The effects of prior encodings of manipulatives (red and blue plastic chips) on children's ability to use them as representations of quantity were tested. First graders (N = 73) were assigned to four conditions in which the encoding of plastic chips was experimentally manipulated. All children then participated in an addition activity that relied…

This study investigates teacher responses to a common set of high potential instances of student mathematical thinking to better understand the role of the teacher in shaping meaningful mathematical discourse in their classrooms. Teacher responses were coded using a scheme that disentangles the teacher move from other aspects of the teacher…

In this research, I set out to elucidate the relationships that might exist between students' conceptual understanding upon which they draw in their proof activity. I explore these relationships using data from individual interviews with three students from a junior-level Modern Algebra course. Each phase of analysis was iterative, consisting of…

This study examines the classroom practice and craft knowledge underpinning one teacher's integration of the use of GeoGebra software into mathematics teaching. The chosen teacher worked in an English secondary school and was professionally well regarded as an accomplished user of digital technology in mathematics teaching. Designed in accordance…

This exploratory case study delves into the instructional design of a gamified online course. The study focuses on how the professor incorporated game elements into a graduate-level online course. Participants in the gamified course were pre- and in-service mathematics teachers. The qualitative case study used two sources of data, an interview…

Our investigation is concerned with new teachers developing their ability to understand student thinking. We conducted individual interviews with graduate students teaching calculus for the first time, interviewing a representative sample of graduate students before and after their first teaching assignment. The interviews were transcribed and…

Through a qualitative analysis of data collected over four years of design-based research on the implementation of a reform-oriented mathematics curriculum, this study describes two sixth-grade teachers' changing views of the role and place of reading in mathematics instruction. The findings reveal the evolution of the teachers' perspective on…

This study investigated different math-talk facilitations, and conceptualized the teachers' talk moves for productive student mathematics discussions. Our findings suggest that students' strategy development is supported by talk moves coordinating a wide range of student strategies, representations and discussions that are at a process-level and…

The beliefs of teacher regarding their students' learning in mathematics are an essential factor due to their importance in developing a desirable mathematics classroom culture. The purpose of this study is to investigate the mutual relationship between the construction of sociomathematical norms in classroom mathematical culture and teachers'…

Research indicates that many English learners (ELs) have not been effectively supported in meeting their academic learning goals. This explains, in part, the growing interest and corresponding research on the essential teacher knowledge-base for teaching ELs. Despite the attention paid to this issue, research on preservice teachers' reasoning and…

Technology is now being utilized in schools in an effort to address the lack of engagement most students have experienced in mathematics when learning foundational skills at the elementary school level. While there are a number of studies that have described teacher perceptions of engagement through the use of technology during the school day,…

Flipped instruction is becoming more common in the United States, particularly in mathematics classes. One of the defining characteristics of this increasingly popular instructional format is the homework teachers assign. In contrast to traditional mathematics classes in which homework consists of problem sets, homework in flipped classes often…

The Georgia Department of Education requires students to earn 4 course credits in the area of mathematics in order to graduate from high school. Academic success for mathematics students in a school district in southern Georgia has been encumbered because teachers lack cultural competency in mathematics instruction, which has hindered minority…

Indigenous teacher assistants (ITAs) are often employed in schools to assist in addressing educational issues relating to Indigenous students. While, this practice has occurred for over 40 years in most Australian states, little has been written about their contribution in assisting Indigenous students to learn. This paper explores the influence…

The study presented in this paper sought to offer a group of 21 preservice teachers with opportunities to learn about interdisciplinary mathematics pedagogy, plus the experience of implementing it with elementary students. It provided the participating preservice teachers' with an opportunity to reflect upon the potential advantages, as well as…