U. S. educational policies focused on the use of high-stakes standardized achievement tests and top-down accountability to improve student achievement have had an insignificant impact. Furthermore, the focus on once-a-year standardized tests to measure student success negatively impacts daily classroom instruction and assessment practices.…

Determining what students know and understand, as well as what misconceptions they have, is essential to planning and providing targeted intervention and support. In this article, a teacher uses formative assessment interviews to uncover evidence of students' understandings and to plan targeted instruction in a mathematics intervention class. The…

There is a growing consensus in early childhood education and care (ECEC) that intentional teaching is pivotal for deep level learning, especially when teaching scientific concepts. However, intentional teaching alone does not always account for how educators communicate their intentions with children. To bridge this gap, we explore the…

Mathematics, by nature, has a spiral structure. The fact that the students fail to acquire an achievement in the mathematics course negatively affects other achievements. Therefore, students' mathematics failure continues exponentially. In this context, it is important to identify and eliminate students' weaknesses, if any, with the formative…

Supporting students with difficulties in learning mathematics is a challenge for teachers and educational administrators. Formative assessment is considered to play a successful role in supporting at-risk students as well as students without difficulties in mathematics. There is a need for intervention programs, including formative assessment…

The positive effect of peer assessment and self-assessment strategies on learners' performance has been widely confirmed in experimental or quasi-experimental studies. However, whether peer and self-assessment within everyday mathematics teaching affect student learning and achievement, has rarely been studied. This study aimed to determine with…

This paper investigates, using a case study methodology, the impact of formative video feedback on the educational experiences of early childhood and primary pre-service teachers (PST) completing a pedagogically focused mathematics education unit in a fully online mode. Given the trend over the past 10 years towards the delivery of university…

In this paper, we provide a report of preliminary findings of the Morgan State University (MSU) Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) project and its focus on culturally responsive teaching (CRT) as an active learning framework for pre-calculus instruction. The paper concludes with a…

This action research study presents the findings of using a formative assessment strategy in an online mathematic course during the world-wide outbreak of COVID-19 at the University of Passau, Germany. The main goals of this study were: (1) to enhance students' self-regulated learning by shifting the direction of assessment from instructors to the…

In this report, we describe the results of a rigorous two-year study of the impacts of a mathematics initiative called Ongoing Assessment Project (OGAP) on teacher and student learning in grades 3-5 in two Philadelphia area school districts. OGAP is a mathematics program which combines teacher formative assessment practices with knowledge of…

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…

The aim of this study was to contribute to the understanding of the effectiveness of formative assessment interventions by analysing how the "quality of programme delivery" affects students' mathematics achievement and interest. Teachers (n = 17) implemented formative assessment in their ninth-grade mathematics classes and provided their…

Early math has been shown to predict not only longer-term math achievement, but also future reading achievement, high school completion, and college attendance. Yet effects from early math programs often fade out as children move into more varied instructional contexts in elementary school. This fade-out suggests the need for an alignment of math…

Powerful Learning Conversations (PLC) sought to improve the feedback that teachers give to pupils in Year 9, by training them to apply techniques used in sports coaching. It is based on the idea that feedback in sports coaching is often provided immediately after a task is performed, and delivered in a way that children are more likely to respond…

"Odyssey® Math" is a web-based program developed by Compass Learning® for mathematics instruction in grades K-8. The online program includes a mathematics curriculum and formative assessments designed to support differentiated and data-driven instruction. Based on assessment results, the program generates an individualized sequence of…