The aim of this paper is to review some studies conducted with different learning areas in which the schemes of different participants emerge. Also it is about to show how mathematical proofs are handled in these studies by considering Harel and Sowder's classification of proof schemes with specific examples. As a result, it was seen that the…

Purpose: Does the rising share of Latino students in US schools help to integrate previously White campuses or exacerbate racial and economic segregation over time? This article details trends in the segregation of Latino children enrolled in elementary schools, 2000-2015, then examines how evolving patterns differ among the nation's school…

Elementary-age students with Individualized Education Programs (IEPs) tend to experience more challenges and demonstrate lower homework completion as compared with peers without IEPs. Parent involvement in homework can significantly improve a child's homework achievement, but little research has examined the factors associated with higher levels…

Examining the sequential patterns of self-regulated learning (SRL) behaviors is gaining popularity to understand students' performance differences. However, few studies have looked at the transition probabilities among different SRL behaviors. Moreover, there is a lack of research investigating the temporal structures of students' SRL behaviors…

Computer science is a dynamic field of study that requires constant review and updating of the curricular designs in academic programs--in general, measuring the impact of plan changes has been little explored in the literature. In most cases, it focuses only on structuring its curricula, leaving aside several factors associated with important…

BASIE is a framework for interpreting impact estimates from evaluations. It is an alternative to null hypothesis significance testing. This guide walks researchers through the key steps of applying BASIE, including selecting prior evidence, reporting impact estimates, interpreting impact estimates, and conducting sensitivity analyses. The guide…

A strong foundation in early number concepts is crucial for students' future success in statistics. Despite its importance in statistics, many first-year students struggle to comprehend the normal distribution due to a lack of basic number sense. Students get confused about the order and magnitude of negative z-scores on a standard normal curve or…

Background: Developmental education (i.e., remedial education) has come under scrutiny given evidence that it is ineffective for learning or hinders students' progress toward degree completion (Scott-Clayton & Rodriguez, 2014; Xu & Dadgar, 2018). However, there is heterogeneity in the effect of developmental education, with positive…

Academic scholars face a difficult challenge when attempting to grasp the intricate world of mathematics. The complexity of mathematical concepts often lies hidden beneath layers of formulas and procedures, obscuring their true essence. Traditional educational resources often fall short in conveying the profound meaning behind these concepts,…

The purpose of this research is to construct a preliminary genetic decomposition delineating the mental constructions underlying probabilistic independence. This delineation is considered within the framework of APOS theory. While the use of the term independence in probability is often conflated with causation, the definition relies instead upon…

Learning introductory quantum physics is challenging, in part due to the different paradigms in classical mechanics and quantum physics. Classical mechanics is deterministic in that the equations of motion and the initial conditions fully determine a particle's trajectory. Quantum physics is an inherently probabilistic theory in that only…

Respondent-driven sampling (RDS), a link-tracing sampling and inference method for studying hard-to-reach populations, has been shown to produce asymptotically unbiased population estimates when its assumptions are satisfied. However, some of the assumptions are prohibitively difficult to reach in the field, and the violation of a crucial…

Hinterecker, Knauff, and Johnson-Laird (2016) compared the adequacy of the probabilistic new paradigm in reasoning with the recent revision of mental models theory (MMT) for explaining a novel class of inferences containing the modal term "possibly." For example, "the door is closed or the window is open or both," therefore,…

Teacher intervention is an important factor in stopping bullying. Several studies indicate that teachers who believe they are capable of stopping bullying intervene more often in bullying. But this finding has only been based on hypothetical situations. It remains unclear if these results can be replicated in bullying interventions that the…

A word's predictability, as measured by its cloze probability, has a robust influence on the time a reader's eyes spend on the word, with more predictable words receiving shorter fixations. However, several previous studies using the boundary paradigm have found no apparent effect of predictability on early reading time measures when the reader…