Learning progressions (LPs) are cognitive models that describe the development of scientific knowledge and practices in students. They are constructed based on learning theories and student data. Scholars have advocated for using LPs to align curriculum, instruction, and assessment into a coherent system, and by doing so, promote productive…

Noticing is an essential skill for all teachers of mathematics. Mathematics teacher educators have utilized a variety of tools to practice and develop preservice teachers' (PSTs') ability to notice, which we extend to include photographs and learning trajectories. This article explores PSTs' noticing skills by analyzing work samples from a methods…

Allowing learners to move across learning contexts in novel ways, digital tools play an increasingly central role for the formation of learning trajectories and identities. They thus presumably also affect dynamics of social sorting in education. Against this background, this article introduces a conceptual framework for unravelling dynamics of…

Development of the cardinality principle, an understanding that the last number-word recited in counting a collection of items specifies the number of items in that collection, is a critical milestone in developing a concept of number. Researchers in early number development have endeavored to theorize its development. Here we critique two widely…

Science in schooling has for the first time been recently considered as a verified whole for the 10 or 12 of its compulsory years, rather than for a limited sector of schooling or for a particular group of students. This has also been occurring as part of a wider review and plan for the whole curriculum of schooling. A framework has been provided…

How do classroom exchanges shape the developing forms and functions of literacy learning and teaching as students transition across the years of schooling? We explore this question using excerpts from literacy lessons from primary and secondary classrooms, showing how lesson exchanges develop as trajectories connecting different forms of 'knowing'…

How instructional sequences guide learning processes are often regarded as a neutral act. However, does designing instruction carry a politics? This investigation explores how instruction is made as a pedagogical object. The purpose is to explore the epistemological principles and conceptual framework that produce instruction's formalized…

Research on LTs remains a central topic in mathematics education. In this plenary paper, I argue that LT-based research needs a hard re-set if it is to play a role in creating more equitable and anti-oppressive experiences for historically marginalized students. I begin with an overview of LT-based research presented during PME-NA plenary…

This article examines the processes of educational ethnography and questions the traditional use of the field notebook and research relationships. It forms part of an ongoing collaborative study analyzing university students' learning trajectories. Guided by inclusive ethics, the study proposes that researcher-participant collaboration is…

We argue in this paper that there is currently no adequate theoretical framework or model that spans the twelve odd year trajectory from non-reader to proficient reader, nor addresses fine-grain skill acquisition, mastery and integration. The target construct itself, reading proficiency, as often operationalized as an endpoint of formal secondary…

Big ideas, sometimes referred to as key, core, fundamental or threshold concepts, are widely applicable concepts at the heart of disciplines that are or have been central and influential for their fields. Attention here is particularly directed to meta-concepts common to sister disciplines in the sciences. "Learning thresholds",…

The SHAPE America National Physical Education Standards have long been the foundation for best practices in quality physical education. Following the 10-year cycle for revising the standards, a task force with diverse professional backgrounds convened to update the National Standards with special consideration for stakeholders who will be impacted…

This conceptual paper contributes to a broader perspective on doctoral experience via a synthesis of several crucial concepts during the doctoral journey. The first part discusses the core challenges customarily confronting doctoral scholars due to the distinct PhD genre leading to introducing the main conceptual base. Metacognition, being central…

Young people need clear pathways to navigate from K-12 education into careers that align with their interests, strengths, and life goals. But they often lack the information, support, and access to choose and complete postsecondary pathways that are right for them. The federal government can play an important role in bridging this gap, by…

The authors argue that successful "transitions" are inseparable from both "learning" and "becoming." Furthermore, for students to experience successful transitions (and the learning inherent in navigating those transitions) individual educators and institutions more generally need to attend to the issues of…