapore: Springer.

**Books**

- Chan, C. M. E. (2016).
*Targeting Mathematics 4A*(PP. 146). Singapore: Star Publishing Pte Ltd. - Chan, C. M. E. (2016).
*Targeting Mathematics 4B*(PP. 146). Singapore: Star Publishing Pte Ltd. - Collars, C., Koay, P.L., Lee, N.H., Tan. C.S., & Ong,
B.L. (2016).
*Shaping Maths Activity Book 4A*(PP. 210). Singapore: Marshall Cavendish Education Pte Ltd. - Collars, C., Koay, P.L., Lee, N.H., Tan, C.S., & Ong,
B.L. (2016).
*Shaping Maths Activity Book 4B*(PP. 202). Singapore: Marshall Cavendish Education Pte Ltd.. - Collars, C., Koay, P.L., Lee, N.H., Tan, C.S., & Ong,
B.L. (2016).
*Shaping Maths Coursebook 4A*(PP. 156). Singapore: Marshall Cavendish Education Pte Ltd. - Collars, C., KOay, P.L., Lee, N.H., Tan, C.S., & Ong,
B.L. (2016).
*Shaping Maths Coursebook 4B*(PP. 131). Singapore: Marshall Cavendish Education Pte Ltd. - Koay, P.L., & Lee, N.H. (2016).
*Shaping Maths Teacher's Planning Guide 4A*(PP. 452). Singapore: Marshall Cavendish Pte Ltd.. - Lee, N.H., & Koay, P.L. (2016).
*Shaping Maths Teacher's Planning Guide 4B, 3rd Edition*(PP. 397). Singapore: Marshall Cavendish Education. - Leong, Y.H., Tay, E.G., Quek, K.S., Yap, S.F., Tong, C.L.,
Lee, H.T., Toh, W.Y., & Xie, X.R. (2016).
*MProVE: Completing the square*(PP. 62). Singapore: Author. - Leong, Y.H, Tay, E.G., Quek, K.S., Yap, S.F., Tong, C.L.,
Lee, H.T., Toh, W.Y., & Xie, X.R. (2016).
*MProVE: Expansion and factorization of linear and quadratic expressions*(PP. 117). Singapore: Author. - Leong, Y. H., Tay, E. G., Quek, K. S., Yap, S. F., Tong,
C. L., Lee, H. T. C., Toh, W. Y. K., Xie, X., Chew, K. Lock, O. L., Liu, S., Subramaniam,
T., Leong, W. C., Chia, A., Nafiza, N-I., Xing, J., Karen, I. (2016).
*MPROVE: Completing the square*. Singapore: Toh Wei Yeng Karen. - Toh, P. C., & Kaur, B. (Eds.). (2016).
*Developing 21st Century Competencies in the Mathematics Classroom*(PP. 281). Singapore: World Scientific. - Yeo, J. B. W., Teh, K. S., Loh, C. Y., & Chow, I. (2016).
*New Syllabus Mathematics 4*(PP. 371). Singapore: Shinglee.

Conference Papers published in proceedings

- Choy, B. H. (2016, August). Snapshots of a teacher's in-the-moment
noticing during a lesson on gradient. In Csíkos, C., Rausch, A., & Szitányi,
J. (Eds.),
*Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education, 2*, 147-154. - Chua, B. L. (2016, August). Examining mathematics teachers'
justification and assessment of students' justifications. In Csíkos, C.,
Rausch, A., & Szitányi, J. (Eds.),
*Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education, 2*, 155 - 162. - Ho, W.K. (2016, December). Outbox Centroid Theorem: An Episode
of Dynamic Geometry Exploration. In Yang, W.C., Meade, D.B., & Khairiree, K.
(Eds.),
*Proceedings of the Twenty-first Asian Technology Conference in Mathematics, 1*, 36-50. - Ng, W. L. & Ho, F. H. (2016, December). Using Dynamic
Geometry Software to Enhance Student Understanding of the Concept of Speed. In Yang,
W. C., Majewski, M., de Alwis, T., & Khairiree, K. (Eds.),
*Proceedings of the 21st Asian Technology Conference in Mathematics, 1*, 147-156.

Conference Papers without proceedings

- Lee, N. H., Ng, K. E. D., Seto, C., Loh, M. Y., & Chen,
S. (2016, September).
*Programmatic influence on mathematics teachers' metacognitive instructional strategies: A Singapore case study*. Paper presented at British Educational Research Association (BERA) Annual Conference 2016, Leeds, United Kingdom. - Loh, M.Y., & Lee, N.H. (2016, July).
*Reconciling Differences in Findings from Multiple Data Sources in the Investigation of Metacognition in Problem Solving*. Paper presented at 13th International Congress on Mathematics Education (ICME-13), Hamburg, Germany. - Toh, P. C., Ho, W. K., Teo, K. M., Quek, K. S., Toh, T.
L., Tay, E. G., & Yap, R. A. S. (2016, July).
*Holistic Approach to Curriculum Review of Undergraduate Mathematics*. Paper presented at 13th International Congress on Mathematical Education, Hamburg, Germany. - Lee, N.H. (2016, May).
*Spotlight Session: Promoting Deep Learning In The Mathematics Classroom*. Paper presented at Teachers' Conference 2016, Singapore. - Lee, N.H., Ng, K. E. D., Seto, C., & Loh, M. Y. (2016,
June).
*Special Session showcasing pedagogy projects: Metacognition and mathematical problem solving: Teaching and learning at the primary levels*. Paper presented at Mathematics Teachers Conference (MTC), Singapore. - Lee, N.H., Kapur, M., Thiang, P.M.K., & Chua, S.K. (2016,
June).
*Special Session showcasing pedagogy projects: Translating Productive Failure in the Singapore A-Level Statistics Curriculum*. Paper presented at Mathematics Teachers Conference, Singapore. - Leong, S.L., Walker, Z., & Lee, N.H. (2016, July).
*Effects of a Mathematics Instructional Sequence on the Conceptual and Procedural Understanding of Algebraic Expression for Secondary Students with Mathematics Difficulties*. Paper presented at 13th International Congress on Mathematics Education (ICME-13), Hamburg, Germany. - Mizzi, A., Choy, B. H., & Lee, M. Y. (2016, July).
*Textbook signatures: An exploratory study of the notion of fractions in Germany, Singapore, and South Korea*. Paper presented at 13th International Congress on Mathematics Education, Hamburg, Germany. - Ng, K. E. D., Lee, N. H., Seto, C., Loh, M. Y., & Chen,
S. (2016, September).
*Teachers' conceptions of metacognition: Some preliminary findings from Singapore primary schools*. Paper presented at British Educational Research Association (BERA) Annual Conference 2016, Leeds, United Kingdom. - Zhuang, Y. L. J., & Ng, K. E. D. (2016, October).
*Case study insights into Singapore secondary school students metacognition when solving problems in real-word contexts*. Paper presented at Graduate Student Conference 2016, Singapore.

Journal Articles

- Choy, B. H. (2016). Snapshots of mathematics teacher noticing
during task design.
*Mathematics Education Research Journal, 28*(3), 421-440. - Chan, C. M. E., Vapumarican, R., Oh, K. V., Liu, H. T.,
& Seah, Y. H. S. (2016). Fostering mathematical reasoning of Primary 5 students
during mathematical modelling.
*Journal of Science and Mathematics Education in Southeast Asia, 39*(2), 138-167. - Lim, K. M., & Tay, E. G. (2016). Preparing Teachers
for the 21st Century.
*AsTEN Journal of Teacher Education, 1*(1), 49-55. - Tan, L. S., & Ang, K. C. (2016). A school-based professional
development programme for teachers of mathematical modelling in Singapore.
*Journal of Mathematics Teacher Education, 19*, 399-432. - Yeo, J. B. W., Ikramov, A., & Bellos, A. (2016). Classic
geometric puzzle.
*Mathematical Medley, 42*(1), 2-17.

Keynote Addresses

- Ang, K.C. (2016, May).
*Annual Convention of the Mathematical Society of the Philippines*. KEYNOTE ADDRESS, Mathematical Modelling: Process, Practice and Pedagogy, Cebu, Philippines. - Cheng, L. P. (2016, June).
*Mathematics Teachers Conference*. KEYNOTE ADDRESS, Developing Self-Regulated Learners in the Primary Mathematics Classroom, Singapore. - Choy, B. H. (2016, November).
*ICAN Symposium*. KEYNOTE ADDRESS, Teacher Noticing: Developing our eyes, ears and minds to improve teaching, Singapore. - Ng, K. E. D. (2016, July).
*Academy of Singapore Teachers: Mathematics Chapter Meeting*. KEYNOTE ADDRESS, Mathematics tasks for engaged learning, Singapore. - Ng, K. E. D. (2016, February).
*International Conference of Mathematics and Science Education Case Study on Singapore*. KEYNOTE ADDRESS, Singapore: A Problem Solving Mathematics Curriculum, Takashima, Nakashima, Japan. - Ng, W. L. (2016, June).
*STEM Education with Graphing Calculators*. KEYNOTE ADDRESS, The Reformation of Mathematics Education with Graphical Display Calculator in Singapore, Hong Kong, Hong Kong (China). - Toh, P. C. (2016, June).
*MTC2016: Empowering Mathematics Learners*. KEYNOTE ADDRESS, Discovering Mathematics, Singapore. - Toh, P.C. (2016, February).
*Sharing of Pedagogical Content Knowledge for 2016 A Level Mathematics Syllabus*. KEYNOTE ADDRESS, Discovering Conics, Singapore.

