In 2020, two teachers and seven students participated in an action research project that sought to improve the teaching and learning of fractions in a New Zealand primary school. This research revealed that the collaborative creation of hypothetical learning trajectories was beneficial to the teachers' practice, content knowledge, and confidence,…

This manuscript describes the implementation of a Course-based Undergraduate Research Experience (CURE) sequence in chemistry that uses research to link a lower division, organic chemistry course to an upper-division, analytical chemistry course. In the CURE sequence, students created a library of modified sugar molecules during CURE-1, Organic,…

This systematic review aims to explore how task complexity and task sequencing affect the complexity, accuracy, and fluency (CAF) of second language performance. Through an analysis of studies conducted between 2012 and 2021, this review investigates the characteristics of the studies, operationalisation of task complexity, measurements of CAF,…

Blended learning (BL) is regarded as an effective strategy for combining traditional face-to-face classroom activities with various types of online learning tools (e.g., e-books). An effective feature of e-books is the ability to use digital notes. When e-books are used in BL, the strategic adoption of note-taking provides benefits that influence…

International concerns about the educational equity of ethnic minorities have continued to highlight teachers' abilities to be culturally responsive. How do teachers manage cultural diversity through their pedagogical practices in the absence of relevant teacher training? The answer to this question is essential as it may help move our…

Educational leaders face immense challenges each day. Currently, such challenges include, but are not limited to, reckoning with the United States' ongoing legacy of persistent and pervasive racism, supporting students' health and wellness in the aftermath of a global pandemic, and facilitating difficult intercultural dialogs during a time of deep…

This paper focuses on the structure and substance of the Core Content Framework (CCF), a controversial document which stipulates content that providers of teacher education in England must incorporate in their programmes. We identify both a concept of instrumental trainability and a lack of coherence in the CCF which suggests it is unsuitable as a…

In this article, the authors explore how the 3C Model can be used to integrate other curriculum areas with mathematics, namely digital technologies. To illustrate the model, they provide a practical example of a teaching sequence. T he 3C Model is designed to create opportunities for applying reasoning and problem-solving skills and learning…

Presenting a pictorial representation followed by a textual representation supports learners to build a coherent mental model. Providing an elaboration prompt stimulates learners to process the learning content semantically. Hence, combining both approaches might result in synergetic effects as both foster mental model development, which could be…

Music curriculum programmes are designed by English Music teachers in schools as the primary means of musical engagement for young people aged 11-14. Such Music curricula are often structured in learning topics. However, Music teacher rationales for the sequencing of the topics they have chosen to include in their curriculum is an under-developed…

Transition metrics, which quantify the propensity for one event to follow another, are often utilized to study sequential patterns of behaviors, emotions, actions, and other states. However, little is known about the conditions in which application of transition metrics is appropriate. We report on two experiments in which we simulated sequences…

In this paper I explain how I usually introduce the Schrödinger equation during the quantum mechanics course. My preferred method is the chronological one. Since the Schrödinger equation belongs to a special case of wave equations I start the course with introducing the wave equation. The Schrödinger equation is derived with the help of the two…

Through research-backed strategies and practical applications, author Julia A. Simms explores self-regulated learning, instructional sequences, and brain-based learning. She examines the development of cognitive and metacognitive skills, working memory, and effective explicit instruction, offering step-by-step guidance for teachers to facilitate…

Learning trajectories (LTs) can inform teaching by contributing a variety of pedagogical and content-related insights and strategies. They support sequencing topic introduction and development. Because ideas evolve gradually and often rely on a careful introduction of new representations, operations, cases of numbers, structures, and definitions,…

In the context of a professional learning research project we investigated the nature of support offered to classroom teachers and school mathematics leaders to facilitate teachers' implementation of sequences of challenging tasks. End of year questionnaire data were collected from 70 Foundation to Year 2 teachers and ten numeracy leaders who…