1,721,010 research outputs found
Considerazioni sulla prova del nove
No full textVengono illustrati alcuni aspetti matematici relativi alla Prova del nove. Vengono descritte alcune estensioni ad interi diversi da 9 e calcoli con frazion
Approximate distances, pointless geometry and incomplete information
No full textIn this paper an abstract notion of approximate metric space is proposed by means of an interval-valued distance between regions. Regions are interpreted as pieces of information in a space. The resulting theory supports some promising applications to some topics of fuzzy set theory, rough set theory and clustering
Interval semimetric spaces for approximate distances
No full textIn accordance with the ideas of Interval Analysis, a notion of interval-valued semimetric space is proposed. Also, the possibility of applying the resulting theory to some chapters of Computer Science is examined
Cultural transposition of a thinking classroom: to conceive possible unthoughts in mathematical problem solving activity
Full text linkThis study concerns a professional development course designed and implemented for prospective teachers, centred on a teaching method regarding problem-solving activity, namely, the Thinking Classroom. The study is framed in the theory of cultural transposition, a perspective about the encounter with teaching practices from different cultural/school contexts. Cultural aspects are considered crucial and this encounter between cultures is seen as an opportunity for actors to become aware of their own unthoughts, i.e., some of the ‘invisible’ cultural beliefs about teaching and learning absorbed by their own culture. According to this framework, we present the results from a questionnaire given to all the participants, and two case studies of prospective teachers involved in the professional development, in order to discuss the kind of unthoughts on which they have focused in thinking about this training experience
Convergence and fixed points by fuzzy orders
No full textA general approach to fixed point theory is proposed which is related to the notion of fuzzy ordering. This approach extends both the fixed point theorems in metric spaces and the ones in ordered sets
The worlds’ game: collective language manipulation as a space to develop logical abilities in a primary school classroom
No full textThis paper presents a Vygotskian research device that focuses on collaborative activities based on the manipulation of linguistic objects in a primary school classroom, with 8–9-year-old children. Through social exchanges among the different points of view, the children were engaged in a dynamic process of building and negotiating mathematical meanings. How the children may become aware of the possibility that the same language can have different interpretations as well as some aspects of the distinction between syntax and semantic is analyzed. The analyzed activity is the “worlds’ game,” the final step of a didactic path based on the construction and manipulation of a procedural language. The content analysis of the elicitation interviews allows to reconstruct children’s reasoning, individually developed during and after the activities. From a qualitative analysis, it emerges how almost all the children reached a good level of awareness and mastery about the possibility that the same language can have different interpretations and, therefore, about some aspects of the difference between syntax and semantics
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