RT info:eu-repo/semantics/bookPart T1 High School Teachers' Use of a Dynamic Geometry System to Formulate Conjectures and to Transit from Empirical to Geometric and Algebraic Arguments in Problem-Solving Approaches A1 Camacho Machín, Matías A1 Santos Trigo, Manuel A1 Olvera Martínez, Carmen K1 Digital technologies K1 Mathematical problem-solving K1 Conjectures K1 Dynamic geometry system (DGS) AB The aim of the study is to analyse and discuss ways of reasoning that high school teachers develop in a problem-solving environment that fosters the systematic use of digital technologies. Results indicate that they relied on a dynamic geometry system’s affordances to initially make sense of problem statements to formulate a set of conjectures or relationships that involve mathematical parameters’ behaviours. Initially these conjectures were empirically validated or through visual and quantitative arguments; but later the same arguments were a source to think with an algebraic support. Throughout the activities, the participants engaged in mathematical reflection to reconcile visual, geometric and algebraic or analytical approaches. PB Springer SN 978-3-319-99861-9 YR 2018 FD 2018 LK http://riull.ull.es/xmlui/handle/915/35100 UL http://riull.ull.es/xmlui/handle/915/35100 LA en DS Repositorio institucional de la Universidad de La Laguna RD 23-nov-2024