One of the subjects that constitute a problem for adult students of mathematics is the understanding of fractions and proportions. These notions are interrelated with proportional reasoning which was the focal point of our study. Using a mixed methods approach, we tried to assess the proportional reasoning of adult students during problem solving.…

In previous publications the authors of this paper identified specific relations between comprehension and convincement. On the basis of Grounded Theory, this research analyzes the changes that arise in said relations as a response to changing conditions. For their study, the authors analyze an interaction, at a distance, between a tutor and a…

An historical case is presented in which extra-mathematical certainties lead to invalid mathematics reasonings, and this is compared to a similar case that arose in the area of virtual education. A theoretical-methodological instrument is proposed for analysis of certainties. The article suggests the need for teachers to be aware that certainties…

Many studies point to the problem of poor mathematics content knowledge of mathematics teachers in South Africa. The purpose of this study was to investigate teachers' knowledge of the mathematics they are themselves teaching. Data was generated from the teachers' (n = 253) written responses to test that was a shortened form of a previous Grade 12…

Good evaluation requires that evaluation efforts themselves be evaluated. Many things can and often do go wrong in evaluation work. Accordingly, it is necessary to check evaluations for problems such as bias, technical error, administrative difficulties, and misuse. Such checks are needed both to improve ongoing evaluation activities and to assess…

The professional expertise of educational leaders has been defined through the lens of problem-solving processes. Problem-based learning has therefore become an increasingly popular instructional approach in principal preparatory programs. As such, this study represents an initial attempt to explore learning from success (i.e., success-based…

This collection of 58 articles from the recently-published third edition of the International Encyclopedia of Education focuses on learning, memory, attention, problem solving, concept formation, and language. Learning and cognition is the foundation of cognitive psychology and encompasses many topics including attention, memory, categorization,…

This article contributes to the study of decision-making processes both at a farm systems level and at the level of agricultural research in partnership with commercial farms. It also highlights the way in which adoption and adaptation of innovation occurs in a socially rich context with information, group formation and connectivity converging to…

Mental-content verbs such as "think," "believe," "imagine" and "hope" seem to pose special problems for the young language learner. One possible explanation for these difficulties is that the concepts that these verbs express are hard to grasp and therefore their acquisition must await relevant conceptual development. According to a different,…

The relationship between quantitative problem solving and commonsense has provided the basis for an expanding exploration for Colleran and O'Donoghue. For example the authors (Colleran et al., 2002, 2001) discovered the pivotal role commonsense plays in adult quantitative problem solving and suggest commonsense is an important "resource? in…

Purpose: The purpose of this research is to study the influence of five critical factors on service quality in the insurance sector. Having studied the influence of these critical factors, an attempt has been made to obtain a generic solution to enhance the quality of service by proposing a holistic framework of learning organization. As…

Innovation and enterprise depend for their success on the development of new ideas. But from where do new ideas come? How do they arise? Finding solutions to such questions is at the heart of creativity research and the solving of novel problems. Reflection, not only in cognitive processes but also in the non-cognitive ones used in solving novel…

In this article knowledge productivity, a process that creates conceptual artifacts, is used as a way to investigate the outcomes of collaborative and enquiry-oriented activity by teaching professionals. It is an outcome of the motivation to learn (self-regulation) in that it studies the issues from different professional perspectives (reflection…