The main purpose of the study was to understand preservice secondary mathematics teachers&rsquo / pedagogical content knowledge of composite and inverse functions. The study was conducted with three preservice secondary mathematics teachers in Graduate School of Education at Bilkent University. The instruments of the study were qualitative in nature and in four different types of data forms: observations, interviews, documents, and audiovisual materials. Observation data came from fieldnotes by conducting an observation of lessons participants taught at Private Bilkent High School. Interview data came from the transcriptions of semi-structured interviews. Document data came from survey of function knowledge, journal writings, vignettes, and lesson plans. Audiovisual data came from the examination of the videotape of the lessons participants taught. The findings reveal that preservice secondary mathematics teachers&rsquo / knowledge levels in components of pedagogical content knowledge were not at the desired levels and also they experienced difficulty while integrating that knowledge. The results of the study indicate that teacher education should provide courses that cover the content relevant to students in order to assure both depth and breadth in subject matter knowledge of the preservice teachers. Moreover, the activities which mimics the classroom cases and assures the integration of knowledge components like vignettes would be used in teacher education programs. Results can inform educational practices, and reforms in Turkey, and provide a basis for further research, with increased pedagogical content knowledge as the ultimate goal.

Notre projet de recherche porte sur l’enseignement/apprentissage de l’oral en FLE aux étudiants russes de deuxième – et en partie de troisième - année de la faculté de langues de l’université pédagogique. Nous sommes notamment centrés sur l’agir de l’enseignant, celui-ci étant la figure clé assurant la progression du processus de l’apprentissage organisé dans une situation exolingue, en milieu hétéroglotte. Son rôle est plurifonctionnel, ses manifestations sont variables. Les polylogues pédagogiques se trouvent au cœur de nos analyses, dont le but est d’optimiser le processus d’enseignement/apprentissage par l’intermédiaire des modifications de l’agir de l’enseignant en y appliquant notre thèse du « naturel didactique » censée créer des conditions d’expression naturelles dans une situation didactique en motivant ainsi la parole des apprenants, d’une part, et en diminuant la dissymétrie des relations enseignant-apprenants, d’autre part.Les analyses quantitatives ont permis de dégager les particularités discursives des interactions verbales en groupe de FLE de l’université pédagogique russe, notamment la manière spécifique d’agir de l’enseignant. Les éléments dégagés de cette observation permettent d’ouvrir une réflexion sur la pédagogie à concevoir en contexte de la Russie. / Our research project is concerned with the teaching/apprentiship of oral French in the « French as a Foreign Language » (FLE) program for Russian students in the second and, in part, third years in the Faculty of Languages of the teaching university of Vologda. We concentrated in particular on the action of the teacher, since the teacher is the key actor who ensures progress in the learning process in a situation using a non-native language in a foreign language context. The teacher assumes multiple functions with varying manifestations. Pedagogical polylogues are at the heart of our analyses. They aim to optimize the process of teaching/learning by modifying the action of the teacher via the application of our hypothesis of « natural didactics ». This method favors the creation of conditions allowing natural expression in a didactic situation by motivating the learners to speak on the one hand, and by reducing the asymmetry of the teacher-student relation on the other. Quantitative analyses allowed us to isolate particular aspects of verbal interaction in a FLE group within the Russian teaching university and in particular the specific action of the teacher. The results of these observations open up the possibility of a study of pedagogical methods appropriate for use in Russia.