## Publications of Mathematics in 2015

**Books**

- Koh, K. M., Dong, F. M., Ng, K. L., & Tay, E. G. (2015). Graph Theory: Undergraduate Mathematics (PP. 479). Singapore: World Scientific.
- Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2015). Singapore Mathematical Olympiads 2015 (PP. 70). Singapore: Singapore Mathematical Society.

Conference Papers without proceedings

- Dong F.M. (2015, July). On Zero-free Intervals of Flow Polynomials. PAPER PRESENTED AT Workshop on New Directions for the Tutte Polynomial: Extensions, Interrelations, and Applications, London.
- Dong, F.M. (2015, April). On flow polynomials having no roots in (1,2). PAPER PRESENTED AT The 2015 International Conference on Graph Theory at Fuzhou, Fuzhou.
- Zhu,Y. & Tan,T.L. (2015, June). Penalized discrimination analysis with application to detection of wild-grown Ganoderma lucidum. PAPER PRESENTED AT 15th International Conference on Chemometrics, Changsha.
- Zhu,Y. & Tan,T.L. (2015, December). Penalized feature selection method with its application of detection of herbal medicine. PAPER PRESENTED AT The 8th International Conference on Computational and Methodological Statistics (CMStatistics 2015), London.

Journal Articles

- Chan, H. H., & Toh, P. C. (2015). Theta series associated with certain positive definite binary quadratic forms. Acta Arithmetica, 169,(4), 331-356.
- Hirschhorn, M. D., & Toh, P. C. (2015). On a certain vector crank modulo 7. The Electronic Journal of Combinatorics, 22,(1), #P1.25.
- Dong, F.M. (2015). On graphs having no flow zeros in (1,2). Electronic Journal of Combinatorics, 22,(1), #P1.82.
- Dong, F.M. (2015). On Zero-free Intervals of Flow Polynomials. Journal of Combinatorial Theory, Series B, 111,(), 181-200.
- Dong, F.M, &Jin, X.A. (2015). Bounds for zeros of Jones polynomials of graphs. Electronic Journal of Combinatorics, 22,(3), #P3.23.
- Ng B.L., &Dong F.M. (2015). The Chromatic Equivalence Classes of $K_{1,n,n+2}$. Discrete Mathematics, 338,(5), 674-687
- Solekhudin, I., & Ang, K. C. (2015). A Laplace transform DRBEM with a predictor-corrector scheme for time-dependent infiltration from periodic channels with root-water uptake. Engineering Analysis with Boundary Elements, 50,(), 141-147.
- Zhu,Y.& Tan,T.L. (2015). Discrimination of wild-grown and cultivated Ganoderma lucidum by Fourier transform infrared spectroscopy and chemometric methods. American Journal of Analytical Chemistry (AJAC), 6,(5), 480-491.
- Zhu,Y. and Tan,T.L. (2015). Chemometric Feature Selection and Classification of Ganoderma lucidum Spores and Fruiting Body Using ATR-FTIR Spectroscopy. American Journal of Analytical Chemistry, 6,(10), 840-890.

## Publications of Mathematics Education in 2015

**Book Chapters**

- Ang, K.C. (2015). Mathematical Modelling in Singapore Schools: A framework for Instruction. In Lee, N.H., & Ng, K.E.D. (EDS.), Mathematical Modelling - From Theory to Practice (PP. 57-72). Singapore: World Scientific.
- Chan, C. M. E. (2015). Learning through "Dream Home". In Lee, N. H., & Ng, K. E. D. (EDS.), Mathematical modeling: From theory to practice (PP. 221-231). Singapore: World Scientific.
- Chan, C. M. E. (2015). A review of mathematical problem solving research involving students in Singapore mathematics classrooms (2001 to 2011): What's done and what more can be done. In Sriraman, B., Cai, J., Lee, K-H., Fan, F., Shimuzu, Y., Lim C. S., & Subramanium, K. (Eds.), The first sourcebook on Asian research in mathematics education: China, Korea, Singapore, Japan, Malaysia and India (pp. 933-957). Charlotte, North Carolina: Information Age Publishing.
- Cheng, L. P. (2015). Developing Critical Reflection Through Audio and Video Technology for some Singapore Primary School Mathematics Teachers. In, S.F. Ng (Ed). Using videos to facilitate professional development of mathematics teachers and mathematics educators (pp 39-60). Springer.
- *Cheng, L. P., & Toh, T. L. (2015). Mathematical Problem Solving Using Real-World Problems. In Cho, Y. H., Caleon, I. S., & Kapur, M. (EDS.), Authentic Problem Solving and Learning in the 21st Century (PP. 57-71). Singapore: Springer.
- Cheng, L. P. & Chua, K. G. (2015). Learning through Mobile Phone Plan. In N. H. Lee & K. E. Ng (EDS.), Mathematical Modelling: From Theory to Practice (PP. 183-192). Singapore: World Scientific.
- Dindyal, J., & Ho, F. H. (2015). Learning through the "Unsinkable Titanic". In Lee, N. H., & Ng, K. E. D. (EDS.), Mathematical modelling: From theory to practice (PP. 231-239). Singapore: World Scientific.
- Ho, W. K., Leong, Y. H., & Ho, F. H. (2015). The Impact of Online Video Suite on the Singapore Pre-service Teachers Buying-in to Innovative Teaching of Factorisation via Algecards. In Ng, S. F, (ED.), Cases of Mathematics Professional Development in East Asia Countries - Using Video to Support Grounded Analysis (PP. 157-178). Singapore: Springer.
- Ng, K. E. D., & Lee, N. H. (2015). Introduction: Mathematical modelling outreach in Singapore. In Lee, N. H., & Ng, K. E. D. (EDS.), Mathematical modelling: From theory to practice (PP. 1-17). Singapore: World Scientific Publishing Co. Pte. Ltd..
- Ng, K. E. D., Widjaja, W., Chan, C. M. E., & Seto, C. (2015). Developing teaching competencies through videos for facilitation of mathematical modelling in Singapore primary schools. In Ng, S. F. (ED.), The contributions of video and audio technology towards professional development of mathematics teachers (PP. 15-38). Singapore: Springer.
- Ng, K. E. D., & Stillman, G. A. (2015). Exploring interconnections between real-world and application tasks: Case study from Singapore. In Stillman, G. A., Biembengut, M. S., & Blum, W. (EDS.), International perspectives on the teaching and learning of mathematical modelling: Teaching mathematical modelling - History and future prospects (PP. 207-217). Dordrecht: Springer.
- Stacey, K.,Alumna, F., Caraballo, R.M., Chesne, J-F., Garfunkel, S., Gooya, Z., Kaur, B., et al (2015). PISA's influence on thought and action in mathematics education. In Stacey, K & Turner, R. (EDS.), Assessing Mathematical Literacy - The PISA experience (PP. 275 - 306). Heidelberg: Springer.
- Yap, R.A.S, & Leong, Y.H. (2015). Using video clubs to learn for mathematical problem-solving instruction in the Philippines: The case of teaching extensions. In Ng, S.F. (ED.), Cases of Mathematics Professional Development in East Asian Countries (PP. 83-106). Singapore: Springer.

**Books**

- Chan, E. (2015). Targeting Mathematics 3A (PP. 168). Singapore: Star Publishing Pte Ltd.
- Chan, E. (2015). Targeting Mathematics 3B (PP. 128). Singapore: Star Publishing Pte Ltd.
- Foong, P. Y., Lim L.G.P., Wong, O. H. (2015). New Syllabus Primary Mathematics 3A Textbook (PP.154). Singapore: Shinglee.
- Foong, P. Y., Lim L.G.P., Wong, O. H. (2015). New Syllabus Primary Mathematics 3A Workbook (PP.190). Singapore: Shinglee.
- Foong, P. Y., Lim L.G.P., Wong, O. H. (2015). New Syllabus Primary Mathematics 3B Textbook (PP.137). Singapore: Shinglee.
- Foong, P. Y., Lim L.G.P., Wong, O. H. (2015). New Syllabus Primary Mathematics 3B Workbook (PP.174). Singapore: Shinglee.
- Foong, P. Y., Lim L.G.P., Wong, O. H. (2015). New Syllabus Primary Mathematics Teacher’s Resource Book (PP.307). Singapore: Shinglee.
- Collars, C., Koay, P.L., Lee, N.H., & Tan C.S. (2015). Shaping Maths Activity Book 3B (PP. 178). Singapore: Marshall Cavendish Education pte Ltd.
- Collars, C., Koay, P.L., Lee, N.H. & Tan, C.S. (2015). Shaping Maths Coursebook 3A (PP. 140). Singapore: Marshall Cavendish Education Pte Ltd.
- Collars, C., Koay, P.L., Lee, N.H., & Tan, C.S. (2015). Shaping Maths - Teacher's Planning Guide 3A (PP. 382). Singapore: Marshall Cavendish Education.
- Collars, C., Koay, P.L., Lee, N.H. & Tan, C.S. (2015). Shaping Maths Coursebook 3B (PP. 128). Singapore: Marshall Cavendish Education Pte Ltd.
- Lee, N. H., & Ng, K. E. D. (EDS.). (2015). Mathematical modelling: From theory to practice (PP. 239). Singapore: World Scientific Co. Pte. Ltd..
- Collars, C., Koay, P.L., Lee, N.H., & Tan, C.S. (2015). Shaping Maths Activity Book 3A (PP. 202). Singapore: Marshall Cavendish Education Pte Ltd.
- Collars, C., Koay, P.L., Lee, N.H., & Tan, C.S. (2015). Shaping Maths - Teacher's Planning Guide 3B (PP. 338). Singapore: Marshall Cavendish Education.
- Yeo, J. B. W., Teh, K. S., Loh, C. Y., Chow, I., Ong, C. H., & Liew, J. (2015). New Syllabus Mathematics 3 (PP. 431). Singapore: Shinglee.

