Interest is key to learning. Video is a promising tool for interest development in education, but professionals in education are in need of more theory-grounded guidance for production, selection, and use of videos. In previous studies, we developed and validated a model on film's interest raising mechanisms in educational contexts, called the…

For years, teacher education programs have focused considerable effort on teacher knowledge and how to develop the types of knowledge that matter in teacher education candidates. Meanwhile, candidate dispositions for teaching have received little attention, particularly in mathematics courses for candidates. As developers and practitioners of a…

In undergraduate college courses, assignments designed to showcase preservice teacher learning traditionally include classroom presentations, papers, projects, and tests. Often, these activities do not translate into permanent products that will be utilized outside the course. The purpose of this pilot study was to investigate the effects of…

Research demonstrates that seductive details negatively impact learning from instructional materials such as textbooks and learning modules. Yet, anecdotally, teachers and students consider seductive details an enhancement to classroom lectures. We examined this apparent disconnect by exploring the impact of seductive details in mathematics…

This study sought to analyse, using the Mathematics Discourse in Instruction framework, teachers' explanatory talk when introducing standard units of length in standard 4 in Malawi. The study analysed teachers' use of content and pedagogical practices for introducing standard units of length and how that made the concept of standard units of…

This paper reports how twenty six New South Wales public school teachers creatively integrate interactive whiteboards into their mathematics instruction to support students' learning through adopting a variety of digital resources in conjunction with the interactive whiteboard including online applications, educational software and presentation…

This study focuses on how the combined use of graphic calculators with connectivity software promotes the social construction of mathematical knowledge. Particular emphasis is placed on the aspects related to design, development, implementation, and evaluation of didactic activities that integrate these technologies. We use Didactical Engineering…

In this study, we considered how middle school teachers understood the relationship between fractions and ratios. We used two instruments to collect data from 11 teachers and relied on Knowledge in Pieces as a lens for considering understandings teachers have and how coherent those understandings are. From our analysis, we developed three main…

In this study we investigated eighth grade students' informal justification for the circle area formula to expand accounts of the measurement knowledge for middle-school age students. Data were collected during three paired interviews of a three-year teaching experiment. Here we describe schemes students exhibited as they operated on measurement…

Understanding how students learn is important for both researchers and teachers. In terms of mathematics, constructing a new mathematical structure depends on conceptual understanding and connection with previous construct and they needs to be consolidated. A construct can be consolidated when the construct is recognized and used in the further…

The purpose of this article is to explore the usefulness of a video-based tool for measuring teachers' mathematical knowledge for teaching. Unique to this tool is the use of a video featuring a mathematical disagreement that occurred in an elementary classroom. The authors define mathematical disagreements as instances in which students challenge…

This paper addresses an important task teachers face in class: the identification and support of creative and high-achieving students. In particular, we examine whether primary teachers (1) have acquired professional knowledge during teacher education that is necessary to foster creativity and to teach high-achieving students, and whether they (2)…

This study explores the effect of a history-based course on pre-service teachers' mathematical knowledge for teaching (MKT). Data were collected from 10 pre-service teachers at a normal university in China. At the beginning of the course, participants were asked to submit their teaching plans followed by a teaching simulation on selected topics.…

The purpose of this study was to detail teachers' proving activity and contribute to a framework of Mathematical Knowledge for Teaching Proof (MKT for Proof). While working to justify claims about sums of consecutive numbers, teachers searched for key ideas and productively used examples to make, test and refine conjectures. Analysis of teachers'…

We describe how multimedia scenarios delivered online can be used in instruments for the study of professional knowledge. Based on our work in the study of the knowledge and rationality involved in mathematics teaching, we describe how the study of professional knowledge writ large can benefit from the capacity to represent know-how using…