Presenting novices with examples and problems is an effective and efficient way to acquire new problem-solving skills. Nowadays, examples and problems are increasingly presented in computer-based learning environments, in which learners often have to self-regulate their learning (i.e., choose what type of task to work on and when). Yet, it is…

One of the challenges of understanding the complexity of so-called reform mathematics instruction lies in the observational tools used to capture it. This article introduces a unique tool, drawing from commognitive theory, for describing classroom discussions. The Realization Tree Assessment tool provides an image of a classroom discussion,…

Purpose: This commentary aims to echo Wilkinson, Bailey, and Maher's (this volume) arguments about the affordances of videos and video databases in studying learning and teaching. Design/Approach/Methods: This article illustrates a multivocal approach to the videos from the "Video Mosaic Collaborative" (VMC). In particular, three…

Research into classroom dialogue suggests that certain forms are especially productive for students' learning. Despite the large number of studies in this area, there is inadequate evidence about the prevalence of the identified forms, let alone their productivity. However, scarcity is widely presumed. The overall aim of the study reported in this…

Context: Improving teacher quality and granting every student equal access to high-quality instruction have been a shared goal of many parents, educators, and policy makers for decades. In practice, teacher qualification measures (e.g. teacher degree, years of experience etc.) are often used as proxies of teacher quality. However, Shulman (1986)…

The present study reviewed the papers in the Scopus database relevant to flipped classrooms in all mathematics subject areas published up until 2018 from various dimensions. It was found that there has been a considerable number of studies on flipped classrooms in mathematics education in these years. The majority were conducted in university…

The concept of formative assessment is considered by many to play an important role in enhancing teaching in higher engineering education. In this paper, the concept of the flipped classroom as part of a blended learning curriculum is highlighted as an ideal medium through which formative assessment practices arise. Whilst the advantages of…

The collision between a growing, inexperienced teaching force and students' algebra struggles should be one of great concern. A collaboration of four public and private universities in Oregon restructured mathematics methods courses for preservice teacher candidates by using the affordances of technology to counteract this loss of experience. Over…