Conference Papers published in proceedings

- Choy, B. H., Lee, M.Y., & Mizzi A. (2015, July). Textbook signatures: An exploratory study of the notion of gradient in Germany, Singapore and South Korea. In Beswick, K., Muir, T., & Wells, J. (EDS.) Proceedings of the Joint Meeting of PME 39, 2, 169-176.
- Dindyal, J. (2015, January). A comparison of two Grade 7 mathematics textbooks. In Jones, K., Bokhove, C., Howson, G., & Fan, L. (EDS.) Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT-2014), 1, 197-202.
- Kaur, B., Bhardwaj, D., Towndrow, P. & Shaznay, N. (2015, May). A study of student-centred activities for low attainers in primary mathematics. In Vistro-Yu, C. (ED.) Proceedings of the 7th ICMI-East Asia Regional Conference on Mathematics Education, 1, 187-194.
- Kaur, B. (2015, June). The model method - A tool for representing and visualising relationships. In Sun, X., Kaur, B. & Novotna, J. (EDS.) Conference Proceedings of ICMI Study 23: Primary Mathematics Study on Whole Numbers, 1, 448-455.
- Kissane, B., Ng, W. L., & Springer, G. T. (2015). Graphics Calculators and the School Mathematics Curriculum: Perspectives and Issues from Three Countries. In Yang, W. C., Majewski, M., & Alwis, T. (Eds.) Proceedings of the 20th Asian Technology Conference in Mathematics (pp. 136-152). Blacksburg, U.S.: Mathematics and Technology, LLC.
- Ng, L. K., & Dindyal, J. (2015, June). Examples in the teaching
of mathematics:

Teachers perceptions. In Marshman,M., Geiger, V., & Bennison, A. (EDS.) Mathematics in the margins. Proceedings of the 38th Annual Conference of the Mathematics Education Research Group of Australasia, 1, 461-468 - Wong, L.F. & Kaur, B. (2015, May). Assessment standards for mathematics written assessments. In Vistro-Yu, C. (ED.) Proceedings of the 7th ICMI-East Asia Regional Conference on Mathematics Education, 1, 683-690.

Conference Papers without proceedings

- Poh, W. B., & Dindyal, J. (2015, July). Developing lesson packages for teaching calculus using a historical perspective. PAPER PRESENTED AT 39th Conference of the International Group for the Psychology of Mathematics Education, Hobart.
- Dindyal, J. (2015, June). A problem solving lesson: Pre-service teachers initiation to lesson study. PAPER PRESENTED AT MERGA 38 Conference - Mathematics education in the margins. Proceedings of the 38th Annual Conference of the Mahematics Education Research Group of Australasia, Sunshine Coast.

Journal Articles

- Chan, C. M. E., Ng, K. E. D., Widjaja, W., & Seto, Cynthia. (2015). A case study on developing a teacher’s capacity in mathematical modelling. The Mathematics Educator, 16,(1), 47-76.
- Cheng, L. P. (2015) Error analysis for arithmetic word problems – A case study of primary three students in one Singapore school. International Journal for Mathematics Teaching and Learning, December, 1 - 27.
- Deng, F., Tay, E.G., Toh, T.L., Leong, Y.H., Quek, K.S., Toh, P.C., Dindyal, J., & Ho, F.H. (2015). Enhancing Student Beliefs about mathematical Problem Solving: Effects of a Problem-Solving based Intervention. Journal of the Korean Society of Mathematics Education Series D, 19,(1), 19-41.
- Dindyal, J. (2015). Geometry in the early years: A commentary. ZDM Mathematics Education, 47,(3), 519-529.
- Kaur, B. (2015). What matters? From a small scale to a school-wide intervention. ZDM - Mathematics Education, 47,(1), 105-116.
- Leong, Y.H., Ho, W.K., & Cheng, L.P. (2015). Concrete-Pictorial-Abstract: Surveying its origins and charting its future. The Mathematics Educator, 16,(1), 1-19.
- Wong, L.F. & Kaur, B. (2015). A study of mathematics written assessment in Singapore secondary schools. The Mathematics Educator, 16,(1), 1-26.
- Yeo, J. B. W. (2015). Development of a framework to characterise the openness of mathematical tasks. International Journal of Science and Mathematics Education. DOI 10.1007/s10763-015-9675-9

Professional articles

- Chua, B. L. (2015, August). Have time for Birthday Party and Handshakes. PopClub: Education Guide, Issue 47, 9.
- Chua, B. L. (2015, May). Is memorisation bad for mathematics learning? PopClub: Education Guide, Issue 47, 15.
- Chua, B. L. (2015, March). Shortcomings in Mathematics questions and worked solutions. PopClub: Education Guide, Issue 47, 8.

## Publications of Mathematics in 2014

**Books**

- Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2014). Singapore Mathematical Olympiads 2014 (PP. 65). Singapore: Singapore Mathematical Society.
- Zhu,Y. (2014). Wisdom in Statistics (PP. 203). Shanghai: Fudan University Press.

Conference Papers published in proceedings

- Ho, W. K. (2014). Characterising E-projectives via Co-monads. In Liu, Y.-M., Luo, M.-K., & Zhang G.-Q. (Eds.) Proceedings of the 6th International Symposium on Domain Theory and Its Applications (ISDT) (pp. 61-77). China: Elsevier.
- Zhu,Y. & Tan,T.L. (2014, June). Wavelength selection for discrimination between wild and cultivated Ganoderma lucidum by Fourier transform infrared spectroscopy. IN (EDS.) Proceedings of the 4th Asian Near Infrared Symposium, 1, 99-100.

Conference Papers without proceedings

- Ang, K. C. (2014, November). Computer Programming and Mathematics. PAPER PRESENTED AT UGM Mathematics Colloquium, Yogyakarta.
- Dong F.M. (2014, June). Study on the Real Roots of Flow Polynomials. PAPER PRESENTED AT International Symposium on Graph Polynomials and their applications, Xiamen.
- Dong F.M., Yan W.G. (2014, November). Proof of a Conjecture On the Number of Spanning Trees of Line Graphs and its Generalization. PAPER PRESENTED AT The Sixth National conference of Combinatorics and Graph Theory in China, Guangzhou.
- Zhu,Y., Fearn,T. and Bown S.G. (2014, July). A discriminant dimension reduction method for image classification.. PAPER PRESENTED AT The 3rd Institute of Mathematical Statistics Asian Pacific Rim Meeting, Taipei.

Journal Articles

- Dong, F.M., Tay, E.G., &Koh, K.M. (2014). Nowhere-zero 3-flows in tensor products of graphs. Ars Combinatoria, 117, 375-386.
- Dong F.M., Zhao D.S., & Ho W.K. (2014). On the largest outscribed equilateral triangle. The Mathematical Gazette, 97, 79-84.
- Ho, W. K. (2014). An Operational Domain-theoretic Treatment of Recursive Types. Mathematical Structures in Computer Science, 24 (1), 1-59.
- Shutler, P. M. E., Springham, S. V., Talebitaher, A. (2014). Periodic wrappings in coded aperture imaging. Nuclear Instruments and Methods in Physics Research Section A, 738, 132-148.
- Soon, W.M., Ang, K.C., & Teo, K.M. (2014). Comparison of Pricing Models with Simulated Demand Data. Electronic Journal of Mathematics and Technology, 8,(3), 195-208.
- Toh, P.C. & Tay, E. G. (2014). What is the next number in this sequence?. Mathematical Spectrum, 46,(3), 125-131.
- Xing, R.D., Zhou, B. & Dong,F.M. (2014). The effect of a graft transformation on distance spectral radius. Linear Algebra and its applications, 457,(), 261-274.
- Zhao, D., & Ho, W. K. (2014). On topologies defined by irreducible sets, Journal of Logical and Algebraic Methods in Programming, 84, 185-195.

## Publications of Mathematics Education in 2014

**Book Chapters**

- Cheng, L. P. (2014). Teaching for Mathematical Abstraction. IN P.C. Toh, T.L.Toh, & B. Kaur (EDS.), Learning experiences to promote mathematics learning (PP. 131-151). Singapore: World Scientific.
- Dindyal, J. (2014). International comparative studies in mathematics: An overview. IN Lerman, S. (ED.), Encyclopedia of Mathematics Education (PP. 320-325). New York: Springer Dordrecht.
- Ho, W.K. (2014). Learning through "plane punctuality". IN Lee, N.H., & Ng, K.E.D. (EDS.), Mathematical Modelling -- From Theory to Practice (PP. 167-176). Singapore: World Scientific.
- Kaur, B. (2014). It matters how students learn mathematics. IN Toh, P.C., Toh, T.L. & Kaur, B. (EDS.), Learning experiences to promote mathematics learning (PP. 1-12). Singapore: World Scientific.
- Kaur, B. (2014). Developing Procedural Fluency in Algebraic Structures - A Case Study of a Mathematics Classroom in Singapore. IN Leung, F.K.S., Park, K., Holton, D. & Clarke, D. (EDS.), Algebra Teaching around the World (PP. 81-98). Rotterdam: Sense Publishers.
- Lee, N.H. (2014). The Singapore Mathematics Curriculum Development - A Mixed Model Model Approach. IN Li, Y., & Lappan, G. (EDS.), Mathematics Curriculum in School Education (PP. 279-303). New York: Springer.
- Lay, Y. F., Areepattamannil, S., Ng, K. T., Karnasih, I., & Kaur, B. (2014). Teacher and classroom correlates of TIMSS 2011 Grade 8 mathematics achievement in Malaysia, Singapore, Indonesia, and Thailand. IN Ong, S. L., Gonzalez, E. J., & Kanageswari, S. S. (EDS.), TIMSS 2011: What can we learn together? (Vol. 1) (PP. 84-103). Penang: SEAMEO RECSAM.
- Tay, E. G., & Toh, P. C. (2014). Learning Mathematical Induction through Experiencing Authentic Problem Solving. IN Toh, P. C., Toh, T. L., & Kaur, B. (EDS.), Learning experiences to promote mathematics learning (PP. 209-226). Singapore: World Scientific.

