As estruturas sociais e econômicas do Império Romano do Ocidente e o estabelecimento do reino dos visigodos nas Galliae Aquitania e Narbonensis

In the year 376 of the Common Era, a tribe of Germanic warriors known as Tervingi , of Gothic extraction, crossed the Hister (Danube) river due south, entering the Roman Empire. They fled the Huns, a nomadic group that came plundering their way from the East. It did not take long for a conflict between the Roman imperial authorities and the refugees to begin. Peace was reached in 382 and, henceforth, the Tervingi would be officially foederati (allies) of the Romans, gaining the right to remain an autonomous tribe inside the borders of the Empire. For the next thirteen years the Tervingi warriors fought beside the Roman imperial armies in every major conflict. Nevertheless, after the death of the emperor Theodosius I in 395, their relations deteriorated severely. In theory, the Tervingi remained Roman allies; in practice, they begun to extort monies and other assets from the emperors Honorius and Arcadius. The sack of Rome by the Tervingi king Alaric in 410 was both the culmination and the point of inflection of this state of affairs. During the 410s the Tervingi warriors would fought again beside the Roman Imperial armies and be rewarded with a piece of land in the southwestern portion of the Gallic diocese. Dubbed Visigoths , they would remain trusted Roman allies throughout the next decades, consolidating their own kingdom in the process. This dissertation deals not only with the institution of the Visigothic kingdom in the southwestern portion of the Galliae but also with the social and economic conditions that hindered the Roman ability to defend their territory by themselves, hence opening opportunities for foederati like the Tervingi to carve out a piece of it for themselves.

Uso pedagógico do ábaco romano para ensino do algoritmo de multiplicação

This dissertation describes the construction of a alternative didactic incorporating a historical approach with the use of the Roman abacus for teaching multiplication to students of 2nd year of elementary school, through activities ranging from the representation of numbers to multiplying with the Roman abacus, for learning the multiplication algorithm. Qualitative research was used as a methodological approach since the research object fits the goals of this research mode. Concerning the procedures, the research can be seen as a teaching experiment developed within the school environment. The instruments used for data collection were: observation, logbook, questionnaires, interviews and document analysis. The processing and analysis of data collected through the activities were classified and quantified in tables for easy viewing, interpretation, understanding, analysis of data and then transposed to charts. The analysis confirmed the research objectives and contributed to indicate the pedagogical use of the Roman abacus for teaching multiplication algorithm through several activities. Thus, it can be considered that this educational product will have important contributions for the teaching of this mathematical content, in Basic Education, particularly regarding to the multiplication process