Academic Profile : Faculty
Assoc Prof Toh Pee Choon
Deputy Head, Mathematics & Mathematics Education
Associate Professor, National Institute of Education - Mathematics & Mathematics Education
Email
External Links
Journal Articles (Central)
Lin, B.L.S., Peng, L., & Toh, P.C. (2021). Weighted generalized crank moments for k-colored partitions and Andrews-Beck type congruences. Discrete Mathematics, 344(8), Article 112450 (13 pages).
Lin, B. L. S., Peng, L., & Toh, P. C. (2021). A variation of the Andrews'Stanley partition funct ion and two interesting q-series identities. The Ramanujan Journal, 56(1), 297-307.
Aygin, Z. S., & Toh, P. C. (2019). When is the derivative of an eta quotient another eta quotient?. Journal of Mathematical Analysis and Applications, 480(1), Article 123366 (22 pages).
Chan, H. H., & Toh, P. C. (2019). On a symmetric identity of Ramanujan involving the sum of two squares function. Journal of Mathematical Analysis and Applications, 473(2), 1234-1243.
Kim, B., & Toh, P. C. (2018). On the crank function of cubic partition pairs. Annals of Combinatorics, 22(4), 80 3-818.
Toh, T.L., Toh, P.C., Teo, K.M., & Zhu, Y. (2022). On Pre-Service Teachers' Content Knowledge of School Calculus: An Exploratory Study. European Journal of Mathematics and Science Education, 3(2), 91-103.
Tay, E. G., Teo, K. M., Toh, T.L., Toh, P. C., Ho, W. K., Quek, K. S.,& Leong , Y. H. (2022). Teaching undergraduate mathematics ' a problem solving course for first year. Teaching Mathematics and Computer Science, 20(2), 183-206.
Toh, P. C. (2021). Twelve Erroneous Proofs. The Mathematician Educator, 2(2), 76-85.
Toh, T.L., Toh, P.C., Teo, K.M., Zhu, Y. (20 21). A study of pre-service teachers' performance on two calculus tasks on differentiation and limit. European Journal of Mathematics and Science Education, 1(1), 1-13.
Leong, Y.H., Toh, T.L., Tay, E.G., Quek, K.S., Toh, P.C., & Dindyal, J. (2021). Scaling up of continual professional devel opment for mathematics problem solving in Singapore schools. International Journal of Science and Mathematics Education, 19(6), 1291'1310.
Toh, P. C., Ho, W. K., Leong, Y. H., Tay, E. G., & Tong, C. L. (2020). Four Solutions of a Geometry Problem. The Mathematician Educator, 1(2), 75 -82.
Isnaini, U., Melham, R., & Toh, P.C. (2019). The Number of Representations of a Positive Integer by Triangular, Square and Decagonal Numbers. Bulletin of the Korean Mathematical Society, 56(5), 1143-1157.
Ho, T. P. N., & Toh, P. C. (2018). A general transformation for theta series as sociated 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.
Toh, P. C. (2016). On certain pair s of q-series identities. The Ramanujan Journal, 40(2), 359-365.
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 mod ulo 7. The Electronic Journal of Combinatorics, 22(1), #P1.25.
Toh, P.C. & Tay, E. G. (2014). What is the next number in this sequence?. Mathematical Spectrum, 46(3), 125-131.
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.
Toh, P. C. (2013). On Representations by Figurate Numbers: A Uniform Approach to the Conjectures of Melham. International Journal of Number Theor y, 9(4), 1055-1071.
Toh, P. C. (2012). Ramanujan type identities and congruences for partition pairs. Discrete Mathematics, 312(6), 1244-1250.
Toh, P. C. (2011). Differential equations satisfied by Eisenstein series of level 2. The Ramanujan Journal, 25(2), 179-194.
Chapman, R., Hart, W. B. & Toh, P. C. (2010). A new class of theta function identities in two variables. Journal of Combinatorics and Number Theory, 2(3), 201-208.
Chan, H. H. & Toh, P. C. (2010). New analogues of Ramanujan's partition identities. Journal of Number Theory, 130(9), 1898-1913.
Toh, P. C. (2010). Representations of certain binary quadratic forms as Lambert series. Acta Arithmetica, 143(3), 227-237.