**Books**

- Chan, C. M. E. (2014). Assessment for learning: Strategies to enhance primary mathematics learning (PP. 93). Singapore: Pearson Prentice Hall.
- Chan, C. M. E. (2014). Overcoming learning difficulties in primary mathematics (PP. 138). Singapore: Pearson-Prentice Hall.
- Collars, C., Koay, P.L., Lee, N.H., & Tan, C.S. (2014). Shaping Maths Activity Book 2A (PP. 162). Singapore: Marshall Cavenish Education.
- Collars, C., Koay, P.L., Lee, N.H., & Tan, C.S. (2014). Shaping Maths Coursebook 2A (PP. 146). Singapore: Marshall Cavendish Education.
- Collars, C., Koay, P.L., Lee, N.H., & Tan, C.S. (2014). Shaping Maths Coursebook 2B (PP. 148). Singapore: Marshall Cavendish Education.
- Lee, N.H., & Koay, P.L. (2014). Shaping Maths Teacher's Planning Guide 2A & 2B (PP. 755). Singapore: Marshall Cavendish Education.
- Collars, C., Koay, P.L., Lee, N.H., & Tan, C.S. (2014). Shaping Maths Activity Book 2B (PP. 190). Singapore: Marshall Cavendish Education.
- Toh, P.C., Toh, T.L., & Kaur, B. (EDS.). (2014). Learning experiences to promote mathematics learning (PP. 300). Singapore: World Scientific.
- Yeo, J. B. W., Teh, K. S., Loh, C. Y., Chow, I., Neo, C. M., Liew, J., & Ong, C. H. (2014). New Syllabus Mathematics 2 (PP. 418). Singapore: Shinglee.

Conference Papers published in proceedings

- Ang, K.C., and Tan, L.S., Professional Development for Teaching in Mathematical Modeling, Proceedings of the 19th Asian Technology Conference in Mathematics, Yogyakarta, Indonesia, 2014, pp 33-42.
- Chan, C. M. E. (2014). Exploring group dynamics of primary 6 students engaged in mathematical modelling activities. In Anderson, J., Cavanagh, M, & Prescott, A. (Eds.) Proceedings of the 37th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 127-134). Adelaide, Australia: Mathematics Education Research Group of Australasia Inc.
- Dindyal, J., Tay, E. G., Quek, K. S., Leong, Y. H., Toh, T. L., Toh, P. C., & Ho, F. H. (2014, May). Cognitive scaffolding for problem solving: Use of the practical worksheet. IN Careira, S., Amado, N., Jones, K., & Jacinto, H. (EDS.) Technology, creativity and affect in mathematical problem solving, 1, 265-274.
- Ganesan, R., & Dindyal, J. (2014, June). An investigation of students' errors in logarithms. IN Anderson, J., Cavanagh, M, & Prescott, A. (EDS.) Curriculum in focus: Research guided practice, 1, 231-238.
- Ho, W. K. (2014). Exact Real Calculator for Everyone. In Yang, W.-C., Majweski, M., Alwis, T., & Rana, I. K. (Eds) Proceedings of the Eighteenth Asian Technological Conference in Mathematics (ATCM) (pp. 1-15). Bombay, India: Mathematics and Technology, LLC.
- Kaur, B. (2014, July). A study of lessons for low attainers in primary mathematics. IN Oesterle, S., Nicole, C., Liljedahl, P. & Allan, D. (EDS.) Proceedings of the joint PME 38 and PME-NA 36., 6, 125.
- Kaur, B. (2014, June). Evolution of Singapore's School Mathematics Curriculum. IN Anderson, J., Cavanagh, M.& Prescott, A. (EDS.) Curriculum in focus - Proceedings of the 37th annual conference of the MERGA, 1, 24-37.
- Lim, P., Fu, S. & Foong, P.H.S. (2014, December). Magic Tricks in the Teaching of the Arithmetic Mean. IN Vincent, J., FitzSimons, G. & Steinle, J. (EDS.) Maths Rocks, 1, 94-101.
- Tay, E. G., Toh, P. C., Dindyal, J., & Deng, F. (2014, July). TONYS STORY: READING MATHEMATICS THROUGH PROBLEM SOLVING. IN Nicol, C., Oesterle, S., Liljedahl, P., & Allan, D. (EDS.) 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., 5, 225-232.
- Toh, P. C., Leong, Y. H., Toh, T. L., & Ho, F. H. (2014, January). Designing tasks for conjecturing and proving in number theory. IN Oesterle, S., Liljedahl, P., Nicol, C., & Allan, D. (EDS.) Proceedings of the Joint Meeting of PME 38 and PME-NA 36, 5, 257-264.

Conference Papers without proceedings

- Kaur, B. (2014, July). School mathematics curriulum in a centralised system - An example of a national curriculum.. PAPER PRESENTED AT PME 38 and PME-NA 36 Conference 2014, Vancouver.
- Kaur, B., Areepattamannil, S., Lee, D. H. L., Hong, H., & Su, R. H. C. (2014, April). Does bullying at school predict student academic performance? Evidence from 65 countries. PAPER PRESENTED AT the annual meeting of the American Educational Research Association, Philadelphia.
- Kaur, B. & Thompson, D.R. (2014, April). Reasoning in the Middle Grades: It's Easier Than You Think. PAPER PRESENTED AT National Council of Teachers of Mathematics Annual Meeting, New Orleans.
- Loh, M.Y., & Lee, N.H. (2014, November). Metacognitive strategies employed in solving arithmetic word problems.. PAPER PRESENTED AT Third International Symposium on Mathematics Education, Yogyakarta.
- Lee, N.H. (2014, December). Plenary - An Evolution of Primary Mathematics Textbooks in the 21st Century - A Singapore Perspective. PAPER PRESENTED AT International Forum on Mathematics Textbook, Seoul.
- Lee, N.H. (2014, May). Plenary - Effectiveness and Efficiency in Teaching and Learning Mathematics. PAPER PRESENTED AT Policy, Governance and Capacity Building Teachers' Conference 2014, Manila.
- Tan, H. S., Ng, K. E. D., & Cheng, L. P. (2014). Assessment literacy among primary school mathematics teachers. Paper presented at Curriculum in focus - Research guided practice: The 37th annual conference of the Mathematics Education Research Group of Australasia, Sydney, Australia.

Journal Articles

- Chua, B. L., & Hoyles, C. (2014). Generalisation of linear figural patterns in Secondary School. The Mathematics Educator, 15(2), 1 – 30.
- Chua, B. L. (2014, November). Preparing your children for Secondary One Mathematics. PopClub: Education Guide, Issue 46, 8.
- Chua, B. L. (2014, August). Solve Maths problems with simpler methods. PopClub: Education Guide, Issue 45, 5.
- Kaur, B. (2014). Mathematics education in Singapore - An insider's perspective. Journal on Mathematics Education, 5,(1), 1-16.
- Kaur, B. (2014). Enactment of school mathematics curriculum in Singapore: whither research!. ZDM - The International Journal on Mathematics Education, 46,(5), 829-836.
- Lee, N.H., Yeo, D.J.S., & Hong, S.E. (2014). A metacognitive-based instruction for Primary Four students to approach non-routine mathematical word problems. ZDM - The International Journal on Mathematics Education, 46,(3), 465-480.
- Lee, N. H., & Tan, B. L. J. (2014). The Role Of Virtual Manipulatives On The Conrete-Pictorial-Abstract Approach In Teaching Primary Mathematics. The Electronic Journal of Mathematics & Technology, 8,(Special), 102-121.
- Leong, Y.H., Tay, E.G., Quek, K.S., Yap, S.F., Tong, C.L., Toh, W.Y.K., Chia, A., &, Ong, Y.T. (2014). Note-taking in a mathematics classroom. Australian Mathematics Teacher, 40,(4), 21-25.
- Luo, W., Hogan, D., Tan, L. S., Kaur, B., Ng, P. T.,& Chan, M. (2014). Self-construal and students math self-concept, anxiety and achievement: An examination of achievement goals as mediators. Asian Journal of Social Psychology, 17,(3), 184-195.
- Ng, S.K.B. & Kaur, B. (2014). Using enhanced feedback to improve the learning of mathematics. The Mathematics Educator, 15,(2), 101-119.
- Toh, T.L., Tay, E.G., Quek, K.S., Leong, Y.H., Toh, P.C., Ho, F.H., Dindyal, J. (2014). Teaching Problem Solving in Secondary School Mathematics Classrooms. Journal of Science and Mathematics Education in Southeast Asia, 37,(1), 21 - 43.
- Toh, P. C., Leong Y. H., Toh, T. L., Dindyal, J., Quek, K. S., Tay, E. G., & Ho, F. H. (2014). The problem-solving approach in the teaching of number theory. International Journal of Mathematical Education in Science and Technology, 45,(2), 241-255.
- Yeo, J. B. W. (2014). Mathematical investigation proficiency among Singapore secondary school students: An exploratory study. Southeast Asian Mathematics Education Journal, 4,(1), 3-21.

