Current global crises (e.g. COVID-19 pandemic and climate change) necessitate changes to mathematics curricula, especially related to using mathematics to solve real-world problems. We begin with the Programme for International Student Assessment's (PISA) framework for mathematical literacy (FML), since it functions as a global guide for…

Research in cognitive development has highlighted that early numeracy skills are associated with later math achievement, suggesting that these skills should be targeted in early math education. Here we tested whether tools used by researchers to assess mathematical thinking could be useful in the classroom. This paper describes a collaborative…

Research into the effectiveness of SPRING into Maths as a Tier 2 intervention is limited. This article aims to extend the evidence base for SPRING into Maths through reflective practice that links practitioner voice with theory. The article applies a theoretical lens to SPRING into Maths and provides insights into the journey of a group of…

While measures of research quality are widely accepted in the education research community, there may be less agreement on what constitutes evidence of impact and on where to look for it. The aims of this symposium are to consider some key issues in undertaking the Australian government's national assessment of research engagement and impact, and…

This article demonstrates that the presence of radical discourse in an educational field is not necessarily evidence of criticality in practice. Appropriated by policy and practitioners within a web of power relations, radical discourse may come to act on practice in ways which are antithetical to its theoretical origins. To illustrate this…

How do our mental representations of number change over development? The dominant view holds that children (and adults) possess multiple representations of number, and that age and experience lead to a shift from greater reliance upon logarithmically organized number representations to greater reliance upon more accurate, linear representations.…

In this article we describe the design process for an after-school Grade 3 mathematics club, based on our experiences running a pilot club in a 2011 research and development project. Working from a sociocultural perspective, we show the progression from an initial multifaceted design to a much simpler, more learner-centred design that speaks…

The field of adult language, literacy and numeracy in Australia is a site of struggle as policy changes, new learner groups and new economic imperatives challenge teachers' expertise and beliefs about good teaching practice. This article examines the ways in which experienced adult language, literacy and numeracy teachers shape and reshape their…

One of the greatest challenges in education today is to adapt and respond to a linguistically and culturally diverse world, and to combat social disintegration and discrimination. Participatory and collaborative action research represents an empowering and emancipatory approach to this challenge because the "target groups" become…

The residue number system (RNS) has been an important research field in computer arithmetic for many decades, mainly because of its carry-free nature, which can provide high-performance computing architectures with superior delay specifications. Recently, research on RNS has found new directions that have resulted in the introduction of efficient…

Numeracy is as essential to becoming an active and thoughtful citizen as literacy. Although the concept of numeracy is complex and robust, there are four areas in which teachers can fairly easily begin to incorporate it into social studies curriculum and instruction. The areas include the students' ability to understand raw numeric data in…

A case study approach was adopted to investigate two thinking skills programmes for a maximum variation sample of five- to six-year-olds in four schools, in two local authorities (LAs), in England and Wales, using multiple methods. School staff interviewed felt that thinking skills programmes enhanced critical thinking skills and improved use of…

"Focus on Basics" is a publication of the US Division of World Education, Inc. It presents best practices, current research on adult learning and literacy, and how research is used by adult basic education teachers, counselors, program administrators, and policymakers. "Focus on Basics" is dedicated to connecting research with…

This paper describes some outcomes of a nine-month design-based research study into the professional development of 24 numeracy teachers with post-16 learners. The teachers were encouraged to integrate eight research-based teaching principles into their classroom practices as they implemented a set of discussion-based mathematics learning…

The No Child Left Behind Act has brought great attention to the effectiveness of math and literacy program in U.S. Schools. Literacy instruction was the hot topic of the 1990s, but numeracy has taken center stage in current education debates. Although the importance of literacy skills in other subject areas is quite obvious, the connection between…