Recently, Gauthier introduced a method to construct solutions to the equations of motion associated with oscillating systems into the mathematics education research literature. In particular, Gauthier's approach involved certain manipulations of the differential equations; and drew on the theory of complex variables.Motivated by the work of…

This paper compares Revised Bloom's Taxonomy (RBT) and some of the major theories and frameworks that influence the teaching, learning, and assessment of mathematics. This comparison has been made to help students and researchers make decisions about which of the available theories and frameworks might best suit their study. The comparison…

Suggests six characteristics of mathematical play. Analyzes the problem-solving process for the Six Circles and observations of students solving calculator and integration problems in relation to theories of play and cognitive gain. Discusses some difficulties of implementing a 'play' approach in the classroom and proposes further research…

The cognitive method, an algorithmic method for transforming verbal word problems into equations, equation systems, inequalities, etc., is presented and discussed. The psychological and mathematical aspects of the cognitive method are also reviewed. (MP)

A sample of 266 eleventh-grade students were used in this research project. The findings imply that particular emphasis should be placed on practice in formula derivation. Other activities related to verbal computational problem-solving ability should be reserved for home assignment. (MP)

The use of mathematical modelling as a systematic framework for solving word problems is presented. Applications for typical elementary algebra and calculus problems are featured. (MP)

The author shows how the teaching of mathematics may be adapted so that it is "humanized." It is asserted that the standard mathematics program "...appeals to the intellect, but attaches no value to other human qualities such as emotions and ethical character." (MP)

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)

Develops and validates an instrument for determining student preferences for multiple representations of functions and establishes baseline data for future research. Students showed preferences for representations of functions which varied between contextualized and noncontextualized settings. Students' preferences for the two settings were more…