## Publications of Mathematics in 2013

**Books**

- Tay, T.S., Toh, P.C., Toh, T.L., Wang, F. (2013). Singapore Mathematical Olympiads 2013 (PP. 62). Singapore: Singapore Mathematical Society.
- Koh, K. M., & Tay, E. G. (2013). Counting (PP. 209). Singapore: World Scientific.

Conference Papers published in proceedings

- Ho, W. K. (2013, December). Exact Real Calculator for Everyone. IN Yang, W.-C., Majweski, M., Alwis, T., & Rana. I. K. (EDS.) Proceedings of the Eighteenth Asian Technology Conference in Mathematics (ATCM), 1, 1-15.

Conference Papers without proceedings

- Dong, F.M., Zhao D.S., & Ho, W.K. (2013, November). On the largest outscribed equilateral triangles. PAPER PRESENTED AT The Third Lee Peng Yee Symposium (LPYS) in 2013, Singapore.
- Dong F.M., Royle G., & Wagner D. (2013, June). Chromatic Roots of a Ring of Four Cliques. PAPER PRESENTED AT 2013 International and seventh Cross-strait Conference on Graph Theory and Combinatorics, Changsha, China.
- Toh, T. L., Toh, P. C., Tay, E. G., Quek, K. S., Leong, Y. H., Dindyal, J., Ho, F. H., Dong, F. M. (2013, November). Making Mathematical Problem Solving Practical. PAPER PRESENTED AT 3rd Lee Peng Yee Symposium, Singapore.
- Zhu Y., Fearn T., & Bown S.G. (2013, December). A two-stage Bayesian image classification model.. PAPER PRESENTED AT The 9th International Chinese Statistics Association (ICSA) Conference: Challenges of Statistical Methods for Interdisciplinary Research and Big Data, Hong Kong.

Journal Articles

- Dong F.M., Ho W.K., & Lee T.Y. (2013). A Family of Identities via Arbitrary Polynomials. The College Mathematics Journal, 44,(), 43-47.
- Dong, F.M., Yan, W.G., &Zhang, F.J. (2013). On the number of perfect matchings of line graphs. Discrete Applied Mathematics, 161,(6), 794-801.
- Ho, W. K., Ho, F. H., & Lee, T. Y. (2013). Exponential function and its derivative revisited. International Journal of Mathematics Education in Science and Technology, 44,(3), 423-428.
- Shutler, P.M.E., Springham, S.V., Talebitaher, A (2013). Mask design and fabrication in coded aperture imaging. Nuclear Instruments and Methods in Physics Research Section A, 709,(NA), 129142.
- Solekhudin, I., & Ang, K. C. (2013). A DRBEM for time-dependent infiltration from periodic irrigation channels in a homogeneous soil. Electronic Journal of Boundary Elements, 11,(1), 1-12.
- Solekhudin, I., & Ang, K.C. (2013). A Dual-Reciprocity Boundary Element Method for Steady Infiltration Problems. Australian and New Zealand Industrial and Applied Mathematics Journal, 54,(), 171-180.
- Toh, P. C. (2013). On Representations by Figurate Numbers: A Uniform Approach to the Conjectures of Melham. International Journal of Number Theory, 9,(4), 1055-1071.

## Publications of Mathematics Education in 2013

**Book Chapters**

- Anthony, G., Kaur, B., Ohtani, M. & Clarke, D. (2013). The Learner's Perspective Study: Attending to Student Voice. IN Kaur, B., Anthony, G., Ohtani, M. & Clarke, D. (EDS.), Student Voice in Mathematics Classrooms around the World (PP. 1-11). Rotterdam: Sense Publishers.
- Boey, K. L., Areepattamannil, S., & Kaur, B. (2013). A multidimensional approach to understanding in mathematics among Grade 8 students in Singapore. IN B. Sriraman, J. Cai, K. Lee, F. Lianghuo, Y. Shimuzu, L. C. Sam, & K. Subramanium (EDS.), The first sourcebook on Asian research in mathematics education: Korea, Singapore, China, Japan, India, and Malaysia (PP. xx). Charlotte, NC: Information Age.
- Chan, C. M. E. (2013). Students' designing an ideal tourism route as mathematical modelling. In Stillman, G., Kaiser, G., Blum, W., & Brown, J. (Eds.), Teaching mathematical modelling: Connecting to research and practice (pp. in-press). New York: Springer.
- Chan, C. M. E. (2013). Initial perspectives of teacher professional development on mathematical modelling in Singapore: Conceptions of mathematical modelling. In Stillman, G., Kaiser, G., Blum, W., & Brown, J. (Eds.), Teaching mathematical modelling: Connecting to research and practice (pp. in-press). New York: Springer.
- Kaur, B. (2013). Participation of students in content-learning classroom discourse: A study of two grade 8 mathematics classes in Singapore. IN Kaur, B., Anthony, G., Ohtani, M. & Clarke, D. (EDS.), Student Voice in Mathematics Classrooms around the World (PP. 65-88). Rotterdam: Sense Publisher.
- Kaur, B. (2013). Nurturing Reflective Learners in Mathematics: An Introduction. IN Kaur,B. (ED.), Nurturing Reflective Learners in Mathematics (PP. 1-12). Singapore: World Scientific.
- Lee, N.H. (2013). Initial Perspective of Teacher Professional Development on Mathematical Modelling in Singapore: Problem Posing and Task Design. In Stillman, F.A., Kaiser, G., Blum, W., & Brown J.P. (Eds.), Teaching Mathematical Modelling: Connecting to Research and Practice (pp. 415-425). London: Springer.
- Mok, I.A.C., Kaur, B., Zhu, Y. & Yau, K.W. (2013). What really matters to students? A comparison between Hong Kong and Singapore mathematics lessons. IN Kaur, B., Anthony, G., Ohtani, M. & Clarke, D. (EDS.), Student Voice in Mathematics Classrooms around the World (PP. 189-208). Rotterdam: Sense Publishers.
- Ng, K. E. D., Chan, C. M. E., Widjaja, W., & Seto, C. (2013). Fostering teacher competencies in incorporating mathematical modeling in Singapore primary mathematics classrooms. In M. Inprasitha (Ed.), Innovations and exemplary practices in mathematics education: Proceedings of the 6th East Asia Regional Conference on Mathematics Education (EARCOME 6) (Vol. 3, pp. 219-228). Phuket, Thailand: Center for Research in Mathematics Education (CRME), Khon Kaen University, Thailand.
- Ng, K. E. D. (2013). Initial perspectives of teacher professional development on mathematical modelling in Singapore: A framework for facilitation. In G. Stillman, G. Kaiser, W. Blum & J. Brown (Eds.), Teaching mathematical modelling: Connecting to research and practice (pp. 427-436). Dordrecht Springer.
- Ng, K. E. D. (2013). Teacher readiness in mathematical modelling: Are there differences between pre-service and experienced teachers? In G. Stillman, G. Kaiser, W. Blum & J. Brown (Eds.), Connecting to practice: Teaching practice and the practice of applied mathematicians (pp. 339-348). Dordrecht: Springer.
- Stillman, G., & Ng, K. E. D. (2013). Embedding authentic real world tasks into secondary mathematics curricula. In A. Damlamian, J. F. Rodrigues & R. Sträßer (Eds.), Educational interfaces between mathematics and industry (pp. 299-307). Dordrecht: Springer.
- Tan, L.S., & Ang, K.C. (2013). Pre-Service Secondary School Teachers' Knowledge in Mathematical Modelling - A Case Study. IN Stillman, G., Kaiser, G., Blum, W., & Brown, J. (EDS.), International Perspectives on the Teaching and Learning of Mathematical Modelling (PP. 373-384). Melbourne: Springer.
- Wong, K. Y., Lim-Teo, S. K., Lee, N. H., Boey, K. L., Koh, C., Dindyal, J., Teo, K. M., & Cheng, L. P. (2013). Preparing teachers of mathematics in Singapore. IN Schwille, J., Ingvarson, L., & Holdgreve-Resendez, R. (EDS.), TEDS-M Encyclopedia: A Guide to Teacher Education Context, Structure, and Quality Assurance in 17 Countries: Findings from the IEA Teacher Education and Development Study in Mathematics (TEDS-M) (PP. 195-207). Amsterdam: International Association for the Evaluation of Educational Achievement (IEA).

**Books**

- Chan, C.M.E. (2013). 101 More Math Triggers (PP. 101). Singapore: Pearson.
- Kaur, B., Areepattamannil,S. & Boey, K.L. (2013). Singapore's Perspective: Highlights of TIMSS 2011 (PP. 84). Singapore: National Institute of Education, Singapore.
- Kaur, B., Anthony, G., Ohtani, M. & Clarke, D. (EDS.). (2013). Student Voice in Mathematics Classrooms around the World (PP. 250). Rotterdam: Sense Publishers.
- Kaur, B. (ED.). (2013). Nurturing Reflective Learners in Mathematics (PP. 319). Singapore: World Scientific.
- Leong, Y.H., Tay, E.G., Quek, K.S., Toh T.L., Toh, P.C., Dindyal, J., Ho, F.H., & Yap, R.A.S. (EDS.). (2013). Making Mathematics more practical (PP. 139). Singapore: World Scientific.

