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This article focuses on the similarities and differences in the academic education of software engineers and architects. The rationale for this work stems from our observation, each from the perspective of her or his own discipline, that these two professional design and development processes share some similarities. A pilot study was performed, in which 24 practitioners (12 software engineers and 12 architects) were interviewed concerning the main characteristics of the two professions. The characteristics were classified according to four categories: discipline-related characteristics, professional skills, characteristics of typical problems and processes, and characteristics of a typical product. Data analysis indicates that according to the practitioners, while the professional skills required of professionals in the two disciplines are mostly common, the difference between the two disciplines is reflected most significantly in the features of the product created in the two professional processes. Based on this observation, some conclusions are outlined with respect to the academic education in the two fields. [ABSTRACT FROM AUTHOR]

Research in mathematics education usually attempts to look into students’ learning and other mental processes. It could therefore be expected to build on knowledge acquired within the academic discipline of cognitive psychology. Our aim in this paper is to show how some recent developments in cognitive psychology can help interpret empirical results from mathematics education. In particular, we will be looking into the heuristics-and-biases research by Kahneman and Tversky, the alternative views by Gigerenzer et al., and the more recent dual-process theory that has come to play a central role in interpreting this research. We first introduce the relevant background from cognitive psychology and survey its connections to previous work in mathematics education; then we apply this theoretical framework for re-interpreting previously-published empirical data from mathematics education research. We conclude with a discussion of potential theoretical and practical benefits of such synthesis. [ABSTRACT FROM AUTHOR]