When analyzing instructional quality in mathematics, observational measures can consider domain-specific instructional approaches (e.g., effective teaching of mathematics) and content-focused practices (e.g., effective teaching of a specific mathematical topic). In this study, we analyze lesson videos from secondary algebra classrooms using two…

Two aspects of formative assessment practices in the Dutch and Flemish educational context were explored: the degree to which secondary mathematics teachers implement a variety of assessment techniques in their classrooms, and the extent to which their students are involved in assessment practices. By developing profiles based on the combination…

This research paper examines the application and performance of gamification through the use of Kahoot in elementary Mathematics classrooms. The participants were 10 elementary school Mathematics teachers from across the United States. All data were collected over one semester through interviews questions and, subsequently, findings presented a…

Secondary mathematics teachers' use of formative assessments have shown promise for developing models of their students' mathematical thinking and informing their instruction. While the complexities of secondary mathematics teachers' formative assessment practices are often captured in qualitative research, there is a critical need for synthesized…

The authors developed an instructional nudges as part of a larger research project. These instructional nudges are designed to be small but powerful changes to teachers' existing practices. Some instructional nudges focus on modifying tasks used in classrooms. In this article, the authors share Rate and Review. The goal of Rate and Review is to…

A large body of research has shown the effectiveness of formative assessment on student learning. Yet research on teachers' implementation of formative assessment is relatively underdeveloped. In addition, there has been a lack of effective instruments for observing teachers' formative assessment practices. This study focuses on the ongoing…

Teaching observation protocols serve purposes beyond research, such as providing formative feedback for teachers' growth in their practice. Such observation tool usage requires different approaches for validation. For this reason, we developed the formative teaching evaluation framework adapted from the student-assessment literature. We used this…

Empirical studies on effects of formative assessment (FA) on motivational outcomes and underlying mechanisms are scarce. The core elements of FA, feedback and adaptive teaching behavior, might be helpful in promoting the experience of competence, which in turn is a prerequisite for promoting intrinsic motivation. However, instructional impact also…

Mathematical achievement and the factors that influence students' skills to apply their knowledge and reasoning to solving real-world problems are considered a critical area of study within the PISA framework. This study presents a systematic review of the impact of teaching strategies and practices on students' mathematical achievements in PISA.…

Equitable and accessible classrooms should engage all learners with mathematics content in meaningful ways. However, practicing teachers need support from professional development (PD) to learn to teach with this ambitious vision. Informed by sociocultural theory, we employed an evaluative case study methodology to describe, explain, and assess…

For fans of the bestselling book "The Formative 5: Everyday Assessment Techniques for Every Math Classroom" comes this updated and expanded edition for understanding and implementing highly effective, research-backed formative assessment techniques into seamless, daily practice with students in grades K-12. "The Formative 5 in…

This paper focuses on the importance of identifying students' Prior Knowledge (PK) for the teaching and learning of mathematics. Specifically, we present a framework that exemplifies the core elements teachers need to consider in relation to the purpose, design and implementation of learning experiences that enable PK to be activated and assessed.…

In this "Perspective on Practice," we describe an application of recommendations made in "Formative Assessment in Secondary ­Mathematics: Moving Theory to Recommendations for Evidence-Based Practice" (Kenney et al., 2022), which was recently published in this journal. The authors made recommendations for mathematics teacher…

Developing expertise in professional noticing of students' mathematical thinking takes time and meaningful learning experiences. We used the Lesson"Sketch" platform to create a learning experience for secondary preservice teachers (PSTs) involving an approximation of teaching practice to formatively assess PSTs' noticing skills of…

The purpose of this intervention study was to develop and evaluate a support model for teachers, designed to assist them in diagnosing students' (age 16-19 years) difficulties and providing feedback to support students' mathematical problem solving. Reporting on an iteration in a design research project, the results showed that the support helped…