In this note, some variants of Cauchy's mean value theorem are proved. The main tools to prove these results are some elementary auxiliary functions.

This article explores the contribution of Jürgen Habermas' discourse theory of morality, politics, and law to theorizing educational justice. First, it analyzes Christopher Martin's discourse-ethical argument that the development of citizens' discursive agency is required on epistemic grounds. The article criticizes this argument and claims that…

During recognition memory decisions, external hints or cues alter the accuracy and confidence of correct rejections (valid > uncued > invalid). In contrast, although hits show analogous accuracy effects, hit confidence remains largely unaffected by cue validity. Prior research suggested this confidence validity dissociation (CVD) may depend…

For 40 years there has been a call for improvement in assessing the academic potential of children and young people (CYP) with visual impairment. Anecdotal evidence regarding the use of psychometric assessments with CYP with visual impairment suggests that some professional practice has involved the use of assessments normed on a sighted…

Purpose: To assess changes in criterion validity when modifying cut-points for use in different epoch lengths. Method: Simulated free-living data came from 42 adolescents (2-hr each) and 29 adults (6-hr each) wearing a hip-worn accelerometer and portable indirect calorimeter (Cosmed K4b[superscript 2]). K4b[superscript 2] data were classified as…

Mathematics education researchers frequently use task-based interviews to gain insight into mathematicians' practice. However, there are a number of factors that should prevent mathematics educators from extrapolating how individual mathematicians respond to researcher-generated tasks in laboratory conditions, to how mathematicians practice their…

Teacher evaluation systems are associated with teacher quality, accountability, performance observations, and support. These systems are typically comprised of multiple measures including at least observations of teaching and student performance data reflecting teacher impact. Many criticisms of these systems have emerged not necessarily from the…

Purpose: In a companion paper, we found no statistical reason to favor percentage syllables stuttered (%SS) over parent-reported stuttering severity as a primary outcome measure for clinical trials of early stuttering. Hence, considering the logistical advantages of the latter measure, we recommended parent-reported stuttering severity for use as…

The construct validity of the International Cognitive Ability Resource (ICAR) has yet to be investigated using a gold-standard individually administered intelligence battery. The present study used a convenience sample of 97 students to examine the respective relations between the ICAR16 and overall intelligence (g) and the Cattell-Horn-Carroll…

Publication bias threatens meta-analysis validity. It is often assessed via the funnel plot; an asymmetric plot implies small-study effects, and publication bias is one cause of the asymmetry. Egger's regression test is a widely used tool to quantitatively assess such asymmetry. It examines the association between the observed effect sizes and…

Alternate assessments based on alternate achievement standards (AA-AAS) have historically lacked broad validity evidence and an overall evaluation of the extent to which evidence supports intended uses of results. An expanding body of validation literature, the funding of two AA-AAS consortia, and advances in computer-based assessment have…

Justifying and generalizing are essential forms of mathematical reasoning, yet, teachers struggle both to produce and identify justifications and generalizations. In comparing elementary school teachers' self-reported levels of noticing justifying and generalizing in their own classrooms and the levels researchers observed in two consecutive…

Higher relative adiposity is independently associated with adverse health consequences. As such, accurate estimates of body composition in field settings are of utmost importance. The aim of this study was to examine the validity of the Body Adiposity Index (BAI) and Relative Fat Mass (RFM) as measures of total body adiposity. BAI and RFM were…

Purpose: The purpose of this study was to evaluate the reliability and validity of the Kannada version of the Consensus Auditory-Perceptual Evaluation of Voice (CAPE-V). Method: The Kannada version of CAPE-V comprises six phrases that are phonetically designed as per the CAPE-V requirements. Sixty-five (21 individuals with dysphonia and 44…

This is the final in a series of three articles about academic fraud. The first, "Diploma Mills and Counterfeit Operations, Part 1" [see EJ1225180] provided background into the centuries-old fraud of selling diplomas and transcripts from fake schools and counterfeit documents in the name of legitimate schools. The second article provided…