Segurança Digital e Inteligência Artificial: Novos Caminhos para o Ensino de Matemática

Abstract

The approval of the National Common Curricular Base (BNCC) in 2017 introduced subjects that connect theory with essential devices used in students’ daily lives, highlighting Financial Education, Learning Environments, and Digital Technologies. In this thesis, we present proposals for connections among mathematical concepts studied in elementary school and immersed in new computational technologies, such as digital security and artificial intelligence. Within the scope of Digital Security, we work on the concept of digital currency through Bitcoin, which is already quite widespread. Based on this motivation, it is possible to explore mathematical modeling concepts in teaching functions. For the mathematical modeling methodology to be used, a systematic review of Blockchain technology, fundamental to several current technological tools, is addressed. Next, cryptography concepts and mathematical functions (linear, quadratic, geometric, exponential, and logarithmic) applied to Bitcoin price curve adjustments are discussed. We use electronic spreadsheets for data analysis and the Pearson coefficient to evaluate the best fit to predict the currency’s price. Taking advantage of the fact that we are increasingly involved with applications that use Artificial Intelligence, we then look at basic concepts necessary to understand unsupervised Machine Learning methods combined with the choice of decisions that must be made using a mathematical language that can be applied in even elementary school classes. The thesis culminates in a proposal for a didactic sequence that teachers can use and adapt for undergraduate mathematics courses, encouraging the practical application of mathematical modeling and stimulating students’ understanding of cryptoeconomics, data analysis techniques, and artificial intelligence