This paper uses a selected case study to show how the theoretical topos of formal stage theory of Herbartian provenance, which originated in the German-speaking world, underwent an adaptation and semantic shift in U.S. discourse around 1900. The findings presented here relate to the interpretation of the human cognitive process and the subsequent…

This manuscript focuses on how students make sense of proofs. Participants were students who engaged in peer-review conferences of each other's attempted proofs in a graduate-level real analysis course for mathematics teachers. Building on the concept of distance from conversational analysis, we distinguish how three types of distance (epistemic,…

This paper explores student emotion and learning experiences fostered by lecturing-style instruction in Real-Analysis problem-centered lessons. We focus on two lessons that were taught by two reputable instructors and involved challenging, mathematically-related problems the students did not understand. Nonetheless, one lesson evoked negative…

This study investigated the cognitive and social processes through which high school students acquire the differential concepts through communication in a dynamic geometry environment through some cases. Additionally, we observed how a dynamic geometry environment affects these processes. To achieve this objective, eight students were recruited by…

One of the central challenges educators face today, especially in higher education, is the gap between warranted (domain-specific) knowledge and the prior beliefs students hold about certain concepts and phenomena (preconceptions). In the Internet age, students often self-directedly acquire knowledge from an increasingly large number of…

This three-paper dissertation was conducted to explore how motivation and engagement, in addition to cognitive aspects, should be considered in disciplinary literacy instruction and assessment in high school classrooms. The studies, which were based on a five-year collaborative school-university partnership, were conducted to explore the relation…

The study reported in this article examined the impact of task type on the ways in which learners resolve grammatical language-related episodes (LREs) and whether the level of engagement affects subsequent language development. Data were collected over a six-week period. Thirty-two Iranian second language (L2) learners were paired up to complete a…

A number of approaches and methods are being used to assess higher cognition within online threaded discussions, as evidenced by the corpus of scholarship. However, a review of the literature suggests that current strategies relating to asynchronous discourse have tended to focus on cognitive processes that are mostly driven by task-oriented…

"Focus on form" (FonF) is a central construct in task-based language teaching. The term was first introduced by Michael Long to refer to an approach where learners' attention is attracted to linguistic forms as they engage in the performance of tasks. It contrasts with a structure-based approach--"focus on forms" (FonFs)--where…

As compositionists have constructed a critical discourse on whiteness, they have tacitly theorized how students' bodies can stifle efforts to both reflect on unfamiliar beliefs and critique their own beliefs. While Composition's latent theories of "embodied censorship" challenge the notion that rationality or empathy can enable…

The article investigates a system of academic education called tutoring implemented in a blended format. It looks at this teaching and learning experience based on the results of a student satisfaction survey (N = 9) as well as the analysis of the discourse between the tutor and six tutees recorded during four meetings: two traditional and two…

In this article, we introduce Sfard's discursive framework and use it to investigate prospective teachers' geometric discourse in the context of quadrilaterals. In particular, we focus on describing and analysing two participants' use of mathematical words and substantiation routines related to parallelograms and their properties at van Hiele…

An emerging trend toward computer-mediated collaborative learning environments promotes lively exchanges between learners in order to facilitate learning. Discourse can play an important role in enhancing epistemology, pedagogy, and assessments in these environments. In this paper, we highlight some of our recent work showing the advantages using…

The goals of this dissertation were to examine how novice calculus teachers used questions in their classrooms, how those questions and their use might change after video case-based course coordination, and what evidence of influence on student learning might be seen in undergraduate student achievement. This research focused on one way to elicit…

This article reviews research on the effects of conversational style on learning. Studies of conversational style have variously investigated "personalization" through changing instances of first-person address to second or third person, including sentences that directly address the learner; including more polite forms of address; and…