This article describes the practices the authors use to promote learning mathematics through social interactions that they cultivate in their classrooms throughout the year. The design of their instruction is guided by two productive discourse practices that they have found to be the most powerful. The first practice involved posing open…

The research described in this paper focused on the issue of describing and understanding how mathematical discussion develops in a hybrid learning environment, and how students participate in it. The experimental plan involved several classes working in parallel, with pupils and teachers interacting both in their real classrooms and in a digital…

This study compares the effects of student-centred teaching methods, teacher-centred methods, and teacher-student interactive methods on students' mathematics academic achievement. For this purpose, calculus, compound interest, annuities, and depreciation topics were taught to first-year college students in three different groups: traditional…

Using a convergent parallel mixed methods design, this exploratory study examined mathematics lessons in two third-grade classrooms to analyze the mathematical classroom discourse when using tutorial instructional software. A chi-square test for independence revealed statistically significant correlations between teachers use of the focusing and…

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…

In the paper we deploy two related theoretical and methodological approaches to see how they complement each other in the analysis of oral communication in mathematics group work. The first approach is an authority framework that builds on positioning theory and the second is politeness theory, with a focus on the sociological notion of face.…

In 2009, Al Akhawayn University, a liberal arts college in Morocco, started a Writing Across the Curriculum (WAC) program. The question that drove my action research project was how to make writing more continuous in a WAC class. In addition to the writing assignments, weekly prompts on the discussion forum of the Learning Management System were…

Responsiveness to students' mathematical thinking is a characteristic of classroom discourse that reflects the extent to which students' mathematical ideas are present, attended to, and taken up as the basis for instruction. Using the Mathematically Responsive Interaction (MRI) Framework and data from 11 middle-grades classrooms, we illustrate…

Recreating the social aspects of face-to-face teaching in an online environment became more challenging in the midst of the COVID-19 pandemic. With limited or no face-to-face interaction with students, lecturers had to explore alternative ways to recreate aspects of an engaging and supportive face-to-face learning environment. This article focuses…

Mathematics classroom interaction has often been described as an important context for involving all students. However, this article shows that teacher-student-interaction is still not really in the focus of teachers' attention. Based on classroom video studies, some authors hypothesize that the implicitness of establishing norms and practices is,…

Scholars use "position" to refer to the social expectations and range of available things a person can say and do in any given interaction (Harré and van Langenhove 1999; van Langenhove 2011). In the classroom, there are different social expectations for teachers and students. Teachers are often expected to give directions, present…

The COVID-19 pandemic shifted higher education online, drawing attention to synchronous learning and instruction on digital communication platforms. Learner-centered teaching practices in the tertiary level, such as mathematical discussions, have been shown to benefit student learning. The interactions involved in online synchronous mathematical…

Mathematics anxiety is common among pre-service primary teachers and many experience higher levels of maths anxiety than other university students. This study asks: What are maths anxious preservice teachers' perspectives of "doing" mathematics in a whiteboard room? The Abbreviated Mathematics Anxiety Rating Scale (A-MARS) was used to…

There is an ongoing need to support students' learning of linear functions, and the study of slope makes up a foundational component of this learning. We applied techniques from systemic functional linguistics to document the meanings that were established through spoken interaction between a student and her tutors during discussions of slope. We…

The premise on which our synthesis is based is the fragmentation of research focused on teaching and learning in mathematics. Our intention is to build an aggregate synthesis from these sources in the context of school education and meaningful learning. Our research targets the links between the different approaches used in teaching, interaction…