The aim of this thesis is to elaborate a set of tasks that will have increasing difficulty and will lead pupils to the skill of solving problems designed for gifted students. The action research will focus on the student's work with the proposed tasks. In the theoretical part, attention will be paid to the available literature on the teaching of mathematics to exceptionally gifted pupils.

There are many challenges that the educational system needs to face to offer an education of quality searching the proper attendance to the cognitive demands of all the students. This research had, as a main aim, to analyze the New Talent Project of UFS. Identifying its influence in the school performance of the participants in the school performance of the participants we used a methodology with a qualitative approach having as procedure the case study of ethnography base because it involves a group for an intensive analysis of a specific situation; before this we tried to collaborate with the nowadays discussion about the educational attendance with students with gift and talent in the field of mathematics. The instruments used in the collect of data were open and semi-structured, questionary, scale of self-evaluation of academic performance, document and record to a positive influence of the participation in the new talent project in the school performance of the students, in spite of other variables interfered in this process. So there results suggest the meaningful importance of this environmental catalyzer (new talent project) for the student with mathematical talent in his development in the scientific and mathematical fields / São muitos os desafios que o sistema educacional precisa enfrentar para poder oferecer uma educação de qualidade, buscando o atendimento adequado às demandas cognitivas do seu alunado como um todo. Esta pesquisa teve como objetivo principal analisar o Projeto Novo Talentos, da Universidade Federal de Sergipe, a fim de identificar sua influência no desempenho escolar dos participantes. Buscamos utilizar uma metodologia com abordagem qualitativa tendo como procedimento o estudo de caso de base etnográfica e histórica porque envolve um grupo para análise intensiva de uma situação particular. Diante disto, buscamos contribuir para a atual discussão sobre o atendimento educacional a alunos com dotação e talento na área da matemática. Os instrumentos utilizados na coleta de dados foram entrevistas abertas e semiestruturada, questionário, escala de auto-avaliação do desempenho acadêmico, documentos e diário de campo. Os resultados apontaram para uma influência positiva da participação no Projeto Novos Talentos quanto ao desempenho escolar dos alunos, apesar de outras variáveis interferirem nesse processo. Portanto, esses resultados sugerem a importância significativa desse catalizador ambiental (Projeto Novos Talentos) para o aluno com talento matemático no seu processo educacional, oportunizando seu desenvolvimento nas áreas científicas e da matemática

Elever med särskild matematisk begåvning är i lika stort behov av att bli utmanade, hjälpta och sedda som alla andra elever. Dessa elever hamnar ibland i situationer då de behöver klara sig själva för att det finns andra elever som är i ”större” behov av lärarens uppmärksamhet. Syftet med denna studie är att få ökad kunskap om hur matematiklärare i årskurs 4–6 arbetar, utmanar och uppmärksammar elever med särskild matematisk begåvning. Metoden som använts är semistrukturerade intervjuer för att intervjua fyra aktivt undervisande matematiklärare i årskurs 4–6.  I samtliga intervjuer framkom teman som indikerade att kunskapen om dessa elevers behov av uppmärksamhet är hög men resurserna att ge dem det de behöver är bristfälliga vilket resulterar i att de ofta får klara sig själva. / Pupils with special mathematical talent are in the same need of being challenged, helped and seen as all other pupils. These students sometimes end up in situations where they need to cope themselves with parts of their learning, because there are other students who are in "greater" need of the teacher's attention. The purpose of this study is to gain a greater understanding of how teachers currently teaching mathematically talented students in grades 4-6, work with these students, the challenges the teachers face and how the teachers’ pay attention to pupils. The method used is semi-structured interviews for interviewing four teachers currently teaching mathematically talented students in grades 4–6. In all interviews the  emerging themes indicated that the knowledge of these pupils' need for attention is high, but the resources to give them what they need are inadequate, which results in them often having to cope with their own learning on their own.