This paper describes a new digital technology to support emotional self-awareness and empathy, called G.I.R.L.S (Girls Involved in Real Life Sharing). The system invited users to reflect actively upon and interact with a dialogue about how the story made them feel through the construction of pictorial narratives. In a pilot study with teenage…

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

Brief stories about mathematicians Picard and Einstein are shared by George Polya. (SD)

This article begins with a comparison of two groups of teachers, working on the same tasks in Analytic Geometry. One group has only basic experience in CAS-assisted problem solving, and the other group has extensive experience. The comparison is discussed in terms of the interplay between reflection, operative knowledge and execution. The findings…

Reflective practice is an important vehicle for the apprenticeship of tacit and procedure-oriented knowledge. This article explores the development of reflective practice in the teaching of an innovative design course. Starting from a characterization of the "materials of a design situation" (problem-solution duality, methods and tools,…

Catalan numbers are defined by combinatorial properties, in numerous situations. Here, an integral representation for these Catalan numbers is computed.

A mathematician's work consists of proving theorems, calculating, and making mathematics understandable. An assistant for all three components is a Computer Algebra System. We describe and discuss various CAS-assisted processes for proving theorems, and discuss the constraints which can appear regarding efficiency, confidence in the result and…

An integral, either definite or improper, cannot always be computed by elementary methods, such as reversed usage of differentiation formulae. Graphical properties, in particular symmetries, can be useful to compute the integral, via an auxiliary computation. We present graded examples, then prove a general result. (Contains 4 figures.)

This paper attempts to show that Zwicky's rule of Auxiliary Reduction is an incorrect analysis of the contraction of auxiliaries in English; and that the phonological processes involved are not as complicated as Zwicky makes them out to be. A simpler explanation is offered through analyzing auxiliary reduction as a three-step process. The three…

This paper attempts to show that the theory of phonological rule reordering is not plausible, and that any argument which attempts to use reordering to refute the theory of intrinsic ordering is inadmissible. King's (1973) arguments against intrinsic ordering are based on the theory that two reordering rules operate in phonological processes.…

The evolution of values and standards of behavior as they relate to the body in culture are examined, especially in light of recent trends toward recognition of the natural and the spontaneous, the positive value placed on sexuality, and at the same time, narcissism and emphasis on youth. (MSE)

The purpose of this handbook, created as a component of a sexual assault awareness program at Millikin University, is to provide information needed to assist victims of sexual assault. Information is included on several aspects of sexual assault, as well as references and websites available for additional information. Topics covered include:…

Argues that the most important constraints on any proposed sound change are naturalness and minimality. Examples from Western Romance languages are provided to show how these principles can be applied to the best advantage, and a new solution is proposed to the problem of /erk/ from *DW in Armenian. (27 references) (Author/JL)

Discusses commercial bilingualism in Quebec. Deals with Canada's two official languages and classifies their contact with each other in the world of corporate or brand identity. Discusses what these languages must accomplish in the business world and the new perceptions resulting from their contact. Submits a theory of contact between three…