The mathematics curricula of Australia (ACARA, 2019), Scotland, England and America all require an understanding of proof by contradiction. Specifically, proof by contradiction is included as a Geometry topic in Specialist Mathematics (Version 8.4). In Specialist Mathematics, it is expected that students construct proofs in a variety of contexts…

When constructing measurement scales, regular and reversed items are often used (e.g., "I am satisfied with my job"/"I am not satisfied with my job"). Some methodologists recommend excluding reversed items because they are more difficult to understand and therefore engender a second, artificial factor distinct from the…

While numerical bipolar rating scales may evoke positivity bias, little is known about the corresponding bias in verbal bipolar rating scales. The choice of verbalization of the middle category may lead to response bias, particularly if it is not in line with the scale polarity. Unipolar and bipolar seven-category rating scales in which the…

Although critical thinking has been widely accepted as an educational goal for decades, clear evidence for the development of students' critical thinking is sparse. Critical thinking has been conceptualised as skill, knowledge, and disposition respectively in psychology, philosophy and critical theory, but which applies to education is unclear. In…

The argument-based approach is the current framework for validity and validation. One of the criticisms is that understanding and applying this approach to practice are complicated and require abstract thinking. Teachers or school administrators in teaching and learning need support in their validation practice. Due to the abstract structure of…

In order to learn more about student understanding of the structure of proofs, we generated a novel genre of tasks called "Proof Without Claim" (PWC). Our work can be viewed as an extension of Selden and Selden's (1995) construct of "proof framework"; while Selden and Selden discuss how the structure of a proof can be discerned…

Proof validation plays a significant role in students' understanding and learning of mathematical proofs. Recent studies have shown that university students were lacking skills in proof validation and were challenged by the implementation of the appropriate acceptance criteria when validating proofs. Drawing on Habermas' construct and rational…

Tychonov's 1935 solution of the heat equation, exhibiting nontrivial heat fluxes spontaneously appearing along an isolated conducting rod initially held at zero degrees, has intrigued some specialists for almost a century. No doubt those practicing heat engineers who took mathematics seriously were initially relieved to learn that the construction…

PWW style are presented. The difference of evidence is based on various additional auxiliary constructions, which in itself is a "mathematical art" that the student can master as a result of much practice. The PWW are accompanied by GeoGebra applets containing HINT buttons that allow the student to get step-by-step help in completing the…

This study examined the predictive validity of musculoskeletal fitness tests for identifying sarcopenia in youth. The sample was 529 participants age 10 to 18 years. Indices included: total lean body mass (LBM) normalized for height (LBM index, LBMI, kg/m2), appendicular LBMI (aLBMI, kg/m[superscript 2]), and LBM to fat body mass (FBM) ratio…

The Autism Classification System of Functioning: Social Communication (ACSF) describes social communication functioning levels. First developed for preschoolers with ASD, this study tests an expanded age range (2-to-18 years). The ACFS rates the child's typical and best (i.e., capacity) performance. Qualitative methods tested parent and clinician…

This paper seeks to develop and validate the parental behavior scale by applying the theory of social constructivism. The study explores the main components of this parental behavior scale and verifies the validity of the scale. The relationship between the developed scale and related variables are also analyzed. A preliminary survey was conducted…

The Remote Associates Test (RAT; Mednick, 1962; Mednick & Mednick, 1967) is a commonly employed test of creative convergent thinking. The RAT is scored with a dichotomous scoring, scoring correct answers as 1 and all other answers as 0. Based on recent research into the information processing underlying RAT performance, we argued that the…

The purpose of this article is to develop a context-bound scale on student alienation around core problems experienced by students at the university level. The confirmed dimensions of the scale shall be correlated with the dimensions of the student's ICT motive scale. The study is based on two sets of cross-sectional samples of Kashmiri university…

Clearinghouses are influential repositories of information on the effectiveness of social interventions. To identify which interventions are "evidence-based," clearinghouses review intervention evaluations using published standards of evidence that focus primarily on internal validity and causal inferences. Open science practices can…