The paper explores and clarifies the similarities and differences that exist between proof by contradiction and proof by contraposition. The paper also focuses on the concept of contradiction, and a general model for this method of proof is offered. The introduction of mathematical proof in the classroom remains a formidable challenge to students…

This study explores a new comprehensive framework for understanding elements of validity, specifically for performance assessments that are administered within specific and dynamic contexts. The adoption of edTPA is a good empirical case for examining the concept of consequential validity because this assessment has been implemented at the state…

Automated scoring of free drawings or images as responses has yet to be used in large-scale assessments of student achievement. In this study, we propose artificial neural networks to classify these types of graphical responses from a TIMSS 2019 item. We are comparing classification accuracy of convolutional and feed-forward approaches. Our…

The current study, guided by the cross-sectional survey method, assessed interface design quality, and its predictive ability on E-learners' post-adoption behavior in E-learning course environments. DeLone and McLean's Information Systems Success Model, Khan's E-learning Framework, and Bhattacherjee's Information System Continuance Model formed…

Thinking development processes among high-school students is an important and significant issue that has been widely investigated (Leviathan, 2012; Ball, 1996; De Risi, 2015). A few studies discuss the development of mathematical thinking as this field contains additional difficulties to the traditional factors, teachers, students, and parents,…

Research has shown that a profound place value understanding is crucial for success in learning mathematics. At the same time, a substantial number of students struggles with developing a sustainable place value understanding. In this regard, two aspects of the place value system appear especially relevant: First, the knowledge of the decimal…

Identity development frameworks provide insight into why and to what extent individuals engage in STEM-related activities. While studies of "STEM identity" often build off previously validated disciplinary and/or science identity frameworks, quantitative analyses of constructs that specifically measure STEM identity and its antecedents…

Teaching materials and content on UNP e-learning are already available and can be accessed by students, but case study-based teaching materials with digital content are not available. Teaching materials in the digital form need to be further developed, especially case study-based ebooks. This study was aimed to develop digital teaching materials…

We describe the summative assessment component within a K-12 assessment program and our development of a validity argument to support its claims with respect to intended uses and interpretations. First, we describe the "Winsight"® assessment program theory of action, a logic model elucidating mechanisms for how use of the assessment…

This article reviews the origins, conceptual bases, psychometric properties, and limitations of consumer satisfaction measures in social welfare and behavioral health. Based on a systematic review of research reports published between 2003 and 2013, we identify 58 consumer satisfaction measures. On average, these measures have acceptable…

Evidence shows that students who are actively engaged with learning materials demonstrate greater learning gains than those who are passively engaged. Indeed, cognitive engagement is often cited as a critical component of an educational experience. However, understanding how and in what ways cognitive engagement occurs remains a challenge for…

Few studies have used exploratory factor analysis (EFA) and exploratory bifactor factor analysis (EBFA) to define a baseline factor structure model checking the construct-relevant psychometric multidimensionality of student engagement. This study was conducted on a sample of 3,374 students in France, Wallonia-Brussels Federation, and Luxembourg by…

We present the results of a study of Chilean students' understanding of scientific models, using a Spanish-adapted version of the Students' Understanding of Models in Science instrument (Treagust, D. F., Chittleborough, G., & Mamiala, T. L. (2002). Students understanding of the role of scientific models in learning science. "International…

The study was conducted to analyze the items about the ability of high school students diagram representation and obtain Item Curve Characteristic. Grid test instruments are compiled based on competencies and indicators of diagram representation which are then used to compile items. The test instrument consisted of five items and was validated by…

Research on self-efficacy has provided evidence that it is a moderating factor that positively impacts students' choices to pursue and persist in engineering. Engineering graphics is seen as the preferred method of communication for the profession, yet to date no instrument is available that measures students' self-efficacy as it relates to…