In this paper, we propose a potential interactional explanation of tertiary-to-secondary (dis)continuity: that of authority relations. Using secondary mathematics teachers' proof validations across two contexts, we suggest that secondary teachers' conceptions of authority shape their capacity to reconcile their positions as former mathematics…

The "Collaborative Knowledge Practices Questionnaire" (CKP) is an instrument designed to measure the learning of knowledge-work competence in education. The focus is on qualities of knowledge work which can be learned and taught in multiple educational settings and which may be especially important for courses with collaborative…

The literature and the employee and workforce surveys rank collaborative problem solving (CPS) among the top 5 most critical skills necessary for success in college and the workforce. This paper provides a review of the literature on CPS and related terms, including a discussion of their definitions, importance to higher education and workforce…

The term 'large group process' (LGP) refers to a range of participatory approaches to community engagement, geared towards exploring and/or identifying solutions to shared issues and problems, and planning change. Primarily used for applied purposes, they can be also used as a method of inductive inquiry in social research, particularly within…

Use of service-learning is burgeoning among higher education institutions in Hong Kong and expanding in Asia. The positive student outcomes that have been reported in Western society, however, are not as widely recognized in Asian society. Asian institutions of higher education need a standardized measurement of outcomes that will help refine the…

The discrete Fourier series is a valuable tool developed and used by mathematicians and engineers alike. One of the most prominent applications is signal processing. Usually, it is important that the signals be transmitted fast, for example, when transmitting images over large distances such as between the moon and the earth or when generating…

Digital information literacy (DIL)--generally defined as the ability to obtain, understand, evaluate, and use information in a variety of digital technology contexts--is a critically important skill deemed necessary for success in higher education as well as in the global networked economy. To determine whether college graduates possess the…

This article gives an elementary proof of the famous identity [image omitted]. Using nothing more than freshman calculus, the present proof is far simpler than many existing ones. This result also leads directly to Euler's and Neville's identities, as well as the identity [image omitted].

Quantitative literacy has been recognized as an important skill in the higher education and workforce communities, focusing on problem solving, reasoning, and real-world application. As a result, there is a need by various stakeholders in higher education and workforce communities to evaluate whether college students receive sufficient training on…

These proceedings contain the papers of the 18th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2021), held virtually, due to an exceptional situation caused by the COVID-19 pandemic, from October 13-15, 2021, and organized by the International Association for Development of the Information Society…

These proceedings contain the papers of the 16th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2019), held during November 7-9, 2019, which has been organized by the International Association for Development of the Information Society (IADIS) and co-organised by University Degli Studi di Cagliari, Italy.…

It is shown that the Watson-Glaser Critical Thinking Appraisal (WGCTA) significantly predicted standing in a specialized course at the college level, lending credence to its criterion-related validity. The paper is based on a study of accelerated students pursuing a combined baccalaureate and professional program of medicine. (CE)

Empirical validity of nonoverlapping scores of original problem solving on a lenient solution-standard predictor was evidenced in college students by high correlations with corresponding scores on stringent solution-standard criterion tasks. Findings support the construct validity of conceptualizations of original problem solving based on…

This paper describes the testing and refinement of an instrument for identifying and measuring Problem Formulation and Resolution (PFR) in online asynchronous discussions (OADs). The instrument was used to analyse a transcript of an OAD designed specifically for PFR with 30 participants in an undergraduate course for teachers in training. Results…

Preliminary psychometric data assessing the reliability and validity of a method used to measure the diagnostic reasoning and problem-solving skills of predoctoral students in orthodontia are described. The measurement approach consisted of sets of patient demographic data and dental photos and x-rays, accompanied by a set of 33 multiple-choice…