A framework for evaluation and use of automated scoring of constructed-response tasks is provided that entails both evaluation of automated scoring as well as guidelines for implementation and maintenance in the context of constantly evolving technologies. Consideration of validity issues and challenges associated with automated scoring are…

In this capsule we give an elementary proof of the principal axis theorem within the real field, i.e., without using complex numbers.

This study aimed to examine the effectiveness of a translated version of the short version of the Developmental, Dimensional and Diagnostic Interview (3Di) in discriminating children with autism spectrum disorders (ASDs) from typically developing children. Two groups, comprising 63 children with clinically ascertained ASDs and 67 typically…

Methods of teaching the Calculus are presented in honour of Sir Isaac Newton, by discussing an extension of his original proofs and discoveries. The methods, requested by Newton to be used that reflect the historical sequence of the discovered Fundamental Theorems, allow first-time students to grasp quickly the basics of the Calculus from its…

This systematic review evaluates the validity, reliability, and clinical utility of outcome measures used to assess self-care skills among children with congenital musculoskeletal conditions and assesses the applicability of these measures for children with osteochondrodysplasia aged 0-12 years. Electronic databases were searched to identify…

This study evaluated the feasibility of measuring steady-state oxygen uptake (V[Combining Dot Above]O[subscript 2]) during the 6-min walk test (6MWT) in adults with cerebral palsy (CP) who walk without support and whether there is construct validity for net 6MWT V[Combining Dot Above]O[subscript 2] as a measure of their walking ability.…

This paper presents and discusses the statistical analysis of the responses from an online survey administered to a sample of US superintendents (n=225) in an attempt to explore and authenticate the construct validity of the ISLLC 2008 Standards through exploratory factor analysis. Using a Principal Axis Factor method, 6 factors were extracted…

In this commentary, the author focuses on the use of design elements for increasing the severity of causal mediation tests. The estimation of causal mediation effects from observational data rests on rather stringent assumptions. In introducing and exemplifying ratio-of-mediator-probability weighting (RMPW), Hong and Nomi (henceforth HN) make…

A visual proof that the sine is subadditive on [0, pi].

This article shows a generalization of Galileo's "passe-dix" game. The game was born following one of Galileo's [G. Galileo, "Sopra le Scoperte dei Dadi" (Galileo, Opere, Firenze, Barbera, Vol. 8). Translated by E.H. Thorne, 1898, pp. 591-594] explanations on a paradox that occurred in the experiment of tossing three fair "six-sided" dice.…

Policy documents and researchers agree that proofs and proving should become common mathematical practice in school mathematics. Towards this end, teachers are encouraged to implement proving activities in their classrooms. This article suggests a tool that may help teachers to integrate proofs and proving in their practice--the six-cell matrix.…

In this qualitative study, we explored how oral interviews can inform instructors about students' understanding of abstract algebra and their ability to construct a proof in this setting. Our findings indicate that some students had a good understanding of the ideas needed for a subgroup proof, but could not write a coherent proof. On the other…

In the present study, the Career Adapt-Abilities Scale (CAAS)--which aims to measure concern, control, curiosity, and confidence as psychosocial resources for managing occupational transitions, developmental tasks, and work traumas--was translated into Turkish in order to examine the factor structure and psychometric characteristics of the scale…

Three studies were combined to test the reliability, validity, and factor structure of the imaginative capability scale (ICS). The ICS was a new self-report measure, which was developed to be empirically valid and easy to administer. Study 1 consisted in an exploratory factor analysis to determine the most appropriate structure of the ICS in a…

This paper focuses on the development and evaluation of a Technology Enhanced Interaction Framework and Method that can help with designing accessible mobile learning interactions involving disabled people. This new framework and method were developed to help design technological support for communication and interactions between people,…