Cooper, S. & Toh, P. C. (2009). Quintic and septic Eisenstein series. The Ramanujan Journal, 19(2), 163-181.
Cooper, S. & Toh, P. C. (2008). Determinant iden tities for theta functions. Journal of Mathematical Analysis and Applications, 347(1), 1-7.
Toh, P. C. (2008). Generalized mth order Jacobi theta functions and the Macdonald identities. International Journal of Number Theory, 4(3), 461-474.
Chan, H. H., Cooper, S. & Toh, P. C. (200 7). Ramanujan's Eisenstein series and powers of Dedekind's eta-function. Journal of the London Mathematical Society, 75(1), 225-242.
Chan, H. H., Cooper, S., & Toh, P. C. (2006). The 26th power of Dedekind's eta function. Advances in Mathematics, 207(2), 532-543.
Lin, B. L. S., Peng, L., & Toh, P. C. (2021). A variation of the Andrews'Stanley partition funct ion and two interesting q-series identities. The Ramanujan Journal, 56(1), 297-307.
Aygin, Z. S., & Toh, P. C. (2019). When is the derivative of an eta quotient another eta quotient?. Journal of Mathematical Analysis and Applications, 480(1), Article 123366 (22 pages).
Chan, H. H., & Toh, P. C. (2019). On a symmetric identity of Ramanujan involving the sum of two squares function. Journal of Mathematical Analysis and Applications, 473(2), 1234-1243.
Kim, B., & Toh, P. C. (2018). On the crank function of cubic partition pairs. Annals of Combinatorics, 22(4), 80 3-818.
Toh, T.L., Toh, P.C., Teo, K.M., & Zhu, Y. (2022). On Pre-Service Teachers' Content Knowledge of School Calculus: An Exploratory Study. European Journal of Mathematics and Science Education, 3(2), 91-103.
Tay, E. G., Teo, K. M., Toh, T.L., Toh, P. C., Ho, W. K., Quek, K. S.,& Leong , Y. H. (2022). Teaching undergraduate mathematics ' a problem solving course for first year. Teaching Mathematics and Computer Science, 20(2), 183-206.
Toh, P. C. (2021). Twelve Erroneous Proofs. The Mathematician Educator, 2(2), 76-85.
Toh, T.L., Toh, P.C., Teo, K.M., Zhu, Y. (20 21). A study of pre-service teachers' performance on two calculus tasks on differentiation and limit. European Journal of Mathematics and Science Education, 1(1), 1-13.
Leong, Y.H., Toh, T.L., Tay, E.G., Quek, K.S., Toh, P.C., & Dindyal, J. (2021). Scaling up of continual professional devel opment for mathematics problem solving in Singapore schools. International Journal of Science and Mathematics Education, 19(6), 1291'1310.
Toh, P. C., Ho, W. K., Leong, Y. H., Tay, E. G., & Tong, C. L. (2020). Four Solutions of a Geometry Problem. The Mathematician Educator, 1(2), 75 -82.
Isnaini, U., Melham, R., & Toh, P.C. (2019). The Number of Representations of a Positive Integer by Triangular, Square and Decagonal Numbers. Bulletin of the Korean Mathematical Society, 56(5), 1143-1157.
Ho, T. P. N., & Toh, P. C. (2018). A general transformation for theta series as sociated 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.
Toh, P. C. (2016). On certain pair s of q-series identities. The Ramanujan Journal, 40(2), 359-365.
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 mod ulo 7. The Electronic Journal of Combinatorics, 22(1), #P1.25.
Toh, P.C. & Tay, E. G. (2014). What is the next number in this sequence?. Mathematical Spectrum, 46(3), 125-131.
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.
Toh, P. C. (2013). On Representations by Figurate Numbers: A Uniform Approach to the Conjectures of Melham. International Journal of Number Theor y, 9(4), 1055-1071.
Toh, P. C. (2012). Ramanujan type identities and congruences for partition pairs. Discrete Mathematics, 312(6), 1244-1250.
Toh, P. C. (2011). Differential equations satisfied by Eisenstein series of level 2. The Ramanujan Journal, 25(2), 179-194.
Chapman, R., Hart, W. B. & Toh, P. C. (2010). A new class of theta function identities in two variables. Journal of Combinatorics and Number Theory, 2(3), 201-208.
