Field supervisors are central to clinical teaching, but little is known about how their feedback informs preservice teachers' (PSTs) development. This sequential mixed methods study examines over 3,000 supervisor observation evaluations. We qualitatively code supervisor written feedback, which indicates two broad pedagogical categories and nine…

Critical thinking is essential in academia and the workforce. Although writing can be used as a pedagogical tool for fostering deeper subject matter understanding, increased retention, and critical thinking, relatively few science courses are writing based. This writing-based introductory science course provided an opportunity for students to…

Field supervisors are central to clinical teaching, but little is known about how their feedback informs preservice teachers (PSTs) development. This sequential mixed methods study examines over 3,000 supervisor observation evaluations. We qualitatively code supervisor written feedback, which indicates 2 broad pedagogical categories and 9 separate…

Our complex world requires multivariate reasoning to make sense of reality. Within this paper, we offer a sequence of activities designed to develop multivariate reasoning by explicitly connecting data and visualization. The activities were designed based on a hypothetical learning trajectory we conjectured for students with limited experience…

Quantum information science and engineering (QISE) is a rapidly developing field that leverages the skills of experts from many disciplines to utilize the potential of quantum systems in a variety of applications. It requires talent from a wide variety of traditional fields, including physics, engineering, chemistry, and computer science, to name…

Responsive teaching requires teachers to have knowledge of children's thinking. Prospective teachers need support in developing such knowledge because they often enter teacher preparation programs with fragile mathematical knowledge and anxiety about teaching mathematics to children. We designed a learning trajectory-based intervention to support…

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",…

We discuss the importance of bringing teaching to the forefront of instructional design. We do so by describing the process of developing an instructional sequence for early number, using design research. The instructional sequence was developed with the specific aim of supporting teaching, conceived as a complex and demanding job, not reducible…

This article explores lecturers' experience of adapting, shaping and transforming teaching and learning during the COVID-19 pandemic. The study focuses on understanding the challenges and opportunities that are afforded by pandemic-induced changes in terms of digital teaching and learning and their post-pandemic implications. Empirical data were…

"Representational transformation diagrams" are used to compare and contrast standard textbook presentations of vector line integrals in undergraduate courses in both mathematics and physics. These presentations are taken as the lower anchor in a learning trajectory. Two principal approaches in the lower division are identified, roughly…

Amid climate change, digital transformation, global warming, economic recessions, and rising geopolitical tensions, K-12 and higher education are undergoing a profound transformation. All these remarkable and unsettling changes, along with groundbreaking advancements over the past decade, will undoubtedly impact students' learning trajectories and…

When the need of transforming and remixing music education is illuminated, fields of tensions in relation to the traditional master-apprentice model of teaching often appear. Binaries have been constructed and critiqued in research to describe tensions at various music educational levels. Some studies have also asked for a holistic,…

This study aims to design case-based learning with lesson study learning trajectory with the help of teaching aids to make students understand Prim's, Cruscal's, and Djiksra's Algorithms. The validation study was selected because it is a suitable method for this research. The research subjects were 41 Mathematics Education Study Program Students…

This paper shares findings from the study of a learning sequence designed to support prospective elementary teachers (PTs) in identifying evidence of conceptual understanding and procedural fluency. Conceptual understanding and procedural fluency are widely recognized as important to teaching and learning mathematics, and identifying evidence of…

Educators of International Teaching Assistants (ITAs) have been overlooked, erroneously. As teacher educators, their work is exponentially important to North American universities. A multiple case study examined three ITA Educators' ideologies, involving data from two interviews -one being a stimulated recall using classroom observations…