In a chemistry course for students not majoring in science, there is more to learn than some memorized facts: the student can find, in most non-major chemistry texts, the definition of atomic number, something about chemical bonding, and names of some classes of chemical compounds. Where facts come from and how accurately they are known are often…

Drawing on research around the utility of worked examples, we examine how 29 first- and 27 third-grade students made sense of integer subtraction worked examples and used those examples to solve similar problems. Students first chose which of three worked examples correctly represented an integer subtraction problem and used the example to solve a…

This research shares progressions in thinking about equations and the equal sign observed in ten students who took part in an early algebra classroom intervention across Kindergarten and first grade. We report on data from task-based interviews conducted prior to the intervention and at the conclusion of each school year that elicited students'…

This paper reports on one aspect of a bigger project: teachers' design of instructional materials. We found a number of design moves used by the teachers in our study. In this paper, we report three of them: Making things explicit, making connections, and resequencing practice examples. [This paper is the fourth in a symposium of four papers. For…

Research has shown the majority of students who have completed a university calculus course reason about the definite integral primarily in terms of prototypical imagery or in purely algorithmic and non-quantitative ways. This dissertation draws on the framework of Emergent Quantitative Models to identify how calculus students might develop a…

Over the last several decades, significant pressures resulting from financial challenges, declining undergraduate enrollments, changing demographics and now the COVID-19 pandemic, have caused college and university leaders to consider interinstitutional merger for both economic and strategic purposes. However, both knowledge and methodological…

Widespread access to digital and social media has drastically altered the nature of youth's interpersonal connections. In this context, the opportunities children and adolescents have to help people around them are rapidly evolving. In this article, we review emerging literature on how digital media influences youth's prosocial development in new…

Declarative concepts (abstract concepts denoted by key terms and definitions) are foundational content in many courses at most grade levels. The current research compared the relative effectiveness of provided examples to faded examples (a technique involving a transition from studying provided examples to completing partial examples to generating…

This paper examines David Bakhurst's attempt to provide a picture of 'the kinds of beings we are' that is 'more realistic' than rationalism. I argue that there is much that is rich and compelling in Bakhurst's account. Yet I also question whether there are ways in which it could be taken further. I introduce the discussion by exploring Bakhurst's…

This paper presents a new theoretical viewpoint blended from the perspectives that mathematical meaning is extracted (from objects falling under a particular concept) and that mathematical meaning is given (to objects that an individual interacts with). It is elaborated that neither uni-directional framing (whether involving extracting meaning or…

Embedding environmental concepts in the minds of young students within a traditional classroom setting poses challenges due to the abstract nature of these concepts and the temporal dilemma associated with environmental change, as students are unable to observe the immediate consequences of their actions directly. To address this, innovative…

This study examines how students' conceptual and procedural knowledge of chemical equilibrium is affected by technology-supported formative assessment (TSFA) strategies. This study's embedded/nested mixed method research design was used to achieve the study's objective. A random sampling method was used to choose the sample of two intact classes…

In the evolving landscape of higher education, challenges such as the COVID-19 pandemic have underscored the necessity for innovative teaching methodologies. These challenges have catalyzed the integration of technology into education, particularly in blended learning environments, to bolster self-regulated learning (SRL) and higher-order thinking…

In this study, the evaluation of mathematical proficiency (MP) in one NSW Year 12 standardised exam paper was investigated. By considering the multi-strand model of MP, a literature-based criteria for scoring the assessment of MP in individual exam questions was first developed. The criteria were then applied to quantitatively evaluate the 2023…

This study explored online mentoring dialogues of first-year science teachers (FYSTs) to construct a model that was informed by metaphors in teaching dilemmas. Nine teachers' yearlong threaded dialogues were archived and first analyzed by Windschitl's (2002) four dilemma categories, and later by Lakoff and Johnson's (2003) conceptual metaphor…