Conference Papers published in proceedings

- Areepattamannil, S., & Kaur, B. (2013, July). Mathematics teachers perceptions of their students mathematical competence: Relations to mathematics achievement, affect, and engagement in Singapore and Australia. IN V. Steinle, L. Ball, & C. Bardini (EDS.) Mathematics education: Yesterday, today and tomorrow (Proceedings of the 36th annual conference of the Mathematics Education Research Group of Australasia), 1, 52-56.
- Areepattamannil, S., & Kaur, B. (2013, March). Relationship of mathematics homework to mathematics achievement among grade 8 students in Singapore. IN M. Inprasitha (ED.) Proceedings of the 6th East Asia Regional Conference on Mathematics Education (EARCOME), 2, 363-370.
- Dindyal, J., Tay, E. G., Quek, K. S., Leong, Y. H., Toh, T. L., Toh, P. C., & Ho, F. H. (2013, July). Designing the Practical Worksheet for Problem Solving Tasks. IN Margolinas, C. (ED.) Proceedings of ICMI Study 22: Task Design in Mathematics Education, 1, 313-324.
- Kaur, B. (2013, November). The EPMT project - Integration of "new" knowledge into classroom practice of mathematics teachers. IN Kim, S.S., Choe, Y.H., Kwon, O.N. & Suh, B.E. (EDS.) Proceedings of the 2013 International Conference on Mathematical Education, 1, 3-15.
- Kaur, B. (2013, July). Mathematics achievement of Grade 8 students from Asia-Pacific in TIMSS 2011. IN Herbert, S.,Tillyer, J. & Spencer, T. (EDS.) Mathematics:Launching Futures - Proceedings of the 24th Biennial Conference of The Australian Association of Mathematics Teachers Inc., 1, 107-115.
- Lee, N.H., Lee, Y.Y.G., & Koo, C.C. (2013). Teachers' Promotion of Students' Metacognition in Mathematic al Modelling Lessons. In Inprasitha, M. (Ed.), Innovations and Exemplary Practices in Mathematics Education – Proceedings of the 6th East Asia Regional Conference on Mathematics Education Vol. 2 (pp. 74-84). Khon Kaen University, Thailand: Center for Research in Mathematics Education (CRME).
- Kaur, B. & Areepattamannil, S. (2013, July). Relationship of out-of-school-time mathematics lessons to mathematical literacy in Singapore and Australia. IN Steinle,V., Ball,L., & Bardini,C. (EDS.) Mathematics education: Yesterday, today and tomorrow (Proceedings of the 36th annual conference of the Mathematics Education Research Group of Australiasia), 1, 418-425.
- Ng, K. B. S. & Kaur, B. (2013, March). Enhanced feedback and the learning of mathematics in a grade 10 classroom in Singapore. IN M. Inprasitha (ED.) Proceedings 6th East Asia Regional Conference on Mathematics Education, 2, 371-378.
- Kaur, B. (2013, March). Nurturing active and reflective learners of mathematics - Some insights from the EPMT project. IN M. Inprasitha (ED.) Proceedings 6th East Asia Regional Conference on Mathematics Education, 1, 64-73.
- Leong, Y.H., Tay, E.G., & Yap, S.F. (2013). Four factors to consider in helping low achievers. In Steinle, V., Ball, L., & Bardini, C. (Eds.) Mathematics Education: Yesterday, today, and tomorrow, Proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia. (pp. 727-730). Melbourne, Australia: MERGA.
- Soon, W.M. & Ang, K.C. (2013, November). Introducing queuing theory through simulations. IN King, D., Loch, B., & Rylands, L. (EDS.) Proceedings of the 9th DELTA conference on the teaching and learning of undergraduate mathematics and statistics, 0, 124-131.
- Toh, T.L., Dindyal, J., Tay, E.G. (2013, July). Learning from the Implementers in a Design Experiment. IN V. Steinle, L. Ball, C. Bardini (ED.) Proceedings of the 36th annual conference of the Mathematics Education Research Group of Australasia, 2, 787 - 790.
- Toh, P. C., Dindyal, J., & Ho, F. H. (2013, July). Scaffolding Cards: A Strategy for Facilitating Groups in Problem Solving. IN Steinle, V., Ball, L., & Bardini, C. (EDS.) Proceedings of the 36th annual conference of the Mathematics Education Research Group of Australasia, 36, 795-798.

Conference Papers without proceedings

- Ang, K.C. (2013, March). Mathematical Modelling with High School Mathematics supported by Technology. PAPER PRESENTED AT The 2nd International Conference of Mathematics and Technology in Mathematics Education, Phnom Penh.
- Areepattamannil, S., & Kaur, B. (2013, April). Relationship of private tutoring to student performance in reading, mathematics, and science in 19 countries. PAPER PRESENTED AT the annual meeting of the American Educational Research Association (AERA), San Francisco.
- Chan, C. M. E., & Seto, C. (2013, June). Mathematical modelling in the primary school: Exemplifying the core components of the Singapore mathematics curriculum framework. Paper presented at the Redesigning Pedagogy Conference - Thinking: Time for a rethink?, Singapore.
- Chang, S.H., Lee, N.H., & Koay, P.L. (2013, March). Teaching and Learning The Concept of Equivalent Fractions Through Concrete-Pictorial-Abstract Approach: A Singapore Experience. Paper presented at 6th East Asia Regional Conference on Mathematics Education (EARCOME 6), Phuket,Thailand.
- Kaur, B. (2013, June). Developing learning experiences through mathematics trails. PAPER PRESENTED AT AME-SMS Conference 2013, Sinagpore.
- Lee, N.H. (2013, DEC). Singapore’s achievement in international benchmarking studies – Some Insight and Reflections. Keynote Address, Mathematics Matters Conference, Coventry, United Kingdom.
- Lee, N.H. (2013, April). Symposium on Mathematics Curriculum Design and Development in the East and West - The Singapore Perspective. Paper presented at NCTM 2013 Research Presession, Denver, Colorada, United States.
- Kaur, B. (2013, June). Performance of secondary two students in mathematics from Singapore in TIMSS 2011. PAPER PRESENTED AT Redesigning Pedagogy International Conference, Singapore.
- Kaur, B. & Thompson, D.R. (2013, April). Reasoning in the elementary classroom: It's easier than you think. PAPER PRESENTED AT National Council of Teachers of Mathematics Annual Meeting, Denver.
- Lee, C. P., & Dindyal, J. (2013, July). Equations Reducible to Quadratic Form: A Study of Students Errors. PAPER PRESENTED AT 37th Conference of the International Group for the Psychology of Mathematics Education, Kiel.
- Thompson, R. D. & Kaur, B. (2013, October). Reasoning in the elementary classroom: It's easier than you think. PAPER PRESENTED AT Florida Council of teachers of Mathematics 61st Annual Conference, Orlando, Florida.
- Toh, T. L., Toh, P. C., Tay, E. G., Quek, K. S., Leong, Y. H., Dindyal, J., Ho, F. H., Dong, F. M. (2013, November). Making Mathematical Problem Solving Practical. PAPER PRESENTED AT 3rd Lee Peng Yee Symposium, Singapore.

Journal Articles

- Areepattamannil, S., & Kaur, B. (2013). Factors predicting science achievement of immigrant and non-immigrant students: A multilevel analysis. International Journal of Science and Mathematics Education, 11,(5), 1183-1207.
- Chan, C. M. E., & Foong, P. Y. (2013). A conceptual framework for investigating pupils' model development during the mathematical modelling process. The Mathematics Educator, 15(1), 1-29.
- Cheng, L. P., Ho, W. K. & Lee, T. Y (2013). Perimeter in the primary school mathematics curriculum of Singapore. Mathematics Teaching, 236,(), 27-30.
- Cheng, L. P. (2013). The design of a mathematics problem using real-life context for young children. Journal of Science and Mathematics Education in Southeast Asia, 36,(1), 23-43.
- Leong, Y.H, Yap, S. F., Quek, K.S., Tay, E.G., Tong, C.L., (2013). Encouraging problem-solving disposition in a Singapore classroom. International Journal of Mathematical Education in Science and Technology, 44,(8), 1257-1273.
- Luo, W. Aye, K. M. Hogan, D. Kaur, B. Chan, M. C. Y. (2013). Parenting behaviors and learning of Singapore students:The mediational role of achievement goals. Motivation and Emotion, 37,(2), 274-285.
- Leong, Y.H, Yap, S. F., Quek, K.S., Tay, E.G., Tong, C.L., (2013). Encouraging problem-solving disposition in a Singapore classroom. International Journal of Mathematical Education in Science and Technology, 44(8), 1257-1273.
- Shimizu, Y. & Kaur, B. (2013). Learning from similarities and differences: A reflection on the potentials and constraints of cross-national studies in mathematics. ZDM - The International Journal of Mathematics Education, 45,(1), 1-5.
- Thompson, D.R., Kaur, B., Koyama, M. & Bleiler, S.K. (2013). A longitudinal view of mathematics achievement of primary students: Case studies from Japan, Singapore, and the United States. ZDM - The International Journal of Mathematics Education, 45,(1), 73-89.
- Toh, T.L., Kaur, B., Koay, P.L. (2013). Singapore Pre-service Secondary Mathematics Teachers Content Knowledge: Findings from an International Comparative Study. International Journal of Mathematics Teaching and Learning, 2013,(2), 1-22.
- Toh, T.L., Quek, K.S., Tay, E.G., Leong, Y.H., Toh, P.C., Ho, F.H., Dindyal, J. (2013). Infusing Problem Solving into Mathematics Content Course for Pre-service Secondary School Mathematics Teachers. The Mathematics Educator, 15,(1), 98 - 120.

