Usando algoritmos e ábaco no estudo do sistema de numeração decimal em um curso de Pedagogia

Studies in Mathematics Education have described difficulties of teachers in the use of algorithms in arithmetic teaching in the initial grades, difficulties leading to questions about the quality of theoretical and practical training provided for teachers in this area. In this context, the present study aimed to investigate the formation of concepts and construction of mathematical knowledge of Pedagogy students in relation to arithmetic teaching, basic operations using abacus and algorithms, as well as the decimal numbering system. In the theoretical approach, the authors reflect on initial teacher training for Mathematics teachers in the initial grades, the necessity of training grounded in knowledge to the process of teaching/learning and the importance of teacher training in methodological contents and in specific contents. A qualitative and quantitative approach was used, the data collection occurred with the use of semi-structured questionnaires, procedures in the activities report, direct observation and video recording. The results showed that studies with both methodological approaches, abacus and algorithms, might contribute to the formation, reframing concepts and construction of mathematical knowledge, but also could provide information for a better pedagogical and specific training. Estudos em Educação Matemática têm descrito dificuldades de professores na utilização de algoritmos no ensino de aritmética nas séries iniciais, dificuldades que provocam questionamentos quanto à qualidade da formação teórico-prática oferecida para a docência nessa área. Nesse contexto, o presente estudo teve como objetivo investigar a formação de conceitos e construção do conhecimento matemático de estudantes de Pedagogia em relação ao ensino de aritmética, das operações fundamentais com a utilização de ábaco e algoritmos, bem como, do sistema de numeração decimal. No referencial teórico adotado, os autores refletem sobre a formação inicial de professores para a docência da Matemática nas séries iniciais, sobre a ...