This case study was undertaken to characterise the interventions made by a kindergarten teacher during a multiplicative structure problem-solving lesson. The study findings show that when she realised the children were having difficulty, she provided assistance to enable them to find the right answer. When the children gave an incorrect response,…

The teaching and learning of mathematics in sub-Saharan African countries is dominated by teacher-centred pedagogies rather than student-centred ones. Observations of mathematics teachers at two private schools in South Sudan confirmed such practices. This inspired the researchers to design an intervention to help six primary mathematics teachers…

Often, mathematics teachers do not incorporate whole-class discourse of students' various ideas and solution methods into their teaching practice. Particularly complex is the in-the-moment decision-making that is necessary to build on students' thinking and develop their collective construction of mathematics. This study explores the…

This study explores high school students' and their mathematics teachers' mathematical discourses on the equal sign and variables in the classroom context. The participants in this case study were ninth graders and their mathematics teachers. The data were analyzed in terms of participants' routines, specifically ritual and explorative routines in…

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'…

"Persuasion" has been a key concept for human communication throughout history. Humans constantly try to persuade or are persuaded since they are in a continuous state of communication and interaction. The aim of this study is to determine the persuasion strategies related to understanding and explaining skills used by the teachers of…

Although there have been calls for secondary mathematics education in the U.S. to incorporate problem-solving and creativity, the lion's share of instruction is designed to train students to accurately use procedures or understand concepts made by mathematicians in the past (National Research Council, 1999; Watson, 2008). This disconnect…

This paper describes how fifth-grade English Learner students (ELs) in an urban school district develop the mathematics register during a problem-solving lesson. It provides examples of students' work to illustrate how they use the mathematics register to communicate their mathematical ideas orally and in writing. The teacher implemented teaching…

Communities develop social languages in which utterances take on culturally specific situated meanings. As physics students interact in their classroom, they can learn the broader physics community's social language by co-constructing meanings with their instructors. We provide an exposition of a systematic and productive use of idiosyncratic,…

A historical review of mathematics textbooks suggests a canonical method to solving equations that teachers often see as "the" way to solve equations. In this paper, we examine data from a nationally-distributed sample of 524 secondary mathematics teachers who responded to scenario-based survey items that represent the instructional…

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…

Through two studies, this work examined the applicability, interpretability, and construct validity of the Classroom Assessment Scoring System K-3 (CLASS) to measure quality of classroom interactions. In the first study, the CLASS was used in 332 classrooms to test three alternative models (in time order, the one-, three-factor, and two-factor…

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…

Informed by a constructivist-based, student-adaptive pedagogical approach, this study explores the benefits of teacher-learner discourse moves for the mathematics learning of students with learning disabilities (LD). During a constructivist teaching experiment for nurturing the multiplicative reasoning and problem solving of five third-grade…

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,…