Conjuntos numéricos instigantes: propostas de atividades para desenvolver o pensamento computacional na educação básica

Abstract

This work presents activities encompassing intriguing numerical sets, a pedagogical tool to develop computational thinking according to the general and specific competencies outlined in the National Common Curricular Base (BNCC) for Mathematics Education. Based on a well-founded structure that includes divisibility, prime numbers, perfect numbers, and amicable numbers, we investigate mathematical concepts through theorems, conjectures, and numerical patterns, establishing connections between theory and practice. We organize activities that stimulate problem-solving and understanding of concepts related to the addressed sets, using technological resources such as the digital soroban, GeoGebra, and GNU Octave. In this context, we propose detailed didactic sequences aligned with the BNCC, aiming to assist mathematics teachers in Basic Education conducting classes effectively and engagingly. The activities are contextualized and challenging, encouraging logical reasoning and creativity and enhancing computational thinking skills. The digital technologies used not only allow for exploring the beauty and complexity of the selected numerical sets but also highlight their relevance to the evolution of students’ scientific curiosity, preparing them for future challenges.