The shift from additive to multiplicative thinking is challenging for students. A professional learning program was developed that focused on an identified area of need by teachers, namely multiplicative thinking. Program content focused on concepts underpinning multiplicative thinking, pedagogical approaches, challenging tasks, and application to…

National Assessment Program for Numeracy and Literacy (NAPLAN) is the national assessment programme for literacy and numeracy in Australia administered to children in Years 3, 5, 7 and 9 each year. The testing process was introduced in 2008 and is described by the developers as low stakes, however, research has highlighted that this is not the…

International research suggests that early mathematical competence predicts later mathematical achievement. In this article, we explore the relationship between mathematical competencies at 4-5 years, as measured by teacher ratings, and later results on Years 3, 5, 7 and 9 "National Assessment Program -- Literacy and Numeracy" (NAPLAN)…

Principals (policy makers) have debated the progress in U.S. student performance for a half century or more. Informing these conversations, survey agents have administered seven million psychometrically linked tests in math and reading in 160 waves to national probability samples of selected cohorts born between 1954 and 2007. This study is the…

This article reports on the effectiveness of an intervention using conceptual change approaches within challenging tasks, on the mathematics gains for low-performing year 3-6 students in in six primary schools. Quantitative data from PAT-Maths testing for each year showed a consistently large effect size of 0.7 compared to expected gain data from…

As the 21st century unfolds, the United States faces historic challenges, including a struggling economy, an aging infrastructure and global terrorism. Solutions will have to come from educated, skilled citizens who understand and believe in our democratic system and are civically engaged. This incisive new report examines these fault lines and…

This paper examines changes in demographic and socioeconomic inequalities in student achievement over the school career, and the extent that these inequalities are accounted for by other influences such as, region and socioeconomic background (where appropriate), school differences and prior achievement. The data analysed are from a longitudinal…