This qualitative research study uses middle-grades students' numerical reasoning to model their symbolic representations of the relationship between two multiplicatively related unknowns on an algebra task. Students in sixth grade through ninth grade participated in clinical interviews that assessed their numerical reasoning using the Number…

The aim of this article is to present a pedagogical approach for history education. This approach is called Meaningful History and it outlines the process by which upper-level secondary history students can cultivate historical consciousness. Based on the notion of learning as meaning making and historical consciousness as a disposition to engage…

The making of mathematical connections in the classroom plays a dual role. While many studies highlight the importance of connections for the learning of mathematics, others inform of students' difficulties associated with the making of connections. This study aims to characterise the mathematical connections that arise in habitual classroom…

In 2014, the National Association for Music Education released music standards that strongly emphasized creativity, encouraging teachers to find new ways to implement creative activities into their classrooms. As such, making cross-modal associations and emphasizing divergent thinking are important priorities for teachers to consider. Synesthesia…

"Productive Uncertainty in Science Education" provides the support that teachers and students need for more complex science investigations. Science is driven by the need to manage uncertainty--uncertainty about how to explain the world, but also how to represent the world in an investigation, what to measure, and how to convince peers to…

The common purpose of models is to provide simplified representations of other phenomena. Depending on type, they are suitable for communication, documentation, prognostication, problem solving, and more. Various types of models, such as drawings, mock-ups, flow charts, and mathematical formulae, are important tools in engineering work. An…

Introduction: Computer Science Education does not have a universally defined set of concepts consistently covered in all introductory courses (CS1). One approach to understanding the concepts covered in CS1 is to ask educators. In 2004, Nell Dale did just this. She also collected their perceptions on challenging topics to teach. Dale mused how the…

With the rapid changes in globalization and technology advancement, self-directed learning is argued repeatedly as a key competency needed to survive in the twenty-first century. In August 2019, the Taiwan Ministry of Education implemented the new "Curriculum Guidelines for 12-Year Basic Education." Being Taiwan's first official…

Drawing on Dweck and Leggett's (1988) implicit beliefs of intelligence framework, the present study explored the incremental belief of intelligence (IBI) and how it correlated to metacognitive skills that reflected vocational students' project design engagement. Data were collected from students from 2 vocational high schools involved in project…

A rigorous and axiomatic-deductive approach is emphasized in teaching mathematics at university-level. Therefore, the secondary-tertiary transition includes a major change in mathematical thinking. One viewpoint to examine such elements of mathematical thinking is David Tall's framework of the three worlds of mathematics. Tall's framework…

After the publication of the "CEFR Companion Volume" in 2018, a revision of the curriculum in force for the English subject in the Bilingual Sections in the Community of Madrid has been implemented. One of the main changes is the inclusion of the concept of linguistic mediation in the subject 'Advanced English' in the last stage of…

The recent inclusion of "cultural capital" into the English Ofsted Education Inspection Framework (2019) caused a ripple of discontent within some educational circles, with some suggesting it is indicative of 'white, middle-class paternalism'. Here, we consider the political rise of Bourdieu's concept of 'cultural capital' within the…

Anthropogenic climate change is an urgent and pervasive challenge, yet it remains a polarizing subject. In the United States, studies have shown that rural communities tend to view climate change with less urgency than urban communities, which could delay action in response to the crisis. In rural areas that are highly dependent on agricultural…

Researchers have typically identified and characterized teachers' knowledge bases (e.g., pedagogical content knowledge and subject matter knowledge) in an effort to improve enacted instructional strategies. As shown by the Refined Consensus Model (RCM), understanding teacher learning, beliefs, and practices is predicated on the interconnections of…

Universal Design for Learning (UDL) provides a framework, based in brain research, to design instruction around the needs of all learners. By considering the UDL principles as educators design science instruction, they can proactively address how to engage students, how to make content accessible, and how to provide options for students to…