Intellectual risk-taking, the act of engaging in learning by contributing an idea, question, or creative thought regardless of potential errors or judgments, is associated with many positive student outcomes; however, there is limited guidance on how to create an environment in which students feel empowered to be courageous in this way. In the…

In recent decades, research has stressed the prominence of mathematics classroom discussions in productive instructional practices in mathematics instruction. In this context, problem-solving activities have been a common focus of research. Research shows that teachers need to deal with prerequisites and challenges such as norms, design of tasks,…

The COVID-19 pandemic has affected student learning; according to the National Assessment of Educational Progress (2022), scores for students in the United States have shown a decline in mathematics. . One way educators can strengthen students' current mathematical knowledge and bridge to new content is through Number Talks. Number Talks are brief…

Whole-class mathematical discussion in a problem-solving activity is recognized as a powerful pedagogical activity but also a challenge for teachers who must consider several difficulties that learners might face, particularly in terms of an overload of Working Memory and Executive Functions. This study investigates how the use of a digital…

Discursive formative assessment (FA) practices during instruction have grown in importance in the education literature as a way of improving teaching and learning. This study involves three years of design-based research as part of an educational project. We examine lower secondary school teachers' qualitative Informal Formative assessment (IFA)…

This article focuses on one common type of many different classroom discussions, open-strategy sharing (OSS), because it offers a starting point for teachers new to mathematical discussions. The goal of an OSS discussion is to explore multiple possible ways to solve a single mathematical task. Students share strategies, listen to others'…

Many teachers labor to distinguish between productive and unproductive struggle; they believe that struggle is productive when it engages students in thinking and communicating metacognitively, which is when students think and communicate about their problem-solving processes, strategies, challenges, and successes. One method that helps ensure…

There is a global demand for mathematics teachers to learn how to facilitate discussions where students make sense of mathematics via problem-solving and reasoning activities. Despite this call for meaningful discussions, they are rarely found in secondary instruction, especially in low-socioeconomic communities. A practitioner research approach…

Capturing progression in students' formal knowledge and employability skills is essential in higher education but evokes questions concerning how to assess and monitor progression. While methods for capturing students' formal knowledge progression have traditionally been at the forefront, methods for capturing employability skills have been less…

Background: Physics is often seen as a discipline with difficult content, and one that is difficult to identify with. Socialisation processes at the upper secondary school level are of particular interest as these may be linked to the subsequent low and uneven participation in university physics. Focusing on how norms are construed in physics…

The present study investigates the features of teacher-children interaction during whole-class activities within an early childhood community, in which children's active participation is supported. The theoretical basis of the study is shaped by sociocultural approaches, which consider learning as a process of social co-construction of meanings,…

This article focuses on students' perceptions of small-group activities, discussion, and technology-based interactivity implemented in two different learning environments, namely, in a large, traditional lecture hall and in a smaller classroom. The Engaged Learning Index, developed by Schreiner and Louis, was used along with several items to…

There has been much attention given to the use of technology in education; mostly concentrating on physical artifacts of technology to facilitate teaching delivery but little mentioning technology as a cultural resource to organize the learning environment promoting social interaction among students and between teacher and students. This paper…

The research findings describe a model of experiential learning that promotes the development of foundation phase student teachers' metacognitive abilities for mathematics through classroom reflective discourse using an open approach. A case study was carried out on two foundation phase mathematics classes in South Africa's universities; data were…

Structured problem-solving lessons are used to explore mathematical concepts such as pattern and relationships in early algebra, and regularly used in Japanese Lesson Study research lessons. However, enactment of structured problem-solving lessons which involves detailed planning, anticipation of student solutions and orchestration of whole-class…