We present types of constructs, individual- and cluster-level, and their confirmatory factor analytic validation models when data are from individuals nested within clusters. When a construct is theoretically individual level, spurious construct-irrelevant dependency in the data may appear to signal cluster-level dependency; in such cases,…

Paolo Ruffini (1765-1822) may be something of an unknown in high school mathematics; however his contributions to the world of mathematics are a rich source of inspiration. Ruffini's rule (often known as "synthetic division") is an efficient method of dividing a polynomial by a linear factor, with or without a remainder. The process can…

Impaired social cognition is one of the core characteristics of autism spectrum disorders (ASD). Appropriate measures of social cognition for high-functioning adolescents with ASD are, however, lacking. The Movie for the Assessment of Social Cognition (MASC) uses dynamic social stimuli, ensuring ecological validity, and has proven to be a…

Psychological testing can serve as a prototype on which to base a data-generated approach to instructional design. In "testing batteries" tests are used to predict achievement. In the proposed approach batteries of prescriptions would be used to produce achievement. In creating "test batteries" tests are selected for their…

The staircase and fractional part functions are basic examples of real functions. They can be applied in several parts of mathematics, such as analysis, number theory, formulas for primes, and so on; in computer programming, the floor and ceiling functions are provided by a significant number of programming languages--they have some basic uses in…

During this research study the "Self-Advocacy Assessment Tool for Preschool-Aged Children with Hearing Loss: Birth to Age 4" was developed, constructed, and evaluated. The study provides content, construct and internal consistency reliability and validity evidence. The Self-Advocacy Assessment Tool is the first tool specifically designed…

We have been incrementally adding data-driven methods into the Deep Thought logic tutor for the purpose of creating a fully data-driven intelligent tutoring system. Our previous research has shown that the addition of data-driven hints, worked examples, and problem assignment can improve student performance and retention in the tutor. In this…

This case study is based on a research project the first author conducted for his master's thesis under the guidance and supervision of the second author, his academic adviser. In this case study, we highlight some of the most important aspects of the project. Specifically, we explain how our research was prompted by the lack of empirical testing…

A significant amount of research effort has been put into finding variables that can identify students at risk based on activity records available in learning management systems (LMS). These variables often depend on the context, for example, the course structure, how the activities are assessed or whether the course is entirely online or a…

An important challenge in evaluating the quality of teaching is to arrive at valid distinctions between teachers, particularly in the middle of the performance distribution. This study addressed this issue for the Chilean national teacher evaluation system. Mathematics teachers (N = 51) from the 2 middle adjacent performance categories, and their…

The Stanford Educational Data Archive (SEDA) is the first data set to allow comparisons of district academic achievement and growth from Grades 3 to 8 across the United States, shining a light on the distribution of educational opportunities. This study describes a convergent validity analysis of the SEDA growth estimates in mathematics and…

The purpose of this study was to investigate (a) the validity and reliability of the inclusive Self-efficacy Instrument for Physical Education Teacher scale (SE-PETE-D), using a Lithuanian physical education (PE) teachers' sample, and (b) the impact of type of disability and personal attributes. The English version of the scale was translated into…

This paper describes a qualitative study that examined how preservice teachers engaged in a "Second Life" activity intended to help them reflect on how knowledge of human rights may affect their professional practice. This process utilized a problem-solving strategy to determine their goal-oriented character traits. Therefore, the…

This study develops two scales, namely, the outside school social media behavior (OSSMB) scale and inside school social media behavior (ISSMB) scale, to measure the types of behavior that adolescent students engage in on social media in two separate contexts: outside school and inside school. Data collected from 814 students in four Hong Kong…

Context-based learning (CBL) approaches have been recommended and expanded in science education to make science more relevant to students by connecting science content with students' daily life. Subsequently, in order to implement CBL at school, a group of scenarios has been produced by several stakeholders. However, there is a lack of resources…