Chan, H. H. & Toh, P. C. (2010). New analogues of Ramanujan's partition identities. Journal of Number Theory, 130(9), 1898-1913.
Toh, P. C. (2010). Representations of certain binary quadratic forms as Lambert series. Acta Arithmetica, 143(3), 227-237.
Cooper, S. & Toh, P. C. (2009). Quintic and septic Eisenstein series. The Ramanujan Journal, 19(2), 163-181.
Cooper, S. & Toh, P. C. (2008). Determinant iden tities for theta functions. Journal of Mathematical Analysis and Applications, 347(1), 1-7.
Toh, P. C. (2008). Generalized mth order Jacobi theta functions and the Macdonald identities. International Journal of Number Theory, 4(3), 461-474.
Chan, H. H., Cooper, S. & Toh, P. C. (200 7). Ramanujan's Eisenstein series and powers of Dedekind's eta-function. Journal of the London Mathematical Society, 75(1), 225-242.
Chan, H. H., Cooper, S., & Toh, P. C. (2006). The 26th power of Dedekind's eta function. Advances in Mathematics, 207(2), 532-543.
Books (Central)
Toh, P. C., & Chua, B. L. (Eds.). (2018). Mathematics Instruction: Goals, Tasks and Activities (PP. 279). Singapore: World Scientific.
Toh, P. C., & Kaur, B. (Eds.). (2016). Developing 21st Century Competencies in the Mathematics Classroom (PP. 281). Singapore: World Scientific.
Toh, P.C., Toh, T.L., & Kaur, B. (Eds.). (2014). Learning experiences to promote mathematics learning (PP. 300). Singapore: World Scientific.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2020). Singapore Mathematical Olympiads 2020 (PP. 42). Singapore: Singapore Mathematical Soc iety.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2021). Singapore Mathematical Olympiads 2021 (PP. 44). Singapore: Singapore Mathematical Society.
Ku, C. Y., Tay, T. S., Toh P. C., & Toh, T. L. (2019). Singapore Mathematical Olympiads 2019 (PP. 58). Singapore: Singapore Mathe matical Society.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2018). Singapore Mathematical Olympiads 2018 (PP. 56). Singapore: Singapore Mathematical Society.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2017). Singapore Mathematical Olympiads 2017 (PP. 59). Singapore: Sin gapore Mathematical Society.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2016). Singapore Mathematical Olympiads 2016 (PP. 65). Singapore: Singapore Mathematical Society.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2015). Singapore Mathematical Olympiads 2015 (PP. 70). Si ngapore: Singapore Mathematical Society.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2014). Singapore Mathematical Olympiads 2014 (PP. 65). Singapore: Singapore Mathematical Society.
Tay, T.S., Toh, P.C., Toh, T.L., Wang, F. (2013). Singapore Mathematical Olympiads 2013 (PP. 6 2). Singapore: Singapore Mathematical Society.
Tay, T.S., Toh, P.C., Toh, T.L., Wang, F. (2012). Singapore Mathematical Olympiads 2012 (PP. 62). Singapore: Singapore Mathematical Society.
Toh, P. C., & Kaur, B. (Eds.). (2016). Developing 21st Century Competencies in the Mathematics Classroom (PP. 281). Singapore: World Scientific.
Toh, P.C., Toh, T.L., & Kaur, B. (Eds.). (2014). Learning experiences to promote mathematics learning (PP. 300). Singapore: World Scientific.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2020). Singapore Mathematical Olympiads 2020 (PP. 42). Singapore: Singapore Mathematical Soc iety.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2021). Singapore Mathematical Olympiads 2021 (PP. 44). Singapore: Singapore Mathematical Society.
Ku, C. Y., Tay, T. S., Toh P. C., & Toh, T. L. (2019). Singapore Mathematical Olympiads 2019 (PP. 58). Singapore: Singapore Mathe matical Society.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2018). Singapore Mathematical Olympiads 2018 (PP. 56). Singapore: Singapore Mathematical Society.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2017). Singapore Mathematical Olympiads 2017 (PP. 59). Singapore: Sin gapore Mathematical Society.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2016). Singapore Mathematical Olympiads 2016 (PP. 65). Singapore: Singapore Mathematical Society.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2015). Singapore Mathematical Olympiads 2015 (PP. 70). Si ngapore: Singapore Mathematical Society.
