Based on our work teaching undergraduate Calculus courses, we offer insight into teaching the chain rule to reduce cognitive load for students. A particularly difficult topic for students to grasp, problems likely arise due to student struggles with the concept of function and, particularly, function composition relative to when they first…

The static equilibrium properties of a spool, resting on an incline and subject to the tension exerted by a string wrapped around the core cylinder, are studied by means of Newtonian mechanics. The overall behaviour of this system is imagined to be similar to that of a doggie kept on a leash. Starting from the well-known mechanical properties of…

This book explains seven critical steps to improve children's writing. Though seemingly 'natural', writing proves devilishly difficult for far too many school pupils and closing this gap can have a lasting impact on their academic and life success. With the goal of giving every teacher the knowledge and skill to teach writing with confidence, it…

This brief underlines the contribution higher education makes to tackling entrenched global challenges and realising all of the United Nations 17 Sustainable Development Goals (SDGs) -- through research, teaching, and community engagement. Higher education-led partnerships should be recognised as an effective model that adds value to the…

Of the three main subdivisions in chemistry, physical chemistry often presents a challenge when delivered to those not majoring in chemistry or its cognate disciplines. This is, at least in part, due to the seemingly unrelatedness of the subject to students' anticipated career. We describe the redesign of a nested physical chemistry course for…

The EdResearch for Action "Design Principles Series" focuses on a single program or practice that has been proven to have positive effects on student outcomes. The series helps practitioners adapt and successfully implement an evidence-based program to meet the needs of their target population. This brief provides the evidence base to…

Uncertainty about the future is a defining feature of our times due to ongoing and global environmental emergencies. This reality prompts a re-evaluation of the traditional role, purpose, and ethics of post-secondary courses such as English literature. The present moment calls for pedagogical practices that support holistic learning, community…

In this paper, we share our collaboration across the disciplines of mathematics and mathematics education to develop and implement a mathematical modeling task for prospective secondary mathematics teachers. Through this collaboration, we identified three key components of mathematical modeling: the "what," "how," and…

This Fast Five provides an overview of key evidence-based practices that should be considered as part of core mathematics instruction, as well as intervention settings to meet the needs of all students.

Online courses are growing rapidly in K-12, but teachers often receive no preparation for teaching in these environments. While field experiences in virtual schools may be useful, very few teacher education programs offer such an opportunity and there is very little research on the design and effectiveness of such an approach. In this design case…

More research attention and implementation support are needed for mathematics intervention as student achievement in this area continues to fall below desirable levels. Incremental rehearsal is an intervention to help students build reading, vocabulary, and math fluency. Research supports the use of incremental rehearsal for improving math fact…

The research brief, "Integrating Literacy And Science: A Powerful Partnership for Student Success," describes four key components of effective integration ofliteracy and science instruction at the elementary level. In this practitioner's guide, the authors describe sample lessons to demonstrate each of these components inaction in an…

This is the executive summary for "Teacher Prep Review: Solving for Math Success." It provides key findings from the full report and recommendations.

This paper presents an innovative teaching approach that integrates photoelectric technology with analytical chemistry instruction through inquiry-based learning (IBL), using cerium as a selected analyte. With the advancement of science and technology, a strong foundation of basic knowledge and methodologies is crucial in analytical chemistry…

Since the publication of Pedagogy of the Oppressed, Paulo Freire has been important for disseminating the concept of dialogue in education. Dialogue is often framed as the kind of interaction that educators should enact in their practice, to right historical and socio-political wrongs. With this, speaking and assuming one's voice has a special…