In this article, we explore demands and tensions involved when schools implement ambitious mathematics teaching (AMT). Following a description of a framework that distinguishes between internal and external demands, we characterize the tension between these in terms of alignment, balance, and buffering, which collectively speak to coherence. We…

The ways teachers converse about their work in relation to information and communications technologies (ICTs) are worth studying. We analyse how a teacher converses about her local practices in relation to two spreadsheet algebra programs (SAPs) on variables. During the conversations we noticed that the teacher keeps different policy documents --…

"Catalyzing Change in Early Childhood and Elementary Mathematics" is part of the Catalyzing Change Series, a collection of three books intended to initiate the critical conversations on policies, practices, and issues that impact mathematics education. In 2018, the first book in the series, "Catalyzing Change in High School…

In recent years, attention has turned to the development of evidenced-based learning progressions/trajectories as a means of identifying the likely paths learners might take in developing a deep, well-connected understanding of key aspects of mathematics. However, the extent to which this work influences what happens in mathematics classrooms…

The Forty Fifth Annual meeting of the North American chapter of the International Group for the Psychology of Mathematics Education was held PME-NA 45 in Reno, Nevada, October 1-4, 2023. The conference theme is "Engaging All Learners." Math learning should be a joyful experience for all students. When students are engaged and inspired,…

Large numbers of students are not proficient in mathematics and there are disparities in mathematics achievement between students from different ethnic and socioeconomic groups. Mathematics skills are important for both academic and workplace success and there are a large number of interventions that aim to improve student mathematics achievement.…

This paper discusses the effects of large-scale studies, including international comparative studies and national studies using nationally representative samples, on policy making and practices pertinent to mathematics education in Taiwan, through the lens of Taiwanese societal and cultural characteristics. Taiwan has been through several…

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…

These proceedings are a written record of the research presented at the 41st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in St. Louis, Missouri, November 14-17, 2019. This year's conference theme is "...against a new horizon." The papers comprise 67…

These proceedings are a written record of the research presented at the 44th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Nashville, Tennessee, and virtually. This year's conference theme is "Critical Dissonance and Resonant Harmony." The aim of this…

While mathematics education researchers have long characterized student performance marked by mathematical explanations, arguments, and justifications as evidence of mathematical reasoning and understanding (e.g. Schoenfeld, 1992), current education policy has begun to move in a similar direction, emphasizing sense making and mathematical…

This article considers the relationship between policy and practice in the early childhood mathematics curriculum for reception-class (RC) children of five years in England. It explores what the policy requires RC teachers to do in terms of curriculum implementation; what RC teachers' views and understanding of the early childhood mathematics…

Now that most states have adopted the new Common Core State Standards, the next major challenge is to simplify and implement them by 2014. That is why it is important to begin this work now. Joe Crawford, Milken Award-winning educator and author of "Using Power Standards to Build an Aligned Curriculum", shares his proven process for…

Reforms in education have repeatedly been confronted with the challenge of policy implementation. Recent initiatives in mathematics are no exception. Pressing for fundamental and complex changes to pedagogy, the initiatives demand much from teachers. In this article, we propose a conceptual frame for understanding how teachers and schools work to…

Competence in mathematics is integral to a wide range of disciplines, professions and areas of life. This Eurydice report reveals crucial elements of the policies and practices that shape mathematics instruction in European education systems, focusing on reforms of mathematics curricula, teaching and assessment methods, as well as teacher…