Denna fältöversikt kartlägger olika aspekter av matematisk begåvning med särskild fokus på reguljär matematikundervisning. Av forskningsfältet framhålls och exemplifieras varierade synsätt på hur matematikundervisning kan utformas för att erbjuda matematiskt begåvade elever en positiv kunskapsutveckling. De mångfacetterade och varierande infallsvinklarna som finns att tillgå kan göra det svårt för lärare att välja ut lämpliga strategier, metoder och anpassningar för de matematiskt begåvade eleverna de själv har i sina klasser. Resultaten av fältet indikerar att lärares ämneskunskaper och pedagogiska kompetens har störst inverkan på vilket stöd och bemötande elever erbjuds. Det som källorna även framhåller är att begåvade elever behöver identifieras. Identifikationsprocesser beskrivs som en kartläggning av elevernas förmågor, kunskaper och inlärningsstilar men bör även innehålla kontinuerlig utvärdering, analysering och återkoppling av elevers kunskapsutveckling. I källor föreslås det att matematiskt begåvade elever gynnas av individuellt utformad undervisning som inkluderar utmananande och snabbt accelererande uppgifter som med fördel även utgår från elevernas egna intresseområden. / This survey presents a summary of strategies and methods for mathematically gifted individuals’ whit special focus on regular education. Researches exemplify a various spectra of learning environments and methods for gifted students. Although, it can be challenging for teachers to figure out what constitutes an optimal learning environment for mathematically gifted students. According to findings it’s of most interest for gifted children’s positive knowledge development that teachers are professional in both pedagogical and theoretical manners. Manny sources also indicate that mathematically gifted students first of all need to be identified as talented. The identification processes will serve as a form of map in which gifted students skills, knowledge and learning styles are gathered and it also consists of a continual evaluating of student learning processes and knowledge development. Data exemplify that gifted students’ knowledge needs to be challenged and rapidly accelerate in order to interest and motivate them in their learning process. Findings also show that gifted students require personalized solutions that advantageously are originated from students own interests to ensure a positive knowledge development.

This study examines secondary schoolteachers’ experiences regarding the conditions for learning and inclusion that the Swedish school system offers newly arrived students. The results suggest that the framework and guidelines for learning and inclusion are seen by the teachers as both enabling and restricting. Frames and guidelines regarding pedagogical inclusion were described as a tool for developing the students’ (Swedish) language and as a possibility for them to be a part of a Swedish school-context and other students. The opposite teaching-method where newly arrived students are placed in a separate class, apart from the regular classes, are described as enabling in that sense that it allows more individual-adapted teaching. But this way of teaching was also described to have negative effects on the student’s conditions for social inclusion. Further were some frames and guidelines regarding evaluation and grading not in line with most of the teacher’s images of newly arrived students and what these students need in order for the teachers to enable their possibilities for learning. All teachers described a restricted capacity to meet their images of what enables the student’s possibilities for learning as the power of their actions as teachers was perceived as governed by the frames ang guidelines composed by Swedish authorities. The study further suggested that these images of newly arrived students and the perceptions of restricted capacity to meet their needs were created through social processes.