Using algorithms and abacus in the study of decimal numbering system on a course of Pedagogy

Abstract

DOI: http://dx.doi.org/10.14244/19827199987

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.

Key words: Initial training, Mathematics education, Scientific knowledge, Teaching-learning process.