The aim of this paper is to present a teaching proposal for the theoretical part relating to the first- and second-order linear difference equations with constant coefficients suitable for the first-year students at various types of universities. In contradistinction to the methods often applied (memorization of algorithms without a proper…

This study reports on an analysis of students' textbook task-solving in Swedish upper secondary school. The relation between types of mathematical reasoning required, used, and the rate of correct task solutions were studied. Rote learning and superficial reasoning were common, and 80% of all attempted tasks were correctly solved using such…

A method of study which is inefficient but used by large numbers of students taking courses in mathematics is described. The wide relevance of the problem, for subjects other than mathematics, is also examined. (MP)

The aims of the article are: (1) to outline the general tenets of the "back to basics" movements; (2) to indicate how these tenets go counter to emerging research on hemispheric specialization; and (3) to suggest methods which are brain-compatible and likely to produce competent creative problem solvers. (Author/TG)