Junior, Luiz Carlos Leal [UNESP]De La Rosa Onuchic, Lourdes [UNESP]2018-12-112018-12-112015-12-01Bolema - Mathematics Education Bulletin, v. 29, n. 53, p. 955-978, 2015.1980-44150103-636Xhttp://hdl.handle.net/11449/168271This article presents a truly practical experience and the approach of Teaching and Learning Mathematics through Problem Solving, as a sociointeractionist practice from its theoretical and philosophical constitutions to their educational practice in a course of the Programa Nacional de Acesso ao Ensino Técnico e ao Emprego headed by Instituto Federal de São Paulo-Campus Sertaozinho. We present a field of social, historic, and cultural studies as proposed by Problem Solving, not only as a teaching-learning methodology but rather as a field of study that keeps alive the move action /reflection/ action and through concepts and problems in Vygotskys work. Lay hold of the self-regulatory and metacognition elements by thinking-out-loud in the construction of knowledge and creation of learning and some consequences of this practice in schools.955-978porProblem SolvingPRONATECSociointeractionist PracticeTeaching-LearningThinking-Out-LoudArtigo10.1590/1980-4415v29n53a09S0103-636X2015000300955Acesso aberto2-s2.0-84953374412S0103-636X2015000300955.pdf