Factors and multiples are important aspects of mathematical structure that support the understanding of a range of other ideas including multiplication and division, and later on, factorization. At primary school level, it is important that factors and multiples are taught as a connected enterprise and as vital parts of the multiplicative…

In this paper we investigate the translation of research into professional development (PD) materials for teachers of primary mathematics, by England's National Centre for Excellence in the Teaching of Mathematics, and related changes in teacher practices of teachers using the materials. We use interview data gathered from three teachers, via six…

Recently, teacher recruitment and retention has been the focus of the government and a step taken to support recruitment was the abolishing of the skills tests. Initial teacher training providers became responsible for assessing trainees' mathematicsrather than having it externally assessed. The purpose of this literature review is to synthesise…

In this article, the author describes how nature can link maths and science to develop skills in both subjects. Experiencing maths, seeing maths, touching maths, playing with maths is a great start, giving children the opportunity to learn maths in the way that science is often experienced. This article does not aim to provide an answer for fully…

Multimedia programs having a number of elements like Texts, spoken words, sound & music, graphics, animations and still pictures provide different stimuli in their presentations. Art is the field of education that provides a platform for rigorous investigation, representation, expression, and reflection of both scholastic content and the art…

Multiplicative thinking is a critical component of mathematics which largely determines the extent to which people develop mathematical understanding beyond middle primary years. We contend that there are several major issues, one being that much teaching about multiplicative ideas is focussed on algorithms and procedures. An associated issue is…

Throughout the twentieth century there was debate as to the primacy of ordinality or cardinality in the development of the concept of number. Psychological experiments have largely given way to neuro-science in deciding this issue. There are results suggesting students' awareness of symbol-symbol relations is the best predictor of future…

In South Africa teachers are faced with the introduction of yet another revised curriculum. Higher education institutes are developing programmes to help teachers through the transition. This article describes such an intervention. The research addresses the question: how could mathematical reasoning cartoons be used as a tool to support teacher…

This article is the text from a talk given to the conference The Primary Curriculum: English, mathematics and science in 2014 on 27 February 2013 at Canterbury Hall, London, organised by the National Association for Primary Education (NAPE). In it the author argues that the current consultation process is flawed as there is an ideological divide…

Randomised controlled trials (RCTs) can be at risk of bias. Using data from a RCT, we considered the impact of post-randomisation bias. We compared the trial primary outcome, which was administered blindly, with the secondary outcome, which was not administered blindly. From 44 schools, 522 children were randomised to receive a one-to-one maths…

Randomised controlled trials (RCTs) are increasingly used to evaluate educational interventions in the UK. However, RCTs remain controversial for some elements of the research community. This paper argues that the widespread use of the term "gold standard" to describe RCTs is problematic, as it implies that other research methods are…

This article explores one thread from a larger, longitudinal research project that investigated the views and experiences of teacher educators in Malaysia and from the United Kingdom who were involved in collaboration for the co-construction of a Bachelor of Education (Honours) in Primary Mathematics, with English and health and physical education…

Draft curriculum documents offer a glimpse of the future. They demand a response as all too often the devil is in the detail. What are the devils and maybe demons that await primary mathematics? This forensic consideration of the content of the draft curriculum for primary mathematics catalogues a lack of evidence to underpin proposals. Is the…

The term "numeracy" seems to be commonly used in discussions about school mathematics education these days. It is not altogether clear what various school systems intend "numeracy" to mean and whether or not it is meant to replace the term "mathematics", whether it is just one part of mathematics or whether it is…

This article analyzes the use of the software Grid Algebra with a mixed ability class of 21 nine-to-ten-year-old students who worked with complex formal notation involving all four arithmetic operations. Unlike many other models to support learning, Grid Algebra has formal notation ever present and allows students to "look through" that…