Making connections within and between different aspects of mathematics is recognised as fundamental to learning mathematics with understanding. However, exactly what these connections are and how they serve the goal of learning mathematics is rarely made explicit in curriculum documents with the result that mathematics tends to be presented as a…

The increasing influx into Australia of (im)migrants whose first language is not English has made Australia linguistically more diverse than ever. Despite this, Australia remains a strongly Anglocentric nation, and migrants, in response, tend to abandon their heritage languages (HL) and shift to English relatively quickly. Korean migrants in…

As a multifaceted concept, the learning of angle concepts takes years to achieve and is beset with challenges. This paper explores how the processes of constructing and validating a learning progression in geometric reasoning can be used to generate targeted teaching advice to support the learning of angle concept. Data from 1090 Year 4 to Year 10…

This study investigates consistent and inconsistent respondents to mixed-worded questionnaire scales in large-scale assessments. Mixed-worded scales contain both positively and negatively worded items and are universally applied in different survey and content areas. Due to the changing wording, these scales require a more careful reading and…

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 paper examines reading achievement when the maternal/paternal language has become a de facto second language. The performance of a cohort of Greek-Australian high school students (N = 270) on a diagnostic Greek reading test was significantly below that of pupils in second to fourth grades in Greece. The mean item difficulty for…