The purpose of this theoretical study is to explore the relationships between the concepts of using mathematics in the daily life, mathematical applications, mathematical modelling, and mathematical literacy. As these concepts are generally taken as independent concepts in the related literature, they are confused with each other and it becomes…

The ability to reason about numbers in relative terms is essential for quantitative literacy, which is necessary for studying academic disciplines and for critical citizenship. However, the ability to reason with proportions is known to be difficult to learn and to take a long time to develop. To determine how well higher education applicants can…

Despite the widely-recognized benefits of early childhood experiences in formal settings that enrich the social and cognitive environments of children, many children--particularly infants and toddlers--spend their days in unregulated (or very lightly regulated) "informal" childcare settings. Over half of all one- and two-year-olds are…

This guide is for head teachers and school governors to help them invest their Pupil Premium funding in Family Learning programmes. The Pupil Premium is additional funding for schools in England to raise the attainment of disadvantaged pupils and close the gap between them and their peers. Family Learning is a pedagogical approach that refers to…

International research suggests that early mathematical competences predicts later mathematical outcomes. In this paper, we build on our previous study of young children's mathematical competencies (MacDonald & Carmichael, 2015) to explore the relationship between mathematical competencies at 4-5 years, as measured by teacher ratings, and…

Education of the 20th century was characterized mainly by content and knowledge accumulation. Skills development was dictated largely by the needs of the Industrial Age, which was in turn dominated by rote tasks and manual labor. Literacy and, to a lesser degree, numeracy were perceived as necessary in that they provided increased access to…

A critical component in enhancing academic success is identifying children at risk of later academic difficulties. Although significant efforts have been devoted to design effective assessment processes in elementary school, fewer efforts (particularly for mathematics) have been made for preschool. The focus of this study was to design and…

Using statistical literacy skills to determine appropriate scales to be used on graphs is an essential part of numeracy. Using several meaningful contexts, this article explains very clearly when it is appropriate and inappropriate to begin the scale of a graph at zero.

This paper investigates how an online test ("Self-Test" developed at the University of Southern Queensland) can enrich students' understanding of their academic numeracy, through a purpose-built, self-assessment tool aligned with online modules. Since its creation and evaluation, the tool has been developed and tailored to suit other…

While understanding rational numbers forms an essential part of mathematical literacy, research has repeatedly shown that they form a stumbling block in education. A big source of difficulty is the inappropriate application of natural number knowledge. The research literature points at three main aspects where natural number knowledge is…

The natural number bias is known to explain many difficulties learners have with understanding rational numbers. The research field distinguishes three aspects where natural number properties are sometimes inappropriately applied in rational number tasks: density, size, and operations. The overall goal of this study was to characterize the…

This paper reveals the array of practices arising from strong policy pressure for improved student results in national literacy and numeracy tests in Australia: the National Assessment Programme in Literacy and Numeracy (NAPLAN). The paper provides an account of a policy context characterised by significant pressure upon teachers and principals to…

Following the election of the Conservative--Liberal Democrat UK coalition Government in 2010, there has been an urgent intensification and focus upon early years numeracy and literacy and promoting systematic synthetic phonics. This paper argues that the current narrowing of early years assessment, along with increased inspection and surveillance,…

Parental involvement in their children's schooling is in recognition that establishing the context in which a child attends school is important. Reading to Learn (RtL)was implemented in two districts of Kwale and Kinango in Kenya and of Amolatar and Dokolo in Uganda. This paper looks at parental involvement and their experiences with RtL. Data are…

This experiment tested if a modified version of arithmetic practice facilitates understanding of math equivalence. Children within 2nd-grade classrooms (N = 166) were randomly assigned to practice single-digit addition facts using 1 of 2 workbooks. In the control workbook, problems were presented in the traditional "operations = answer"…