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In this paper we investigate how the planning and implementation of a mathematical modeling activity that includes information processing, based on the Documentational Approach to Didactics is. The activity analyzed was planned by teachers in continuing education within the scope of a discipline of Mathematical Modeling of the Master's in Mathematics Teaching of Universidade Tecnológica Federal do Paraná. The activity was implemented in four classes with a group of the 7th grade of elementary school by a pair of teachers. The data that supported our analysis came from audio and video recordings of the planning and implementation of the activity, the recording of the lesson plan, the reports delivered by the 7th grade students and a questionnaire about the activity. Through qualitative analysis supported by the Documentational Approach to Didactics and Trees of Association of Ideas, we show that the plan initially structured by the pair was re-elaborated considering suggestions from other teachers in continuing education prior to the implementation of classes, necessary changes during classes and subsequent suggestions to classes with the reports of the pair in a conversation round of the discipline. [ABSTRACT FROM AUTHOR]

In this paper, we present a methodological proposal of the design of an SRP, based on the paradigm of questioning the world and inspired by the methodology for the design of didactic activities based on mathematical modeling Consuelo Macias (2012). The analysis of a course of automatic control turns out to be a key element to determine the generatrix question that motivates the SRP. The analysis a priori shows the form in which the students might develop three stages of SRP and to use the differential equations to control the speed of an engine of direct current. The methodological proposal for the design of an SRP, it is considered to be useful for the vocational training. [ABSTRACT FROM AUTHOR]

The aim of this paper is to present partial results of an ongoing study, which investigates the teaching of polynomial factoring through analysis of didactic and mathematical praxeologies, institutional and personal relationships developed for their study, based on Brazilian official documents and textbooks for future intervention with a group of mathematics teachers and high school students. We take as theoretical foundation the anthropological theory of the didactic and as a methodology, study and research paths (SRP) by Chevallard and collaborators. [ABSTRACT FROM AUTHOR]

The aim of this paper is to investigate which kind of conditions and constraints affect Japanese and Swedish teacher educators' pedagogical content knowledge (PCK). We analyse the praxeologies of the lessons in which the educators teach area determination. Our study shows that the Japanese teacher educators' PCK are more explicitly shared by the community of the teacher educators compared to the Swedish counterpart. Also, the detailed Japanese curriculum and the structured problem solving approach promote to illustrate how to construct rich mathematical and didactical organisations for prospective teachers. [ABSTRACT FROM AUTHOR]

In this paper, we seek to identify some elements of a professional teaching logos regarding rigour and point out an axiological dimension of this logos. In contrast to a more autonomous approach to rigour in the field of mathematical production, many teachers' justifications to their expectations about rigour are based on ethical or aesthetical grounds. The exploration of a possible link between this axiologisation of rigour and the social reproduction of the profession of mathematics teacher is also considered. [ABSTRACT FROM AUTHOR]

This paper aims to discuss the concepts of Practice as a Curricular Component (PCC) in the literature, seeking to consolidate this questions in the field of Education, in particular Mathematics Education. For this, we contextualize the idea of the PCC as from legal documents regarding the initial formation of teachers and we show an overview of the research and conceptions of PCC present in the literature. In this movement, we observed the difficulties and distortions in the implementation of hours of PCC in degree courses in mathematics. In addition, we reflect on a specific discipline with hours of PCC, that has as its main topic digital technologies. We advocate that the PCC be effectively present in the graduation, seeking to overcome the dichotomy between specific knowledge and pedagogical knowledge. We emphasize that only public policies are not enough for effective changes to occur in the context of initial formation teacher. [ABSTRACT FROM AUTHOR]

In doing teaching courses in Mathematics, we can see daily - between students and faculty - the perception that the Supervised summed up as only a moment in which students are sent to school and put into practice all the theory studied graduation. Search in this paper show that the supervised perception is not limited to the above: in fact, he has a strong pedagogical action in teaching practice, in which knowledge and skills essential to show the formation of future teachers, and its appropriate achieved a relevant factor in this training. We also emphasize the importance of preparing future teachers for the initial contact with the establishment of educational technologies and teaching appropriate for this use. [ABSTRACT FROM AUTHOR]