“…The exploratory approach allowed teachers and future teachers to reflect on classroom teaching, while leading students to face situations for which they have no ready solution method (Ponte, 2005;Ponte et al, 2014), such as exploratory tasks. As a result, they had to work together to solve these tasks (Fujii, 2018), proposing and discussing solution strategies and communicating their mathematical ideas. Besides, teachers and future teachers faced the challenge of studying and developing open mathematical tasks, which did not have pre-defined solution methods, experiencing the exploratory approach in their formative process.…”