## Publications of Mathematics in 2012

**Books**

- Tay, T.S., Toh, P.C., Toh, T.L., Wang, F. (2012). Singapore Mathematical Olympiads 2012 (PP. 62). Singapore: Singapore Mathematical Society.

Conference Papers published in proceedings

- Zhu,Y. & Tan,T.L. (2012, May). Discriminating between wild-grown and cultivated Ganoderma lucidum by Fourier transform infrared spectroscopy and chemometric methods. IN (EDS.) Proceedings of the 3rd Asian Near Infrared Symposium, 1, 48-49.

Conference Papers without proceedings

- F.M. Dong (2012, July). Matrices and Matching Polynomials. PAPER PRESENTED AT The 10th International Conference on Matrix Theory and its Applications in China, Guiyang.
- F.M. Dong, &K.M. Koh (2012, July). The 3-connectivity of a Graph and the Multiplicity of Zero 2 of its Chromatic Polynomial. PAPER PRESENTED AT The Fifth National Conference of Combinatorics and Graph Theory in China, Luoyang.
- Dong F.M. (2012, December). On G-parking functions and spanning trees. PAPER PRESENTED AT The International workshop on discrete mathematics in 2012, Fuzhou, China.

Journal Articles

- Dong, F.M., & Koh, K.M. (2012). The 3-connectivity of a Graph and the Multiplicity of Zero `2' of its Chromatic Polynomial. J. Graph Theory, 70,(3), 262-283.
- Dong F.M. (2012). A New Expression for Matching Polynomials. Discrete Mathematics, 312, 803807.
- Koh K.M., Ting T.S., & Dong F.M.* (2012). A Characterisation of Cycle-Disjoint Graphs with Unique Minimum Weakly Connected Dominating Set. Australia J. of Combinatorics, 54, 177-187.
- Ho, W. K., Ho, F. H., & Lee, T. Y. (2012). An elementary proof of the identity cot theta = 1/theta + sum_{k=1}^infty frac{2 theta}{theta^2 - k^2 pi^2}. International Journal of Mathematics Education in Science and Technology, 43,(8), 1085-1092.
- Shutler P.M.E., Talebitaher A., Springham S.V. (2012). Signal-to-noise ratio in coded aperture imaging. Nuclear Instruments and Methods in Physics Research A, 669,(), 22-31.
- Solekhudin, I., & Ang, K.C. (2012). Suction Potential and Water Absorption from Periodic Channels in Different Types of Homogeneous Soils. Electronic Journal of Boundary Elements, 10(2), 42-55.
- Solekhudin, I., & Ang, K.C. (2012). A DRBEM with A Predictor-Corrector Scheme for Steady Infiltration from Periodic Channels with Root-Water Uptake. Engineering Analysis with Boundary Elements, 36(8), 1199-1204.
- Springham, S. V.; Talebitaher, A.; Shutler, P. M. E.; Lee, S.; Rawat, R. S.; Lee, P. (2012). Coded Aperture Imaging of Fusion Source in a Plasma Focus Operated with pure D2 and a D2-Kr Gas Admixture. Applied Physics Letters, 101,(11), 114104.
- Talebitaher, A.; Shutler, P. M. E.; Springham, S. V.; Rawat, R. S.; Lee, P. (2012). Coded Aperture Imaging of Alpha Source Spatial Distribution. Radiation Measurements, 47,(10), 992-999.
- Talebitaher, A. R., Springham, S. V., Shutler, P. M. E., Rawat, R. S., Lee, P. (2012). Imaging of Plasma Focus Fusion by Proton Coded Aperture Technique. Journal of Fusion Energy, 31,(4), 234-241.
- Toh, P. C. (2012). Ramanujan type identities and congruences for partition pairs. Discrete Mathematics, 312,(6), 1244-1250.

## Publications of Mathematics Education in 2012

**Book Chapters**

- Dindyal, J. (2012). Commentary on the Chapter by Wolfgang Schlӧglmann,"Mathematics Education for Adults: Can it Reduce Inequality in Society?". IN Forgasz, H., & Rivera, F. (EDS.), Towards Equity in Mathematics Education: Advances in Mathematics Education (PP. 309-313). Berlin: Springer-Verlag Berlin Heidelberg.
- Hogan, D., Rahim, R., Chan, M., Kaur, B. & Towndrow, P. (2012). Disciplinarity and the logic of instructional tasks in secondary 3 mathematics lessons in Singapore. IN Gillies, R. (ED.), Pedagogy: New developments in the learning sciences (PP. 337-369). NY: Nova Publishers.
- Kaur, B. & Toh, T.L. (2012). Reasoning, Communication and Connections in Mathematics: An Introduction. IN Kaur, B. & Toh, T.L. (EDS.), Reasoning, Communication and Connections in Mathematics (PP. 1-10). Singapore: World Scientific.
- Kaur, B. (2012). Some "What" strategies that advance reasoning and communication in primary mathematics classrooms. IN Kaur, B. & Toh, T.L. (EDS.), Reasoning, Communication and Connections in Mathematics (PP. 75-88). Singapore: World Scientific.
- Kaur, B. (2012). The Circular Flower Bed Problem. IN Blum, W., Ferri, R.B. & Maab, K. (EDS.), Mathematikunterricht im Kontext von Realitat, Kultur und Lehrerprofessionalitat - Festschrift fur Gabriele Kaiser (PP. 90-97). Deutschland: Springer Spektrum.
- Kaur, B. & Ghani, M. (2012). Learning Experiencies of Low Attainers. IN Kaur, B. & Ghani, M. (EDS.), Low Attainers in Primary Mathematics (PP. 133-158). Singapore: World Scientific press.
- Kaur, B., Koay, P.L., Foong, P.Y. & Sudarshan, A. (2012). An Exploratory Study on Low Attainers in Primary Mathematics (LAPM). IN Kaur, B. & Ghani, M. (EDS.), Low Attainers in Primary Mathematics (PP. 1 - 18). Singapore: World Scientific Press.
- Kaur, B., Koay, P.L., Foong, P.Y. & Chang, S.H. (2012). Recommendations for Teachers. IN Kaur, B. & Ghani, M. (EDS.), Low Attainers in Primary Mathematics (PP. 159-176). Singapore: World Scientific Press.
- Pang, W. K. A., & Dindyal, J. (2012). Students Reasoning Errors in Writing Proof by Mathematical Induction. IN Kaur, B., & Toh, T.L. (EDS.), Reasoning, Communications and Connections in Mathematics (PP. 215-238). Singapore: World Scientific.

**Books**

- Chan, C. M. E. (2012). 101 Math Triggers (PP. 101). Singapore: Pearson.
- Fong, H. K., Gan, K. S., & Ng, W. L. (2012). Math in Focus: Singapore Math Student Book 6A (PP. 286). Boston: Marshall Cavendish Education.
- Fong, H. K., Gan, K. S., & Ng, W. L. (2012). Math in Focus: Singapore Math Teacher's Edition 6A (PP. 314). Boston: Marshall Cavendish Education.
- Fong, H. K., Gan, K. S., & Ng, W. L. (2012). Math in Focus: Singapore Math Teacher's Edition 6B (PP. 362). Boston: Marshall Cavendish Education.
- Fong, H. K., Gan, K. S., & Ng, W. L. (2012). Math in Focus: Singapore Math Student Book 6B (PP. 320). Boston: Marshall Cavendish Education.
- Kaur, B. & Toh, T.L. (EDS.). (2012). Reasoning, Communication and Connections in Mathematics (PP. 326). Singapore: World Scientific.
- Kaur, B., Boey, K.L., Areepattamannil, S. & Chen, Q. (2012). Singapore's Perspective: Highlights of TIMSS 2007 (PP. 80). Singapore: National Institute of Education.
- Kaur, B. & Ghani, M. (EDS.). (2012). Low Attainers in Primary Mathematics (PP. 220). Singapore: World Scientific.
- Ng, K. E. D., & Lee, N. H. (2012). Mathematical modelling: A collection of classroom tasks. Singapore: Alston Publishing House Private Limited.
- Ng, W. L. (2012). Teaching and Learning Calculus with the TI-Nspire (PP. 179). Singapore: Pearson Prentice Hall.
- Toh, T.L., Quek, K.S., Tay, E.G., Toh, P.C., Ho, F.H., Leong, Y.H., Dindyal, J. (2012). A Problem Solving Approach to Differential Equations - Mathematics Practical (PP. 82). Singapore: Pearson Publishing.

