In conversations about pedagogy, researchers often overlook how physical space and movement shape teacher sensemaking. This article offers a comparative case study of classroom videos using a dynamic visual method to map embodied interaction called "interaction geography." Our analysis proposes an integrative framework to study classroom…

This study focused on improving students' learning mathematical of proofs and proving by using combinations of proof strategies that span different levels of understanding of proof structure; we refer to these as 'level-spanning proof-production strategies'. We analysed the level-specific proof-production strategies evident in the lessons and…

To encourage students' self-regulated learning at home, developing skills for textbook use to overcome learning-related impasses is crucial. This study examined the effects of providing mathematics class sessions that combined teacher instruction on appropriate textbook use with peer instruction, aimed at promoting students' spontaneity and…

Probability is a difficult concept, which is not always taught accurately. This study aims to clarify how experimental and theoretical probabilities are taught in Japanese 7th and 8th grades through a textbook analysis. We analyzed seven, government approved Japanese 7th and 8th grade textbooks each. Focusing on the definition and explanation of…

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…

A highly distinctive and structured approach to teacher development, Lesson Study emerged in Japan but has since been adopted much more widely and now sees growing interest in the UK. Tony McConnell, Davinia Daley, Rebecca Levy, Lisa Waddell and Richard Waddington describe the process by which their school first investigated and then adopted…

Recently a team of third- and fourth-grade teachers tested instructional ideas on the topic of division with remainders (DWR) using lesson study. The Common Core State Standards for Mathematics give little attention to the concept of the remainder, specifying only that students are to solve problems for which remainders must be interpreted (NGA…

This paper reports on a study conducted within VIDEO-LM (Viewing, Investigating and Discussing Environments of Learning Mathematics), a video-based professional development project for secondary mathematics teachers that aims to enhance reflection on practice. The study explored VIDEO-LM sessions where Israeli teachers watched an 8th grade…

On international comparisons, the development of Oman's education system in terms of the increase in educational enrolment rates and in the level of teacher qualifications has been remarkably rapid. Almost 100% access to basic education has been achieved, and almost all students progress onto post-basic education. A report from the World Bank in…

The OECD Future of Education and Skills 2030 (E2030) project's overall goal is that of looking to the future in terms of how school curricula should evolve given the technological advances and other changes that societies are now facing. Towards that end, the E2030 project centres on the idea that education needs to equip students with the…

This experimental study examined how VSTF (Visual-Syntactic Text Formatting)-based text benefits reading speed, reading comprehension, reading efficiency and retention for middle and high school students. Prospective within-subjects tests were conducted in Japan on a total of 132 students: 76 high school students from 12th grade and 56 middle…

Proof and proving are important components of school mathematics and have multiple functions in mathematical practice. Among these functions of proof, this paper focuses on the discovery function that refers to invention of a new statement or conjecture by reflecting on or utilizing a constructed proof. Based on two cases in which eighth and ninth…

Deictic linking gestures, hand and arm motions that physically embody links being communicated between two or more objects in the shared communicative environment, are explored in a cross-cultural sample of mathematics instruction. Linking gestures are specifically examined here when they occur in the context of communicative analogies designed to…

The importance of homework activities for student achievement has been extensively discussed. Research has indicated that, in general, students who spend more time on homework tend to show higher levels of academic achievement. For instance, results from the Third International Mathematics Study (TIMSS) indicated that adolescent students in Japan…

Using the Trends in International Mathematics and Science (TIMSS) video study, the authors compare science teaching practices in the United States and in four other countries that outperformed the United States: Australia, the Czech Republic, Japan, and the Netherlands. Their observations of videotapes from 100 8th-grade science lessons in each…