This work is a segment of an ongoing doctoral research in Brazil. The Leonardo numbers and the Leonardo sequence have gained attention from mathematicians and the academic community. Despite being a relatively new sequence within mathematical literature, its discussion has intensified over the past five years, giving rise to other branches, with…

This study presents a novel approach contributing to our understanding of the design, development, and implementation AI-based systems for conducting double-blind online randomized controlled trials (RCTs) for higher education research. The process of the entire interaction with the participants (n = 1193) and their allocation to test and control…

Recommendations for achieving generalized instructional outcomes often overlook the capacity for generative learning. We sought to demonstrate how decontextualized and logically organized instruction would lead to derived and contextually appropriate recombinative generalization and arbitrarily applicable relational responding (AARRing) in…

Ramscar, Yarlett, Dye, Denny, and Thorpe (2010) showed how, consistent with the predictions of error-driven learning models, the order in which stimuli are presented in training can affect category learning. Specifically, learners exposed to artificial language input where objects preceded their labels learned the discriminating features of…

This article presents the consensus of an National Council on Measurement in Education Presidential Task Force on Foundational Competencies in Educational Measurement. Foundational competencies are those that support future development of additional professional and disciplinary competencies. The authors develop a framework for foundational…

Gestures--hand movements that accompany speech and express ideas--can help children learn how to solve problems, flexibly generalize learning to novel problem-solving contexts, and retain what they have learned. But does it matter who is doing the gesturing? We know that producing gesture leads to better comprehension of a message than watching…

Children achieve better long-term language outcomes than adults. However, it remains unclear whether children actually learn language "more quickly" than adults during real-time exposure to input--indicative of true superior language learning abilities--or whether this advantage stems from other factors. To examine this issue, we…

Most social scientists agree that case studies are useful for "theory building," but ethnographic methods papers often look to survey research for case selection strategies. This is due to a common but untenable distinction between theoretical and empirical generalization, which obscures how theoretically inclined ethnographers make…

The purpose of this study is to further our understanding of orchestrating math-talk with digital technology. The technology used is common in Swedish mathematics classrooms and involves personal computers, a projector directed towards a whiteboard at the front of the class and software programs for facilitating communication and collective…

Deciding what items to restudy is an important aspect of self-regulated learning. Previous research (Robey et al. "Psychological Science," 28(11), 1683-1693, 2017) reports that having learners make different types of metacognitive judgments affects restudy decisions. More specifically, when learners made retrospective confidence…

Background: Research reproducibility and effect replication has become a topic of major concern throughout the social sciences. During the last decade, low replication rates of published research findings became a major issue across disciplines in the social and behavioral sciences, leading to the public proclamation of a "replication…

Purpose: This study compared the occurrence of different types of generalization (within-class, across-class, and total generalization) following motor-phonetic speech therapy and linguistic-phonological speech therapy in children with a cleft palate ± cleft lip (CP ± L). Method: Thirteen children with a CP ± L (M[subscript age] = 7.50 years) who…

Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected…

This paper walks the reader through a simple mathematical characterization of the popular children's game, "Chutes and Ladders," focusing primarily on Monte Carlo simulation. The focus is then shifted to the board game "No Te Enojes" in order to analyze the implications of the introduction of strategy. The presence of strategy…

The purpose of this study is to investigate the quality of class talk during episodes corresponding to different levels of generalization. A total of 10 sessions in two classrooms in grade 7 were videotaped. A mixed approach was adopted to analyze the videotaped sessions. The findings show that triadic dialog was the dominant mode of interaction…