Improving numeracy learning outcomes for students is a goal of the European Commission. While many European countries have placed increased emphasis on links between mathematics and other subjects, in some countries numeracy is seen as an integral part of subjects across the curriculum. However, for this latter approach to be successful teachers…

Early numeracy skills are highly relevant for children's mathematics learning at school, especially in the initial years when much mathematics learning relies on early numeracy competence. The aim of this study was to investigate the level of early numeracy skills in a sample of South African children in the first months of formal schooling. In…

This chapter situates fraction learning within the integrated theory of numerical development. We argue that the understanding of numerical magnitudes for whole numbers as well as for fractions is critical to fraction learning in particular and mathematics achievement more generally. Results from the Delaware Longitudinal Study, which examined…

Play is traditionally considered the foundation of learning in the early years. Because play is characterized by free choice, it can be difficult for adults to ensure all learning is useful for children. The intervention described here took a novel approach to this problematic. It exposed 17 four-year-olds to different adult demonstrations to see…

The Whole of Community Engagement (WCE) initiative commenced in July 2014, led by the Office of Pro Vice Chancellor of Indigenous Leadership at Charles Darwin University (CDU). WCE aimed to build the aspiration, expectation and capacity of six remote and very remote Indigenous communities in the Northern Territory to participate and achieve in…

This is the thirty-first edition of the Articulation Handbook for British Columbia's public post-secondary institutions. It has been updated for 2018-2019 through the dedicated efforts of the educators who participate in the working and steering committees. Articulation is a dynamic process that will never be completed. It brings order to the…

Scotland's Curriculum for Excellence (CfE), constitutes the demands that teachers are supposed to meet. Its intentions for the mathematics curriculum are similar to those in many countries: that learners be sufficiently mathematically literate to use mathematics in the personal, professional and societal dimensions of their lives. But like many…

The ability of middle and high school students to reason quantitatively within the context of environmental science was investigated. A quantitative reasoning (QR) learning progression was created with three progress variables: quantification act, quantitative interpretation, and quantitative modeling. An iterative research design was used as it…

At the start of the Kindergarten year in New South Wales (NSW) government schools, teachers gather information on several aspects of children's number knowledge to guide their teaching programs. This includes knowledge of the sequence of words used for counting, numeral identification, and using counting to solve problems. This study investigated…

Background: A potential problem of low-stakes large-scale assessments such as the Programme for the International Assessment of Adult Competencies (PIAAC) is low test-taking engagement. The present study pursued two goals in order to better understand conditioning factors of test-taking disengagement: First, a model-based approach was used to…

This longitudinal study examines the relative importance of counting ability, additive reasoning, and working memory in children's mathematical achievement (calculation and story problem solving). In Hong Kong, 115 Chinese children aged 6 years old participated in 2 waves of assessments (T1 = first grade and T2 = second grade). Multiple regression…

This report provides information about the performance of Aboriginal students (including adults) in British Columbia's public schools. Ten sections include: (1) Introduction; (2) Student and District Context (Kindergarten-Grade 12), 2016/17-2020/21; (3) Foundation Skills Assessment (FSA) Grades 4 and 7, 2016/17-2020/21; (4) Graduation Assessments…

A critical numeracy examination of Benford's Law suggests that our understanding of the integers is faulty. We think of them as equally likely to turn up as the first digit of a random real world number. For many real world data sets this is not true. In many cases, ranging from eBay auction prices to six digit numbers in Google to the…

The purpose of this research is to examine the number sense performance of the classroom teacher candidates taking the Mathematics Education I and II courses. Moreover, it investigates whether there is a change in the number sense performance of the teacher candidates following the Mathematics Education I and II courses. Embedded experimental…

Over a two-year period, approximately 70 teachers from 18 schools participated in an on-going professional development program as part of a study to promote the teaching and learning of numeracy. Principals and other school leaders were invited to participate in the professional development program alongside their teachers, which 20 leaders from…