As curriculum scholars in South Africa express concerns about the failures of the outcomes-based curriculum policy that has been introduced post-apartheid it is of increased importance to try and understand the professional development that is required by teachers for its successful implementation. As a contribution to the development of such…

This interactive electronic report provides an overview of an innovative new instrument developed by researchers at the Consortium for Policy Research in Education (CPRE) to authentically measure teachers' formative assessment practices in mathematics. The Teacher Analysis of Student Knowledge, or TASK, instrument assesses mathematics…

The allure of using data to improve performance is a source of tremendous activity in the education field today. "Data use" has spurred a wide variety of reforms at all different levels of the education system, ranging from infrastructure augmentation to state databases, to district dashboard systems that collect and display an array of…

The Swan Valley Cluster of Schools for the Make it Count project identified the professional learning of teachers as a key factor in improving the numeracy outcomes of urban Indigenous children. Two mentor teachers were assigned to support cluster teachers in planning and teaching mathematics during 2011. This paper reports on the initiative and…

Recent dominant models of student teacher learning include apprenticeship and reflective practice, but these are now being challenged, extended and enriched by broader sociocultural models of learning. These new models direct attention to how learning is shaped by an interplay between the characteristics of the student teachers, their lecturers…

There has, for some years, been a growing concern about participation in university-entrance level mathematics in England and across the developed world. Extensive statistical analyses present the decline but offer little to help us understand the causes. In this paper we explore a concern which cannot be explored through national data-sets,…

In the last decade, the Hashemite Kingdom of Jordan has made a substantial commitment to improving the quality of its public education system. The main vehicle for this work has been the Education Reform for Knowledge Economy (ERfKE) initiative. To date, key investments have been made in early childhood education, school infrastructure,…

The concept of learning progressions offers one promising approach to developing the knowledge needed to define the "track" that students may be on, or should be on Learning progressions can inform teachers about what to expect from their students. They provide an empirical basis for choices about when to teach what to whom Learning progressions…

Theories that explain the gender discrepancy in mathematics almost universally explain why boys are "better at math" than girls while failing to adequately account for girls' higher grades in math classes or better performances on tests of computational ability. This article develops a new, more comprehensive theoretical model that explains girls'…

This article reports results from a study investigating the impact of a sustained, comprehensive early algebra intervention in third grade. Participants included 106 students; 39 received the early algebra intervention, and 67 received their district's regularly planned mathematics instruction. We share and discuss students' responses to…

The mathematics education community values using student thinking to develop mathematical concepts, but the nuances of this practice are not clearly understood. The authors conceptualize an important group of instances in classroom lessons that occur at the intersection of student thinking, significant mathematics, and pedagogical…

In mathematics education, a vast amount of research has shown that students of different ages have a strong tendency to apply linear or proportional models anywhere, even in situations where they are not applicable. For example, in geometry it is known that many students believe that if the sides of a figure are doubled, the area is doubled too.…

This chapter is about culture and mathematics teaching and learning. The authors' goal is to offer a thoughtful treatment of the role of culture in the teaching and learning of mathematics and to synthesize literature that is relevant to this concern from multiple subdisciplines in education, including math education, educational anthropology,…

Two major reform efforts in K-12 science education have taken place during the past 50 years. The first was the 1950-1970 curriculum reform efforts motivated by the launching of Sputnik and sponsored by the newly formed National Science Foundation (NSF) in the United States and by the Nuffield Foundation in the United Kingdom. The signature goal…

Recent international studies have highlighted the success of students from Hong Kong in mathematics and problem-solving, and have begun to suggest some of the factors associated with this success. Other studies have suggested that Hong Kong students are averse to risk-taking, favouring memorisation and imitation in their solution strategies. Year…