# Publications

## 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.
- Zhao, D. (2011). Maximal outboxes of quadrilaterals, International Journal of Math. Education in Science and Technology, Vol. 42(4), pp. 534-540.
- Zhao, D. (2011). A partial order on the set of continuous endomappings, Houston J. of Mathematics , Vol. 37(1), 311 – 326.