Concepciones y práctica de los estudiantes de pedagogía media en matemáticas con respecto a la resolución de problemas y diseño e implementación de un curso para aprender a resolver problemas

Abstract

The research has studied and analyzed the conceptions and beliefs of the students for mathematics teachers, about problem solving. The participants are 30 fourth year students in the School of Education at the Catholic University of Temuco (Chile) who completed his Teaching Internship (practicum). Subsequently, we conducted a case study with two students, in theirs Teaching Internship stage. The instruments for collecting the information were adapted from those used by Vila and Callejo (2004) and Caballero (2008) for similar works. A workshop on Problem Solving has been designed and implemented, with a duration of 40 teaching hours, in which theoretical references have been provided, different situations resolved using heuristic tools that allow learning to solve problems and learn to teach problema solving. The analysis of information in accordance with the requirements of qualitative methodology allowed us to develop categories, subcategories, indicators and encoders, to facilitate the delivery of results. Summary information is presented in tables, in the style of Contreras (1999) and structure maps similar to those of Vila (2001).We believe that the research results are useful for training teachers, training institutions for mathematics teachers, and materials developed for the Workshop Course in Problem solving constitute an important educational resource for the training of new promotions of mathematical teachers.