The analysis of the content of school textbooks, particularly in a time of cross-cultural borrowing, is a growing field restricted by the tools currently available. In this paper, drawing on the analyses of three English year-one mathematics textbooks, we show how two approaches to the analysis of sequential data not only supplement conventional…

In this study we aim to characterize a way of proving which can be produced in a primary mathematics classroom and explore the factors that influence these processes and lead to changes in the way of proving. Assuming proving as a socially embedded activity, we conceptualize it as the interplay between 'construction' and 'substantiation' based on…

In this paper, we examine the national curricula for primary mathematics for each of the four constituent nations of the United Kingdom (England, Northern Ireland, Scotland and Wales) for the estimation-related opportunities they offer children. Framed against four conceptually and procedurally different forms of estimation (computational,…

This research investigates the potential for a one-to-one coaching tool used by adults other than teachers to be able to deliver greater mathematics progress for primary school children without adding significantly to school costs. Plus 1 and Power of 2 (+1 and Po2) are workbooks designed to be used by adults other than teachers working on a…

In this paper, we report an enquiry into elementary preservice teachers' learning, as they engage in doing mathematics for themselves. As a group of researchers working in elementary Initial Teacher Education in English universities, we co-planned and taught sessions on growing pattern generalisation. Following the sessions, interviews of fifteen…

School life in England (and beyond) is temporally structured, with learning planned as a time-limited activity, both within lessons and across units of work. Discourses of performativity and measurement pervade school life in many societies and, what we call "regulated time" controls school-based learning. In particular, primary…

The term "middle leader" in the context of English education has evolved into an overarching title to describe a leadership position for practitioners who have school wide responsibilities in addition to their classroom duties. Such responsibilities can consist of pastoral leadership; curriculum leadership; leadership of additional…

We make a "prima facie" case for identifying a single pathway in the learning of Hindu-Arabic numerical symbols and discuss why this ability may be a critical gateway concept in developing mathematical competencies. A representative sample of English and Scottish children was assessed using a number symbol identification paradigm in the…

Based on the control-value theory of achievement emotions, this longitudinal study examined students' control-value appraisals as antecedents of their enjoyment and boredom in mathematics. Self-report data for appraisals and emotions were collected from 579 students in their final year of primary schooling over three waves. Data were analyzed…

This paper offers a new methodology for researching children's identifications in the early primary phase that makes visible the 'seeds' of academic dis-/identities, which typically flower later in adolescence. It focuses on the 'case' of mathematical identifications (MI) to exemplify how children come to dis/identify from the academic curriculum…

'Mastery' is central to current policy in mathematics education in England, influenced by East Asian success in transnational assessments. We scrutinise the prospects for mastery pedagogies to improve pupil attainment in English primary schools. The Mathematics Teacher Exchange (MTE)--an element of the mastery innovation--involves teachers…

This article reviews research on the achievement outcomes of elementary mathematics programs. 85 rigorous experimental studies evaluated 64 programs in grades K-5. Programs were organized in 6 categories. Particularly positive outcomes were found for tutoring programs. Positive outcomes were seen in studies focused on professional development for…

This paper presents the findings of a 1-year efficacy trial of Maths Counts (MC), an intensive, individualised programme delivered by trained teaching assistants. The programme was delivered 3 times a week over 10 weeks. The sample included 291 Year 3 to Year 6 pupils (age 7 to 11) from 35 primary schools in England. Pupils were individually…

"The Effectiveness of Mathematics Teaching in Primary Schools: Lessons from England and China" provides a unique insight into the mathematics classrooms of these two countries and arrives at a time when the world is eager to know how Chinese learners consistently excel at learning mathematics and other core subjects. Showcasing the kinds…

In this paper, we extend a mixed method (MM) approach to lesson observation and analysis used in previous research in England, combining multiple structured observation instruments and qualitative field notes, to provide a framework for studying three videotaped lessons from 3rd-grade US mathematics classrooms. Two structured observation schedules…