Conference Papers published in proceedings

- Ang, K.C. (2012). Mathematical Modelling as a Learning Experience in the Classroom. In Proceedings of the 17th Asian Technology Conference in Mathematics (pp. 84-92). Bangkok, Thailand: ATCM.
- Areepattamannil, S., & Kaur, B. (2012, July). Influences of self-perceived competence in mathematics and positive affect toward mathematics on mathematics achievement of adolescents in Singapore. IN J. Dindyal, L. P. Cheng, & S. F. Ng (EDS.) Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia, 1, 91-97.
- Cheang, W. K. (2012). Bias of ML Estimator for Multivariate Regression Model with Vector AR(1) Noise. In Yang, W. C., Majewski, M., de Alwis, T., & Khairiree, K. (Eds.) Proceedings of the 17th Asian Technology Conference in Mathematics (pp. 215-224). Blacksburg, United States: Mathematics and Technology, LLC.
- Chua, B. L., & Hoyles, C. (2012). Seeing through students' eyes: The best-help strategy for pattern generalisation. In Proceedings of the 12th International Congress on Mathematics Education (pp. 2012 - 2021). Seoul, Korea: ICME.
- Chua, B. L., & Hoyles, C. (2012). The effect of different pattern formats on secondary two students' ability to generalise. In Tso, T. Y. (Ed.) Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education, Vol 2 (pp. 155 - 162). Taipei, Taiwan: PME.
- Ho, F. H. & Ng, W. L. (2012, July). How Prospective Mathematics Teachers Solve The Equation f(x) = f^-1(x) Using The Graphing Calculators. IN (EDS.) ICME-12 The 12th International Congress On Mathematical Education Pre-Proceedings, 1, 3537-3546.
- Ho, W. K., Ho, F. H., & Dindyal J. (2012, July). Pre-service teachers' use of symmetry of quadratic graphs in problem solving. IN (EDS.) 12th International Congress on Mathematics Education (ICME), 12, 7171 (1-9).
- Hong, S.E., Lee, N.H., & Yeo, J.S.D. (2012). A metacognitive approach in kickstarting the understanding and planning phases of mathematical problem solving. In ICME-12 (Ed.) ICME-12 Pre-proceedings (Electronic) (pp. 4615-4623). Seoul, Korea: ICME-12.
- Kaur, B. (2012, April). Towards professionalism: The learning journey of mathematics teachers in Singapore. IN Cho, C., Lee, S., Choe Y. (ED.) Proceedings of the Korean Society of Mathematics Education 2012 Spring Conference on Mathematical Education, 1, 3-10.
- Kaur, B. (2012, July). Nurturing excellence in mathematics instruction: Singapore's perspective. IN Tso.T.Y. (ED.) Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education, 1, 138-141.
- Kaur, B., & Areepattamannil, S. (2012, July). Influences of metacognitive and self-regulated learning strategies for reading on mathematical literacy of adolescents in Australia and Singapore. IN J. Dindyal, L. P. Cheng, & S. F. Ng (EDS.) Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia, 1, 385-392.
- Ng, K. E. D., Widjaja, W., Chan, C. M. E., & Seto, C. (2012). Activating teacher critical moments through reflection on mathematical modelling facilitation. . In J. Brown & T. Ikeda (Eds.), The 12th International Congress on Mathematical Education (ICME-12) electronic pre-conference proceedings TSG17: Mathematical applications and modelling in the teaching and learning of mathematics (pp. 3347-3356). Korea: Seoul: ICME12.
- Ng, W. L. & Sun, Y. D. (2012, December). The effect of a portable computer algebra system (CAS) on pre-university students attitudes towards CAS. IN Yang, W. C., Majewski, M., de Alwis, T., & Khairiree, K. (EDS.) Proceedings of the 17th Asian Technology Conference in Mathematics, 1, 246-256.
- Quek, K.S., Leong, Y.H., Tay, E.G., Toh, T.L., Dindyal, J. (2012, July). Diffusion of the Mathematics Practical Paradigm in the Teaching of Problem Solving: Theory and Praxis. IN Dindyal, J., Cheng, L.P., Ng, S.F. (ED.) Proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia, 1, 618 - 624.
- Seto, C., Thomas, M., Ng, K. E. D., Chan, C. M. E., & Widjaja, W. (2012). Mathematical modelling for Singapore primary classrooms: From a teacher’s lens. In J. Dindyal, L. P. Cheng & S. F. Ng (Eds.), Mathematics education - Expanding horizons: Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia (pp. 672-679). Singapore: MERGA, Inc.
- Tan, L.S., & Ang, K.C. (2012). Pedagogical Content Knowledge in Mathematical Modelling Instruction. In 35th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 714-721). Singapore: MERGA.
- Toh, P.C., Toh, T.L., Ho, F.H., Quek, K.S. (2012, July). Use of Practical Worksheet in Teacher Education at the Undergraduate and Postgraduate Levels. IN Dindyal, J., Cheng L.P., Ng, S.F. (ED.) Proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia, 35, 734 - 745.
- Toh, T.L., Quek, K.S., Tay, E.G., Leong, Y.H., Toh, P.C., Dindyal, J., Ho, F.H. (2012, December). Selection of problems for a problem solving module: from a specialised school to the mainstream schools. IN Cheeseman, J. (ED.) It's my math: Personalised mathematics learning, 1, 114 - 123.
- Yeo, J. B. W. (2012, July). Problem posing in mathematical investigation [refereed]. IN Dindyal, J., Cheng, L. P., & Ng, S. F. (EDS.) Proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia: Mathematics Education: Expanding Horizons, 0, 809-816.

Conference Papers without proceedings

- Ang, K.C. (2012, September). Mathematics Teachers Preparation - the Singapore experience. Paper presented at Mathematics and Science Education Colloquium, Kuala Lumpur, Malaysia.
- Chan, C. M. E. (2012, July). Engaging pupils in mathematical modelling. Paper presented at Mathematics Education Research Group of Australiasia, Singapore.
- Cheang, W. K., Teo, K. M., & Zhao, D. (2012, July). Assessing mathematical competencies using disciplinary tasks. Paper presented at 12th International Congress on Mathematical Education, Seoul, Korea.
- Kaur, B. (2012, July). EPMT project: A hybrid model of PD for mathematics teachers. PAPER PRESENTED AT International Congress on Mathematical Education, Seoul.
- Lee, N.H. (2012, SEP). Pedagogy and Assessment - Linking Teaching and Learning in the Mathematics Classroom. Keynote Address, Conference to mark Launch of the South Zone Centre of Excellence for Mathematics, Singapore, Singapore.
- Lee, N.H. (2012, SEP). Games and Mathematical Learning - Lesson Learnt. Keynote Address, East Zone Centre of Excellence Mathematics Conference on Games in the Mathematics Classrooms, Singapore
- Leong, Y. H., Toh, P. C., Dindyal, J., Ho, F. H., & Tay, E. G. (2012, July). Diffusion of the mathematics practical to mainstream secondary schools in Singapore. PAPER PRESENTED AT 35th Annual Conference of the Mathematics Education Research Group of Australasia, Singapore.
- Ng, W. L. (2012, March). Developing Pre-service and In-service Teachers Technological Pedagogical Content Knowledge. PAPER PRESENTED AT The 5th International Conference on Science and Mathematics Education in Developing Countries, Phnom Penh.
- Syed, M. J., & Dindyal, J. (2012, November). Students Misconceptions about Limits. PAPER PRESENTED AT Science Mathematics and Technology Education Conference, Muscat.

Journal Articles

- Chan, C. M. E., Ng, K. E. D., Widjaja, W., & Seto, C. (2012). Assessment of primary 5 students' mathematical modelling competencies. Journal of Science and Mathematics Education in Southeast Asia, 35,(2), 146-178.
- Cheng, L. P., Lee, P.Y. (2012). A Singapore case of lesson study. The Mathematics Educator, 21,(2), 10-33.
- Dindyal, J., Tay, E. G., Toh, T. L., Leong, Y. H., & Quek, K. S. (2012). Mathematical Problem Solving for Everyone: A New Beginning. The Mathematics Educator, 13,(), 51-70.
- Kaur, B. (2012). Enhancing the pedagogy of mathematics teachers' project: A partnership between university scholars and classroom teachers. Experiments in Education, 40,(4), 35-43.
- Lee, N.H., & Ferrucci, B. (2012). Enhancing Learning Of Fraction Through The Use Of Virtual Manipulatives. Research Journal of Mathematics & Technology, 1(2), 97-110.
- Leong, Y.H., Toh, T.L., Tay, E.G., Quek, K.S., & Dindyal, J. (2012). Relooking "Look Back": A student's attempt at problem solving using Polya's model. International Journal of Mathematical Education in Science and Technology, 43,(3), 357-369.
- Ng, W. L. & Ho, F. H. (2012). On Solving the Equation f(x) = f^(-1)(x). Mathematics Teaching, 228,(), 40-43.
- Tay, E. G., & Leong, Y. H. (2012). Explaining definitions in secondary school mathematics: a^0, a^n, 0!. Australian Senior Mathematics Journal, 26(2), 28-37.
- Yeo, J. B. W. (2012). Game combining magic square and tic-tac-toe. Mathematics Teacher, 106,(1), 34-39.
- Yeung, A. S., Lim, K. M., Tay, E. G., Lam-Chiang, A. C. & Hui, C. (2012). Relating use of digital technology by pre-service teachers to confidence: A Singapore survey. Australasian Journal of Educational Technology, 28(8), 1317-1332.

## Publications of Mathematics in 2011

Conference Papers published in proceedings

- Zhu,Y., Fearn,T., & Bown,S.G. (2011, September). A Bayesian image classification model for diagnosis of sentinel lymph node metastases in breast cancer.. PAPER PRESENTED AT Second Singapore Conference on Statistical Science, Singapore.

Journal Articles

- Dong F.M.* & Jackson B. (2011). A zero-free interval for chromatic polynomials of nearly 3-connected plane graphs. SIAM J. On Discrete Mathematics, 25, 1103-1118.
- Dong F.M.*, Royle G., & Wagner D. (2011). Chromatic roots of a ring of four cliques. Electronic Journal of Combinatorics, 18, #151.
- Xing, R., Zhou, B., & Dong F.M. (2011). On atom-bond connectivity index of connected graphs. Discrete Applied Mathematics, 159, 1617-1630.
- Shutler, P. M. E. (2011). Yet More Frogs. International Journal of Mathematical Education in Science and Technology, 42,(4), 524-533.
- Toh, P. C. (2011). Differential equations satisfied by Eisenstein series of level 2. The Ramanujan Journal, 25,(2), 179-194.
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