![]() “accommodating” approach is discussed contrasting research evidence from some widely adopted learning design paradigms, such as the “learning styles” and “scripted collaboration.” Next, the focus turns on the conversational agent domain analyzing the design and learning impact of “MentorChat,” an agent-based system that implements a learner challenging strategy, based on the discourse framework of academically productive talk (APT), to support and trigger student dialogue in web-based collaborative learning settings. ![]() To justify this approach, the learner “challenging” vs. System interventions are expected to heighten students’ interest and direct their focus, thus resulting in productive cognitive activity and improved learning outcomes. Such a strategy is conceptualized as a didactical model that enables the system to initiate learner-oriented interventions aiming to generate new challenges as opportunities for further learning. This work introduces the concept of “smart challenging learning environments” (SCLEs), referring to SLEs that employ computational models of a “learner challenging” strategy. Smart learning environments (SLEs) are typically described as environments that offer rich learning interactions by making use of digital, context-aware, and adaptive technologies. Recently was added to GeoGebra powerful capabilities that transform this software a real Learning Mathematical Environment, using the GeoGebraBooks and GeoGebraGroups, plain of collaborative functionality between students and teachers. On the other hand, GeoGebra can create applications easily and export to HTML, and the possibility to quickly integrating these applets in several web platforms provides this DGS with an excellent way to create strong collaborative environments to teach and learn mathematics. Powerful algebraic capabilities have joined GeoGebra, an efficient spreadsheet that can deal with many kinds of objects, an algebraic and symbolic calculation system and several graphical views that expand the possibility of multidimensional representations, namely, by using colouring domain techniques, expanded to representations in the Riemann sphere, making this DGS a powerful research tool in mathematics. GeoGebra, a software system for dynamic geometry and algebra in the plane, since its inception in 2001, has gone from a dynamic geometry software (DGS), to a powerful computational tool in several areas of mathematics.
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