This large-scale study characterizes the algebraic learning of a cohort of nearly 800 French students during the last year of middle school (9th grade, 14-15 years old) and examines their evolution in relation to the composition of the classes to which the students belong. Based on the Anthropological Theory of the Didactic (ATD), the study is…

This paper reports on the longitudinal results over 12 months of 342 Grade 1 children from 57 schools in Sydney, Australia, who participated in the "Extending Mathematical Understanding" (EMU) Intervention Program. Their vulnerability in four whole number domains is described, and the extent to which this changed after 12 months. Overall…

Providing differentiated instruction (DI) is considered an important but complex teaching skill which many teachers have not mastered and feel unprepared for. In order to design professional development activities, a thorough description of DI is required. The international literature on assessing teachers' differentiation qualities describes the…

This article presents the Center for Pedagogical Measurements' experience of assessment procedures transformative challenge when the COVID-19 was unfolding across the world and when there was no ready scenario that could guide online instruction and assessment as well. The authors of the article have provided the cases of adaptive responses and…

Purpose: To advance a framework of indicators that promotes implementation of math standards under the Every Student Succeeds Act (ESSA), we tested a conceptual model of the resources and processes within schools that influence the opportunity to learn mathematics (OTL) in the classroom using a recent administration of the 2011 Trends in…

The phenomenon of the "middle-years dip" in mathematics engagement and achievement has been a cause of concern for over a decade. This paper presents an example of one upper-primary classroom identified as having higher than average levels of student engagement, with the purpose of documenting specific teaching strategies that align with…