Ole Ravn – författare

Connecting Humans to Equations: A Reinterpretation of the Philosophy of Mathematics presents some of the most important positions in the philosophy of mathematics, while adding new dimensions to this philosophy. Mathematics is an integral part of human and social life, meaning that a philosophy of mathematics must include several dimensions. This book describes these dimensions by the following four questions that structure the content of the book: Where is mathematics? How certain is mathematics? How social is mathematics? How good is mathematics?

 These four questions refer to the ontological, epistemological, social, and ethical dimension of a philosophy of mathematics. While the ontological and epistemological dimensions have been explored in all classic studies in the philosophy of mathematics, the exploration of the book is unique in its social and ethical dimensions. It argues that the foundation of mathematics is deeply connected to human and social actions and that mathematics includes not just descriptive but also performative features. This human-centered and accessible interpretation of mathematics is relevant for students in mathematics, mathematics education, and any technical discipline and for anybody working with mathematics.

This book addresses the relation between Problem-Based Learning (PBL) and interdisciplinarity and challenges the often implicit assumption that PBL leads to interdisciplinarity by default. The book examines theoretical and philosophical aspects of PBL and interdisciplinary learning. The first part of the book conceptualises the notions of problem-based learning and interdisciplinary learning, and highlights some key overlaps and ways of conceiving of their interrelatedness. It discusses the role of problem-based medical education in relation to interdisciplinary professionalism in medical education. Taking the reader into the realm of techno-anthropology, the book discusses the role of problems and projects in transgressing disciplines, and presents an analysis of three challenges facing new students when entering interdisciplinary and problem-based higher education. The second part of the book focuses on practicing interdisciplinarity in problem-based higher education. It explores how the construction of problems in interdisciplinary PBL projects can be seen from the perspectives of multicultural groups, and examines group processes in interdisciplinary PBL projects.  It concludes by taking a closer look at student practices in interdisciplinary PBL, and at how students are positioned and position themselves in the complex transdisciplinary PBL project.