Some Historical Issues and Paradoxes Regarding the Concept of Infinity: An Apos-Based Analysis: Part 1

This paper applies APOS Theory to suggest a new explanation of how people might think about the concept of infinity. We propose cognitive explanations, and in some cases resolutions, of various dichotomies, paradoxes, and mathematical problems involving the concept of infinity. These explanations are expressed in terms of the mental mechanisms of interiorization and encapsulation. Our purpose for providing a cognitive perspective is that issues involving the infinite have been and continue to be a source of interest, of controversy, and of student difficulty. We provide a cognitive analysis of these issues as a contribution to the discussion. In this paper, Part 1, we focus on dichotomies and paradoxes and, in Part 2, we will discuss the notion of an infinite process and certain mathematical issues related to the concept of infinity.     

Assessment Issues on a Web-based Course

Web-based courses are becoming increasingly popular. The use of new technology raises issues relating to pedagogy, content and interaction. As these issues are addressed there needs to be a subsequent alteration in the type of assessment used on such courses and the associated procedures. This paper examines the assessment on a popular web-based course offered by the UK Open University. The assessment is web based and submitted electronically, with a student-created web site replacing the traditional exam. The paper examines student feedback and the lessons learnt from the presentation of this course. The broader issues web-based assessment raises for educators, students and universities are then discussed. These include the creation of a technical barrier in the assessment process, the degree to which technical skills are taught in any course, the tension between individuality and robustness in submissions and the detection of plagiarism.     

Stability of the adjustment scales for children and adolescents

Investigation of the short‐term (90‐day) stability of the Adjustment Scales for Children and Adolescents is reported for 124 randomly selected children in grades ranging from kindergarten to grade 12. Significant test‐retest stability coefficients were obtained and mean differences across the retest interval did not exceed .8 raw score points. The Solitary Aggressive‐Impulsive, Diffident, and Lethargic/Hypoactive syndromes and the global Underactivity scale showed significant raw score and T score changes across the retest interval, but the effect strengths were small. Syndromic Profile Classifications and Discriminant Classifications were also significantly consistent across the retest interval. Results were similar to those obtained in other stability studies of teacher report behavior rating scales. © 2001 John Wiley & Sons, Inc.