Teachers are increasingly adopting flipped instruction for individual lessons or even entire courses. Typically, flipped instruction involves a teacher assigning videos for homework and then using in-class time for students to solve problems--that is, the settings for content delivery and completing assignments have "flipped." In…

Flipped instruction is being implemented in an increasing number of mathematics classes but the research base is not yet well developed. Many studies of flipped instruction involve a small number of flipped classes being compared to non-flipped classes, but this methodology fails to account for variations in implementations. To aid in the…

Drawing on sequential and multimodal analysis of video-recorded classroom interactions, the paper examines in detail the interactional practices and verbal and bodily displays that serve to (re-)establish a congruency between the teacher's expectation with regard to the participants' relative knowledge and the students' actual knowledge claims. By…

"Flipping" the classroom refers to a pedagogical approach in which students are first exposed to didactic content outside the classroom and then actively use class time to apply their newly attained knowledge. The idea of the flipped classroom is not new, but has grown in popularity in recent years as the necessary technology has…

This study analyzes teachers' reflective conversations occurring while viewing authentic classroom video captures within a professional learning network. Select video recordings of participating teachers of the PLN were presented in both a small group and large group context. Members of the research team facilitated the discussions and guiding…

In this article we describe a partially flipped Introductory Linear Algebra course developed by three faculty members at two different universities. We give motivation for our partially flipped design and describe our implementation in detail. Two main features of our course design are team-developed preview videos and related in-class activities.…

Visible Thinking is a research-based approach to teaching thinking, begun at Harvard's Project Zero, that develops students' thinking dispositions, while at the same time deepening their understanding of the topics they study. Rather than a set of fixed lessons, Visible Thinking is a varied collection of practices, including thinking routines…

This paper describes a case study of two pure mathematicians who flipped their lecture to teach matrix determinants in two large mathematics service courses (one at Stage I and the other at Stage II). The purpose of the study was to transform the passive lecture into an active learning opportunity and to introduce valuable mathematical skills,…

Generalization is a critical component of mathematical activity and has garnered increased attention in school mathematics at all levels. This study documents the multiple interrelated processes that support productive generalizing in classroom settings. By studying the situated actions of 6 middle school students and their teacher-researcher…

This paper discusses the use of interactive graphics to teach multivariate data analysis to Psychology students. Three techniques are explored through separate activities: parallel coordinates/boxplots; principal components/exploratory factor analysis; and cluster analysis. With interactive graphics, students may perform important parts of the…

This comprehensive book offers a practical pathway for developing twenty-first-century skills while simultaneously strengthening content-area learning. "Digital Learning" contains a wealth of research-based practices to integrate the International Society for Technology in Education (ISTE) National Education Technology Standards (NETS) for both…

Technology offers ample opportunities to bring reality into the classroom. Students and teachers nowadays have many tools to work in an authentic way with real data in mathematics and science education. However, much research and development are still needed to create a consistent learning trajectory out of the many exciting single activities.…