Sensibilização para existência e dos números Irracionais

Abstract

The didactic approach of Irrational number Features and peculiarities not always presents enough structure to understand these concepts in a concrete way. A bibliography review shows a few researches about this subject. The present research intend to give this contribution and it is based in task’s elaboration, implementation and analysis about learning irrational numbers. The point is turned to teacher education, night school Math major in college bachelors at Baixada Fluminense public university, and has the goal contribute with his pedagogical practice and encourage to figure out the relevance of this study. The research methodology was DBR (Design Based Research) from survey through questionnaires and applied activities, in iterative forms about irrational numbers set concepts, structures and applications. Data collection was done through researcher field diary, questionnaires, activities sheets, and team work audio tapes.The analyses is guide by irrational numbers concepts building and found that perception of these numbers need living about measure, approximations and different representation. Te research was two big moment: the first to understand the bachelors professional profile and create the material used in classes and the second one the analysis at the end of each implemented task and at the process end. The study shows bachelors familiarity lack when used manipulative materials and with immeasurabble idea. As a contribution emphasise the need to check about adequacy to middle school students of tasks, news theoretical approaches and the development of new irrational numbers problem situations. As a result was observed that tasks are a strong path to learn the subject, irrational numbers and as an educational product was born a graduate course proposal for teachers about the subject.