Singapore's Education System has evolved over time and so has Mathematics Education in Singapore. The present day School Mathematics Curricula can best be described as one that caters for the needs of every child in school. It is based on a framework that has mathematical problem solving as its primary focus. The developments from 1946 to 2012…

The purpose of this quantitative research study was to evaluate to what degree Science, Technology, Engineering and Mathematics (STEM) education influenced mathematics and science achievement of seventh grade students in one Middle Tennessee school district. This research used an independent samples t test at the a = 0.05 level to evaluate…

The purpose of this study was to examine the differences in the achievement rates of developmental mathematics students when a student success course was taken in combination with mathematics. The study investigated changes that occurred in the developmental mathematics completion rates of the learners by examining age and the course sequence of…

Of the "big four", division is likely to regarded by many learners as "the odd one out", "the difficult one", "the one that is complicated", or "the scary one". It seems to have been that way "for ever", in the perception of many who have trodden the learning pathways through the world of…

In recent years, there has been greater attention in research and professional development work to discussion of the kinds of knowledge teachers need to teach effectively in the mathematics classroom. It seems reasonable that in planning at the school level, teaching team level and then specifically for a given lesson, teachers might have a sense…

Mathematics curricula tend to focus either on the development of procedural knowledge or conceptual knowledge yet research support an iterative development of these knowledge types. Research also suggests that teachers should move beyond strictly using curriculum and move toward being the developers of their curricula. Using multiple case study…

In 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.

The notion of periodicity stands for regular recurrence of phenomena in a particular order in nature or in the actions of man, machine, etc. Many examples can be given from daily life featuring periodicity. Mathematically the meaning of periodicity is that some value recurs with a constant frequency. Students learn about the periodicity of the…

A report entitled "What we can learn from the English, mathematics and science curricula of high-performing jurisdictions" seems taken to suggest... "that imitating the content, pace and pedagogy of Singapore and Hong Kong in particular, would enable us to improve the mathematical performance of English children". This is…

In the National Council on Education and the Disciplines' (NCED) 2001 Mathematics and Democracy, Lynn Steen vividly declares, "The world of the twenty-first century is a world awash in numbers". In that volume, Steen and his collaborators articulate a clear call for broad reforms to prepare students for the ubiquitous need for quantitative…

Infinite series is a challenging topic in the undergraduate mathematics curriculum for many students. In fact, there is a vast literature in mathematics education research on convergence issues. One of the most important types of infinite series is the geometric series. Their beauty lies in the fact that they can be evaluated explicitly and that…

Saint Joseph's University, a small comprehensive university, implemented a one-credit capstone project for the mathematics major beginning in 2002. After expansion to three credits in 2007, the capstone, although successful, had unintended consequences. In 2010, for both programmatic and practical reasons, the department decided to remove the…

In this paper we examine the extent of the focus on number sense, enabled and accompanied by the development of efficient strategies for mental maths, in the foundation and intermediate phase. We do this through documentary analysis of the Curriculum and Assessment Policy Statements (CAPS) for these phases and the Annual National Assessments…

This paper describes Singapore and Australian Grade 6 students' (n=1,187) performance on a symmetry task in a recently developed Mathematics Processing Instrument (MPI). The MPI comprised tasks sourced from Australia and Singapore's national assessments, NAPLAN and PSLE. Only half of the cohort solved the item successfully. It is possible that…

Partnerships between state stakeholders, researchers, and schools are often idealised as a way to create innovative solutions to persistent problems in education, and portrayed with deterministic histories. This paper argues that these relationships often begin long before they are formalised and are at times dictated by circumstantial timing. A…