To expand students' preparation for civic life, many teachers regularly engage students in discussions related to contentious issues. These discussions, however, typically restrict the range of communicative styles allowed and prioritizes disagreements between fixed and competing choices. Keith C. Barton & Li-Ching recommend that educators…

This study aims to investigate the ways in which a particular digital technology, the Interactive Whiteboard (IWB), mediates preschool teachers' teaching. Over five months in 2017 and early spring 2018, five preschool teachers and 22 children aged 4--6 were video observed. By identifying aspects of IWB as a mediational means, the findings of the…

The results of this study revealed students' solution strategies progressed from inefficient strategies e.g., counting on fingers to more efficient strategies with mathematical connections. These findings should enable educators to gain more insight to use Number Talks to help student develop computational fluency with numbers.

John Dewey is well-known for claiming that school education is all about developing the ability to think. There is nothing else for schools to do so far as students' minds are concerned. Thinking is not only the aim of education for Dewey, however, but the means of achieving it. This is not because it is the method to be preferred. Rather, as…

Instructional routines, like "Number Talks" and "Notice and Wonder," engage students in doing and then talking about their mathematical thinking. Number Talk routines are short mathematical discussions where students mentally solve and share the strategies they used to make sense of the problem. In comparison, the Notice and…

There is limited evidence on what drives teachers to change their teaching practices. Using primary qualitative data from 78 Zambian education personnel from the school to the provincial level, we combine qualitative thematic analysis with an unsupervised machine-learning technique (topic modeling) to identify drivers of pedagogical shifts. We…

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,…

Reform documents advocate for innovative pedagogical strategies to enhance student learning. A key innovation is the integration of science and engineering practices through engineering design (ED)-based physics laboratory tasks, where students tackle engineering design problems by applying physics principles. While this approach has its benefits,…

In this paper, we analyse a grade 8 (age 13-14) Japanese problem-solving lesson involving angles associated with parallel lines, taught by a highly regarded, expert Japanese mathematics teacher. The focus of our observation was on how the teacher used carefully planned board work to support a rich and extensive plenary discussion (neriage) in…

Even before the release of the National Council of Teachers of Mathematics (NCTM)'s Principles to Actions (2014), teachers paid significant attention to mathematics tasks based on their positive influence on student learning (Doyle, 1988; Kazemi, 1998; NCTM, 1989, 2000). Over the last almost quarter century, we have learned a lot about high-level…

Comparison is a powerful and important way that we learn. To support teachers in the use of comparison in their instruction, the authors developed an instructional routine called compare and discuss multiple strategies (CDMS). Similar to other instructional routines, CDMS is a structured, specific, repeatable minilesson that teachers can use to…

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…

The aim of this study is to reveal and evaluate the attending and interpreting skills of student thinking of prospective teachers, as well as their instructional suggestions as responding skills. The current study was conducted with 29 prospective mathematics teachers (PMTs) within a qualitative design in the context of probability. First, three…

The purpose of this qualitative study was to investigate the perception of EFL teachers and learners on the fundamental principles and constructs of critical thinking, the main characteristics of a critical thinker, and strategies for reinforcing critical thinking ability. Semi-structured interviews with eight EFL teachers and ten learners, who…

Homework gives students the opportunity to practice new skills in both familiar and unfamiliar situations, and to develop an understanding of related concepts. Although some of these goals can be easily accomplished in online homework, many systems are less useful for handling open-ended questions. Written homework, on the other hand, takes time…