Ku, C. Y., Tay, T. S., Toh, P. C., & Toh, T. L. (2014). Singapore Mathematical Olympiads 2014 (PP. 65). Singapore: Singapore Mathematical Society.
Tay, T.S., Toh, P.C., Toh, T.L., Wang, F. (2013). Singapore Mathematical Olympiads 2013 (PP. 6 2). Singapore: Singapore Mathematical Society.
Tay, T.S., Toh, P.C., Toh, T.L., Wang, F. (2012). Singapore Mathematical Olympiads 2012 (PP. 62). Singapore: Singapore Mathematical Society.
Conference Papers (Central)
Conference Papers Without Proceedings
Toh, P. C., Toh, T. L., Zhu, Y., & Teo, K. M. (2019, July). Understanding Students' Conceptual Understanding of Continuity and Differentiability. Paper presented at 42nd Annual Conference of the Mathematics Education Research Group of Australa sia, Perth, Australia.
Chan, H. H., & Toh, P. C. (2019, June). On a Symmetric Identity of Ramanujan. Paper presented at Analytic and Combinatorial Number Theory: The Legacy of Ramanujan, Urbana-Champaign, United States.
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., 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 pr esented at 13th International Congress on Mathematical Education, Hamburg, Germany.
Toh, P. C. (2015, July). On certain pairs of q-series identities. Paper presented at 29th Journee Arithmetiques, Debrecen, Hungary.
Toh, P. C. (2019, November). Intertwining q-series and their connectio n to partitions. Paper presented at 12th International Conference on Mathematics and Mathematics Education in Developing Countries, Vientiane, Laos.
Toh, P. C., Zhu, Y., & Toh, T. L. (2018, November). Mathematics Undergraduates' Understanding of Calculus. Paper presented at 11th Interna tional Conference on Mathematics and Mathematics Education in Developing Countries, Vientiane, Laos.
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 Deve loping Countries, Mandalay, Myanmar.
Toh, P. C. (2015, December). The Teaching of Problem Solving in Undergraduate Mathematics. Paper presented at The Eight International Conference on Science and Mathematics Education in Developing Countries, Yangon, Myanmar.
Conference Papers Without Proceedings
Toh, P. C., Toh, T. L., Zhu, Y., & Teo, K. M. (2019, July). Understanding Students' Conceptual Understanding of Continuity and Differentiability. Paper presented at 42nd Annual Conference of the Mathematics Education Research Group of Australa sia, Perth, Australia.
Chan, H. H., & Toh, P. C. (2019, June). On a Symmetric Identity of Ramanujan. Paper presented at Analytic and Combinatorial Number Theory: The Legacy of Ramanujan, Urbana-Champaign, United States.
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., 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 pr esented at 13th International Congress on Mathematical Education, Hamburg, Germany.
Toh, P. C. (2015, July). On certain pairs of q-series identities. Paper presented at 29th Journee Arithmetiques, Debrecen, Hungary.
Toh, P. C. (2019, November). Intertwining q-series and their connectio n to partitions. Paper presented at 12th International Conference on Mathematics and Mathematics Education in Developing Countries, Vientiane, Laos.
Toh, P. C., Zhu, Y., & Toh, T. L. (2018, November). Mathematics Undergraduates' Understanding of Calculus. Paper presented at 11th Interna tional Conference on Mathematics and Mathematics Education in Developing Countries, Vientiane, Laos.
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 Deve loping Countries, Mandalay, Myanmar.
Toh, P. C. (2015, December). The Teaching of Problem Solving in Undergraduate Mathematics. Paper presented at The Eight International Conference on Science and Mathematics Education in Developing Countries, Yangon, Myanmar.
Keynote Speeches & Editorship of Special Issues (Central)
Keynote Addresses
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.
Toh, P. C. (2016, June). MTC2016: Empoweri ng Mathematics Learners. KEYNOTE ADDRESS, Discovering Mathematics, Singapore.
Keynote Addresses
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.
Toh, P. C. (2016, June). MTC2016: Empoweri ng Mathematics Learners. KEYNOTE ADDRESS, Discovering Mathematics, Singapore.
Other Research Outputs/Projects (Central)