When to introduce negative integers to children is an important issue in school mathematics; delaying their introduction can lead to lasting misconceptions such as one cannot subtract a larger whole number from a smaller. Yet understanding negatives involves a complex extension of whole-number knowledge. It is not known whether this extension is…

This study examines whether and how an adaptive equity-oriented pedagogy can address diverse college students' needs and preferred modes of learning. Using a mixed-methods approach, we evaluated this pedagogical intervention that synthesizes democratic, assessment-driven, strengths-based, multimodal, and game-based instructional strategies. This…

We examine how extended engagement in argumentation with peers leads to enhanced metalevel understanding of argumentive discourse. Following such engagement, young adolescents demonstrated enhanced understanding of counterargument and use of evidence as objectives of skilled argumentation, relative to a nonparticipating comparison group. Among the…