Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected…

This article aims to propose a digital version of Darwazeh's learning taxonomy. The DLT consists of 10 cognitive processes sequenced hierarchical from simple to complex either vertically from one mental process to another, or horizontally in each mental process. These cognitive processes are facts' remembrance, generalities' remembrance,…

This article examines whether geography can provide the powerful knowledge that is a key element of a Future 3 curriculum, and an important component of the GeoCapabilities Project's proposals for the teaching of geography. Powerful knowledge is knowledge that gives students the intellectual ability to analyse, explain, predict, evaluate and think…

Children's failure to reason often leads to their mathematical performance being shaped by spurious associations from problem input and overgeneralization of inapplicable procedures rather than by whether answers and procedures make sense. In particular, imbalanced distributions of problems, particularly in textbooks, lead children to create…

We present the results of a research project on arithmetic-algebraic thinking that was carried out jointly by a team in Mexico and another in Quebec. The project deals with the concepts of variable and covariation between variables in the sixth grade at the elementary level and the first, second, and third years of secondary school--namely,…

This article presents a checklist of 10 evidence-based practices for educators to apply in mathematics instruction for students with learning disabilities. The checklist is "actionable," meaning the items on the checklist can be put into action immediately. It provides practical strategies teachers can adopt to fit their lessons…

This paper presents protests from academically successful students who privately conveyed to the researchers their feelings of personal discontent with schools. The criterion to select this "sample" was that these students, dissatisfied with school but having good marks, would reveal what others, academically less successful, could not…

In abstraction, or conceptual behavior, people discriminate features or properties of their surroundings. This permits people to respond selectively and precisely to specialized features of their environment, which has had many benefits, including steady advances in science and technology. Within psychology, J. R. Kantor and B. F. Skinner…

Executive function mechanisms underpinning language-related effects on theory of mind understanding were examined in a sample of 165 preschoolers. Verbal labels were manipulated to identify relevant perspectives on an explicit false belief task. In Experiment 1 with 4-year-olds (N = 74), false belief reasoning was superior in the fully and…

This paper focuses on formative assessment in the field of higher education. It examines Bernstein's work on vertical discourses and knowledge structures with the view to deepening understanding of the concept of assessment "for" learning. The first part of the paper draws on Vygotsky's work on concept development and Bernstein's work on…

The basic assumption of this paper is that mathematics and history of mathematics are both forms of knowledge and, therefore, represent different ways of knowing. This was also the basic assumption of Fried (2001) who maintained that these ways of knowing imply different conceptual and methodological commitments, which, in turn, lead to a conflict…

The paper reviews limitations in social skills research with mentally retarded persons, noting problems in conceptual development, validation of social skills objectives, and generalization. The most serious limitation identified is the failure to demonstrate that community integration and adjustment can be enhanced through training. (CL)

This study assessed whether word processing can be taught conceptually so that students can decontextualize concepts from a specific program setting and thus achieve a greater level of learning and far transfer. The sample for this study consisted of 38 students at Central Wyoming College enrolled in word processing classes--two sections during…

The study examined the effectiveness of a program to improve the cognitive skills of 91 hearing impaired college students. Experimental students received systematic cognitive instruction focusing on specific generalizable skills during the experimental period, several times per week, in the contexts of their regular college classes. Instructors of…

Discussed are the recognition and the relevance, in terms of teacher/student awareness and subsequent effective teacher treatment techniques, of cognitive disequilibrium as experienced by the student, when such disequilibrium is provoked by mathematical contradictions and/or counterexamples, within the classroom paradigm of constructivism. (JJK)