International mathematics education researchers give a differentiated overview of views and beliefs of both teachers and students. Beliefs about how to teach mathematics have a high impact on the instructional practice of teachers. In the same way, views and beliefs about mathematics are an essential factor to explain achievement and performance of students. The 19th MAVI conference added a variety of research perspectives to the international discussions of mathematics related beliefs. The authors of this volume have compiled a rich selection of research results, which may further enhance the discussion of MAVI topics in the future. Contents Teachers´ Beliefs in Mathematics Education Beliefs in Teacher Training and Novice Teachers’ Beliefs Beliefs and Technology Beliefs and Problem Solving Target Groups Academics and students in the field of mathematics education Teachers and their training supervisors  The Editors Carola Bernack-Schüler and Ralf Erens are PhD candidates and research assistants at the Institute of Mathematics Education at the University of Education Freiburg. Prof. Dr. Andreas Eichler and Prof. Dr. Timo Leuders are researchers at the Institute of Mathematics Education at the University of Education Freiburg. Andreas Eichler has recently changed position to the University of Kassel.