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Tay, Eng Guan
- PublicationOpen AccessLearning from the implementers in a design experiment(2013)
; 137 260 - PublicationMetadata onlyMovie clips in the enactment of problem solving in the mathematics classroom within the framework of communication model
In this chapter, we propose that the teaching of mathematical problem solving can be understood through a classical model of communication. The use of movie clips for the teaching of mathematical problem solving can be seen as a communication process. The role of the movie clips, serving in addition to being a narrative hook, presents the mathematical problem in a way understandable and relatable to students through its appropriate contextualization of the mathematical problem. The chapter further discusses the characteristics of two movie clips that can be used for teaching mathematical problem solving.
19 - PublicationMetadata onlyThe instructional core that drives the enactment of the school mathematics curriculum in Singapore secondary schools(Springer, 2021)
; ; ; Quek, Khiok Seng14 - PublicationOpen AccessOptimal orientations of vertex-multiplications of Cartesian products of graphsKoh and Tay proved a fundamental classification of G vertex-multiplications into three classes C0, C1 and C2. In this paper, we prove that vertex-multiplications of Cartesian products of graphs G × H lie in C0 (respectively, C0∪C1) if G(2) ∈ C0 (respectively, C1), d(G) ≥ 2 and d(G×H) ≥ 4, providing further support for a conjecture by Koh and Tay. We also focus on Cartesian products involving trees, paths and cycles and show that most of them lie in C0.
67 119 - PublicationMetadata onlyResearch on mathematical thinkingThis is the first time a chapter with an explicit focus on mathematical thinking has been included in the MERGA Research Review. Reviewed in this chapter is an impressive body of deep, multifaceted, and diverse research in mathematics education published by Australasian scholars between 2020 and 2023. In the first part of the review, we elaborate on the complexity of this review and the decisions we made to execute it. The review itself attends to the prominent kinds of mathematical thinking; the role of the Australasian context; conceptual, methodological, and theoretical approaches employed by researchers; and the scholars’ ways of navigating the elusive nature of mathematical thinking in their research. We conclude with some insights into evident strengths and areas for potential growth.
4 - PublicationOpen AccessDiffusion of the mathematics practical paradigm in the teaching of problem solving: Theory and praxis(2012)
; ; ; Dindyal, JaguthsingIn this paper, we discuss the diffusion (of an innovation) and relate it to our attempt to spread our initial design of a mathematics practical paradigm in the teaching of problem solving.290 291 - PublicationMetadata onlyThe evolution of mathematics education research in Singapore
Up until 1990, the Institute of Education in Singapore was primarily a teaching institute involved in training teachers for Singapore schools. Since the inception of the National Institute of Education (NIE) in 1990, as an institute of the Nanyang Technological University, the focus of the institute has been enlarged to include research in education. This chapter examines, through a documentary analysis, how a research culture specifically in mathematics education at the National Institute of Education was nurtured, developed and supported from 1990 onwards. Development of the culture for Mathematics Education Research (MER) has been in tandem with all other areas of research at the NIE. Both top-down and bottom-up approaches have been adopted to support research as part of an academic’s work at the institute. Policies related to recruitment and promotion of academics were developed to ensure that emphasis was on both teaching and research. Development of research, from individually led bite-sized grains to team-based project with coherent themes, was supported. The setting up of the Centre for Research in Pedagogy and Practice in 2004 and dedicated funding from the Ministry of Education Singapore for research of the Singapore education system heralded an era of MER that has made significant contributions both nationally and internationally. This chapter will also illuminate the four main areas of focus and sources on MER through examples of studies carried out in Singapore since 2000. In addition, it briefly outlines the contribution of MER in ASEAN countries.
47 - PublicationOpen AccessReconceptualising problem solving in the school curriculum(2009)
; ; In this paper, we discuss the development of a very specific problem solving curriculum in an independent school in Singapore as part of the first phase of our research project. We are using a design research methodology to fine-tune the problem solving curriculum in which we are introducing the mathematics practical, an idea borrowed from science education.106 211 - PublicationOpen AccessHow formal should calculus in the school mathematics curriculum be: Reflections arising from an error in a calculus examination question(Association of Mathematics Educators, 2023)
; ; ; ; Lee, HenryThis paper examines the calculus curriculum in the current Singapore secondary and pre-university levels. Two concepts, (1) increasing and decreasing functions and their derivatives, and (2) the second derivative test for the nature of stationary points, are elaborated. An example of an incorrect calculus item in a national examination is brought up in relation to conditional reasoning involving calculus concepts. We reckon that the current emphasis on procedural knowledge in calculus is useful. However, we argue that formal conditional reasoning should not be introduced prematurely for school students.306 287