Problem solving and proofs have always played a major role in mathematics. They are, in fact, the heart and soul of the discipline. The using of a number of different proof techniques for one specific problem can display the beauty, and elegance of mathematics. In this paper, we present one specific, interesting geometry problem, and present four…

This work is devoted to exploring proof abilities in Graph Theory of undergraduate students of the Degree in Computer Engineering and Technology of the University of Seville. To do this, we have designed a questionnaire consisting of five open-ended items that serve as instrument to collect data concerning their proof skills when dealing with…

Background: For decades, education researchers have relied on the work of Campbell, Cook, and Shadish to help guide their thinking about valid impact estimates in the social sciences (Campbell & Stanley, 1963; Shadish et al., 2002). The foundation of this work is the "validity typology" and its associated "threats to…

Background: To examine levels of reading self-efficacy in college students and further understand sources that foster reading self-efficacy at the postsecondary level, there is a need for a valid scale that can be used for college student populations. Methods: In Phase 1, 160 items were generated and reviewed by a panel of experts and a group of…

Introduction: Research suggests that one of the most pervasive consequences of traumatic events is the resulting dysregulation of emotions. Educators, including teachers, administrators, and student services staff, are instrumental in supporting students as they navigate overwhelming emotions by modeling and teaching skills to regulate emotional…

In this article, we argue that automated scoring engines should be transparent and construct relevant--that is, as much as is currently feasible. Many current automated scoring engines cannot achieve high degrees of scoring accuracy without allowing in some features that may not be easily explained and understood and may not be obviously and…

A critical issue in using fine-grained gameplay data to measure learning processes is the development of indicators and the algorithms used to derive such indicators. Successful development--that is, developing traceable, interpretable, and sensitive-to-learning indicators--requires understanding the underlying theory, how the theory is…

One of the central components of cognitive diagnostic assessment is the Q-matrix, which is an essential loading indicator matrix and is typically constructed by subject matter experts. Nonetheless, to a large extent, the construction of Q-matrix remains a subjective process and might lead to misspecifications. Many researchers have recognized the…

Measurement invariance (MI) is an essential part of validity evidence concerned with ensuring that tests function similarly across groups, contexts, and time. Most evaluations of MI involve multigroup confirmatory factor analyses (MGCFA) that assume simple structure. However, recent research has shown that constraining non-target indicators to…

In this cross-national study, we explore the different ways of reasoning-and-proving (RP) presented in three 8th grade textbooks, one from each country: Turkey, Norway, and Slovakia. While the analysis revealed that all three textbooks contain similar numbers of problems involving some form of RP, differences exist in terms of the dominating ways…

Students' difficulties with proofs are well documented. To remedy this, it is often recommended that reasoning and proving be focused on in all grades and content areas of school mathematics. However, proofs continue to have a marginal place in many classrooms, or are only given explicit attention in courses in Euclidean geometry. Geometry is also…

Since 2018, institutions of higher education have been aware of the "enrollment cliff" which refers to expected declines in future enrollment. This paper attempts to describe how prepared institutions in Ohio are for this future by looking at trends leading up to the anticipated decline. Using IPEDS data from 2012-2022, we analyze trends…

Purpose: Given the scientific and practical difficulties inherent in measuring and comparing socioeconomic deprivation (SED), and the further complexity added in cross national measurements, the main aim of this paper was to check the validity of SED measures used in PISA 2018 dataset. The SED measure used in PISA 2018 was the PISA index of…

The social validity of autism behavioral intervention has been questioned. Naturalistic Developmental Behavioral Interventions (NDBIs) attempt to address some concerns, but it is unclear whether autistic people consider NDBIs socially valid. Social validity of an NDBI, Pivotal Response Treatment (PRT), was investigated through autistic adults…

To determine the effects of explicit instruction (EI) and potential moderators in second/foreign language (L2) teaching, this study meta-analyzed 28 primary reports (a total of 67 unique samples, N = 3754). The main results show that EI was significantly effective in facilitating L2 development, with effect sizes ranging from moderate to large…